Treas. Reg. § 20.2031-7A Valuation of annuities, interests for life or a term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is before June 1, 2023.

eCFR as of 2026-10-19 · Interprets § 2031

(a) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is before January 1, 1952. Except as otherwise provided in § 20.2031-7(b), if the valuation date of the decedent's gross estate is before January 1, 1952, the present value of annuities, life estates, terms for years, remainders, and reversions is their present value determined under this section. If the valuation of the interest involved is dependent upon the continuation or termination of one or more lives or upon a term certain concurrent with one or more lives, the factor for the present value is computed on the basis of interest at the rate of 4 percent a year, compounded annually, and life contingencies as to each life involved from values that are based on the Actuaries' or Combined Experience Table of Mortality, as extended. This table and related factors are described in former § 81.10 (as contained in the 26 CFR part 81 edition revised as of April 1, 1958). The present value of an interest measured by a term of years is computed on the basis of interest at the rate of 4 percent a year.

(b) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after December 31, 1951, and before January 1, 1971. Except as otherwise provided in § 20.2031-7(b), if the valuation date for the decedent's gross estate is after December 31, 1951, and before January 1, 1971, the present value of annuities, life estates, terms of years, remainders, and reversions is their present value determined under this section. If the valuation of the interest involved is dependent upon the continuation or termination of one or more lives, or upon a term certain concurrent with one or more lives, the factor for the present value is computed on the basis of interest at the rate of 3 1/2 percent a year, compounded annually, and life contingencies as to each life involved are taken from U.S. Life Table 38. This table and related factors are set forth in former § 20.2031-7 (as contained in the 26 CFR part 20 edition revised as of April 1, 1984). Special factors involving one and two lives may be found in or computed with the use of tables contained in the publication entitled “Actuarial Values for Estate and Gift Tax,” Internal Revenue Service Publication Number 11 (Rev. 5-59). This publication is no longer available for purchase from the Superintendent of Documents. However, it may be obtained by requesting a copy from: CC:DOM:CORP:T:R (IRS Publication 11), room 5228, Internal Revenue Service, POB 7604, Ben Franklin Station, Washington, DC 20044. The present value of an interest measured by a term of years is computed on the basis of interest at the rate of 3 1/2 percent a year.

(c) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after December 31, 1970, and before December 1, 1983. Except as otherwise provided in § 20.2031-7(b), if the valuation date of the decedent's gross estate is after December 31, 1970, and before December 1, 1983, the present value of annuities, life estates, terms of years, remainders, and reversions is their present value determined under this section. If the valuation of the interest involved is dependent upon the continuation of or termination of one or more lives or upon a term certain concurrent with one or more lives, the factor for the present value is computed on the basis of interest at the rate of 6 percent a year, compounded annually, and life contingencies are determined as to each male and female life involved, from values that are set forth in Table LN. Table LN contains values that are taken from the life table for total males and the life table for total females appearing as Tables 2 and 3, respectively, in United States Life Tables: 1959-1960, published by the Department of Health and Human Services, Public Health Service. Table LN and related factors are set forth in former § 20.2031-10 (as contained in the 26 CFR part 20 edition revised as of April 1, 1994). Special factors involving one and two lives may be found in or computed with the use of tables contained in Internal Revenue Service Publication 723, “Actuarial Values I: Valuation of Last Survivor Charitable Remainders,” (12-70), and Internal Revenue Service Publication 723A, “Actuarial Values II: Factors at 6 Percent Involving One and Two Lives,” (12-70). These publications are no longer available for purchase from the Superintendent of Documents. However, a copy of each may be obtained from: CC:DOM:CORP:T:R (IRS Publication 723/723A), room 5228, Internal Revenue Service, POB 7604, Ben Franklin Station, Washington, DC 20044.

(d) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after November 30, 1983, and before May 1, 1989—(1) In general. (i) Except as otherwise provided in § 20.2031-7(b), if the decedent died after November 30, 1983, and the valuation date for the gross estate is before May 1, 1989, the fair market value of annuities, life estates, terms of years, remainders, and reversions is their present value determined under this section. If the decedent died after November 30, 1983, and before August 9, 1984, or, in cases where the valuation date of the decedent's gross estate is before May 1, 1989, if, on December 1, 1983, the decedent was mentally incompetent so that the disposition of the decedent's property could not be changed, and the decedent died on or after December 1, 1983, without having regained competency to dispose of the decedent's property, or if the decedent died within 90 days of the date on which the decedent first regained competency, the fair market value of annuities, life estates, terms for years, remainders, and reversions included in the gross estate of such decedent is their present value determined under either this section or § 20.2031-7A(c), at the option of the taxpayer. The value of annuities issued by companies regularly engaged in their sale, and of insurance policies on the lives of persons other than the decedent, is determined under § 20.2031-8. The fair market value of a remainder interest in a charitable remainder unitrust, as defined in § 1.664-3 of this chapter, is its present value determined under § 1.664-4 of this chapter. The fair market value of a life interest or term for years in a charitable remainder unitrust is the fair market value of the property as of the date of valuation less the fair market value of the remainder interest on such date determined under § 1.664-4 of this chapter. The fair market value of the interests in a pooled income fund, as defined in § 1.642(c)-5 of this chapter, is their value determined under § 1.642(c)-6 of this chapter.

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    (ii) The present value of an annuity, life estate, remainder, or reversion determined under this section which is dependent on the continuation or termination of the life of one person is computed by the use of Table A in paragraph (d)(6) of this section. The present value of an annuity, term for years, remainder, or reversion dependent on a term certain is computed by the use of Table B in paragraph (d)(6) of this section. If the interest to be valued is dependent upon more than one life or there is a term certain concurrent with one or more lives, see paragraph (d)(5) of this section. For purposes of the computations described in this section, the age of a person is to be taken as the age of that person at his or her nearest birthday.

    (iii) In all examples set forth in this section, the decedent is assumed to have died on or after August 9, 1984, with the valuation date of the decedent's gross estate before May 1, 1989, and to have been competent to change the disposition of the property on December 1, 1983.

    (2) Annuities. (i) If an annuity is payable annually at the end of each year during the life of an individual (as for example if the first payment is due one year after the decedent's death), the amount payable annually is multiplied by the figure in column 2 of Table A opposite the number of years in coumn 1 nearest the age of the individual whose life measures the duration of the annuity. If the annuity is payable annually at the end of each of year for a definite number of years, the amount payable annually is multiplied by the figure in column 2 of Table B opposite the number of years in column 1 representing the duration of the annuity. The application of this paragraph (d)(2)(i) may be illustrated by the following examples:

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      Example (1).

      The decedent received, under the terms of the decedent's father's will an annuity of $10,000 a year payable annually for the life of the decedent's elder brother. At the time the decedent died, an annual payment had just been made. The brother at the decedent's death was 40 years eight months old. By reference to Table A, the figure in column 2 opposite 41 years, the number nearest to the brother's actual age, is found to be 9.1030. The present value of the annuity at the date of the decedent's death is, therefore, $91,030 ($10,000 × 9.1030).

      Example (2).

      The decedent was entitled to receive an annuity of $10,000 a year payable annually throughout a term certain. At the time the decedent died, the annual payment had just been made and five more annual payments were still to be made. By reference to Table B, it is found that the figure in column 2 opposite five years is 3.7908. The present value of the annuity is, therefore, $37,908 ($10,000 × 3.7808).

      (ii) If an annuity is payable at the end of semiannual, quarterly, monthly, or weekly periods during the life of an individual (as for example if the first payment is due one month after the decedent's death), the aggregate amount to be paid within a year is first multiplied by the figure in column 2 of Table A opposite the number of years in column 1 nearest the age of the individual whose life measures the duration of the annuity. The product so obtained is then multiplied by whichever of the following factors is appropriate:

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        If the annuity is payable at the end of semiannual, quarterly, monthly, or weekly periods for a definite number of years, the aggregate amount to be paid within a year is first multiplied by the figure in column 2 of Table B opposite the number of years in column 1 representing the duration of the annuity. The product so obtained is then multiplied by whichever of the above factors is appropriate. The application of this paragraph (d)(2)(ii) may be illustrated by the following example:

        Example.

        The facts are the same as those contained in example (1) set forth in paragraph (d)(2)(i) of this section, except that the annuity is payable semiannually. The aggregate annual amount, $10,000, is multiplied by the factor 9.1030 and the product multiplied by 1.0244. The present value of the annuity at the date of the decedent's death is, therefore, $93,251.13 ($10,000 × 9.1030 × 1.0244).

        (iii)(A) If the first payment of an annuity for the life of an individual is due at the beginning of the annual or other payment period rather than at the end (as for example if the first payment is to be made immediately after the decedent's death), the value of the annuity is the sum of (A) the first payment plus (B) the present value of a similar annuity, the first payment of which is not to be made until the end of the payment period, determined as provided in paragraphs (d)(2)(i) or (ii) of this section. the application of this paragraph (d)(2)(iii)(A) may be illustrated by the following example:

        Example.

        The decedent was entitled to receive an annuity of $50 a month during the life of another person. The decedent died on the date the payment was due. At the date of the decedent's death, the person whose life measures the duration of the annuity was 50 years of age. The value of the annuity at the date of the decedent's death is $50 plus the product of $50 × 12 × 8.4743 (see Table A) × 1.0450 (See paragraph (d)(2)(ii) of this section). That is $50 plus $5,313.39, or $5,363.39.

        (B) If the first payment of an annuity for a definite number of years is due at the beginning of the annual or other payment period, the applicable factor is the product of the factor shown in Table B multiplied by whichever of the following factors is appropriate:

        The application of this paragraph (d)(2)(iii)(B) may be illustrated by the following example:

        Example.

        The decedent was the beneficiary of an annuity of $50 a month. On the day a payment was due, the decedent died. There were 300 payments to be made, including the payment due. The value of the annuity as of the date of decedent's death is the product of $50 × 12 × 9.0770 (see Table B) × 1.0534, or $5,737.03.

        (3) Life estates and terms for years. If the interest to be valued is the right of a person for his or her life, or for the life of another person, to receive the income of certain property or to use nonincome-producing property, the value of the interest is the value of the property multiplied by the figure in column 3 of Table A opposite the number of years nearest to the actual age of the measuring life. If the interest to be valued is the right to receive income of property or to use nonincome-producing property for a term of years, column 3 of Table B is used. The application of this paragraph (d)(3) may be illustrated by the following example:

        Example.

        The decedent or the decedent's estate was entitled to receive the income from a fund of $50,000 during the life of the decedent's elder brother. Upon the brother's death, the remainder is to go to B. The brother was 31 years, five months old at the time of decedent's death. By reference to Table A the figure in column 3 opposite 31 years is found to be 0.95254. The present value of the decedent's interest is, therefore, $47,627 ($50,000 × 0.95254).

        (4) Remainders or reversionary interests. If a decedent had, at the time of the decedent's death, a remainder or a reversionary interest in property to take effect after an estate for the life of another, the present value of the decedent's interest is obtained by multiplying the value of the property by the figure in column 4 of Table A opposite the number of years nearest to the actual age of the person whose life measures the preceding estate. If the remainder or reversion is to take effect at the end of the term for years, column 4 of Table B is used. The application of this paragraph (d)(4) may be illustrated by the following example:

        Example.

        The decedent was entitled to receive certain property worth $50,000 upon the death of the decedent's elder sister, to whom the income was bequeathed for life. At the time of the decedent's death, the elder sister was 31 years five months old. By reference to Table A the figure in column 4 opposite 31 years is found to be .04746. The present value of the remainder interest at the date of the decedent's death is, therefore, $2,373 ($50,000 × .04746).

        (5) Actuarial computations by the Internal Revenue Service. If the valuation of the interest involved is dependent upon the continuation or the termination of more than one life or upon a term certain concurrent with one or more lives a special factor must be used. The factor is to be computed on the basis of interest at the rate of 10 percent a year, compounded annually, and life contingencies determined, as to each person involved, from the values of lx that are set forth in column 2 of Table LN of paragraph (d)(6). Table LN contains values of lx taken from the life table for the total population appearing as Table 1 of United States Life Tables: 1969-71, published by the Department of Health and Human Services, Public Health Service. Many special factors involving one and two lives may be found in or computed with the use of the tables contained in Internal Revenue Service Publication 723E, “Actuarial Values II: Factors at 10 Percent Involving One and Two Lives,” (12-83). This publication is no longer available for purchase from the Superintendent of Documents. However, it may be obtained by requesting a copy from: CC:DOM:CORP:T:R (IRS Publication 723E), room 5228, Internal Revenue Service, POB 7604, Ben Franklin Station, Washington, DC 20044. However, if a special factor is required in the case of an actual decedent, the Commissioner will furnish the factor to the executor upon request. The request must be accompanied by a statement of the date of birth of each person, the duration of whose life may affect the value of the interest, and by copies of the relevant instruments. Special factors are not furnished for prospective transfers.

