In: Finance
In 5 years Harry and Sally would like to have $26000 for a down payment on a house. How much should they deposit each month into an account paying 9% compounded monthly?
Deposit each month so that at the end year 26000 for down payment
Thus,
Future Value = Deposit Amount * FVAF(r, n)
26,000 = Deposit Amount * FVAF[ 9%/12, 5*12 - 1] + Last month deposit
26,000 = Deposit Amount * FVAF[ 0.75%, 59 ]
26,000 = Deposit Amount * [ 1.007559 + 1.007558 + ...... + 1.0075] + Deposit Amount
26,000 = Deposit Amount * [ 73.8701 + 1 ]
26,000 = Deposit Amount * 74.8701
Deposit Amount = 26000 / 74.8701
Deposit Amount = $ 347.27 per month