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刘同学2020-01-27 19:22:08

A put option with an exercise price of 80 will expire in 73 days. No cash payments will be made by the underlying asset over the life of the option. If the underlying asset is at 75 and the risk-free rate of return is 5.0 percent, what are the lower bounds for an American put option and a European put option, respectively, closest to: A for an American put option is 4.22; for a European put option is 5.00. B for an American put option is 5; for a European put option is 4.22. C for an American put option is 4.22; for a European put option is 4.22. 这个题解答下

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Danyi2020-01-31 19:01:18

同学你好,
这道题问我们的是美式和欧式看跌期权的lower bound分别是多少。 
我们知道 payoff of European put option=Max(0, X-St), X-St=80/1.05^(73/365)-75=4.22,所以Max(0, X-St)=Max(0,4.22)=4.22
美式看跌可以提前行权,不需要等到期末,所以不折现的情况价值更大,Max(0, X-St)=Max(0, 80-75)=5

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