Details of prices of stock, derivatives and interest rates are as follows: - ABCs stock price is $22.50 at time 0 - The European options on ABC have a common strike price K=$20 and mature in T=6 months. Todays put price is $0.50. - The continuously compounded risk-free interest rate is 5% per annum. - Non dividends are paid on ABCs stock over the options life.

Required:

(a) Determine the price of the call on ABCs stock by creating the following two portfolios: A stock purchase plan portfolio: long stock and short bonds to borrow the present value of strike Synthetics short stock: short call and long put

(b) Suppose you find that an errant trader quotes a call price of $4. Using the portfolio created in part (a), what is your immediate arbitrage profit.