The price of HighTech (HT) stock is $534.25. Your broker tells you that you could buy a European call option on HT with a strike price of $750 and 325 days until maturity for $54. Your research indicates that the standard deviation of HT’s stock returns is 55% and you know that the continuously compounded risk free rate is 5%. Would you be willing to buy such an option for the price quoted by your broker (i.e. $54)? Assume one year has 365 days and HighTech doesn’t pay any dividends. (Dividends complicate option pricing.)
Note: Round d1 and d2 to the nearest values in the cumulative normal distribution table. The table is posted on uLearn.