In: Finance
You are buying a gently used car today at a price of $11,480. You are paying $700 down in cash today and financing the balance for 44 months at an annual interest rate of 8.50%. What is the amount of each monthly loan payment? Dollar value
Question 7 options:
$277
$284
$291
$298
$305
| Monthly payment | = | [P × R × (1+R)^N ] / [(1+R)^N -1] | |
| Using the formula: | |||
| Loan amount | P | $ 10,780 | |
| Rate of interest per period: | |||
| Annual rate of interest | 8.500% | ||
| Frequency of payment | = | Once in 1 month period | |
| Numer of payments in a year | = | 12/1 = | 12 | 
| Rate of interest per period | R | 0.085 /12 = | 0.7083% | 
| Total number of payments: | |||
| Frequency of payment | = | Once in 1 month period | |
| Number of years of loan repayment | = | 3.67 | |
| Total number of payments | N | 3.66666666666667 × 12 = | 44 | 
| Period payment using the formula | = | [ 10780 × 0.00708 × (1+0.00708)^44] / [(1+0.00708 ^44 -1] | |
| Monthly payment | = | $ 286.02 | 
Answer is 284