In: Finance
The sum of $5200 is deposited into an account paying 10% annually. If $ 800 is withdrawn at the end of years 1, year 2 and year 3, how much remains in the account at the end of year 3?
Value of $5200 at the end of 3 years = PV x (1+i)n
Value of $5200 at the end of 3 years = 5200 x (1+0.10)3
Value of $5200 at the end of 3 years = $ 6,921.20
Future Value of 800 withdrawn per annum for 3 years
PMT = $800
N = 3
I = 10%
Using financial calculator or FV function in excel
Future Value of 800 withdrawn per annum for 3 years = $2648
Therefore,
Amount in account at the end of 3 years = $6921.20 - $2648
Amount in account at the end of 3 years = $4273.20