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          (6) Tables. The following tables shall be used in the application of the provisions of this section:

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            Table A—Single Life, Unisex, 10 Percent—Table Showing the Present Worth of an Annuity, of a Life Estate, and a Remainder Interest—Applicable for Transfers After November 30, 1983, and Before May 1, 1989
            (1) Age(2) Annuity(3) Life estate(4) Remainder
            09.7188.97188.02812
            19.8988.98988.01012
            29.9017.99017.00983
            39.9008.99008.00992
            49.8981.98981.01019
            59.8938.98938.01062
            69.8884.98884.01116
            79.8822.98822.01178
            89.8748.98748.01252
            99.8663.98663.01337
            109.8565.98565.01435
            119.8453.98453.01547
            129.8329.98329.01671
            139.8198.98198.01802
            149.8066.98066.01934
            159.7937.97937.02063
            169.7815.97815.02185
            179.7700.97700.02300
            189.7590.97590.02410
            199.7480.97480.02520
            209.7365.97365.02635
            219.7245.97245.02755
            229.7120.97120.02880
            239.6986.96986.03014
            249.6841.96841.03159
            259.6678.96678.03322
            269.6495.96495.03505
            279.6290.96290.03710
            289.6062.96062.03938
            299.5813.95813.04187
            309.5543.95543.04457
            319.5254.95254.04746
            329.4942.94942.05058
            339.4608.94608.05392
            349.4250.94250.05750
            359.3868.93868.06132
            369.3460.93460.06540
            379.3026.93026.06974
            389.2567.92567.07433
            399.2083.92083.07917
            409.1571.91571.08429
            419.1030.91030.08970
            429.0457.90457.09543
            438.9855.89855.10145
            448.9221.89221.10779
            458.8558.88558.11442
            468.7863.87863.12137
            478.7137.87137.12863
            488.6374.86374.13626
            498.5578.85578.14422
            508.4743.84743.15257
            518.3874.83874.16126
            528.2969.82969.17031
            538.2028.82028.17972
            548.1054.81054.18946
            558.0046.80046.19954
            567.9006.79006.20994
            577.7931.77931.22069
            587.6822.76822.23178
            597.5675.75675.24325
            607.4491.74491.25509
            617.3267.73267.26733
            627.2002.72002.27998
            637.0696.70696.29304
            646.9352.69352.30648
            656.7970.67970.32030
            666.6551.66551.33449
            676.5098.65098.34902
            686.3610.63610.36390
            696.2086.62086.37914
            706.0522.60522.39478
            715.8914.58914.41086
            725.7261.57261.42739
            735.5571.55571.44429
            745.3862.53862.46138
            755.2149.52149.47851
            765.0441.50441.49559
            774.8742.48742.51258
            784.7049.47049.52951
            794.5357.45357.54643
            804.3659.43659.56341
            814.1967.41967.58033
            824.0295.40295.59705
            833.8642.38642.61358
            843.6998.36998.63002
            853.5359.35359.64641
            863.3764.33764.66236
            873.2262.32262.67738
            883.0859.30859.69141
            892.9526.29526.70474
            902.8221.28221.71779
            912.6955.26955.73045
            922.5771.25771.74229
            932.4692.24692.75308
            942.3728.23728.76272
            952.2887.22887.77113
            962.2181.22181.77819
            972.1550.21550.78450
            982.1000.21000.79000
            992.0486.20486.79514
            1001.9975.19975.80025
            1011.9532.19532.80468
            1021.9054.19054.80946
            1031.8437.18437.81563
            1041.7856.17856.82144
            1051.6962.16962.83038
            1061.5488.15488.84512
            1071.3409.13409.86591
            1081.0068.10068.89932
            109.4545.04545.95455
            Table B—Term Certain, Unisex, 10 Percent—Table Showing the Present Worth of an Annuity for a Term Certain, of an Income Interest for a Term Certain, and of a Remainder Interest Postponed for a Term Certain—Applicable for Transfers After November 30, 1983, and before May 1, 1989
            (1) Number of years(2) Annuity(3) Term certain(4) Remainder
            1.9091.090909.909091
            21.7355.173554.826446
            32.4869.248685.751315
            43.1699.316987.683013
            53.7908.379079.620921
            64.3553.435526.564474
            74.8684.486842.513158
            85.3349.533493.466507
            95.7590.575902.424098
            106.1446.614457.385543
            116.4951.649506.350494
            126.8137.681369.318631
            137.1034.710336.289664
            147.3667.736669.263331
            157.6061.760608.239392
            167.8237.782371.217629
            178.0216.802155.197845
            188.2014.820141.179859
            198.3649.836492.163508
            208.5136.851356.148644
            218.6487.864869.135131
            228.7715.877154.122846
            238.8832.888322.111678
            248.9847.898474.101526
            259.0770.907704.092296
            269.1609.916095.083905
            279.2372.923722.076278
            289.3066.930657.069343
            299.3696.936961.063039
            309.4269.942691.057309
            319.4790.947901.052099
            329.5264.952638.047362
            339.5694.956943.043057
            349.6086.960857.039143
            359.6442.964416.035584
            369.6765.967651.032349
            379.7059.970592.029408
            389.7327.973265.026735
            399.7570.975696.024304
            409.7791.977905.022095
            419.7991.979914.020086
            429.8174.981740.018260
            439.8340.983400.016600
            449.8491.984909.015091
            459.8628.986281.013719
            469.8753.987528.012472
            479.8866.988662.011338
            489.8969.989693.010307
            499.9063.990630.009370
            509.9140.991481.008519
            519.9226.992256.007744
            529.9296.992960.007040
            539.9360.993600.006400
            549.9418.994182.005818
            559.9471.994711.005289
            569.9519.995191.004809
            579.9563.995629.004371
            589.9603.996026.003974
            599.9639.996387.003613
            609.9672.996716.003284
            Table LN—Applicable for Transfers After November 30, 1983, and Before May 1, 1989
            (1) Age X(2) lx
            0100,000
            197,998
            297,876
            397,792
            497,724
            597,668
            697,619
            797,573
            897,531
            997,494
            1097,460
            1197,430
            1297,401
            1397,367
            1497,322
            1597,261
            1697,181
            1797,083
            1896,970
            1996,846
            2096,716
            2196,580
            2296,438
            2396,292
            2496,145
            2596,000
            2695,859
            2795,721
            2895,586
            2995,448
            3095,307
            3195,158
            3295,003
            3394,840
            3494,666
            3594,482
            3694,285
            3794,073
            3893,843
            3993,593
            4093,322
            4193,028
            4292,712
            4392,368
            4491,995
            4591,587
            4691,144
            4790,662
            4890,142
            4989,579
            5088,972
            5188,315
            5287,605
            5386,838
            5486,007
            5585,110
            5684,142
            5783,103
            5881,988
            5980,798
            6079,529
            6178,181
            6276,751
            6375,236
            6473,631
            6571,933
            6670,139
            6768,246
            6866,254
            6964,166
            7061,984
            7159,715
            7257,360
            7354,913
            7452,363
            7549,705
            7646,946
            7744,101
            7841,192
            7938,245
            8035,285
            8132,323
            8229,375
            8326,469
            8423,638
            8520,908
            8618,282
            8715,769
            8813,407
            8911,240
            909,297
            917,577
            926,070
            934,773
            943,682
            952,786
            962,068
            971,511
            981,087
            99772
            100542
            101375
            102257
            103175
            104117
            10578
            10652
            10734
            10822
            10914
            1100

            (e) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after April 30, 1989, and before May 1, 1999—(1) In general. Except as otherwise provided in § 20.2031-7(b) and § 20.7520-3(b) (pertaining to certain limitations on the use of prescribed tables), if the valuation date for the gross estate of the decedent is after April 30, 1989, and before May 1, 1999, the fair market value of annuities, life estates, terms of years, remainders, and reversionary interests is the present value of the interests determined by use of standard or special section 7520 actuarial factors and the valuation methodology described in § 20.2031-7(d). These factors are derived by using the appropriate section 7520 interest rate and, if applicable, the mortality component for the valuation date of the interest that is being valued. See §§ 20.7520-1 through 20.7520-4. See paragraph (e)(4) of this section for determination of the appropriate table for use in valuing these interests.

            (2) Transitional rule. (i) If the valuation date is after April 30, 1989, and before June 10, 1994, a taxpayer can rely on Notice 89-24 (1989-1 C.B. 660), or Notice 89-60 (1989-1 C.B. 700). See § 601.601(d)(2)(ii)(b) of this chapter.

            (ii) If a decedent dies after April 30, 1989, and if on May 1, 1989, the decedent was mentally incompetent so that the disposition of the decedent's property could not be changed, and the decedent dies without having regained competency to dispose of the decedent's property or dies within 90 days of the date on which the decedent first regains competency, the fair market value of annuities, life estates, terms for years, remainders, and reversions included in the gross estate of the decedent is their present value determined either under this section or under the corresponding section applicable at the time the decedent became mentally incompetent, at the option of the decedent's executor. For example, see paragraph (d) of this section.

            (3) Publications and actuarial computations by the Internal Revenue Service. Many standard actuarial factors not included in paragraph (e)(4) of this section or in § 20.2031-7(d)(6) are included in Internal Revenue Service Publication 1457, “Actuarial Values, Alpha Volume,” (8-89). Publication 1457 also includes examples that illustrate how to compute many special factors for more unusual situations. Publication 1457 is no longer available for purchase from the Superintendent of Documents, United States Government Printing Office, Washington, DC 20402. However, pertinent factors in this publication may be obtained from: CC:DOM:CORP:R (IRS Publication 1457), room 5226, Internal Revenue Service, POB 7604, Ben Franklin Station, Washington, DC 20044. If a special factor is required in the case of an actual decedent, the Internal Revenue Service may furnish the factor to the executor upon a request for a ruling. The request for a ruling must be accompanied by a recitation of the facts including a statement of the date of birth for each measuring life, the date of the decedent's death, any other applicable dates, and a copy of the will, trust, or other relevant documents. A request for a ruling must comply with the instructions for requesting a ruling published periodically in the Internal Revenue Bulletin (see §§ 601.201 and 601.601(d)(2)(ii)(b) of this chapter) and include payment of the required user fee.

            (4) Actuarial tables. Except as provided in § 20.7520-3(b) (pertaining to certain limitations on the use of prescribed tables), Life Table 80CNSMT and Table S (Single life remainder factors applicable where the valuation date is after April 30, 1989, and before May 1, 1999), contained in this paragraph (e)(4), and Table B, Table J, and Table K set forth in § 20.2031-7(d)(6) must be used in the application of the provisions of this section when the section 7520 interest rate component is between 4.2 and 14 percent. Table S and Table 80CNSMT are as follows:

