Don’t (only) use multiples for your continuing value
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Don’t (only) use multiples for your continuing value

By Werner Rehm and Vartika Gupta, CFA with Alok Bothra and Rodrigo Assun??o

Estimating the continuing value (CV) in a discounted cash flows (DCF) model is vital. The cash flows beyond the explicit forecast period often represent a substantial portion of value.

It is common to use current, average, or somehow estimated multiples as a proxy in CV estimates, or the classic perpetuity free cash flow (FCF) approach (FCF/(WACC-g)). Both the multiples approach and the FCF perpetuity method have advantages and shortcomings.

  • The multiples approach uses some implicit assumptions about future growth and ROIC. In particular, this method assumes that the long-term performance is equal to today’s performance. To address this challenge, we can estimate an implied multiple based on the company’s expected performance for the long term. For this example, as illustrated in Exhibit 1, a multiple of about 8 would imply a ROIC of 8 percent (below the cost of capital), which might be too conservative. On the other hand, a multiple of about 14 ?would imply a 14 percent ROIC and a 6 percent long-term growth rate, which could be too optimistic. The point here is that multiples are a shortcut and hide implicit long-term economic assumptions.
  • The FCF perpetuity method in most cases assumes a lower growth rate for the continuing value than for the explicit forecast period while using the prior year’s FCF. Business schools often spend quite some time on estimating “adjusted CF” for this purpose—a pro-forma FCF that is consistent with lower required reinvestment for lower growth, which leads to higher cash flows than using the last year’s FCF estimate. But how do you adjust capital expenditure and working capital needs for this lower perpetuity growth? In practice, nobody does. Everybody just uses the prior year’s FCF, even when it was based on higher growth assumptions.

Exhibit 1 - Implied EV/NOPAT multiple given combinations of growth and ROIC


Linking CV mathematically to long-term economics

There is an easier and more accurate method available that directly links explicit return and growth assumptions to value (Exhibit 2).

Exhibit 2 – Value driver formula

Often this is referred to as “estimating” value, but in fact, it is a version of the FCF approach that links cash flow mathematically to return on capital and growth (exhibit 3).

Exhibit 3 – Value driver formula numerator derivation


By using this CV linking method, you can have a great discussion on the potential long-term sustainable growth and returns in an industry. For example, while a business might see higher ROIC in the medium term, competitive advantages might be competed away in the long term. This is especially important in these times when so many companies in so many industries are investing in the transition to renewable energy—will long term ROICs be the same as historical?

Here are a few principles to consider when using this formula to link CV more accurately to long-term economics:

  1. Net operating profit after tax (NOPAT) includes the year after the explicit forecast period based on a sustainable level of profitability.
  2. Return on new investment capital (RONIC) links to a story or scenario, and to expectations of future competitive conditions. When competitive advantages are sustainable, RONIC can be close to the estimate at the end of the explicit forecast period. For example, global consumer packaged goods companies tend to have a sustainable advantage from their brand, having built and/or acquired their way to global scale, and a sustainable ROIC as well. Some of these companies had ROIC above 40 percent 50 years ago based on their brands and there is no reason to believe that they wouldn’t have that 50 years from now.?In other cases, competitive advantages erode with time, reducing returns, and RONIC may equal the cost of capital. This does not mean that all cash flows from that point on will have a net present value of zero, because the cash flows from existing capital will carry into the continuing value period. Instead, total ROIC will not immediately approach WACC, but rather will arrive there gradually (Exhibit 4).

Exhibit 4?– Effect of lower RONIC on average ROIC


3. Growth rates need to be consistent with the inflation used to calculate WACC. If you assume a higher-than-normal inflation for your WACC estimate (in a foreign currency, for example), you need to carry this through into the CV growth, or use a different WACC for the CV.


In our work, when we see multiples used for CV estimates, we translate them into implied ROIC and perpetuity growth so we can foster a discussion around what’s reasonable. You can similarly challenge your team by creating a simple table with growth, return on capital, and implied multiple for the CV.

What is your experience? What methods do you usually use for CV and why? What mistakes have you encountered? What alternative approaches have you seen?


Karen Haro

CFO | M&A, Integration & Strategy | Investment Banking & Corporate Finance | US & LatAm | Consumer Goods | Value Creation & Growth

8 个月

Great insights on the importance of accurately estimating continuing value (CV) in DCF models! It’s crucial to recognize the limitations of using multiples, as they often mask implicit assumptions about future growth and ROIC. Instead, directly linking CV to explicit return and growth assumptions can provide a more realistic view of long-term sustainable growth. What are your thoughts on balancing multiples with intrinsic valuations in your analyses?

回复
Sanaz Danielle F.

Capital Markets

9 个月

This is a useful comment:"In our work, when we see multiples used for CV estimates, we translate them into implied ROIC and perpetuity growth so we can foster a discussion around what’s reasonable. You can similarly challenge your team by creating a simple table with growth, return on capital, and implied multiple for the CV." Basically using multiples for terminal value in a valuation that is tagged as a DCF or intrinsic value is DCF approach in disguise. Term value is the largest component of valuation and hence the perpetuity approach is preferred. Turning the multiple approach into an implied growth an ROIC allows for better comparison. What I learned w/ Prof Damodaran is embedded in the growth rate is a real growth rate and expected inflation. Embedded in the risk free rate in a real risk free rate and expected inflation. Over the long term the real r_f is a good proxy for real growth rate. Now if a company can maintain its competitive advantage over the long term, it is very probable that it will maintain excess return and ROIC remains above WACC over the long term.

Michael Vail F Fin FCPA

Principal - Agriculture, Agribusiness, and Pastoral, at TRE PONTE capital

9 个月

Growth-rates for any business selling a product, are always higher in the beginning of success; yet, fall-away to long-term economic growth trend of between 1 to maybe 4-percentum per Annum, with the passing of time, and the maturation of any industry: but for the addition of any new developed products, that create a spike here and there. However, buying growth is proven to be very expensive. My 2-cents: do NOT focus on growth alone; without also a strong focus on decay, and other risk-factors of ‘the sudden-death-scenario’ that may occur. Low ROIC and the final discount-factor applied to any valuation-scenario, creates the impression of implied higher-value, when the opposite outcome may in fact be the case, at the time-horizon … for in the end, we all fade to grey … There’s the long-S, time-line, and the Logistics-Curve … so, does slope, and the rate of change of that slope, infer a rising price … or is that just ‘growth compensating for long-term-inflation’ (a type of decay)? NB: Fundamental-Price is not the same as Market-Price … the first is ‘the economy’ at the long-end; and the latter is the ‘the market’ at the short-end … much like a measuring, yield-curve. So, what value is fiat: and, how about that Gold !!

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