A Common-feature approach for testing present-value restrictions with financial data

It is well known that cointegration between the level of two variables (labeled Yt and yt in this paper) is a necessary condition to assess the empirical validity of a present-value model (PV and PVM, respectively, hereafter) linking them. The work on cointegration has been so prevalent that it is often overlooked that another necessary condition for the PVM to hold is that the forecast error entailed by the model is orthogonal to the past. The basis of this result is the use of rational expectations in forecasting future values of variables in the PVM. If this condition fails, the present-value equation will not be valid, since it will contain an additional term capturing the (non-zero) conditional expected value of future error terms. Our article has a few novel contributions, but two stand out. First, in testing for PVMs, we advise to split the restrictions implied by PV relationships into orthogonality conditions (or reduced rank restrictions) before additional tests on the value of parameters. We show that PV relationships entail a weak-form common feature relationship as in Hecq, Palm, and Urbain (2006) and in Athanasopoulos, Guillén, Issler and Vahid (2011) and also a polynomial serial-correlation common feature relationship as in Cubadda and Hecq (2001), which represent restrictions on dynamic models which allow several tests for the existence of PV relationships to be used. Because these relationships occur mostly with nancial data, we propose tests based on generalized method of moment (GMM) estimates, where it is straightforward to propose robust tests in the presence of heteroskedasticity. We also propose a robust Wald test developed to investigate the presence of reduced rank models. Their performance is evaluated in a Monte-Carlo exercise. Second, in the context of asset pricing, we propose applying a permanent-transitory (PT) decomposition based on Beveridge and Nelson (1981), which focus on extracting the long-run component of asset prices, a key concept in modern nancial theory as discussed in Alvarez and Jermann (2005), Hansen and Scheinkman (2009), and Nieuwerburgh, Lustig, Verdelhan (2010). Here again we can exploit the results developed in the common cycle literature to easily extract permament and transitory components under both long and also short-run restrictions. The techniques discussed herein are applied to long span annual data on long- and short-term interest rates and on price and dividend for the U.S. economy. In both applications we do not reject the existence of a common cyclical feature vector linking these two series. Extracting the long-run component shows the usefulness of our approach and highlights the presence of asset-pricing bubbles.

Forecasting multivariate time series under present-value-model short- and long-run co-movement restrictions

It is well known that cointegration between the level of two variables (e.g. prices and dividends) is a necessary condition to assess the empirical validity of a present-value model (PVM) linking them. The work on cointegration,namelyon long-run co-movements, has been so prevalent that it is often over-looked that another necessary condition for the PVM to hold is that the forecast error entailed by the model is orthogonal to the past. This amounts to investigate whether short-run co-movememts steming from common cyclical feature restrictions are also present in such a system. In this paper we test for the presence of such co-movement on long- and short-term interest rates and on price and dividend for the U.S. economy. We focuss on the potential improvement in forecasting accuracies when imposing those two types of restrictions coming from economic theory.

Forecasting Multivariate Time Series under Present-Value-Model Short- and Long-run Co-movement Restrictions

This paper has two original contributions. First, we show that the present value model (PVM hereafter), which has a wide application in macroeconomics and fi nance, entails common cyclical feature restrictions in the dynamics of the vector error-correction representation (Vahid and Engle, 1993); something that has been already investigated in that VECM context by Johansen and Swensen (1999, 2011) but has not been discussed before with this new emphasis. We also provide the present value reduced rank constraints to be tested within the log-linear model. Our second contribution relates to forecasting time series that are subject to those long and short-run reduced rank restrictions. The reason why appropriate common cyclical feature restrictions might improve forecasting is because it finds natural exclusion restrictions preventing the estimation of useless parameters, which would otherwise contribute to the increase of forecast variance with no expected reduction in bias. We applied the techniques discussed in this paper to data known to be subject to present value restrictions, i.e. the online series maintained and up-dated by Shiller. We focus on three different data sets. The fi rst includes the levels of interest rates with long and short maturities, the second includes the level of real price and dividend for the S&P composite index, and the third includes the logarithmic transformation of prices and dividends. Our exhaustive investigation of several different multivariate models reveals that better forecasts can be achieved when restrictions are applied to them. Moreover, imposing short-run restrictions produce forecast winners 70% of the time for target variables of PVMs and 63.33% of the time when all variables in the system are considered.

