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As an option trader, you are constantly looking for opportunities to make an arbitrage transaction (I.e., a trade in which you do not need to

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As an option trader, you are constantly looking for opportunities to make an arbitrage transaction (I.e., a trade in which you do not need to commit your own capital or take any risk but can still make a profit). Suppose you observe the following prices for options on DRKC Co. stock: $3.33 for a call with an exercise price of $58, and $3.48 for a put with an exercise price of $58. Both options expire in exactly six months, and the price of a six- month T-bill is $92.00 (for face value of $100). a. Using the put-call-spot parity condition, choose the correct graph of synthetically recreate the payoff structure of a share of DRKC stock in six months using a combination of puts, calls, and T-bills transacted today. The correct graph is graph B. A. Sum of T-bllapit ayol 00 00 70 60 50 40 20 20 T- Gall O Stone Put 20 20 30 140 001 B Payo 90 90 70 Sum of T-bolt TI 50 40 30+ 20 10 Call 60 DO Stock Price Put -10 20 30 40 50 60 c. Huyut Sum of la 00 00 70 60 T-till T bill 80 70 50 50+ 40 30 20 101 Call 60 90 Stock Price Put 101 -20 -301 401 -50 -601 b. Given the current market prices for the two options and the T-bill, calculate the no- arbitrage price of a share of DRKC stock. Do not round intermediate calculations. Round your answer to the nearest cent. $ 53.21 c. If the actual market price of DRKC stock is $58, demonstrate the arbitrage transaction you could create to take advantage of the discrepancy. Be specific as to the positions you would need to take in each security and the dollar amount of your profit. Do not round Intermediate calculations. Round your monetary answers to the nearest cent and other answers to two decimal places. The arbitrage would be to sell the the stock and buy 58 t-bills, long 53.36 call, short 53.36 put. Arbitrage profits: $ 4.79

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