A one year call option has a strike price of 50, expires in 6 months, and has a price of $4.74. If the risk-free rate is 3%, and the current stock price is $45, what should the corresponding put be worth?

An international investment firm buys an interest rate cap that pays the difference between LIBOR and 6% if LIBOR exceeds 6%. Current LIBOR is 5%. The amount of the option is $1,500,000, and the settlement is every 3 months. Assume a 360 day year. Find the payoff if LIBOR closes at 4.7%.