Assume you will need $30,000 each year over the next 20 years to live at the standard you desire. Also estimate the rate of return you can reasonably expect to earn annually, on average, during that 20 year period by investing in a stock portfolio similar to the S&P 500 (e.g. 9%).,,a. How large a single lump sum would you need today to provide the annual cash required to allow you to live at the desired standard over the next 20 years?,,b. Would the lump sum calculated in part a. be larger or smaller if you would have invested in a bond portfolio (e.g. 6%)? Explain.,,c. What conclusions do you draw for your retirement investments?