Comments on: Is it possible to figure out a complete amortization table with this information? http://1mortgagecalculator.info/is-it-possible-to-figure-out-a-complete-amortization-table-with-this-information/ Find out your monthly mortgage payment using this free updated mortgage calculator. Get amoritization tables, bi-weekly savings, refinance info and tips to save money on your home loan. Sun, 05 Sep 2010 01:24:49 +0000 hourly 1 http://wordpress.org/?v=3.0.1 By: BobWang http://1mortgagecalculator.info/is-it-possible-to-figure-out-a-complete-amortization-table-with-this-information/comment-page-1/#comment-3450 BobWang Sun, 28 Jun 2009 04:27:27 +0000 http://1mortgagecalculator.info/is-it-possible-to-figure-out-a-complete-amortization-table-with-this-information/#comment-3450 I’m going to assume annual payments with no compounding to make the math easier. In principle, you can do the same with monthly payments, but it gets a lot messier. Number of years N = 30 Payments per year P/YR = 1 Yearly PMT = 4,098.94 + 11,549.53 = 15,648.47 Future Value FV = 0 Let B be the mortgage balance after $11,748.25 interest was paid for that year. Let I = interest rate The following year $11,549.53 in interest was paid, so Equation 1: B*I = 11,549.53 The year of $11,341 in interest has to immediately follow, or I can’t see how to solve this thing, so Equation 2: (B-4,098.94)*I = 11,341 or B*I – 4098.94*I = 11,341 Subtract equation 2 from equation 1 to get 4098.94*I = 208.53 I = .050874128433 = 5.0874128433% PV = 238,176.81 from any financial calculator, or Excel. Download the Excel amortization spreadsheet, and plug in numbers. Made up my own spreadsheet, ran Solver, but can’t get closer than $0.29 for the $11,748.25 interest payment. My solution is interest rate of 5.087% Interest payment of $11,121.86 Principal payment of $4,526.61 Interest5.09% Years30 P/Yr1 Loan amount238,165.85 Rate (per period)5.09% PMT (per period)15,648.47 NumberPMTInterestPrincipalBalance 238,165.85 115,648.4712116.483,531.99234,633.86 215,648.4711936.7933,711.68230,922.18 315,648.4711747.9653,900.51227,021.68 415,648.4711549.534,098.94222,922.74 515,648.47113414,307.47218,615.27 615,648.4711121.8614,526.61214,088.66 715,648.4710891.5744,756.90209,331.76 815,648.4710649.5714,998.90204,332.86 915,648.4710395.2565,253.21199,079.65 1015,648.4710128.0045,520.47193,559.18 1115,648.479847.15485,801.32187,757.87 1215,648.479552.01796,096.45181,661.42 1315,648.479241.86636,406.60175,254.81 1415,648.478915.93596,732.53168,522.28 1515,648.478573.42417,075.05161,447.23 1615,648.478213.48737,434.98154,012.25 1715,648.477835.2397,813.23146,199.02 1815,648.477437.74778,210.72137,988.30 1915,648.477020.03438,628.44129,359.86 2015,648.476581.07029,067.40120,292.46 2115,648.476119.77419,528.70110,763.77 2215,648.475635.0110,013.46100,750.31 2315,648.475125.58410,522.8990,227.42 2415,648.474590.241311,058.2379,169.19 2515,648.474027.663611,620.8167,548.38 2615,648.473436.465212,212.0055,336.38 2715,648.472815.190112,833.2842,503.10 2815,648.472162.308213,486.1629,016.94 2915,648.471476.211414,172.2614,844.68 3015,648.47755.2101414,893.26-48.58 I’m going to assume annual payments with no compounding to make the math easier.
In principle, you can do the same with monthly payments, but it gets a lot messier.

Number of years N = 30
Payments per year P/YR = 1
Yearly PMT = 4,098.94 + 11,549.53 = 15,648.47
Future Value FV = 0

Let B be the mortgage balance after $11,748.25 interest was paid for that year.
Let I = interest rate
The following year $11,549.53 in interest was paid, so

Equation 1: B*I = 11,549.53

The year of $11,341 in interest has to immediately follow, or I can’t see how to solve this thing, so

Equation 2: (B-4,098.94)*I = 11,341 or B*I – 4098.94*I = 11,341

Subtract equation 2 from equation 1 to get

4098.94*I = 208.53
I = .050874128433 = 5.0874128433%
PV = 238,176.81 from any financial calculator, or Excel.

Download the Excel amortization spreadsheet, and plug in numbers.
Made up my own spreadsheet, ran Solver, but can’t get closer than $0.29 for the $11,748.25 interest payment.

My solution is interest rate of 5.087%
Interest payment of $11,121.86
Principal payment of $4,526.61

Interest5.09%
Years30
P/Yr1
Loan amount238,165.85
Rate (per period)5.09%
PMT (per period)15,648.47

NumberPMTInterestPrincipalBalance
238,165.85
115,648.4712116.483,531.99234,633.86
215,648.4711936.7933,711.68230,922.18
315,648.4711747.9653,900.51227,021.68
415,648.4711549.534,098.94222,922.74
515,648.47113414,307.47218,615.27
615,648.4711121.8614,526.61214,088.66
715,648.4710891.5744,756.90209,331.76
815,648.4710649.5714,998.90204,332.86
915,648.4710395.2565,253.21199,079.65
1015,648.4710128.0045,520.47193,559.18
1115,648.479847.15485,801.32187,757.87
1215,648.479552.01796,096.45181,661.42
1315,648.479241.86636,406.60175,254.81
1415,648.478915.93596,732.53168,522.28
1515,648.478573.42417,075.05161,447.23
1615,648.478213.48737,434.98154,012.25
1715,648.477835.2397,813.23146,199.02
1815,648.477437.74778,210.72137,988.30
1915,648.477020.03438,628.44129,359.86
2015,648.476581.07029,067.40120,292.46
2115,648.476119.77419,528.70110,763.77
2215,648.475635.0110,013.46100,750.31
2315,648.475125.58410,522.8990,227.42
2415,648.474590.241311,058.2379,169.19
2515,648.474027.663611,620.8167,548.38
2615,648.473436.465212,212.0055,336.38
2715,648.472815.190112,833.2842,503.10
2815,648.472162.308213,486.1629,016.94
2915,648.471476.211414,172.2614,844.68
3015,648.47755.2101414,893.26-48.58

]]>