            Cited by 4
              Table S—Based on Life Table 80CNSMT Single Life Remainder Factors[Applicable After April 30, 1989, and Before May 1, 1999]
              AgeInterest rate
              4.2%4.4%4.6%4.8%5.0%5.2%5.4%5.6%5.8%6.0%
              0.07389.06749.06188.05695.05261.04879.04541.04243.03978.03744
              1.06494.05832.05250.04738.04287.03889.03537.03226.02950.02705
              2.06678.05999.05401.04874.04410.03999.03636.03314.03028.02773
              3.06897.06200.05587.05045.04567.04143.03768.03435.03139.02875
              4.07139.06425.05796.05239.04746.04310.03922.03578.03271.02998
              5.07401.06669.06023.05451.04944.04494.04094.03738.03421.03137
              6.07677.06928.06265.05677.05156.04692.04279.03911.03583.03289
              7.07968.07201.06521.05918.05381.04903.04477.04097.03757.03453
              8.08274.07489.06792.06172.05621.05129.04689.04297.03945.03630
              9.08597.07794.07079.06443.05876.05370.04917.04511.04148.03821
              10.08936.08115.07383.06730.06147.05626.05159.04741.04365.04027
              11.09293.08453.07704.07035.06436.05900.05419.04988.04599.04250
              12.09666.08807.08040.07354.06739.06188.05693.05248.04847.04486
              13.10049.09172.08387.07684.07053.06487.05977.05518.05104.04731
              14.10437.09541.08738.08017.07370.06788.06263.05791.05364.04978
              15.10827.09912.09090.08352.07688.07090.06551.06064.05623.05225
              16.11220.10285.09445.08689.08008.07394.06839.06337.05883.05472
              17.11615.10661.09802.09028.08330.07699.07129.06612.06144.05719
              18.12017.11043.10165.09373.08656.08009.07422.06890.06408.05969
              19.12428.11434.10537.09726.08992.08327.07724.07177.06679.06226
              20.12850.11836.10919.10089.09337.08654.08035.07471.06959.06492
              21.13282.12248.11311.10462.09692.08991.08355.07775.07247.06765
              22.13728.12673.11717.10848.10059.09341.08686.08090.07546.07049
              23.14188.13113.12136.11248.10440.09703.09032.08418.07858.07345
              24.14667.13572.12575.11667.10839.10084.09395.08764.08187.07659
              25.15167.14051.13034.12106.11259.10486.09778.09130.08536.07991
              26.15690.14554.13517.12569.11703.10910.10184.09518.08907.08346
              27.16237.15081.14024.13056.12171.11359.10614.09930.09302.08724
              28.16808.15632.14555.13567.12662.11831.11068.10366.09720.09125
              29.17404.16208.15110.14104.13179.12329.11547.10827.10163.09551
              30.18025.16808.15692.14665.13721.12852.12051.11313.10631.10002
              31.18672.17436.16300.15255.14291.13403.12584.11827.11127.10480
              32.19344.18090.16935.15870.14888.13980.13142.12367.11650.10985
              33.20044.18772.17598.16514.15513.14587.13730.12936.12201.11519
              34.20770.19480.18287.17185.16165.15221.14345.13533.12780.12080
              35.21522.20215.19005.17884.16846.15883.14989.14159.13388.12670
              36.22299.20974.19747.18609.17552.16571.15660.14812.14022.13287
              37.23101.21760.20516.19360.18286.17288.16358.15492.14685.13933
              38.23928.22572.21311.20139.19048.18032.17085.16201.15377.14607
              39.24780.23409.22133.20945.19837.18804.17840.16939.16097.15310
              40.25658.24273.22982.21778.20654.19605.18624.17706.16847.16043
              41.26560.25163.23858.22639.21499.20434.19436.18502.17627.16806
              42.27486.26076.24758.23525.22370.21289.20276.19326.18434.17597
              43.28435.27013.25683.24436.23268.22172.21143.20177.19270.18416
              44.29407.27975.26633.25373.24191.23081.22038.21057.20134.19265
              45.30402.28961.27608.26337.25142.24019.22962.21966.21028.20144
              46.31420.29970.28608.27326.26120.24983.23913.22904.21951.21053
              47.32460.31004.29632.28341.27123.25975.24892.23870.22904.21991
              48.33521.32058.30679.29379.28151.26992.25897.24862.23883.22957
              49.34599.33132.31746.30438.29201.28032.26926.25879.24888.23949
              50.35695.34224.32833.31518.30273.29094.27978.26921.25918.24966
              51.36809.35335.33940.32619.31367.30180.29055.27987.26973.26010
              52.37944.36468.35070.33744.32486.31292.30158.29081.28057.27083
              53.39098.37622.36222.34892.33629.32429.31288.30203.29170.28186
              54.40269.38794.37393.36062.34795.33590.32442.31349.30308.29316
              55.41457.39985.38585.37252.35983.34774.33621.32522.31474.30473
              56.42662.41194.39796.38464.37193.35981.34824.33720.32666.31658
              57.43884.42422.41028.39697.38426.37213.36053.34945.33885.32872
              58.45123.43668.42279.40951.39682.38468.37307.36196.35132.34114
              59.46377.44931.43547.42224.40958.39745.38584.37471.36405.35383
              60.47643.46206.44830.43513.42250.41040.39880.38767.37699.36674
              61.48916.47491.46124.44814.43556.42350.41192.40080.39012.37985
              62.50196.48783.47427.46124.44874.43672.42518.41408.40340.39314
              63.51480.50081.48736.47444.46201.45006.43856.42749.41684.40658
              64.52770.51386.50054.48773.47540.46352.45208.44105.43043.42019
              65.54069.52701.51384.50115.48892.47713.46577.45480.44422.43401
              66.55378.54029.52727.51472.50262.49093.47965.46876.45824.44808
              67.56697.55368.54084.52845.51648.50491.49373.48293.47248.46238
              68.58026.56717.55453.54231.53049.51905.50800.49729.48694.47691
              69.59358.58072.56828.55624.54459.53330.52238.51179.50154.49160
              70.60689.59427.58205.57021.55874.54762.53683.52638.51624.50641
              71.62014.60778.59578.58415.57287.56193.55131.54100.53099.52126
              72.63334.62123.60948.59808.58700.57624.56579.55563.54577.53617
              73.64648.63465.62315.61198.60112.59056.58029.57030.56059.55113
              74.65961.64806.63682.62590.61527.60492.59485.58504.57550.56620
              75.67274.66149.65054.63987.62948.61936.60950.59990.59053.58140
              76.68589.67495.66429.65390.64377.63390.62427.61487.60570.59676
              77.69903.68841.67806.66796.65811.64849.63910.62993.62097.61223
              78.71209.70182.69179.68199.67242.66307.65393.64501.63628.62775
              79.72500.71507.70537.69588.68660.67754.66867.65999.65151.64321
              80.73768.72809.71872.70955.70058.69180.68320.67479.66655.65849
              81.75001.74077.73173.72288.71422.70573.69741.68926.68128.67345
              82.76195.75306.74435.73582.72746.71926.71123.70335.69562.68804
              83.77346.76491.75654.74832.74026.73236.72460.71699.70952.70219
              84.78456.77636.76831.76041.75265.74503.73756.73021.72300.71592
              85.79530.78743.77971.77212.76466.75733.75014.74306.73611.72928
              86.80560.79806.79065.78337.77621.76917.76225.75544.74875.74216
              87.81535.80813.80103.79404.78717.78041.77375.76720.76076.75442
              88.82462.81771.81090.80420.79760.79111.78472.77842.77223.76612
              89.83356.82694.82043.81401.80769.80147.79533.78929.78334.77747
              90.84225.83593.82971.82357.81753.81157.80570.79991.79420.78857
              91.85058.84455.83861.83276.82698.82129.81567.81013.80466.79927
              92.85838.85263.84696.84137.83585.83040.82503.81973.81449.80933
              93.86557.86009.85467.84932.84405.83884.83370.82862.82360.81865
              94.87212.86687.86169.85657.85152.84653.84160.83673.83192.82717
              95.87801.87298.86801.86310.85825.85345.84872.84404.83941.83484
              96.88322.87838.87360.86888.86420.85959.85502.85051.84605.84165
              97.88795.88328.87867.87411.86961.86515.86074.85639.85208.84782
              98.89220.88769.88323.87883.87447.87016.86589.86167.85750.85337
              99.89612.89176.88745.88318.87895.87478.87064.86656.86251.85850
              100.89977.89555.89136.88722.88313.87908.87506.87109.86716.86327
              101.90326.89917.89511.89110.88712.88318.87929.87543.87161.86783
              102.90690.90294.89901.89513.89128.88746.88369.87995.87624.87257
              103.91076.90694.90315.89940.89569.89200.88835.88474.88116.87760
              104.91504.91138.90775.90415.90058.89704.89354.89006.88661.88319
              105.92027.91681.91337.90996.90658.90322.89989.89659.89331.89006
              106.92763.92445.92130.91816.91506.91197.90890.90586.90284.89983
              107.93799.93523.93249.92977.92707.92438.92170.91905.91641.91378
              108.95429.95223.95018.94814.94611.94409.94208.94008.93809.93611
              109.97985.97893.97801.97710.97619.97529.97438.97348.97259.97170
              Table S—Based on Life Table 80CNSMT Single Life Remainder Factors[Applicable After April 30, 1989, and Before May 1, 1999]
              AgeInterest rate
              6.2%6.4%6.6%6.8%7.0%7.2%7.4%7.6%7.8%8.0%
              0.03535.03349.03183.03035.02902.02783.02676.02579.02492.02413
              1.02486.02292.02119.01963.01824.01699.01587.01486.01395.01312
              2.02547.02345.02164.02002.01857.01727.01609.01504.01408.01321
              3.02640.02429.02241.02073.01921.01785.01662.01552.01451.01361
              4.02753.02535.02339.02163.02005.01863.01735.01619.01514.01418
              5.02883.02656.02453.02269.02105.01956.01822.01700.01590.01490
              6.03026.02790.02578.02387.02215.02060.01919.01792.01677.01572
              7.03180.02935.02714.02515.02336.02174.02027.01894.01773.01664
              8.03347.03092.02863.02656.02469.02300.02146.02007.01881.01766
              9.03528.03263.03025.02810.02615.02438.02278.02133.02000.01880
              10.03723.03449.03201.02977.02774.02590.02423.02271.02133.02006
              11.03935.03650.03393.03160.02949.02757.02583.02424.02279.02147
              12.04160.03865.03598.03356.03136.02936.02755.02589.02438.02299
              13.04394.04088.03811.03560.03331.03123.02934.02761.02603.02458
              14.04629.04312.04025.03764.03527.03311.03113.02933.02768.02617
              15.04864.04536.04238.03968.03721.03496.03290.03103.02930.02773
              16.05099.04759.04451.04170.03913.03679.03466.03270.03090.02926
              17.05333.04982.04662.04370.04104.03861.03638.03434.03247.03075
              18.05570.05207.04875.04573.04296.04044.03812.03599.03404.03225
              19.05814.05438.05095.04781.04494.04231.03990.03769.03565.03378
              20.06065.05677.05321.04996.04698.04424.04173.03943.03731.03535
              21.06325.05922.05554.05217.04907.04623.04362.04122.03901.03697
              22.06594.06178.05797.05447.05126.04831.04559.04309.04078.03865
              23.06876.06446.06051.05688.05355.05048.04766.04505.04265.04042
              24.07174.06729.06321.05945.05599.05281.04987.04715.04465.04233
              25.07491.07031.06609.06219.05861.05530.05224.04941.04680.04438
              26.07830.07355.06918.06515.06142.05799.05481.05187.04915.04662
              27.08192.07702.07250.06832.06446.06090.05759.05454.05170.04906
              28.08577.08071.07603.07171.06772.06402.06059.05740.05445.05170
              29.08986.08464.07981.07534.07120.06736.06380.06049.05742.05456
              30.09420.08882.08383.07921.07492.07095.06725.06381.06061.05763
              31.09881.09327.08812.08335.07891.07479.07095.06738.06405.06095
              32.10369.09797.09267.08774.08315.07888.07491.07120.06774.06451
              33.10885.10297.09750.09241.08767.08325.07913.07529.07170.06834
              34.11430.10824.10261.09736.09246.08790.08363.07964.07592.07243
              35.12002.11380.10800.10259.09754.09282.08841.08428.08041.07679
              36.12602.11963.11366.10809.10288.09800.09344.08917.08516.08140
              37.13230.12574.11961.11387.10850.10347.09876.09433.09018.08628
              38.13887.13214.12584.11994.11441.10922.10436.09978.09549.09145
              39.14573.13883.13237.12630.12061.11527.11025.10553.10109.09690
              40.15290.14583.13920.13297.12712.12162.11644.11157.10698.10266
              41.16036.15312.14633.13994.13393.12827.12294.11792.11318.10871
              42.16810.16071.15375.14720.14103.13522.12973.12456.11967.11505
              43.17614.16858.16146.15475.14842.14245.13682.13149.12645.12169
              44.18447.17675.16948.16261.15613.15000.14421.13873.13355.12864
              45.19310.18524.17780.17078.16414.15787.15192.14630.14096.13591
              46.20204.19402.18644.17926.17247.16604.15995.15418.14870.14350
              47.21128.20311.19538.18806.18112.17454.16830.16238.15676.15141
              48.22080.21249.20462.19716.19007.18335.17696.17090.16513.15964
              49.23059.22214.21413.20653.19930.19244.18591.17970.17379.16816
              50.24063.23206.22391.21617.20881.20180.19514.18879.18274.17697
              51.25095.24225.23398.22610.21861.21147.20466.19818.19199.18609
              52.26157.25275.24436.23636.22874.22147.21453.20791.20159.19556
              53.27249.26357.25505.24694.23919.23180.22474.21799.21154.20537
              54.28369.27466.26604.25782.24995.24244.23526.22839.22181.21552
              55.29518.28605.27734.26900.26103.25341.24611.23912.23243.22601
              56.30695.29774.28893.28050.27242.26469.25728.25019.24338.23685
              57.31902.30973.30084.29232.28415.27632.26881.26161.25469.24805
              58.33138.32203.31306.30446.29621.28829.28069.27339.26637.25962
              59.34402.33461.32558.31691.30859.30059.29290.28550.27839.27155
              60.35690.34745.33836.32963.32124.31317.30540.29792.29073.28379
              61.36999.36050.35137.34259.33414.32601.31817.31062.30334.29633
              62.38325.37374.36458.35576.34726.33907.33117.32356.31621.30912
              63.39669.38717.37799.36913.36060.35236.34441.33674.32933.32217
              64.41031.40078.39159.38272.37415.36588.35789.35016.34270.33548
              65.42416.41464.40545.39656.38798.37968.37166.36390.35639.34912
              66.43825.42876.41958.41070.40211.39380.38576.37797.37043.36312
              67.45260.44315.43399.42513.41655.40824.40019.39238.38482.37749
              68.46720.45779.44868.43985.43129.42299.41494.40713.39956.39221
              69.48197.47263.46357.45478.44625.43798.42995.42215.41458.40722
              70.49686.48760.47861.46988.46140.45316.44516.43738.42983.42248
              71.51182.50265.49374.48508.47666.46847.46051.45276.44523.43790
              72.52685.51778.50896.50038.49203.48390.47599.46829.46079.45349
              73.54194.53298.52426.51578.50751.49946.49161.48397.47652.46926
              74.55714.54832.53972.53134.52317.51520.50744.49986.49247.48527
              75.57250.56382.55536.54710.53904.53118.52351.51601.50870.50156
              76.58803.57951.57120.56308.55515.54740.53984.53245.52522.51817
              77.60369.59535.58720.57923.57144.56383.55639.54912.54200.53504
              78.61942.61126.60329.59549.58787.58040.57310.56596.55896.55212
              79.63508.62713.61935.61174.60428.59698.58983.58283.57597.56925
              80.65059.64285.63527.62785.62058.61345.60646.59961.59290.58632
              81.66579.65827.65090.64368.63659.62965.62283.61615.60959.60316
              82.68061.67332.66616.65914.65226.64550.63886.63235.62595.61968
              83.69499.68793.68099.67418.66749.66092.65447.64813.64191.63579
              84.70896.70213.69541.68881.68233.67595.66969.66353.65748.65153
              85.72256.71596.70947.70308.69681.69063.68456.67859.67271.66693
              86.73569.72931.72305.71688.71081.70484.69896.69318.68748.68188
              87.74818.74204.73599.73003.72417.71839.71271.70711.70159.69616
              88.76011.75419.74836.74261.73695.73137.72588.72046.71512.70986
              89.77169.76599.76037.75484.74938.74400.73870.73347.72831.72323
              90.78302.77755.77215.76683.76158.75640.75129.74625.74128.73638
              91.79395.78870.78352.77842.77337.76840.76349.75864.75385.74913
              92.80423.79920.79423.78933.78449.77971.77499.77033.76572.76118
              93.81377.80894.80417.79946.79481.79022.78568.78120.77677.77239
              94.82247.81784.81325.80873.80425.79983.79547.79115.78688.78266
              95.83033.82586.82145.81709.81278.80852.80431.80014.79602.79195
              96.83729.83298.82872.82451.82034.81622.81215.80812.80414.80019
              97.84361.83944.83532.83124.82721.82322.81927.81537.81151.80769
              98.84929.84525.84126.83730.83339.82952.82569.82190.81815.81443
              99.85454.85062.84674.84290.83910.83534.83161.82792.82427.82066
              100.85942.85561.85184.84810.84440.84074.83711.83352.82997.82644
              101.86408.86037.85670.85306.84946.84589.84236.83886.83539.83196
              102.86894.86534.86177.85823.85473.85126.84782.84442.84104.83770
              103.87408.87060.86714.86371.86032.85695.85362.85031.84703.84378
              104.87980.87644.87311.86980.86653.86328.86005.85686.85369.85054
              105.88684.88363.88046.87731.87418.87108.86800.86494.86191.85890
              106.89685.89389.89095.88804.88514.88226.87940.87656.87374.87094
              107.91117.90858.90600.90344.90089.89836.89584.89334.89085.88838
              108.93414.93217.93022.92828.92634.92442.92250.92060.91870.91681
              109.97081.96992.96904.96816.96729.96642.96555.96468.96382.96296
              Table S—Based on Life Table 80CNSMT Single Life Remainder Factors[Applicable After April 30, 1989, and Before May 1, 1999]
              AgeInterest rate
              8.2%8.4%8.6%8.8%9.0%9.2%9.4%9.6%9.8%10.0%
              0.02341.02276.02217.02163.02114.02069.02027.01989.01954.01922
              1.01237.01170.01108.01052.01000.00953.00910.00871.00834.00801
              2.01243.01172.01107.01048.00994.00944.00899.00857.00819.00784
              3.01278.01203.01135.01073.01016.00964.00916.00872.00832.00795
              4.01332.01253.01182.01116.01056.01001.00951.00904.00862.00822
              5.01400.01317.01241.01172.01109.01051.00998.00949.00904.00862
              6.01477.01390.01310.01238.01171.01110.01054.01002.00954.00910
              7.01563.01472.01389.01312.01242.01178.01118.01064.01013.00966
              8.01660.01564.01477.01396.01322.01254.01192.01134.01081.01031
              9.01770.01669.01577.01492.01414.01342.01276.01216.01159.01107
              10.01891.01785.01688.01599.01517.01442.01372.01308.01249.01194
              11.02026.01915.01814.01720.01634.01555.01481.01414.01351.01293
              12.02173.02056.01950.01852.01761.01678.01601.01529.01463.01402
              13.02326.02204.02092.01989.01895.01807.01726.01651.01582.01517
              14.02478.02351.02234.02126.02027.01935.01850.01771.01698.01630
              15.02628.02495.02372.02259.02155.02058.01969.01886.01810.01738
              16.02774.02635.02507.02388.02279.02178.02084.01997.01917.01842
              17.02917.02772.02637.02513.02399.02293.02194.02103.02018.01940
              18.03059.02907.02767.02637.02517.02406.02302.02207.02118.02035
              19.03205.03046.02899.02763.02637.02521.02412.02312.02218.02131
              20.03355.03188.03035.02892.02760.02638.02524.02419.02320.02229
              21.03509.03334.03173.03024.02886.02758.02638.02527.02424.02328
              22.03669.03487.03318.03162.03017.02882.02757.02640.02532.02430
              23.03837.03646.03470.03306.03154.03013.02881.02759.02644.02538
              24.04018.03819.03634.03463.03303.03155.03016.02888.02767.02655
              25.04214.04006.03812.03633.03465.03309.03164.03029.02902.02784
              26.04428.04210.04008.03820.03644.03481.03328.03186.03052.02928
              27.04662.04434.04223.04025.03841.03670.03509.03360.03219.03088
              28.04915.04677.04456.04249.04056.03876.03708.03550.03403.03264
              29.05189.04941.04709.04493.04291.04102.03925.03760.03604.03458
              30.05485.05226.04984.04757.04546.04348.04162.03988.03825.03671
              31.05805.05535.05282.05045.04824.04616.04421.04238.04067.03905
              32.06149.05867.05603.05356.05124.04906.04702.04510.04329.04160
              33.06520.06226.05950.05692.05449.05221.05007.04806.04616.04438
              34.06916.06609.06322.06052.05799.05560.05336.05125.04926.04738
              35.07339.07020.06720.06439.06174.05925.05690.05469.05260.05063
              36.07787.07455.07143.06850.06573.06313.06068.05836.05617.05411
              37.08262.07917.07593.07287.06999.06727.06470.06228.05999.05783
              38.08765.08407.08069.07751.07451.07167.06899.06646.06407.06180
              39.09296.08925.08574.08243.07931.07635.07356.07092.06841.06604
              40.09858.09472.09109.08765.08440.08132.07841.07565.07303.07055
              41.10449.10050.09673.09316.08978.08658.08355.08067.07794.07535
              42.11069.10656.10265.09895.09544.09212.08896.08596.08312.08041
              43.11718.11291.10887.10503.10140.09794.09466.09154.08858.08576
              44.12399.11958.11540.11143.10766.10407.10067.09743.09434.09141
              45.13111.12656.12224.11814.11423.11052.10699.10362.10042.09736
              46.13856.13387.12941.12516.12113.11728.11362.11013.10680.10363
              47.14633.14150.13690.13252.12835.12438.12059.11697.11352.11022
              48.15442.14945.14471.14020.13589.13179.12787.12412.12055.11713
              49.16280.15769.15281.14816.14373.13949.13544.13157.12787.12433
              50.17147.16622.16121.15643.15186.14749.14331.13931.13548.13182
              51.18045.17507.16993.16501.16030.15580.15150.14737.14342.13963
              52.18979.18427.17899.17394.16911.16448.16004.15579.15172.14780
              53.19947.19383.18842.18324.17828.17352.16896.16458.16038.15635
              54.20950.20372.19819.19288.18779.18291.17822.17372.16940.16524
              55.21986.21397.20831.20288.19767.19266.18785.18322.17878.17450
              56.23058.22457.21879.21324.20791.20278.19785.19310.18854.18414
              57.24167.23554.22965.22399.21854.21329.20824.20338.19870.19419
              58.25314.24690.24090.23512.22956.22420.21904.21407.20927.20464
              59.26497.25863.25252.24664.24097.23550.23023.22515.22024.21551
              60.27712.27068.26448.25849.25272.24716.24178.23659.23158.22674
              61.28956.28304.27674.27067.26480.25913.25366.24837.24325.23831
              62.30228.29567.28929.28312.27717.27141.26584.26045.25524.25020
