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cenwandada · 2024年08月01日

B也有道理吧,为啥不选b

NO.PZ2023100703000096

问题如下:

A hedge fund risk manager plans to adopt an interest rate term structure model whose risk neutral dynamics display mean reversion and a time-varying drift and consider Vasicek model as one of the candidates. Which of the following is correct about the Vasicek model?

选项:

A.It gives rise to a downward-sloping term structure of volatility and allows for a time dependent drift.

B.The short-term rates tend toward a long run equilibrium value and the expected value of the change in short-term rates is always zero over time.

C.Shocks to short-term rates affect all rates equally, giving rise to parallel shifts.

D.There is no mean reversion and the risk premium corresponds to a constant drift in Vasicek model.

解释:

The Vasicek model incorporates mean reversion. The flexibility of the model also allows for risk premium, which enters into the model as constant drift or a drift that changes over time. In a model with mean reversion, shocks to the short rate affect short term rates more than longer-term rates and give rise to a downward-sloping term structure of volatility. B is incorrect as the drift of Vasicek model is not always zero. C is incorrect because shocks to the short rate affect short-term rates more than longerterm rates as Vasicek model comes with mean reversion. D is incorrect. The Vasicek model incorporates mean reversion. The flexibility of the model also allows for risk premium, which enters into the model as a constant drift or a drift that changes over time.

B也有道理吧,为啥不选b

1 个答案

品职答疑小助手雍 · 2024年08月01日

同学你好,B错在后半句,它每期的变化的期望不是0。

Vmodel后半段的波动项期望是0 ,但是前面的drift项只要前一期利率不等于长期期望的均值,drift项的值就会不是0。

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