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Part III – Federal Estate Tax

0223 Publ 904 (PDF) · 2026-10-03 edition · updated 2026-10-04 · United States

As indicated above, a deduction may be allowable for the value of property passing to a qualified charity under IRC 2055 or to a surviving spouse under IRC 2056. An interrelated computation is necessary to determine the charitable or marital deduction for Federal estate tax purposes if the property passing to the qualified charity or to the surviving spouse is burdened with payment of Federal estate tax, Federal generation-skipping transfer tax, penalties, state transfer taxes, or certain allowable administrative expenses.

There is no estate tax liability if the entire estate passes to a qualified charity or to the surviving spouse and the property qualifies for the marital deduction.

The examples in Part III showing the IRC 2055 charitable deduction computations also apply if an interrelated computation is necessary for determining a marital deduction under IRC 2056.

The first step in all interrelated computations is to determine the distribution of the decedent’s estate. The second step is to determine what property bears the payment of tax, penalties, or certain allowable administrative expenses. Once these two steps are complete, the interrelated computation may be computed.

Estate Tax Example 1 - Trial and Substitution Method

  • State estate tax is constant.

  • Taxable interests include adjusted taxable gifts.

An individual died in 2020 leaving a gross estate valued at $100,000,000.00. The debts and expenses of the estate were $1,000,000.00 and noncharitable specific bequests totaled $5,000,000.00. Thirty percent (30%) of the estate residue passed to a charity. The state death tax deduction is constant at $10,000,000.00 and the will directed that all estate taxes were to be paid as a general charge against the estate. The decedent made taxable gifts in 2015 equal to $20,000,000.00 and the gift tax payable equals $5,828,000.00. This example uses the conventional option to determine the estate tax.

4

Estate and Gift Tax Interrelated Computations

Trial 1

1) Trial distribution of estate Total gross estate

Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00 Trial Federal estate tax 0.00 Net residue

Times: Percentage to charity

Trial charitable deduction 2) Computation of trial Federal estate tax Total gross estate

Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 25,200,000.00 State death tax deduction 10,000,000.00

Trial taxable estate

Plus: Adjusted taxable gifts Trial taxable interests

Minus: Bracket from Table A, Column A Remainder

$100,000,000.00

16,000,000.00 $84,000,000.00

x 0.30

$25,200,000.00

$100,000,000.00

36,200,000.00

$63,800,000.00

20,000,000.00 $83,800,000.00

1,000,000.00 $82,800,000.00

Trial 2

1) Trial distribution of estate Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00 Trial Federal estate tax 23,060,000.00 39,060,000.00 Net residue $60,940,000.00

Times: Percentage to charity x 0.30

Trial charitable deduction $18,282,000.00 2) Computation of trial Federal estate tax Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 18,282,000.00 State death tax deduction 10,000,000.00 29,282,000.00

Trial taxable estate $70,718,000.00 Plus: Adjusted taxable gifts 20,000,000.00 Trial taxable interests $90,718,000.00 Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $89,718,000.00 Times: Marginal rate from Table A, Column D x 0.40

Product $35,887,200.00 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,233,000.00 Minus: Total gift tax paid or payable 5,828,000.00 Trial gross estate tax $30,405,000.00

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $25,827,200.00

Times: Marginal rate from Table A, Column D Product Plus: Tax on bracket from Table A, Column C Tax on trial taxable interests

Minus: Total gift tax paid or payable Trial gross estate tax

x 0.40 $33,120,000.00

345,800.00 $33,465,800.00

5,828,000.00 $27,637,800.00

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $23,060,000.00

Estate and Gift Tax Interrelated Computations

5

Trial 3

1) Trial distribution of estate Total gross estate

Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00 Trial Federal estate tax 25,827,200.00 Net residue

Times: Percentage to charity

Trial charitable deduction 2) Computation of trial Federal estate tax Total gross estate

Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,451,840.00 State death tax deduction 10,000,000.00

Trial taxable estate

Plus: Adjusted taxable gifts Trial taxable interests

$100,000,000.00

41,827,200.00 $58,172,800.00

x 0.30

$17,451,840.00

$100,000,000.00

28,451,840.00

$71,548,160.00

20,000,000.00 $91,548,160.00

Trial 4

1) Trial distribution of estate Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00 Trial Federal estate tax 26,159,264.00 42,159,264.00 Net residue $57,840,736.00

Times: Percentage to charity x 0.30

Trial charitable deduction $17,352,220.80 2) Computation of trial Federal estate tax Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,352,220.80 State death tax deduction 10,000,000.00 28,352,220.80

