Question

Lang Warehouses borrowed $178,960 from a bank and signed a note requiring 8 annual payments of $28,819 beginning one year from the date of the agreement. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: Determine the interest rate implicit in this agreement. (

Answer 1

Answer: 6%

Explanation:

The annual payments can be considered to be annuity payments as they are constant. The amount borrowed can be considered the present value of the annuity.

Present value of annuity = Annuity * Present value interest factor of annuity, 8 years, %?

178,960 = 28,819 * Annuity factor

Annuity factor = 178,960 / 28,819

= 6.20979

To find out the interest rate, look at the Present Value of Annuity table and go to the 8 period column. Look for 6.20979. The interest rate that intersects with this factor is the interest rate implicit in this agreement.

That rate is 6%.