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Consider a European call option on a non-dividend-paying stock where the stock price is $40, the strike price is $40, the risk-free rate is 4%

Consider a European call option on a non-dividend-paying stock where the stock price is $40, the strike price is $40, the risk-free rate is 4% per annum, the volatility is 30% per annum, and the time to maturity is six months. Use a two-period binomial option pricing model.

  1. What is the price of the option if it were a European call?
  2. What is the price of the option if it were a European put?
  3. Verify that put-call parity holds.

Assume that the stock is expected to pay dividends in 1.5 months. The expected dividend is 50 cents. Use Black-Scholes model.

What is the price of the option if it were a European call?

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