Perpetual debt valuation: the net present value myopia

Would you prefer to receive a fixed rent for a period of 50 years, 75 years or perpetually? Well, if you have chosen the perpetual option, you are absolutely right. However, when considering a mathematical and financial approach, they may all end up roughly the same whenever the Net Present Value (NPV) is approximately identical. It makes common sense to choose the perpetual option even if the NPV exhibits myopia when computing the discount value of a fixed yearly rent. After a certain period, the discount value becomes approximately the same even when adding more yearly fixed rents. Corporations and governments issue perpetual bonds while recognizing these may not represent a very good financing strategy and thus implying that most of these issues are either callable or convertible on the issuer’s request. In approaching the existing perpetual debt related NPV myopia, this paper holds two main goals: firstly, we intend to study the behaviours of perpetual debt yields against other perpetual instruments and, secondly, we consider the financial methods for assessing the value of money before proposing a formula adjustment that might serve to overcome default NPV when evaluating fixed rents in perpetuity.

What Is a Firm’s Life Expectancy? Empirical Evidence in the Context of Portuguese Companies

It is a fact that the uncertainty about a firm’s future has to be measured and incorporated into a company’s valuation throughout the explicit analysis period – in the continuing or terminal value within valuation models. One of the concerns that can influence the continuing value of enterprises, which is not explicitly considered in traditional valuation models, is a firm’s average life expectancy. Although the literature has studied the life cycle of a firm, there is still a considerable lack of references on this topic. If we ignore the period during which a company has the ability to produce future cash flows, the valuations can fall into irreversible errors, leading to results markedly different from market values. This paper aims to provide a contribution in this area. Its main objective is to construct a mortality table for non-listed Portuguese enterprises, showing that the use of a terminal value through a mathematical expression of perpetuity of free cash flows is not adequate. We provide the use of an appropriate coefficient to perceive the number of years in which the company will continue to operate until its theoretical extinction. If well addressed regarding valuation models, this issue can be used to reduce or even to eliminate one of the main problems that cause distortions in contemporary enterprise valuation models: the premise of an enterprise’s unlimited existence in time. Besides studying the companies involved in it, from their existence to their demise, our study intends to push knowledge forward by providing a consistent life and mortality expectancy table for each age of the company, presenting models with an explicitly and different survival rate for each year. Moreover, we show that, after reaching a certain age, firms can reinvent their business, acquiring maturity and consequently postponing their mortality through an additional life period.

Determinants Of Firm Terminal Value: The Perspective Of North American And European Financial Analysts

Company valuation models attempt to estimate the value of a company in two stages: (1) comprising of a period of explicit analysis and (2) based on unlimited production period of cash flows obtained through a mathematical approach of perpetuity, which is the terminal value. In general, these models, whether they belong to the Dividend Discount Model (DDM), the Discount Cash Flow (DCF), or RIM (Residual Income Models) group, discount one attribute (dividends, free cash flow, or results) to a given discount rate. This discount rate, obtained in most cases by the CAPM (Capital asset pricing model) or APT (Arbitrage pricing theory) allows including in the analysis the cost of invested capital based on the risk taking of the attributes. However, one cannot ignore that the second stage of valuation that is usually 53-80% of the company value (Berkman et al., 1998) and is loaded with uncertainties. In this context, particular attention is needed to estimate the value of this portion of the company, under penalty of the assessment producing a high level of error. Mindful of this concern, this study sought to collect the perception of European and North American financial analysts on the key features of the company that they believe contribute most to its value. For this feat, we used a survey with closed answers. From the analysis of 123 valid responses using factor analysis, the authors conclude that there is great importance attached (1) to the life expectancy of the company, (2) to liquidity and operating performance, (3) to innovation and ability to allocate resources to R&D, and (4) to management capacity and capital structure, in determining the value of a company or business in long term. These results contribute to our belief that we can formulate a model for valuating companies and businesses where the results to be obtained in the evaluations are as close as possible to those found in the stock market

Determinants of Terminal Value in the Evaluation of Companies: A Panel Data Approach to the Context of European Companies.

