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anyewumian · 2021年03月20日

老师能够详细解释一下这道题吗

NO.PZ2016082402000033

问题如下:

Consider a bearish option strategy of buying one $50 strike put for $7, selling two $42 strike puts for $4 each, and buying one $37 put for $2. All options have the same maturity. Calculate the final profit per share of the strategy if the underlying is trading at $33 at expiration.

选项:

A.

$1 per share

B.

$2 per share

C.

$3 per share

D.

$4 per share

解释:

ANSWER: B

Because the final price is below the lowest of the three strike prices, all the puts will be exercised. The final payoff is ($50-$33)-2($42-$33)+($37-$33) =$17- $18 +$4 = $3. From this, we have to deduct the up-front cost, which is-$7+2($4)-$2=-$1. The total profit is then, ignoring the time value of money, $3-$1=$2 per share.

老师能够详细解释一下这道题吗

1 个答案

品职答疑小助手雍 · 2021年03月20日

嗨,努力学习的PZer你好:


首先33低于所有的行权价了,所以所有的看跌期权都行权了。那就一个一个期权的算收益就行了。

买50的看跌行权赚50-33=17元,卖2个42行权的看跌别人行权亏(42-33)*2=18元,买37行权的看跌行权赚37-33=4元。所有期权行权的收益净额就是17-18+4=3元。

然后买卖这些期权花费是:花7元,收4*2=8元,花2元,合计花了7-8+2=1元。

花1元,收益3元,所以利润是2元。

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