Please complete on Excel and show any computations
Thank you
Q1-5 Following the instructions,amortization chart prepared in excel:
Price of the car | 100,000 | |||
Best interest rate available | 5% | |||
Downpayment | 10% | |||
Financing required | 90000 | |||
Tenure (Months) | 48 | |||
Monthly Payment (PMT) | $2,073.00 | |||
Months | EMI | Interest | Principal | Balance |
1 | $2,073.00 | 375 | $1,698.00 | $88,302.00 |
2 | $2,073.00 | $367.93 | $1,705.08 | $86,596.93 |
3 | $2,073.00 | $360.82 | $1,712.18 | $84,884.75 |
4 | $2,073.00 | $353.69 | $1,719.31 | $83,165.43 |
5 | $2,073.00 | $346.52 | $1,726.48 | $81,438.95 |
6 | $2,073.00 | $339.33 | $1,733.67 | $79,705.28 |
7 | $2,073.00 | $332.11 | $1,740.89 | $77,964.39 |
8 | $2,073.00 | $324.85 | $1,748.15 | $76,216.24 |
9 | $2,073.00 | $317.57 | $1,755.43 | $74,460.81 |
10 | $2,073.00 | $310.25 | $1,762.75 | $72,698.06 |
11 | $2,073.00 | $302.91 | $1,770.09 | $70,927.97 |
12 | $2,073.00 | $295.53 | $1,777.47 | $69,150.50 |
13 | $2,073.00 | $288.13 | $1,784.87 | $67,365.63 |
14 | $2,073.00 | $280.69 | $1,792.31 | $65,573.32 |
15 | $2,073.00 | $273.22 | $1,799.78 | $63,773.54 |
16 | $2,073.00 | $265.72 | $1,807.28 | $61,966.27 |
17 | $2,073.00 | $258.19 | $1,814.81 | $60,151.46 |
18 | $2,073.00 | $250.63 | $1,822.37 | $58,329.09 |
19 | $2,073.00 | $243.04 | $1,829.96 | $56,499.13 |
20 | $2,073.00 | $235.41 | $1,837.59 | $54,661.54 |
21 | $2,073.00 | $227.76 | $1,845.24 | $52,816.30 |
22 | $2,073.00 | $220.07 | $1,852.93 | $50,963.36 |
23 | $2,073.00 | $212.35 | $1,860.65 | $49,102.71 |
24 | $2,073.00 | $204.59 | $1,868.41 | $47,234.31 |
25 | $2,073.00 | $196.81 | $1,876.19 | $45,358.12 |
26 | $2,073.00 | $188.99 | $1,884.01 | $43,474.11 |
27 | $2,073.00 | $181.14 | $1,891.86 | $41,582.25 |
28 | $2,073.00 | $173.26 | $1,899.74 | $39,682.51 |
29 | $2,073.00 | $165.34 | $1,907.66 | $37,774.85 |
30 | $2,073.00 | $157.40 | $1,915.60 | $35,859.25 |
31 | $2,073.00 | $149.41 | $1,923.59 | $33,935.66 |
32 | $2,073.00 | $141.40 | $1,931.60 | $32,004.06 |
33 | $2,073.00 | $133.35 | $1,939.65 | $30,064.41 |
34 | $2,073.00 | $125.27 | $1,947.73 | $28,116.68 |
35 | $2,073.00 | $117.15 | $1,955.85 | $26,160.83 |
36 | $2,073.00 | $109.00 | $1,964.00 | $24,196.84 |
37 | $2,073.00 | $100.82 | $1,972.18 | $22,224.66 |
38 | $2,073.00 | $92.60 | $1,980.40 | $20,244.26 |
39 | $2,073.00 | $84.35 | $1,988.65 | $18,255.61 |
40 | $2,073.00 | $76.07 | $1,996.93 | $16,258.68 |
41 | $2,073.00 | $67.74 | $2,005.26 | $14,253.42 |
42 | $2,073.00 | $59.39 | $2,013.61 | $12,239.81 |
43 | $2,073.00 | $51.00 | $2,022.00 | $10,217.81 |