The uncertainty of the future of a firm has to be modelled and incorporated into the evaluation of companies outside their explicit period of analysis, i.e., in the continuing or terminal value considered within valuation models. However, there is a multiplicity of factors that influence the continuing value of businesses which are not currently being considered within valuation models. In fact, ignoring these factors may cause significant errors of judgment, which can lead models to values of goodwill or badwill, far from the substantial value of the inherent assets. Consequently, these results provided will be markedly different from market values. So, why not consider alternative models incorporating life expectancy of companies, as well as the influence of other attributes of the company in order to get a smoother adjustment between market price and valuation methods? This study aims to provide a contribution towards this area, having as its main objective the analysis of potential determinants of firm value in the long term. Using a sample of 714 listed companies, belonging to 15 European countries, and a panel data for the period between 1992 and 2011, our results show that continuing value cannot be regarded as the current value of a constant or growth perpetuity of a particular attribute of the company, but instead be according to a set of attributes such as free cash flow, net income, the average life expectancy of the company, investment in R&D, capabilities and quality of management, liquidity and financing structure.

The Terminal Value (TV) Performing in Firm Valuation: The Gap of Literature and Research Agenda

The uncertainty about the future of firms must be modeled and incorporated in the valuation of enterprises outside the explicit period of analysis, i.e., in the continuing or terminal value (TV). There is a multiplicity of factors that influence the TV of firms which are not being considered within current evaluation models. This aspect leads to the incurring of unrecoverable errors, thus leading to values of goodwill or bad will far away from the substantial value of intrinsic assets. As a consequence, the evaluation results will be presented markedly different from market values. There is no consensus in the scientific community about the method of computation of the TV as a forecast in an infinite horizon. The size of the terminal, or non-explicit period, assumed as infinite, is never called into question by scientific literature, or the probability of business bankruptcy. This paper aims to promote a study of the existing literature on the TV, to highlight the fragility of the evaluation models of companies that have been used by the academic community and by financial analysts, and to point out lines for future research to minimize these errors.

O valor terminal ou de continuidade, na avaliação de empresas

É um facto que a incerteza sobre o futuro das sociedades tem de ser modelada e incorporada na sua avaliação, fora do período explícito de análise, ou seja: nos valores de continuidade (VC), valor residual (VR) ou valor terminal (VT), considerados nos modelos de avaliação. Existem inúmeros fatores que influenciam o valor de continuidade das empresas e que não são, atualmente, considerados nos modelos de avaliação de empresas, destacando-se, entre os mais relevantes, a ausência de quaisquer referências à esperança média de vida das empresas. De facto, ao ignorarmos esses fatores, podemos incorrer em erros irreparáveis, conduzindo as avaliações a valores de goodwill ou badwill, muito longe do real valor substancial dos ativos, que lhes é intrínseco. Como consequência, os referidos resultados apresentar-se-ão vincadamente diferentes dos valores de mercado. Assim, porque não considerar modelos alternativos (incorporando nos mesmos a esperança de vida das empresas) e a influência de outros fatores, de forma a obter um ajustamento mais eficiente, no que respeita à forma de cálculo do valor da empresa? Este trabalho pretende fornecer um contributo neste domínio, tendo como primeiro objetivo (e para além da revisão da literatura existente sobre a matéria) a construção de uma tábua de mortalidade para as empresas portuguesas, que possa ser utilizada para eliminar ou, pelo menos, reduzir um dos principais problemas causadores de distorção dos atuais modelos de avaliação de empresas: a premissa de existência (ilimitada no tempo) de uma empresa. Com esse propósito, através da metodologia associada à construção de tábuas de mortalidade para os seres humanos, construímos uma tabela com a esperança média de vida associada às empresas portuguesas. Assim, usando uma base de dados (com cerca de 182.000 registos sobre falências, dissoluções e cessão de atividade em Portugal, desde 1900 até 2009), concluímos que, nos primeiros 5 anos, “morrem” 31% das empresas e que a esperança média de vida (à nascença) é de 12 anos. Estes resultados evidenciam a fragilidade dos modelos de avaliação de empresas, em que se estima o VT com uma perpetuidade. Após ficar patente que as empresas não têm uma esperança de vida infinita, preocupar-nos-emos em identificar quais os fatores responsáveis pela existência da empresa (no longo prazo), fatores esses que possam, porventura, justificar uma vida mais longa das sociedades. VI Nesse sentido, o segundo objetivo passou por identificar quais os fatores determinantes do valor terminal da empresa. Assim [utilizando uma amostra de 714 empresas cotadas, pertencentes a 15 países europeus e para um período compreendido entre 1992 e 2011, usando a metodologia GMM (Generalized method of moments), aplicada a dados em painel dinâmico], os resultados evidenciam que o valor de continuidade não pode ser considerado como o valor atual de uma perpetuidade constante (ou com crescimento) de um determinado atributo da empresa mas, sim, em função de um conjunto de atributos, como os free cash flows, os resultados líquidos, a esperança média de vida da empresa, o investimento em I&D, as capacidades e qualidade da gestão, a liquidez dos títulos e a estrutura de financiamento. Como terceiro objetivo (e mantendo a particular atenção na estimação do VT da empresa), procurou-se cruzar os resultados obtidos no estudo anterior com as perceções dos analistas Europeus e Estadunidenses acerca dos atributos da empresa que, na opinião destes, mais contribuem para o seu valor. Para o feito, recorreu-se a um inquérito, com respostas fechadas. Da análise das 123 respostas válidas, obtidas usando a análise fatorial, concluiuse serem determinantes do valor de uma empresa ou negócio os seguintes fatores: a esperança média de vida da empresa, a sua liquidez e desempenho operacional, a inovação e capacidade de afetação de recursos a I&D, as capacidades de gestão e a estrutura de capital, confirmando-se as conclusões até então obtidas. Por fim, fez-se um esforço no sentido de fornecer ao leitor uma nova aproximação teórica ao modelo Discounted CashFlow (DCF), tendo em conta as variáveis entretanto identificadas no nosso estudo. Estes resultados contribuem, a nosso ver, para que se possa caminhar no sentido da construção de um modelo de avaliação de empresas e negócios ainda mais apurado, em que os resultados obtidos nas avaliações se aproximem o mais possível dos verificados no mercado.

