A competitive growth model with endogenous fertility

This paper investigates the interaction between endogenous fertility behavior and the distribution of income and wealth arnong farnilies in a competitive market economy. We construct a growth model in which altruistic dynasties are heterogeneous in their initial stocks of physical capital. Dynasties make choices of farnily size along with decisions about consumption and intergenerational transfers. We show that if the rate of time preference is increasing in the number of children and preferences over nurnber of children satisfy a norrnality assumption, all steady states are characterized by equality of capital stocks and consumption arnong families. We also provide sufficient conditions for uniqueness of the steady state. In order to illustrate these results, we present an example in which preferences over number of children are logarithrnic and the technology is Cobb-Douglas. For this combination of preferences and technology, there exists a unique egalitarian steady state. Moreover, the economy converges to this steady state in only one generation .

Pricing and hedging of oil futures : a unifying approach

We develop and empirically test a continuous time equilibrium model for the pricing of oil futures. The model provides a link between no-arbitrage models and expectation oriented models. It highlights the role of inventories for the identification of different pricing regimes. In an empirical study the hedging performance of our model is compared with five other one- and two-factor pricing models. The hedging problem considered is related to Metallgesellschaft´s strategy to hedge long-term forward commitments with short-term futures. The results show that the downside risk distribution of our inventory based model stochastically dominates those of the other models.

Affine processes, arbitrage-Free Term structures of legendre polynomials,and option pricing

Multivariate Affine term structure models have been increasingly used for pricing derivatives in fixed income markets. In these models, uncertainty of the term structure is driven by a state vector, while the short rate is an affine function of this vector. The model is characterized by a specific form for the stochastic differential equation (SDE) for the evolution of the state vector. This SDE presents restrictions on its drift term which rule out arbitrages in the market. In this paper we solve the following inverse problem: Suppose the term structure of interest rates is modeled by a linear combination of Legendre polynomials with random coefficients. Is there any SDE for these coefficients which rules out arbitrages? This problem is of particular empirical interest because the Legendre model is an example of factor model with clear interpretation for each factor, in which regards movements of the term structure. Moreover, the Affine structure of the Legendre model implies knowledge of its conditional characteristic function. From the econometric perspective, we propose arbitrage-free Legendre models to describe the evolution of the term structure. From the pricing perspective, we follow Duffie et al. (2000) in exploring Legendre conditional characteristic functions to obtain a computational tractable method to price fixed income derivatives. Closing the article, the empirical section presents precise evidence on the reward of implementing arbitrage-free parametric term structure models: The ability of obtaining a good approximation for the state vector by simply using cross sectional data.

A monetary mechanism for sharing capital: Diamond and Dybvig meet Kiyotaki and Wright

Historically, payment systems and capital intermediation interact. Friedman (1959), and many observers of bank instabilities, have ad- vocated separating depositary from credit institutions. His proposal meets today an ever-increasing provision of inside money, and a short- age of monetary models of bank intermediation. In this paper, we eval- uate the proposal from a new angle, with a model in which isolating a safe payments system from commercial intermediation undermines information complementarities in banking activities. Some features of the environment resemble the models in Diamond and Dybvig (1983), and Kiyotaki and Wright (1989).

Imperfectly credible disinflation under endogenous time-dependent pricing

The real effects of an imperfectly credible disinflation depend critically on the extent of price rigidity. Therefore, the study of how policymakers’ credibility affects the outcome of an announced disinflation should not be dissociated from the analysis of the determinants of the frequency of price adjustments. In this paper we examine how the policymaker’s credibility affects the outcome of an announced disinflation in a model with endogenous time-dependent pricing rules. Both the initial degree of price ridigity, calculated optimally, and, more notably, the changes in contract length during disinflation play an important role in the explanation of the effects of imperfect credibility. We initially evalute the costs of disinflation in a setup where credibility is exogenous, and then allow agents to update beliefs about the “type” of monetary authority that they face. We show that, in both cases, the interaction between the endogeneity of time-dependent rules and imperfect credibility increases the output costs of disinflation.

Nonlinear pricing beyond the demand profile approach

Wilson [16] introduced a general methodology to deal with monopolistic pricing in situations where customers have private information on their tastes (‘types’). It is based on the demand profile of customers: For each nonlinear tariff by the monopolist the demand at a given level of product (or quality) is the measure of customers’ types whose marginal utility is at least the marginal tariff (‘price’). When the customers’ marginal utility has a natural ordering (i.e., the Spence and Mirrlees Condition), such demand profile is very easy to perform. In this paper we will present a particular model with one-dimensional type where the Spence and Mirrlees condition (SMC) fails and the demand profile approach results in a suboptimal solution for the monopolist. Moreover, we will suggest a generalization of the demand profile procedure that improves the monopolist’s profit when the SMC does not hold.

