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梦梦 · 2024年10月04日

chooser option

NO.PZ2023091802000126

问题如下:

Assume a European chooser option where stock price is $10, strike price is $10, volatility is 20%, dividend yield is 0%, and risk-free rate is 4%. The choice can be made within the next six months (T1 = 0.5 year) and the option will expire in one year (T2 = 1.0 year). What is a synthetic (portfolio) equivalent to the chooser option?

选项:

A.

A call option with strike price 10 and maturity 1 year and a put option with strike price 9.80 and maturity 0.5 year.

B.

A call option with strike price 10 and maturity 0.5 year and a put option with strike price 9.80 and maturity 1 year.

C.

A put option with strike price 10 and maturity 1 year and a put option with strike price 9.80 and maturity 0.5 year.

D.

A put option with strike price 10 and maturity 0.5 year and a call option with strike price 9.80 and maturity 1 year.

解释:



老师好,不应该是一直持有一个看涨期权,没有看跌吗,因为max(0,-0.2)应该是0,还是我哪里算错了吗?

1 个答案
已采纳答案

pzqa39 · 2024年10月08日

嗨,从没放弃的小努力你好:


你这里直接把ST1当成10代进去了,但是ST1并不一定是10,题目给的是ST0是10。

这个式子是站在0时刻的角度去看,相当于是0时刻起就有一个看涨,在T1时刻要么就是一直看涨,要么就是再加上一个看跌,具体如何选择要看ST1是多少,这样我们才能知道0和后面那堆哪个大。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

梦梦 · 2024年10月08日

明白了,谢谢