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A game of chance offers the following odds and payoffs. Each play of the game costs $200, so the net profit per play is

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A game of chance offers the following odds and payoffs. Each play of the game costs $200, so the net profit per play is the payoff less $200. Probability 0.20 0.40 0.40 Payoff $700 Net Profit $500 200 0 0 -200 a-1. What is the expected cash payoff? (Round your answer to the nearest whole dollar amount.) a-2. What is the expected rate of return? (Enter your answer as a percent rounded to the nearest whole number.) b-1. What is the variance of the expected returns? (In the calculation, use the percentage values, not the decimal values for the rates of return. Do not round intermediate calculations. Round your answer to the nearest whole number.) b-2. What is the standard deviation of the expected returns? (Enter your answer as a percent rounded to 2 decimal places.) a-1. Expected cash payoff a-2. Expected rate of return % b-1. Variance b-2. Standard deviation % The following table shows the nominal returns on Brazilian stocks and the rate of inflation. Year Nominal Return (%) Inflation (%) 2012 2013 0.1 -15.0 7.8 7.9 2014 -13.0 8.4 2015 -43.4 12.7 2016 2017 68.2 28.9 8.3 4.9 a. What was the standard deviation of the market returns? (Use decimals, not percents, in your calculations. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Standard deviation % b. Calculate the average real return. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places) Average real return %

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