Please show work for question 11! Section 3-3 FV of an Annuity; Sinking Funds An
ID: 1172674 • Letter: P
Question
Please show work for question 11!
Section 3-3 FV of an Annuity; Sinking Funds Any sequence of payments at equal time intervals is called an annuity. To calculate the future value of an annuity: P1 /2 PMT- periodic payment (S) where FV-future value (S) r-anmual interest rate (as a decimal) and -number of payments per year (periods) If the payments into an account are in the form of an ordinary annuity and the account is established for accumulating funds to meet a future obligation, then the account is called a sinking fund t-time in years 11, a) Suppose you deposit $1500 each year for 15 years in a savings account paying 4% compounded annually. How much would the account contain after 15 years? How much of the FV did you actually contribute?Explanation / Answer
here
PMT = 1500
rate of interest = 4%
Time = 15 years
Future Value = 1500*(((1+0.04)^15)-1)/0.04
= 30035.381 $
Total amount contributed = 15*1500= 22500$
Percentage of future value contributed = 22500/30035.381 = 0.749 or 74.9%