Difference between revisions of "Manuals/calci/NPV"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left">  <font color="#000000"><font face="Arial, sans-serif"><font size="2">'''NPVDR'''</font></font><font face="Arial, san...")
 
 
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<div style="font-size:30px">'''NPV()'''</div><br/>
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*First parameter is the  discount rate for the period.
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*From the second parameter indicates the payments and income.
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**NPV(), returns the net present value of an investment based on a series of periodic cash flows and a discount rate.
  
<font color="#000000"><font face="Arial, sans-serif"><font size="2">'''NPVDR'''</font></font><font face="Arial, sans-serif"><font size="2">, </font></font><font face="Arial, sans-serif"><font size="2">'''V1'''</font></font><font face="Arial, sans-serif"><font size="2">, V2, ...)</font></font></font>
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==Description==
 +
*This function gives the net present value of an investment.
 +
*Net present value is the difference between the present value of cash inflows and the present value of cash outflows.
 +
*The <math>NPV</math> analysis is sensitive to the reliability of future cash inflows that an investment or project will yield.
 +
*In <math>NPV()</math>, first parameter is the discount rate for one period.
 +
*From the second parameter are representing the payments and income.
 +
*Payments  are equally spaced in time and occur at the end of the period.
 +
*Arguments can be numbers ,empty cells,logical values or text representations of numbers.
 +
*But error values or text that cannot be translated in to numbers.
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*<math>NPV</math> is related with the functions <math>PV</math> and <math>IRR</math>.
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*The cash flows to begin either at the end or at the beginning of the period is the main difference between <math>NPV</math> and <math>PV</math>.
 +
*Also <math>IRR</math> is the rate for which <math>NPV</math> equals zero.<math>NPV(IRR(....),...)=0</math>.
 +
*The formula for <math>NPV</math> is:
 +
<math>NPV=\sum_{i=1}^n \frac{values_i}{(1+rate)^i}</math>,where <math>n</math> is the number of cash flows in the list of values.
  
<font color="#000000"><font face="Arial, sans-serif"><font size="2">'''Where 'DR' '''</font></font><font face="Arial, sans-serif"><font size="2">is the rate of discount over the length of one period and V1,V2</font></font><font face="Arial, sans-serif"><font size="2">''', ...'''</font></font><font face="Arial, sans-serif"><font size="2"> are arguments. </font></font></font>
 
  
<br /><br />
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==Examples==
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#=NPV(9%,-55000,2000,3500,6200,8500,10000) = -30193.387068
 +
#=NPV(6%,-2000,294,489,780,520,1250) = 673.05
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#=NPV(12%,-25000,3000,7500,4200,5100,12700,10000) = 1929.2652056111
  
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==Related Videos==
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<font color="#000000"><font face="Arial, sans-serif"><font size="2">This function find outs the net present value of an investment by using a discount rate and a series of future payments and income.</font></font></font>
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{{#ev:youtube|v=yelsD-wyILI|280|center|NPV Function}}
  
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==See Also==
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*[[Manuals/calci/FV  | FV ]]
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*[[Manuals/calci/IRR  | IRR ]]
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*[[Manuals/calci/PV  | PV ]]
  
* <font color="#000000"><font face="Arial, sans-serif"><font size="2">This type investment begins one period before the value1 cash flow and ends with the last cash flow in the list. Its calculation is based on future cash flows.</font></font></font>
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==References==
* <font color="#000000"><font face="Arial, sans-serif"><font size="2">If n is the number of cash flows ,then the formula for NPV is: </font></font></font>
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*[http://en.wikipedia.org/wiki/Net_present_value Net Present Value]
  
<font color="#000000"></font>
 
  
* <font color="#000000"><font face="Arial, sans-serif"><font size="2">This function is similar to the PV function. PV allows cash flows to begin either at the end or at the beginning of the period. Unlike the variable cash flow values of this function, PV cash flows must be constant.</font></font></font>
 
* <font color="#000000"><font face="Arial, sans-serif"><font size="2">It is also related to the IRR function. IRR is the rate for which NPV equals zero: NPV(IRR(...), ...) = 0. </font></font></font>
 
