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A car is purchased with a 48 month and 9%/year compounding monthly rate with an initial balance of $15000. What is the balance due half way through the 4 years?
For example.. I want it looks like that.
01 cf 150000 -1000 -1000 -1000 -1000 4000 cf -200000 -1500 1500 1500 1500 5500 0 2 4 ($535.27) ($1,159.39) pv ($150,535.27) ($201,159.39)
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Answer #1

PVIFA for n=48, i=996/12 i.e. 0.75% :40.185 Monthly payment to be made for 48 month loan of $15,000; 9% pa rate compounded monthly is $15,000/40.185 $260.78 rincipa CI Principal Month Op PrincipaInterest Repaid Amount (a * 0.75%) | ($373.28-b) | (a-c) 1 15,000.00 112.50$ 260.78 14,739.22 2 $ 14,739.22$110.54$ 262.73$ 14,476.49 3 $ 108.57 264.70 14,211.79 4 $ 14,211.79 106.59 266.69 13,945.10 5 $ 13,945.10$104.59 $ 268.69 $ 13,676.42 6 $13,676.42 102.57$270.70$ 13,405.71 7 $ 13,405.71100.54$ 272.73 13,132.98 8 $ 13,132.98 98.50 $274.7812,858.20 9 $ 12,858.20 $ 10 12,581.36 $94.36 278.92 12,302.45 11 12,302.4592.27$281.0112,021.44 12 $12,021.44 $ 13 $ 11,738.33$88.04$285.24 $ 11,453.09 14 $ 11,453.09 S 15 11,165.7183.74 $ 289.5310,876.18 16 $10,876.18 $ 17 $ 10,584.47 $ 18 $ 10,290.58 $ 19 $ 9,994.49 $ 20 $ 9,696.17$72.72$ 300.55$ 9,395.61 21$ 9,395.61 $ 22 $ 9,092.81| 68.20 305.08 8,787.73 23 |$8,787.73 | $ б591 | $ 307.37 | $ 8,480.36 24 $ 8,480.36$ 63.60$309.67$ 8,170.68 25 |$ 8,170.68|$ 26 $ 7,858.69 $ 27 $7,544.35$ 28$ 7,227.66 $ 29 $ 6,908.59 51.81 321.46 6,587.13 30 6,587.1349.40 $323.87 6,263.26 31 $ 6,263.26 $ 32 $ 5,936.96 33 $ 5,608.21 $ 34 $ 5,277.0039.58$333.70 4,943.30 35 $ 4,943.30 $ 36 S 4,607.10S 34.55 S 33.72S4,268.37 37 $ 4,268.37$ 38 $3,927.11 $ 39 40 $ 3,236.89 $ 41 2,887.8921.66 351.62 2,536.27 42 $ 2,536.27 $ 43 $ 2,182.02$16.37 $ 356.91 $ 1,825.11 44 $ 1,825.11 13.69359.59 1,465.52 45 S 1,465.52 $ 46 $ 1,103.24 $ 47 $ 738.24 $ 48 370.50 $ 14,476.49 $ 96.44$ 276.84$ 12,581.36 90.16 283.11 $ 11,738.33 85.90$ 287.38 $ 11,165.71 81.57 291.70$ 10,584.47 79.38 293.8910,290.58 77.18 $ 296.10 9,994.49 74.96 $ 298.32 $9,696.17 70.47 $ 302.81$ 9,092.81 61.28 312.00$7,858.69 58.94$ 314.34$ 7,544.35 56.58 $ 316.69$ 7,227.66 54.21$ 319.07$ 6,908.59 46.97$ 326.30 $ 5,936.96 $44.53 328.75 5,608.21 42.06 331.21 5,277.00 37.07 $ 336.20 $ 4,607.10 $32.01 341.26 3,927.11 29.45$343.82$ 3,583.29 26.87 $ 346.40 $ 3,236.89 24.28 $ 349.002,887.89 19.02 354.25$ 2,182.02 10.99 $ 362.28 $ 1,103.24 8.27 $ 365.00 $ 5.54$ 367.74$ 2.78 $ 370.50 $ 738.24 370.50

From the above, we can see that the balance due after 24 months of repayment is $8,170.68.

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