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Pavel [41]
3 years ago
6

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 hav

e 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
Business
1 answer:
polet [3.4K]3 years ago
7 0

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

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