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吴祎博 · 2020年12月16日

问一道题:NO.PZ2018091705000048

问题如下:

Clara would like to transfer wealth ($1 million) to his son Aaron. The lifetime gift is taxable and tax rate is 30%, which is paid by donee. Alternatives, $1 million could be transferred as a bequest 10 years from today, the inheritance tax rate is 50%.

In addition, Clara is subject to 30% investment income tax rate, and Aaron is subject to lower investment income rate, which is 20%. They have the same pre tax return of 8%.

The relative after-tax future value of the taxable gift compared to the bequest is

选项:

A.

1.67

B.

2.16

C.

1.51

解释:

C is correct.

考点taxable gift的计算

解析RVtaxableGift=FVGiftFVBequest=[1+0.08(10.20)]10(10.30)[1+0.08(10.30)]10(10.50)=1.30170.8622=1.51RV_{taxableGift}=\frac{FV_{Gift}}{FV_{Bequest}}=\frac{{\lbrack1+0.08(1-0.20)\rbrack}^{10}(1-0.30)}{{\lbrack1+0.08(1-0.30)\rbrack}^{10}(1-0.50)}=\frac{1.3017}{0.8622}=1.51

这个题干中说是tax on donor,为什么不能用第三个RV(taxed on donor)公式计算,而本题答案中显示的是使用了第二个RV公式(taxed on recipient)呢?

1 个答案

王暄_品职助教 · 2020年12月16日

同学看我下面画横线的地方,题目说的是paid by donee

Clara would like to transfer wealth ($1 million) to his son Aaron. The lifetime gift is taxable and tax rate is 30%, which is paid by donee. Alternatives, $1 million could be transferred as a bequest 10 years from today, the inheritance tax rate is 50%.

吴祎博 · 2020年12月21日

好的,谢谢!

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2.16 1.51 C is correct. 考点taxable gift的计算 解析 RVtaxableGift=FVGiftFVBequest=[1+0.08(1−0.20)]10(1−0.30)[1+0.08(1−0.30)]10(1−0.50)=1.30170.8622=1.51RV_{taxableGift}=\frac{FV_{Gift}}{FV_{Bequest}}=\frac{{\lbrack1+0.08(1-0.20)\rbrack}^{10}(1-0.30)}{{\lbrack1+0.08(1-0.30)\rbrack}^{10}(1-0.50)}=\frac{1.3017}{0.8622}=1.51RVtaxableGift​=FVBequest​FVGift​​=[1+0.08(1−0.30)]10(1−0.50)[1+0.08(1−0.20)]10(1−0.30)​=0.86221.3017​=1.51这道题不是由nor交税吗?根据公式算出来是1.833啊

2020-12-17 15:06 3 · 回答

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2020-11-03 12:08 1 · 回答

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2020-07-31 09:35 2 · 回答

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