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Terry · 2021年03月02日

公式这里没理解

* 问题详情,请 查看题干

NO.PZ201511200300000705

问题如下:

5. If Motelli’s current investment account of €250,000, has a cost basis of €175,000, and is invested in an investment which is expected to earn a return of 7.5 percent, all of which are deferred capital gains, what is his expected after tax accumulation in 15 years?

选项:

A.

€673,247.

B.

€683,247

C.

€690,747.

解释:

B is correct.

The after tax wealth accumulation for deferred capital gains is

FVIFcg = (1 + r)n(1–tcg) + tcg–(1–B)tcg

FVIFcg = €250,000×[(1+0.075)15(1–0.1)+0.1–(1–0.70)(0.10)] =€683,247

FVIFcg = (1 + r)n(1–tcg) + tcg–(1–B)tcg


这个公式中, 中间加的tcg怎么理解啊?

1 个答案
已采纳答案

王暄_品职助教 · 2021年03月03日

由于本题有cost basis,所以:

公式这里的1变成cost basis,那么本题的B=175000/250000=0.7


那么答案里给出的FVIFcg = (1 + r)n(1–tcg) + tcg–(1–B)tcg,其实就是(1 + r)n-[(1+R)n-B]*tcg的一个变型。

同学直接按照我给你的公式来算就行,好理解。