Question

24. You have saved $4,000 for a down payment on a new car. The largest monthly payment you can afford is $350. The loan will have a 12% APR based on end-of-month payments. What is the most expensive car you can afford if you finance it for 48 months

Answer 1

Answer:

The most expensive car can be afforded is = $17290.89

Explanation:

The down payment of a new car = $4000

The mothly payment (annuity ) = $350

Interest rate on the rate = 12% = 12% / 12 per month.

Now we have to calculate the most expensive car that can be afforded with the finance time of 48 months.  

Below is the calculation:

$Present \ value = annuity \times \left [ \frac{1-(1+r)^{-n}}{r} \right ] \\= 350 \times \left [ \frac{1-(1+ 0.01)^{-48}}{0.01} \right ] \\= 13290.89$

$\text{Total value of car} = savings + present \ value \\= 4000 + 13290.89 \\= 17290.89$