– Assume you will start working as soon as you graduate from college.  You plan to start saving for your

retirement on your 25th birthday and retire on your 65th birthday.  After retirement, you expect to live until you are at least 85.  You wish to be able to withdraw $50,000 every year from the time of your retirement until you are 85 years old (i.e., for 20 years).  What is the dollar amount you need to invest every year, starting at age 26 and ending at age 65 (i.e., for 40 years), to be able to accomplish this plan if the interest rate is 10 percent?

2- If the APR is 9.65 percent, what is the effective annual interest rate (EAR), in percent, if the compounding is quarterly?

3- What is the present value of Sharon Kabana’s lottery winnings (above) if the payments begin today instead of one year from today?

4- Anna Kashfi is retiring at the end of next year.  She would like to make sure she receives payments of $10,000 a year forever, starting when she retires.  If she can earn 6.5 percent annually, how much does Anna need to invest to produce the desired cash flow?

5- Anna Kashfi (from above) is retiring at the end of next year.  She would like to make sure she receives payments of $10,000 a year forever, starting when she retires, but now she would like these payments to grow by 1.5 percent each year.  If she can earn 6.5 percent annually, how much does Anna need to invest to produce the desired cash flow?

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