Financial Resource

the yield necessary to attract investors to a particular investment, given the risks associated with that investment. The discount rate is applied only to discounted cash flow (DCF) valuations, which are based on projected business data over multiple periods of time. In DCF valuations, a series of projected cash flows is divided by the discount rate to derive the present value of the discounted cash flows. The sum of the discounted cash flows is added to a terminal value, which represents the present value of business cash flows into perpetuity. The sum of the discounted cash flows and the terminal value is the value of the business.

On the other hand, a capitalization rate is applied in methods of business valuation that are based on historical business data for a single period of time. The after-tax net cash flow capitalization rate is equal to the discount rate minus the long-term sustainable growth rate. The after-tax net cash flow of a business is divided by the capitalization rate to derive the present value. Capitalization rates may be modified so that they may be applied to after-tax net income or pre-tax cash flows or income. There are several different methods of determining the appropriate discount rates. The discount rate is composed of two elements: (1) the risk-free rate, which is the return that an investor would expect from a secure, practically risk-free investment, such as a government bond; plus (2) a risk premium that compensates an investor for the relative level of risk associated with a particular investment in excess of the risk-free rate. Most importantly, the selected discount or capitalization rate must be consistent with stream of benefits to which it is to be applied.

Build-Up Method

The Build-Up Method is a widely-recognized method of determining the after-tax net cash flow discount rate, which in turn yields the capitalization rate. The figures used in the Build-Up Method are derived from various sources. This method is called a “build-up” method because it is the sum of risks associated with various classes of assets. It is based on the principle that investors would require a greater return on classes of assets that are more risky. The first element of an Build-Up capitalization rate is the risk-free rate, which is the rate of return for long-term government bonds. Investors who buy large-cap equity stocks, which are inherently more risky than long-term government bonds, require a greater return, so the next element of the Build-Up method is the equity risk premium. In determining a company’s value, the long-horizon equity risk premium is used because the Company’s life is assumed to be infinite. The sum of the risk-free rate and the equity risk premium yields the long-term average market rate of return on large public company stocks.

Similarly, investors who invest in small cap stocks, which are riskier than blue-chip stocks, require a greater return, called the “size premium.” Size premium data is generally available from two sources: Morningstars’ (formerly Ibbotson & Associates’) Stocks, Bonds, Bills & Inflation and Duff & Phelps’ Risk Premium Report.

By adding the first three elements of a Build-Up discount rate, we can determine the rate of return that investors would require on their investments in small public company stocks. These three elements of the Build-Up discount rate are known collectively as the “systematic risks.”

In addition to systematic risks, the discount rate must include “unsystematic risks,” which fall into two categories. One of those categories is the “industry risk premium.” Morningstar’s yearbooks contain empirical data to quantify the risks associated with various industries, grouped by SIC industry code.

The other category of unsystematic risk is referred to as “specific company risk.” Historically, no published data has been available to quantify specific company risks. However as of late 2006, new research has been able to quantify, or isolate, this risk for publicly-traded stocks through the use of Total Beta calculations. P. Butler and K. Pinkerton have outlined a procedure using a modified Capital Asset Pricing Model (CAPM) to calculate the company specific risk premium. The model uses an equality between the standard CAPM which relies on the total beta on one side of the equation; and the firm’s beta, size premium and company specific risk premium on the other. The equality is then solved for the company specific risk premium as the only unknown. While this is ground-breaking research, it has yet to be adopted and used by the valuation community at large.

It is important to understand why this capitalization rate for small, privately-held companies is significantly higher than the return that an investor might expect to receive from other common types of investments, such as money market accounts, mutual funds, or even real estate. Those investments involve substantially lower levels of risk than an investment in a closely-held company. Depository accounts are insured by the federal government (up to certain limits); mutual funds are composed of publicly-traded stocks, for which risk can be substantially minimized through portfolio diversification; and real estate almost invariably appreciates in value of long time horizons.

Closely-held companies, on the other hand, frequently fail for a variety of reasons too numerous to name. Examples of the risk can be witnessed in the storefronts on every Main Street in America. There are no federal guarantees. The risk of investing in a private company cannot be reduced through diversification, and most businesses do not own the type of hard assets that can ensure capital appreciation over time. This is why investors demand a much higher return on their investment in closely-held businesses; such investments are inherently much more risky.

Capital Asset Pricing Model (“CAP-M”)

The Capital Asset Pricing Model is another method of determining the appropriate discount rate in business valuations. The CAP-M method originated from the Nobel Prize winning studies of Harry Markowitz, James Tobin and William Sharpe. Like the Ibbotson Build-Up method, the CAP-M method derives the discount rate by adding a risk premium to the risk-free rate. In this instance, however, the risk premium is derived by multiplying the equity risk premium times “beta,” which is a measure of stock price volatility. Beta is published by various sources (including Ibbotson Associates, which was used in this valuation) for particular industries and companies. Beta is associated with the systematic risks of an investment.

One of the criticisms of the CAP-M method is that beta is derived from the volatility of prices of publicly-traded companies, which are likely to differ from private companies in their capital structures, diversification of products and markets, access to credit markets, size, management depth, and many other respects. Where private companies can be shown to be sufficiently similar to public companies, however, the CAP-M model may be appropriate.

Weighted Average Cost of Capital (“WACC”)

The weighted average cost of capital is the third major approach to determining a discount rate. The WACC method determines the subject company’s actual cost of capital by calculating the weighted average of the company’s cost of debt and cost of equity. The WACC capitalization rate must be applied to the subject company’s net cash flow to invested equity. One of the problems with this method is that the valuator may elect to calculate WACC according to the subject company’s existing capital structure, the average industry capital structure, or the optimal capital structure. Such discretion detracts from the objectivity of this approach, in the minds of some critics.

Once the capitalization or discount rate is determined, it must be applied to an appropriate economic income streams: pretax cash flow, aftertax cash flow, pretax net income, after tax net income, excess earnings, projected cash flow, etc. The result of this formula is the indicated value before discounts. Before moving on to calculate discounts, however, the valuation professional must consider the indicated value under the asset and market approaches.

Careful matching of the discount rate to the appropriate measure of economic income is critical to the accuracy of the business valuation results. Net cash flow is a frequent choice in professionally conducted business appraisals. The rationale behind this choice is that this earnings basis corresponds to the equity discount rate derived from the Build-Up or CAP-M models: the returns obtained from investments in publicly traded companies can easily be represented in terms of net cash flows. At the same time, the discount rates are generally also derived from the public capital markets data.

Asset-based approaches

The value of asset-based analysis a business is equal to the sum of its parts. That is the theory underlying the asset-based approaches to business valuation. The asset approach to business valuation is based on the principle of substitution: no rational investor will pay more for the business assets than the cost of procuring assets of similar economic utility. In contrast to the income-based approaches, which require the valuation professional to make subjective judgments about capitalization or discount rates, the adjusted net book value method is relatively objective. Pursuant to accounting convention, most assets are reported on the books of the subject company at their acquisition value, net of depreciation where applicable. These values must be

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