In: Finance
Jenny bought a new car for $30,000. The loan contract asked her to pay $880 per month for 36 months. What is the APR of the auto loan?
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0.30% |
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3.57% |
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2.93% |
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3.37% |
| Present Value Of An Annuity | ||||
| = C*[1-(1+i)^-n]/i] | ||||
| Where, | ||||
| C= Cash Flow per period | ||||
| i = interest rate per period | ||||
| n=number of period | ||||
| 30000= $880[ 1-(1+i)^-36 /i] | ||||
| 30000/880 =[ 1-(1+i)^-36 /i] | ||||
| 34.09091 =[ 1-(1+i)^-36 /i] | ||||
| I =0.297547% | ||||
| Monthly interest rate = 0.297547% | ||||
| APR =0.297547%*12 | ||||
| =3.57% | ||||