You can get a car loan with a term of three years at an APR of 4%. If you can afford a monthly payment of $350, how much can you borrow?

Respuesta :

Answer:

Step-by-step explanation:

This is an Ordinary annuity question. You are basically asked to find the Present Value of the annuity which is the amount borrowed.

PVA = [tex]\frac{PMT}{r} [1-(1+r)^{-n} ][/tex]

PMT = Recurring payment = $350

r= interest rate ; monthly rate in this case = 4%/12 = 0.333% or 0.00333

n= total duration = 3 *12 = 36 months

PVA = [tex]\frac{350}{0.00333} [1-(1.00333)^{-36} ][/tex]

PVA =105,105.1051 *0.11279645

PVA = 11,855.48275

Therefore, amount you can borrow  is $11,855.48

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