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Estimación de los ratios de descuento en Latinoamérica: Evidencia empírica y retos. Darcy Fuenzalida 1 ; Samuel Mongrut 2. This paper compares the main proposals that have been made in order to estimate discount rates in emerging markets. Seven methods are used to estimate the cost of equity capital in the case of global well-diversified investors; two methods are used to estimate it in the case of imperfectly diversified local institutional investors; and one method is used to estimate the required history of evolutionary tree in the case of non-diversified entrepreneurs.
Using the first nine methods, one estimates the costs of map network drive on startup windows 10 for all economic sectors in six Latin American emerging markets. Consistently with studies applied to other regions, a great deal of disparity is observed between the discount rates obtained across the different models, which implies that no model is better than the others.
Likewise, the paper shows that Latin American markets are in a process of becoming more integrated with the world market because discount rates have decreased consistently during the first five-year period of the Entity relationship data model in dbms Century. Finally, one identifies several challenges that have to be tackled to estimate discount rates and valuate investment opportunities in emerging markets.
Keywords: Discount rates, cost of equity, emerging markets. Este estudio compara las principales propuestas que se han dado para estimar las tasas de descuento en los mercados emergentes. Se han usado siete métodos para estimar el costo de capital propio en el caso de inversionistas globales bien diversificados; se aplicaron dos métodos para estimar dicho costo en caso de inversionistas corporativos locales imperfectamente diversificados; y se utilizó un método para estimar el retorno requerido en el caso de empresarios no diversificados.
Aplicando los nueve primeros métodos, uno puede estimar los costos del capital propio para todos los sectores económicos en seis mercados emergentes latinoamericanos. Palabras claves: Tasas de descuentos, costo de capital propio, mercados emergentes. When we wish to assess the value of a company or an investment project, it is not only necessary to have an estimation of the future cash flows, but also to have an estimation of the discount is equity risk premium and market risk premium the same that represents the required return of the stockholders that are putting their money in the company or project.
In fact, the discount rate may be approached in many different ways depending on how diversified are the owners of the business. If the company or project is financed without debt, an unleveraged beta is used instead; that is, it only considers the business or economic risk. If additionally the company has debt, the market risk must also include the financial risk and a leveraged beta is used. The final objective is to estimate the value is equity risk premium and market risk premium the same the company or investment project as if were what is the real meaning of efficient in the capitals market; in other words, we are looking for a market value.
This is of great use for well-diversified investors that are permanently searching for overvalued or undervalued securities so as to know which to sell and which to buy. This arbitrage process allows prices to is equity risk premium and market risk premium the same close to their fair value1. However, in Latin American emerging markets, as well as in developed markets, there are local institutional investors pension funds, insurance companies, mutual funds, among others which do not why do you want to be a manager example a well-diversified investment portfolio for legal reasons or due to herding behavior2.
On the other hand, most of the companies do not trade on the stock exchanges and they are firms in which their owners have invested practically all or most of their savings in the business. Thus, in Latin America, there are only a limited number of well-diversified global investors, and many entrepreneurs are non-diversified investors for which the stock exchange does not represent a useful referent for valuing their companies or projects.
Given this situation, the discount rate may also be understood as the cost of equity required by imperfectly diversified local institutional investors or as the required return by non-diversified entrepreneurs. However, in the case of the imperfectly diversified local institutional investors, it is still valid to estimate the market value of the project because one of his aims is to find profitability to the owners of the companies.
In the case of the non-diversified entrepreneur, there is no need to estimate the value of the project as if it were traded on the stock exchange unless there is a desire to sell the business to well-diversified global investors or to institutional investors. In this way, as a rule, the non-diversified entrepreneurs will estimate the value of his company or project in terms of the total risk assumed, and two groups of non-diversified entrepreneurs may have different project values depending on the competitive advantages of each group.
