In: Accounting
Gary and Debra Garfield invested $7,400 in a savings account
paying 8% annual interest when their daughter, Angela, was born.
They also deposited $1,000 on each of her birthdays until she was
18 (including her 18th birthday).
Step 1 : | Future value of $7400 | ||||
FV= PV*(1+r)^n | |||||
Where, | |||||
FV= Future Value | |||||
PV = Present Value | |||||
r = Interest rate | |||||
n= periods in number | |||||
= $7400*( 1+0.08)^18 | |||||
=7400*3.99602 | |||||
= $29570.54 | |||||
Step 2 : | Future value of annuity | ||||
Future Value of an Ordinary Annuity | |||||
= C*[(1+i)^n-1]/i | |||||
Where, | |||||
C= Cash Flow per period | |||||
i = interest rate per period | |||||
n=number of period | |||||
= $1000[ (1+0.08)^18 -1] /0.08 | |||||
= $1000[ (1.08)^18 -1] /0.08 | |||||
= $1000[ (3.996 -1] /0.08] | |||||
= $37,450.24 | |||||
Step 3 : | Total Value | ||||
=$29570.54+37450.24 | |||||
=$67020.78 | |||||