Rate of Return with Summarized Data

lfriesen

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Aug 10, 2009
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I have data in a spreadsheet where part has a summary of the flows in and out with the period of time that applies. I am trying to calculate the rate of return but IRR expects the data in columns or that the amounts be the same for each period.

Option Amt_In Yrs_In Amt_Out Yrs_Out Value IRR
A 17000 10 15000 20 37000 4.53%

I can get the 4.53% if I turn the flows into a column with the appropriate number of occurences.

But, I have 20,000 lines so that isn't really a practical solution.

Does anyone have an option or variation on IRR that would work?

Thanks.
 

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Thanks, Jose,

I do have XIRR available but it still requires the data to be in columns. The times aren't irregular but the payment amounts are in a limited way.
 
Upvote 0
I don't think that XIRR (or IRR) require the data to be in columns. Perhaps I'm not understanding your particular issue. Are you able to post a sample of your data?
 
Upvote 0
I am sending a very abbreviated set of data. Example A is now a very simple example where all the amounts are the same and RATE() works just fine (6.20 = RATE(30,17000,0,-1478000,1)). That won't work for Example B because the amounts vary over the 30 years. The details below are the proofs of the rates. The IRR Rates use the IRR(range) to get the values. The Proof Rate is what I did manually. I am trying to find a way to get the 4.53% without creating 20,000 sets of columns.

Thanks for your help.

