Question
In: Finance
Jebron Lames is considering the purchase of a car, which will cost him $125,000. He will...
- Jebron Lames is considering the purchase of a car, which will cost him $125,000. He will borrow the entire purchase price and make monthly payments over the next five years. The first payment is due next month and the interest rate is 3.10%. He will owe $____ on the car immediately following the 23rd payment.
Solutions
Expert Solution
EMI = Loan / PVAF (r%., n)
PVAF (r%, n) = SUm [ PVF(r%, n) ]
PVF (r%, n) = 1 /(1+r)^n
r - Int Rate per month
n - No. of months
= $ 125,000 / PVAF (0.2583%, 60)
= $ 125000 / 55.5150
= $ 2251.65
Loan Amortization:
| Month | opening Bal | Instalment | Int | Principal Repay | Closing Bal |
| 1 | $ 1,25,000.00 | $ 2,251.65 | $ 322.92 | $ 1,928.73 | $ 1,23,071.27 |
| 2 | $ 1,23,071.27 | $ 2,251.65 | $ 317.93 | $ 1,933.71 | $ 1,21,137.56 |
| 3 | $ 1,21,137.56 | $ 2,251.65 | $ 312.94 | $ 1,938.71 | $ 1,19,198.85 |
| 4 | $ 1,19,198.85 | $ 2,251.65 | $ 307.93 | $ 1,943.72 | $ 1,17,255.14 |
| 5 | $ 1,17,255.14 | $ 2,251.65 | $ 302.91 | $ 1,948.74 | $ 1,15,306.40 |
| 6 | $ 1,15,306.40 | $ 2,251.65 | $ 297.87 | $ 1,953.77 | $ 1,13,352.63 |
| 7 | $ 1,13,352.63 | $ 2,251.65 | $ 292.83 | $ 1,958.82 | $ 1,11,393.81 |
| 8 | $ 1,11,393.81 | $ 2,251.65 | $ 287.77 | $ 1,963.88 | $ 1,09,429.94 |
| 9 | $ 1,09,429.94 | $ 2,251.65 | $ 282.69 | $ 1,968.95 | $ 1,07,460.98 |
| 10 | $ 1,07,460.98 | $ 2,251.65 | $ 277.61 | $ 1,974.04 | $ 1,05,486.95 |
| 11 | $ 1,05,486.95 | $ 2,251.65 | $ 272.51 | $ 1,979.14 | $ 1,03,507.81 |
| 12 | $ 1,03,507.81 | $ 2,251.65 | $ 267.40 | $ 1,984.25 | $ 1,01,523.56 |
| 13 | $ 1,01,523.56 | $ 2,251.65 | $ 262.27 | $ 1,989.38 | $ 99,534.18 |
| 14 | $ 99,534.18 | $ 2,251.65 | $ 257.13 | $ 1,994.52 | $ 97,539.67 |
| 15 | $ 97,539.67 | $ 2,251.65 | $ 251.98 | $ 1,999.67 | $ 95,540.00 |
| 16 | $ 95,540.00 | $ 2,251.65 | $ 246.81 | $ 2,004.83 | $ 93,535.16 |
| 17 | $ 93,535.16 | $ 2,251.65 | $ 241.63 | $ 2,010.01 | $ 91,525.15 |
| 18 | $ 91,525.15 | $ 2,251.65 | $ 236.44 | $ 2,015.21 | $ 89,509.95 |
| 19 | $ 89,509.95 | $ 2,251.65 | $ 231.23 | $ 2,020.41 | $ 87,489.53 |
| 20 | $ 87,489.53 | $ 2,251.65 | $ 226.01 | $ 2,025.63 | $ 85,463.90 |
| 21 | $ 85,463.90 | $ 2,251.65 | $ 220.78 | $ 2,030.86 | $ 83,433.04 |
| 22 | $ 83,433.04 | $ 2,251.65 | $ 215.54 | $ 2,036.11 | $ 81,396.93 |
| 23 | $ 81,396.93 | $ 2,251.65 | $ 210.28 | $ 2,041.37 | $ 79,355.56 |
| 24 | $ 79,355.56 | $ 2,251.65 | $ 205.00 | $ 2,046.64 | $ 77,308.92 |
| 25 | $ 77,308.92 | $ 2,251.65 | $ 199.71 | $ 2,051.93 | $ 75,256.99 |
| 26 | $ 75,256.99 | $ 2,251.65 | $ 194.41 | $ 2,057.23 | $ 73,199.75 |
| 27 | $ 73,199.75 | $ 2,251.65 | $ 189.10 | $ 2,062.55 | $ 71,137.21 |
| 28 | $ 71,137.21 | $ 2,251.65 | $ 183.77 | $ 2,067.87 | $ 69,069.33 |
| 29 | $ 69,069.33 | $ 2,251.65 | $ 178.43 | $ 2,073.22 | $ 66,996.12 |
| 30 | $ 66,996.12 | $ 2,251.65 | $ 173.07 | $ 2,078.57 | $ 64,917.55 |
| 31 | $ 64,917.55 | $ 2,251.65 | $ 167.70 | $ 2,083.94 | $ 62,833.60 |
| 32 | $ 62,833.60 | $ 2,251.65 | $ 162.32 | $ 2,089.33 | $ 60,744.28 |
| 33 | $ 60,744.28 | $ 2,251.65 | $ 156.92 | $ 2,094.72 | $ 58,649.56 |
| 34 | $ 58,649.56 | $ 2,251.65 | $ 151.51 | $ 2,100.13 | $ 56,549.42 |
| 35 | $ 56,549.42 | $ 2,251.65 | $ 146.09 | $ 2,105.56 | $ 54,443.86 |
| 36 | $ 54,443.86 | $ 2,251.65 | $ 140.65 | $ 2,111.00 | $ 52,332.86 |
| 37 | $ 52,332.86 | $ 2,251.65 | $ 135.19 | $ 2,116.45 | $ 50,216.41 |
| 38 | $ 50,216.41 | $ 2,251.65 | $ 129.73 | $ 2,121.92 | $ 48,094.49 |
| 39 | $ 48,094.49 | $ 2,251.65 | $ 124.24 | $ 2,127.40 | $ 45,967.09 |
| 40 | $ 45,967.09 | $ 2,251.65 | $ 118.75 | $ 2,132.90 | $ 43,834.19 |
| 41 | $ 43,834.19 | $ 2,251.65 | $ 113.24 | $ 2,138.41 | $ 41,695.79 |
| 42 | $ 41,695.79 | $ 2,251.65 | $ 107.71 | $ 2,143.93 | $ 39,551.85 |
| 43 | $ 39,551.85 | $ 2,251.65 | $ 102.18 | $ 2,149.47 | $ 37,402.38 |
| 44 | $ 37,402.38 | $ 2,251.65 | $ 96.62 | $ 2,155.02 | $ 35,247.36 |
| 45 | $ 35,247.36 | $ 2,251.65 | $ 91.06 | $ 2,160.59 |
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>>>>>>>>>>>>>>>>>>>>>>>NOTE:
I only need help with question e) and f)
:)<<<<<<<<<<<<<<<<<<<
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