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shihong · 2022年02月15日

二阶二叉树

NO.PZ2020021205000058

问题如下:

A stock price is currently 50. Its volatility is 20% per annum. The risk-free rate is 4% per annum with continuous compounding. value an option that pays off max(S2S^2 - 2,400, 0) in six months where S is the stock price. (This is known as a power option.)

解释:

For the power option, the tree becomes as follows, and the value of the option is 408.363.

解析:

power option是一种奇异期权叫做幂期权,他与一般的期权的区别在于,在T时刻,看涨幂期权的价值=max{0,Sn -X},而不是max{0,S-X}。该期权简单了解即可。

对于本题的这个幂期权,其价值=max{S2 -X,0}。具体的二叉树如下:


老师,从题目怎么看出来是二阶的二叉树?还是说幂期权定价默认是二阶

1 个答案

品职答疑小助手雍 · 2022年02月15日

同学你好,题目确实没说。

不过常规来说,一阶太容易,三阶太复杂,考试一般是考二阶的(也有考一阶的)。

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NO.PZ2020021205000058问题如下A stopriis currently 50. Its volatility is 20% per annum. The risk-free rate is 4% per annum with continuous compounng. value option thpays off max(S2S^2S2 - 2,400, 0) in six months where S is the stoprice. (This is known a power option.) For the power option, the tree becomes follows, anthe value of the option is 408.363.解析power option是一种奇异期权叫做幂期权,他与一般的期权的区别在于,在T时刻,看涨幂期权的价值=max{0,Sn -X},而不是max{0,S-X}。该期权简单了解即可。对于本题的这个幂期权,其价值=max{S2 -X,0}。具体的二叉树如下 1、老师好,这道题的u(p)和1-p)分别是多少啊?2、红色方框是前往前折现再乘以对应的概率吗?3、折现的利率,折现到0.25段儿是4%乘以0.25,去年化?我计算两个红色方框折现再乘以概率是744,不是738耶4、标准差20%也要去年化吗?还是20%*0.25^0.5就行?

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