              63.31525.30857.30211.29586.28982.28397.27832.27284.26754.26240
              64.32851.32176.31522.30890.30278.29685.29111.28555.28016.27493
              65.34209.33528.32868.32229.31610.31010.30429.29865.29317.28787
              66.35604.34918.34253.33609.32983.32377.31788.31217.30663.30124
              67.37037.36347.35678.35028.34398.33786.33191.32614.32053.31508
              68.38508.37815.37142.36489.35854.35237.34638.34055.33488.32937
              69.40008.39313.38638.37982.37344.36724.36120.35533.34961.34405
              70.41533.40838.40162.39504.38864.38241.37634.37043.36468.35907
              71.43076.42382.41705.41047.40405.39780.39171.38578.38000.37436
              72.44638.43945.43269.42611.41969.41344.40733.40138.39558.38991
              73.46218.45527.44854.44197.43556.42931.42321.41725.41143.40575
              74.47823.47137.46466.45812.45173.44549.43940.43345.42763.42195
              75.49459.48777.48112.47462.46826.46205.45598.45004.44424.43856
              76.51127.50452.49793.49148.48517.47900.47297.46706.46129.45563
              77.52823.52157.51505.50867.50243.49632.49033.48447.47873.47311
              78.54541.53885.53242.52613.51996.51392.50800.50220.49652.49094
              79.56267.55621.54989.54369.53762.53166.52582.52009.51448.50897
              80.57987.57354.56733.56125.55527.54941.54366.53802.53248.52705
              81.59685.59065.58457.57860.57274.56699.56134.55579.55035.54499
              82.61351.60746.60151.59567.58993.58429.57875.57331.56796.56270
              83.62978.62387.61806.61236.60675.60123.59581.59047.58523.58007
              84.64567.63992.63426.62869.62321.61783.61253.60731.60218.59713
              85.66125.65565.65014.64472.63938.63413.62896.62387.61886.61392
              86.67636.67092.66557.66030.65511.65000.64496.64000.63511.63030
              87.69081.68554.68034.67522.67018.66520.66031.65548.65071.64602
              88.70468.69957.69453.68956.68466.67983.67507.67037.66574.66117
              89.71821.71326.70838.70357.69882.69414.68952.68495.68045.67601
              90.73153.72676.72204.71739.71280.70827.70379.69938.69502.69071
              91.74447.73986.73532.73083.72640.72202.71770.71343.70921.70504
              92.75669.75225.74787.74354.73927.73504.73087.72674.72267.71864
              93.76807.76379.75957.75540.75127.74719.74317.73918.73524.73135
              94.77849.77437.77030.76627.76229.75835.75446.75061.74680.74303
              95.78792.78394.78001.77611.77226.76845.76468.76096.75727.75362
              96.79630.79244.78863.78485.78112.77742.77377.77015.76657.76303
              97.80391.80016.79646.79280.78917.78559.78203.77852.77504.77160
              98.81076.80712.80352.79996.79643.79294.78948.78606.78267.77931
              99.81709.81354.81004.80657.80313.79972.79635.79302.78971.78644
              100.82296.81950.81609.81270.80934.80602.80273.79947.79624.79304
              101.82855.82518.82185.81854.81526.81201.80880.80561.80245.79932
              102.83438.83110.82785.82462.82142.81826.81512.81200.80892.80586
              103.84056.83737.83420.83106.82795.82487.82181.81878.81577.81279
              104.84743.84433.84127.83822.83521.83221.82924.82630.82338.82048
              105.85591.85295.85001.84709.84419.84132.83846.83563.83282.83003
              106.86816.86540.86266.85993.85723.85454.85187.84922.84659.84397
              107.88592.88348.88105.87863.87623.87384.87147.86911.86676.86443
              108.91493.91306.91119.90934.90749.90566.90383.90201.90020.89840
              109.96211.96125.96041.95956.95872.95788.95704.95620.95537.95455
              Table S—Based on Life Table 80CNSMT Single Life Remainder Factors[Applicable After April 30, 1989, and Before May 1, 1999]
              AgeInterest rate
              10.2%10.4%10.6%10.8%11.0%11.2%11.4%11.6%11.8%12.0%
              0.01891.01864.01838.01814.01791.01770.01750.01732.01715.01698
              1.00770.00741.00715.00690.00667.00646.00626.00608.00590.00574
              2.00751.00721.00693.00667.00643.00620.00600.00580.00562.00544
              3.00760.00728.00699.00671.00646.00622.00600.00579.00560.00541
              4.00786.00752.00721.00692.00665.00639.00616.00594.00573.00554
              5.00824.00788.00755.00724.00695.00668.00643.00620.00598.00578
              6.00869.00832.00796.00764.00733.00705.00678.00654.00630.00608
              7.00923.00883.00846.00811.00779.00749.00720.00694.00669.00646
              8.00986.00943.00904.00867.00833.00801.00771.00743.00716.00692
              9.01059.01014.00972.00933.00897.00863.00831.00801.00773.00747
              10.01142.01095.01051.01009.00971.00935.00901.00869.00840.00812
              11.01239.01189.01142.01098.01057.01019.00983.00950.00918.00889
              12.01345.01292.01243.01197.01154.01113.01075.01040.01007.00975
              13.01457.01401.01349.01300.01255.01212.01172.01135.01100.01067
              14.01567.01508.01453.01402.01354.01309.01267.01227.01190.01155
              15.01672.01610.01552.01498.01448.01400.01356.01314.01275.01238
              16.01772.01707.01646.01589.01536.01486.01439.01396.01354.01315
              17.01866.01798.01734.01674.01618.01566.01516.01470.01427.01386
              18.01958.01886.01818.01755.01697.01641.01590.01541.01495.01452
              19.02050.01974.01903.01837.01775.01717.01662.01611.01563.01517
              20.02143.02064.01989.01919.01854.01793.01735.01681.01630.01582
              21.02238.02154.02075.02002.01933.01868.01807.01750.01696.01646
              22.02336.02247.02164.02087.02014.01946.01882.01821.01764.01711
              23.02438.02345.02257.02176.02099.02027.01959.01895.01835.01778
              24.02550.02451.02359.02273.02192.02115.02044.01976.01913.01853
              25.02673.02569.02472.02381.02295.02214.02138.02067.01999.01936
              26.02811.02701.02598.02502.02411.02326.02246.02170.02098.02031
              27.02965.02849.02741.02639.02543.02452.02367.02287.02211.02140
              28.03134.03013.02898.02790.02689.02593.02503.02418.02338.02262
              29.03322.03193.03072.02958.02851.02750.02654.02564.02479.02398
              30.03527.03391.03264.03143.03030.02923.02821.02726.02635.02550
              31.03753.03610.03475.03348.03228.03115.03008.02907.02811.02720
              32.04000.03849.03707.03573.03446.03326.03213.03105.03004.02907
              33.04269.04111.03961.03819.03685.03558.03438.03325.03217.03115
              34.04561.04394.04236.04087.03946.03812.03685.03565.03451.03342
              35.04877.04702.04535.04378.04229.04087.03953.03826.03706.03591
              36.05215.05031.04856.04690.04533.04384.04242.04108.03980.03859
              37.05578.05384.05200.05025.04860.04703.04553.04411.04276.04148
              38.05965.05761.05568.05385.05211.05045.04888.04738.04595.04460
              39.06379.06165.05962.05770.05587.05412.05247.05089.04939.04795
              40.06820.06596.06383.06181.05989.05806.05631.05465.05307.05155
              41.07288.07054.06832.06620.06418.06226.06042.05868.05701.05541
              42.07784.07539.07306.07085.06873.06671.06479.06295.06119.05952
              43.08308.08052.07808.07576.07355.07143.06941.06748.06564.06387
              44.08861.08594.08340.08097.07865.07644.07432.07230.07036.06851
              45.09445.09167.08901.08648.08406.08174.07953.07741.07538.07343
              46.10060.09770.09494.09230.08977.08735.08503.08281.08068.07865
              47.10707.10406.10119.09843.09579.09327.09085.08853.08630.08417
              48.11386.11073.10774.10487.10213.09949.09697.09455.09222.08999
              49.12094.11769.11458.11160.10874.10600.10337.10084.09842.09609
              50.12831.12494.12172.11862.11565.11280.11006.10743.10490.10247
              51.13600.13251.12917.12596.12288.11991.11706.11432.11169.10915
              52.14405.14044.13698.13366.13046.12738.12442.12157.11883.11619
              53.15247.14875.14517.14172.13841.13522.13215.12919.12635.12360
              54.16124.15740.15370.15014.14671.14341.14023.13717.13421.13136
              55.17039.16642.16261.15893.15539.15198.14868.14551.14244.13948
              56.17991.17583.17190.16811.16445.16092.15752.15423.15106.14799
              57.18984.18564.18160.17769.17392.17029.16677.16338.16010.15692
              58.20018.19587.19172.18770.18382.18007.17645.17295.16956.16628
              59.21093.20652.20225.19812.19414.19028.18655.18294.17945.17606
              60.22206.21753.21316.20893.20483.20087.19703.19332.18972.18624
              61.23353.22890.22442.22009.21589.21182.20788.20407.20037.19678
              62.24532.24059.23601.23158.22728.22311.21907.21515.21135.20767
              63.25742.25260.24793.24339.23900.23473.23060.22658.22268.21890
              64.26987.26495.26019.25556.25107.24671.24248.23837.23438.23050
              65.28271.27771.27286.26815.26357.25912.25480.25059.24651.24254
              66.29601.29093.28600.28120.27654.27200.26760.26331.25913.25507
              67.30978.30462.29961.29474.29000.28539.28090.27653.27227.26813
              68.32401.31879.31371.30877.30396.29927.29471.29027.28593.28171
              69.33863.33336.32822.32322.31835.31359.30896.30445.30005.29576
              70.35361.34829.34310.33804.33311.32830.32361.31903.31457.31021
              71.36886.36349.35826.35316.34818.34332.33858.33394.32942.32500
              72.38439.37899.37373.36858.36356.35866.35387.34919.34461.34015
              73.40021.39479.38950.38432.37927.37433.36950.36478.36016.35565
              74.41639.41096.40565.40046.39538.39042.38556.38081.37616.37161
              75.43301.42758.42226.41706.41198.40699.40212.39734.39267.38809
              76.45009.44467.43937.43417.42908.42410.41921.41443.40974.40514
              77.46761.46221.45693.45175.44667.44170.43682.43203.42734.42274
              78.48548.48013.47488.46973.46468.45972.45486.45009.44541.44082
              79.50356.49826.49306.48795.48294.47802.47319.46845.46379.45922
              80.52171.51647.51133.50628.50132.49644.49166.48695.48233.47779
              81.53974.53457.52950.52451.51961.51479.51006.50541.50083.49633
              82.55753.55245.54745.54254.53771.53296.52828.52369.51917.51472
              83.57500.57001.56510.56026.55551.55083.54623.54170.53724.53285
              84.59216.58726.58245.57770.57304.56844.56391.55945.55506.55074
              85.60906.60428.59956.59492.59034.58583.58139.57702.57270.56845
              86.62555.62088.61627.61173.60725.60284.59849.59420.58997.58580
              87.64139.63683.63233.62790.62352.61921.61495.61076.60661.60253
              88.65666.65221.64783.64350.63923.63502.63086.62675.62270.61871
              89.67163.66730.66304.65882.65466.65055.64650.64249.63854.63463
              90.68646.68226.67812.67402.66998.66599.66204.65814.65430.65049
              91.70093.69686.69285.68888.68496.68108.67725.67347.66973.66604
              92.71466.71073.70684.70300.69920.69545.69173.68806.68444.68085
              93.72750.72370.71994.71622.71254.70890.70530.70174.69822.69474
              94.73931.73562.73198.72838.72481.72129.71780.71434.71093.70755
              95.75001.74644.74291.73941.73595.73253.72914.72579.72247.71919
              96.75953.75606.75262.74923.74586.74253.73924.73598.73275.72955
              97.76819.76481.76147.75816.75489.75165.74844.74526.74211.73899
              98.77599.77270.76944.76621.76302.75986.75672.75362.75054.74750
              99.78319.77998.77680.77365.77053.76744.76437.76134.75833.75535
              100.78987.78673.78362.78054.77748.77446.77146.76849.76555.76263
              101.79622.79315.79010.78708.78409.78113.77819.77528.77239.76953
              102.80283.79983.79685.79390.79097.78807.78519.78234.77951.77671
              103.80983.80690.80399.80111.79825.79541.79260.78981.78705.78430
              104.81760.81475.81192.80912.80633.80357.80083.79810.79541.79273
              105.82726.82451.82178.81907.81638.81371.81106.80843.80582.80322
              106.84137.83879.83623.83368.83115.82863.82614.82366.82119.81874
              107.86211.85981.85751.85523.85297.85071.84847.84624.84403.84182
              108.89660.89481.89304.89127.88950.88775.88601.88427.88254.88081
              109.95372.95290.95208.95126.95045.94964.94883.94803.94723.94643
              Table S—Based on Life Table 80CNSMT Single Life Remainder Factors[Applicable After April 30, 1989, and Before May 1, 1999]
              AgeInterest rate
              12.2%12.4%12.6%12.8%13.0%13.2%13.4%13.6%13.8%14.0%
              0.01683.01669.01655.01642.01630.01618.01607.01596.01586.01576
              1.00559.00544.00531.00518.00506.00494.00484.00473.00464.00454
              2.00528.00513.00499.00485.00473.00461.00449.00439.00428.00419
              3.00524.00508.00493.00479.00465.00453.00441.00429.00419.00408
              4.00536.00519.00503.00488.00473.00460.00447.00435.00423.00412
              5.00558.00540.00523.00507.00492.00477.00464.00451.00439.00427
              6.00588.00569.00550.00533.00517.00502.00487.00473.00460.00448
              7.00624.00604.00584.00566.00549.00532.00517.00502.00488.00475
              8.00668.00646.00626.00606.00588.00570.00554.00538.00523.00509
              9.00722.00699.00677.00656.00636.00617.00600.00583.00567.00552
              10.00785.00761.00737.00715.00694.00674.00655.00637.00620.00604
              11.00861.00835.00810.00786.00764.00743.00723.00704.00686.00668
              12.00946.00918.00891.00866.00843.00820.00799.00779.00760.00741
              13.01035.01006.00978.00951.00927.00903.00880.00859.00839.00819
              14.01122.01091.01061.01034.01007.00982.00958.00936.00914.00894
              15.01203.01171.01140.01110.01082.01056.01031.01007.00985.00963
              16.01279.01244.01211.01181.01151.01123.01097.01072.01048.01025
              17.01347.01311.01276.01244.01213.01184.01156.01130.01104.01081
              18.01411.01373.01336.01302.01270.01239.01210.01182.01155.01130
              19.01474.01434.01396.01359.01325.01293.01262.01233.01205.01178
              20.01537.01494.01454.01415.01379.01345.01313.01282.01252.01224
              21.01598.01553.01510.01470.01432.01396.01361.01329.01298.01268
              22.01660.01613.01568.01525.01485.01446.01410.01375.01343.01312
              23.01725.01674.01627.01581.01539.01498.01460.01423.01388.01355
              24.01796.01742.01692.01644.01599.01556.01515.01476.01439.01404
              25.01876.01819.01765.01714.01666.01621.01577.01536.01497.01460
              26.01967.01907.01850.01796.01745.01696.01650.01606.01565.01525
              27.02072.02008.01948.01890.01836.01784.01735.01688.01644.01601
              28.02190.02122.02057.01996.01938.01883.01831.01781.01734.01689
              29.02322.02249.02181.02116.02054.01996.01940.01887.01836.01788
              30.02469.02392.02319.02250.02184.02122.02062.02006.01952.01900
              31.02634.02552.02475.02401.02331.02264.02201.02140.02083.02028
              32.02816.02729.02647.02568.02494.02423.02355.02291.02229.02170
              33.03018.02926.02838.02755.02675.02600.02528.02459.02393.02331
              34.03239.03142.03048.02960.02875.02795.02718.02645.02575.02508
              35.03482.03378.03279.03185.03095.03009.02928.02850.02775.02704
              36.03743.03633.03528.03428.03333.03242.03155.03072.02992.02916
              37.04026.03909.03798.03692.03591.03494.03401.03313.03228.03147
              38.04330.04207.04089.03977.03869.03767.03668.03574.03484.03398
              39.04658.04528.04403.04284.04170.04061.03957.03857.03762.03670
              40.05011.04873.04741.04615.04495.04379.04269.04163.04061.03964
              41.05389.05244.05104.04971.04844.04721.04604.04492.04384.04281
              42.05791.05638.05491.05350.05216.05086.04962.04844.04729.04620
              43.06219.06057.05902.05754.05612.05475.05344.05218.05098.04981
              44.06673.06503.06340.06184.06034.05890.05752.05619.05491.05368
              45.07157.06978.06806.06642.06484.06332.06186.06046.05911.05781
              46.07669.07481.07301.07128.06962.06802.06649.06501.06358.06221
              47.08212.08015.07826.07645.07470.07302.07140.06984.06834.06690
              48.08784.08578.08380.08190.08006.07830.07660.07496.07338.07186
              49.09384.09169.08961.08762.08570.08384.08206.08034.07868.07708
              50.10013.09787.09570.09361.09160.08966.08779.08598.08424.08256
              51.10671.10436.10209.09991.09780.09577.09381.09192.09009.08832
              52.11365.11120.10883.10655.10435.10222.10017.09819.09628.09442
              53.12095.11840.11593.11355.11126.10904.10689.10482.10282.10088
              54.12860.12595.12338.12090.11851.11619.11396.11179.10970.10767
              55.13663.13386.13120.12862.12613.12372.12138.11912.11694.11482
              56.14503.14217.13940.13672.13413.13162.12919.12683.12456.12235
              57.15385.15089.14801.14523.14254.13994.13741.13496.13259.13029
              58.16311.16004.15706.15418.15139.14868.14606.14352.14105.13866
              59.17279.16961.16654.16355.16066.15786.15514.15250.14994.14745
              60.18286.17958.17640.17332.17033.16743.16462.16188.15922.15664
              61.19330.18992.18665.18347.18038.17738.17447.17164.16889.16622
              62.20409.20061.19724.19396.19078.18768.18467.18175.17891.17614
              63.21522.21165.20818.20480.20152.19833.19523.19221.18928.18642
              64.22672.22306.21949.21602.21265.20937.20617.20306.20003.19708
              65.23867.23491.23125.22769.22423.22085.21757.21437.21125.20821
              66.25112.24727.24353.23988.23632.23286.22948.22619.22299.21986
              67.26409.26016.25633.25260.24896.24541.24195.23857.23528.23206
              68.27760.27359.26968.26586.26214.25851.25497.25151.24814.24484
              69.29157.28748.28350.27961.27581.27211.26849.26495.26150.25812
              70.30596.30181.29775.29379.28992.28614.28245.27884.27532.27187
              71.32069.31648.31236.30833.30440.30055.29679.29312.28952.28600
              72.33578.33151.32733.32325.31925.31535.31152.30778.30412.30054
              73.35123.34691.34269.33855.33450.33054.32666.32286.31914.31550
              74.36715.36279.35852.35434.35024.34623.34230.33845.33468.33098
              75.38360.37921.37491.37069.36656.36250.35853.35464.35082.34708
              76.40064.39623.39190.38765.38349.37941.37540.37148.36762.36384
              77.41823.41381.40947.40521.40103.39692.39290.38895.38507.38126
              78.43632.43189.42755.42329.41910.41499.41095.40698.40309.39926
              79.45473.45032.44599.44173.43755.43344.42940.42543.42153.41770
              80.47333.46894.46463.46040.45623.45213.44811.44414.44025.43642
              81.49191.48755.48328.47907.47493.47085.46684.46290.45902.45520
              82.51034.50603.50179.49762.49351.48947.48549.48157.47772.47392
              83.52852.52427.52008.51595.51189.50788.50394.50006.49623.49246
              84.54648.54228.53815.53407.53006.52610.52221.51836.51458.51084
              85.56426.56013.55606.55205.54810.54420.54035.53656.53282.52913
              86.58169.57764.57364.56970.56581.56197.55818.55445.55076.54713
              87.59850.59452.59060.58673.58291.57913.57541.57174.56811.56453
              88.61476.61086.60702.60322.59947.59577.59212.58851.58494.58142
              89.63078.62697.62321.61950.61583.61220.60862.60508.60159.59813
              90.64674.64302.63935.63573.63215.62861.62511.62165.61823.61485
              91.66238.65877.65520.65167.64819.64474.64133.63795.63462.63132
              92.67730.67379.67032.66689.66350.66014.65682.65354.65029.64708
              93.69130.68789.68452.68119.67789.67463.67140.66820.66504.66191
              94.70421.70090.69762.69438.69118.68800.68486.68175.67867.67563
              95.71594.71272.70954.70639.70326.70017.69712.69409.69109.68812
              96.72638.72325.72014.71707.71403.71101.70803.70507.70215.69925
              97.73590.73285.72982.72682.72385.72090.71799.71510.71224.70941
              98.74448.74149.73853.73560.73269.72981.72696.72414.72134.71856
              99.75240.74948.74658.74371.74086.73805.73525.73248.72974.72702
              100.75974.75687.75403.75121.74842.74566.74292.74020.73751.73484
              101.76669.76388.76109.75833.75559.75287.75018.74751.74486.74223
              102.77393.77117.76844.76573.76304.76037.75773.75511.75251.74993
              103.78158.77888.77620.77355.77091.76830.76571.76313.76058.75805
              104.79007.78743.78482.78222.77964.77709.77455.77203.76953.76705
              105.80065.79809.79556.79304.79054.78805.78559.78314.78071.77829
              106.81631.81389.81149.80911.80674.80438.80204.79972.79741.79511
              107.83963.83745.83529.83313.83099.82886.82674.82463.82254.82045
              108.87910.87739.87569.87400.87232.87064.86897.86731.86566.86401
              109.94563.94484.94405.94326.94248.94170.94092.94014.93937.93860
              Table 80CNSMT—Applicable After April 30, 1989, and Before May 1, 1999
              Age ×1( × )Age ×1( × )Age ×1( × )
              (1)(2)(1)(2)(1)(2)
              010000037954927459279
              19874038953177556799
              29864839951297654239
              39858440949267751599
              49853541947067848878
              59849542944657946071
              69845943942018043180
              79842644939138140208
              89839645935998237172
              99837046932568334095
              109834747928828431012
              119832848924728527960
              129830949920218624961
              139828550915268722038
              149824851909868819235
              159819652904028916598
              169812953897719014154
              179804754890879111908
              18979535588348929863
              19978515687551938032
              20977415786695946424
              21976235885776955043
              22974995984789963884
              23973706083726972939
              24972406182581982185
              25971106281348991598
              269698263800241001150
              27968566478609101815
              28967306577107102570
              29966046675520103393
              30964776773846104267
              31963506872082105179
              32962206970218106119
              3396088706824810778
              3495951716616510851
              3595808726397210933
              369565573616731100

