Suppose you are buying your first home for 130000 and you ha

Suppose you are buying your first home for $130,000, and you have $15,000 for your down payment. You have arranged to finance the remainder with a 30-year, monthly payment, amortized mortgage at a 6.5% nominal interest rate, with the first payment due in one month. What will your monthly payments be?

Select the correct answer.

a. $728.68
b. $730.48
c. $725.08
d. $726.88
e. $732.28

Solution

starting principal = cost of house-downpayment = 130000-15000 = 115000

Where

Interest paid = Beginning balance * monthly interest rate

Principal = Monthly payment – interest paid

Ending balance = beginning balance – principal paid

Beginning balance = previous year ending balance

Monthly rate(M)= annual rate/12 0.54% Monthly payment= 726.88
Month Beginning balance (A) Ending balance Interest = M*A Principal paid Ending balance
1 115000 726.878227 622.9166667 103.9615604 114896.0384
2 114896.0384 726.878227 622.3535415 104.5246855 114791.5138
3 114791.5138 726.878227 621.7873662 105.0908608 114686.4229
4 114686.4229 726.878227 621.218124 105.660103 114580.7628
5 114580.7628 726.878227 620.6457984 106.2324286 114474.5304
6 114474.5304 726.878227 620.0703728 106.8078542 114367.7225
7 114367.7225 726.878227 619.4918302 107.3863968 114260.3361
8 114260.3361 726.878227 618.9101539 107.9680731 114152.368
9 114152.368 726.878227 618.3253269 108.5529001 114043.8151
10 114043.8151 726.878227 617.737332 109.140895 113934.6742
11 113934.6742 726.878227 617.1461521 109.7320749 113824.9422
12 113824.9422 726.878227 616.5517701 110.3264569 113714.6157
13 113714.6157 726.878227 615.9541684 110.9240586 113603.6917
14 113603.6917 726.878227 615.3533298 111.5248972 113492.1668
15 113492.1668 726.878227 614.7492366 112.1289904 113380.0378
16 113380.0378 726.878227 614.1418712 112.7363558 113267.3014
17 113267.3014 726.878227 613.531216 113.3470111 113153.9544
18 113153.9544 726.878227 612.917253 113.960974 113039.9934
19 113039.9934 726.878227 612.2999644 114.5782626 112925.4152
20 112925.4152 726.878227 611.6793321 115.1988949 112810.2163
21 112810.2163 726.878227 611.0553381 115.8228889 112694.3934
22 112694.3934 726.878227 610.4279641 116.4502629 112577.9431
23 112577.9431 726.878227 609.7971919 117.0810351 112460.8621
24 112460.8621 726.878227 609.1630029 117.7152241 112343.1469
25 112343.1469 726.878227 608.5253788 118.3528482 112224.794
26 112224.794 726.878227 607.8843009 118.9939261 112105.8001
27 112105.8001 726.878227 607.2397504 119.6384766 111986.1616
28 111986.1616 726.878227 606.5917087 120.2865183 111865.8751
29 111865.8751 726.878227 605.9401567 120.9380703 111744.937
30 111744.937 726.878227 605.2850755 121.5931515 111623.3439
31 111623.3439 726.878227 604.6264459 122.2517811 111501.0921
32 111501.0921 726.878227 603.9642488 122.9139782 111378.1781
33 111378.1781 726.878227 603.2984647 123.5797623 111254.5983
34 111254.5983 726.878227 602.6290744 124.2491527 111130.3492
35 111130.3492 726.878227 601.9560581 124.9221689 111005.427
36 111005.427 726.878227 601.2793964 125.5988307 110879.8282
37 110879.8282 726.878227 600.5990694 126.2791577 110753.549
38 110753.549 726.878227 599.9150573 126.9631698 110626.5859
39 110626.5859 726.878227 599.2273401 127.6508869 110498.935
40 110498.935 726.878227 598.5358978 128.3423292 110370.5926
41 110370.5926 726.878227 597.8407102 129.0375168 110241.5551
42 110241.5551 726.878227 597.141757 129.7364701 110111.8187
43 110111.8187 726.878227 596.4390177 130.4392093 109981.3795
44 109981.3795 726.878227 595.732472 131.145755 109850.2337