<b>Excel 2003</b><table cellpadding="2.5px" rules="all" style=";background-color: #FFFFFF;border: 1px solid;border-collapse: collapse; border-color: #A6AAB6"><colgroup><col width="25px" style="background-color: #E0E0F0" /><col /><col /><col /><col /><col /><col /><col /></colgroup><thead><tr style=" background-color: #E0E0F0;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><th>G</th></tr></thead><tbody><tr ><td style="color: #161120;text-align: center;">1</td><td style=";">Example</td><td style=";">Amt_In</td><td style=";">Yrs_in</td><td style=";">Amt_Out</td><td style=";">Yrs_Out</td><td style=";">Value-30</td><td style=";">IRR-30</td></tr><tr ><td style="color: #161120;text-align: center;">2</td><td style=";">A</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">30</td><td style="text-align: right;;">0</td><td style="text-align: right;;">0</td><td style="text-align: right;;">1478000</td><td style="text-align: right;;">6.20%</td></tr><tr ><td style="color: #161120;text-align: center;">3</td><td style=";">B</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">10</td><td style="text-align: right;;">15000</td><td style="text-align: right;;">20</td><td style="text-align: right;;">37000</td><td style="text-align: right;;">4.53%</td></tr><tr ><td style="color: #161120;text-align: center;">4</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><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=";">IRR Rate</td><td style="text-align: right;;">6.20%</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style=";">IRR Rate</td><td style="text-align: right;;">4.53%</td></tr><tr ><td style="color: #161120;text-align: center;">6</td><td style="text-align: right;;"></td><td style=";">Proof Rate</td><td style="text-align: right;;">0.062</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style=";">Proof Rate</td><td style="text-align: right;;">0.0453</td></tr><tr ><td style="color: #161120;text-align: center;">7</td><td style="text-align: right;;"></td><td style=";">Amt</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style=";">Amt</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">8</td><td style="text-align: right;;">1</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">18054</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17770.1</td></tr><tr ><td style="color: #161120;text-align: center;">9</td><td style="text-align: right;;">2</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">37227.35</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">36345.19</td></tr><tr ><td style="color: #161120;text-align: center;">10</td><td style="text-align: right;;">3</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">57589.44</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">55761.72</td></tr><tr ><td style="color: #161120;text-align: center;">11</td><td style="text-align: right;;">4</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">79213.99</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">76057.83</td></tr><tr ><td style="color: #161120;text-align: center;">12</td><td style="text-align: right;;">5</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">102179.3</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">97273.35</td></tr><tr ><td style="color: #161120;text-align: center;">13</td><td style="text-align: right;;">6</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">126568.4</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">119449.9</td></tr><tr ><td style="color: #161120;text-align: center;">14</td><td style="text-align: right;;">7</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">152469.6</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">142631.1</td></tr><tr ><td style="color: #161120;text-align: center;">15</td><td style="text-align: right;;">8</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">179976.7</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">166862.4</td></tr><tr ><td style="color: #161120;text-align: center;">16</td><td style="text-align: right;;">9</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">209189.3</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">192191.4</td></tr><tr ><td style="color: #161120;text-align: center;">17</td><td style="text-align: right;;">10</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">240213</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">218667.7</td></tr><tr ><td style="color: #161120;text-align: center;">18</td><td style="text-align: right;;">11</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">273160.2</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">212893.9</td></tr><tr ><td style="color: #161120;text-align: center;">19</td><td style="text-align: right;;">12</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">308150.2</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">206858.5</td></tr><tr ><td style="color: #161120;text-align: center;">20</td><td style="text-align: right;;">13</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">345309.5</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">200549.7</td></tr><tr ><td style="color: #161120;text-align: center;">21</td><td style="text-align: right;;">14</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">384772.7</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">193955.1</td></tr><tr ><td style="color: #161120;text-align: center;">22</td><td style="text-align: right;;">15</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">426682.6</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">187061.7</td></tr><tr ><td style="color: #161120;text-align: center;">23</td><td style="text-align: right;;">16</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">471190.9</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">179856.1</td></tr><tr ><td style="color: #161120;text-align: center;">24</td><td style="text-align: right;;">17</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">518458.7</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">172324.1</td></tr><tr ><td style="color: #161120;text-align: center;">25</td><td style="text-align: right;;">18</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">568657.2</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">164450.9</td></tr><tr ><td style="color: #161120;text-align: center;">26</td><td style="text-align: right;;">19</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">621967.9</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">156221</td></tr><tr ><td style="color: #161120;text-align: center;">27</td><td style="text-align: right;;">20</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">678583.9</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">147618.3</td></tr><tr ><td style="color: #161120;text-align: center;">28</td><td style="text-align: right;;">21</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">738710.1</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">138625.9</td></tr><tr ><td style="color: #161120;text-align: center;">29</td><td style="text-align: right;;">22</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">802564.1</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">129226.2</td></tr><tr ><td style="color: #161120;text-align: center;">30</td><td style="text-align: right;;">23</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">870377.1</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">119400.6</td></tr><tr ><td style="color: #161120;text-align: center;">31</td><td style="text-align: right;;">24</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">942394.5</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">109130</td></tr><tr ><td style="color: #161120;text-align: center;">32</td><td style="text-align: right;;">25</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">1018877</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">98394.08</td></tr><tr ><td style="color: #161120;text-align: center;">33</td><td style="text-align: right;;">26</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">1100101</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">87171.83</td></tr><tr ><td style="color: #161120;text-align: center;">34</td><td style="text-align: right;;">27</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">1186362</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">75441.22</td></tr><tr ><td style="color: #161120;text-align: center;">35</td><td style="text-align: right;;">28</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">1277970</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">63179.21</td></tr><tr ><td style="color: #161120;text-align: center;">36</td><td style="text-align: right;;">29</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">1375258</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">50361.72</td></tr><tr ><td style="color: #161120;text-align: center;">37</td><td style="text-align: right;;">30</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">1478578</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">36963.61</td></tr><tr ><td style="color: #161120;text-align: center;">38</td><td style="text-align: right;;"></td><td style="text-align: right;;">-1478000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-37000</td><td style="text-align: right;;"></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 #A6AAB6;border-top:none;text-align: center;background-color: #E0E0F0;color: #161120">Sheet1</p><br /><br />
 
Upvote 0
Thanks, this was helpful. This is challenging, but do-able. The solution I have in mind would require you to add 5 columns to your worksheet and a macro. Here's what I'm thinking...


The additional columns would be as follows (all using Example A in row 3 of your sample, but can be copied down to all 20,000 rows):
  • Column H: Present Value of Inflows =-PV($L3,C3,B3,,1)
  • Column I: Present Value of Outflows =PV($L3,E3,D3,,1)/((1+$L3)^(C3))
  • Column J: Present Value of the Final Cash flow =(-F3/((1+$L3)^30))
  • Column K: Total Present Value =SUM(H3:J3)
  • Column L: Discount Rate (an input, that we would use Solver to derive -- i.e., to force the Total Present Value = 0)
To elaborate on Column L, IRR is equivalent to the discount rate that sets the present value of your cash flow stream equal to zero. You could set up Excel's Solver to come up with the discount rate that does this. Given your large data set, you could use a macro to automatically do this.