Forecasting multivariate time series under present-value-model short- and long-run co-movement restrictions

Using a sequence of nested multivariate models that are VAR-based, we discuss different layers of restrictions imposed by present-value models (PVM hereafter) on the VAR in levels for series that are subject to present-value restrictions. Our focus is novel - we are interested in the short-run restrictions entailed by PVMs (Vahid and Engle, 1993, 1997) and their implications for forecasting. Using a well-known database, kept by Robert Shiller, we implement a forecasting competition that imposes different layers of PVM restrictions. Our exhaustive investigation of several different multivariate models reveals that better forecasts can be achieved when restrictions are applied to the unrestricted VAR. Moreover, imposing short-run restrictions produces forecast winners 70% of the time for the target variables of PVMs and 63.33% of the time when all variables in the system are considered.

Consumption smoothing in Latin America: an empirical assessment of present value models

The study aims to assess the empirical adherence of the permanent income theory and the consumption smoothing view in Latin America. Two present value models are considered, one describing household behavior and the other open economy macroeconomics. Following the methodology developed in Campbell and Schiller (1987), Bivariate Vector Autoregressions are estimated for the saving ratio and the real growth rate of income concerning the household behavior model and for the current account and the change in national cash ‡ow regarding the open economy model. The countries in the sample are considered separately in the estimation process (individual system estimation) as well as jointly (joint system estimation). Ordinary Least Squares (OLS) and Seemingly Unrelated Regressions (SURE) estimates of the coe¢cients are generated. Wald Tests are then conducted to verify if the VAR coe¢cient estimates are in conformity with those predicted by the theory. While the empirical results are sensitive to the estimation method and discount factors used, there is only weak evidence in favor of the permanent income theory and consumption smoothing view in the group of countries analyzed.

Mecanismo LPVR - Least Present Value of Revenues como mitigador de riscos em concessões rodoviárias: uma aplicação a um caso brasileiro

Nos últimos anos o governo brasileiro tem adotado a postura de incentivo a projetos de infraestrutura, sendo as concessões rodoviárias um dos principais mecanismos. Muito se discute sobre a melhor forma de remuneração das concessionárias, sem que, ao mesmo tempo, os usuários não tenham um custo elevado e possam usufruir de bons serviçoes prestados.Essa discussão passa, principalmente, por uma análise de risco de tráfego, que hoje é inteiramente alocado as cconcessionárias. A metodologia utilizada nos últimos leilões segue uma exigência de Taxa Interna de Retorno ( TIR ) máxima, pelo Poder Concedente ( ANTT ), em termos reais e um prazo de concessão fixo. A partir de custos e investimentos estimados em determinada concessão, a ANTT define uma tarifa-teto a ser cobrada pela concessionária aos usuários através da TIR máxima exigida no projeto. Esta TIR é calculada com base no custo médio ponderado de capital ( WACC ) de empresas do setor, que tem ações negociadas na BM&F Bovespa, utilizando-se apenas dados domésticos. Neste trabalho é proposto um modelo alternativo, baseado no menor valor presente das receitas ( LPVR - Least Present Value of Revenues ). Neste modelo observamos que o risco de tráfego é bem menor para a concessionária, pois a concessão só se expira quando determinado nível de receitas exigido pela concessionária é atingido. Ou seja, para tal, é necessário um modelo de prazo flexível. Neste mecanismo, entretanto, com menor risco de tráfego, o upside e o downside, em termos de retorno, são menores em comparação com o modelo vigente. Utilizando este modelo, o Poder Concedente pode também definir um vencedor para o leilão ( a concessionária que ofertar o menor valor presente das receitas ) e também se utilizar da proposta de simulação de tráfegos para a definição de um prazo máximo para a concessão, em caso de implementação do mecanismo proposto.

