Consider an option on a non-dividend-paying stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months.
- What is the price of the option if it is a European call?
- What is the price of the option if it is an American call?
- What is the price of the option if it is a European put?
- Verify that put-call parity holds.