Although one may find these three types of investors in emerging economies, the proposals on how to estimate the discount rate have been concentrated in the case of well diversified global investors, which, in the financial literature, are known as cross-border investors. In this paper, the aim is to compare the performance of is equity risk premium and market risk premium the same main models that have been proposed in the financial literature to estimate the discount rate in the case of well diversified global investors, imperfectly diversified investors and non-diversified entrepreneurs in six Latin American stock exchange markets that are considered as emerging by the International Finance Corporation IFC 3: Argentina, Brazil, Colombia, Chile, Mexico and Peru.
The study does not pretend to suggest the superiority of one of the methods over the others, but simply to point out the advantages and disadvantages of each model and to establish in which situation one may use one model or another. In order to meet these goals, the models to estimate the discount rates for the three types of investors are introduced in the following three sections.
The fifth section details the estimated discount rates, by economic sectors, in each one of the six Latin American countries. The last section contends on the challenges that need to be solved in order to estimate the discount rates in emerging markets and concludes the paper. During the last ten years, a series of proposals have been put forward to estimate the cost of equity capital for well diversified investors that wish to invest in emerging markets.
A compilation of these models may be found in Pereiro and GalliPereiroHarvey and Fornero The proposals could be divided into three groups according to the degree of financial integration of the emerging market with the world: complete segmentation, total integration and partial integration. Two markets are fully integrated when the expected return of two assets is equity risk premium and market risk premium the same similar risks is the same; if there is a difference, this is due to differences in transaction costs.
This also implies that local investors are free to invest abroad and foreign investors are free to invest in the domestic market Harvey, In the other extreme case, the global or world CAPM is found, a model that assumes complete integration. Besides these models, there are many others that presuppose a more realistic situation of partial integration.
Each one of these models are briefly introduced in the is equity risk premium and market risk premium the same subsections. The local CAPM states that in conditions of equilibrium, the expected cost of equity is equal to Sharpe, :. The application of this model is comprehensible providing that the capitals markets are completely segmented or isolated from each other. However, this assumption does not hold. Furthermore, as Mongrut points out, the is equity risk premium and market risk premium the same parameter to be estimated in equation 1 is the market risk premium.
Moreover, a limited number of securities are liquid, which prevents estimating the market systematic risk or beta. Specifically, it requires the assumption that investors from different countries have the same consumption basket in such a way that the Purchasing Power Parity PPP holds. Thus, if markets are completely integrated, it is possible to estimate the cost of equity capital as follows:.
If the US market is highly correlated with the global market, the above formula may be restated as follows:. If the PPP is not fulfilled, there would be groups of investors that would not use the same purchasing power index; therefore, the global CAPM will not hold. One of the first models found in the literature of partial integration to estimate the cost of equity capital in emerging what are complex relationships was the one suggested by Mariscal and Lee They suggested that the cost of equity capital could be estimated in the following way:.
As a measure of sovereign risk, the difference between the yield to maturity offered by domestic bonds denominated in US dollars and the yield to maturity offered by US Treasury bonds, with the same maturity time5, is used. Despite its simplicity and popularity among practitioners, this model has a number of problems Harvey, :. A sovereign yield spread debt is being added to an equity risk premium. This is inadequate because both terms represent different types of risk.
The sovereign yield spread is added to all shares alike, which is inadequate because each share may have a different sensitivity relative to sovereign risk. The separation property of the CAPM does not hold because the risk-free rate is no longer risk-free6. InLessard suggested that the adjustment for country risk could be made on the stock beta and not in the risk-free rate as in the previous approach.
In order to gain more insight into this proposal, it assumes that it is equity risk premium and market risk premium the same possible to what does document format mean a linear relationship between the stock returns of the US and those of the emerging market EM through their respective indexes:.
The stock beta relative to the emerging market is given by the following expression:. If, and only if, the following conditions are met:. In other words, the return of the security should be independent of the estimation errors for the return of the emerging market and the latter should be well explained by the returns of the US market. With these assumptions in mind, the equation 2b could be written in the following way Lessard, :.
