CFA CFA Level 1 Calculate the IRR when given terminal growth rate?

Calculate the IRR when given terminal growth rate?

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    • Avatar of googs1484googs1484
      Participant
        • CFA Level 3
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        Year 5 is a perpetuity so calculate the PV of that to year 5. Then plug in the cash flows for years 1 thru 4 and then the PV of the perpetuity to CF5. Then use IRR function.  

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        Hi @leonidas17, as @googs1484 mentioned you should first calculate the Terminal Value in Year 5 for the 5th year cash flow input.

        It seems that your PV for Y5 is incorrect, I’ll have a go at detailing my steps below:

        Step 1: Calculate Terminal Value at Year 5

        Using the Gordon Growth model, TV = [Final year projected Cash Flow * (1 + r)] / (r – g), where r is discount rate, g is long term cash growth rate. 

        So TV = (50,000) * (1-5%) / (15% + 5%)  –> note: the terminal growth rate g is -5% (not 5%)
                  = 237,500

        Step 2: Input these CF values in CF worksheet

        For BA II plus calculator, make sure you clear your CF worksheet before you start a new calculation (always a good practice!!), by pressing the “2ND” “CE|C” button for CLR WORK function.

        So currently your cash flow (undiscounted) are as follows for the CF function:

        CF0 = -$500,000
        CF1 = $10,000
        CF2 = -$50,000
        CF3 = $5,000
        CF4 = $20,000
        CF5 TV = $237,500 (not sure how you got your $1m number here with PV either?)

        Step 3: Calculate IRR

        Based on these input, I got an answer of -14.22% IRR. Is this correct?

      • Avatar of leonidas17leonidas17
        Participant
          • CFA Level 1
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          1
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          I’ve calculated the:

          PV of Y1 to Y4 = -$14,388.89 ; using the discount rate of 15%.
          PV of Y5 onwards = $1 million ; using rate of 5% (is this correct??)

          What should I do next?

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