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eriko · 2024年02月04日

关于题目

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.)

选项:

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:


从哪里得出是二叉树?

1 个答案

品职答疑小助手雍 · 2024年02月05日

同学你好,这题给的条件其他学过的法子也没办法做,只能是二叉树了,至于为什么用二阶……因为常规都是用二阶的。

考试时候出的题目给的要求会清晰一些的,放心。

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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?

2024-06-27 12:22 1 · 回答

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 时间理解有很大的问题,请详细说下这个时间的变动到底如何判断。谢谢。请附上详细解题步骤。二叉树基本计算都错误,原理貌似简单,但是计算不对。

2023-03-06 01:29 1 · 回答

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 第一,这个期权要按欧式还是美式计算,第二,按看涨还是看跌,第三,是按二叉树的算法计算只是最后股价是s的平方,其他做法不变是吗?

2023-03-01 16:36 1 · 回答

NO.PZ2020021205000058 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

2022-02-15 16:14 1 · 回答