Price the 7 day put and call options with a strike price of $2 over a stock currently trading at $1.97 that has a volatility of 42%pa, when the continuously compounded risk free rate is 0.75%. Also, what are:

a) If the stock were to move to $2.10, what would the price of the put and call options become?

b) Determine the delta of the call option

c) Determine the delta of the put option

d) What is the intrinsic value of the call option when the stock is trading at $2?

e) What is the time value of the put option when the stock is trading at $2