Option Pricing and Hedging with Small Transaction Costs

An investor with constant absolute risk aversion trades a risky asset with general It\^o-dynamics, in the presence of small proportional transaction costs. In this setting, we formally derive a leading-order optimal trading policy and the associated welfare, expressed in terms of the local dynamics of the frictionless optimizer. By applying these results in the presence of a random endowment, we obtain asymptotic formulas for utility indifference prices and hedging strategies in the presence of small transaction costs.Comment: 20 pages, to appear in "Mathematical Finance

Optimal housing, consumption, and investment decisions over the life-cycle

We provide explicit solutions to life-cycle utility maximization problems simultaneously involving dynamic decisions on investments in stocks and bonds, consumption of perishable goods, and the rental and the ownership of residential real estate. House prices, stock prices, interest rates, and the labor income of the decision-maker follow correlated stochastic processes. The preferences of the individual are of the Epstein-Zin recursive structure and depend on consumption of both perishable goods and housing services. The explicit consumption and investment strategies are simple and intuitive and are thoroughly discussed and illustrated in the paper. For a calibrated version of the model we find, among other things, that the fairly high correlation between labor income and house prices imply much larger life-cycle variations in the desired exposure to house price risks than in the exposure to the stock and bond markets. We demonstrate that the derived closed-form strategies are still very useful if the housing positions are only reset infrequently and if the investor is restricted from borrowing against future income. Our results suggest that markets for REITs or other financial contracts facilitating the hedging of house price risks will lead to non-negligible but moderate improvements of welfare

Exit strategies

We study alternative scenarios for exiting the post-crisis fiscal and monetary accommodation using the model of Angeloni and Faia (2010), that combines a standard DSGE framework with a fragile banking sector, suitably modified and calibrated for the euro area. Credibly announced and fast fiscal consolidations dominate – based on simple criteria – alternative strategies incorporating various degrees of gradualism and surprise. The fiscal adjustment should be based on spending cuts or else be relatively skewed towards consumption taxes. The phasing out of monetary accommodation should be simultaneous or slightly delayed. We also find that, contrary to widespread belief, Basel III may well have an expansionary macroeconomic effect. Keywords: Exit Strategies , Debt Consolidation , Fiscal Policy , Monetary Policy , Capital Requirements , Bank Runs JEL Classification: G01, E63, H1

A Dynamic Characterization of Efficiency

The definition and measurement of dynamic economic performance has been addressed obliquely in the literature with the notions of scope economies and capacity utilization measures, but little work has focused on develop the static theory analogs of efficiency measures into the dynamic context. This paper is an attempt to identify some of the conceptual and methodological issues to be addressed. A model allowing for dynamic production decisions in the face of inefficiency is presented to illustrate some of the issues and the extensions necessary to identify truly dynamic performance measures.

Dynamic Price Competition with Price Adjustment Costs and Product Differentiation

We study a discrete time dynamic game of price competition with spatially differentiated products and price adjustment costs. We characterise the Markov perfect and the open-loop equilibrium of our game. We find that in the steady state Markov perfect equilibrium, given the presence of adjustment costs, equilibrium prices are always higher than prices at the repeated static Nash solution, even though, adjustment costs are not paid in steady state. This is due to intertemporal strategic complementarity in the strategies of the firms and from the fact that the cost of adjusting prices adds credibility to high price equilibrium strategies. On the other hand, the stationary open-loop equilibrium coincides always with the static solution. Furthermore, in contrast to continuous time games, we show that the stationary Markov perfect equilibrium converges to the static Nash equilibrium when adjustment costs tend to zero. Moreover, we obtain the same convergence result when adjustment costs tend to infinity.Price adjustment costs, Difference game, Markov perfect equilibrium, Open-loop equilibrium

A Dynamic Characterization of Efficiency

The definition and measurement of dynamic economic performance has been addressed obliquely in the literature with the notions of scope economies and capacity utilization measures, but little work has focused on develop the static theory analogs of efficiency measures into the dynamic context. This paper is an attempt to identify some of the conceptual and methodological issues to be addressed. A model allowing for dynamic production decisions in the face of inefficiency is presented to illustrate some of the issues and the extensions necessary to identify truly dynamic performance measures.Agricultural and Food Policy, Production Economics,

International Reserves Management and the Current Account

The paper assesses the costs and benefits of active international reserve management (IRM), shedding light on the question of how intense should IRM be for an emerging market. In principle, an active IRM strategy could lower real exchange rate volatility induced by terms of trade shocks; provide self insurance against sudden stops; reduce the speed of adjustment of the current account; and even allow for higher growth if it fosters exports (“mercantilist” motive). The message of the report is mixed – management of reserves is not a panacea. The mercantilist case for hoarding international reserves, as an ingredient of an export led growth strategy, is dubious. Done properly, IRM augments macro economic management in turbulent times, mitigating the impact of external adverse shocks and allowing for a smoother current account adjustment. These benefits are especially important for commodity exporting countries, and countries with limited financial development.