              (f) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after April 30,1999, and before May 1, 2009—(1) In general. Except as otherwise provided in § 20.2031-7(b) and § 20.7520-3(b) (pertaining to certain limitations on the use of prescribed tables), if the valuation date for the gross estate of the decedent is after April 30, 1999, and before May 1, 2009, the fair market value of annuities, life estates, terms of years, remainders, and reversionary interests is the present value of the interests determined by use of standard or special section 7520 actuarial factors and the valuation methodology described in § 20.2031-7(d). These factors are derived by using the appropriate section 7520 interest rate and, if applicable, the mortality component for the valuation date of the interest that is being valued. See §§ 20.7520-1 through 20.7520-4. See paragraph (f)(4) of this section for determination of the appropriate table for use in valuing these interests.

              (2) Transitional rule. (i) If a decedent dies after April 30, 1999, and if on May 1, 1999, the decedent was mentally incompetent so that the disposition of the decedent's property could not be changed, and the decedent dies without having regained competency to dispose of the decedent's property or dies within 90 days of the date on which the decedent first regains competency, the fair market value of annuities, life estates, terms for years, remainders, and reversions included in the gross estate of the decedent is their present value determined either under this section or under the corresponding section applicable at the time the decedent became mentally incompetent, at the option of the decedent's executor. For example, see paragraph (d) of this section.

