Question

Industrial tools owes you $38,600. this amount is seriously delinquent so you have offered to accept weekly payments for one year at an interest rate of 3 percent to settle this debt in full. what is the amount of each payment?

Answer 1

The problem could be solved by using the future value (FV) formula: FV = PV × (1 + r)ⁿ, where;
PV = Present value
r = interest rate
n period

So, substituting the formula with the value:

FV = $38,600 × (1 + (.03÷52))⁵²
     ≈ $39,775.20

Note that the interest is divided by 52 since it has to be compounded weekly.

So, the weekly payment will amount to $764.91 ($39,775.20÷52).