In: Finance
Sarah secured a bank loan of $165,000 for the purchase of a
house. The mortgage is to be amortized through monthly payments for
a term of 15 years, with an interest rate of 3%/year compounded
monthly on the unpaid balance. She plans to sell her house in 10
years. How much will Sarah still owe on her house at that time?
(Round your answer to the nearest cent.)
$
EMI = Loan / PVAF(r%, n)
PVAF = Sum [ PVF(r%, n)]
EMI = Loan / PVAF(r%, n)
= $ 165,000 / PVAF ( 0.25% , 180)
= $ 165,000 / 144.8055
= $ 1139.46
Loan AMortozation:
Month | Opening Bal | Instalment | Int | Principal repay | Closing Bal |
1 | $ 1,65,000.00 | $ 1,139.46 | $ 412.50 | $ 726.96 | $ 1,64,273.04 |
2 | $ 1,64,273.04 | $ 1,139.46 | $ 410.68 | $ 728.78 | $ 1,63,544.26 |
3 | $ 1,63,544.26 | $ 1,139.46 | $ 408.86 | $ 730.60 | $ 1,62,813.66 |
4 | $ 1,62,813.66 | $ 1,139.46 | $ 407.03 | $ 732.43 | $ 1,62,081.24 |
5 | $ 1,62,081.24 | $ 1,139.46 | $ 405.20 | $ 734.26 | $ 1,61,346.98 |
6 | $ 1,61,346.98 | $ 1,139.46 | $ 403.37 | $ 736.09 | $ 1,60,610.89 |
7 | $ 1,60,610.89 | $ 1,139.46 | $ 401.53 | $ 737.93 | $ 1,59,872.96 |
8 | $ 1,59,872.96 | $ 1,139.46 | $ 399.68 | $ 739.78 | $ 1,59,133.18 |
9 | $ 1,59,133.18 | $ 1,139.46 | $ 397.83 | $ 741.63 | $ 1,58,391.55 |
10 | $ 1,58,391.55 | $ 1,139.46 | $ 395.98 | $ 743.48 | $ 1,57,648.07 |
11 | $ 1,57,648.07 | $ 1,139.46 | $ 394.12 | $ 745.34 | $ 1,56,902.73 |
12 | $ 1,56,902.73 | $ 1,139.46 | $ 392.26 | $ 747.20 | $ 1,56,155.53 |
13 | $ 1,56,155.53 | $ 1,139.46 | $ 390.39 | $ 749.07 | $ 1,55,406.46 |
14 | $ 1,55,406.46 | $ 1,139.46 | $ 388.52 | $ 750.94 | $ 1,54,655.52 |
15 | $ 1,54,655.52 | $ 1,139.46 | $ 386.64 | $ 752.82 | $ 1,53,902.69 |
16 | $ 1,53,902.69 | $ 1,139.46 | $ 384.76 | $ 754.70 | $ 1,53,147.99 |
17 | $ 1,53,147.99 | $ 1,139.46 | $ 382.87 | $ 756.59 | $ 1,52,391.40 |
18 | $ 1,52,391.40 | $ 1,139.46 | $ 380.98 | $ 758.48 | $ 1,51,632.92 |
19 | $ 1,51,632.92 | $ 1,139.46 | $ 379.08 | $ 760.38 | $ 1,50,872.54 |
20 | $ 1,50,872.54 | $ 1,139.46 | $ 377.18 | $ 762.28 | $ 1,50,110.26 |
21 | $ 1,50,110.26 | $ 1,139.46 | $ 375.28 | $ 764.18 | $ 1,49,346.08 |
22 | $ 1,49,346.08 | $ 1,139.46 | $ 373.37 | $ 766.09 | $ 1,48,579.99 |
23 | $ 1,48,579.99 | $ 1,139.46 | $ 371.45 | $ 768.01 | $ 1,47,811.98 |
24 | $ 1,47,811.98 | $ 1,139.46 | $ 369.53 | $ 769.93 | $ 1,47,042.05 |
25 | $ 1,47,042.05 | $ 1,139.46 | $ 367.61 | $ 771.85 | $ 1,46,270.19 |
