196 research outputs found
A note on calculating value with constant borrowing
No full textEs ampliamente conocido que sí el endeudamiento es constante en el tiempo, entonces el costo del patrimonio, Ke, y el costo promedio de capital CPPC también son constantes. En otras palabras, no es correcto usar un CPPC constante para descontar el flujo de caja libre FCL, sí el endeudamiento cambia en el tiempo. Sin embargo, es muy común, tanto en la práctica como en la literatura, encontrar analistas y autores que de manera inconsistente usan un CPPC para descontar el FCL aunque el endeudamiento no sea constante. En esta nota pedagógica utilizamos un ejemplo numérico sencillo para ilustrar cómo modelar los flujos de caja que sean consistentes con ese endeudamiento. En el ejemplo se verifica la consistencia con dos principios básicos: la A de los flujos de caja y la conservación de los valores.It is widely known that if debt is constant over time, then the cost of equity, Ke, and the average cost of capital WACC are also constant. In other words, it is not correct to use a constant WACC to discount FCF free cash flow if the leverage changes over time. However, it is very common, both in practice and in the literature, to find analysts and authors who inconsistently use a WACC to discount the FCF even though the indebtedness is not constant. In this pedagogical note we use a simple numerical example to illustrate how to model the cash flows that are consistent with that indebtedness. In the example, consistency is verified with two basic principles: the A of cash flows and the conservation of values
POTENTIAL DIVIDENDS AND ACTUAL CASH FLOWS IN EQUITY VALUATION. A CRITICAL ANALYSIS
No full textPractitioners and most academics in valuation include changes in liquid assets (potential dividends) in the cash flows. This widespread and wrong practice is inconsistent with basic finance theory. We present economic, theoretical, and empirical arguments to support the thesis. Economic arguments underline that only flows of cash should be considered for valuation; theoretical arguments show how potential dividends lead to contradiction and to arbitrage losses. Empirical arguments, from recent studies, suggest that investors discount potential dividends with high discount rates, which means thatchanges in liquid assets are not value drivers. Hence, when valuing cash flows, we should consider only actual payments.Cash flow to equity, potential dividends, equity value.
WHICH COST OF DEBT SHOULD BE USED IN FORECASTING CASH FLOWS?
No full textABSTRACTFrequently, analysts and teachers use the capitalized rate of interest for the cost of debt when forecasting and discounting cash flows. Others estimate the interest payments when forecasting annual financial statements or cash flows based on the average of debt calculated with the beginning and ending balance. Others use the end of year convention that calculates the yearly interest multiplying the beginning balance times its contractual cost. The use of one or other methods is critical for the definition of the tax savings. These approaches are illustrated with examples and the differences in using them. A simple proposal to solve the problem is presented.Cost of debt, forecasting financial statements, seasonality.
Adjustment of the WACC with Subsidized Debt in the Presence of Corporate Taxes: the N-Period Case
No full textIn the Weighted Average Cost of Capital (WACC) applied to the free cash flow (FCF), we assume that the cost of debt is the market, unsubsidized rate. With debt at the market rate and perfect capital markets, debt only creates value in the presence of taxes through the tax shield. In some cases, the firm may be able to obtain a loan at a rate that is below the market rate. With subsidized debt and taxes, there would be a benefit to debt financing, and the unleveraged and leveraged values of the cash flows would be unequal. The benefit of lower tax savings are offset by the benefit of the subsidy. These two benefits have to be introduced explicitly. In this paper we present the adjustments to the WACC with subsidized debt and taxes and the cost of leveraged equity for multiple periods. We demonstrate the analysis for both the WACC applied to the FCF and the WACC applied to the capital cash flow (CCF). We use the calculation of the Adjusted Present Value, APV, to consider both, the tax savings and the subsidy. We show how all the methods match.Adjusted Present Value, APV, weighted average cost of capital, discounted cash flow, DCF equity value, cost of equity, WACC, subsidized debt with taxes, valuation of cash flows, project evaluation, project appraisal, firm valuation, cost of capital, cash flows, free cash flow, capital cash flow
EVA(c) Made Simple: Is it Possible?
No full textVélez-Pareja and Tham, 2003a, Vélez-Pareja and Tham, 2003b and Tham and Vélez-Pareja, 2004 showed the matching between discounted cash flow (DCF) methods and value added methods. They departed from the net operating profit less adjusted taxes NOPLAT and net income when using market values to calculate the weighted average cost of capital (WACC) and the cost of levered equity, Ke. In those previous works they assumed that the proper discount rate for the tax savings is the unlevered cost of equity, Ku. We assume the same discount rate in this paper. The previous procedures implied circularity between the cost of capital and the levered values. In this paper we show that the same firm values can be obtained using the cost of unlevered equity, Ku and the net income and the interest charges. No circularity is found using this procedure.
