Exercise 4. Use the Black-Scholes option pricing formula to find the price of a European put option on a non-dividend-paying stock when the stock price is $50, the strike price is $50, the continuously compounded risk-free interest rate is 6% per annum, and the time to maturity is 0.5 year. Code the formula using Excel or any other language, price the put for a variety of the volatility o: o = 0.05 +0.05j, j = 0, 1, 2, ..., 10 make a plot of the European put price against the varying o. Exercise 4. Use the Black-Scholes option pricing formula to find the price of a European put option on a non-dividend-paying stock when the stock price is $50, the strike price is $50, the continuously compounded risk-free interest rate is 6% per annum, and the time to maturity is 0.5 year. Code the formula using Excel or any other language, price the put for a variety of the volatility o: o = 0.05 +0.05j, j = 0, 1, 2, ..., 10 make a plot of the European put price against the varying o