Perpetual debt valuation: the net present value myopia

Would you prefer to receive a fixed rent for a period of 50 years, 75 years or perpetually? Well, if you have chosen the perpetual option, you are absolutely right. However, when considering a mathematical and financial approach, they may all end up roughly the same whenever the Net Present Value (NPV) is approximately identical. It makes common sense to choose the perpetual option even if the NPV exhibits myopia when computing the discount value of a fixed yearly rent. After a certain period, the discount value becomes approximately the same even when adding more yearly fixed rents. Corporations and governments issue perpetual bonds while recognizing these may not represent a very good financing strategy and thus implying that most of these issues are either callable or convertible on the issuer’s request. In approaching the existing perpetual debt related NPV myopia, this paper holds two main goals: firstly, we intend to study the behaviours of perpetual debt yields against other perpetual instruments and, secondly, we consider the financial methods for assessing the value of money before proposing a formula adjustment that might serve to overcome default NPV when evaluating fixed rents in perpetuity.

Pequenas cidades históricas e seus visitantes: aplicação a uma cidade histórica do Norte de Portuga

A caracterização da procura turística de uma determinada localidade é uma temática relevante, tanto para a análise da atual situação da atividade turística quanto para o seu planeamento e desenvolvimento. Este artigo tem como objetivo geral descrever o perfil do visitante de pequenas cidades históricas, bem como a opinião destes acerca da gestão patrimonial efetuada. O estudo foi aplicado a uma cidade histórica do norte de Portugal (Lamego) que integra a delimitação do Douro Património da Humanidade. Em termos metodológicos, foi usada uma abordagem quantitativa, através da realização de uma inquirição por questionário aplicado a 339 visitantes desta cidade histórica. Os resultados permitiram obter um melhor conhecimento dos visitantes em termos de perfil sociodemográfico, do produto consumido, da gestão e experiência turística e do tipo de viagem. Este conhecimento revela‑se indispensável para adequar a oferta à procura numa visão de desenvolvimento sustentável, sendo útil para as diversas partes interessadas (stakeholders) deste destino turístico.