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 way they're computed using the simple interest method. Under the discount method, a borrower receives the principal the finance charges. For example, if the principal is $$8,000$ and the finance charges are $$720,$ the borrower will receive $

The following equation computes the finance charges on your loan:

$F_d=F_s=$ Amount of Loan Interest Rate $,$ Term of Loan

where $F_d$ is the finance charge for the loan, and the term of the loan in

You're borrowing $$6,000$ for a year and a half with a stated annual interest rate of $6\%.$

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

Principal $$6,000$

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 $(1\mathrm{.}5$ 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

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 $"$ the stated interest rate because the

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

Loan is a single$-$payment loan

Discount method was used to calculate finance charges

Term of the loan is more than six months

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