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一颗自然卷 · 2018年06月02日

问一道题:NO.PZ2017092702000009 [ CFA I ]

问题如下图:

选项:

A.

B.

C.

解释:

不太能理解最后一步为何要再求一次PV

2 个答案

源_品职助教 · 2018年06月03日

a/r=2/1.5=1.333333 ,这个PV是时间点在第一笔现金流前一期的PV。如果第一笔现金流发生在T=1时刻,那么这就是T=0时刻的PV,如果第一笔现金流发生在T=5时刻,那么这就是第4年的PV。

你可以这样想一笔永续年金从明年开始给你钱,和从未来第五年开始给你钱,这两者的价值是绝对不等的。

源_品职助教 · 2018年06月02日

第一步用计算器计算PV,计算其后付年金模式下计算的PV时间点发生在第一笔现金流的前一期。本题中用计算器所得第一步PV就在T=4时刻。所以第二步还需要再往前折现,折现4期即可求得当前时刻T=0时刻的现值。

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