5,736 research outputs found

    Recursive equilibria in an Aiyagari style economy with permanent income shocks

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    In this paper, we prove the existence of a recursive competitive equilibrium (RCE) for an Aiyagari style economy with permanent income shocks and perpetual youth structure. We show that there exist equilibria where borrowing constraints are never binding. This allows us to establish a non-trivial lower bound on the equilibrium interest rate. To solve the individual’s problem, we present a new approach that uses lattices of consumption functions to deal with the non-compact state space and the unbounded utility function. The approach uses only the first order conditions of the problem (Euler equations). The proof is constructive and it serves as a theoretical foundation for the convergence of a policy function iteration procedure.Permanent income shocks; incomplete markets; dynamic general equilibrium; heterogeneous agents

    Retirement Flexibility and Portfolio Choice

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    This paper explores the interaction between retirement flexibility and portfolio choice in an overlapping-generations model. We analyse this interaction both in a partial-equilibrium and general-equilibrium setting. Retirement flexibility is often seen as a hedge against capital-market risks which justifies more risky asset portfolios. We show, however, that this positive relationship between risk taking and retirement fl exibility is weakened - and under some conditions even turned around - if not only capital-market risks but also productivity risks are considered. Productivity risk in combination with a high elasticity of substitution between consumption and leisure creates a positive correlation between asset returns and labour income, reducing the willingness of consumers to bear risk. Moreover, it turns out that general-equilibrium effects can either increase or decrease the equity exposure, depending on the degree of substitutability between consumption and leisure.retirement (in)fl exibility;portfolio allocation;risk;intratemporal substitution elasticity

    Retirement Flexibility and Portfolio Choice

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    This paper explores the interaction between retirement flexibility and portfolio choice in an overlapping-generations model. We analyse this interaction both in a partial-equilibrium and general-equilibrium setting. Retirement flexibility is often seen as a hedge against capital-market risks which justifies more risky asset portfolios. We show, however, that this positive relationship between risk taking and retirement flexibility is weakened� and under some conditions even turned around, if not only capital-market risks but also productivity risks are considered. Productivity risk in combination with a high elasticity of substitution between consumption and leisure creates a positive correlation between asset returns and labour income, reducing the willingness of consumers to bear risk. Moreover, it turns out that general-equilibrium effects can either increase or decrease the equity exposure, depending on the degree of substitutability between consumption and leisure. Key words: retirement (in) flexibility, portfolio allocation, risk, intratemporal substitution elasticity JEL codes: E21, G11, J26 �

    Fricciones crediticias y 'paradas repentinas' en pequeñas economías abiertas: un marco de equilibrio del ciclo económico para crisis en mercados emergentes

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    (Disponible en idioma inglés únicamente) Las fricciones financieras son un elemento central de la mayoría de los modelos que ha propuesto la obra publicada sobre los mercados emergentes para explicar el fenómeno de las paradas repentinas. A la fecha, son pocos los estudios que han procurado analizar las implicaciones cuantitativas de esos modelos e integrarlos a un marco de equilibrio del ciclo económico de las economías emergentes. En este trabajo se analizan esos estudios, considerándoselos variaciones de la capacidad de pago y de la disposición a pagar en un marco que ocasionalmente incorpora limitantes del endeudamiento al modelo del ciclo económico real de economías pequeñas que a veces resultan de obligatorio acatamiento. Una característica que tienen en común los diversos modelos es que los agentes toman en cuenta el riesgo de paradas repentinas futuras en sus planes óptimos, de modo que las asignaciones de equilibrio y los precios se distorsionan incluso cuando las limitantes crediticias no son obligatorias. Las paradas repentinas pertenecen al equilibrio competitivo de precios flexibles y únicos de esos modelos, que ocurren en una región determinada del espacio del Estado en el que sacudidas negativas hacen obligatorias las limitantes al endeudamiento. Los efectos resultantes no lineales implican que resolver los modelos requiere métodos numéricos no lineales, los cuales se describen en el sondeo. Los resultados demuestran que los modelos pueden arrojar paradas repentinas poco frecuentes con efectos negativos de la cuenta corriente y recesiones profundas enmarcadas en ciclos económicos más suaves. Aún así, las investigaciones en este campo se hallan en una etapa incipiente y este estudio procura estimular nuevos trabajos en esta área.

