In: Finance
a $43,000 new car loan is taken out with the terms 9% APR for 48 months. How much are monthly payments on this loan? A.$1,070.06 B.$1,177.06 C.$1,284.07 D.$1,391.07
Monthly payment | = | [P × R × (1+R)^N ] / [(1+R)^N -1] | |
Using the formula: | |||
Loan amount | P | $ 43,000 | |
Rate of interest per period: | |||
Annual rate of interest | 9.000% | ||
Frequency of payment | = | Once in 1 month period | |
Numer of payments in a year | = | 12/1 = | 12 |
Rate of interest per period | R | 0.09 /12 = | 0.7500% |
Total number of payments: | |||
Frequency of payment | = | Once in 1 month period | |
Number of years of loan repayment | = | 4.00 | |
Total number of payments | N | 4 × 12 = | 48 |
Period payment using the formula | = | [ 43000 × 0.0075 × (1+0.0075)^48] / [(1+0.0075 ^48 -1] | |
Monthly payment | = | $ 1,070.06 |
Answer is $1,070.06
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