Trial taxable estate $71,647,779.20 Plus: Adjusted taxable gifts 20,000,000.00 Trial taxable interests $91,647,779.20 Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,647,779.20 Times: Marginal rate from Table A, Column D x 0.40 Product $36,259,111.68 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,604,911.68 Minus: Total gift tax paid or payable 5,828,000.00 Trial gross estate tax $30,776,911.68

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,199,111.68

Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,548,160.00

Times: Marginal rate from Table A, Column D Product Plus: Tax on bracket from Table A, Column C Tax on trial taxable interests

Minus: Total gift tax paid or payable Trial gross estate tax

x 0.40 $36,219,264.00

345,800.00 $36,565,064.00

5,828,000.00 $30,737,064.00

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,159,264.00

6

Estate and Gift Tax Interrelated Computations

Trial 5

1) Trial distribution of estate Total gross estate

Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00 Trial Federal estate tax 26,199,111.68 Net residue

Times: Percentage to charity

Trial charitable deduction 2) Computation of trial Federal estate tax Total gross estate

Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,340,266.50 State death tax deduction 10,000,000.00

Trial taxable estate

Plus: Adjusted taxable gifts Trial taxable interests

$100,000,000.00

42,199,111.68 $57,800,888.32

x 0.30

$17,340,266.50

$100,000,000.00

28,340,266.50

$71,659,733.50

20,000,000.00 $91,659,733.50

Trial 6

1) Trial distribution of estate Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00

Trial Federal estate tax 26,203,893.40 42,203,893.40 Net residue $57,796,106.60

Times: Percentage to charity x 0.30

Trial charitable deduction $17,338,831.98 2) Computation of trial Federal estate tax Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,338,831.98 State death tax deduction 10,000,000.00 28,338,831.98

Trial taxable estate $71,661,168.02 Plus: Adjusted taxable gifts 20,000,000.00 Trial taxable interests $91,661,168.02 Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,661,168.02 Times: Marginal rate from Table A, Column D x 0.40 Product $36,264,467.21 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,610,267.21 Minus: Total gift tax paid or payable 5,828,000.00 Trial gross estate tax $30,782,267.21

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,204,467.21

Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,659,733.50

Times: Marginal rate from Table A, Column D Product Plus: Tax on bracket from Table A, Column C Tax on trial taxable interests

Minus: Total gift tax paid or payable Trial gross estate tax

x 0.40 $36,263,893.40

345,800.00 $36,609,693.40

5,828,000.00 $30,781,693.40

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,203,893.40

Estate and Gift Tax Interrelated Computations

7

Trial 7

1) Trial distribution of estate Total gross estate

Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00 Trial Federal estate tax 26,204,467.21 Net residue

Times: Percentage to charity

Trial charitable deduction 2) Computation of trial Federal estate tax Total gross estate

Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,338,659.84 State death tax deduction 10,000,000.00

Trial taxable estate

Plus: Adjusted taxable gifts Trial taxable interests

$100,000,000.00

42,204,467.21 $57,795,532.79

x 0.30

$17,338,659.84

$100,000,000.00

28,338,659.84

$71,661,340.16

20,000,000.00 $91,661,340.16

Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,661,340.16

Times: Marginal rate from Table A, Column D x 0.40 Product $36,264,536.06 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,610,336.06

Trial 8

1) Trial distribution of estate Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00

Trial Federal estate tax 26,204,536.06 42,204,536.06 Net residue $57,795,463.94

Times: Percentage to charity x 0.30

Trial charitable deduction $17,338,639.18 2) Computation of trial Federal estate tax Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,338,639.18 State death tax deduction 10,000,000.00 28,338,639.18

Trial taxable estate $71,661,360.82 Plus: Adjusted taxable gifts 20,000,000.00 Trial taxable interests $91,661,360.82 Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,661,360.82 Times: Marginal rate from Table A, Column D x 0.40 Product $36,264,544.33 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,610,344.33 Minus: Total gift tax paid or payable 5,828,000.00 Trial gross estate tax $30,782,344.33

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,204,544.33

Minus: Total gift tax paid or payable Trial gross estate tax

5,828,000.00

$30,782,336.06

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,204,536.06

8

Estate and Gift Tax Interrelated Computations

Trial 9

1) Trial distribution of estate Total gross estate

Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00 Trial Federal estate tax 26,204,544.33 Net residue

Times: Percentage to charity

Trial charitable deduction 2) Computation of trial Federal estate tax Total gross estate

Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,338,636.70 State death tax deduction 10,000,000.00

Trial taxable estate

Plus: Adjusted taxable gifts Trial taxable interests

$100,000,000.00

42,204,544.33 $57,795,455.67

x 0.30

$17,338,636.70

$100,000,000.00

28,338,636.70

$71,661,363.30

20,000,000.00 $91,661,363.30

Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,661,363.30

Times: Marginal rate from Table A, Column D x 0.40 Product $36,264,545.32 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,610,345.32

Trial 10

1) Trial distribution of estate Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00

Trial Federal estate tax 26,204,545.32 42,204,545.32 Net residue $57,795,454.68

Times: Percentage to charity x 0.30

Trial charitable deduction $17,338,636.40 2) Computation of trial Federal estate tax Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,338,636.40 State death tax deduction 10,000,000.00 28,338,636.40

Trial taxable estate $71,661,363.60 Plus: Adjusted taxable gifts 20,000,000.00 Trial taxable interests $91,661,363.60 Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,661,363.60 Times: Marginal rate from Table A, Column D x 0.40 Product $36,264,545.44 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,610,345.44 Minus: Total gift tax paid or payable 5,828,000.00 Trial gross estate tax $30,782,345.44

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,204,545.44

Minus: Total gift tax paid or payable Trial gross estate tax

5,828,000.00

$30,782,345.32

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,204,545.32

Estate and Gift Tax Interrelated Computations

9

Trial 11

1) Trial distribution of estate Total gross estate

Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00 Trial Federal estate tax 26,204,545.44 Net residue

Times: Percentage to charity

Trial charitable deduction 2) Computation of trial Federal estate tax Total gross estate

Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,338,636.37 State death tax deduction 10,000,000.00

Trial taxable estate

Plus: Adjusted taxable gifts Trial taxable interests

$100,000,000.00

42,204,545.44 $57,795,454.56

x 0.30

$17,338,636.37

$100,000,000.00

28,338,636.37

$71,661,363.63

20,000,000.00 $91,661,363.63

Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,661,363.63

Times: Marginal rate from Table A, Column D x 0.40 Product $36,264,545.45 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,610,345.45

Trial 12

1) Trial distribution of estate Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Bequests 5,000,000.00 State death tax (Constant) 10,000,000.00

Trial Federal estate tax 26,204,545.45 42,204,545.45 Net residue $57,795,454.55

Times: Percentage to charity x 0.30

Trial charitable deduction $17,338,636.36 2) Computation of trial Federal estate tax Total gross estate $100,000,000.00 Minus: Debts and expenses $1,000,000.00 Trial charitable deduction 17,338,636.36 State death tax deduction 10,000,000.00 28,338,636.36

Trial taxable estate $71,661,363.64 Plus: Adjusted taxable gifts 20,000,000.00 Trial taxable interests $91,661,363.64 Minus: Bracket from Table A, Column A 1,000,000.00 Remainder $90,661,363.64 Times: Marginal rate from Table A, Column D x 0.40 Product $36,264,545.45 Plus: Tax on bracket from Table A, Column C 345,800.00 Tax on trial taxable interests $36,610,345.45 Minus: Total gift tax paid or payable 5,828,000.00 Trial gross estate tax $30,782,345.45

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,204,545.45

Minus: Total gift tax paid or payable Trial gross estate tax

5,828,000.00

$30,782,345.45

Minus: Allowable applicable credit amount 4,577,800.00 Trial net estate tax $26,204,545.45

10

Estate and Gift Tax Interrelated Computations

Estate Tax Example 2 - Algebraic Method

  • State estate tax is constant.

  • Taxable interests include adjusted taxable gifts.

The facts are the same as in Estate Tax Example 1, but the estate tax is computed using the Algebraic method. In the example below, the letter “ F ” stands for the Federal estate tax, 0.30 equals the percentage passing to the qualified charity, 0.40 equals the highest tax rate, and 0.12 equals the product that is the result of multiplying the charitable percentage, 0.30, times the highest tax rate, 0.40, or .30 x .40 = 0.12.