Optimal growth in a two-sector model without discounting: a geometric investigation

We characterize optimal policy in a two-sector growth model with xed coeÆcients and with no discounting. The model is a specialization to a single type of machine of a general vintage capital model originally formulated by Robinson, Solow and Srinivasan, and its simplicity is not mirrored in its rich dynamics, and which seem to have been missed in earlier work. Our results are obtained by viewing the model as a specific instance of the general theory of resource allocation as initiated originally by Ramsey and von Neumann and brought to completion by McKenzie. In addition to the more recent literature on chaotic dynamics, we relate our results to the older literature on optimal growth with one state variable: speci cally, to the one-sector setting of Ramsey, Cass and Koopmans, as well as to the two-sector setting of Srinivasan and Uzawa. The analysis is purely geometric, and from a methodological point of view, our work can be seen as an argument, at least in part, for the rehabilitation of geometric methods as an engine of analysis.

Debt and default in a growth model

This paper presents a small open economy model with capital accumulation and without commitment to repay debt. The optimal debt contract specifies debt relief following bad shocks and debt increase following good shocks and brings first order benefits if the country's borrowing constraint is binding. Countries with less capital (with higher marginal productivity of capital) have a higher debt-GDP ratio, are more likely to default on uncontingent bonds, require higher debt relief after bad shocks and pay a higher spread over treasury. Debt relief prescribed by the optimal contract following the interest rate hikes of 1980-81 is more than half of the debt forgiveness obtained by the main Latin American countries through the Brady agreements.

Optimal provision of implicit and explicit incentives in asset management contracts

This paper investigates the importance of the fiow of funds as an implicit incetive provided by investors to portfolio managers in a two-period relationship. We show that the fiow of funds is a powerful incentive in an asset management contract. We build a binomial moral hazard model to explain the main trade-ofIs in the relationship between fiow, fees and performance. The main assumption is that efIort depend" on the combination of implicit and explicit incentives while the probability distrioutioll function of returns depends on efIort. In the case of full commitment, the investor's relevant trade-ofI is to give up expected return in the second period vis-à-vis to induce efIort in the first período The more concerned the investor is with today's payoff. the more willing he will be to give up expected return in the following periods. That is. in the second period, the investor penalizes observed low returns by withdrawing resources from non-performing portfolio managers. Besides, he pays performance fee when the observed excess return is positive. When commitment is not a plausible hypothesis, we consider that the investor also learns some symmetríc and imperfect information about the ability of the manager to generate positive excess returno In this case, observed returns reveal ability as well as efIort choices exerted by the portfolio manager. We show that implicit incentives can explain the fiow-performance relationship and, conversely, endogenous expected return determines incentives provision and define their optimal leveIs. We provide a numerical solution in Matlab that characterize these results.

A onda de abertura de capital de bancos no Brasil

Esse estudo investiga a onda de IPOs de bancos brasileiros de 2005 a 2007. Verificou-se que os bancos que fizeram IPO apresentam características ex-ante diferentes de bancos de mesmo porte e tipo de atuação que permaneceram com capital fechado, como maior rentabilidade, maior parcela de seus ativos aplicados em operações de crédito, menor proporção de créditos não performados e mais restrição de capital. Esses resultados mostram que a onda de abertura de capital de bancos não pode ser explicada pela teoria comportamental, e são resultado das oportunidades de crescimento distintas desses bancos em relação a seus concorrentes. Dessa forma, a liquidez de mercado deve ser entendida como condição necessária, mas não suficiente, para explicar os IPOs desses bancos. A evidência encontrada sobre o efeito da abertura de capital no desempenho operacional desses bancos sugere um aumento na proporção créditos-ativos, associado a um aumento na proporção de créditos de pior qualidade, mesmo controlado pelo boom de crédito ocorrido nesse período. Também se percebe uma melhora na eficiência administrativa, o que pode indicar economias de escala nos bancos que realizaram IPO.

Private equity and venture capital in an emerging economy: evidence from Brazil

This article, based on the Brazilian experience, examines how Private Equity and Venture Capital (PE/VC) adapts to an emerging economy Our dataset is based on two extensive questionnaires answered by each of the 65 PE/VC organizations with offices in Brazil. The results reveal that a lack of infrastructure and security create investment opportunities. However, institutional idiosyncrasies represent a major barrier and force PE/VC – a U.S. investment model – to adapt by investing in different stages of business development, avoiding LBOs, taking a generalist industry approach, geographically concentrating in the financial cluster and relying on arbitration for dispute resolution.

