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The price of a European call that expires in one year and has a strike price of $31 is $3. The underlying stock price is

The price of a European call that expires in one year and has a strike price of $31 is $3. The underlying stock price is $31, and a dividend of $1 is expected in six months. The term structure is flat, with all risk-free interest rates being 10%.

  1. What is the price of a European put option on the same underlying stock with the same maturity and strike price?
  2. Explain in detail the arbitrage opportunities if the European put price is $3.2.

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