Problem 2. (20 points) Consider a wager (bet) that will pay either $55 or $20, with equal probability. a) Calculate the mean and standard deviation of the expected payoff. (4 points) b) If the cost of the wager is $35, calculate the expected return and the standard deviation of holding-period returns. What if the cost of the wager is $30? (4 points). b) Now assume the risk-free rate is 3.0 percent, the market risk premium is 6.5 percent, the standard deviation of holding-period returns of the market portfolio is 18 percent, and the correlation between the payoff of the bet and the return you could earn by investing in the market portfolio is 0.4. Use the CEQ approach to Venture Capital Fund (Certainty Equivalent) to compute the PV of the wager.(CEQ = ECF/(1+ RP)) (6 points). d) What is the NPV of the wager if it acquires for $30? (2 points) d) . What is the correct risk-adjusted discount rate (RFR+ RP) for this wager? (4 points)