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Mr. Donald Drumpf, who is a market maker, notices the following quotes in his hand-held device. The price of Doodle stock is $123 per share.
Mr. Donald Drumpf, who is a market maker, notices the following quotes in his hand-held device. The price of Doodle stock is $123 per share. The European call option on the stock, with strike price $125 and expiration date in 10 months, is quoted for $8.10 per share. The European put option on the same stock, with the same strike price and the same expiration date, is quoted for $7.00 per share. A dividend of $2.00 is expected in 5 months. The interest rate is 4%.
- Is there an arbitrage opportunity to Mr. Donald Drumpf?
- If the answer in (a) is yes, describe the arbitrage strategy. How much is the arbitrage profit per share of the stock?
- What premium of the call option would prevent the arbitrage you described in (b), given the other prices?
- What premium of the put option would prevent the arbitrage you described in (b), given the other prices?
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