NPER Calculation (Incorrect Answer)

DickT

New Member
Joined
Jun 22, 2011
Messages
1
Dear All

I want to calculate the remaining period (in months) of a EUR10,000 loan where I have already paid EUR1,000. The interest rate is 12% and my monthly payments are EUR100 at the beginning of each month. This is in fact the example that can be found on MS Excel 2003 and 2007 for the NPER function.

The formula is:

=NPER(12%/12,-100,-1000,10000,1)

The result is 59.67 that is, almost 60 months.

The problem is this answer. If I am going to pay the remaining EUR9,000 over 60months at EUR100 this would work out as EUR6,000. A difference of EUR 3,000.

An assistance anyone can provide will be much appreciated.

Regards
 

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The formula you provided is, in fact, from the help files. However, it does not model your situation.

What you have is a Loan of $9000 that you are paying $100 on each month, and a 12% annual interest is being charged to that loan each year. It will actually take ~223 months to pay off that loan.

Excel 2007<TABLE style="BORDER-RIGHT: #a6aab6 1px solid; BORDER-TOP: #a6aab6 1px solid; BORDER-LEFT: #a6aab6 1px solid; BORDER-BOTTOM: #a6aab6 1px solid; BORDER-COLLAPSE: collapse; BACKGROUND-COLOR: #ffffff" cellPadding=2 rules=all><COLGROUP><COL style="BACKGROUND-COLOR: #e0e0f0" width=25><COL><COL></COLGROUP><THEAD><TR style="COLOR: #161120; BACKGROUND-COLOR: #e0e0f0; TEXT-ALIGN: center"><TH></TH><TH>A</TH><TH>B</TH></TR></THEAD><TBODY><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">1</TD><TD>Loan Amt</TD><TD style="TEXT-ALIGN: right">9000</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">2</TD><TD>Payment Amt</TD><TD style="TEXT-ALIGN: right">100</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">3</TD><TD>Interest Rate</TD><TD style="TEXT-ALIGN: right">12%</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">4</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>N Payments</TD><TD style="TEXT-ALIGN: right">222.8293</TD></TR></TBODY></TABLE>
Sheet1


<TABLE style="BORDER-RIGHT: black 2px solid; PADDING-RIGHT: 0.4em; BORDER-TOP: black 2px solid; PADDING-LEFT: 0.4em; PADDING-BOTTOM: 0.4em; BORDER-LEFT: black 2px solid; PADDING-TOP: 0.4em; BORDER-BOTTOM: black 2px solid; BORDER-COLLAPSE: collapse; BACKGROUND-COLOR: #ffffff" cellPadding=2 rules=all width="85%"><TBODY><TR><TD style="PADDING-RIGHT: 6px; PADDING-LEFT: 6px; PADDING-BOTTOM: 6px; PADDING-TOP: 6px">Worksheet Formulas<TABLE style="BORDER-RIGHT: #a6aab6 1px solid; BORDER-TOP: #a6aab6 1px solid; BORDER-LEFT: #a6aab6 1px solid; BORDER-BOTTOM: #a6aab6 1px solid; BORDER-COLLAPSE: collapse; BACKGROUND-COLOR: #ffffff; TEXT-ALIGN: center" cellPadding=2 rules=all width="100%"><THEAD><TR style="COLOR: #161120; BACKGROUND-COLOR: #e0e0f0"><TH width=10>Cell</TH><TH style="PADDING-LEFT: 5px; TEXT-ALIGN: left">Formula</TH></TR></THEAD><TBODY><TR><TH style="COLOR: #161120; BACKGROUND-COLOR: #e0e0f0" width=10>B5</TH><TD style="TEXT-ALIGN: left">=NPER(B3/12,B2,-B1,0,1)</TD></TR></TBODY></TABLE></TD></TR></TBODY></TABLE>


The problem is that you are barely paying anything on the principal, because the interest rate is so high. Here is the first 10 rows of an amortization table which illustrates how slow the balance goes down:

Excel 2007<TABLE style="BORDER-RIGHT: #a6aab6 1px solid; BORDER-TOP: #a6aab6 1px solid; BORDER-LEFT: #a6aab6 1px solid; BORDER-BOTTOM: #a6aab6 1px solid; BORDER-COLLAPSE: collapse; BACKGROUND-COLOR: #ffffff" cellPadding=2 rules=all><COLGROUP><COL style="BACKGROUND-COLOR: #e0e0f0" width=25><COL><COL><COL><COL></COLGROUP><THEAD><TR style="COLOR: #161120; BACKGROUND-COLOR: #e0e0f0; TEXT-ALIGN: center"><TH></TH><TH>D</TH><TH>E</TH><TH>F</TH><TH>G</TH></TR></THEAD><TBODY><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">1</TD><TD>Period</TD><TD>Payment</TD><TD>Balance</TD><TD>Interest Accrued</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">2</TD><TD style="TEXT-ALIGN: right">1</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-9000</TD><TD style="TEXT-ALIGN: right">-89</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">3</TD><TD style="TEXT-ALIGN: right">2</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8989</TD><TD style="TEXT-ALIGN: right">-88.89</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">4</TD><TD style="TEXT-ALIGN: right">3</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8977.89</TD><TD style="TEXT-ALIGN: right">-88.7789</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">5</TD><TD style="TEXT-ALIGN: right">4</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8966.67</TD><TD style="TEXT-ALIGN: right">-88.666689</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">6</TD><TD style="TEXT-ALIGN: right">5</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8955.34</TD><TD style="TEXT-ALIGN: right">-88.55335589</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">7</TD><TD style="TEXT-ALIGN: right">6</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8943.89</TD><TD style="TEXT-ALIGN: right">-88.43888945</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">8</TD><TD style="TEXT-ALIGN: right">7</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8932.33</TD><TD style="TEXT-ALIGN: right">-88.32327834</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">9</TD><TD style="TEXT-ALIGN: right">8</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8920.65</TD><TD style="TEXT-ALIGN: right">-88.20651113</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">10</TD><TD style="TEXT-ALIGN: right">9</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8908.86</TD><TD style="TEXT-ALIGN: right">-88.08857624</TD></TR><TR><TD style="COLOR: #161120; TEXT-ALIGN: center">11</TD><TD style="TEXT-ALIGN: right">10</TD><TD style="TEXT-ALIGN: right">100</TD><TD style="TEXT-ALIGN: right">-8896.95</TD><TD style="TEXT-ALIGN: right">-87.969462</TD></TR></TBODY></TABLE>
Sheet1
 
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