You will consider how to pay for a $2,000 consumer good and/or service someone might need to purchase in an emergency, such as a major repair to a car or home. You will analyze two loans for paying for the good and/or service. The first is for someone who has enough money set aside to cover some of the upfront costs (e.g. a down payment) and the second is for someone who does not. Additionally, the second person has less money available on a monthly basis and a significantly worse credit score.
1) Make a 20% down payment and finance the balance due using an installment loan paid monthly over a two-year term with an interest rate of 18%, and
2) Make no down payment and finance 100% using an interest rate of 36% for an installment loan paid monthly over a four-year term.
The higher rate and longer term are used in this case since we are simulating a situation where the person is limited in the amount that can be paid monthly, cannot afford a down payment, and has poor credit.
Installment Loan Assignment Tasks
1. Amortisation Table For the Person Who can pay down payment | |||||
Amount Payable | $ 2,000.00 | ||||
Down Payment @20% | $ 400.00 | ||||
Amount to be finance | $ 1,600.00 | ||||
No. of Paytment | 24 | ||||
Monthly Interest rate | 1.50% | ||||
Installment Amount = | Loan | = | 1600 | ||
1 + PVAF(1.5%,23) | 20.3308 | ||||
Installment/Month = | $78.70 | ||||
No. of Payment | Outstanding Amount | Installment | Principal | Interest | Closing Balance |
1 | $ 1,600.00 | $ 78.70 | $78.70 | $0.00 | $ 1,521.30 |
2 | $ 1,521.30 | $ 78.70 | $55.88 | $22.82 | $ 1,465.42 |
3 | $ 1,465.42 | $ 78.70 | $56.72 | $21.98 | $ 1,408.71 |
4 | $ 1,408.71 | $ 78.70 | $57.57 | $21.13 | $ 1,351.14 |
5 | $ 1,351.14 | $ 78.70 | $58.43 | $20.27 | $ 1,292.71 |
6 | $ 1,292.71 | $ 78.70 | $59.31 | $19.39 | $ 1,233.40 |
7 | $ 1,233.40 | $ 78.70 | $60.20 | $18.50 | $ 1,173.20 |
8 | $ 1,173.20 | $ 78.70 | $61.10 | $17.60 | $ 1,112.10 |
9 | $ 1,112.10 | $ 78.70 | $62.02 | $16.68 | $ 1,050.09 |
10 | $ 1,050.09 | $ 78.70 | $62.95 | $15.75 | $ 987.14 |
11 | $ 987.14 | $ 78.70 | $63.89 | $14.81 | $ 923.25 |
12 | $ 923.25 | $ 78.70 | $64.85 | $13.85 | $ 858.40 |
13 | $ 858.40 | $ 78.70 | $65.82 | $12.88 | $ 792.58 |
14 | $ 792.58 | $ 78.70 | $66.81 | $11.89 | $ 725.77 |
15 | $ 725.77 | $ 78.70 | $67.81 | $10.89 | $ 657.96 |
16 | $ 657.96 | $ 78.70 | $68.83 | $9.87 | $ 589.13 |
17 | $ 589.13 | $ 78.70 | $69.86 | $8.84 | $ 519.27 |
18 | $ 519.27 | $ 78.70 | $70.91 | $7.79 | $ 448.36 |
19 | $ 448.36 | $ 78.70 | $71.97 | $6.73 | $ 376.39 |
20 | $ 376.39 | $ 78.70 | $73.05 | $5.65 | $ 303.33 |
21 | $ 303.33 | $ 78.70 | $74.15 | $4.55 | $ 229.18 |
22 | $ 229.18 | $ 78.70 | $75.26 | $3.44 | $ 153.92 |
23 | $ 153.92 | $ 78.70 | $76.39 | $2.31 | $ 77.54 |
24 | $ 77.54 | $ 78.70 | $77.54 | $1.16 | $ 0.00 |
2. Amortisation Table For the Person Who can not pay down payment | |||||
Amount Payable | $ 2,000.00 | ||||
No. of Paytment | 36 | ||||
Amount to be finance | $ 2,000.00 | ||||
Monthly Interest rate | 3.00% | ||||
Installment Amount = | Loan | = | $ 2,000.00 | ||
1 + PVAF(3 %,35) | 22.4872 | ||||
Installment/Month = | $ 88.94 | ||||
No. of Payment | Outstanding Amount | Installment | Principal | Closing Balance | |
1 | $ 2,000.00 | $ 88.94 | $88.94 | $ 1,911.06 | |
2 | $ 1,911.06 | $ - | $31.61 | $ 1,879.45 | |
3 | $ 1,879.45 | $ - | $32.56 | $ 1,846.90 | |
4 | $ 1,846.90 | Principal | $33.53 | $ 1,813.36 | |
5 | $ 1,813.36 | $ 88.94 | $34.54 | $ 1,778.83 | |
6 | $ 1,778.83 | $ 31.61 | $35.57 | $ 1,743.25 | |
7 | $ 1,743.25 | $ 32.56 | $36.64 | $ 1,706.61 | |
8 | $ 1,706.61 | $ 33.53 | $37.74 | $ 1,668.87 | |
9 | $ 1,668.87 | $ 34.54 | $38.87 | $ 1,630.00 | |
10 | $ 1,630.00 | $ 35.57 | $40.04 | $ 1,589.96 | |
11 | $ 1,589.96 | $ 36.64 | $41.24 | $ 1,548.72 | |
12 | $ 1,548.72 | $ 37.74 | $42.48 | $ 1,506.24 | |
13 | $ 1,506.24 | $ 38.87 | $43.75 | $ 1,462.48 | |
14 | $ 1,462.48 | $ 40.04 | $45.06 | $ 1,417.42 | |
15 | $ 1,417.42 | $ 41.24 | $46.42 | $ 1,371.00 | |
16 | $ 1,371.00 | $ 42.48 | $47.81 | $ 1,323.19 | |
17 | $ 1,323.19 | $ 43.75 | $49.24 | $ 1,273.95 | |
18 | $ 1,273.95 | $ 45.06 | $50.72 | $ 1,223.23 | |
19 | $ 1,223.23 | $ 46.42 | $52.24 | $ 1,170.99 | |
20 | $ 1,170.99 | $ 47.81 | $53.81 | $ 1,117.18 | |
21 | $ 1,117.18 | $ 49.24 | $55.42 | $ 1,061.75 | |
22 | $ 1,061.75 | $ 50.72 | $57.09 | $ 1,004.67 | |
23 | $ 1,004.67 | $ 52.24 | $58.80 | $ 945.87 | |
24 | $ 945.87 | $ 53.81 | $60.56 | $ 885.30 | |
25 | $ 885.30 | $ 55.42 | $62.38 | $ 822.92 | |
26 | $ 822.92 | $ 57.09 | $64.25 | $ 758.67 | |
27 | $ 758.67 | $ 58.80 | $66.18 | $ 692.49 | |
28 | $ 692.49 | $ 60.56 | $68.16 | $ 624.33 | |
29 | $ 624.33 | $ 62.38 | $70.21 | $ 554.12 | |
30 | $ 554.12 | $ 64.25 | $72.32 | $ 481.80 | |
31 | $ 481.80 | $ 66.18 | $74.49 | $ 407.32 | |
32 | $ 407.32 | $ 68.16 | $76.72 | $ 330.60 | |
Answer is not taking more than 65000 characters
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