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xiaoe · 2024年07月27日

这个题啥意思

NO.PZ2023041003000038

问题如下:

Because Newport has indicated that its goal is to pay a maximum interest rate of 1.25% on the loan, we could also use interest rate put and call options. I believe the binomial model can be used to value interest rate options. Exhibit 1 shows the current interest rate information.”

Based on the information shown in Exhibit 1 and using a two-step binomial model to value the current at-the-money interest rate call option, the value of the underlying instrument at Node 0 would most likely be:

选项:

A.

1.25%.

B.

1.15%.

C.

1.00%.

解释:

When using the two-period binomial model to value interest rate options, the value of the underlying instrument at Node 0 is the spot rate. The spot rate (and the at-the-money strike price) is the current Libor rate of 1.00%.

B is incorrect. The value of the underlying instrument is the spot rate, not the forward rate.

A is incorrect. The value of the underlying instrument is 1.00%; 1.25% is the client’s upper tolerance bound.

这个题啥意思

1 个答案

李坏_品职助教 · 2024年07月27日

嗨,从没放弃的小努力你好:


题目的背景是用两阶段二叉树模型,去对平值的利率看涨期权进行定价。最后问你0时刻的标的物(期权的标的物也就是利率)是多少?就是问你期初的利率是多少。


利率期权的标的物应该看spot rate,所以利率是1%这个数。

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