I've tested this logic with your two examples, and it does agree to your 6.20% and 4.53% rates. Let me know if this would work for you and, if so, I'll work on a quick macro to automate the Solver portion of the puzzle.

Cheers,
JC

 
Upvote 0
The macro to solve for IRR is:

Code:
Sub Solve_for_IRR()
'**NOTE: AFTER PASTING MACRO INTO WORKBOOK, WITHIN THE VB EDITOR,
'**CLICK ON TOOLS - REFERENCES AND ENSURE THAT SOLVER IS CHECKED
Dim x As Long
Dim lastrow As Long
Dim PV_Cell As String
Dim IRR_Cell As String
lastrow = ActiveSheet.UsedRange.Rows.Count ' finds last row containing data
For x = 3 To lastrow 'Assumes row 3 is the first row that contains data
    PV_Cell = "$K$" & x
    IRR_Cell = "$L$" & x
    SolverReset
    SolverOk SetCell:=PV_Cell, _
             MaxMinVal:=3, _
             ValueOf:="0", _
             ByChange:=IRR_Cell
    SolverSolve userFinish:=True
Next x
End Sub
 
Upvote 0
Thanks, Jose.

There is actually a potential 3rd set of flows that are all zero (Amt_0, Yrs_0). I have 8 sets of values that those flows tie to such that Yrs_In + Yrs_Out + Yrs_0 is limited to the Tot_Yrs related to the values, e.g. Values-30 has Tot_Yrs=30. So, I could see the macro substituting those values in H, I and J and repeating or I'd need to create 7 more sets of columns.

To further complicate it some of the flows are "N/A" because the case didn't work and some of the Values are either 0 or "N/A" because the value actually is 0 or the case didn't work.

I got a good starting value for Example A with (F3 / (C3 * B3))^(1/C3) - 1. Something similar might work if (c3*b3-d3*e3) was positive, otherwise -((-(F3 / (C3 * B3))^(1/C3))-1) might be close.

If you could get the macro started that would be awesome. I am pretty good at following someone else's macro and adapting but I am pretty awful at getting one started.

By the way I am in Excel 2003 on an XP SP3 machine.

Thanks, again.
 
Upvote 0
Is it possible for you to post a revised sample of your dataset that includes one or two examples of each scenario that you'll encounter?
 
Upvote 0
Here you go. Examples A & B have been expanded to show the multiple Values from the one set of cash flows (different points in time on the range). Example C is just what an N/A result would look like and Example D shows that results for the Values could be 0 or N/A, the case failed to get to that point but made it part way.

