Assume you are now $21$ years old and will start working as soon as you graduate from college. You plan to start saving for your retirement on your $25$th birtday and retire on your $65$th birthday. After retirement you expect to live at leasr until you are $85.$ You wish to be able to withdraw $$37,000($in todays dollars$)$ every year from the time of your retirement until you are $85$ years old $($i$.$e for $20$ years$)$ the average inflation is likely to be $5$ percent. Please give answers to problem $6\mathrm{.}42($e$)$ now answer parts a and b assuming the rate of return to be $8$ percent per year and $15$ percent per year