  
<br /><br />
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*[[Z_API_Functions | List of Main Z Functions]]
  
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*[[ Z3 |  Z3 home ]]
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NPV
 
 
 
</div></div>
 
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<font color="#000000"><font face="Arial, sans-serif"><font size="2">Lets see an example,</font></font></font>
 
 
 
<font color="#000000"><font face="Arial, sans-serif"><font size="2">NPVDR, V1, V2, ...)</font></font></font>
 
 
 
<font color="#000000"><font face="Arial, sans-serif"><font size="2">'''B'''</font></font></font>
 
 
 
<font color="#000000"><font face="Arial, sans-serif"><font size="2">10% DR</font></font></font>
 
 
 
<font color="#000000"><font face="Arial, sans-serif"><font size="2">-12500 Initial investment</font></font></font>
 
 
 
<font color="#000000"><font face="Arial, sans-serif"><font size="2">3500 V1</font></font></font>
 
 
 
<font color="#000000"><font face="Arial, sans-serif"><font size="2">6100 V2 </font></font></font>
 
 
 
<font color="#000000"><font face="Arial, sans-serif"><font size="2">9000 V3</font></font></font>
 
 
 
<font color="#000000"><font face="Arial, sans-serif"><font size="2"><nowiki>=NPV(B2, B3, B4, B5, B6) is 2259.067</nowiki></font></font></font>
 
 
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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{| id="TABLE1" class="SpreadSheet blue"
 
|- class="even"
 
| class=" " |
 
| Column1
 
| class="    " |
 
<div id="5Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="5Space_Copy" title="Click and Drag over to AutoFill other cells."></div>Column2
 
| Column3
 
| Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f" | 10%
 
| class="sshl_f" | DR
 
| class="                                                                                                                                " |
 
| class=" " |
 
|- class="even"
 
| class="  " | Row2
 
| class="sshl_f" | -12500
 
| class="sshl_f" | Initial investment
 
| class=" " |
 
| class=" " |
 
|- class="odd"
 
| Row3
 
| class="sshl_f" | 3500
 
| class="sshl_f" | V1
 
| class=" " |
 
| class=" " |
 
|- class="even"
 
| Row4
 
| class="sshl_f" | 6100
 
| class="sshl_f" | V2
 
| class=" " |
 
| class=" " |
 
|- class="odd"
 
| class=" " | Row5
 
| class="sshl_f" | 9000
 
| class="sshl_f" | V3
 
| class=" " |
 
| class=" " |
 
|- class="even"
 
| Row6
 
| class="sshl_f" | 2259.067
 
| class="                                                    " |
 
| class=" " |
 
| class="  SelectTD  SelectTD" |
 
<div id="5Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="5Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
 
|}
 
 
 
<div align="left">[[Image:calci1.gif]]</div></div>
 
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Latest revision as of 16:02, 15 November 2018

NPV()


  • First parameter is the discount rate for the period.
  • From the second parameter indicates the payments and income.
    • NPV(), returns the net present value of an investment based on a series of periodic cash flows and a discount rate.

Description

  • This function gives the net present value of an investment.
  • Net present value is the difference between the present value of cash inflows and the present value of cash outflows.
  • The analysis is sensitive to the reliability of future cash inflows that an investment or project will yield.
  • In , first parameter is the discount rate for one period.
  • From the second parameter are representing the payments and income.
  • Payments are equally spaced in time and occur at the end of the period.
  • Arguments can be numbers ,empty cells,logical values or text representations of numbers.
  • But error values or text that cannot be translated in to numbers.
  • is related with the functions and .
  • The cash flows to begin either at the end or at the beginning of the period is the main difference between and .
  • Also is the rate for which equals zero..
  • The formula for is:

,where is the number of cash flows in the list of values.


Examples

  1. =NPV(9%,-55000,2000,3500,6200,8500,10000) = -30193.387068
  2. =NPV(6%,-2000,294,489,780,520,1250) = 673.05
  3. =NPV(12%,-25000,3000,7500,4200,5100,12700,10000) = 1929.2652056111

Related Videos

NPV Function

See Also

References