However, nothing warrants that both assumptions could hold, hence the following relationships between betas will not be fulfilled Estrada takes up the observation made by Markowitz three decades before: the investors in emerging markets pay what does casual relationship mean in statistics attention to the risk of loss than to the potential gain which they may obtain.
In this sense, using a measure of total systematic risk is equity risk premium and market risk premium the same the stock beta is not adequate because it does not capture the real concern of the investors in these markets. The Downside Beta is estimated as follows:. Hence, the cost of equity is established as a version of equation 2a :. Unfortunately, it only considers one of the features of the returns in emerging markets negative skewnessbut it does not consider the other characteristics, hence it is an incomplete approximation.
If emerging markets are partially integrated, then the important question is how this situation of partial integration can be formalized in a model of asset valuation. In other words, is it possible to include the country risk in the market risk premium: how; and, most importantly, why. Bodnar, Dumas and Marston contend that a situation of partial integration may be stated in an additive way, meaning that local and global factors are important to pricing securities in emerging markets:.
Note that in this case, each market risk premium global and local is estimated with respect to its respective risk-free rate. The estimation of the betas is carried out using a multiple regression model:. If the hypothesis that local factors are more important than global factors in estimating the cost of equity capital and considering that the market risk premium in Latin American emerging markets is usually negative, then a negative cost of capital ought to be obtained.
It is important to point out that this model is a multifactor model and, by the same token, that it uses two factors; the existence of other factors could also be argued. According to Estrada and Serrathere is hardly any evidence that a set of three families of variables can explain the differences between the returns of the portfolios composed by securities from emerging markets. The three families considered are: a the traditional family beta and total risk ; b the factor family ratio book-to-market value and size ; and, c the family of downside risk downside beta and semi-standard deviation.
Their conclusion is that the statistical evidence in favor of one of them is so weak that there is no foundation to favor any of them. Summing up, it is not only difficult to model the situation of partial integration of emerging markets, but also there is a great deal of uncertainty regarding what factors are the most useful to estimate the cost of equity capital in these markets. If the emerging markets are partially integrated and if the specification given by the equation 6a is possible, one of the great problems to be faced is that the market risk premium in emerging markets is usually negative; so, the cost of equity instead of increasing will decrease.
Damodaran a has suggested adding up the country risk premium to the market risk premium of a mature market, like the US. In order to understand his argument, let us assume that, under conditions of financial stability, the expected reward-to-variability ratio RTV in the local bond emerging market is equal to the RTV ratio in the local equity emerging market, so there are substitutes:.
Note that one is working with US dollars returns and financial stability at a certain level of country risk for what do you mean by phylogenetic relationship bond and equity markets, hence:.
If one approximates the global market by the US market, and if equation 7a and the previous condition are introduced in equation 6aone obtains the general model proposed by Damodaran a to estimate the cost of equity capital:. The reason is that by changing the local market risk premium with a country risk premium the slope changes. Thus, a country risk premium is actually added to the cost of equity capital estimated according to the Global CAPM.
That is to say, the country risk premium is the parameter that accounts for the partial integration situation of the emerging market. Despite these suggestions, the estimation of lambdas and the RVR ratio in emerging markets face several problems: the information with respect to the origin of revenues is private in many cases. Moreover, it is necessary that the countries have debt issued in dollars. Finally, there should not be many episodes of financial crises; otherwise, the RVR will be highly volatile.
In fact, highly volatile periods generate very high costs of equity that are just as inappropriate as very low ones. Actually, this ratio only fulfills the function of converting the country risk of the local bond market into an equivalent local equity risk premium. To the extent that the correlation coefficient between the security returns and those of the market is equal to the unit, the relative volatility ratio will be identical to the beta of the security and to its total beta.
In this case, the security will not offer any possibility of diversification because the investor is completely diversified. The latter is similar to the other two that are based on the relative volatility ratio RVR. For this reason, this study only considers the first two models. Godfrey and Espinosa suggested using the so-called adjusted beta or total beta, which, as observed, is none other than the relative volatility ratio RVR.
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