You are saving for retirement. To live comfortably, you decide you will need to save $ 2 million by the time you are 65. Today is your 25 th birthday, and you decide, starting today and continuing on every birthday up to and including your 65 th birthday, that you will put the same amount into a savings account. If the interest rate is 9 % , how much must you set aside each year to make sure that you will have $ 2 million in the account on your 65 th birthday?
Value required at 65th birthday = $2,000,000
Value required at the end of 65th birthday = 2,000,000(1.09) = $2,180,000
Calculating Annual deposit required for 41 years,
Using TVM Calculation,
PMT = BEG[PV = 0, FV = 2,180,000, N = 41, I = 0.09]
PMT = $5,415.77
Annual Deposit = $5,415.77
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