In: Finance
You want to buy a new sports car from Muscle Motors for $34,000. The contract is in the form of a 60-month annuity due at a 9.75 percent APR. What will your monthly payment be?
ANS:
- $698.19
- $712.44
- $726.68
- $718.22
- $676.81
Which one is the correct answer?
| Annual Interest Rate = 9.75% | |
| Monthly Interest rate =9.75%/12 | |
| 0.8125% per Month | |
| Time Period = 60 Months | |
| 34000 $ = Monthly Payment ( 1 + Interest rate/12)n | |
| 34000 $ = Monthly Payment ( 1 + 0.8125%)60 | |
| 34000 $ = Monthly payment * 47.3390 | |
| Monthly Payment = $718.22 | |
| Hence the Correct answer is D. 718.22$ | |
| No of Months | Present Value Factor @0.8125% |
| 1 | 0.9919 |
| 2 | 0.9839 |
| 3 | 0.9760 |
| 4 | 0.9681 |
| 5 | 0.9603 |
| 6 | 0.9526 |
| 7 | 0.9449 |
| 8 | 0.9373 |
| 9 | 0.9298 |
| 10 | 0.9223 |
| 11 | 0.9148 |
| 12 | 0.9075 |
| 13 | 0.9001 |
| 14 | 0.8929 |
| 15 | 0.8857 |
| 16 | 0.8786 |
| 17 | 0.8715 |
| 18 | 0.8645 |
| 19 | 0.8575 |
| 20 | 0.8506 |
| 21 | 0.8437 |
| 22 | 0.8369 |
| 23 | 0.8302 |
| 24 | 0.8235 |
| 25 | 0.8168 |
| 26 | 0.8103 |
| 27 | 0.8037 |
| 28 | 0.7973 |
| 29 | 0.7908 |
| 30 | 0.7845 |
| 31 | 0.7781 |
| 32 | 0.7719 |
| 33 | 0.7656 |
| 34 | 0.7595 |
| 35 | 0.7533 |
| 36 | 0.7473 |
| 37 | 0.7413 |
| 38 | 0.7353 |
| 39 | 0.7294 |
| 40 | 0.7235 |
| 41 | 0.7176 |
| 42 | 0.7119 |
| 43 | 0.7061 |
| 44 | 0.7004 |
| 45 | 0.6948 |
| 46 | 0.6892 |
| 47 | 0.6836 |
| 48 | 0.6781 |
| 49 | 0.6727 |
| 50 | 0.6672 |
| 51 | 0.6619 |
| 52 | 0.6565 |
| 53 | 0.6512 |
| 54 | 0.6460 |
| 55 | 0.6408 |
| 56 | 0.6356 |
| 57 | 0.6305 |
| 58 | 0.6254 |
| 59 | 0.6204 |
| 60 | 0.6154 |
| Sum Total | 47.3390 |