Suppose that a financial institution has sold for $300,000 a European call option on 100,000 shares of a non-dividend stock. Assume that the stock price is $49, the strike price is $50, the risk-free interest rate is 5% per annum, the stock price volatility is 20% per annum, the time to maturity is 20 weeks (0.3826 years), and the expected return from the stock is 13% per annum.

(a) Calculate the BlackScholesMerton price of the option. Is this sell reasonable?