7. Calculating finance charges using the discount method and APRon a single-payment loan

You are taking out a single-payment loan that uses the discount method to compute the finance charges. Computing the finance charges is done the same as/differently from the way theyre computed using the simple interest method. Under the discount method, a borrower receives the principalless/plus the finance charges. For example, if the principal is $6,000 and the finance charges are $900, the borrower will receive $5,100/6900 .

The following equation computes the finance charges on your loan:

Fd = Fs = Amount of Loanx Interest Ratex Term of Loan

where Fd is the finance charge for the loan, and the term of the loan is inyears/month .

Youre borrowing $4,000 for a year and a half with a stated annual interest rate of 10%.

Complete the following table. (Note: Round your answers to the nearest dollar.)

Principal	$4,000
Finance charges
Loan disbursement
Total payback

Annual Percentage Rate (APR)

You also want to calculate the APR (annual percentage rate) and compare it to the stated interest rate.

First, compute the average annual finance charge by dividing the total finance charge by the life of the loan, which is a year and a half (1.5 years). Enter this value in the following equation. (Note: Round your answers to the nearest dollar.)

Next, as a single-payment loan, the average loan balance outstanding is constant at the loan disbursement / principal .

Enter the value for the average loan balance outstanding in the following equation. Finally, complete the calculation for APR and enter it in the following equation. (Note: Round your answers to the nearest dollar and your percentage point to the nearest two decimal places.)

APR	=	Average Annual Finance Charge / Average Loan Balance Outstanding
	=	/
	=	%

The APR is lower than/higher than/ the same as the stated interest rate because the

-Term of the loan is more than six months

-Formula to compute finance charges is the same for the discount and simple interest methods

-Discount method was used to calculate finance charges

-Loan is a single-payment loan