Sunday 23 November 2008

Choosing a Discount Assumption

Choosing a discount assumption

In theory, the discount rate should be your own personal cost of capital for this kind of investment. If you have a million dollars and can invest it with no risk in a Treasury bond at 6 percent, your cost of capital is the risk-free 6 percent you would forgo by not investing in the bond. So the implied cost of your dollars made available to invest in Business XYZ starts at 6 percent. Financial types refer to this opportunity cost as the risk-free cost of capital.

But implicitly, Company XYZ common stock is riskier than the bond investment. Sales, earnings, and myriad other intrinsic things can change, as can markets and the market perception of XYZ’s worth. So an equity premium is added to the risk-free cost of capital rate. In effect, the total cost of capital is your required compensation, or hurdle, for the opportunity you’ve lost by not buying the bond, plus the assumption of risk by investing in XYZ.

Much has gone into identifying appropriate risk premiums and the like. Modern portfolio theory and its reliance on beta – a measure of relative stock price volatility – doesn’t really do much for most value investors. (Remember: Price doesn’t determine value.)

The keep-it-simple-safe (KISS) approach used by most value investors, including Warren Buffett, is to discount at a relatively high rate, usually higher than the growth rate. Buffett uses 15 percent as a discount, or “hurdle” rate – investments must clear a 15 percent “hurdle” before clearing the bar. The 15 percent hurdle incorporates a lot of risk, especially in today’s environment of relatively low interest rate and inflation. Conservative value investors usually use discount rates in the 10 to 15 percent range.

As you build and run models, you’ll see firsthand how the discount rate affects the resulting intrinsic value. Here are a few points to remember:
  • The higher the discount rate, the lower the intrinsic value – and vice versa.
  • The second-stage discount rate should always be higher than the first stage. Risk increases the farther out you go.
  • If you choose an aggressive growth rate, it makes sense also to choose a higher discount rate. Risk of failure is higher with high growth rates.
  • If the discount rate exceeds the growth rate, intrinsic value will be low and implode more quickly the larger the gap. Aggressive growth assumptions with low discount rates yield very high intrinsic values.

If you’re worried about earnings and earnings growth consistency and want to factor it in somehow, but don’t want to do a deep statistical analysis on a zillion numbers, Value Line does one for you. At the bottom right corner of the Value Line Investment Survey sheet is a figure called “Earnings Predictability” if the Survey covers the company you’re evaluating.

It’s really a statistical predictability score normalised to 100 (100 is best, 0 is worst). A score of 80 and higher indicates relative safety; below 80 means that you may want to attenuate growth rates or bump up the discount rate to account for uncertainty.

Here again is the set of growth and discount assumptions used for an example. Consistency is important, but growth rates will vary for each company, and discount rates may change also with differing risk assessments.
First-stage growth 10%
Second-stage growth 5%
First-stage discount rate 12%
Second-stage discount rate 15%

Ref: Intrinsic Value Model

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