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Sarah · 2021年01月02日

问一道题:NO.PZ2018122701000070 [ FRM II ]

问题如下:

In Model 2, if the current short-term rate is 5%, annual drift is 80bps, and short-term rate standard deviation is 3%. Besides, assume the ex-post realization of the dw random variable is 0.3. What is the interest rate in the middle node at the end of year 2 after a 2-period interest rate tree with annual periods is constructed?

选项:

A.

5.0%.

B. 5.8%.

C.

6.0%.

D.

6.6%.

解释:

D is correct.

考点:Model 2

解析:

r0 = 5%, λ = 0.8%, σ = 3%, dw = 0.3, dt =1

The tree will recombine to the following rate: r0 + 2 λdt.

5% + 2 x 0.8% x 1 = 6.6%

为什么dt=1 而不是2
1 个答案
已采纳答案

袁园_品职助教 · 2021年01月06日

同学你好!

因为题目中说了“ with annual periods is constructed ”

李老师课上有一道例题很类似,你可以再去听一下,在“The Art of Term Structure Models: Drift” 这个视频大约26分钟左右(1.5倍速)