              Cited by 1

                (ii) If a decedent dies after April 30, 1999, and before July 1, 1999, the fair market value of annuities, life estates, remainders, and reversions based on one or more measuring lives included in the gross estate of the decedent is their present value determined under this section by use of the section 7520 interest rate for the month in which the valuation date occurs (see §§ 20.7520-1(b) and 20.7520-2(a)(2)) and the appropriate actuarial tables under either paragraph (e)(4) or paragraph (f)(4) of this section, at the option of the decedent's executor.

                Cited by 1

                  (iii) For purposes of paragraphs (f)(2)(i) and (f)(2)(ii) of this section, where the decedent's executor is given the option to use the appropriate actuarial tables under either paragraph (e)(4) or paragraph (f)(4) of this section, the decedent's executor must use the same actuarial table with respect to each individual transaction and with respect to all transfers occurring on the valuation date (for example, gift and income tax charitable deductions with respect to the same transfer must be determined based on the same tables, and all assets includible in the gross estate and/or estate tax deductions claimed must be valued based on the same tables).

                  (3) Publications and actuarial computations by the Internal Revenue Service. Many standard actuarial factors not included in paragraph (f)(4) of this section or in § 20.2031-7(d)(6) are included in Internal Revenue Service Publication 1457, “Actuarial Values, Book Aleph,” (7-99). Publication 1457 also includes examples that illustrate how to compute many special factors for more unusual situations. Publication 1457 is no longer available for purchase from the Superintendent of Documents, United States Government Printing Office. However, pertinent factors in this publication may be obtained from: CC:PA:LPD:PR (IRS Publication 1457), Room 5205, Internal Revenue Service, P.O. Box 7604, Ben Franklin Station, Washington, DC 20044. If a special factor is required in the case of an actual decedent, the Internal Revenue Service may furnish the factor to the executor upon a request for a ruling. The request for a ruling must be accompanied by a recitation of the facts including a statement of the date of birth for each measuring life, the date of the decedent's death, any other applicable dates, and a copy of the will, trust, or other relevant documents. A request for a ruling must comply with the instructions for requesting a ruling published periodically in the Internal Revenue Bulletin (see §§ 601.201 and 601.601(d)(2)(ii)(b)) and include payment of the required user fee.

                  (4) Actuarial tables. Except as provided in § 20.7520-3(b) (pertaining to certain limitations on the use of prescribed tables), Life Table 90CM and Table S (Single life remainder factors applicable where the valuation date is after April 30, 1999, and before May 1, 2009), contained in this paragraph (f)(4), and Table B, Table J, and Table K set forth in § 20.2031-7(d)(6) must be used in the application of the provisions of this section when the section 7520 interest rate component is between 4.2 and 14 percent. Table S and Table 90CM are as follows:

                  Cited by 6

                    (4) Actuarial Table S and Table 90CM where the valuation date is after April 30, 1999. Except as provided in § 20.7520-2(b) (pertaining to certain limitations on the use of prescribed tables), for determination of the present value of an interest that is dependent on the termination of a life interest, Table 90CM and Table S, single life remainder factors applicable where the valuation date is after April 30, 1999, contained in this paragraph (d)(7) (or Table S and Table 80CNSMT contained in § 20.2031-7A(e)(4) for valuation dates after April 30, 1989, and before May 1, 1999) and Table J and Table K contained in paragraph (d)(6) of this section, must be used in the application of the provisions of this section when the section 7520 interest rate component is between 4.2 and 14 percent.

