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hjk · 2023年03月13日

请问这题再考什么?

NO.PZ2020011901000080

问题如下:

A trader thinks that the price of a stock currently priced at USD 70 will increase. The trader is trying to choose between buying 100 shares and buying European call options on 1,000 shares. The options cost USD 7 per option and have a strike price of USD 70 with a maturity of six months.

What is the breakeven stock price for which the two strategies give the same result? (Ignore the impact of discounting.)

选项:

解释:

We require

100(ST - 70) = 1,000(ST - 70) - 7,000

or

900ST = 70,000

The breakeven stock price is therefore 70,000/900 or 77.78.

A trader thinks that the price of a stock currently priced at USD 70 will increase. The trader is trying to choose between buying 100 shares and buying European call options on 1,000 shares. The options cost USD 7 per option and have a strike price of USD 70 with a maturity of six months.

What is the breakeven stock price for which the two strategies give the same result? (Ignore the impact of discounting.)

1 个答案

pzqa27 · 2023年03月13日

嗨,努力学习的PZer你好:


题目说这个人现在有2种选择,第一是买入100个股票。第二是买入option,这个option可以让我们按70元的单价买入1000股,然后题目问我们,股价未来到多少钱的时候,这俩策略的结果一样。那就算一算好了,假设股价涨到X元时2个策略的结果一样

那么第一个策略的profit是(x-70)*100,第二种策略的profit是[max(x-70,0)]*1000-7*1000.然后让这俩等式相同解X即可

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