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中二 · 2020年02月15日

问一道题:NO.PZ2016070201000071 [ FRM II ]

问题如下:

Regarding the validity of time-dependent drift models, which of the following statements is(are) correct?

i. Time-dependent drift models are flexible since volatility from period to period can change. However, volatility must be an increasing function of short-term rate volatilities.

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

选项:

A.

I only.

B.

II only.

C.

Both I and II.

D.

Neither I nor II.

解释:

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.

我想问一下解析里多钱“constant short term rate volatilities between periods”怎么理解呢?63题中,不是还提到V model的volatility是decresing的吗?解析所说的constant是指?

1 个答案

orange品职答疑助手 · 2020年02月15日

同学你好,between periods 是期间的意思,就是说,Time-dependent volatility models所假设的波动率会随时间的变化而变化,因此,无论市场上波动率是上行、下行还是不变,它都能去刻画。

V model是因为它假设利率会均值覆归,所以波动率会下降。