Reference no: EM131575856

You have just turned 21 (Year 0), are graduating from college, and are planning for your retirement. You currently have no money saved, but plan to make significant investments into a retirement account now that you have gotten a high-paying job. Because of moving and additional expenses associated with the start of your new job, you believe that you will only be able to invest exist2, 500 on your 22^nd and 23^rd birthdays (2 payments in Years 1 and 2). You then expect to invest exist7, 000 each year on your 24^th through your 30th birthdays (7 payments in Years 3-9), exist20, 000 each year on your 31^st through 40^th birthdays (10 payments in Years 10-19), and exist30, 000 each year on your 41st through 55^th birthdays (15 payments in Years 20-34). During this 34-year period you are willing to take some investment risks and you believe that your investment account can earn a nominal annual rate of return of 12 percent, compounded monthly. At age 55 you plan to retire and will use the money in your investment account to buy (at Year 34) a 40-year, guaranteed annuity from an insurance company that will pay you a fixed amount on your 56^th through 95^th birthdays (Years 35-74). Since this annuity is guaranteed, the insurance company uses a nominal annual rate of return of 6 percent, compounded quarterly. Determine the amount you can expect to receive each year after you retire.