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PLEASE ANSWER : Mr. Donald Drumpf, who is a market maker, notices the following quotes in his hand-held device. The price of Doodle stock is

PLEASE ANSWER: 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%.

  1. Is there an arbitrage opportunity to Mr. Donald Drumpf?
  2. If the answer in (a) is yes, describe the arbitrage strategy. How much is the arbitrage profit per share of the stock?
  3. What premium of the call option would prevent the arbitrage you described in (b), given the other prices?
  4. What premium of the put option would prevent the arbitrage you described in (b), given the other prices?

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