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小媛 · 2021年04月26日

没看懂

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

看不懂这是什么意思,
1 个答案

星星_品职助教 · 2021年04月26日

同学你好,

这道题考察二叉树的理解。题干相当于让求第三期二叉树的值,然后和200比较。

根据起初价格190,和向上为1.05,向下为0.95,可以逐次写出这三期二叉树的所有的值。

以第一期为例,上面一支为190×1.05=199.5;下面一支为190×0.95=180.5;二期三期以此类推,最后结果参照答案解析里的三期二叉树。

然后将第三期二叉树的四个结果和200比较即可。

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call option的相关概念会在衍生品里具体讲解,如果是对这里不理解,可以学完衍生品相应部分后再回头看看这道题。也可以就具体的概念进行追问。

-------------------------

如果对以上讲的感觉没有什么概念,可以去听一下截图的这个基础班视频的这个地方。

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