Question

In: Finance

(32) You plan to buy a car that has a total "drive-out" cost of $21,100. You...

(32) You plan to buy a car that has a total "drive-out" cost of $21,100. You will make a down payment of $2,321. The remainder of the car's cost will be financed over a period of 4 years. You will repay the loan by making equal monthly payments. Your quoted annual interest rate is 12% with monthly compounding of interest. (The first payment will be due one month after the purchase date.) What will your monthly payment be?

$581.69
$489.63
$515.22
$494.52
$460.75

Solutions

Expert Solution

Monthly payment [P×r×(1+r)^n]÷[(1+r)^n-1]
Here,
1 Interest rate per annum 12.00%
2 Number of years                                                                                             4
3 Number of compoundings per per annum                                                                                          12
1÷3 Interest rate per period ( r) 1.00%
2×3 Number of periods (n) 48
Loan amount (P) $                                                                              18,779 =21100-2321
Monthly payment $                        494.52
(18779×1%×(1+1%)^48)÷((1+1%)^48-1)

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