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shashankar · 2023年12月13日

题库题目

NO.PZ2020021204000017

问题如下:

The six-month, 12-month, 18-month, and 24-month zero rates are 5%, 5.5%, 6%, and 6.5%, what are the (semi-annually compounded) forward rates for a six-month periods beginning in six, 12, and 18 months?

选项:

解释:

The forward rates are

2 X ( 1.02752 /1.025-1) = 0.060012

2 X ( 1.033 /1.02752- 1) = 0.070037

2 X ( 1.03254 /1.033 - 1)= 0.080073

If all rates were continuously compounded, the forward rates would be 6%, 7%, and 8%. Because we are dealing with a semi-annually compounded rate, they are slightly different: 6.0012%, 7 .0037%, and 8.0073%.


问题:为什么可以判断题干给的条件,即The six-month, 12-month, 18-month, and 24-month zero rates are 5%, 5.5%, 6%, and 6.5%, 这些 zero rates也是semi-annually compounded,我看题目的意思并没有指出这些是semi-annually compounded,只是说forward rate是semi-annually compounded

1 个答案

品职答疑小助手雍 · 2023年12月14日

同学你好,每半年进行一次复利是一个计算的方式(可以理解为题目就是要求这样计算)。

这个条件既然题目问的是让算每半年复利一次的forward rate,那就拿着zero rate按照半年复利进行计算就好了。

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