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The correct statement is that the monthly payments on the purchase of a new car by Renee will be $655 on the interest rate of 11.34 percent for a period of four years.
The calculation of the value of the monthly payments to be made by Renee can be ascertained by computing all the costs of such transaction and then division by the number of months available.
Calculation of Monthly Payments
The total principal net value of the car comes down to $19945 after adding all the costs and deducting the trade-in value of the old car at 85% of the total value.
The formula for the calculation of total annuity is as below and the values given are being applied,
[tex]\rm Compounded\ Annuity= P(1+ \dfrac{r}{n})^n^t\\\\\rm Compounded\ Annuity=19945(1+0.00945)^4^8\\\\\rm Compounded\ Annuity= \$31450[/tex]
Now the monthly payments over a period of four years will be,
[tex]\rm Monthly\ Payments = \dfrac{Annuity}{No. \ of\ Months}\\\\\rm Monthly\ Payments = \dfrac{31450}{48}\\\\\rm Monthly\ Payments = \$655[/tex]
So, a monthly payment of $655 needs to be made in order to purchase such a car.
Hence, the correct statement is that the monthly payments on the purchase of a new car by Renee will be $655 on the interest rate of 11.34 percent for a period of four years.
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