Posts Tagged ‘valuation’

The Death of Equites: Not Quite

Thursday, March 19th, 2009

We are a little bit late with this piece - but we wanted to highlight it anyway.  James Berman has a fantastic piece of analysis in The Huffington Post called Reports of the Death of Equities: Greatly Exaggerated.  In the article Berman makes a very clear case for the fundamental valuation of equities and the understanding of concepts like intrinsic value.  We strongly recommend the article as outlining a framework similar to how we here at Valuecruncher look at valuing companies.

On understanding why intrinsic value matters

“To understand why intrinsic value matters, we need to step away from the panic and the bleak macro picture to understand that stocks are valued on earnings or cash flows. The latter is preferable because it strips out the accounting fictions of depreciation, amortization, goodwill write-downs and other non-cash charges. I teach my NYU students to follow the cash flows, not the earnings, because cash is what a business actually runs on.

Let’s take the example of Automatic Data Processing, or ADP (which is a core holding in both the Torray Fund, which we own for clients in separate accounts, and in the JBGlobal Fund L.P.). ADP is the largest payroll processor, the leader in a tremendously stable and unglamorous business. Due to rising unemployment, its stock has been hit hard, despite the fact that ADP has virtually no debt, an enormous cash position, healthy cash flows (even in this severe recession), and virtually no chance of going bust. I chose ADP but I could have chosen so many of the stocks now trading on the Dow, given how undervalued stocks are on a global basis.

ADP is currently trading at $32 per share, or 9 times its operating cash flows of $3.50 per share. In 1999 it was around four times as expensive, trading at 37 times cash flows. In effect, it is selling at a 76% discount to its 1999 price. People get excited when a pair of shoes, a car or a house sell at a 76% discount — but not stocks. As Benjamin Graham (the father of value investing and Warren Buffett’s mentor) liked to say, you should buy your stocks like you do your groceries, not as you do your jewelry: you should be happy to buy a stock when it’s on sale, even if a bleak environment is responsible for the sales price. As value investors often preach, you pay a dear price for a cheery consensus.”

The Valuecruncher interactive analyst report for ADP agrees that the stock is undervalued.

And on Warren Buffett

“Warren Buffett readily admits that his secret in acquiring enormous wealth was not vastly superior intelligence, prescience, or any trading strategy — but in always looking at stocks for what they really were: claims on the underlying cash flows of a business. Instead of trying to time the market, trade in and out, predict macroeconomic trends or divine the next stimulus package, he simply tried to buy businesses selling at reasonable prices relative to their cash flow and hold them for long periods of time — as they increased in value — often “forever.”

His secret was in understanding that when the price of a valuable business goes down, it’s time to buy, not sell. This understanding allowed him to hold stocks during the paralyzing market of the Seventies. At that time, the world seemed like it was coming to an end with Watergate, war in the Middle East, Vietnam, horrible inflation, recession, price controls, gas shortages, double digit unemployment and riots in the streets. But he held and bought more stocks (as he is now) because he understood the value at such prices.”

Well worth the read.

Discount Rates - A combination of science and art

Tuesday, June 10th, 2008

Models on Models - QuantArt


Continuing on from our look at the terminal growth rate we now turn our attention to the discount rate assumption. The discount rate is one of the key assumptions in the Valuecruncher valuation.

Deciphering the discount rate

Before addressing the technical definition of the Valuecruncher discount rate it is important to understand what the discount rate is designed to capture. The discount rate reflects the required rate of return on the investment. The discount rate consists of two key components, the time value of money and risk.

Time Value of Money

The time value of money assumes that all other things being equal you would prefer have a $1 today as opposed to waiting until tomorrow, next year or retirement. To sacrifice the opportunity to use that $1 today an incentive is required. The time value of money is reflected in the risk free rate component of the discount rate.

Risk

When considering risk in a financial context NYU Professor Aswath Damodaran cites the Chinese symbol for risk which is a combination of the characters for danger (crisis) and opportunity.

This approach recognises that risk represents more than just downside outcomes. Drawing on Damodaran again:

“…risk in finance is defined in terms of variability of actual returns on an
investment around an expected return, even when those returns represent positive
outcomes.”

Valuecruncher’s valuation considers the risk associated with the company’s forecast free cash flow.

Games of chance such as roulette have a discrete number of potential outcomes with explicitly defined returns and probabilities. The expected return, variability and therefore risk can be established relatively easily.

The risk associated with a company is the function of countless potential outcomes that reflect a multitude of company specific and macro factors.

