Helpful Hint: Begin by making a number line to help structure the problem. Count the dates you will deposit/withdraw from the account. This will help ensure you have the number of payments correct. Requirements:

1. (4 points) Using your present age (20), calculate the annual deposit you must make to an account so that you will have accumulated $2 million at retirement Amount of annual deposit=___________ 1. Calculated Using: n=_____, PV=________, I=____, FV=__________ 2. Assume that you will retire on your seventieth birthday. 3. Assume that you make your first deposit on your next birthday and the last deposit on your 69th birthday. 4. Use the last digit in your student number to determine the interest rate (this is 9)

2. (4 points) Calculate the amount that you can withdraw from your retirement savings each year so that is nothing left when you die. Amount of annual withdrawal=___________ 1. Calculated Using: n=_____, PV=________, I=____, FV=__________ 2. Assume that your life expectancy is 95 years. 3. To simplify the problem, assume that each withdrawal is the same amount each year and that the first withdrawal is on your 70th birthday and your last withdrawal is on your 94th birthday. Use the same interest rate as Part 1.

the rate is 9