Um estudo sobre os desafios do investimento baseado em capital intelectual

Os investimentos em longo prazo são importantes para os fundos de pensão, visto a longevidade de seus compromissos. A maior parte dos investimentos dessas entidades está alocada no segmento de renda fixa; contudo, os fundos de pensão são identificados como potenciais investidores em empreendimentos relacionados à inovação por seus interesses de longo prazo. Em setembro de 2009, por meio da Resolução do Conselho Monetário Nacional, os fundos de pensão foram autorizados a investirem em fundos de investimentos em participação – fundos em private equity. Esses investimentos são caracterizados por retornos de longo prazo e ganhos reais atrativos; apesar disso, esses investimentos ainda são inexpressivos em comparação aos mercados tradicionais. Nesse sentido, este estudo teve por objetivo compreender as dificuldades de se realizar investimento de longo prazo por meio de capital intelectual e, a partir de um caso específico, verificar como este investidor vem realizando a análise desse tipo de investimento. Para este fim, foi realizado um estudo exploratório em um fundo de pensão de médio porte por meio de análise documental, entrevistas abertas e não estruturadas e observação no processo decisório de investimento. Esse fundo está localizado na cidade do Rio de Janeiro e foi escolhido pelo critério não probabilístico de acessibilidade. Verificou-se que, embora haja atratividade em termo de retorno financeiro, os investimentos em participações – private equity - ainda estão abaixo do limite da regulamentação, devido aos altos riscos relacionados à confiança, ao prazo e à autonomia no processo decisório de investimento em inovação.

A systematic component of the jump-risk premium in an AJD model

We develop an affine jump diffusion (AJD) model with the jump-risk premium being determined by both idiosyncratic and systematic sources of risk. While we maintain the classical affine setting of the model, we add a finite set of new state variables that affect the paths of the primitive, under both the actual and the risk-neutral measure, by being related to the primitive's jump process. Those new variables are assumed to be commom to all the primitives. We present simulations to ensure that the model generates the volatility smile and compute the "discounted conditional characteristic function'' transform that permits the pricing of a wide range of derivatives.

Beyond ‘best practices': the international regulation of capital markets

It is widely acknowledged that there is considerable international pressure for international ‘best practices’ to be adopted via national legislation. This would occur either by means of model laws or through the passing of country specific legislation that closely replicates foreign legal formats, administrative rules, and or regulation. These attempts to spread the implementation of ‘best practices’ have gained importance in the international debate due to the liberalization of international capital flows. The oversight, country reports, and technical assistance carried out by international organizations along with the growing internationalization of investors have also contributed to this growing pressure. In this respect, due to the constant evolution of transactions and the end objective of making sure that capital markets are developed with just rules, structures, and methods, this article looks to analyze the adoption of standardized models of capital market regulation. Furthermore it looks to examine the motivation and interest of states and other ‘stakeholders’ at the international level.

Wrong-way risk in stock swaps : measuring counterparty credit risk and CVA

Uma forma interessante para uma companhia que pretende assumir uma posição comprada em suas próprias ações ou lançar futuramente um programa de recompra de ações, mas sem precisar dispor de caixa ou ter que contratar um empréstimo, ou então se protegendo de uma eventual alta no preço das ações, é através da contratação de um swap de ações. Neste swap, a companhia fica ativa na variação de sua própria ação enquanto paga uma taxa de juros pré ou pós-fixada. Contudo, este tipo de swap apresenta risco wrong-way, ou seja, existe uma dependência positiva entre a ação subjacente do swap e a probabilidade de default da companhia, o que precisa ser considerado por um banco ao precificar este tipo de swap. Neste trabalho propomos um modelo para incorporar a dependência entre probabilidades de default e a exposição à contraparte no cálculo do CVA para este tipo de swap. Utilizamos um processo de Cox para modelar o instante de ocorrência de default, dado que a intensidade estocástica de default segue um modelo do tipo CIR, e assumindo que o fator aleatório presente na ação subjacente e que o fator aleatório presente na intensidade de default são dados conjuntamente por uma distribuição normal padrão bivariada. Analisamos o impacto no CVA da incorporação do riscowrong-way para este tipo de swap com diferentes contrapartes, e para diferentes prazos de vencimento e níveis de correlação.