Problem 1: Options Basics (5 points) Imagine AAPL stock closed at $520 on November 15th. At that time, the following options were traded for AAPL stock: Call or put Expiration date Strike price Option premium Call December 21st $505 $26.50 Put December 21st $505 $13.30 Assume the interest rate is 0%. (a) According to put-call parity, what is the present value of AAPL dividends between November 15th and December 21st? Present value of dividends: (b) Assuming AAPL's share price increases by 5% between now and December 21st, compute the payoff, profit, and return for each of the following positions: (i) A long position in 100 call options, bought at $26.50 per call. (ii) A long position in 100 put options, bought at $13.30 per put. As a reminder, the payoff from an options position is the value of the option at expiration (ignoring the premium paid), the profit is the payoff minus the premium, and the return equals the profit divided by the initial premium. Payoff Profit Return Position Long 100 call options Long 100 put options (c) Assuming AAPL's share price decreases by 10% between now and December 21st, compute the payoff, profit, and return for each of the following positions: (i) A long position in 100 call options, bought at $26.50 per call. (ii) A long position in 100 put options, bought at $13.30 per put. As a reminder, the payoff from an options position is the value of the option at expiration (ignoring the premium paid), the profit is the payoff minus the premium, and the return equals the profit divided by the initial premium. Return Payoff Profit Position Long 100 call options Long 100 put options