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 |