In: Finance
Jacob can only afford a payment of $500 per month for the new boat he plans to purchase for himself. He qualifies for a 5-year loan with 1.75% APR. What is the maximum purchase price he can afford?
Monthly rate(M)= | yearly rate/12= | 0.15% | Monthly payment= | 500.00 | |
Month | Beginning balance (A) | Monthly payment | Interest = M*A | Principal paid | Ending balance |
1 | 28704.93 | 500.00 | 41.86 | 458.14 | 28246.80 |
2 | 28246.80 | 500.00 | 41.19 | 458.81 | 27787.99 |
3 | 27787.99 | 500.00 | 40.52 | 459.48 | 27328.51 |
4 | 27328.51 | 500.00 | 39.85 | 460.15 | 26868.37 |
5 | 26868.37 | 500.00 | 39.18 | 460.82 | 26407.55 |
6 | 26407.55 | 500.00 | 38.51 | 461.49 | 25946.06 |
7 | 25946.06 | 500.00 | 37.84 | 462.16 | 25483.90 |
8 | 25483.90 | 500.00 | 37.16 | 462.84 | 25021.06 |
9 | 25021.06 | 500.00 | 36.49 | 463.51 | 24557.55 |
10 | 24557.55 | 500.00 | 35.81 | 464.19 | 24093.37 |
11 | 24093.37 | 500.00 | 35.14 | 464.86 | 23628.50 |
12 | 23628.50 | 500.00 | 34.46 | 465.54 | 23162.96 |
13 | 23162.96 | 500.00 | 33.78 | 466.22 | 22696.74 |
14 | 22696.74 | 500.00 | 33.10 | 466.90 | 22229.84 |
15 | 22229.84 | 500.00 | 32.42 | 467.58 | 21762.26 |
16 | 21762.26 | 500.00 | 31.74 | 468.26 | 21293.99 |
17 | 21293.99 | 500.00 | 31.05 | 468.95 | 20825.05 |
18 | 20825.05 | 500.00 | 30.37 | 469.63 | 20355.42 |
19 | 20355.42 | 500.00 | 29.68 | 470.32 | 19885.10 |
20 | 19885.10 | 500.00 | 29.00 | 471.00 | 19414.10 |
21 | 19414.10 | 500.00 | 28.31 | 471.69 | 18942.41 |
22 | 18942.41 | 500.00 | 27.62 | 472.38 | 18470.04 |
23 | 18470.04 | 500.00 | 26.94 | 473.06 | 17996.97 |
24 | 17996.97 | 500.00 | 26.25 | 473.75 | 17523.22 |
25 | 17523.22 | 500.00 | 25.55 | 474.45 | 17048.77 |
26 | 17048.77 | 500.00 | 24.86 | 475.14 | 16573.64 |
27 | 16573.64 | 500.00 | 24.17 | 475.83 | 16097.81 |
28 | 16097.81 | 500.00 | 23.48 | 476.52 | 15621.28 |
29 | 15621.28 | 500.00 | 22.78 | 477.22 | 15144.06 |
30 | 15144.06 | 500.00 | 22.09 | 477.91 | 14666.15 |
31 | 14666.15 | 500.00 | 21.39 | 478.61 | 14187.54 |
32 | 14187.54 | 500.00 | 20.69 | 479.31 | 13708.23 |
33 | 13708.23 | 500.00 | 19.99 | 480.01 | 13228.22 |
34 | 13228.22 | 500.00 | 19.29 | 480.71 | 12747.51 |
35 | 12747.51 | 500.00 | 18.59 | 481.41 | 12266.10 |
36 | 12266.10 | 500.00 | 17.89 | 482.11 | 11783.99 |
37 | 11783.99 | 500.00 | 17.18 | 482.82 | 11301.17 |
38 | 11301.17 | 500.00 | 16.48 | 483.52 | 10817.65 |
39 | 10817.65 | 500.00 | 15.78 | 484.22 | 10333.43 |
40 | 10333.43 | 500.00 | 15.07 | 484.93 | 9848.50 |
41 | 9848.50 | 500.00 | 14.36 | 485.64 | 9362.86 |
42 | 9362.86 | 500.00 | 13.65 | 486.35 | 8876.52 |
43 | 8876.52 | 500.00 | 12.94 | 487.06 | 8389.46 |
44 | 8389.46 | 500.00 | 12.23 | 487.77 | 7901.70 |
45 | 7901.70 | 500.00 | 11.52 | 488.48 | 7413.22 |
46 | 7413.22 | 500.00 | 10.81 | 489.19 | 6924.03 |
47 | 6924.03 | 500.00 | 10.10 | 489.90 | 6434.13 |
48 | 6434.13 | 500.00 | 9.38 | 490.62 | 5943.51 |
49 | 5943.51 | 500.00 | 8.67 | 491.33 | 5452.18 |
50 | 5452.18 | 500.00 | 7.95 | 492.05 | 4960.13 |
51 | 4960.13 | 500.00 | 7.23 | 492.77 | 4467.36 |
52 | 4467.36 | 500.00 | 6.51 | 493.49 | 3973.88 |
53 | 3973.88 | 500.00 | 5.80 | 494.20 | 3479.67 |
54 | 3479.67 | 500.00 | 5.07 | 494.93 | 2984.75 |
55 | 2984.75 | 500.00 | 4.35 | 495.65 | 2489.10 |
56 | 2489.10 | 500.00 | 3.63 | 496.37 | 1992.73 |
57 | 1992.73 | 500.00 | 2.91 | 497.09 | 1495.64 |
58 | 1495.64 | 500.00 | 2.18 | 497.82 | 997.82 |
59 | 997.82 | 500.00 | 1.46 | 498.54 | 499.27 |
60 | 499.27 | 500.00 | 0.73 | 499.27 | 0.00 |
Where |
Interest paid = Beginning balance * Monthly interest rate |
Principal = Monthly payment – interest paid |
Ending balance = beginning balance – principal paid |
Beginning balance = previous Month ending balance |
he can afford 28704.93