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婷 · 2022年09月20日

strategy1和2都能获利,为什么2是错的

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NO.PZ202208100100000201

问题如下:

Are the strategies suggested by Dufu for Kadakia most likely correct?

选项:

A.

Yes, both strategies are correct.

B.

No, Strategy 1 is incorrect.

C.

No, Strategy 2 is incorrect.

解释:

Solution

C is correct. Strategy 1 is correct and Strategy 2 is incorrect. Given Kadakia’s expectations, the correct option strategy is a bear spread using calls. The bear spread can be implemented using call options or put options. In either case, it involves the purchase of the higher strike option and the sale of the lower strike option. Kadakia, however, has indicated that she would like to avoid a cash outlay. Given this constraint, the appropriate option strategy is to purchase November 120 call options and sell November 115 call options because doing so will result in an initial cash inflow of $5.40 – $2.70 = $2.70. Using put options would result in an initial cash outflow of $2.37 and a maximum profit of $2.63, which is less than the $2.70 maximum profit for the bear spread using calls. Net $2.63 if the stock falls below 115.

A is incorrect. Strategy 2 is incorrect because using put options would result in an initial cash outflow of $2.37.

B is incorrect. Strategy 1 is correct.

strategy1和2都能获利,题目没说要获利最大化,只是说成本最小,strategy2的成本不是更小?

1 个答案

Hertz_品职助教 · 2022年09月20日

嗨,努力学习的PZer你好:


同学你好

策略2相比于策略1并没有成本更小,是策略1的成本更小。

虽然像策略2中使用put option来构建也是可以的。但是可以计算到最后的成本是2.37美元(构建策略2,买put花掉了5.22美元,卖put收到了2.85美元,有一个净支出为2.37美元。)。

但是构建策略1呢,买call花掉了2.7美元;卖call收到了5.4美元,有一个净收入为2.7美元。

因此可以看到相比于策略2,策略1明显是更有优势的呀,所以策略1是合适的哈。

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努力的时光都是限量版,加油!

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