Consider an option on a non-dividend-paying stock when the stock price is $69, the exercise price is
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Question:
Consider an option on a non-dividend-paying stock when the stock price is $69, the exercise price is $70, the risk-free interest rate is 5% per annum, the volatility is 35% per annum, and the time to maturity is six months.
(a) What is the Black-Scholes price of the option if it is a European call?
(b) What is the Black-Scholes price of the option if it is an American call?
(c) What is the Black-Scholes price of the option if it is a European put?
(d) Verify that put-call parity holds.
(e) The stock price has to rise by how much for the purchaser of the European call to break even?
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