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Growing Annuity Payments: Amount of Your First Deposit

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You want to accumulate $1 million by your retirement date, which is 25 years from now. You will make 25 deposits in your bank, with the first occurring today. The bank pays 8% interest, compounded annually. You expect to receive annual raises of 3%, which will offset inflation, and you will let the amount you deposit each year also grow by 3% (i.e your second deposit will be 3% greater than your first, the third will be 3% greater than the second, etc) How much must your first deposit be if you are to meet your goal?

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