44 | $2,073.00 | $42.57 | $2,030.43 | $8,187.38 |
45 | $2,073.00 | $34.11 | $2,038.89 | $6,148.50 |
46 | $2,073.00 | $25.62 | $2,047.38 | $4,101.12 |
47 | $2,073.00 | $17.09 | $2,055.91 | $2,045.20 |
48 | $2,073.00 | $8.52 | $2,064.48 | ($19.28) |
With Formulas:
Monthly payment calculated using calculator = $2073;
Interest for each month = Principal outstanding * Interest rate/12
Principal amount paid = Monthly Instalment - Interest paid
Balance outstanding = Previous/Beginning period balance - principal amount paid in the month
6. Total Interest paid with 48 months tenure = $9485
7. Changing period to 72 months:
Price of the car | 100,000 | |||
Best interest rate available | 5% | |||
Downpayment | 10% | |||
Financing required | 90000 | |||
Tenure (Months) | 72 | |||
Monthly Payment (PMT) | $1,449.44 | |||
Months | EMI | Interest | Principal | Balance |
1 | $1,449.44 | 375 | $1,074.44 | $88,925.56 |
2 | $1,449.44 | $370.52 | $1,078.92 | $87,846.64 |
3 | $1,449.44 | $366.03 | $1,083.41 | $86,763.23 |
4 | $1,449.44 | $361.51 | $1,087.93 | $85,675.30 |
5 | $1,449.44 | $356.98 | $1,092.46 | $84,582.84 |
6 | $1,449.44 | $352.43 | $1,097.01 | $83,485.83 |
7 | $1,449.44 | $347.86 | $1,101.58 | $82,384.25 |
8 | $1,449.44 | $343.27 | $1,106.17 | $81,278.08 |
9 | $1,449.44 | $338.66 | $1,110.78 | $80,167.30 |
10 | $1,449.44 | $334.03 | $1,115.41 | $79,051.89 |
11 | $1,449.44 | $329.38 | $1,120.06 | $77,931.83 |
12 | $1,449.44 | $324.72 | $1,124.72 | $76,807.11 |
13 | $1,449.44 | $320.03 | $1,129.41 | $75,677.70 |
14 | $1,449.44 | $315.32 | $1,134.12 | $74,543.58 |
15 | $1,449.44 | $310.60 | $1,138.84 | $73,404.74 |
16 | $1,449.44 | $305.85 | $1,143.59 | $72,261.15 |
17 | $1,449.44 | $301.09 | $1,148.35 | $71,112.80 |
18 | $1,449.44 | $296.30 | $1,153.14 | $69,959.66 |
19 | $1,449.44 | $291.50 | $1,157.94 | $68,801.72 |
20 | $1,449.44 | $286.67 | $1,162.77 | $67,638.96 |
21 | $1,449.44 | $281.83 | $1,167.61 | $66,471.34 |
22 | $1,449.44 | $276.96 | $1,172.48 | $65,298.87 |
23 | $1,449.44 | $272.08 | $1,177.36 | $64,121.51 |
24 | $1,449.44 | $267.17 | $1,182.27 | $62,939.24 |
25 | $1,449.44 | $262.25 | $1,187.19 | $61,752.05 |
26 | $1,449.44 | $257.30 | $1,192.14 | $60,559.91 |
27 | $1,449.44 | $252.33 | $1,197.11 | $59,362.80 |
28 | $1,449.44 | $247.34 | $1,202.10 | $58,160.70 |
29 | $1,449.44 | $242.34 | $1,207.10 | $56,953.60 |
30 | $1,449.44 | $237.31 | $1,212.13 | $55,741.47 |
31 | $1,449.44 | $232.26 | $1,217.18 | $54,524.28 |
32 | $1,449.44 | $227.18 | $1,222.26 | $53,302.03 |
33 | $1,449.44 | $222.09 | $1,227.35 | $52,074.68 |
