Question

Suppose you open today (year 0) a savings account with $5,000; the account earns an interest of 3% APR annually. At the end of year 2 you deposit an additional $5,000 in the savings account, and then at the end of year 7 you deposit another $5,000 in the account. There is a total of 3 deposits made so far. If you did not make any withdrawals or additional deposits, then approximately what is the balance (FV) in the account at the end of year 11 (4 years after the last deposit)?

Answer 1

For FV of first deposit of $5000, n= 11-0=11, FV= PV*(1+r)^n=5000*(1+3%)^11=5000*1.03^11=5000*1.3842=$6921.17

For FV of second deposit of $5000,n=11-2=9, FV=5000*(1+3%)^9=5000*1.03^9=5000*1.3048=$6523.87

For, FV of 3rd deposit of$5000,n=11-7=4, FV=5000*(1+3%)^4=5000*1.03^4=5000*1.1255=$5627.54

Total FV= 6921.17+6523.87+5627.54=$19072.58