How to Find Internal Rate of Return (IRR)

The TI-83 Plus and TI-84 Plus Calculators have a built-in function to find Internal Rate of Return (IRR) of a financial investment. Let’s work through an example.

Example: Find the internal rate of return (IRR) on an investment that costs $135,000. In year 2, it returns $50,000. In year 3, it returns $40,000. In year 4, it returns $30,000. In year 5, it returns $50,000.

To solve the problem for IRR:

  1. Press [2nd][FINANCE]. Choose 8:irr(.
  2. For this problem, enter irr(-135000, {50000, 40000, 30000}, {2, 1, 1,}).
  3. Press [ENTER] to calculate the IRR. You should get an IRR of 10.07%
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26 Responses to “How to Find Internal Rate of Return (IRR)”

  1. Sandra Says:

    TI-84 steps are a little different than using TI-83: To find IRR with TI-84:

    Use these entries irr(-135000,{50000,40000,30000,50000},{1,1,1,1}) = 10.07063094

  2. Resham Says:

    Given the cash inflows are 50,000 in the first 2 yrs, why does the 50000 come after 30000 in {50000,40000,30000,50000} component of the function?

    Shouldn’t it be irr(-135000,{50000,50000,40000,30000},{1,1,1,1}) instead?
    > This function yields an IRR of 10.86% instead of 10.07%

  3. bill Says:

    I use your exact notation and my answer is 10.86%

  4. bill Says:

    how do you put in the commas and stuff? using a ti 83 plus. thanks.

  5. bill Says:

    nm i figured it out…but what do the {2, 1, 1,}). represent?

  6. Come one guys Says:

    the 2,1,1 represent the number of CONSECUTIVE payments for that ammount indicating that 50 000 is returned in each of the first two years. Obviously incorrect.

    the function as my prof explained it should be -135000,{50000,40000,30000,50000}

    yeilding 10.07 % Sandras steps for entry are correct. When all of the payment’s are applied only once consecutivley you do not need to enter in the second series as 1 is the default.

    The initial notation for the TI84 would yeild 10.86 not 10.07 as the poster stated.

  7. matt Says:

    can anyone tell me how to figure out IRR on a TI 82 plz?

  8. Ryan Says:

    Thank you a bunch… this really helped me out.. i didn’t have a clue

  9. Daniel Says:

    If we were to graph this on a line it may give it more sense (Following the the example and answer your professor provided) :

    AMT 0 50000 40000 30000 50000

    YR 1 2 3 4 5

    The first year yeilded $50,000 the 2nd yr. yeilded $50, 000, the 3rd yr. yielded $40,000.

    IRR{-135000,{50000,40000,30000,50000}, {1,1,1,1} =10.07063 or 10.07 %

    Resham example:

    AMT 50000 50000 40000 30000

    YR 1 2 3 4

    irr(-135000,{50000,50000,40000,30000},{2,1,1}) =10.86%

    I hope this helps.

  10. Jay Says:

    Finance Calculations on TI-84

    Internal Rate of Return:
    irr ( initial cost , cashflow list )

    Example: initial outlay on a piece if equipment was $200,000. Over the next 3 years, it generates $50k, $100k, and $150k respectively. The market rate of return is 10%.

    Therefore, enter the cashflow generated into a List;
    [STAT] > 1:Edit… > Enter the cashflows into the list L1
    L1 =
    50000
    100000
    150000

    You can plug in L1 into the calculator by pressing…
    [2ND] > [STAT] (list) > 1:L1

    Your IRR calc should look like this:
    = irr ( -200000 , L1 )
    = 19.44%

  11. Jason Says:

    PV calculations for NPV and IRR are easier for me if I use STAT EDIT and enter the cash flows under L1. This eliminates all the commas and other brackets it also reduces the chance for error.
    For example.. you could list payments of 50k at the end of year 1, 40K at the end of year 2, 30K at the end of year 3, 50K at the end of year 4 under L1. After cash flows are entered quit out and get back in to apps finance IRR then enter… IRR(-135000,L1) to get 10.07%.

    L2 can also be used for cash flow frequency.

  12. Blake Says:

    Thanks guys I have a finance final tomo and need to know how to do this

  13. Anna Says:

    I have a TI-83. “Press [2nd][FINANCE]” I can not find the word “Finance” in my calculator. Can someone please help me out! Thanks!

  14. To Anna Says:

    hit Apps (purple button) –> 1. Finance, dunno why that guy said 2nd finance.

  15. rosa Says:

    I followed the instruction on the top. 135000 investment….. and I get an err: syntax. What am I doing wrong?

  16. Jacob Says:

    i’m sorry I’m a little confused on your explanation at the end of the equation that you input into your calculator. where do the 2 1 1 come from?

  17. Peter Says:

    To my understandings
    IRR(-135000,{50000,40000,30000,50000}, {1,1,1,1}) =10.07063
    is the same as:
    IRR(-135000,{50000,40000,30000}, {2,1,1,1}) =10.07063
    and the same as:
    IRR(-135000,{50000,40000,30000,50000}) =10.07063

  18. tish Says:

    Thanks peter. I’m using the ti84 plus and yur 3rd one is perfect for me.
    IRR(-135000,{50000,40000,30000,50000}) = 10.07063

    what does the {1,1,1,1} represent in this problem?

  19. Rick Says:

    Hello everyone,

    What about this exercise?

    Hathaway, Inc., a resort company, is refurbishing one of its hotels at a cost of $5,686,971. The firm expects that this improvement will lead to additional cash flows of $1,773,767 for the next six years. The IRR of this project is _____ %. If the appropriate cost of capital is 12 percent, the firm should Accept or Decline the project.

  20. emmanuel ufot Says:

    how do I calculate NPV given IRR. Here is the original problem, initial outlay is 10,000 and the inflow is 3,500 for 4yrs, interest rate of 10%. I calculated the NPV using TI-84 plus as: NPV(10,0,{3500},{4})enter=11,094. then i minus the initial capital 10,000 to get NPV (11,094-10,000)=1,094.
    The the IRR, calculated (-10,000,{3500},{4})enter = 14.96%.
    Now my question is, if I am given the IRR of 14.96%, I=10, how do I calculate the NPV?
    thanks Emmanuel

  21. emmanuel ufot Says:

    Hi Rick,
    to calculate the IRR via TI-84plus
    App, choose option 8
    Irr(-5686971,{1773767},{6}) enter = 21.489 = 21.49%
    If IRR > k accept
    If IRR 12% accept project.

  22. emmanuel ufot Says:

    cont……

    if IRR K
    21.49% > 12% Accept project

  23. Rick Says:

    Hello Everyone,

    Thank you very much for your previous responses, please help me out with the following, I’ve been doing it and is not giving me the right answer:

    Internal rate of return: Compute the IRR for the following project cash flows.

    (Round your answer to 2 decimal places. All intermittent calculations should be rounded to 4 decimal places before carrying to next calculation.)
    a. An initial outlay of $3,881,402 followed by annual cash flows of $679,785 for the next eight years.____ %
    b. An initial investment of $28,680 followed by annual cash flows of $8,041 for the next five years ____ %
    c. An initial outlay of $11,329 followed by annual cash flows of $2,688 for the next seven years ____ %

    Thank you in advance,

  24. koslak Says:

    how do i input two cash outflows for a project on t-84 to derive the irr? For example

    yr 1 -30000
    yr 2 5000
    yr 3 6000
    yr 4 6500
    yr 5 -4000

  25. Abdul Says:

    I tried all irr formulas on my ti-84 plus silver edition and got error each time
    Can somebody help please
    Thanks

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