The Empirical Content of the Present Value Model: A survey of the instrumental uses of farmland prices. Factor Markets Working Document No. 53, June 2013

After reviewing the Present Value Model (PVM), in its basic form and with its major extensions, the authors carried out a literature review on the instrumental uses of farm land prices; namely what land prices may reveal in the framework of the PVM. Urban influence, non-market goods and climate change are topics where the PVM used with applied data may reveal farmers’ or landowners’ beliefs or subjective values, which are discussed in this paper. There is also extensive discussion of the topic of public regulations, and how they may affect land price directly, or through its present value.

Rose's notes on the United States Supreme court reports (2 Dallas to 259 United States reports) showing the present value as authority of all cases therein reported as disclosed by all subsequent citations since the revised edition in all the courts of last resort, both federal and state, and in the annotations in American law reports, lawyers' reports annotated, annotated cases, British ruling cases, negligence and compensation cases annotated with parallel references to the above-mentioned annotated cases, the lawyers' edition of the U. S. reports and the reporter system,

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Rose's notes on the United States Supreme court reports (2 Dallas to 241 United States reports) showing the present value as authority of all cases therein reported as disclosed by all subsequent citations in all the courts of last resort, both federal and state, and in the annotations in American decisions, American reports, American state reports, Annotated cases (American and English), Lawyers' reports annotated, English ruling cases, British ruling cases, Negligence and compensation cases annotated, with parallel references to the above-mentioned Annotated cases, the Lawyers' edition of the U. S. reports and the Reporter system,

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Power generation investment opportunities evaluation: A comparison between net present value and real options approach

To evaluate an investment project in the competitive electricity market, there are several key factors that affects the project's value: the present value that the project could bring to investor, the possible future course of actions that investor has and the project's management flexibility. The traditional net present value (NPV) criteria has the ability to capture the present value of the project's future cash flow, but it fails to assess the value brought by market uncertainty and management flexibility. By contrast with NPV, the real options approach (ROA) method has the advantage to combining the uncertainty and flexibility in evaluation process. In this paper, a framework for using ROA to evaluate the generation investment opportunity has been proposed. By given a detailed case study, the proposed framework is compared with NPV and showing a different results

Martingálmértékek és a várható diszkontált jelenérték szabály (Martingale measures and the law of the discounted present value)

A dolgozatban a legegyszerűbb kérdést feszegetjük: Hogyan kell az árakat meghatározni véletlen jövőbeli kifizetések esetén. A tárgyalás némiképpen absztrakt, de a funkcionálanalízis néhány közismert tételén kívül semmilyen más mélyebb matematikai területre nem kell hivatkozni. A dolgozat kérdése, hogy miként indokolható a várható jelenérték szabálya, vagyis hogy minden jövőbeli kifizetés jelen időpontban érvényes ára a jövőbeli kifizetés diszkontált várható értéke. A dologban az egyetlen csavar az, hogy a várható értékhez tartozó valószínűségi mértékről nem tudunk semmit. Csak annyit tudunk, hogy létezik a matematikai pénzügyek legtöbbet hivatkozott fogalma, a misztikus Q mérték. A dolgozat megírásának legfontosabb indoka az volt, hogy megpróbáltam kiiktatni a megengedett portfólió fogalmát a származtatott termékek árazásának elméletéből. Miként közismert, a származtatott termékek árazásának elmélete a fedezés fogalmára épül. (...) ____ In the article the author discusses some problems of the existence of the martingale measure. In continuous time models one should restrict the set of self financing portfolios and introduce the concept of the admissible portfolios. But to define the admissible portfolios one should either define them under the martingale measure or to turn the set of admissible portfolios to a cone which makes the interpretation of the pricing formula difficult.

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.

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.

Net Present Value Table – 2% per annum Weeks 1 through 100 Effective June 27, 2014

This table gives the net present value at 2 per cent for weeks 1 through 100.