Additional Problem 5 The price of a stock is $50. The stock does not pay dividends. A $50-strike, 3-month European call option has a price of $3.48. The delta of the call option is 0.5824. The gamma of the call option is 0.0521. A $55-strike, 4-month European call option has a price of \$2.05. The delta of the call option is 0.3769. The gamma of the call option is 0.0441. A market-maker writes 100 of the the \$50-strike call options and delta-gamma hedges the position. After 1 day, the new stock price is $51, the new price of the $50-strike call option is $4.06, and the new price of the $55-strike call option is $2.43. Assume that the continuously compounded risk-free interest rate r remains unchanged over time and r=8%. Calculate the overnight profit for the market-maker