26 | $ 1,46,270.19 | $ 1,139.46 | $ 365.68 | $ 773.78 | $ 1,45,496.41 |
27 | $ 1,45,496.41 | $ 1,139.46 | $ 363.74 | $ 775.72 | $ 1,44,720.69 |
28 | $ 1,44,720.69 | $ 1,139.46 | $ 361.80 | $ 777.66 | $ 1,43,943.03 |
29 | $ 1,43,943.03 | $ 1,139.46 | $ 359.86 | $ 779.60 | $ 1,43,163.43 |
30 | $ 1,43,163.43 | $ 1,139.46 | $ 357.91 | $ 781.55 | $ 1,42,381.88 |
31 | $ 1,42,381.88 | $ 1,139.46 | $ 355.95 | $ 783.51 | $ 1,41,598.37 |
32 | $ 1,41,598.37 | $ 1,139.46 | $ 354.00 | $ 785.46 | $ 1,40,812.91 |
33 | $ 1,40,812.91 | $ 1,139.46 | $ 352.03 | $ 787.43 | $ 1,40,025.48 |
34 | $ 1,40,025.48 | $ 1,139.46 | $ 350.06 | $ 789.40 | $ 1,39,236.09 |
35 | $ 1,39,236.09 | $ 1,139.46 | $ 348.09 | $ 791.37 | $ 1,38,444.72 |
36 | $ 1,38,444.72 | $ 1,139.46 | $ 346.11 | $ 793.35 | $ 1,37,651.37 |
37 | $ 1,37,651.37 | $ 1,139.46 | $ 344.13 | $ 795.33 | $ 1,36,856.04 |
38 | $ 1,36,856.04 | $ 1,139.46 | $ 342.14 | $ 797.32 | $ 1,36,058.72 |
39 | $ 1,36,058.72 | $ 1,139.46 | $ 340.15 | $ 799.31 | $ 1,35,259.40 |
40 | $ 1,35,259.40 | $ 1,139.46 | $ 338.15 | $ 801.31 | $ 1,34,458.09 |
41 | $ 1,34,458.09 | $ 1,139.46 | $ 336.15 | $ 803.31 | $ 1,33,654.78 |
42 | $ 1,33,654.78 | $ 1,139.46 | $ 334.14 | $ 805.32 | $ 1,32,849.46 |
43 | $ 1,32,849.46 | $ 1,139.46 | $ 332.12 | $ 807.34 | $ 1,32,042.12 |
44 | $ 1,32,042.12 | $ 1,139.46 | $ 330.11 | $ 809.35 | $ 1,31,232.77 |
45 | $ 1,31,232.77 | $ 1,139.46 | $ 328.08 | $ 811.38 | $ 1,30,421.39 |
46 | $ 1,30,421.39 | $ 1,139.46 | $ 326.05 | $ 813.41 | $ 1,29,607.98 |
47 | $ 1,29,607.98 | $ 1,139.46 | $ 324.02 | $ 815.44 | $ 1,28,792.54 |
48 | $ 1,28,792.54 | $ 1,139.46 | $ 321.98 | $ 817.48 | $ 1,27,975.06 |
49 | $ 1,27,975.06 | $ 1,139.46 | $ 319.94 | $ 819.52 | $ 1,27,155.54 |
50 | $ 1,27,155.54 | $ 1,139.46 | $ 317.89 | $ 821.57 | $ 1,26,333.97 |
51 | $ 1,26,333.97 | $ 1,139.46 | $ 315.83 | $ 823.62 | $ 1,25,510.35 |
52 | $ 1,25,510.35 | $ 1,139.46 | $ 313.78 | $ 825.68 | $ 1,24,684.66 |
53 | $ 1,24,684.66 | $ 1,139.46 | $ 311.71 | $ 827.75 | $ 1,23,856.91 |
54 | $ 1,23,856.91 | $ 1,139.46 | $ 309.64 | $ 829.82 | $ 1,23,027.10 |
55 | $ 1,23,027.10 | $ 1,139.46 | $ 307.57 | $ 831.89 | $ 1,22,195.20 |
56 | $ 1,22,195.20 | $ 1,139.46 | $ 305.49 | $ 833.97 | $ 1,21,361.23 |
57 | $ 1,21,361.23 | $ 1,139.46 | $ 303.40 | $ 836.06 | $ 1,20,525.18 |
58 | $ 1,20,525.18 | $ 1,139.46 | $ 301.31 | $ 838.15 | $ 1,19,687.03 |
