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圣灵霜子 · 2020年10月14日

问一道题:NO.PZ2018091705000021 [ CFA III ]

问题如下:

Allen is an investment manager, who recently recruited a new customer, Polly. Polly invested $100,000 in an asset for 20 years that promises to offer an annual interest of 8% before tax without any capital gain. But the investment account is expected to be taxed 15% annually. Calculate the post-tax return on the investment after 20 years later.

选项:

A.

$383,121.09

B.

$372,756.35

C.

$339,092.56

解释:

B is correct.

考点Accrual Taxation

解析根据Accrual taxes的公式可得

FVAT=PV[1+R(1T)]N=100,000×(1+8%(115%))20=372,756.35FV_{AT}=PV{\lbrack1+R(1-T)\rbrack}^N=100,000\times{(1+8\%{(1-15\%)})}^{20}=372,756.35

请问题目中问的不是20年后的return吗?为什么不需要减去本金100000呢?
1 个答案
已采纳答案

王暄_品职助教 · 2020年10月15日

嗨,努力学习的PZer你好:


同学你好,这题是问题问的不好,应该改成:Calculate the post-tax value of the account in 20 years

谢谢同学指出!


-------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!


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