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胖胖 · 2023年10月06日

Decrease volatility

NO.PZ2023040701000065

问题如下:

Pedu’s chief economist recently distributed an interest rate forecast stating that interest rate volatility is expected to decrease. Krishnan considers the impact of these expected changes on the values of the bonds in Exhibit 1.

If interest rate volatility changes in the way predicted in the chief economist's interest rate forecast, which bond described in Exhibit 1 will most likely experience the largest decrease in price?

选项:

A.

Bond A

B.

Bond C

C.

Bond B

解释:

Correct Answer: B

The value of a straight (option-free) bond (Bond A) does not change when interest rate volatility changes. The value of the callable bond (Bond B) is equal to the value of the otherwise identical straight bond minus the value of the call option. The value of the putable bond (Bond C) is equal to the value of the otherwise identical straight bond plus the value of the put option. The values of the put and call options decrease when interest rate volatility decreases, so the value of the callable bond will increase and the value of the putable bond will decrease.



putable bond --> 不是更低的价钱取不到, 为什么答案是 putable, shouldn't it be callable?

1 个答案

pzqa31 · 2023年10月07日

嗨,爱思考的PZer你好:


Vcallable=Voption free-V option

Vputable=Voption free+V option。

如果波动率下降,那么Voption下降,Vputable应该下降了,Vcallable应该是上涨了。

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