Problem $05-04($algo$)$Assume that the economy can experience high growth, normal growth, or recession. Under these conditions, you expect the following stock market returns for the coming year: State of the EconomyProbabilityReturnHigh Growth$0\mathrm{.}233\%$Normal Growth$0\mathrm{.}713\%$Recession$0\mathrm{.}1-33\%$ a$.$ Compute the expected value of a $$1,000$ investment over the coming year. If you invest $$1,000$ today, how much money do you expect to have next year? What is the percentage expected rate of return? Instructions: Enter dollar values rounded to the nearest whole dollar and percentages rounded to one decimal place. The expected value is $ and the expected rate of return is $\%.$ b$.$ Compute the standard deviation of the percentage return over the coming year. Standard deviation $=\%$ c$.$ If the risk$-$free return is $7$ percent, what is the risk premium for a stock market investment? Risk premium $=\%$