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 birthday and retire on your 65th birthday. After retirement, you expect to live at least until you are 85 . You wish to be able to withdraw $31,000 (in today's dollars) every year from the time of your retirement until you are 85 years old (i.e., for 20 years). The average inflation rate is likely to be 5 percent. Problem 6.42(a) Calculate the lump sum you need to have accumulated at age 65 to be able to draw the desired income. Assume that the annual return on your investments is likely to be 10 percent. (Round answer to 2 decimal places, e.g. 15.25. Round intermediate value to 3 decimal places, e.g. 359400.312. Do not round factor values.) Lump sum amount accumulated at age 65$