Question

You decide to save a uniform amount at the end of each month for 12 months so you will have $1000 at the end of 1 yr. The bank where you have a savings account pays 6% interest per annum compounded monthly. How much money do you need to deposit each month

Answer 1

$81.13

Step-by-step explanation:

first we must calculate the effective monthly interest rate:

1.06 = (1 + i)¹²

1.004868 = 1 + i

i = 0.4868%

the future value of this annuity is given, but we need the monthly contribution:

monthly contribution = future value / FV annuity factor

future value = $1,000

FV annuity factor, 0.4868%, 12 periods = 12.32656

monthly contribution = $1,000 / 12.32656 = $81.13