A power call option pays off (max(ST-X,0))^2 at time T, where ST is the stock price at time T and X is the exercise price. a stock price is currently $55. it is known that at the end of one year it will either be $60 or $50. The risk-free rate of interest with continuous compounding is ^% per annum. Calculate the value of a one year power call option with exercise price of $55.

a) what is the delta of the power call option?

b)What is the risk neutral probability of up movement? (answer in %)

c)what is the value of the power option?