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洁1017 · 2024年07月21日

是否可以通过表达式推导的方式进行分析?

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NO.PZ202301041000002103

问题如下:

The Gondos meet with their investment advisor to determine the optimal way to accomplish some specific bequests. The Gondos seek to transfer a sum of EUR 150,000 to Emma’s cousin Erica, for the benefit of Erica’s son. Erica and her son live in the same country as the Gondos, and Erica is subject to a lower income tax rate than the Gondos. The investment advisor assumes that Erica’s pre-tax investment returns on any gifted assets would be equal to the Gondos, and that Erica’s estate will not be subject to estate tax. The country’s annual gift exclusion allowance is EUR 30,000, with no lifetime limit. Any gifts over the exclusion allowance are taxed to the donor at a flat rate of 40%. The advisor recommends the Gondos make an annual gift of EUR 30,000 to Erica over the next five years, rather than transferring wealth to her upon Emma’s death.

Justify, with two reasons, why tax considerations favor the Gondos making annual gifts to Erica.

选项:

解释:

Tax considerations favor the Gordon making annual gifts for the following reasons:

By making annual gifts of EUR 30,000 over the next five years, the Gondos and Erica can avoid paying gift taxes.

Since Erica’s income tax rate is lower than that of the Gondos and her pre-tax investment returns are assumed to be the same as that of the Gondos, the future after-tax value of any gifted amount will be greater than if this amount stayed in the Gondos’ estate.

The value of the Gondos’ taxable estate is lowered as a result of the annual gifts. Since it is assumed that Erica’s estate will not be subject to estate tax, the gifts further reduce any future estate taxes for the Gondos.

老师,正式考试时,能否根据题意写出表达式,再结合题意进行分析?如下回答:

According to the recommendation from the advisor, the functions for transfering by gifts and bequests can be showed as follows:

The gifts: 

[150,000-(150,000-30,000)×40%]×[1+r×(1-TaxErica)]^n

=(150,000×60%+12,000)×[1+r×(1-TaxErica)]^n

The bequests:

150,000×[1+r×(1-TaxGondos)]^n×(1-40%)

=(150,000×60%)×[1+r×(1-TaxGondos)]^n


It shows that the estate value of gifts is greater than that of the bequests due to an annual allowance of 30,000 with regard to the gifts, leading to an excess value 12000 to the annual investment capital. By realistic explanation, some of estate taxes is deducted by the allowance annually, giving rise to an increase to the estate value over the next five years.


Given as the TaxErica<TaxGondos and pre-tax investment returns are equal, it can be seen that the investment returns accumulated by Erica is much more in a way of lifetime gifts.


As a result, transfering by lifetime gifts using annual allowance over next five years is most tax efficient way for Gondons and Erica.

1 个答案

王暄_品职助教 · 2024年07月21日

您好,完全可以的

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NO.PZ202301041000002103 问题如下 The Gons meet with their investment aisor to termine the optimwto accomplish some specific bequests. The Gons seek to transfer a sum of EUR 150,000 to Emma’s cousin Ericfor the benefit of Erica’s son. Erianher son live in the same country the Gons, anEriis subjeto a lower income trate ththe Gons. The investment aisor assumes thErica’s pre-tinvestment returns on any gifteassets woulequto the Gons, anthErica’s estate will not subjeto estate tax. The country’s annugift exclusion allowanis EUR 30,000, with no lifetime limit. Any gifts over the exclusion allowanare taxeto the nor a flrate of 40%. The aisor recommen the Gons make annugift of EUR 30,000 to Eriover the next five years, rather thtransferring wealth to her upon Emma’s ath. Justify, with two reasons, why tconsirations favor the Gons making annugifts to Eric Tconsirationsfavor the Gorn making annugifts for the following reasons: • making annugifts of EUR30,000 over the next five years, the Gons anEricavoipaying gifttaxes.• SinErica’s income trateis lower ththof the Gons anher pre-tinvestment returns are assumeo the same thof the Gons, the future after-tvalue of any giftemount will greater thif this amount stayein the Gons’ estate.• The value of the Gons’taxable estate is lowerea result of the annugifts. Sinit is assumehErica’s estate will not subjeto estate tax, the gifts further receany future estate taxes for the Gons. 答案的理由中有一条不是特别清楚The value of the Gons’ taxable estate is lowerea result of the annugifts. Sinit is assumethErica’s estate will not subjeto estate tax, the gifts further reany future estate taxes for the Gons.请问【 Erica’s estate will not subjeto estate tax】这个条件,对于gift和bequest来说有什么区别呢?

2024-07-04 23:33 2 · 回答