                    Table S—Based on Life on Life Table 90CM Single Life Remainder Factors, Applicable After April 30, 1999, and Before May 1, 2009[Interest rate]
                    Age4.2%4.4%4.6%4.8%5.0%5.2%5.4%5.6%5.8%6.0%
                    0.06752.06130.05586.05109.04691.04322.03998.03711.03458.03233
                    1.06137.05495.04932.04438.04003.03620.03283.02985.02721.02487
                    2.06325.05667.05088.04580.04132.03737.03388.03079.02806.02563
                    3.06545.05869.05275.04752.04291.03883.03523.03203.02920.02668
                    4.06784.06092.05482.04944.04469.04048.03676.03346.03052.02791
                    5.07040.06331.05705.05152.04662.04229.03845.03503.03199.02928
                    6.07310.06583.05941.05372.04869.04422.04025.03672.03357.03076
                    7.07594.06849.06191.05607.05089.04628.04219.03854.03528.03236
                    8.07891.07129.06453.05853.05321.04846.04424.04046.03709.03407
                    9.08203.07423.06731.06115.05567.05079.04643.04253.03904.03592
                    10.08532.07734.07024.06392.05829.05326.04877.04474.04114.03790
                    11.08875.08059.07331.06683.06104.05587.05124.04709.04336.04002
                    12.09233.08398.07653.06989.06394.05862.05385.04957.04572.04226
                    13.09601.08748.07985.07304.06693.06146.05655.05214.04816.04458
                    14.09974.09102.08322.07624.06997.06435.05929.05474.05064.04694
                    15.10350.09460.08661.07946.07303.06725.06204.05735.05312.04930
                    16.10728.09818.09001.08268.07608.07014.06479.05996.05559.05164
                    17.11108.10179.09344.08592.07916.07306.06755.06257.05807.05399
                    18.11494.10545.09691.08921.08227.07601.07034.06521.06057.05636
                    19.11889.10921.10047.09259.08548.07904.07322.06794.06315.05880
                    20.12298.11310.10417.09610.08881.08220.07622.07078.06584.06135
                    21.12722.11713.10801.09976.09228.08550.07935.07375.06866.06403
                    22.13159.12130.11199.10354.09588.08893.08260.07685.07160.06682
                    23.13613.12563.11612.10748.09964.09250.08601.08009.07468.06975
                    24.14084.13014.12043.11160.10357.09625.08958.08349.07793.07284
                    25.14574.13484.12493.11591.10768.10018.09334.08708.08135.07611
                    26.15084.13974.12963.12041.11199.10431.09728.09085.08496.07956
                    27.15615.14485.13454.12513.11652.10865.10144.09484.08878.08322
                    28.16166.15016.13965.13004.12124.11319.10580.09901.09279.08706
                    29.16737.15567.14497.13516.12617.11792.11035.10339.09699.09109
                    30.17328.16138.15048.14047.13129.12286.11510.10796.10138.09532
                    31.17938.16728.15618.14599.13661.12799.12004.11272.10597.09974
                    32.18568.17339.16210.15171.14214.13333.12520.11769.11076.10435
                    33.19220.17972.16824.15766.14790.13889.13058.12289.11578.10920
                    34.19894.18627.17460.16383.15388.14468.13618.12831.12102.11426
                    35.20592.19307.18121.17025.16011.15073.14204.13399.12652.11958
                    36.21312.20010.18805.17691.16658.15701.14814.13990.13225.12514
                    37.22057.20737.19514.18382.17331.16356.15450.14608.13825.13096
                    38.22827.21490.20251.19100.18031.17038.16113.15253.14452.13705
                    39.23623.22270.21013.19845.18759.17747.16805.15927.15108.14344
                    40.24446.23078.21805.20620.19516.18487.17527.16631.15795.15013
                    41.25298.23915.22626.21425.20305.19259.18282.17368.16514.15715
                    42.26178.24782.23478.22262.21125.20062.19069.18138.17267.16450
                    43.27087.25678.24360.23129.21977.20898.19888.18941.18053.17220
                    44.28025.26603.25273.24027.22860.21766.20740.19777.18873.18023
                    45.28987.27555.26212.24953.23772.22664.21622.20644.19724.18858
                    46.29976.28533.27179.25908.24714.23591.22536.21542.20606.19725
                    47.30987.29535.28171.26889.25682.24546.23476.22468.21518.20621
                    48.32023.30563.29190.27897.26678.25530.24447.23425.22460.21549
                    49.33082.31615.30234.28931.27702.26543.25447.24412.23434.22509
                    50.34166.32694.31306.29995.28756.27586.26479.25432.24441.23502
                    51.35274.33798.32404.31085.29838.28658.27541.26482.25479.24528
                    52.36402.34924.33525.32200.30946.29757.28630.27561.26547.25584
                    53.37550.36070.34668.33339.32078.30882.29746.28667.27643.26669
                    54.38717.37237.35833.34500.33234.32031.30888.29801.28766.27782
                    55.39903.38424.37019.35683.34413.33205.32056.30961.29918.28925
                    56.41108.39631.38227.36890.35617.34405.33250.32149.31099.30097
                    57.42330.40857.39455.38118.36844.35629.34469.33363.32306.31297
                    58.43566.42098.40699.39364.38089.36873.35710.34600.33538.32522
                    59.44811.43351.41956.40623.39350.38133.36968.35855.34789.33768
                    60.46066.44613.43224.41896.40624.39408.38243.37127.36058.35033
                    61.47330.45887.44505.43182.41914.40699.39535.38418.37347.36318
                    62.48608.47175.45802.44485.43223.42011.40848.39732.38660.37629
                    63.49898.48478.47115.45807.44550.43343.42184.41069.39997.38966
                    64.51200.49793.48442.47143.45895.44694.43539.42427.41357.40326
                    65.52512.51121.49782.48495.47255.46062.44912.43805.42738.41709
                    66.53835.52461.51137.49862.48634.47449.46307.45206.44143.43118
                    67.55174.53818.52511.51250.50034.48860.47727.46633.45576.44556
                    68.56524.55188.53899.52654.51452.50291.49168.48083.47034.46020
                    69.57882.56568.55299.54071.52885.51737.50627.49552.48513.47506
                    70.59242.57951.56703.55495.54325.53193.52096.51034.50004.49007
                    71.60598.59332.58106.56918.55767.54651.53569.52520.51503.50516
                    72.61948.60707.59504.58338.57206.56108.55043.54009.53004.52029
                    73.63287.62073.60895.59751.58640.57561.56513.55495.54505.53543
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                    75.65953.64796.63671.62575.61510.60473.59463.58480.57523.56591
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                    77.68622.67526.66459.65419.64404.63415.62450.61509.60590.59694
                    78.69954.68892.67856.66845.65858.64895.63955.63036.62140.61264
                    79.71278.70250.69246.68265.67308.66372.65457.64563.63690.62836
                    80.72581.71588.70618.69668.68740.67833.66945.66077.65227.64396
                    81.73857.72899.71962.71045.70147.69268.68408.67566.66741.65933
                    82.75101.74178.73274.72389.71522.70672.69840.69024.68225.67441
                    83.76311.75423.74553.73700.72864.72044.71240.70451.69678.68919
                    84.77497.76645.75809.74988.74183.73393.72618.71857.71110.70377
                    85.78665.77848.77047.76260.75487.74728.73982.73250.72530.71823
                    86.79805.79025.78258.77504.76764.76036.75320.74617.73925.73245
                    87.80904.80159.79427.78706.77998.77301.76615.75940.75277.74624
                    88.81962.81251.80552.79865.79188.78521.77865.77220.76584.75958
                    89.82978.82302.81636.80980.80335.79699.79072.78455.77847.77248
                    90.83952.83309.82676.82052.81437.80831.80234.79645.79064.78492
                    91.84870.84260.83658.83064.82479.81902.81332.80771.80217.79671
                    92.85716.85136.84563.83998.83441.82891.82348.81812.81283.80761
                    93.86494.85942.85396.84858.84326.83801.83283.82771.82266.81767
                    94.87216.86690.86170.85657.85149.84648.84153.83664.83181.82704
                    95.87898.87397.86902.86412.85928.85450.84977.84510.84049.83592
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                    99.90217.89803.89393.88987.88585.88187.87793.87402.87016.86633
                    100.90738.90344.89953.89567.89183.88804.88428.88056.87687.87322
                    101.91250.90876.90504.90137.89772.89412.89054.88699.88348.88000
                    102.91751.91396.91045.90696.90350.90007.89668.89331.88997.88666
                    103.92247.91912.91579.91249.90922.90598.90276.89957.89640.89326
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                    109.97985.97893.97801.97710.97619.97529.97438.97348.97259.97170
                    Age6.2%6.4%6.6%6.8%7.0%7.2%7.4%7.6%7.8%8.0%
                    0.03034.02857.02700.02559.02433.02321.02220.02129.02047.01973
                    1.02279.02094.01929.01782.01650.01533.01427.01331.01246.01168
                    2.02347.02155.01983.01829.01692.01569.01458.01358.01268.01187
                    3.02444.02243.02065.01905.01761.01632.01516.01412.01317.01232
                    4.02558.02349.02163.01996.01846.01712.01590.01481.01382.01292
                    5.02686.02469.02275.02101.01945.01804.01677.01562.01458.01364
                    6.02825.02600.02398.02217.02053.01906.01773.01653.01544.01445
                    7.02976.02742.02532.02343.02172.02019.01880.01754.01640.01536
                    8.03137.02894.02675.02479.02301.02140.01995.01864.01744.01635
                    9.03311.03059.02832.02627.02442.02274.02122.01985.01859.01745
                    10.03499.03237.03001.02788.02595.02420.02262.02118.01987.01867
                    11.03700.03428.03183.02961.02760.02578.02413.02262.02125.02000
                    12.03913.03632.03377.03146.02937.02748.02575.02418.02275.02144
                    13.04135.03843.03579.03339.03122.02924.02744.02580.02431.02294
                    14.04359.04057.03783.03534.03308.03102.02915.02744.02587.02444
                    15.04584.04270.03986.03728.03493.03279.03083.02905.02742.02593
                    16.04806.04482.04187.03919.03674.03452.03248.03063.02892.02736
                    17.05029.04692.04387.04108.03855.03623.03411.03218.03040.02877
                    18.05253.04905.04588.04299.04036.03795.03574.03373.03187.03017
                    19.05484.05124.04796.04496.04222.03972.03742.03532.03339.03161
                    20.05726.05354.05013.04702.04418.04158.03919.03700.03498.03313
                    21.05980.05595.05242.04920.04625.04354.04105.03877.03667.03473
                    22.06246.05847.05482.05147.04841.04559.04301.04063.03844.03642
                    23.06524.06112.05734.05387.05069.04777.04508.04260.04032.03821
                    24.06819.06392.06001.05642.05312.05008.04728.04470.04232.04012
                    25.07131.06690.06285.05913.05570.05255.04964.04695.04447.04218
                    26.07460.07005.06586.06200.05845.05518.05215.04936.04677.04438
                    27.07810.07340.06907.06508.06140.05800.05485.05195.04925.04676
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                    29.08566.08065.07603.07176.06780.06414.06075.05761.05469.05198
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                    31.09398.08865.08372.07915.07491.07098.06733.06394.06078.05785
                    32.09843.09294.08785.08313.07875.07468.07089.06737.06409.06103
                    33.10310.09745.09220.08732.08279.07858.07466.07100.06759.06441
                    34.10799.10217.09676.09173.08705.08269.07862.07483.07129.06798
                    35.11314.10715.10157.09638.09155.08704.08283.07890.07522.07179
                    36.11852.11236.10662.10127.09628.09162.08726.08319.07938.07581
                    37.12416.11783.11193.10641.10126.09645.09194.08772.08377.08006
                    38.13009.12359.11751.11183.10652.10155.09689.09253.08843.08459
                    39.13629.12962.12338.11753.11206.10693.10212.09761.09337.08938
                    40.14281.13597.12955.12355.11791.11262.10766.10299.09860.09447
                    41.14966.14264.13606.12989.12409.11864.11352.10870.10417.09989
                    42.15685.14966.14291.13657.13061.12500.11972.11475.11006.10564
                    43.16437.15702.15010.14360.13747.13171.12627.12115.11631.11174
                    44.17224.16472.15764.15098.14469.13876.13317.12789.12290.11819
                    45.18042.17274.16550.15867.15223.14615.14040.13496.12982.12496
                    46.18893.18110.17370.16671.16011.15387.14796.14238.13708.13207
                    47.19775.18975.18220.17505.16830.16190.15584.15010.14466.13950
                    48.20688.19873.19102.18373.17682.17027.16406.15817.15258.14727
                    49.21633.20804.20018.19274.18568.17898.17262.16658.16084.15539
                    50.22612.21769.20969.20210.19490.18805.18155.17536.16948.16388
                    51.23625.22769.21955.21182.20448.19749.19084.18452.17849.17275
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                    53.25742.24861.24022.23222.22461.21735.21043.20383.19753.19151
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                    55.27978.27074.26212.25389.24604.23853.23136.22450.21793.21166
                    56.29140.28227.27355.26522.25725.24963.24233.23535.22867.22227
                    57.30333.29411.28529.27686.26879.26106.25365.24656.23976.23324
                    58.31551.30621.29731.28878.28061.27278.26528.25807.25116.24453
                    59.32790.31854.30956.30095.29269.28477.27716.26986.26284.25610
                    60.34050.33107.32202.31334.30500.29699.28929.28190.27478.26794
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                    63.37974.37020.36101.35216.34363.33542.32750.31986.31250.30539
                    64.39334.38378.37456.36568.35711.34884.34087.33317.32574.31857
                    65.40718.39761.38838.37947.37087.36257.35455.34681.33932.33208
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                    67.43569.42616.41694.40803.39941.39107.38299.37518.36761.36028
                    68.45038.44089.43170.42281.41419.40585.39777.38994.38235.37499
                    69.46531.45587.44672.43786.42927.42094.41286.40503.39743.39006
                    70.48040.47103.46194.45312.44456.43626.42820.42038.41278.40540
                    71.49558.48629.47727.46851.46000.45174.44371.43591.42832.42095
                    72.51082.50162.49268.48399.47554.46733.45934.45157.44401.43666
                    73.52607.51697.50813.49952.49114.48299.47506.46733.45981.45249
                    74.54139.53241.52367.51515.50686.49879.49092.48325.47578.46849
                    75.55683.54798.53936.53095.52276.51477.50698.49938.49197.48474
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                    77.58819.57965.57132.56318.55523.54747.53988.53247.52523.51815
                    78.60408.59572.58755.57957.57177.56414.55668.54939.54225.53527
                    79.62001.61184.60385.59604.58840.58092.57360.56644.55943.55256
                    80.63582.62786.62007.61244.60497.59765.59048.58347.57659.56985
                    81.65142.64367.63608.62864.62135.61421.60721.60034.59361.58701
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                    85.71128.70446.69775.69116.68467.67830.67204.66587.65982.65386
                    86.72576.71919.71272.70636.70010.69394.68789.68193.67606.67029
                    87.73981.73349.72726.72114.71511.70917.70333.69757.69190.68632
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                    89.76658.76076.75503.74938.74381.73832.73290.72757.72231.71712
                    90.77928.77371.76823.76281.75748.75221.74702.74190.73684.73186
                    91.79131.78600.78075.77557.77046.76542.76044.75553.75068.74589
                    92.80246.79737.79235.78740.78250.77767.77290.76818.76353.75893
                    93.81274.80788.80307.79832.79363.78899.78441.77989.77542.77100
                    94.82232.81766.81306.80850.80401.79956.79517.79082.78653.78228
                    95.83141.82695.82254.81818.81387.80961.80539.80122.79710.79302
                    96.83996.83569.83147.82729.82316.81907.81503.81103.80707.80315
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                    98.85530.85138.84750.84366.83985.83609.83236.82867.82502.82140
                    99.86255.85880.85508.85140.84776.84415.84057.83703.83353.83005
                    100.86960.86601.86246.85894.85546.85200.84858.84519.84183.83849
                    101.87655.87313.86974.86638.86305.85975.85648.85324.85003.84684
                    102.88338.88012.87689.87369.87052.86738.86426.86116.85809.85505
                    103.89015.88706.88399.88095.87793.87494.87197.86903.86611.86321
                    104.89737.89446.89157.88871.88586.88304.88024.87745.87469.87195
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                    106.91351.91101.90852.90605.90359.90115.89873.89632.89392.89154
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                    109.97081.96992.96904.96816.96729.96642.96555.96468.96382.96296
                    Age8.2%8.4%8.6%8.8%9.0%9.2%9.4%9.6%9.8%10.0%
                    0.01906.01845.01790.01740.01694.01652.01613.01578.01546.01516
                    1.01098.01034.00977.00924.00876.00833.00793.00756.00722.00691
                    2.01113.01046.00986.00930.00880.00834.00791.00753.00717.00684
                    3.01155.01084.01020.00962.00909.00860.00816.00775.00737.00702
                    4.01211.01137.01069.01008.00952.00900.00853.00810.00770.00733
                    5.01279.01201.01130.01065.01006.00952.00902.00856.00814.00775
                    6.01356.01274.01199.01131.01068.01011.00959.00910.00865.00824
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                    8.01536.01446.01363.01287.01218.01154.01096.01041.00991.00945
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                    10.01758.01659.01567.01484.01407.01336.01270.01210.01154.01103
                    11.01886.01781.01686.01598.01517.01442.01373.01310.01251.01196
                    12.02024.01915.01814.01721.01636.01558.01485.01419.01357.01299
                    13.02168.02054.01948.01851.01762.01679.01603.01533.01467.01407
                    14.02313.02193.02083.01981.01887.01801.01721.01646.01578.01514
                    15.02456.02330.02214.02107.02009.01918.01834.01756.01684.01617
                    16.02593.02462.02340.02229.02126.02030.01942.01860.01785.01714
                    17.02728.02590.02463.02346.02238.02138.02046.01960.01880.01806
                    18.02861.02717.02584.02462.02348.02243.02146.02056.01972.01894
                    19.02998.02847.02708.02580.02461.02351.02249.02154.02066.01984
                    20.03142.02984.02839.02704.02580.02465.02357.02258.02165.02079
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                    22.03455.03283.03124.02976.02839.02712.02594.02484.02382.02286
                    23.03626.03446.03279.03124.02981.02847.02723.02608.02500.02400
                    24.03809.03620.03446.03283.03133.02993.02863.02741.02628.02522
                    25.04005.03808.03625.03456.03298.03151.03014.02887.02768.02656
                    26.04216.04010.03819.03641.03476.03322.03178.03044.02919.02802
                    27.04444.04229.04029.03843.03670.03508.03357.03217.03085.02962
                    28.04687.04463.04254.04059.03877.03708.03550.03402.03263.03133
                    29.04946.04712.04493.04289.04099.03922.03756.03600.03455.03318
                    30.05221.04976.04748.04534.04335.04149.03975.03812.03659.03515
                    31.05511.05255.05017.04794.04585.04390.04208.04037.03876.03725
                    32.05818.05551.05302.05069.04851.04647.04455.04276.04107.03948
                    33.06144.05866.05606.05363.05135.04921.04720.04532.04355.04188
                    34.06489.06200.05928.05674.05436.05212.05002.04805.04619.04444
                    35.06857.06555.06273.06007.05758.05524.05304.05097.04902.04718
                    36.07246.06932.06638.06361.06101.05856.05626.05409.05205.05012
                    37.07659.07332.07025.06737.06466.06210.05969.05742.05528.05325
                    38.08098.07758.07439.07138.06855.06588.06336.06099.05874.05662
                    39.08563.08210.07878.07565.07270.06992.06729.06480.06245.06023
                    40.09059.08692.08347.08021.07714.07423.07149.06889.06643.06411
                    41.09586.09206.08848.08509.08189.07886.07600.07329.07072.06828
                    42.10147.09753.09381.09029.08696.08381.08083.07800.07531.07277
                    43.10742.10334.09948.09583.09237.08909.08598.08304.08024.07758
                    44.11373.10950.10551.10172.09813.09472.09148.08841.08549.08272
                    45.12035.11599.11185.10792.10420.10066.09730.09410.09106.08817
                    46.12732.12281.11853.11447.11061.10694.10345.10013.09696.09395
                    47.13460.12995.12553.12133.11733.11353.10991.10646.10317.10004
                    48.14223.13743.13287.12853.12439.12046.11671.11313.10972.10646
                    49.15020.14526.14056.13608.13181.12774.12385.12015.11661.11322
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                    53.18576.18027.17501.16999.16518.16057.15616.15194.14789.14400
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                    55.20564.19989.19437.18908.18402.17915.17449.17001.16571.16157
                    56.21613.21025.20461.19919.19400.18901.18422.17962.17519.17093
                    57.22698.22098.21522.20968.20436.19925.19434.18961.18507.18069
                    58.23816.23204.22616.22051.21507.20984.20481.19996.19530.19080
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                    60.26136.25502.24892.24304.23738.23192.22666.22158.21669.21196
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                    62.28578.27925.27295.26687.26100.25533.24985.24456.23945.23451
                    63.29854.29192.28553.27935.27339.26762.26205.25666.25145.24641
                    64.31164.30494.29846.29221.28615.28030.27463.26915.26384.25870
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                    67.35318.34630.33963.33316.32689.32081.31491.30918.30363.29823
                    68.36785.36093.35422.34770.34138.33524.32928.32349.31787.31240
                    69.38290.37595.36920.36265.35628.35009.34408.33824.33256.32703
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                    71.41378.40681.40003.39343.38701.38076.37467.36875.36298.35736
                    72.42950.42253.41575.40914.40271.39644.39034.38438.37858.37293
                    73.44535.43840.43162.42502.41858.41231.40619.40022.39440.38872
                    74.46139.45446.44771.44112.43469.42842.42230.41632.41049.40479
                    75.47769.47080.46408.45752.45111.44485.43874.43277.42693.42123
                    76.49430.48747.48079.47427.46790.46167.45558.44963.44380.43811
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                    78.52845.52177.51523.50884.50257.49645.49044.48457.47881.47317
                    79.54584.53926.53282.52650.52032.51426.50833.50251.49681.49122
                    80.56325.55678.55044.54423.53813.53216.52630.52056.51492.50939
                    81.58054.57419.56797.56186.55587.54999.54422.53856.53300.52754
                    82.59762.59140.58530.57931.57343.56766.56198.55641.55094.54557
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                    90.72694.72209.71730.71257.70791.70330.69876.69427.68984.68547
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                    Age10.2%10.4%10.6%10.8%11.0%11.2%11.4%11.6%11.8%12.0%
                    0.01488.01463.01439.01417.01396.01377.01359.01343.01327.01312
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                    13.01351.01298.01249.01204.01161.01121.01084.01049.01016.00985
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                    93.72569.72184.71804.71429.71057.70689.70326.69967.69611.69259
                    94.73861.73490.73123.72759.72400.72044.71692.71344.71000.70659
                    95.75097.74739.74384.74033.73686.73342.73002.72665.72331.72001
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                    Age12.2%12.4%12.6%12.8%13.0%13.2%13.4%13.6%13.8%14.0%
                    0.01298.01285.01273.01261.01250.01240.01230.01221.01212.01203
                    1.00468.00455.00443.00431.00420.00410.00400.00391.00382.00374
                    2.00448.00435.00421.00409.00398.00387.00376.00366.00357.00348
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                    13.00955.00928.00902.00877.00854.00831.00810.00790.00771.00753
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                    17.01250.01215.01183.01152.01124.01096.01070.01045.01022.00999
                    18.01308.01272.01238.01206.01175.01147.01119.01093.01068.01044
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                    24.01716.01665.01618.01573.01530.01489.01451.01415.01380.01347
                    25.01804.01751.01701.01653.01608.01565.01524.01485.01448.01413
                    26.01902.01845.01792.01741.01693.01648.01604.01563.01524.01487
                    27.02011.01951.01895.01841.01790.01742.01696.01652.01610.01571
                    28.02129.02066.02006.01949.01895.01844.01795.01748.01704.01662
                    29.02258.02191.02127.02067.02009.01955.01903.01853.01806.01762
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                    33.02871.02786.02706.02629.02556.02487.02420.02357.02297.02240
                    34.03054.02964.02879.02797.02720.02646.02576.02509.02445.02383
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                    36.03467.03366.03269.03178.03090.03007.02928.02852.02779.02710
                    37.03697.03590.03488.03391.03298.03209.03125.03044.02967.02893
                    38.03947.03833.03725.03622.03524.03430.03340.03254.03172.03094
                    39.04217.04096.03982.03873.03768.03669.03573.03482.03395.03312
                    40.04510.04383.04262.04146.04035.03930.03828.03732.03639.03550
                    41.04830.04695.04567.04445.04327.04215.04108.04005.03907.03812
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                    95.71674.71351.71031.70713.70399.70088.69781.69476.69174.68875
                    96.72959.72646.72335.72028.71724.71422.71123.70828.70534.70244
                    97.74156.73853.73552.73254.72959.72666.72376.72089.71804.71522
                    98.75287.74993.74702.74413.74126.73842.73561.73282.73006.72732
                    99.76401.76117.75834.75555.75277.75002.74730.74459.74191.73926
                    100.77494.77219.76946.76676.76408.76142.75878.75616.75357.75099
                    101.78580.78315.78052.77791.77532.77275.77021.76768.76517.76268
                    102.79654.79399.79146.78894.78645.78397.78152.77908.77666.77426
                    103.80724.80479.80236.79994.79755.79517.79280.79046.78813.78582
                    104.81879.81646.81413.81183.80954.80726.80501.80276.80054.79832
                    105.83005.82782.82560.82340.82121.81904.81688.81474.81260.81049
                    106.84485.84277.84071.83866.83662.83459.83257.83057.82857.82659
                    107.86311.86124.85937.85751.85566.85382.85199.85017.84835.84655
                    108.89266.89114.88963.88812.88662.88513.88364.88216.88068.87922
                    109.94563.94484.94405.94326.94248.94170.94092.94014.93937.93860
                    Table 90CM—Applicable After April 30, 1999, and Before May 1, 2009
                    Age × (1)l(x) (2)Age × (1)l(x) (2)Age × (1)l(x) (2)
                    010000037959697462852
                    19906438957807560449
                    29899239955817657955
                    39894440953737755373
                    49890741951567852704
                    59887742949287949943
                    69885043946878047084
                    79882644944318144129
                    89880345941548241091
                    99878346938558337994
                    109876647935288434876
                    119875048931738531770
                    129873449927878628687
                    139871350923708725638
                    149868151919188822658
                    159863552914248919783
                    169857353908859017046
                    179849754902979114466
                    189840955896589212066
                    19983145688965939884
                    20982155788214947951
                    21981135887397956282
                    22980065986506964868
                    23978966085537973694
                    24977846184490982745
                    25976716283368991999
                    269755663821691001424
                    27974416480887101991
                    28973226579519102672
                    29971996678066103443
                    30970706776531104284
                    31969346874907105175
                    32967916973186106105
                    3396642707135710760
                    3496485716941110833
                    3596322726734410917
                    369615073651541100

