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Anna · 2024年11月09日

s顺序会影响bootstrapping结果吗

NO.PZ2023040701000011

问题如下:

Tyo asks her assistant how these spot rates were obtained. The assistant replies, “Spot rates are determined through the process of bootstrapping. It entails backward substitution using par yields to solve for zero-coupon rates one by one, in order from latest to earliest maturities.”

Did Tyo’s assistant accurately describe the process of bootstrapping?

选项:

A.

Yes

B.

No, with respect to par yields

C.

No, with respect to backward substitution

解释:

Correct Answer: C

The assistant states that bootstrapping entails backward substitution using par yields to solve for zero-coupon rates one by one, in order from latest to earliest maturities. Bootstrapping entails forward substitution, however, using par yields to solve for zero-coupon rates one by one, in order from earliest to latest maturities.

这里的backward和从latest to earliest,顺序的变化会影响bootstrapping最后的结果吗?

1 个答案

吴昊_品职助教 · 2024年11月10日

嗨,努力学习的PZer你好:


这道题的考点是bootstrapping。助理说:即期利率是通过bootstrapping决定的,是通过par rate从后往前一期一期推导而来的。

题目问的是上面这句话有没有错,前半句话没有问题,后半句话错在从后往前推导。因为bootstrapping是从前往后推的,我们知道par rate1=spot rate1,然后再根据par rate2推导spot rate2,以此类推。所以这道题选C。

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努力的时光都是限量版,加油!

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