Question

Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $10,000 in student loans. She asks for your help in determining the amount of the quarterly loan payment. She tells you that the loan must be paid back in five years and that the annual interest rate is 8%. Payments begin in three months.
Required:
Determine Sandy's quarterly loan payment.

Answer 1

Answer: $611.57 or $612 rounded to nearest dollar.

Explanation:

She would have to make a constant payment per quarter which makes it an annuity.

The $10,000 is the present value of the annuity.

The quarters remaining are = 5 years * 4 = 20 quarters

Quarterly interest = 8%/4 = 2%

10,000 = Annuity * Present Value of Annuity factor, 20 periods, 2%

10,000 = Annuity * 16.3514

Annuity = 10,000/16.3514

= $611.57