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Fundamentals of Project Management



                      Notes                                    β  = Beta of the equity of company
                                                                E
                                                            E(R ) = Expected return on the market portfolio
                                                               M
                                    The SML is regarded by many as a fairly rigorous and objective approach to determining the
                                    required return on equity. This approach, however, is based on the assumption that investors
                                    eliminate unsystematic risk by efficient diversification and hence require compensation only
                                    for systematic risk which is reflected in beta. Market imperfections may impede efficient
                                    diversification by investors, exposing them to unsystematic risk. When this occurs, investors
                                    will require compensation for unsystematic risk, a factor which is not found in the security
                                    market line relationship. Another shortcoming of the SML relates to the instability of the betas
                                    of individual securities. Studies have shown that individual securities have unstable betas. This
                                    makes the use of a historical beta as a proxy for the future beta somewhat questionable.
                                    Notwithstanding these shortcomings, the SML approach is a useful approach for estimating the
                                    required rate of return of equity stocks.

                                    Bond Yield Plus Risk Premium Approach

                                    Analysts who do not have faith in the SML approach often resort to a subjective procedure to
                                    estimate the cost of equity. They add a judgmental risk premium to the observed yield on the
                                    long term bonds of the firm to get the cost of equity:
                                                  Cost of equity = Yield on long-term bonds + Risk premium

                                    The logic of this approach is fairly simple. Firms that have risky and consequently high cost debt
                                    will also have risky and consequently high cost equity. So it makes sense to base the cost of
                                    equity on a readily observable cost of debt.

                                    The problem with this approach is how to determine the risk premium. Should it be 2 percent,
                                    4 percent, or n percent? There seems to be no objective way of determining it. Most analysts look
                                    at the operating and financial risks of the business and arrive at a subjectively determined risk
                                    premium that normally ranges between 2 percent and 6 percent. While this approach may not
                                    produce a precise cost of equity, it will give a reasonable ballpark estimate.

                                    Earnings-Price Ratio Approach

                                    According to this approach, the cost of equity is equal to:
                                                                        E  /P
                                                                         l  0
                                    Where
                                                                E = expected earnings per share for the next year
                                                                 l
                                                               P  = current market price per share
                                                                0
                                    E  may be estimated as: (Current earnings per share) × (1 + Growth rate of earnings per share).
                                     l
                                    This approach provides an accurate measure of the rate of return required by equity investors in
                                    the following two cases:
                                    1.   When the earnings per share are expected to remain constant and the dividend payout
                                         ratio is 100 percent.
                                    2.   When retained earnings are expected to earn a rate of return equal to the rate of return
                                         required by equity investors.
                                    The first case is rarely encountered in real life and the second case is also somewhat unrealistic.
                                    Hence, the earnings-price ratio should not be used indiscriminately as the measure of the cost of
                                    equity capital.



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