Growing Annuity Payments
You want to accumulate $2 millions 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 6.78% interest, compounded annually. You expect to get an annual raise of 2%, which will offset inflation, and you will let the amount you deposit each year also grow by 2% (i.e., your second deposit will be 2% greater than your first, the third will be 2% greater than the second, etc.). How much must your first deposit be to meet your goal? Round your answer to the nearest cent.