The private memory of aggregate shocks

We study constrained efficient aggregate risk sharing and its consequence for the behavior of macro-aggregates in a dynamic Mirrlees’s (1971) setting. Privately observed idiosyncratic productivity shocks are assumed to be independent of i.i.d. publicly observed aggregate shocks. Yet, private allocations display memory with respect to past aggregate shocks, when idosyncratic shocks are also i.i.d.. Under a mild restriction on the nature of optimal allocations the result extends to more persistent idiosyncratic shocks, for all but the limit at which idiosyncratic risk disappears, and the model collapses to a pure heterogeneity repeated Mirrlees economy identical to Werning [2007]. When preferences are iso-elastic we show that an allocation is memoryless only if it displays a strong form of separability with respect to aggregate shocks. Separability characterizes the pure heterogeneity limit as well as the general case with log preferences. With less than full persistence and risk aversion different from unity both memory and non-separability characterize optimal allocations. Exploiting the fact that non-separability is associated with state-varying labor wedges, we apply a business cycle accounting procedure (e.g. Chari et al. [2007]) to the aggregate data generated by the model. We show that, whenever risk aversion is great than one our model produces efficient counter-cyclical labor wedges.

Targeting the poor: a macroeconomic analysis of cash transfer programs

This paper introduces cash transfers targeting the poor in an incomplete markets model with heterogeneous agents facing idiosyncratic risk. These transfers change the degree of insurance in the economy and affect precautionary motives asymmetrically, leading the poorest households to decrease savings proportionally more than their richer counterparts. In a model economy calibrated to Brazil, once the cash transfer program is adopted, wealth inequality and social welfare increase, poverty decreases, while employment and income inequality remain about the same. Imperfect access to financial markets is important for these results, whereas whether the program is funded with lump sum or distortive taxes is not.

Risco idiossincrático e diversificação em portfólios

A teoria tradicional de finanças indica a diversificação como uma maneira de tirar a exposição que um investidor tem ao risco específico das firmas. Ao investidor caberia a tarefa de construir um portfolio composto de N ativos tal que a parcela de risco idiossincrático tenda a zero. Os retornos desta carteira seriam advindos da remuneração pelo risco sistemático, ou de mercado. Estudos têm mostrado que o N necessário para atingir o benefício satisfatório de diversificação tem aumentado ao longo dos anos. O motivo para tal fenômeno seria a presença cada vez mais forte da parcela de risco idiossincrático, verificado empiricamente através de estudos das séries históricas dos retornos. O risco idiossincrático tem estado presente mesmo sem ter havido um crescimento no risco do mercado como um todo. O objetivo deste estudo é discorrer sobre a literatura disponível acerca do assunto, mostrando como a partir da Modern Portfolio Theory o desafio de alcançar a diversificação tem sido cada vez mais complexo, como têm sido feitas as análises da presença o risco idiossincrático e quais motivos levaram isto a acontecer.

Alocação de recursos: nível ótimo de diversificação intraclasse entre fundos de investimentos abertos no Brasil

Apesar da diversidade de suas estratégias, os retornos dos fundos de investimentos multimercado geralmente exibem correlação positiva com índices de bolsa. Por outro lado, fundos de categorias distintas tendem a ser menos correlacionados entre si se comparados a fundos de mesma categoria. A ideia de diversificação entre fundos de baixa correlação é discutida recorrentemente pela literatura. Na prática, porém, poucos alocadores de portfólios otimizam suas carteiras através das linhas de Markowitz (1953) por exemplo. O objetivo deste estudo é buscar identificar o ponto ótimo de diversificação de ativos (fundos de investimentos) dentro de uma mesma categoria. Como metodologia, buscaremos a minimização do risco idiossincrático dos fundos de investimentos através de simulações com outros fundos de mesma categoria. O estudo contém análises para a escolha do número ideal de ativos em um dado portfólio. Esses resultados beneficiariam, principalmente, o processo decisório das empresas de Wealth Managements, das Consultorias de Investimentos e dos Private Bankers.

Asset pricing when risk sharing is limited by default: a theoretical framework

We study the asset pricing implications of an endowment economy when agents can default on contracts that would leave them otherwise worse off. We specialize and extend the environment studied by Kocherlakota (1995) and Kehoe and Levine (1993) to make it comparable to standard studies of asset pricillg. We completely charactize efficient allocations for several special cases. We illtroduce a competitive equilibrium with complete markets alld with elldogellous solvency constraints. These solvellcy constraints are such as to prevent default -at the cost of reduced risk sharing. We show a version of the classical welfare theorems for this equilibrium definition. We characterize the pricing kernel, alld compare it with the one for economies without participation constraints : interest rates are lower and risk premia can be bigger depending on the covariance of the idiosyncratic and aggregate shocks. Quantitative examples show that for reasonable parameter values the relevant marginal rates of substitution fali within the Hansen-Jagannathan bounds.

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.