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:
[tex]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 \\[/tex]
[tex]\text{Total value of car} = savings + present \ value \\= 4000 + 13290.89 \\= 17290.89[/tex]