45 109850.2337 726.878227 595.0220992 131.8561278 109718.3776
46 109718.3776 726.878227 594.3078785 132.5703485 109585.8072
47 109585.8072 726.878227 593.5897891 133.2884379 109452.5188
48 109452.5188 726.878227 592.8678101 134.010417 109318.5084
49 109318.5084 726.878227 592.1419203 134.7363067 109183.7721
50 109183.7721 726.878227 591.4120986 135.4661284 109048.3059
51 109048.3059 726.878227 590.6783238 136.1999032 108912.106
52 108912.106 726.878227 589.9405743 136.9376527 108775.1684
53 108775.1684 726.878227 589.1988287 137.6793983 108637.489
54 108637.489 726.878227 588.4530653 138.4251617 108499.0638
55 108499.0638 726.878227 587.7032623 139.1749647 108359.8888
56 108359.8888 726.878227 586.9493979 139.9288291 108219.96
57 108219.96 726.878227 586.1914501 140.6867769 108079.2732
58 108079.2732 726.878227 585.4293967 141.4488303 107937.8244
59 107937.8244 726.878227 584.6632156 142.2150115 107795.6094
60 107795.6094 726.878227 583.8928843 142.9853428 107652.6241
61 107652.6241 726.878227 583.1183803 143.7598467 107508.8642
62 107508.8642 726.878227 582.3396811 144.5385459 107364.3257
63 107364.3257 726.878227 581.556764 145.321463 107219.0042
64 107219.0042 726.878227 580.7696061 146.1086209 107072.8956
65 107072.8956 726.878227 579.9781844 146.9000426 106925.9955
66 106925.9955 726.878227 579.1824758 147.6957512 106778.2998
67 106778.2998 726.878227 578.3824572 148.4957698 106629.804
68 106629.804 726.878227 577.5781051 149.3001219 106480.5039
69 106480.5039 726.878227 576.7693961 150.1088309 106330.3951
70 106330.3951 726.878227 575.9563066 150.9219204 106179.4731
71 106179.4731 726.878227 575.1388129 151.7394142 106027.7337
72 106027.7337 726.878227 574.316891 152.561336 105875.1724
73 105875.1724 726.878227 573.4905171 153.3877099 105721.7847
74 105721.7847 726.878227 572.659667 154.21856 105567.5661
75 105567.5661 726.878227 571.8243165 155.0539105 105412.5122
76 105412.5122 726.878227 570.9844412 155.8937859 105256.6184
77 105256.6184 726.878227 570.1400165 156.7382105 105099.8802
78 105099.8802 726.878227 569.2910178 157.5872092 104942.293
79 104942.293 726.878227 568.4374205 158.4408066 104783.8522
80 104783.8522 726.878227 567.5791994 159.2990276 104624.5532
81 104624.5532 726.878227 566.7163297 160.1618973 104464.3913
82 104464.3913 726.878227 565.8487861 161.0294409 104303.3618
83 104303.3618 726.878227 564.9765433 161.9016837 104141.4602
84 104141.4602 726.878227 564.0995758 162.7786512 103978.6815
85 103978.6815 726.878227 563.2178581 163.6603689 103815.0211
86 103815.0211 726.878227 562.3313645 164.5468626 103650.4743
87 103650.4743 726.878227 561.440069 165.4381581 103485.0361
88 103485.0361 726.878227 560.5439456 166.3342814 103318.7018
89 103318.7018 726.878227 559.6429682 167.2352588 103151.4666
90 103151.4666 726.878227 558.7371106 168.1411164 102983.3255
91 102983.3255 726.878227 557.8263462 169.0518808 102814.2736
92 102814.2736 726.878227 556.9106485 169.9675785 102644.306
93 102644.306 726.878227 555.9899908 170.8882362 102473.4178
94 102473.4178 726.878227 555.0643462 171.8138808 102301.6039
95 102301.6039 726.878227 554.1336877 172.7445393 102128.8593
96 102128.8593 726.878227 553.1979881 173.6802389 101955.1791
97 101955.1791 726.878227 552.2572201 174.6210069 101780.5581
98 101780.5581 726.878227 551.3113563 175.5668707 101604.9912
99 101604.9912 726.878227 550.3603691 176.5178579 101428.4734
100 101428.4734 726.878227 549.4042307 177.4739963 101250.9994
101 101250.9994 726.878227 548.4429132 178.4353138 101072.5641
102 101072.5641 726.878227 547.4763886 179.4018384 100893.1622
103 100893.1622 726.878227 546.5046287 180.3735983 100712.7886
