The stock price of Amazon is $50. The price of a 4-month European call option and a European put option on the stock with a strike price of $50 is $3. The stock pays $0.5 in dividends in one month and $0.75 in three months. The risk-free interest rate is flat at 4% per annum. Determine which of the following statements is true. O I. The put-call parity relationship holds so there are no arbitrage opportunities. O II. There are arbitrage opportunities given by sellig short the call option and borrowing $50 at the risk-free rate until maturity to buy the stock and the put option. O II. There are arbitrage opportunities given by sellig short the call option and borrowing $48.7591 at the risk-free rate until maturity to buy the stock and the put option. Note that 48.7591=50 - D, with D the present value of all dividend payments. O IV. There are arbitrage opportunities given by sellig short the stock and put option and buying the call option. The proceeds of this strategy, given by $50, are invested at the risk-free rate until maturity of the options.
The stock price of Amazon is $50. The price of a 4-month European call option and a European put option on the stock with a strike price of $50 is $3. The stock pays $0.5 in dividends in one month and $0.75 in three months. The risk-free interest rate is flat at 4% per annum. Determine which of the following statements is true. O I. The put-call parity relationship holds so there are no arbitrage opportunities. O II. There are arbitrage opportunities given by sellig short the call option and borrowing $50 at the risk-free rate until maturity to buy the stock and the put option. O II. There are arbitrage opportunities given by sellig short the call option and borrowing $48.7591 at the risk-free rate until maturity to buy the stock and the put option. Note that 48.7591=50 - D, with D the present value of all dividend payments. O IV. There are arbitrage opportunities given by sellig short the stock and put option and buying the call option. The proceeds of this strategy, given by $50, are invested at the risk-free rate until maturity of the options.
Chapter11: Managing Transaction Exposure
Section: Chapter Questions
Problem 35QA
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