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KKII · 2024年12月19日

The investment using deferred taxation grows to FV计算问题

NO.PZ2024101802000016

问题如下:

An investor plans to invest GBP50,000 in an investment opportunity expected to generate a return of 8% per year, which is taxed as a deferred capital gain only after 10 years. The tax rate is 20%. Compare the impact of taxes on the after-tax return relative to if taxes were paid annually at a 20% rate.

选项:

解释:

The investment using deferred taxation grows to FV = GBP50, 000[(1 + 0.08)^10 − [(1 + 0.08)^10 − 1] × 0.20]=96,355

The investment using annual taxation grows to FV = GBP50, 000 × [1 + 0.08 × (1 − 0.20)]^10=92979

The deferred taxation provides a higher accumulation of GBP3,376

The investment using deferred taxation grows to FV = GBP50, 000[(1 + 0.08)^10 − [(1 + 0.08)^10 − 1] × 0.20]=96,355


我这边计算出来是96357,跟答案解析的数差2


考试遇到这种情况怎么办? 到底用哪个数? 另外这种小数点问题导致的结果差异,小幅偏离会得0分吗

1 个答案

费费_品职助教 · 2024年12月19日

嗨,从没放弃的小努力你好:


同学你好

考试时候把公式写好,代入数字,最终答案会因为每一步小数点的取舍差异有点区别,没有关系的。



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