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: $($graph included in picture$)$

a$.$ Compute the expected value of a $$1000$ investment over the coming year. If you invest $$1,000$ today, how much money do you expect to have next year? What is the percentage expected rate of return?

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$=\_\_\_\_\_\_\%$