59 | $ 1,19,687.03 | $ 1,139.46 | $ 299.22 | $ 840.24 | $ 1,18,846.79 |
60 | $ 1,18,846.79 | $ 1,139.46 | $ 297.12 | $ 842.34 | $ 1,18,004.44 |
61 | $ 1,18,004.44 | $ 1,139.46 | $ 295.01 | $ 844.45 | $ 1,17,160.00 |
62 | $ 1,17,160.00 | $ 1,139.46 | $ 292.90 | $ 846.56 | $ 1,16,313.44 |
63 | $ 1,16,313.44 | $ 1,139.46 | $ 290.78 | $ 848.68 | $ 1,15,464.76 |
64 | $ 1,15,464.76 | $ 1,139.46 | $ 288.66 | $ 850.80 | $ 1,14,613.96 |
65 | $ 1,14,613.96 | $ 1,139.46 | $ 286.53 | $ 852.92 | $ 1,13,761.04 |
66 | $ 1,13,761.04 | $ 1,139.46 | $ 284.40 | $ 855.06 | $ 1,12,905.98 |
67 | $ 1,12,905.98 | $ 1,139.46 | $ 282.26 | $ 857.19 | $ 1,12,048.79 |
68 | $ 1,12,048.79 | $ 1,139.46 | $ 280.12 | $ 859.34 | $ 1,11,189.45 |
69 | $ 1,11,189.45 | $ 1,139.46 | $ 277.97 | $ 861.49 | $ 1,10,327.96 |
70 | $ 1,10,327.96 | $ 1,139.46 | $ 275.82 | $ 863.64 | $ 1,09,464.32 |
71 | $ 1,09,464.32 | $ 1,139.46 | $ 273.66 | $ 865.80 | $ 1,08,598.52 |
72 | $ 1,08,598.52 | $ 1,139.46 | $ 271.50 | $ 867.96 | $ 1,07,730.56 |
73 | $ 1,07,730.56 | $ 1,139.46 | $ 269.33 | $ 870.13 | $ 1,06,860.43 |
74 | $ 1,06,860.43 | $ 1,139.46 | $ 267.15 | $ 872.31 | $ 1,05,988.12 |
75 | $ 1,05,988.12 | $ 1,139.46 | $ 264.97 | $ 874.49 | $ 1,05,113.63 |
76 | $ 1,05,113.63 | $ 1,139.46 | $ 262.78 | $ 876.68 | $ 1,04,236.95 |
77 | $ 1,04,236.95 | $ 1,139.46 | $ 260.59 | $ 878.87 | $ 1,03,358.09 |
78 | $ 1,03,358.09 | $ 1,139.46 | $ 258.40 | $ 881.06 | $ 1,02,477.02 |
79 | $ 1,02,477.02 | $ 1,139.46 | $ 256.19 | $ 883.27 | $ 1,01,593.75 |
80 | $ 1,01,593.75 | $ 1,139.46 | $ 253.98 | $ 885.48 | $ 1,00,708.28 |
81 | $ 1,00,708.28 | $ 1,139.46 | $ 251.77 | $ 887.69 | $ 99,820.59 |
82 | $ 99,820.59 | $ 1,139.46 | $ 249.55 | $ 889.91 | $ 98,930.68 |
83 | $ 98,930.68 | $ 1,139.46 | $ 247.33 | $ 892.13 | $ 98,038.55 |
84 | $ 98,038.55 | $ 1,139.46 | $ 245.10 | $ 894.36 | $ 97,144.19 |
85 | $ 97,144.19 | $ 1,139.46 | $ 242.86 | $ 896.60 | $ 96,247.59 |
86 | $ 96,247.59 | $ 1,139.46 | $ 240.62 | $ 898.84 | $ 95,348.75 |
87 | $ 95,348.75 | $ 1,139.46 | $ 238.37 | $ 901.09 | $ 94,447.66 |
88 | $ 94,447.66 | $ 1,139.46 | $ 236.12 | $ 903.34 | $ 93,544.32 |
89 | $ 93,544.32 | $ 1,139.46 | $ 233.86 | $ 905.60 | $ 92,638.72 |
90 | $ 92,638.72 | $ 1,139.46 | $ 231.60 | $ 907.86 | $ 91,730.85 |
91 | $ 91,730.85 | $ 1,139.46 | $ 229.33 | $ 910.13 | $ 90,820.72 |
92 | $ 90,820.72 | $ 1,139.46 | $ 227.05 | $ 912.41 | $ 89,908.31 |
93 | $ 89,908.31 | $ 1,139.46 | $ 224.77 | $ 914.69 | $ 88,993.63 |
