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Roseline · 2021年04月15日

Time dependent drift和Time dependent volatility是不是都可以用来price interest rate caps and floor

NO.PZ2020033001000071

问题如下:

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

Aria: Time-dependent drift 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 drift 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.

老师好,看了之前其他同学的类似提问,三三老师的回答是time-dependent volatility model更适合来算interest rate的cap 和 floor。但是对比基础班讲义第183页的例题,选项C,也提到了Time dependent drift model可以用来计算interest rate的cap 和 floor,因此我理解两个模型都可以用来算cap和floor吧?


1 个答案

品职答疑小助手雍 · 2021年04月16日

嗨,从没放弃的小努力你好:


可以是都可以的,只是相对来说,灵活性上有差异。而且这个灵活性上不是指Time dependent drift model和time-dependent volatility model之间的对比。

她解释的主要是指在波动性这块的假设上,time-dependent volatility model灵活性比constant volatility的模型灵活性高。

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