Consider a European call option on a non-dividend-paying stock with the current price of $32 and the volatility of 30% per annum. The strike price of this call option is $33, the risk-free interest rate is 4% per annum, and the option will mature in 3 months. (Show details of your calculations using regular formulas and show how you plug in data from this problem into these formulas.)

1. Find the price of this option using the Black Scholes formula.
2. Use the put-call parity to find the price of the European put option on this stock with the same strike price and time to maturity as the above-mentioned call option.