The PMT formula is easy to use with Excel in a problem like this:
=PMT(.14,10,20000,0)
You can also construct a table to prove the result, as shown ...
Cheers,
ξ
<b>Excel 2010</b><table cellpadding="2.5px" rules="all" style=";background-color: #FFFFFF;border: 1px solid;border-collapse: collapse; border-color: #BBB"><colgroup><col width="25px" style="background-color: #DAE7F5" /><col /><col /><col /><col /><col /><col /></colgroup><thead><tr style=" background-color: #DAE7F5;text-align: center;color: #161120"><th></th><th>A</th><th>B</th><th>C</th><th>D</th><th>E</th><th>F</th></tr></thead><tbody><tr ><td style="color: #161120;text-align: center;">1</td><td style="text-align: right;;"></td><td style="text-align: right;;">20000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">2</td><td style="text-align: right;;"></td><td style="text-align: right;;">14.00%</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">3</td><td style="text-align: right;;"></td><td style="text-align: right;;">10</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">4</td><td style="text-align: right;;"></td><td style="text-align: right;;">-$3,834.27</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">5</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">6</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">7</td><td style="text-align: right;border-bottom: 1px solid black;;"></td><td style="font-weight: bold;text-align: right;border-bottom: 1px solid black;;">PMT
Number</td><td style="font-weight: bold;text-align: right;border-bottom: 1px solid black;;">PMT</td><td style="font-weight: bold;text-align: right;border-bottom: 1px solid black;;">Interest</td><td style="font-weight: bold;text-align: right;border-bottom: 1px solid black;;">Reduce
Principal</td><td style="font-weight: bold;text-align: right;border-bottom: 1px solid black;;">Carrying
Value</td></tr><tr ><td style="color: #161120;text-align: center;">8</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2010</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">20,000.00</td></tr><tr ><td style="color: #161120;text-align: center;">9</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;"></td></tr><tr ><td style="color: #161120;text-align: center;">10</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2011</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2,800.00</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,034.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">18,965.73</td></tr><tr ><td style="color: #161120;text-align: center;">11</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2012</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2,655.20</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,179.07</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">17,786.66</td></tr><tr ><td style="color: #161120;text-align: center;">12</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2013</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2,490.13</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,344.14</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">16,442.52</td></tr><tr ><td style="color: #161120;text-align: center;">13</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2014</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">4</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2,301.95</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,532.32</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">14,910.20</td></tr><tr ><td style="color: #161120;text-align: center;">14</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2015</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">5</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2,087.43</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,746.84</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">13,163.36</td></tr><tr ><td style="color: #161120;text-align: center;">15</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2016</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">6</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,842.87</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,991.40</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">11,171.96</td></tr><tr ><td style="color: #161120;text-align: center;">16</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2017</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">7</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,564.07</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2,270.20</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">8,901.77</td></tr><tr ><td style="color: #161120;text-align: center;">17</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2018</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">8</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">1,246.25</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2,588.02</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">6,313.74</td></tr><tr ><td style="color: #161120;text-align: center;">18</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2019</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">9</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">883.92</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">2,950.35</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,363.40</td></tr><tr ><td style="color: #161120;text-align: center;">19</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">Jan 1, 2020</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">10</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,834.27</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">470.88</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">3,363.40</td><td style="text-align: right;border-top: 1px solid black;border-right: 1px solid black;border-bottom: 1px solid black;border-left: 1px solid black;;">0.00</td></tr></tbody></table><p style="width:3.6em;font-weight:bold;margin:0;padding:0.2em 0.6em 0.2em 0.5em;border: 1px solid #BBB;border-top:none;text-align: center;background-color: #DAE7F5;color: #161120">Sheet1</p><br /><br /><table width="85%" cellpadding="2.5px" rules="all" style=";border: 2px solid black;border-collapse:collapse;padding: 0.4em;background-color: #FFFFFF" ><tr><td style="padding:6px" ><b>Worksheet Formulas</b><table cellpadding="2.5px" width="100%" rules="all" style="border: 1px solid;text-align:center;background-color: #FFFFFF;border-collapse: collapse; border-color: #BBB"><thead><tr style=" background-color: #DAE7F5;color: #161120"><th width="10px">Cell</th><th style="text-align:left;padding-left:5px;">Formula</th></tr></thead><tbody><tr><th width="10px" style=" background-color: #DAE7F5;color: #161120">B4</th><td style="text-align:left">=PMT(<font color="Blue">B2,B3,B1,0</font>)</td></tr><tr><th width="10px" style=" background-color: #DAE7F5;color: #161120">C10</th><td style="text-align:left">=-$B$4</td></tr><tr><th width="10px" style=" background-color: #DAE7F5;color: #161120">D10</th><td style="text-align:left">=$B$2*F8</td></tr><tr><th width="10px" style=" background-color: #DAE7F5;color: #161120">E10</th><td style="text-align:left">=C10-D10</td></tr><tr><th width="10px" style=" background-color: #DAE7F5;color: #161120">F10</th><td style="text-align:left">=F8-E10</td></tr><tr><th width="10px" style=" background-color: #DAE7F5;color: #161120">A10</th><td style="text-align:left">=DATE(<font color="Blue">YEAR(<font color="Red">A8</font>)+1,1,1</font>)</td></tr></tbody></table></td></tr></table><br />
