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嗯 · 2023年08月17日

没太明白

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.

为什么利率二叉树0时刻的价值是spot rate

1 个答案
已采纳答案

Lucky_品职助教 · 2023年08月18日

嗨,努力学习的PZer你好:


对于二叉树求interest rate option,我们的标的资产是spot rate,比如我们在6个月到期的时候,是将执行利率与市场中的6个月的spot rate相比来判断是否执行。所以underlying instrument is spot rate,在t=0时刻,spot rate=1

拓展一下,BSM模型是无穷多期二叉树,所以BSM的标的资产也是spot rate

但是BLACK MODEL中用的是forward price。所以如果这一题问的是black model,它的underlying是FRA,就选 1.15%

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虽然现在很辛苦,但努力过的感觉真的很好,加油!