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Assume the Black-Scholes framework for options pricing. You are a portfolio manager and already have a long position in Apple (ticker: AAPL). You want
Assume the Black-Scholes framework for options pricing. You are a portfolio manager and already have a long position in Apple (ticker: AAPL). You want to protect your long position against losses and decide to buy a European put option on AAPL with a strike price of $180.15 and an expiration date of 1-year from today. The continuously compounded risk free interest rate is 8% and the stock pays no dividends. The current stock price for AAPL is $200 and its volatility is 30%. Assume all options premiums are exactly equal to the Black-Scholes options prices. Once you discover how expensive the put option premium is, you decide to sell a 1-year call European call option on AAPL to help pay for the put option. You are free to choose the strike price of the call option. At what strike price will the call option you sell pay for the put option you buy? $280.15 $270.15 $180.15 $200
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