    Optimal Dynamic Taxes

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    We study optimal labor and savings distortions in a lifecycle model with idiosyncratic shocks. We show a tight connection between its recursive formulation and a static Mirrlees model with two goods, which allows us to derive elasticity-based expressions for the dynamic optimal distortions. We derive a generalization of a savings distortion for non-separable preferences and show that, under certain conditions, the labor wedge tends to zero for sufficiently high skills. We estimate skill distributions using individual data on the U.S. taxes and labor incomes. Computed optimal distortions decrease for sufficiently high incomes and increase with age.

    Credit Frictions and 'Sudden Stops' in Small Open Economies: An Equilibrium Business Cycle Framework for Emerging Markets Crises

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    Financial frictions are a central element of most of the models that the literature on emerging markets crises has proposed for explaining the Sudden Stop' phenomenon. To date, few studies have aimed to examine the quantitative implications of these models and to integrate them with an equilibrium business cycle framework for emerging economies. This paper surveys these studies viewing them as ability-to-pay and willingness-to-pay variations of a framework that adds occasionally binding borrowing constraints to the small open economy real-business-cycle model. A common feature of the different models is that agents factor in the risk of future Sudden Stops in their optimal plans, so that equilibrium allocations and prices are distorted even when credit constraints do not bind. Sudden Stops are a property of the unique, flexible-price competitive equilibrium of these models that occurs in a particular region of the state space in which negative shocks make borrowing constraints bind. The resulting nonlinear effects imply that solving the models requires non-linear numerical methods, which are described in the survey. The results show that the models can yield relatively infrequent Sudden Stops with large current account reversals and deep recessions nested within smoother business cycles. Still, research in this area is at an early stage and this survey aims to stimulate further work.

    Age dependent investing: Optimal funding and investment strategies in defined contribution pension plans when members are rational life cycle financial planners

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    A defined contribution pension plan allows consumption to be redistributed from the plan member’s working life to retirement in a manner that is consistent with the member’s personal preferences. The plan’s optimal funding and investment strategies therefore depend on the desired profile of consumption over the lifetime of the member. We investigate these strategies under the assumption that the member is a rational life cycle financial planner and has an Epstein-Zin utility function, which allows a separation between risk aversion and the elasticity of intertemporal substitution. We also take into account the member’s human capital during the accumulation phase of the plan and we allow the annuitisation decision to be endogenously determined during the decumulation phase. We show that the optimal funding strategy involves a contribution rate that is not constant over the life of the plan but is age-dependent and reflects the trade-off between the desire for current versus future consumption, the desire for stable consumption over time, the member’s attitude to risk, and changes in the level of human capital over the life cycle. We also show that the optimal investment strategy during the accumulation phase of the plan is ‘stochastic lifestyling’, with an initial high weight in equity-type investments and a gradual switch into bond-type investments as the retirement date approaches in a way that depends on the realised outcomes for the stochastic processes driving the state variables. The optimal investment strategy during the decumulation phase of the plan is to exchange the bonds held at retirement for life annuities and then to gradually sell the remaining equities and buy more annuities, i.e., a strategy known as ‘phased annuitisation’.Defined Contribution Pension Plan; Funding Strategy; Investment Strategy; Epstein-Zin Utility; Stochastic Lifestyling; Phased Annuitisation; Dynamic Programming

    Optimal Capital Taxation and Consumer Uncertainty

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    This paper analyzes the impact of consumer uncertainty on optimal fiscal policy in a model with capital. The consumers lack confidence about the probability model that characterizes the stochastic environment and so apply a max-min operator to their optimization problem. An altruistic fiscal authority does not face this Knightian uncertainty. It is shown analytically that the government, in responding to consumer uncertainty, no longer sets the expected capital tax rate exactly equal to zero, as is the case in the full-confidence benchmark model. However, our numerical results indicate that the government does not diverge far from this value. Even though the capital income tax rate is close to zero in expectation, consumer uncertainty leads the altruistic government to implement a more volatile capital tax rate across states. In doing so, the government relies more heavily on the capital tax and, consequently, less heavily on the labor income tax to finance the shock to public spending.Robust control, uncertainty, taxes, capital, Ramsey problem
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