Terminal Value Question

I've got a simple question in TV, can someone explain why you are dividing by WACC-growth rate?

I understand the FCF*(1+g), but I'm having trouble understanding why you subtract g from the WACC (I understand the dividing by WACC).

Thanks I'm sure its a simple answer, I just dont see it right now

 

It's actually not as simple as you might think, but its not hard either - it employs some well-known mathematical properties. If you are calculating your perpetuity by projecting cash flows from year 6 to infinity, the above eqn equals the value of all free cash flows into infinity discounted back to year 5. The equality involves the infinite sum of a series of numbers less than 1. It will be really hard to write it out on this msg board. If anybody wants, I'll make a PDF version of this eqns derivation and send it over. A necc. condition is that WACC > growth rate.

 
Best Response

I feel like this is being explained in a more technical fashion than it needs to be.

A terminal value calculation deducts growth from WACC for the following reason: a single period's cash flow is being projected into perpetuity and then discounted at a constant rate (the WACC), so by applying a growth rate against this constant discount rate one can account for the fact that the initial cash flow (in the numerator) will grow at some constant rate over time (if the cash flow were to remain constant, there would be nothing to deduct from WACC in the denominator).

 

I think the technical way is good. It explains in a very concrete way what you're really doing when you use this equation: calculating the infinite sum of cash flows and discounting back to the present.

 

Dont forget that:

((FCF Y2015*)1+Terminal Growth rate)/WACC-Terminal Growth Rate)

gets divided by the (1+discount rate)^Current Period - 2015

Obviously incorporating any mid-year conventions. A common mistake is to either not grow future CF for terminal value or to use the Terminal Period + 1 as the exponent on the Terminal Value discount back to PV. I've also seen people (people in college, not in the real world) just add the TV to sum of discounted operating CFs.

 

You can use a growth rate. What's the difference? Aren't both assumptions? Why would a growth rate be any more accurate?

Too many people out of undergrad (and even business school) rely on DCF and percentages as assumptions, rather than multiples. This is a perfect example.

If you actually think about it, the terminal multiple the a market-based approach of what the company is worth to potential acquirers (exit means shareholder exit). That is far more logical than talking about some ridiculous constant growth rate going to maturity.

 
peinvestor2012:
You can use a growth rate. What's the difference? Aren't both assumptions? Why would a growth rate be any more accurate?

Too many people out of undergrad (and even business school) rely on DCF and percentages as assumptions, rather than multiples. This is a perfect example.

If you actually think about it, the terminal multiple the a market-based approach of what the company is worth to potential acquirers (exit means shareholder exit). That is far more logical than talking about some ridiculous constant growth rate going to maturity.

You should've gotten him some burn heal. Damnnnnnn

 
anacott steal:
i agree with what you're saying but then why even do a DCF at all? why not just a trading comps or precedent transaction analysis?

Exactly what I always ask professors when I talk to them at conferences or events. We rarely use DCFs and when we do, it isn't weighted nearly as heavy as Pub or Trans Comps.

Boss is a firm believer in the market and its appetite is what it is. Meaning, you can tweak a DCF all you want to get to say a $1 billion value. But, if the market is only willing to pay $750 million right now, what can you do about it?

Your options are to hold off on any sale until the multiples increase towards your DCF or sell at the price the market is willing to pay.

 

its more practical to use a terminal value because the volatility of FCF in the far future is irrelevant compared to it's smoothed growth trajectory.

read my recent post on multiples - multiples are just hidden DCF

put multiples have another advantage in being simpler and being able to model out acquisition exits (for an LBO possibly)

Lastly DCFs take several fundamental factors to compute an instrinsice value to be compared with market value fundamentals but multiples take market value and are tested against historical multiples and the fundamental factors then

You can see how mulitples are the correct and easier way to approach valuation then..

 

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