34 | $1,449.44 | $216.98 | $1,232.46 | $50,842.22 |
35 | $1,449.44 | $211.84 | $1,237.60 | $49,604.62 |
36 | $1,449.44 | $206.69 | $1,242.75 | $48,361.87 |
37 | $1,449.44 | $201.51 | $1,247.93 | $47,113.93 |
38 | $1,449.44 | $196.31 | $1,253.13 | $45,860.80 |
39 | $1,449.44 | $191.09 | $1,258.35 | $44,602.45 |
40 | $1,449.44 | $185.84 | $1,263.60 | $43,338.85 |
41 | $1,449.44 | $180.58 | $1,268.86 | $42,069.99 |
42 | $1,449.44 | $175.29 | $1,274.15 | $40,795.84 |
43 | $1,449.44 | $169.98 | $1,279.46 | $39,516.39 |
44 | $1,449.44 | $164.65 | $1,284.79 | $38,231.60 |
45 | $1,449.44 | $159.30 | $1,290.14 | $36,941.46 |
46 | $1,449.44 | $153.92 | $1,295.52 | $35,645.94 |
47 | $1,449.44 | $148.52 | $1,300.92 | $34,345.02 |
48 | $1,449.44 | $143.10 | $1,306.34 | $33,038.69 |
49 | $1,449.44 | $137.66 | $1,311.78 | $31,726.91 |
50 | $1,449.44 | $132.20 | $1,317.24 | $30,409.66 |
51 | $1,449.44 | $126.71 | $1,322.73 | $29,086.93 |
52 | $1,449.44 | $121.20 | $1,328.24 | $27,758.69 |
53 | $1,449.44 | $115.66 | $1,333.78 | $26,424.91 |
54 | $1,449.44 | $110.10 | $1,339.34 | $25,085.57 |
55 | $1,449.44 | $104.52 | $1,344.92 | $23,740.65 |
56 | $1,449.44 | $98.92 | $1,350.52 | $22,390.13 |
57 | $1,449.44 | $93.29 | $1,356.15 | $21,033.99 |
58 | $1,449.44 | $87.64 | $1,361.80 | $19,672.19 |
59 | $1,449.44 | $81.97 | $1,367.47 | $18,304.71 |
60 | $1,449.44 | $76.27 | $1,373.17 | $16,931.54 |
61 | $1,449.44 | $70.55 | $1,378.89 | $15,552.65 |
62 | $1,449.44 | $64.80 | $1,384.64 | $14,168.02 |
63 | $1,449.44 | $59.03 | $1,390.41 | $12,777.61 |
64 | $1,449.44 | $53.24 | $1,396.20 | $11,381.41 |
65 | $1,449.44 | $47.42 | $1,402.02 | $9,979.39 |
66 | $1,449.44 | $41.58 | $1,407.86 | $8,571.53 |
67 | $1,449.44 | $35.71 | $1,413.73 | $7,157.81 |
68 | $1,449.44 | $29.82 | $1,419.62 | $5,738.19 |
69 | $1,449.44 | $23.91 | $1,425.53 | $4,312.66 |
70 | $1,449.44 | $17.97 | $1,431.47 | $2,881.19 |
71 | $1,449.44 | $12.00 | $1,437.44 | $1,443.75 |
72 | $1,449.44 | $6.02 | $1,443.42 | $0.33 |
WITH FORMULAS:
Monthly payment calculated using calculator = $1449.44;
Interest for each month = Principal outstanding * Interest rate/12
Principal amount paid = Monthly Instalment - Interest paid
Balance outstanding = Previous/Beginning period balance - principal amount paid in the month
8. Interest charged in 72 months period = $14,360
9. Interest charged in 48 month period loan is $9485 while that charged in 72 month period is $14,360. Hence we can conclude 72 month period loan is more costly
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