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hillock1122 · 2021年01月17日

问一道题:NO.PZ2020033001000071 [ FRM II ]

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.

关于Gaps和Floors这里首先我没有理解,其次在基础班讲义中183页例题说的是Ho-Lee具有这个特点,这道题的解释部分说的是Model3,已经晕了…

1 个答案

袁园_品职助教 · 2021年01月19日

同学你好!

interest rate caps and floors 就是利率的 call 和 put,有caps或者floors的话每期的交割金额是要像期权一样计算的(超过cap和或者低于floor的概率之类的)。解析里的意思是:time-dependent volatility model 假设每期的波动率不一样,就会对每期的cap和floor的发生概率和payment有不一样的评估。这样比constant volitility假设的每期波动率一样要更灵活。

解析里说的 Time-dependent volatility models 和 老师上课讲的 Ho Lee Model ( Time-dependent drift models ) 都考虑了时间变化因素,所以都是适合的

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