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zyh9479 · 2022年03月02日

题干中并没有说明drift是annual drift,为何解析中0.48%要除以4

NO.PZ2020033001000094

问题如下:

Vincent is forecasting spot rate changes via short rate term structure models. The current short-term interest rate is 6% with a volatility of 100bps.dw, a normally distributed random variable with mean 0 and standard deviation dt\sqrt{dt}, is -0.5 after one quarter passes. Assume a constant interest rate drift, λ, of 0.48%. What is the new spot rate?

选项:

A.

5.37%.

B.

5.62%.

C.

5.76%.

D.

4.24%

解释:

B is correct.

考点:Model 2

解析:

Using Model 2 (with constant drift). The change in the spot rate is computed as:

dr = λ dt + σ dw

dr = (0.48% /4) + (1% x -0.5) = -0.38%

The new spot rate in one quarter is:

6% - 0.38% = 5.62%

Vincent is forecasting spot rate changes via short rate term structure models. The current short-term interest rate is 6% with a volatility of 100bps.dw, a normally distributed random variable with mean 0 and standard deviation \sqrt{dt}

dt



​, is -0.5 after one quarter passes. Assume a constant interest rate drift, λ, of 0.48%. What is the new spot rate?

选项:

A.

5.37%.

B.

5.62%.

C.

5.76%.

D.

4.24%

解释:

B is correct.

考点:Model 2

解析:

Using Model 2 (with constant drift). The change in the spot rate is computed as:

dr = λ dt + σ dw

dr = (0.48% /4) + (1% x -0.5) = -0.38%

The new spot rate in one quarter is:

6% - 0.38% = 5.62%


1 个答案

DD仔_品职助教 · 2022年03月02日

嗨,努力学习的PZer你好:


同学你好,

我们一般认为λ给出的都是年化的,这里除4,其实是相当于乘1/4,因为题目说one quarter passes,代表dt是1/4年。

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努力的时光都是限量版,加油!

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