Examples of risks associated with Apple’s future cash flows:

  • How much will the new 3G iPhone and price point increase sales?
  • Will the economic downturn impact on the company’s sales?
  • How big will the mobile web be and what will be the iPhone’s role?
  • Can Apple continue their successful development of new and improved products?

The impact and likelihood of these factors are not directly observable like the outcomes of the roulette wheel but all contribute to Apple Inc’s discount rate. This makes the process of identifying and quantifying risk one of the major challenges of the valuation process.

A technical definition of the Valuecruncher discount rate

The discount rate used in the Valuecruncher valuation is the nominal post-tax weighted average cost of capital (WACC). The weighted average cost of capital is a combination of the required rate of return of the company’s equity holders (shares/stocks) and debt holders (bonds/loans).

Valuecruncher applies the discount rate to the company’s forecast nominal post-tax free cash flow (FCF). The free cash flow is calculated as a function of Valuecruncher inputs revenue, profitability, capital expenditure, depreciation and tax.

Wake up!! That was meant to be the boring part :)

Calculating, estimating or guessing the discount rate for companies

As stated the discount rate reflects the required rate of return on both debt and equity. The debt component of the discount rate is relatively easy to estimate based on the lending terms the company enjoys i.e. what interest rate (coupon rate) does the company pay. The required rate of return of the equity component is a more difficult proposition.

Practitioners often draw on mathematical approaches such as the capital asset prising model (CAPM) and arbitrage pricing theory (APT) to estimate the required rate of return on equity. These like all approaches have their pro’s and con’s. Despite the mathematical fire power inherent in these models a subjective assessment must be made before they are incorporated into the discount rate. This subjective component relates to the relationship between the discount rate and the company’s forecast free cash flows. A discount rate calculated based on historic returns, alternative forecasts or expectations may not be consistent with the forecast free cash flow. Examples of this issue include when companies are shifting their focus (e.g. IBM’s restructuring) or the industry is in the process of dramatic change (e.g. newspapers).

There are extensive resources available online on calculating the discount rate:

Click here for the complete table including inputs

More on this topic (What's this?)
Some Q&A Regarding The Valuation Method
Fed Raises Discount Rate by 25bp
Rosenberg’s Take On The Discount Rate Hike
Read more on Federal Discount Rate, Discount Rate at Wikinvest

Estimating terminal growth rates

Wednesday, June 4th, 2008

The terminal value is a key component of any valuation. A significant portion of a company’s future cash flows will be generated beyond the Valuecruncher 3-year forecast period. The value of these cash flows is recognised in the terminal value calculation.

Valuecruncher uses a perpetuity (the company continues to generate cash flows forever) approach to calculate the terminal value that incorporates the discount rate, year 3 free cash flow and a terminal growth rate.

The terminal growth rate is an approximation that reflects the ongoing growth potential of the company’s cash flows. The company’s growth rate will fluctuate with economic and industry cycles with the terminal growth rate representing an average growth rate.

Key terminal growth considerationsA company's investment in R&D should be considered when estimating the terminal growth rate

  • Historic growth rates
  • Forecast 3-year growth rates
  • Terminal capital expenditure (e.g. how much is the company investing in R&D)
  • Competitive advantages (e.g. long-term contracts, rights or patents)
  • Current and potential market size
  • Industry dynamics (e.g. competition and barriers to entry)
  • Macroeconomic factors (e.g. GDP growth and inflation)

When determining the terminal growth rate it is important to ensure the assumption is consistent with the terminal capital expenditure estimate, e.g. How much capital expenditure is required to support Apple’s forecast 5.75% terminal growth rate?

The argument is often made that a company’s stable growth rate cannot exceed that of the economy. This constraint does not apply to the Valuecruncher terminal growth rate. The Valuecruncher terminal growth rate reflects a combination of the intermediate growth potential beyond year 3 and the company’s stable long-term growth rate.

The table below shows an implied terminal growth rate assuming the company’s year 3 growth rate converges to a stable growth rate by year 10.

Critics of the discounted cash flow methodology often cite the sensitivity of the valuation to subjective assumptions such as the the terminal growth rate as a weakness. Any methodology that recognises that valuation is a function of the company’s future cash flows should be sensitive to the company’s terminal growth rate. It is important to understand the growth implied by the valuation. Valuecruncher allows you to easily understand and quantify a valuation’s sensitivity to the company’s terminal growth rate.

If you have any questions on how to implement the Valuecruncher terminal growth rate don’t hesitate to contact us.

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