1. The stock price is $52. The volatility of the stock price is 35% per annum. The continuously compounded risk-free rate is 6% per annum for all maturities. What, to the nearest cent, is the price of a one-year European put option on the stock with a strike price of $50?

2. The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume that the risk-free rate is 10%. What, to the nearest cent, is the value of a 6-month European call option on the stock with a strike price of $33?

3. The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume that the risk-free rate is 10% per annum (continuously compounded). What, to the nearest cent, is the value of a 6-month European put option on the stock with a strike price of $33?