Question
The following prices are available for call and put options on an AAPL stock priced at $145. The risk-free rate is 1 percent and the
The following prices are available for call and put options on an AAPL stock priced at $145. The risk-free rate is 1 percent and the volatility is 0.20. The options have 180 days remaining (expiring in November). The Black-Scholes model was used to obtain the prices.
Exercise | Calls | Puts |
140 | 11.12 | 5.44 |
150 | 6.28 | 10.54 |
160 | 3.22 | 17.44 |
Assume that each transaction consists of one contract (for 100 shares) unless otherwise indicated.
(1) Suppose you expect the stock price to remain at about $145 and decides to execute a butterfly spread using the November calls. What will be the cost of the butterfly spread?
(2) Suppose you expect the stock price to remain at about $145 and decides to execute a butterfly spread using the November calls. What will be the profit if the stock price at expiration is $155?
(3) Now suppose you construct a long straddle using November 150 call and 150 put. What will the straddle cost?
(4) Suppose you construct a long straddle using November 150 call and 150 put. What is the profit if the stock price at expiration is at $165?
(5) Now suppose you construct a long strangle using November 160 call and 140 put. What will the strangle cost?
(6) Suppose you construct a long strangle using November 160 call and 140 put. What is the profit if the stock price at expiration is at $130?
[Hint: Refer to the attached excel spreadsheet WMGT Excel Ch 15 Option Strategies (AAPL) after putting in appropriate information provided above.]
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