104 100712.7886 726.878227 545.527605 181.350622 100531.438
105 100531.438 726.878227 544.5452891 182.3329379 100349.1051
106 100349.1051 726.878227 543.5576524 183.3205746 100165.7845
107 100165.7845 726.878227 542.564666 184.3135611 99981.47092
108 99981.47092 726.878227 541.5663008 185.3119262 99796.159
109 99796.159 726.878227 540.5625279 186.3156991 99609.8433
110 99609.8433 726.878227 539.5533179 187.3249092 99422.51839
111 99422.51839 726.878227 538.5386413 188.3395857 99234.1788
112 99234.1788 726.878227 537.5184685 189.3597585 99044.81904
113 99044.81904 726.878227 536.4927698 190.3854572 98854.43359
114 98854.43359 726.878227 535.4615153 191.4167118 98663.01687
115 98663.01687 726.878227 534.4246747 192.4535523 98470.56332
116 98470.56332 726.878227 533.382218 193.496009 98277.06731
117 98277.06731 726.878227 532.3341146 194.5441124 98082.5232
118 98082.5232 726.878227 531.280334 195.597893 97886.92531
119 97886.92531 726.878227 530.2208454 196.6573816 97690.26793
120 97690.26793 726.878227 529.1556179 197.7226091 97492.54532
121 97492.54532 726.878227 528.0846205 198.7936065 97293.75171
122 97293.75171 726.878227 527.0078218 199.8704052 97093.88131
123 97093.88131 726.878227 525.9251904 200.9530366 96892.92827
124 96892.92827 726.878227 524.8366948 202.0415322 96690.88674
125 96690.88674 726.878227 523.7423032 203.1359239 96487.75081
126 96487.75081 726.878227 522.6419836 204.2362434 96283.51457
127 96283.51457 726.878227 521.5357039 205.3425231 96078.17205
128 96078.17205 726.878227 520.4234319 206.4547951 95871.71725
129 95871.71725 726.878227 519.3051351 207.5730919 95664.14416
130 95664.14416 726.878227 518.1807809 208.6974462 95455.44671
131 95455.44671 726.878227 517.0503364 209.8278907 95245.61882
132 95245.61882 726.878227 515.9137686 210.9644584 95034.65436
133 95034.65436 726.878227 514.7710445 212.1071825 94822.54718
134 94822.54718 726.878227 513.6221306 213.2560964 94609.29109
135 94609.29109 726.878227 512.4669934 214.4112336 94394.87985
136 94394.87985 726.878227 511.3055992 215.5726278 94179.30722
137 94179.30722 726.878227 510.1379141 216.7403129 93962.56691
138 93962.56691 726.878227 508.9639041 217.9143229 93744.65259
139 93744.65259 726.878227 507.7835349 219.0946922 93525.5579
140 93525.5579 726.878227 506.5967719 220.2814551 93305.27644
141 93305.27644 726.878227 505.4035807 221.4746463 93083.80179
142 93083.80179 726.878227 504.2039264 222.6743006 92861.12749
143 92861.12749 726.878227 502.9977739 223.8804531 92637.24704
144 92637.24704 726.878227 501.7850881 225.0931389 92412.1539
145 92412.1539 726.878227 500.5658336 226.3123934 92185.84151
146 92185.84151 726.878227 499.3399748 227.5382522 91958.30326
147 91958.30326 726.878227 498.107476 228.770751 91729.53251
148 91729.53251 726.878227 496.8683011 230.0099259 91499.52258
149 91499.52258 726.878227 495.622414 231.255813 91268.26677
150 91268.26677 726.878227 494.3697783 232.5084487 91035.75832
151 91035.75832 726.878227 493.1103576 233.7678695 90801.99045
152 90801.99045 726.878227 491.8441149 235.0341121 90566.95634
153 90566.95634 726.878227 490.5710135 236.3072135 90330.64912
154 90330.64912 726.878227 489.2910161 237.5872109 90093.06191
155 90093.06191 726.878227 488.0040854 238.8741417 89854.18777
156 89854.18777 726.878227 486.7101838 240.1680433 89614.01973
157 89614.01973 726.878227 485.4092735 241.4689535 89372.55077
158 89372.55077 726.878227 484.1013167 242.7769103 89129.77386
159 89129.77386 726.878227 482.7862751 244.0919519 88885.68191
160 88885.68191 726.878227 481.4641104 245.4141167 88640.26779
