Calculating IRR of terminal value cash flow

How do you appropriately calculate the IRR for the Terminal Value Cash Flow in excel?

Example:
3/30/16 - Year 1 CF: -50
3/30/17 - Year 2 CF: 120
3/30/18 - Year 3 CF: 150
Terminal Year CF: 275

XIRR(Values, Dates) is standard formula, but what "date" do we realize for terminal Year? If we use 3/30/18 (year 3) date, doesn't that skew the IRR way too favorably?

IRR with Terminal Value

From the

We compute cash flows
for a reasonable period, and then compute a terminal value for this
project, which is the present value of all cash flows that occur after the
estimation period ends..

Why do realize the terminal value at the final year of the project?
From @trader_timmy"

Think about the two primary methods of calculating a terminal value. For the sake of this, let's just assumed year 5 is your terminal year. EMM implies an exit at the end of Year 5. So you'd receive $X.X cash at the end of the year from selling company, and as such would only discount back from Year 5 to present day.

 

You have it right. Typically, the terminal cash flow would arrive in your final (terminal) projection year, so it would have the same date as your last projected cash flow. Since you're receiving that terminal cash flow in your final projection year - either from selling the business or the PV of CFs as a going concern - it would be incorrect to not include it in your final projection year.

 

The concept I'm struggling to grasp is that since the date range is an important factor in the IRR calc, why would we assign such a favorable date (last projected year) to the TV CF? Shouldn't there be a method where the date is discounted so that it represents the time range of "perpetuity", just like how there's a mechanism to do that for calculating TV CF? Or is that already done inherently when we use the TV CF in the IRR Calc?

Thanks!

 
Best Response

I get what you're thinking, but it's all about the timing of those cash flows. That date is not purposely favorable, that's just the date your terminal cash flow would arrive. The method(s) of calculating terminal value provide a number that is already PV'd to your terminal year, so your IRR calculation only needs to discount from terminal year to present.

Think about the two primary methods of calculating a terminal value. For the sake of this, let's just assumed year 5 is your terminal year. EMM implies an exit at the end of Year 5. So you'd receive $X.X cash at the end of the year from selling company, and as such would only discount back from Year 5 to present day.

For gordon growth, the formula calculates the present value of a growing perpetuity, so when you calculate TV based on your Year 5 FCF number, you're calculating the PV of future cash flows as of Year 5. Both methods are providing you a number stated in Year 5 dollars, so in the context of an IRR calc, you'd be receiving that cash flow in Year 5.

 

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