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面猪登🐷💰💄✈️ · 2021年11月09日

老师,请问第一种说法

NO.PZ2020033001000071

问题如下:

Aria and Ben are discussing about time-dependent volatility models.

Aria: Time-dependent volatility models are flexible because volatility can change from period to period. And volatility must be an increasing function of short-term rate volatilities.

Ben: Time-dependent volatility functions are useful for pricing interest rate caps and floors.

Who is correct about the time-dependent drift models?

选项:

A.

Aria only.

B.

Ben only.

C.

Both Aria and Ben.

D.

Neither Aria nor Ben.

解释:

B is correct.

考点:Time-dependent volatility model

解析:

Time-dependent volatility models are very flexible and can incorporate increasing, decreasing, and constant short-term rate volatilities between periods. This flexibility is useful for valuing interest rate caps and floors because there is a potential payout each period, so the flexibility of changing interest rates is more appropriate than applying a constant volatility model.

Period to period 是不是GARCH EWMA  model,而这里是用interest to interest 
1 个答案

DD仔_品职助教 · 2021年11月09日

嗨,努力学习的PZer你好:


同学这里不是在考察GARCH和EWMA...这是非参数法计算VaR的内容

这道题考的是利率drift与期限的模型里的model3,如下图:

这个模型的特点是1:很flexible,短期利率的波动率可以增长、下降或不变;2:可以计算出利率的cap和floor

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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