94 | $ 88,993.63 | $ 1,139.46 | $ 222.48 | $ 916.98 | $ 88,076.65 |
95 | $ 88,076.65 | $ 1,139.46 | $ 220.19 | $ 919.27 | $ 87,157.38 |
96 | $ 87,157.38 | $ 1,139.46 | $ 217.89 | $ 921.57 | $ 86,235.82 |
97 | $ 86,235.82 | $ 1,139.46 | $ 215.59 | $ 923.87 | $ 85,311.95 |
98 | $ 85,311.95 | $ 1,139.46 | $ 213.28 | $ 926.18 | $ 84,385.77 |
99 | $ 84,385.77 | $ 1,139.46 | $ 210.96 | $ 928.50 | $ 83,457.27 |
100 | $ 83,457.27 | $ 1,139.46 | $ 208.64 | $ 930.82 | $ 82,526.45 |
101 | $ 82,526.45 | $ 1,139.46 | $ 206.32 | $ 933.14 | $ 81,593.31 |
102 | $ 81,593.31 | $ 1,139.46 | $ 203.98 | $ 935.48 | $ 80,657.83 |
103 | $ 80,657.83 | $ 1,139.46 | $ 201.64 | $ 937.82 | $ 79,720.02 |
104 | $ 79,720.02 | $ 1,139.46 | $ 199.30 | $ 940.16 | $ 78,779.86 |
105 | $ 78,779.86 | $ 1,139.46 | $ 196.95 | $ 942.51 | $ 77,837.35 |
106 | $ 77,837.35 | $ 1,139.46 | $ 194.59 | $ 944.87 | $ 76,892.48 |
107 | $ 76,892.48 | $ 1,139.46 | $ 192.23 | $ 947.23 | $ 75,945.25 |
108 | $ 75,945.25 | $ 1,139.46 | $ 189.86 | $ 949.60 | $ 74,995.66 |
109 | $ 74,995.66 | $ 1,139.46 | $ 187.49 | $ 951.97 | $ 74,043.69 |
110 | $ 74,043.69 | $ 1,139.46 | $ 185.11 | $ 954.35 | $ 73,089.34 |
111 | $ 73,089.34 | $ 1,139.46 | $ 182.72 | $ 956.74 | $ 72,132.60 |
112 | $ 72,132.60 | $ 1,139.46 | $ 180.33 | $ 959.13 | $ 71,173.47 |
113 | $ 71,173.47 | $ 1,139.46 | $ 177.93 | $ 961.53 | $ 70,211.95 |
114 | $ 70,211.95 | $ 1,139.46 | $ 175.53 | $ 963.93 | $ 69,248.02 |
115 | $ 69,248.02 | $ 1,139.46 | $ 173.12 | $ 966.34 | $ 68,281.68 |
116 | $ 68,281.68 | $ 1,139.46 | $ 170.70 | $ 968.76 | $ 67,312.92 |
117 | $ 67,312.92 | $ 1,139.46 | $ 168.28 | $ 971.18 | $ 66,341.74 |
118 | $ 66,341.74 | $ 1,139.46 | $ 165.85 | $ 973.61 | $ 65,368.14 |
119 | $ 65,368.14 | $ 1,139.46 | $ 163.42 | $ 976.04 | $ 64,392.10 |
120 | $ 64,392.10 | $ 1,139.46 | $ 160.98 | $ 978.48 | $ 63,413.62 |
121 | $ 63,413.62 | $ 1,139.46 | $ 158.53 | $ 980.93 | $ 62,432.69 |
122 | $ 62,432.69 | $ 1,139.46 | $ 156.08 | $ 983.38 | $ 61,449.32 |
123 | $ 61,449.32 | $ 1,139.46 | $ 153.62 | $ 985.84 | $ 60,463.48 |
124 | $ 60,463.48 | $ 1,139.46 | $ 151.16 | $ 988.30 | $ 59,475.18 |
125 | $ 59,475.18 | $ 1,139.46 | $ 148.69 | $ 990.77 | $ 58,484.41 |
126 | $ 58,484.41 | $ 1,139.46 | $ 146.21 | $ 993.25 | $ 57,491.16 |
127 | $ 57,491.16 | $ 1,139.46 | $ 143.73 | $ 995.73 | $ 56,495.43 |
Bal after 10 years is $ 63,413.62