Landon Wallin is an auto mechanic who wishes to start his own business. He will need ​$4200 to purchase tools and equipment. Landon decides to finance the purchase with a 36​-month fixed installment loan with an APR of 5.5​% ​a) Determine​ Landon's finance charge. ​b) Determine​ Landon's monthly payment.

Respuesta :

Landon's finance charge is $613.2

Landon's monthly payment is; $80.22

How to find the finance charge?

It is convenient to compute the monthly payment first, then figure the total amount repaid and the finance charge.

The amortization formula is:

 A = Pr/(1 - (1 + r)⁻ⁿ)

where;

A is the monthly payment

P is the loan amount

r is the monthly interest rate

n is the number of months

b) Using the above formula, we can get the monthly payment as;

A = $4200(0.055/12)/(1 - (1 +0.055/12)⁻⁶⁰) = $19.708333/0.23995049

A = $80.22

The monthly payment amount is $80.22

a) 60 monthly payments add up to;

$80.22 × 60 = $4813.2

Since $4200 of that amount is principal, the finance charge is;

$4813.2 - $4200.00 = $613.2

Landon's finance charge is $613.2

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