1) Trial distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $1,000,000.00

Bequests 5,000,000.00

State death tax (Constant) 10,000,000.00

Trial Federal estate tax .......................F 16,000,000.00 + F

Net residue $84,000,000.00 - F

Times: Percentage to charity x 0.30

Trial charitable deduction $25,200,000.00 -0.30F

2) Computation of trial Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $1,000,000.00

Trial charitable deduction 25,200,000.00 - 0.30F

State death tax deduction 10,000,000.00 36,200,000.00 - 0.30F

Trial taxable estate $63,800,000.00 + 0.30F

Plus: Adjusted taxable gifts 20,000,000.00

Trial taxable interests $83,800,000.00 + 0.30F

Minus: Bracket from Table A, Column A 1,000,000.00

Remainder $82,800,000.00 + 0.30F

Times: Marginal rate from Table A, Column D x 0.40

Product $33,120,000.00 + 0.12F

Plus: Tax on bracket from Table A, Column C 345,800.00

Tax on trial taxable interests $33,465,800.00 + 0.12F

Minus: Total gift tax paid or payable 5,828,000.00

Gross estate tax $27,637,800.00 + 0.12F

Minus: Allowable applicable credit amount 4,577,800.00

Net Federal estate tax in terms of F $23,060,000.00 + 0.12F

3) Solve for F

This expression for the Federal estate tax in terms of F may be expressed as an algebraic equation: F = $23,060,000.00 + 0.12F

Solve this equation for F to determine the Federal estate tax. a) Transpose to simplify: F - 0.12F = $23,060,000.00 b) Consolidate the F terms: 0.88F = $23,060,000.00 c) Divide both sides of the equation by the decimal coefficient (0.88):

0.88F $23,060,000.00

0.88 0.88 d) This yields the Federal tax: F = $26,204,545.45

Estate and Gift Tax Interrelated Computations

11

Proof 1) Distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $1,000,000.00

Bequests 5,000,000.00

State death tax (Constant) 10,000,000.00

Federal estate tax (F) 26,204,545.45 42,204,545.45

Net residue $57,795,454.55

Times: Percentage to charity x 0.30

Charitable deduction $17,338,636.36

2) Computation of Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $1,000,000.00

Charitable deduction 17,338,636.36

State death tax deduction 10,000,000.00 28,338,636.36

Taxable estate $71,661,363.64

Plus: Adjusted taxable gifts 20,000,000.00

Taxable interests $91,661,363.64

Minus: Bracket from Table A, Column A 1,000,000.00

Remainder $90,661,363.64

Times: Marginal rate from Table A, Column D x 0.40

Product $36,264,545.45

Plus: Tax on bracket from Table A, Column C 345,800.00

Tax on taxable interests $36,610,345.45

Minus: Total gift tax paid or payable 5,828,000.00

Gross estate tax $30,782,345.45

Minus: Allowable applicable credit amount 4,577,800.00

Net estate tax $26,204,545.45

12

Estate and Gift Tax Interrelated Computations

Estate Tax Example 3 - Trial and Substitution Method

  • District of Columbia estate tax is equal to the estate tax imposed for deaths in 2020.

  • Taxable interests include adjusted taxable gifts.

In Example 3, an individual died in 2020 leaving a gross estate valued at $100,000,000.00. There were no debts or expenses and no specific bequests. Thirty percent (30%) of the estate passed to charity. The state death tax deduction (SDTD) is based on the District of Columbia estate tax for deaths in 2020 and the will directed that all estate taxes were to be paid as a general charge against the estate. The decedent made taxable gifts in 2015 equal to $20,000,000.00 and the gift tax payable equals $5,828,000.00. This example uses the alternate option to determine the estate tax.

Trial 1

1) Trial distribution of estate

Total gross estate

Minus: Debts and expenses

Bequests

State death tax (Formula)

Trial Federal estate tax

Net residue

Times: Percentage to charity

Trial charitable deduction

2) Computation of trial Federal estate tax

Total gross estate

Trial 2

1) Trial distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 10,188,512.00

Trial Federal estate tax 21,464,595.20 31,653,107.20

Net residue $68,346,892.80

Times: Percentage to charity x 0.30

Trial charitable deduction $20,504,067.84

2) Computation of trial Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Trial charitable deduction 20,504,067.84

