In: Finance
Given the following information, calculate the balloon payment for a partially amortized mortgage. Loan amount: $84,000, Term to maturity: 7 years, Amortization Term: 30 years, Interest rate: 4.5%, Monthly Payment: $425.62. $9,458 $30,620 $73,102 $84,000
The amortization table is as shown below for 7 years (84 months):
| Month | Payment | Interest | Principal | Outstanding |
| 0 | $ 84,000 | |||
| 1 | 425.62 | 315 | 110.62 | $ 83,889 |
| 2 | 425.62 | 314.5852 | 111.0348 | $ 83,778 |
| 3 | 425.62 | 314.1688 | 111.4512 | $ 83,667 |
| 4 | 425.62 | 313.7509 | 111.8691 | $ 83,555 |
| 5 | 425.62 | 313.3313 | 112.2887 | $ 83,443 |
| 6 | 425.62 | 312.9103 | 112.7097 | $ 83,330 |
| 7 | 425.62 | 312.4876 | 113.1324 | $ 83,217 |
| 8 | 425.62 | 312.0634 | 113.5566 | $ 83,103 |
| 9 | 425.62 | 311.6375 | 113.9825 | $ 82,989 |
| 10 | 425.62 | 311.2101 | 114.4099 | $ 82,875 |
| 11 | 425.62 | 310.781 | 114.839 | $ 82,760 |
| 12 | 425.62 | 310.3504 | 115.2696 | $ 82,645 |
| 13 | 425.62 | 309.9181 | 115.7019 | $ 82,529 |
| 14 | 425.62 | 309.4843 | 116.1357 | $ 82,413 |
| 15 | 425.62 | 309.0487 | 116.5713 | $ 82,296 |
| 16 | 425.62 | 308.6116 | 117.0084 | $ 82,179 |
| 17 | 425.62 | 308.1728 | 117.4472 | $ 82,062 |
| 18 | 425.62 | 307.7324 | 117.8876 | $ 81,944 |
| 19 | 425.62 | 307.2903 | 118.3297 | $ 81,826 |
| 20 | 425.62 | 306.8466 | 118.7734 | $ 81,707 |
| 21 | 425.62 | 306.4012 | 119.2188 | $ 81,588 |
| 22 | 425.62 | 305.9541 | 119.6659 | $ 81,468 |
| 23 | 425.62 | 305.5054 | 120.1146 | $ 81,348 |
| 24 | 425.62 | 305.0549 | 120.5651 | $ 81,227 |
| 25 | 425.62 | 304.6028 | 121.0172 | $ 81,106 |
| 26 | 425.62 | 304.149 | 121.471 | $ 80,985 |
| 27 | 425.62 | 303.6935 | 121.9265 | $ 80,863 |
| 28 | 425.62 | 303.2363 | 122.3837 | $ 80,741 |
| 29 | 425.62 | 302.7773 | 122.8427 | $ 80,618 |
| 30 | 425.62 | 302.3167 | 123.3033 | $ 80,494 |
| 31 | 425.62 | 301.8543 | 123.7657 | $ 80,371 |
| 32 | 425.62 | 301.3901 | 124.2299 | $ 80,246 |
| 33 | 425.62 | 300.9243 | 124.6957 | $ 80,122 |
| 34 | 425.62 | 300.4567 | 125.1633 | $ 79,997 |
| 35 | 425.62 | 299.9873 | 125.6327 | $ 79,871 |
| 36 | 425.62 | 299.5162 | 126.1038 | $ 79,745 |
| 37 | 425.62 | 299.0433 | 126.5767 | $ 79,618 |
| 38 | 425.62 | 298.5686 | 127.0514 | $ 79,491 |
| 39 | 425.62 | 298.0922 | 127.5278 | $ 79,364 |
| 40 | 425.62 | 297.614 | 128.006 | $ 79,236 |
| 41 | 425.62 | 297.1339 | 128.4861 | $ 79,107 |
| 42 | 425.62 | 296.6521 | 128.9679 | $ 78,978 |
| 43 | 425.62 | 296.1685 | 129.4515 | $ 78,849 |
| 44 | 425.62 | 295.6831 | 129.9369 | $ 78,719 |
| 45 | 425.62 | 295.1958 | 130.4242 | $ 78,588 |
| 46 | 425.62 | 294.7067 | 130.9133 | $ 78,458 |
| 47 | 425.62 | 294.2158 | 131.4042 | $ 78,326 |
| 48 | 425.62 | 293.723 | 131.897 | $ 78,194 |
| 49 | 425.62 | 293.2284 | 132.3916 | $ 78,062 |
| 50 | 425.62 | 292.7319 | 132.8881 | $ 77,929 |
| 51 | 425.62 | 292.2336 | 133.3864 | $ 77,796 |
| 52 | 425.62 | 291.7334 | 133.8866 | $ 77,662 |
| 53 | 425.62 | 291.2313 | 134.3887 | $ 77,527 |
| 54 | 425.62 | 290.7274 | 134.8926 | $ 77,392 |
| 55 | 425.62 | 290.2215 | 135.3985 | $ 77,257 |
| 56 | 425.62 | 289.7138 | 135.9062 | $ 77,121 |
| 57 | 425.62 | 289.2041 | 136.4159 | $ 76,985 |
| 58 | 425.62 | 288.6926 | 136.9274 | $ 76,848 |
| 59 | 425.62 | 288.1791 | 137.4409 | $ 76,710 |
| 60 | 425.62 | 287.6637 | 137.9563 | $ 76,572 |
| 61 | 425.62 | 287.1463 | 138.4737 | $ 76,434 |
| 62 | 425.62 | 286.6271 | 138.9929 | $ 76,295 |
| 63 | 425.62 | 286.1058 | 139.5142 | $ 76,155 |
| 64 | 425.62 | 285.5827 | 140.0373 | $ 76,015 |
| 65 | 425.62 | 285.0575 | 140.5625 | $ 75,875 |
| 66 | 425.62 | 284.5304 | 141.0896 | $ 75,734 |
| 67 | 425.62 | 284.0013 | 141.6187 | $ 75,592 |
| 68 | 425.62 | 283.4703 | 142.1497 | $ 75,450 |
| 69 | 425.62 | 282.9372 | 142.6828 | $ 75,307 |
| 70 | 425.62 | 282.4021 | 143.2179 | $ 75,164 |
| 71 | 425.62 | 281.8651 | 143.7549 | $ 75,020 |
| 72 | 425.62 | 281.326 | 144.294 | $ 74,876 |
| 73 | 425.62 | 280.7849 | 144.8351 | $ 74,731 |
| 74 | 425.62 | 280.2418 | 145.3782 | $ 74,586 |
| 75 | 425.62 | 279.6966 | 145.9234 | $ 74,440 |
| 76 | 425.62 | 279.1494 | 146.4706 | $ 74,293 |
| 77 | 425.62 | 278.6001 | 147.0199 | $ 74,146 |
| 78 | 425.62 | 278.0488 | 147.5712 | $ 73,999 |
| 79 | 425.62 | 277.4954 | 148.1246 | $ 73,851 |
| 80 | 425.62 | 276.9399 | 148.6801 | $ 73,702 |
| 81 | 425.62 | 276.3824 | 149.2376 | $ 73,553 |
| 82 | 425.62 | 275.8227 | 149.7973 | $ 73,403 |
| 83 | 425.62 | 275.261 | 150.359 | $ 73,253 |
| 84 | 425.62 | 274.6972 | 150.9228 | $ 73,102 |
The ballon payment at the end of 7 years = 73,102 (Option C)