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jvniki · 2022年12月01日

No.PZ2017092702000095 (选择题)

NO.PZ2017092702000095

问题如下:

A call option on a stock index is valued using a three-step binomial tree with an up move that equals 1.05 and a down move that equals 0.95. The current level of the index is $190, and the option exercise price is $200. If the option value is positive when the stock price exceeds the exercise price at expiration and $0 otherwise, the number of terminal nodes with a positive payoff is:

选项:

A.

one.

B.

two.

C.

three.

解释:

A is correct.

Only the top node value of $219.9488 exceeds $200

题目中哪里确定的是 两层,即 先按照1.05 和0.95 先得到一层,然后再根据当前值 *1.05 得到了第三层的数据,就是怎么看出来第三层是terminal数据。

1 个答案

星星_品职助教 · 2022年12月01日

同学你好,

题干中说明“ using a three-step binomial tree”。所以价格从current level $190开始,需要变化三期,最后的一期即第三期就是terminal

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