Trial SDTD 11,707,861.15 32,211,928.99

Trial taxable estate $67,788,071.01

Plus: Adjusted taxable gifts 20,000,000.00

Trial taxable interests $87,788,071.01

Times: Marginal rate from Table A, Column D x 0.40

Product $35,115,228.41

Minus: Subtractive term from Table A, Column E 54,200.00

Tax on trial taxable interests $35,061,028.41

Minus: Total gift tax paid or payable 5,828,000.00

Trial gross estate tax $29,233,028.41

Minus: Allowable applicable credit amount 4,577,800.00

Trial net estate tax $24,655,228.41

$0.00

0.00

0.00

0.00

$100,000,000.00

0.00

$100,000,000.00

x 0.30

$30,000,000.00

$100,000,000.00

40,188,512.00

$59,811,488.00

20,000,000.00

$79,811,488.00

x 0.40

$31,924,595.20

54,200.00

$31,870,395.20

5,828,000.00

$26,042,395.20

4,577,800.00

$21,464,595.20

Minus: Debts and expenses $0.00

Trial charitable deduction 30,000,000.00

Trial SDTD 10,188,512.00

Trial taxable estate

Plus: Adjusted taxable gifts

Trial taxable interests

Times: Marginal rate from Table A, Column D

Product

Minus: Subtractive term from Table A, Column E

Tax on trial taxable interests

Minus: Total gift tax paid or payable

Trial gross estate tax

Minus: Allowable applicable credit amount

Trial net estate tax

Estate and Gift Tax Interrelated Computations

13

Trial 3

1) Trial distribution of estate

Total gross estate

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,707,861.15

Trial Federal estate tax 24,655,228.41

Net residue

Times: Percentage to charity

Trial charitable deduction

2) Computation of trial Federal estate tax

Total gross estate

Minus: Debts and expenses $0.00

Trial charitable deduction 19,091,073.13

Trial SDTD 11,933,940.30

Trial taxable estate

Plus: Adjusted taxable gifts

Trial taxable interests

Times: Marginal rate from Table A, Column D

Product

Minus: Subtractive term from Table A, Column E

Tax on trial taxable interests

Minus: Total gift tax paid or payable

Trial gross estate tax

Minus: Allowable applicable credit amount

Trial net estate tax

$100,000,000.00

36,363,089.55

$63,636,910.45

x 0.30

$19,091,073.13

$100,000,000.00

31,025,013.43

$68,974,986.57

20,000,000.00

$88,974,986.57

x 0.40

$35,589,994.63

54,200.00

$35,535,794.63

5,828,000.00

$29,707,794.63

4,577,800.00

$25,129,994.63

14

Trial 4

1) Trial distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,933,940.30

Trial Federal estate tax 25,129,994.63 37,063,934.93

Net residue $62,936,065.07

Times: Percentage to charity x 0.30

Trial charitable deduction $18,880,819.52

2) Computation of trial Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Trial charitable deduction 18,880,819.52

Trial SDTD 11,967,580.88 30,848,400.40

Trial taxable estate $69,151,599.60

Plus: Adjusted taxable gifts 20,000,000.00

Trial taxable interests $89,151,599.60

Times: Marginal rate from Table A, Column D x 0.40

Product $35,660,639.84

Minus: Subtractive term from Table A, Column E 54,200.00

Tax on trial taxable interests $35,606,439.84

Minus: Total gift tax paid or payable 5,828,000.00

Trial gross estate tax $29,778,439.84

Minus: Allowable applicable credit amount 4,577,800.00

Trial net estate tax $25,200,639.84

Estate and Gift Tax Interrelated Computations

Trial 5

1) Trial distribution of estate

Total gross estate

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,967,580.88

Trial Federal estate tax 25,200,639.84

Net residue

Times: Percentage to charity

Trial charitable deduction

2) Computation of trial Federal estate tax

Total gross estate

Minus: Debts and expenses $0.00

Trial charitable deduction 18,849,533.78

Trial SDTD 11,972,586.59

Trial taxable estate

Plus: Adjusted taxable gifts

Trial taxable interests

Times: Marginal rate from Table A, Column D

Product

Minus: Subtractive term from Table A, Column E

Tax on trial taxable interests

Minus: Total gift tax paid or payable

Trial gross estate tax Minus: Allowable applicable

credit amount

Trial net estate tax

Estate and Gift Tax Interrelated Computations

15

$100,000,000.00

37,168,220.72

$62,831,779.28

x 0.30

$18,849,533.78

$100,000,000.00

30,822,120.38

$69,177,879.62

20,000,000.00

$89,177,879.62

x 0.40

$35,671,151.85

54,200.00

$35,616,951.85

5,828,000.00

$29,788,951.85

4,577,800.00

$25,211,151.85

Trial 6

1) Trial distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,972,586.59

Trial Federal estate tax 25,211,151.85 37,183,738.44

Net residue $62,816,261.56

Times: Percentage to charity x 0.30

Trial charitable deduction $18,844,878.47

2) Computation of trial Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Trial charitable deduction 18,844,878.47