Potential dividends and actual cash flows. Theoretical and empirical reasons for using ‘actual’ and dismissing ‘potential’, Or: How not to pull potential rabbits out of actual hats
No full textPractitioners and academics in valuation include changes in liquid assets (potential dividends) in the cash flows. This widespread and wrong practice is inconsistent with basic finance theory. We present economic, theoretical, and empirical arguments to support the thesis. Economic
arguments underline that only flows of cash should be considered for valuation; theoretical arguments show how potential dividends lead to contradiction and to arbitrage losses. Empirical arguments, from recent studies, suggest that investors discount potential dividends with high
discount rates, which means that changes in liquid assets are not value drivers. Hence, when valuing cash flows, we should consider only actual payments
Modeling the Financial Impact of Regulatory Policy: Practical Recommendations and Suggestions. The Case of World Bank
No full textWorld Bank (WB) has played a crucial role in the development of the economies of the world, especially in the emerging countries. We recognize the leadership it has shown and the intellectual authority the WB has on planning offices, practitioners and consultants. For this reason it is very sensitive whatever improvements made in the methodologies it uses in assessing the feasibility of infrastructure projects. This influence affects private practice in valuation and project appraisal as well. Vélez -Pareja in 1999 warned: “constant price methodology implies some assumptions and a mixture of items, some deflated, and some others not deflated”. Vélez -Pareja and Tham 2002 warned again: “financial statements at constant prices will be useless when the project is implemented because what occurs in reality (that is what we are interested in) is very different from what is written in the final report of a project evaluation. Some of the items are deflated while others (say depreciation charges and interest payments) are in nominal prices. Hence, for managerial purposes, it is of no use to have this mixed information in the financial statements.” In general, both papers warn about the overvaluation of a project when appraised at constant prices. Some reactions to these assertions were that it was the construction of a straw man to destroy it. We have a beautiful case where the constant prices methodology is fully at work: the Financial Modeling of Regulatory Policy by the World Bank. On the other hand Tham and Vélez-Pareja 2004 mentioned the most frequent (and avoidable) mistakes when valuing cash flows. In this paper we show how in that case they present several conceptual mistakes such as valuation at constant prices, mixing deflated and non-deflated items in financial statements, using constant leverage when in the forecasted financial statements it is not constant, inconsistency in the cash flow and value calculations and some other irregularities that will be described in the body of the paper. This analysis shows an overvaluation of more than 21% when the constant prices methodology is compared with the current prices methodology and using market values to calculate the WACC. The last two appendixes show the correspondence between the author and officials and consultants from the World Bank.
Estimación del valor de los ahorros en impuestos por deuda de los 22 principales emisores "no financieros" de valores en Colombia entre 2001 y 2010
No full textDesde los primeros postulados de Modigliani y Miller en 1963, el tema de los
Ahorros en Impuestos pasó de estar desapercibido, a ocupar un lugar importante en la
mayoría de los artículos y libros de texto que abordan el estudio de la Estructura de Capital
de las empresas. Más adelante Wrightsman (1978) planteó, en un artículo breve, una
interesante forma de estimar el mejor monto ajustado de Ahorros en Impuestos,
relacionándolos directamente con los resultados operativos de las compañías.
Algunos años después, las ideas de Wrightsman fueron replanteadas por otros
autores, entre ellos Vélez-Pareja (2008, 2010), y las conclusiones que de allí emanaron,
marcan un precedente para este trabajo y la manera de llevarlas del papel a la práctica.
En la actualidad, los Ahorros en Impuestos por Deuda representan una importante
proporción del Valor Total de muchas compañías, por lo cual pasan a ser un componente
bastante referenciado de la estructura de capital, poseyendo un potencial incluso para
determinar los niveles óptimos de inversión, de tal forma que la literatura acerca de ¿cómo
valorar los Ahorros en Impuestos? ha crecido exponencialmente, de la mano de teóricos
que buscan dar respuesta a esta pregunta y a otras que van surgiendo durante el camino.Incluye bibliografía, anexo
CONSTANT LEVERAGE AND CONSTANT COST OF CAPITAL: A COMMON KNOWLEDGE HALF-TRUTH
No full textA typical approach for valuing finite cash flows is to assume that leverage is constant (usually as target leverage) and the cost of equity, Ke and the Weighted Average Cost of Capital, WACC are also assumed to be constant. For cash flows in perpetuity, and with the cost of debt, Kd as the discount rate for the tax shield, it is indeed the case that the Ke and WACC applied to the FCF are constant if the leverage is constant. However this does not hold true for finite cash flows. In this document we show that for finite cash flows, Ke and hence WACC depend on the discount rate that is used to value the tax shield, TS and as expected, Ke and WACC are not constant with Kd as the discount rate for the tax shield, even if the leverage is constant. We illustrate this situation with a simple example. We analyze five methods: DCF using APV, FCF and traditional and general formulation for WACC, present value of CFE plus debt and Capital Cash Flow, CCF.WACC, constant cost of capital, constant leverage, cash flows
Timanco S. A.: Impuestos por pagar, pérdidas amortizadas, deuda en divisas, renta presuntiva y ajustes por inflación. Su tratamiento con Flu
No full textEn Vélez-Pareja y Tham (2003), se presentó la forma de hacer coincidir los métodos de valor agregado (utilidad económica (UE) (Residual Income Method, RIM) y el valor económico agregado (VEA) (Economic Value Added, EVA)) y los métodos de flujo de caja descontado (discounted cash flow, DCF). Allí se utilizó un ejemplo ficticio relativamente complejo, pero todavía alejado de la realidad. En esta nota utilizamos un caso real de un país emergente para ilustrar el mismo procedimiento con algunas complejidades típicas de esos países, tales como impuestos por pagar, pérdidas amortizadas, deuda en divisas, renta presuntiva y ajustes por inflación a los estados financieros. En todos los métodos utilizados se trabajó con valores de mercado para calcular las tasas de descuento apropiadas. Insistimos en lo que Vélez-Pareja, 1999 y Fernández 2002 han señalado: considerado en forma individual y aislada, tanto el RIM como el EVA no miden el valor. Se debe incluir las expectativas de los flujos de caja y los valores de mercado en el cálculo de las tasas de descuento y por ende, el cálculo del valor.
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