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qyang · 2021年04月01日

Could you use a graph to explain this quesition?

NO.PZ2017121101000021

问题如下:

Aline Nuñes, a junior analyst, works in the derivatives research division of an international securities firm. Nuñes’s supervisor, Cátia Pereira, asks her to conduct an analysis of various option trading strategies relating to shares of three companies: IZD, QWY, and XDF. On 1 February, Nuñes gathers selected option premium data on the companies, presented in Exhibit 1.

Nuñes considers two option strategies relating to XDF:

Strategy 7: Writing both the April €75.00 strike call option and the April €75.00 strike put option on XDF

Strategy 8: Writing the February €80.00 strike call option and buying the December €80.00 strike call option on XDF

Based on Exhibit 1, the maximum gain per share that could be earned if Strategy 7 is implemented is:

选项:

A.

€5.74.

B.

€5.76.

C.

unlimited.

解释:

B is correct.

Strategy 7 describes a short straddle, which is a combination of a short put option and a short call option, both with the same strike price. The maximum gain is €5.76 per share, which represents the sum of the two option premiums, or c0 + p0 = €2.54 + €3.22 = €5.76. The maximum gain per share is realized if both options expire worthless, which would happen if the share price of XDF at expiration is €75.00.

How to consider the profit or breakeven point for short straddle? Thanks!

1 个答案
已采纳答案

Hertz_品职助教 · 2021年04月01日

嗨,爱思考的PZer你好:


同学你好~

Short straddle(a combination of a short put option and a short call option, both with the same strike price)策略的max profit 和breakeven point可以通过分析得到。

Max profit:Short straddle 策略是在赌波动率不会大幅波动,因此通过卖出两个option来赚取期权费。若市场按照预期真的没有发生大幅波动,卖出的两个期权都没有被行权的时候,我们的收益最高,为两个option的premium。(本题中 c0 + p0 = €2.54 + €3.22 = €5.76)

Breakeven point:因为我们赌股价不会大幅变动,即不会大涨不会大跌,因此一旦大涨超过X+C+P,或者大跌超过X-(C+P)的时候,我们赚到的两个期权费就被亏损抵消掉了,因此该策略有两个breakeven point,为X+C+P和X-(C+P)。

(如有疑问,欢迎追问)

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