a company will need $30,000 IN 7 YEARS FOR AN ADDTION. TO MEET THIS GOAL THE COMPANY DEPOSITS MONEY IN AN ACCOUNT TODAY THAT PAYS 7% ANNUAL INTREST COMPONDED QUARTERLY. TO FIND THE AMOUNT THAT SHOULD BE INVESTED TO $30,000 IN 7 YEARS.

HOW MUCH SHOULD THE COMPANY INVEST?

1 answer

P = Po*(1+r)^n

r = (7%/4)/100% = 0.0175 = Quarterly % rate expressed as a decimal.

n = 4 Comp./yr. * 7yrs. = 28 Compounding
periods.

P = Po*(1.0175)^28 = 30,000
Po = 30,000/(1.0175)^28 = $18,456.85 =
Initial deposit.