Cálculo do Value at Risk (VaR) para o Ibovespa, pós crise de 2008, por meio dos modelos de heterocedasticidade condicional (GARCH) e de volatilidade estocástica (Local Scale Model - LSM)

O objetivo deste estudo é propor a implementação de um modelo estatístico para cálculo da volatilidade, não difundido na literatura brasileira, o modelo de escala local (LSM), apresentando suas vantagens e desvantagens em relação aos modelos habitualmente utilizados para mensuração de risco. Para estimação dos parâmetros serão usadas as cotações diárias do Ibovespa, no período de janeiro de 2009 a dezembro de 2014, e para a aferição da acurácia empírica dos modelos serão realizados testes fora da amostra, comparando os VaR obtidos para o período de janeiro a dezembro de 2014. Foram introduzidas variáveis explicativas na tentativa de aprimorar os modelos e optou-se pelo correspondente americano do Ibovespa, o índice Dow Jones, por ter apresentado propriedades como: alta correlação, causalidade no sentido de Granger, e razão de log-verossimilhança significativa. Uma das inovações do modelo de escala local é não utilizar diretamente a variância, mas sim a sua recíproca, chamada de “precisão” da série, que segue uma espécie de passeio aleatório multiplicativo. O LSM captou todos os fatos estilizados das séries financeiras, e os resultados foram favoráveis a sua utilização, logo, o modelo torna-se uma alternativa de especificação eficiente e parcimoniosa para estimar e prever volatilidade, na medida em que possui apenas um parâmetro a ser estimado, o que representa uma mudança de paradigma em relação aos modelos de heterocedasticidade condicional.

The development of the private equity industry since the 2008 financial crisis

The private equity industry was experiencing a phenomenal boom at the turn of the century but collapsed abruptly in 2008 with the onset of the financial crisis. Considered one of the worst crises since the Great Depression of the 1930s, it had sent ripples around the world threatening the collapse of financial institutions and provoking a liquidity crunch followed by a huge downturn in economic activity and recession. Furthermore, the physiognomy of the financial landscape had considerably altered with banks retracting from the lending space, accompanied by a hardening of financial regulation that sought to better contain systemic risk. Given the new set of changes and challenges that had arisen from this period of financial turmoil, private equity found itself having to question current practices and methods of operation in order to adjust to the harsh realities of a new post-apocalyptic world. Consequently, this paper goes on to explore how the private equity business, management and operation model has evolved since the credit crunch with a specific focus on mature markets such as the United States and Europe. More specifically, this paper will aim to gather insights on the development of the industry since the crisis in Western Europe through a case study approach using as a base interviews with professionals working in the industry and those external to the sector but who have/have had considerable interaction with PE players from 2007 to the present.

Microinsurance: income risk, social security and the demand for private onsurance by low-income families

Insurance provision against uncertainties is present in several dimensions of peoples´s lives, such as the provisions related to, inter alia, unemployment, diseases, accidents, robbery and death. Microinsurance improves the ability of low-income individuals to cope with these risks. Brazil has a fairly developed financial system but still not geared towards the poor, especially in what concerns the insurance industry. The evaluation of the microinsurance effects on well-being, and the demand for different types of microinsurance require an analysis of the dynamics of the individual income process and an assessment of substitutes and complementary institutions that condition their respective financial behavior. The evaluation of the microinsurance effects on well-being, and the demand for different types of microinsurance require an analysis of the dynamics of the individual income process and an assessment of substitutes and complementary institutions that condition their respective financial behavior. The Brazilian government provides a relatively developed social security system considering other countries of similar income level which crowds-out the demand for insurance and savings. On the other hand, this same public infrastructure may help to foster microfinance products supply. The objective of this paper is to analyze the demand for different types of private insurance by the low-income population using microdata from a National Expenditure Survey (POF/IBGE). The final objective is to help to understand the trade-offs faced for the development of an emerging industry of microinsurance in Brazil.

Valuing emerging markets companies : new approaches to determine the effective exposure to country risk

The aim of this paper is to propose new methods to measure the effective exposure to country risk of emerging-market companies. Starting from Damodaran (2003), we propose seven new approaches and a revised CAPM for emerging markets companies. The “Prospective Lambda” represents the effective exposure according to analysts’ estimates of growth. The “Relative Lambda” relies on the firm value estimated through a relative valuation. The “Retrospective Lambda” represents the ex-post effective exposure to country risk. The “Company Effective Risk Premium” is a generalization of the Retrospective Lambda, and expresses the premium effectively requested by investors to invest in that specific company in the past year. “The Actual Lambda” and the “Company Actual Risk Premium” represent, respectively, the actual exposure to country risk of a company and the actual premium requested by investors to invest in that specific company. The “Industry Lambda” reflects the median exposure to country risk of the industry in which the company belongs. We tested our new measures of exposure to country risk on the Latin American emerging markets companies according to the classification of the MSCI Emerging Markets Latin America Index. The results confirm that the new approaches can be effectively applied by financial analysts to stable-growth companies that operate in emerging markets and to mature markets companies that operate in emerging markets, providing with a more reliable estimate of both the premium effectively requested by investors in the past and the actual premium. Applying the new approaches, the cost of equity reflects the effective exposure of a company to country risk without being over- or underestimated, as is the case with other existing approaches.

Asymmetric preferences in investment decisions in the Brazilian financial market

The main objective of this article is to test the hypothesis that utility preferences that incorporate asymmetric reactions between gains and losses generate better results than the classic Von Neumann-Morgenstern utility functions in the Brazilian market. The asymmetric behavior can be computed through the introduction of a disappointment (or loss) aversion coefficient in the classical expected utility function, which increases the impact of losses against gains. The results generated by both traditional and loss aversion utility functions are compared with real data from the Brazilian market regarding stock market participation in the investment portfolio of pension funds and individual investors.

Dynamic D-Vine copula model with applications to Value-at-Risk (VaR)

Regular vine copulas are multivariate dependence models constructed from pair-copulas (bivariate copulas). In this paper, we allow the dependence parameters of the pair-copulas in a D-vine decomposition to be potentially time-varying, following a nonlinear restricted ARMA(1,m) process, in order to obtain a very flexible dependence model for applications to multivariate financial return data. We investigate the dependence among the broad stock market indexes from Germany (DAX), France (CAC 40), Britain (FTSE 100), the United States (S&P 500) and Brazil (IBOVESPA) both in a crisis and in a non-crisis period. We find evidence of stronger dependence among the indexes in bear markets. Surprisingly, though, the dynamic D-vine copula indicates the occurrence of a sharp decrease in dependence between the indexes FTSE and CAC in the beginning of 2011, and also between CAC and DAX during mid-2011 and in the beginning of 2008, suggesting the absence of contagion in these cases. We also evaluate the dynamic D-vine copula with respect to Value-at-Risk (VaR) forecasting accuracy in crisis periods. The dynamic D-vine outperforms the static D-vine in terms of predictive accuracy for our real data sets.

Monopolistic insurance and competitive financial markets

This dissertation studies the interaction between insurance and financial markets. Individuals who differ only in risk can save through a competitive market. They also have access to insurance contracts offered by a monopolist firm. We show that an equilibrium exists in that economy. Fundamentally, we identify an externality imposed on the insurer's decision by the endogeneity of prices in the financial market.We argue that, because of such externality and in contrast to the pure contract theory case, equilibrium may exhibit pooling.