                    (g) Valuation of annuities, interests for life or a term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is on or after May 1, 2009, and before June 1, 2023—(1) In general. Except as otherwise provided in §§ 20.2031-7(b) and 20.7520-3(b) (pertaining to certain limitations on the use of prescribed tables), if the valuation date for the gross estate of the decedent is on or after May 1, 2009, and before June 1, 2023, the fair market value of annuities, interests for life or a term of years, and remainder or reversionary interests is the present value of the interests determined by using standard or special section 7520 actuarial factors and the valuation methodology described in § 20.2031-7(d). These factors are derived by using the appropriate section 7520 interest rate and, if applicable, the mortality component for the valuation date of the interest that is being valued. See §§ 20.7520-1 through 20.7520-4. See paragraph (g)(4) of this section for determination of the appropriate table for use in valuing these interests.

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                      (2) Transitional rules. (i) If a decedent dies on or after May 1, 2009, and if, on May 1, 2009, the decedent was under a mental disability so that the disposition of the decedent's property could not be changed, and the decedent dies on or before June 1, 2023, either without having regained the ability to dispose of the decedent's property or within 90 days of the date on which the decedent first regains that ability, the fair market value of annuities, interests for life or a term of years, and remainder or reversionary interests included in the gross estate of the decedent is their present value determined either under this section or under the corresponding section applicable at the time the decedent first became subject to the mental disability, at the option of the decedent's executor. For example, see paragraph (d) of this section.

                      Cited by 1

                        (ii) If a decedent dies on or after May 1, 2009, and before July 1, 2009, the fair market value of annuities, interests for life or a term of years, and remainder or reversionary interests based on one or more measuring lives included in the gross estate of the decedent is their present value determined under this section by using the section 7520 interest rate for the month in which the valuation date occurs (see §§ 20.7520-1(b) and 20.7520-2(a)(2)) and the appropriate actuarial tables under either paragraph (f)(4) or (g)(4) of this section, at the option of the decedent's executor.

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                          (iii) For purposes of paragraphs (g)(2)(i) and (ii) of this section, where the decedent's executor is given the option to use the appropriate actuarial tables under either paragraph (f)(4) or (g)(4) of this section, the decedent's executor must consistently use the same mortality basis with respect to each interest (income, remainder, partial, etc.) in the same property, and with respect to all transfers occurring on the same valuation date. For example, gift and income tax charitable deductions with respect to the same transfer must be determined based on factors with the same mortality basis, and all assets includible in the gross estate and/or estate tax deductions claimed must be valued based on factors with the same mortality basis.

                          (iv) If a decedent dies after April 30, 2019, and before June 1, 2023, the fair market value of annuities, interests for life or a term of years, and remainder or reversionary interests based on one or more measuring lives included in the gross estate is their present value determined under § 20.2031-7(d)(3).

                          (3) Publications and actuarial computations by the Internal Revenue Service. The factor for determining the present value of a remainder interest that is dependent on the termination of the life of one individual may be computed by using the formula in § 20.2031-7(d)(2)(ii)(B) to derive a remainder factor from the appropriate mortality table expressed to at least five decimal places. For the convenience of taxpayers, actuarial factors have been computed by the IRS and appear in Table S. The factor for determining the present value of a remainder interest following a term certain may be computed by using the formula in § 20.2031-7(d)(2)(ii)(A) expressed to at least six decimal places. For the convenience of taxpayers, actuarial factors have been computed by the IRS and appear in Table B. Adjustment factors for term certain annuities payable at the beginning of each interval may be computed by using the formula in § 20.2031-7(d)(2)(iv)(C) expressed to at least four decimal places. For the convenience of taxpayers, actuarial factors have been computed by the IRS and appear in Table J. Adjustment factors for annuities payable at the end of each interval may be computed by using the formula in § 20.2031-7(d)(2)(iv)(B) expressed to at least four decimal places. For the convenience of taxpayers, actuarial factors have been computed by the IRS and appear in Table K. These tables are referenced and explained by IRS Publication 1457, Actuarial Values Version 3A (2009). Publication 1457 includes examples that illustrate how to compute many special factors for more unusual situations. The actuarial tables are available, at no charge, electronically via the IRS website at https://www.irs.gov/retirement-plans/actuarial-tables (or a corresponding URL as may be updated from time to time). Table S also can be found in paragraph (g)(4) of this section, but only for interest rates from 0.2 to 14 percent, inclusive. Tables B, J, and K also can be found in § 20.2031-7(d)(6), but only for interest rates from 4.2 to 14 percent, inclusive. If a special factor is required in the case of an actual decedent, the special factor may be calculated by the executor using the actuarial formulas in § 20.2031-7(d)(2) or the executor may request a ruling to obtain the factor from the Internal Revenue Service. The request for a ruling must be accompanied by a recitation of the facts including a statement of the date of birth for each measuring life, the date of the decedent's death, any other applicable dates, and a copy of the will, trust, or other relevant documents. A request for a ruling must comply with the instructions for requesting a ruling published periodically in the Internal Revenue Bulletin (see §§ 601.201 and 601.601(d)(2)(ii)(b) of this chapter) and must include payment of the required user fee.

                          (4) Actuarial tables. Except as provided in § 20.7520-3(b) (pertaining to certain limitations on the use of prescribed tables), actuarial factors based on Table 2000CM must be used in the application of the provisions of this section. The factor for determining the present value of a remainder interest that is dependent on the termination of the life of one individual may be computed by using the formula in § 20.2031-7(d)(2)(ii)(B) to derive a remainder factor from the appropriate mortality table to at least five decimal places. For the convenience of taxpayers, actuarial factors, when the section 7520 interest rate component is from 0.2 to 20 percent, inclusive, have been computed by the IRS and appear in Table S (applicable on and after May 1, 2009, and before June 1, 2023). These actuarial tables, as referenced and explained by IRS Publication 1457, Actuarial Valuations Version 3A, are available, at no charge, electronically via the IRS website at https://www.irs.gov/retirement-plans/actuarial-tables. Table S (notwithstanding the lack of the applicable termination date in its heading), where the section 7520 interest rate component is from 0.2 to 14 percent, inclusive, and Table 2000CM are as follows:

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                            (5) Applicability dates. Paragraphs (g)(1) through (4) of this section apply on and after May 1, 2009, and before June 1, 2023.

                            [T.D. 8540, 59 FR 30151, June 10, 1994, as amended at 59 FR 30152, June 10, 1994; T.D. 8819, 64 FR 23211, 23212, Apr. 30, 1999; 64 FR 33195, June 22, 1999; T.D. 8886, 65 FR 36943, June 12, 2000; T.D. 9448, 74 FR 21509, May 7, 2009; T.D. 9540, 76 FR 49637, Aug. 10, 2011; T.D. 9974, 88 FR 37445, June 7, 2023]