161 88640.26779 726.878227 480.1347839 246.7434431 88393.52435
162 88393.52435 726.878227 478.7982569 248.0799701 88145.44438
163 88145.44438 726.878227 477.4544904 249.4237366 87896.02064
164 87896.02064 726.878227 476.1034452 250.7747819 87645.24586
165 87645.24586 726.878227 474.7450818 252.1331453 87393.11272
166 87393.11272 726.878227 473.3793606 253.4988665 87139.61385
167 87139.61385 726.878227 472.0062417 254.8719853 86884.74187
168 86884.74187 726.878227 470.6256851 256.2525419 86628.48932
169 86628.48932 726.878227 469.2376505 257.6405765 86370.84875
170 86370.84875 726.878227 467.8420974 259.0361296 86111.81262
171 86111.81262 726.878227 466.438985 260.439242 85851.37338
172 85851.37338 726.878227 465.0282724 261.8499546 85589.52342
173 85589.52342 726.878227 463.6099185 263.2683085 85326.25511
174 85326.25511 726.878227 462.1838819 264.6943452 85061.56077
175 85061.56077 726.878227 460.7501208 266.1281062 84795.43266
176 84795.43266 726.878227 459.3085936 267.5696334 84527.86303
177 84527.86303 726.878227 457.8592581 269.018969 84258.84406
178 84258.84406 726.878227 456.402072 270.476155 83988.3679
179 83988.3679 726.878227 454.9369928 271.9412342 83716.42667
180 83716.42667 726.878227 453.4639778 273.4142492 83443.01242
181 83443.01242 726.878227 451.9829839 274.8952431 83168.11718
182 83168.11718 726.878227 450.493968 276.384259 82891.73292
183 82891.73292 726.878227 448.9968866 277.8813404 82613.85158
184 82613.85158 726.878227 447.491696 279.386531 82334.46505
185 82334.46505 726.878227 445.9783523 280.8998747 82053.56517
186 82053.56517 726.878227 444.4568113 282.4214157 81771.14376
187 81771.14376 726.878227 442.9270287 283.9511983 81487.19256
188 81487.19256 726.878227 441.3889597 285.4892673 81201.70329
189 81201.70329 726.878227 439.8425595 287.0356675 80914.66762
190 80914.66762 726.878227 438.287783 288.5904441 80626.07718
191 80626.07718 726.878227 436.7245847 290.1536423 80335.92354
192 80335.92354 726.878227 435.1529192 291.7253079 80044.19823
193 80044.19823 726.878227 433.5727404 293.3054866 79750.89274
194 79750.89274 726.878227 431.9840024 294.8942247 79455.99852
195 79455.99852 726.878227 430.3866586 296.4915684 79159.50695
196 79159.50695 726.878227 428.7806626 298.0975644 78861.40938
197 78861.40938 726.878227 427.1659675 299.7122595 78561.69713
198 78561.69713 726.878227 425.5425261 301.3357009 78260.36142
199 78260.36142 726.878227 423.910291 302.967936 77957.39349
200 77957.39349 726.878227 422.2692147 304.6090123 77652.78448
201 77652.78448 726.878227 420.6192492 306.2589778 77346.5255
202 77346.5255 726.878227 418.9603464 307.9178806 77038.60762
203 77038.60762 726.878227 417.2924579 309.5857691 76729.02185
204 76729.02185 726.878227 415.615535 311.262692 76417.75916
205 76417.75916 726.878227 413.9295288 312.9486983 76104.81046
206 76104.81046 726.878227 412.23439 314.643837 75790.16662
207 75790.16662 726.878227 410.5300692 316.3481578 75473.81846
208 75473.81846 726.878227 408.8165167 318.0617103 75155.75675
209 75155.75675 726.878227 407.0936824 319.7845446 74835.97221
210 74835.97221 726.878227 405.3615161 321.5167109 74514.4555
211 74514.4555 726.878227 403.6199673 323.2582597 74191.19724
212 74191.19724 726.878227 401.868985 325.009242 73866.188
213 73866.188 726.878227 400.1085183 326.7697087 73539.41829
214 73539.41829 726.878227 398.3385157 328.5397113 73210.87858
215 73210.87858 726.878227 396.5589256 330.3193014 72880.55927
216 72880.55927 726.878227 394.7696961 332.1085309 72548.45074
217 72548.45074 726.878227 392.9707749 333.9074522 72214.54329
218 72214.54329 726.878227 391.1621095 335.7161175 71878.82717
