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Vicky2019 · 2020年02月08日

问一道题:NO.PZ2016022702000001

问题如下:

Which forward rate cannot be computed from the one-, two-, three-, and four-year spot rates? The rate for a:

选项:

A.

one-year loan beginning in two years.

B.

two-year loan beginning in two years.

C.

three-year loan beginning in two years.

解释:

C is correct.

There is no spot rate information to provide rates for a loan that terminates in five years. That is f(2,3) is calculated as follows:

f(2,3)=[1+r(5)][1+r(2)]2531f(2,3)=\sqrt[3]{\frac{\lbrack{1+r(5)}\rbrack}{{\lbrack{1+r(2)}\rbrack}^2}^5}-1

The equation above indicates that in order to calculate the rate for a three-year loan beginning at the end of two years you need the five year spot rate r(5) and the two-year spot rate r(2). However r(5) is not provided.

第五年的spot rate是可以通过s1,s2,s3,s4算出来的吧,如果这样,那c选项是不是应该也可以算出来呢?

1 个答案

吴昊_品职助教 · 2020年02月09日

嗨,努力学习的PZer你好:


第五年的spot rate无法从S1,S2,S3,S4中算得。即期利率和远期利率之间可以相互推导,即期利率之间无法彼此推导。


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