Trial SDTD 11,973,331.45 30,818,209.91

Trial taxable estate $69,181,790.09

Plus: Adjusted taxable gifts 20,000,000.00

Trial taxable interests $89,181,790.09

Times: Marginal rate from Table A, Column D x 0.40

Product $35,672,716.04

Minus: Subtractive term from Table A, Column E 54,200.00

Tax on trial taxable interests $35,618,516.04

Minus: Total gift tax paid or payable 5,828,000.00

Trial gross estate tax $29,790,516.04

Minus: Allowable applicable credit amount 4,577,800.00

Trial net estate tax $25,212,716.04

Trial 7

1) Trial distribution of estate

Total gross estate

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,973,331.45

Trial Federal estate tax 25,212,716.04

Net residue

Times: Percentage to charity

Trial charitable deduction

2) Computation of trial Federal estate tax

Total gross estate

Minus: Debts and expenses $0.00

Trial charitable deduction 18,844,185.76

Trial SDTD 11,973,442.28

Trial taxable estate

Plus: Adjusted taxable gifts

Trial taxable interests

Times: Marginal rate from Table A, Column D

Product

Minus: Subtractive term from Table A, Column E

Tax on trial taxable interests

Minus: Total gift tax paid or payable

Trial gross estate tax

Minus: Allowable applicable credit amount

Trial net estate tax

$100,000,000.00

37,186,047.48

$62,813,952.52

x 0.30

$18,844,185.76

$100,000,000.00

30,817,628.03

$69,182,371.97

20,000,000.00

$89,182,371.97

x 0.40

$35,672,948.79

54,200.00

$35,618,748.79

5,828,000.00

$29,790,748.79

4,577,800.00

$25,212,948.79

16

Trial 8

1) Trial distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,973,442.28

Trial Federal estate tax 25,212,948.79 37,186,391.07

Net residue $62,813,608.93

Times: Percentage to charity x 0.30

Trial charitable deduction $18,844,082.68

2) Computation of trial Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Trial charitable deduction 18,844,082.68

Trial SDTD 11,973,458.77 30,817,541.45

Trial taxable estate $69,182,458.55

Plus: Adjusted taxable gifts 20,000,000.00

Trial taxable interests $89,182,458.55

Times: Marginal rate from Table A, Column D x 0.40

Product $35,672,983.42

Minus: Subtractive term from Table A, Column E 54,200.00

Tax on trial taxable interests $35,618,783.42

Minus: Total gift tax paid or payable 5,828,000.00

Trial gross estate tax $29,790,783.42

Minus: Allowable applicable credit amount 4,577,800.00

Trial net estate tax $25,212,983.42

Estate and Gift Tax Interrelated Computations

Trial 9

1) Trial distribution of estate

Total gross estate

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,973,458.77

Trial Federal estate tax 25,212,983.42

Net residue

Times: Percentage to charity

Trial charitable deduction

2) Computation of trial Federal estate tax

Total gross estate

Minus: Debts and expenses $0.00

Trial charitable deduction 18,844,067.34

Trial SDTD 11,973,461.23

Trial taxable estate

Plus: Adjusted taxable gifts

Trial taxable interests

Times: Marginal rate from Table A, Column D

Product

Minus: Subtractive term from Table A, Column E

Tax on trial taxable interests

Minus: Total gift tax paid or payable

Trial gross estate tax

Minus: Allowable applicable credit amount

Trial net estate tax

Estate and Gift Tax Interrelated Computations

17

$100,000,000.00

37,186,442.19

$62,813,557.81

x 0.30

$18,844,067.34

$100,000,000.00

30,817,528.57

$69,182,471.43

20,000,000.00

$89,182,471.43

x 0.40

$35,672,988.57

54,200.00

$35,618,788.57

5,828,000.00

$29,790,788.57

4,577,800.00

$25,212,988.57

Trial 10

1) Trial distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,973,461.23

Trial Federal estate tax 25,212,988.57 37,186,449.80

Net residue $62,813,550.20

Times: Percentage to charity x 0.30

Trial charitable deduction $18,844,065.06

2) Computation of trial Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Trial charitable deduction 18,844,065.06

