In: Finance
(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 | 
| 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) |