6. (10 pts) A market maker sells a bull spread consisting of a 40 -strike put and a 45-strike put on a stock. You are given: (i) The continuously compounded risk-free interest rate is 4%. (ii) The stock pays no dividends. (iii) The options are European, and are priced using the Black-Scholes formula. (iv) (v) The market maker delta-hedges the bull spread. (a) Determine the investment required by the market maker on day 0 to sell the bull spread and delta-hedge it. (b) Determine the additional investment required on day 1 to purchase additional shares to maintain delta neutrality