The current price of a share is $45. In half a year, this share price can either increase to $49 or decrease to $41. You have sold a European call option on this share where you will have to pay $1,000 if the share price increases and nothing if the share price decreases. The risk free rate is 8% per annum compounding continuously. You may assume that there are no arbitrage opportunities and that shares are infinitely divisible. a) Calculate the number of shares ( ) that will need to be bought in order to keep the portfolio riskless. Give your answer to 3 decimal places. Number of shares required = b) Calculate the present value of this portfolio. Give your answer in dollars and cents to the nearest cent. Present value of the riskless portfolio =$