medium · Principles of Finance risk-return-portfolio

A stock is currently trading at S_0 = 50. A six-month European call option with a strike price of K = 50 trades for 5.00. A six-month European put option with the same strike trades for 4.20. The risk-free rate is 2% continuously compounded.

Based on Put-Call Parity, which of the following is true?

  1. An arbitrageur should sell the stock and buy the call.
  2. The options are correctly priced.
  3. The call is relatively underpriced.
  4. The call is relatively overpriced.

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