Trial SDTD 11,973,461.59 30,817,526.65

Trial taxable estate $69,182,473.35

Plus: Adjusted taxable gifts 20,000,000.00

Trial taxable interests $89,182,473.35

Times: Marginal rate from Table A, Column D x 0.40

Product $35,672,989.34

Minus: Subtractive term from Table A, Column E 54,200.00

Tax on trial taxable interests $35,618,789.34

Minus: Total gift tax paid or payable 5,828,000.00

Trial gross estate tax $29,790,789.34

Minus: Allowable applicable credit amount 4,577,800.00

Trial net estate tax $25,212,989.34

Trial 11

1) Trial distribution of estate

Total gross estate

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,973,461.59

Trial Federal estate tax 25,212,989.34

Net residue

Times: Percentage to charity

Trial charitable deduction

2) Computation of trial Federal estate tax

Total gross estate

Minus: Debts and expenses $0.00

Trial charitable deduction 18,844,064.72

Trial SDTD 11,973,461.64

Trial taxable estate

Plus: Adjusted taxable gifts

Trial taxable interests

Times: Marginal rate from Table A, Column D

Product

Minus: Subtractive term from Table A, Column E

Tax on trial taxable interests

Minus: Total gift tax paid or payable

Trial gross estate tax

Minus: Allowable applicable credit amount

Trial net estate tax

$100,000,000.00

37,186,450.93

$62,813,549.07

x 0.30

$18,844,064.72

$100,000,000.00

30,817,526.37

$69,182,473.63

20,000,000.00

$89,182,473.63

x 0.40

$35,672,989.45

54,200.00

$35,618,789.45

5,828,000.00

$29,790,789.45

4,577,800.00

$25,212,989.45

Trial 12

1) Trial distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,973,461.64

Trial Federal estate tax 25,212,989.45 37,186,451.10

Net residue $62,813,548.90

Times: Percentage to charity x 0.30

Trial charitable deduction $18,844,064.67

2) Computation of trial Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Trial charitable deduction 18,844,064.67

Trial SDTD 11,973,461.65 30,817,526.32

Trial taxable estate $69,182,473.68

Plus: Adjusted taxable gifts 20,000,000.00

Trial taxable interests $89,182,473.68

Times: Marginal rate from Table A, Column D x 0.40

Product $35,672,989.47

Minus: Subtractive term from Table A, Column E 54,200.00

Tax on trial taxable interests $35,618,789.47

Minus: Total gift tax paid or payable 5,828,000.00

Trial gross estate tax $29,790,789.47

Minus: Allowable applicable credit amount 4,577,800.00

Trial net estate tax $25,212,989.47

18

Estate and Gift Tax Interrelated Computations

Trial 13

1) Trial distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,973,461.65

Trial Federal estate tax 25,212,989.47 37,186,451.12

Net residue $62,813,548.88

Times: Percentage to charity x 0.30

Trial charitable deduction $18,844,064.66

2) Computation of trial Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Trial charitable deduction 18,844,064.66

Trial SDTD 11,973,461.65 30,817,526.32

Trial taxable estate $69,182,473.68

Plus: Adjusted taxable gifts 20,000,000.00

Trial taxable interests $89,182,473.68

Times: Marginal rate from Table A, Column D x 0.40

Product $35,672,989.47

Minus: Subtractive term from Table A, Column E 54,200.00

Tax on trial taxable interests $35,618,789.47

Minus: Total gift tax paid or payable 5,828,000.00

Trial gross estate tax $29,790,789.47

Minus: Allowable applicable credit amount 4,577,800.00

Trial net estate tax $25,212,989.47

Estate and Gift Tax Interrelated Computations

19

Estate Tax Example 4 – Algebraic Method

  • District of Columbia estate tax is equal to the estate tax imposed for deaths in 2020.

  • Taxable interests include adjusted taxable gifts.

The facts are the same as in Estate Tax Example 3 and the estate tax is computed using the Algebraic method. In the example below, the letter “ F ” stands for the Federal estate tax, the letter “ S ” stands for the state transfer tax, and 0.30 equals the percentage passing to the qualified charity, 0.16 equals the highest state estate tax rate, and 0.048 equals the product that is the result of multiplying the charitable percentage, 0.30, times the highest tax rate, 0.16, or 0.30 x .16 = 0.048.

1) Distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) S

Federal estate tax ....F 0.00 + (F + S)

Net residue $100,000,000.00 - (F + S)

Times: Percentage to charity x 0.30

Charitable deduction in terms of F and S $30,000,000.00 - 0.30(F + S)

2) Computation of state death tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Charitable deduction 30,000,000.00 - 0.30(F + S)

State death tax deduction 0.00 30,000,000.00 - 0.30(F + S)

Taxable estate for state $70,000,000.00 + 0.30(F + S)

Plus: Adjusted taxable gifts (if applicable) 0.00

State taxable interests $70,000,000.00 + 0.30(F + S)

Minus: Gross amount below marginal tax rate 10,000,000.00

Amount subject to marginal state tax rate $60,000,000.00 + 0.30(F + S)

Times: Marginal state tax rate x 0.16

Product $9,600,000.00(F + S)

Plus: Addition to marginal tax 588,512.00

State death tax in terms of F and S $10,188,512.00 + 0.048(F + S)

3) Solve for S S = $10,188,512.00 + 0.048(F + S)

a) Eliminate brackets by multiplication S = $10,188,512.00 + 0.048F + 0.048S

b) Transpose to simplify equation S - 0.048S = $10,188,512.00 +0.048F

c) Consolidate the S term: 0.952S = $10,188,512.00 + 0.048F

d) Divide both side of the equation by the decimal

coefficient (0.952):

0.952S = $10,188,512.00 + 0.048F

0.952 0.952

e) This yields a value for the state death tax

expressed in terms of F: S = $10,702,218.49 + 0.050420168F

20

Estate and Gift Tax Interrelated Computations

4) Solve for charitable deduction

a) Charitable deduction = $30,000,000.00 - 0.30(F + S)

b) Substitute the expression for the estate death tax: Charitable deduction = $30,000,000.00 - 0.30 (F + ($10,702,218.49 + 0.050420168F))

c) Consolidate F terms Charitable deduction = $30,000,000.00 - 0.30 (1.050420168F + $10,702,218.49)

d) Eliminate brackets by multiplication Charitable deduction = $30,000,000.00 - 0.315126050F - $3,210,665.55

e) Consolidate the equation: Charitable deduction = $26,789,334.45 - 0.315126050F

5) Computation of Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Charitable deduction 26,789,334.45 -0.315126050F

State death tax deduction 10,702,218.49 + 0.050420168F 37,491,552.94 - 0.264705882F

Taxable estate $62,508,447.06 + 0.264705882F

Plus: Adjusted taxable gifts 20,000,000.00

Taxable interests $82,508,447.06 + 0.264705882F

Times: Marginal rate from Table A, Column D x 0.40

Product $33,003,378.82 + 0.105882353F

Minus: Subtractive term from Table A, Column E 54,200.00

Tax on taxable interests $32,949,178.82 + 0.105882353F

Minus: Total gift tax paid or payable 5,828,000.00

Gross estate tax $27,121,178.82 + 0.105882353F

Minus: Allowable applicable credit amount 4,577,800.00

Net Federal estate tax in terms of F $22,543,378.82 + 0.105882353F

6) Solve for F F = $22,543,378.82 + 0.105882353F

a) Transpose to simplify the equation: F - 0.105882353F = $22,543,378.82

b) Consolidate the F terms: 0.894117647F = $22,543,378.82

c) Divide both sides of the equation by the decimal

coefficient (0.894117647):

0.894117647F = $22,543,378.82

0.894117647 0.894117647

d) This yields the Federal tax: F = $25,212,989.47

7) Determination of state death tax

S = $10,702,218.49 + 0.050420168F

S = $10,702,218.49 + 0.050420168($25,212,989.47)

S = $10,702,218.49 + $1,271,243.16

S = $11,973,461.65

Estate and Gift Tax Interrelated Computations

21

Proof

1) Distribution of estate

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Bequests 0.00

State death tax (Formula) 11,973,461.65

Federal estate tax 25,212,989.47 37,186,451.12

Net residue $62,813,548.88

Times: Percentage to charity x 0.30

Charitable deduction $18,844,064.66

2) Computation of Federal estate tax

Total gross estate $100,000,000.00

Minus: Debts and expenses $0.00

Charitable deduction 18,844,064.66

State death tax deduction 11,973,461.65 30,817,526.32

Taxable estate $69,182,473.68

Plus: Adjusted taxable gifts 20,000,000.00

Taxable interests $89,182,473.68

Minus: Bracket from Table A, Column A 1,000,000.00

Remainder $88,182,473.68

Times: Marginal rate from Table A, Column D x 0.40

Product $35,272,989.47

Plus: Tax on bracket from Table A, Column C 345,800.00

Tax on taxable interests $35,618,789.47

Minus: Total gift tax paid or payable 5,828,000.00

Gross estate tax $29,790,789.47

Minus: Allowable applicable credit amount 4,577,800.00

Net estate tax $25,212,989.47

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