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You will consider how to pay for a $2,000 consumer good and/or service someone might need...

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

  • Model each installment loan showing each of the following in an amortization schedule table
    • Payment number starting with 0,
    • monthly payment amounts,
    • interest paid for the period,
    • principal paid for the period, and
    • the principal balance at the end of each period.
  • It must have five columns labeled similarly.
    • You are not permitted to use an online amortization calculator
    • You must use either a Microsoft Excel, Google Sheets, or iWork Numbers spreadsheet to compute and create the amortization schedule
    • The spreadsheet formulas you use to create the table must be correct and yield the proper values. In other words, the values cannot simply be typed into a table.
    • Make sure to show the headings for each column on your tables when they are "printed" or converted to PDF form as they may take more than one page.
    • Clearly show the interest rate factor you found and used to compute the monthly payment. Show the computation of the monthly payment clearly above each table in a similar fashion as part (a) of example 2 shows in the text. Make sure your factor is shown to five decimal places.
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Answer #1
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

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