Difference between revisions of "Manuals/calci/IRR"

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<div style="font-size:30px">'''IRR(v,g)'''</div><br/>
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<div style="font-size:30px">'''IRR (CashFlowEvents,StartGuess,Accuracy,NoOfIterations)'''</div><br/>
*<math>v</math>  is the array of values.
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*<math>CashFlowEvents</math>  is the array of values.
*<math>g</math> is the number is close to the result of IRR.
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*<math>StartGuess</math> is the number is close to the result of IRR.
 +
*<math>Accuracy</math> is the correct of decimal places of the result.
 +
*<math>NoOfIterations</math> is the number of iterations.
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**IRR(), returns the internal rate of return for a series of cash flows.
  
 
==Description==
 
==Description==
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*The Internal Rate of Return is the interest rate that makes the Net Present Value zero.  
 
*The Internal Rate of Return is the interest rate that makes the Net Present Value zero.  
 
*<math>IRR</math> is similar to the  net present value calculation.  
 
*<math>IRR</math> is similar to the  net present value calculation.  
*In  <math>IRR(v,g)</math>,<math>v</math> is an values which is the array or a reference to cells that contain numbers for which you want to calculate the internal rate of return.  
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*In  <math>IRR (CashFlowEvents,StartGuess,Accuracy,NoOfIterations)</math>,<math>CashFlowEvents</math> is an values which is the array or a reference to cells that contain numbers for which you want to calculate the internal rate of return.  
*<math>g</math> is the guess which is indicating the number that you guess is close to the result of <math>IRR</math>.  
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*<math>StartGuess</math> is the guess which is indicating the number that you guess is close to the result of <math>IRR</math>.  
*<math>v</math> must have atleast one positive and one negative value to find the internal rate of return.
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*<math>CashFlowEvents</math> must have atleast one positive and one negative value to find the internal rate of return.
*The value of <math>v</math> can be array or reference argument contains text, logical values or empty cells, the values which are ignored.
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*The value of <math>CashFlowEvents</math> can be array or reference argument contains text, logical values or empty cells, the values which are ignored.
*The <math>g</math> value is optional, when we are omitting the <math>g</math> value,by default it will consider the value as 10%(0.1).
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*The <math>StartGuess</math> value is optional, when we are omitting the <math>StartGuess</math> value,by default it will consider the value as 10%(0.1).
 
*The calculation of <math>IRR</math> uses an iterative method.
 
*The calculation of <math>IRR</math> uses an iterative method.
 
*The value is starting from g value and doing the calculation until the result is accurate within 0.00001%.  
 
*The value is starting from g value and doing the calculation until the result is accurate within 0.00001%.  
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==Examples==
 
==Examples==
 
{| class="wikitable"
 
{| class="wikitable"
|+1..10@SQRT
 
 
|-
 
|-
! !! A !! B
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! !! A !! B   
! 1    
 
 
|-
 
|-
| -100000 || -500000
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! 1
! 2
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| -100000 || -500000  
 
|-
 
|-
 +
! 2
 
| 10000 || 32000
 
| 10000 || 32000
 +
|-
 
! 3
 
! 3
 +
|28000 || 45000
 
|-
 
|-
|28000 || 45000
 
 
! 4
 
! 4
 +
|20000 || 100000
 
|-
 
|-
|20000 || 100000
 
 
! 5
 
! 5
 +
| 32500 || 150000
 
|-
 
|-
| 32500 || 150000
 
 
! 6
 
! 6
 +
| 59000 || 275000
 
|-
 
|-
| 59000 || 275000
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! 7
! 7  
 
|-
 
 
|1000 ||67000
 
|1000 ||67000
 
|}
 
|}
  
#=IRR(A1:A6)=11.88%
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#=IRR(A1:A6)=11.88%  
 
#=IRR(A1:A5,20%) = -3.45%
 
#=IRR(A1:A5,20%) = -3.45%
#=IRR(B1:B7) = 6.7%
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#=IRR(B1:B7) = 7.31%%
#=IRR(B1:B5,5%)= -160.99%
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#=IRR(B1:B5,5%)= -12.47%
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#IRR([-100000,10000,28000,20000,32500,59000,1000]) = 0.12040035641121027
  
 +
==Related Videos==
 +
 +
{{#ev:youtube|OJ9-PGFsnwg|280|center|Internal Rate of Return}}
  
 
==See Also==
 
==See Also==
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*[[Manuals/calci/XNPV | XNPV ]]
 
*[[Manuals/calci/XNPV | XNPV ]]
  
==References==
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==References==  
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[http://www.techonthenet.com/excel/formulas/irr.php Internal rate of return]
 +
 
 +
 
 +
 
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 
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*[[ Z3 |  Z3 home ]]

Latest revision as of 04:52, 27 May 2022

IRR (CashFlowEvents,StartGuess,Accuracy,NoOfIterations)


  • is the array of values.
  • is the number is close to the result of IRR.
  • is the correct of decimal places of the result.
  • is the number of iterations.
    • IRR(), returns the internal rate of return for a series of cash flows.

Description

  • This function gives the internal rate of return of a cash flow stream associated with an investment.
  • The Internal Rate of Return is the interest rate that makes the Net Present Value zero.
  • is similar to the net present value calculation.
  • In , is an values which is the array or a reference to cells that contain numbers for which you want to calculate the internal rate of return.
  • is the guess which is indicating the number that you guess is close to the result of .
  • must have atleast one positive and one negative value to find the internal rate of return.
  • The value of can be array or reference argument contains text, logical values or empty cells, the values which are ignored.
  • The value is optional, when we are omitting the value,by default it will consider the value as 10%(0.1).
  • The calculation of uses an iterative method.
  • The value is starting from g value and doing the calculation until the result is accurate within 0.00001%.
  • Also can't find the result that works after 20 tries.
  • The calculating for cash flows occurring at any other regular intervals like quarterly or semi annual by using respective factor.
  • is also called effective interest rate, or rate of return.
  • It is used to evaluate an investment or project.
  • The function will return the result as error after the 20 tries in the iterative method.

Examples

A B
1 -100000 -500000
2 10000 32000
3 28000 45000
4 20000 100000
5 32500 150000
6 59000 275000
7 1000 67000
  1. =IRR(A1:A6)=11.88%
  2. =IRR(A1:A5,20%) = -3.45%
  3. =IRR(B1:B7) = 7.31%%
  4. =IRR(B1:B5,5%)= -12.47%
  5. IRR([-100000,10000,28000,20000,32500,59000,1000]) = 0.12040035641121027

Related Videos

Internal Rate of Return

See Also

References

Internal rate of return