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PoppyHu · 2020年07月06日

问一道题:NO.PZ2016031002000077

问题如下:

The current annual spot rates are showed below: 1 year = 2%, 2 years = 2.5%, 3 years = 3.5%, 4 years = 5.5%. What's the two-year forward rate two years into the future?

选项:

A.

6.6%.

B.

8.6%.

C.

10.6%.

解释:

B is correct.

The forward rate is [ 1.0554 / 1.0252]1/2−1=8.6%.

你好,想問問爲什麽T是1/2、0.5呢?

1 个答案

吴昊_品职助教 · 2020年07月06日

(1+S2)^2×[1+f(2,2)]^2=(1+S4)^4

将spot rate代入上式,得:(1.025)^2×[1+f(2,2)]^2=(1.055)^4

f(2,2)= [(1.055)^4 / (1.025)^2]^(1/2)−1=8.6%.