<b>Excel 2003</b><table cellpadding="2.5px" rules="all" style=";background-color: #FFFFFF;border: 1px solid;border-collapse: collapse; border-color: #A6AAB6"><colgroup><col width="25px" style="background-color: #E0E0F0" /><col /><col /><col /><col /><col /><col /><col /><col /><col /><col /><col /><col /><col /></colgroup><thead><tr style=" background-color: #E0E0F0;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><th>G</th><th>H</th><th>I</th><th>J</th><th>K</th><th>L</th><th>M</th></tr></thead><tbody><tr ><td style="color: #161120;text-align: center;">1</td><td style=";">Example</td><td style=";">Amt_In</td><td style=";">Yrs_In</td><td style=";">Amt_out</td><td style=";">Yrs_out</td><td style=";">Amt_0</td><td style=";">Yrs_0</td><td style=";">Value-20</td><td style=";">Value-30</td><td style=";">Value-40</td><td style=";">IRR-20</td><td style=";">IRR-30</td><td style=";">IRR-40</td></tr><tr ><td style="color: #161120;text-align: center;">2</td><td style=";">A</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">30</td><td style="text-align: right;;">0</td><td style="text-align: right;;">0</td><td style="text-align: right;;">0</td><td style="text-align: right;;">0</td><td style="text-align: right;;">510000</td><td style="text-align: right;;">1478000</td><td style="text-align: right;;">3000000</td><td style="text-align: right;;">3.72%</td><td style="text-align: right;;">6.20%</td><td style="text-align: right;;">6.28%</td></tr><tr ><td style="color: #161120;text-align: center;">3</td><td style=";">B</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">10</td><td style="text-align: right;;">15000</td><td style="text-align: right;;">20</td><td style="text-align: right;;">0</td><td style="text-align: right;;">10</td><td style="text-align: right;;">157000</td><td style="text-align: right;;">37000</td><td style="text-align: right;;">20000</td><td style="text-align: right;;">4.76%</td><td style="text-align: right;;">4.53%</td><td style="text-align: right;;">4.29%</td></tr><tr ><td style="color: #161120;text-align: center;">4</td><td style=";">C</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td><td style=";">N/A</td></tr><tr ><td style="color: #161120;text-align: center;">5</td><td style=";">D</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10</td><td style="text-align: right;;">20000</td><td style="text-align: right;;">30</td><td style="text-align: right;;">0</td><td style="text-align: right;;">0</td><td style="text-align: right;;">0</td><td style="text-align: right;;">0</td><td style=";">N/A</td><td style="text-align: right;;">7.18%</td><td style="text-align: right;;">10.57%</td><td style=";">N/A</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><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><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">7</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><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><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">8</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><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><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">9</td><td style="text-align: right;;"></td><td style="text-align: right;;">3.72%</td><td style="text-align: right;;">6.20%</td><td style="text-align: right;;">6.28%</td><td style="text-align: right;;"></td><td style="text-align: right;;">4.76%</td><td style="text-align: right;;">4.53%</td><td style="text-align: right;;">4.29%</td><td style="text-align: right;;"></td><td style="text-align: right;;">7.18%</td><td style="text-align: right;;">10.57%</td><td style=";">N/A</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">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><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><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;">11</td><td style="text-align: right;;">1</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">12</td><td style="text-align: right;;">2</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">13</td><td style="text-align: right;;">3</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">14</td><td style="text-align: right;;">4</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">15</td><td style="text-align: right;;">5</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">16</td><td style="text-align: right;;">6</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">17</td><td style="text-align: right;;">7</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">18</td><td style="text-align: right;;">8</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">19</td><td style="text-align: right;;">9</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">20</td><td style="text-align: right;;">10</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;">10000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">21</td><td style="text-align: right;;">11</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">22</td><td style="text-align: right;;">12</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">23</td><td style="text-align: right;;">13</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">24</td><td style="text-align: right;;">14</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">25</td><td style="text-align: right;;">15</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">26</td><td style="text-align: right;;">16</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">27</td><td style="text-align: right;;">17</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">28</td><td style="text-align: right;;">18</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">29</td><td style="text-align: right;;">19</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">30</td><td style="text-align: right;;">20</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">31</td><td style="text-align: right;;">21</td><td style="text-align: right;;">-510000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;">-157000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">32</td><td style="text-align: right;;">22</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">33</td><td style="text-align: right;;">23</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">34</td><td style="text-align: right;;">24</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">35</td><td style="text-align: right;;">25</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">36</td><td style="text-align: right;;">26</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">37</td><td style="text-align: right;;">27</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">38</td><td style="text-align: right;;">28</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">39</td><td style="text-align: right;;">29</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">40</td><td style="text-align: right;;">30</td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-15000</td><td style="text-align: right;;">-15000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">41</td><td style="text-align: right;;">31</td><td style="text-align: right;;"></td><td style="text-align: right;;">-1478000</td><td style="text-align: right;;">17000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-37000</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;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">42</td><td style="text-align: right;;">32</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">43</td><td style="text-align: right;;">33</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">44</td><td style="text-align: right;;">34</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">45</td><td style="text-align: right;;">35</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">46</td><td style="text-align: right;;">36</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">47</td><td style="text-align: right;;">37</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">48</td><td style="text-align: right;;">38</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">49</td><td style="text-align: right;;">39</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">50</td><td style="text-align: right;;">40</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">17000</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><td style="text-align: right;;"></td><td style="text-align: right;;">-20000</td><td style="text-align: right;;"></td></tr><tr ><td style="color: #161120;text-align: center;">51</td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;"></td><td style="text-align: right;;">-3000000</td><td style="text-align: right;;"></td><td style="text-align: right;;"></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=";">N/A</td><td style="text-align: right;;"></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 #A6AAB6;border-top:none;text-align: center;background-color: #E0E0F0;color: #161120">Sheet1</p><br /><br />

Thanks, once more.

Lynn
 
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