219 71878.82717 726.878227 389.3436472 337.5345798 71541.29259
220 71541.29259 726.878227 387.5153349 339.3628921 71201.9297
221 71201.9297 726.878227 385.6771192 341.2011078 70860.72859
222 70860.72859 726.878227 383.8289466 343.0492805 70517.67931
223 70517.67931 726.878227 381.970763 344.9074641 70172.77185
224 70172.77185 726.878227 380.1025142 346.7757128 69825.99614
225 69825.99614 726.878227 378.2241457 348.6540813 69477.34206
226 69477.34206 726.878227 376.3356028 350.5426242 69126.79943
227 69126.79943 726.878227 374.4368303 352.4413968 68774.35803
228 68774.35803 726.878227 372.5277727 354.3504543 68420.00758
229 68420.00758 726.878227 370.6083744 356.2698526 68063.73773
230 68063.73773 726.878227 368.6785794 358.1996477 67705.53808
231 67705.53808 726.878227 366.7383313 360.1398957 67345.39818
232 67345.39818 726.878227 364.7875735 362.0906535 66983.30753
233 66983.30753 726.878227 362.8262491 364.0519779 66619.25555
234 66619.25555 726.878227 360.8543009 366.0239261 66253.23163
235 66253.23163 726.878227 358.8716713 368.0065557 65885.22507
236 65885.22507 726.878227 356.8783025 369.9999245 65515.22515
237 65515.22515 726.878227 354.8741362 372.0040908 65143.22106
238 65143.22106 726.878227 352.8591141 374.019113 64769.20194
239 64769.20194 726.878227 350.8331772 376.0450498 64393.15689
240 64393.15689 726.878227 348.7962665 378.0819605 64015.07493
241 64015.07493 726.878227 346.7483226 380.1299045 63634.94503
242 63634.94503 726.878227 344.6892856 382.1889414 63252.75609
243 63252.75609 726.878227 342.6190955 384.2591315 62868.49695
244 62868.49695 726.878227 340.5376918 386.3405352 62482.15642
245 62482.15642 726.878227 338.4450139 388.4332131 62093.72321
246 62093.72321 726.878227 336.3410007 390.5372263 61703.18598
247 61703.18598 726.878227 334.2255907 392.6526363 61310.53334
248 61310.53334 726.878227 332.0987223 394.7795047 60915.75384
249 60915.75384 726.878227 329.9603333 396.9178937 60518.83595
250 60518.83595 726.878227 327.8103614 399.0678656 60119.76808
251 60119.76808 726.878227 325.6487438 401.2294833 59718.5386
252 59718.5386 726.878227 323.4754174 403.4028096 59315.13579
253 59315.13579 726.878227 321.2903188 405.5879082 58909.54788
254 58909.54788 726.878227 319.0933843 407.7848427 58501.76304
255 58501.76304 726.878227 316.8845498 409.9936772 58091.76936
256 58091.76936 726.878227 314.6637507 412.2144763 57679.55488
257 57679.55488 726.878227 312.4309223 414.4473047 57265.10758
258 57265.10758 726.878227 310.1859994 416.6922276 56848.41535
259 56848.41535 726.878227 307.9289165 418.9493105 56429.46604
260 56429.46604 726.878227 305.6596077 421.2186193 56008.24742
261 56008.24742 726.878227 303.3780069 423.5002202 55584.7472
262 55584.7472 726.878227 301.0840473 425.7941797 55158.95302
263 55158.95302 726.878227 298.7776622 428.1005648 54730.85246
264 54730.85246 726.878227 296.4587841 430.4194429 54300.43301
265 54300.43301 726.878227 294.1273455 432.7508815 53867.68213
266 53867.68213 726.878227 291.7832782 435.0949488 53432.58718
267 53432.58718 726.878227 289.4265139 437.4517131 52995.13547
268 52995.13547 726.878227 287.0569838 439.8212432 52555.31423
269 52555.31423 726.878227 284.6746187 442.2036083 52113.11062
270 52113.11062 726.878227 282.2793492 444.5988778 51668.51174
271 51668.51174 726.878227 279.8711053 447.0071218 51221.50462
272 51221.50462 726.878227 277.4498167 449.4284103 50772.07621
273 50772.07621 726.878227 275.0154128 451.8628142 50320.21339
274 50320.21339 726.878227 272.5678226 454.3104045 49865.90299
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