Question

A company borrowed $40,000 cash from the bank and signed a 6-year note at 7% annual interest. The present value of an annuity factor for 6 years at 7% is 4.7665. The present value of a single sum factor for 6 years at 7% is 0.6663. The annual payments equal: Multiple Choice $26,652.00. $8,391.90. $40,000.00. $60,033.02. $190,660.00.

Answer 1

Answer: $8,391.90

Explanation:

So the company borrowed $40,000 from a bank.

They are to pay 7% interest on the note per year for 6 years.

We are to find the annual payments.

7% represents a constant payment schedule per year so we can use an Annuity formula.

Seeing as the Annuity factor has been calculated for us already we don't need to formula though.

The present value of an annuity factor for 6 years at 7% is 4.7665.

Calculating the present value of the annual payment can be done as follows,

= Amount / PVIFA (Present Value Interest Factor for an Annuity)

= 40,000/4.7665

= 8391.90181475

= $8,391.90

The annual payments equal $8,391.90.