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snow1597 · 2021年04月06日

No.PZ2018122701000069 (选择题)

Model 1 has a no-drift assumption. Using this model, if the current short-term interest rate is 6%, annual volatility is 100bps, and dw is a normally distributed random variable with mean equals zero and standard deviation root of dt of zero as its expected value. One month later, the realization of dw is -0.4. What is the change in the spot rate and the new spot rate?


dr = σ dw

dr = 1% x (-0.4) = -0.4% = -40 basis points


這道題目直接給出了dw=-0.4,不需要計算dw = Ƹ * root of dt(默認Ƹ=1),是因為Ƹ不為1了嗎?



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小刘_品职助教 · 2021年04月06日

嗨,从没放弃的小努力你好:


同学你好,

是因为题目中说了dw is a normally distributed random variable with mean equals zero and standard deviation \sqrt{dt}

dt of zero as its expected value,所以已经是计算之后的结果了。

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努力的时光都是限量版,加油!

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