When is it optimal for a government to default on its legal repayment obligations? We answer this question for a small open economy with domestic production risk in which the government optimally fi…nances itself by issuing non-contingent debt. We show that Ramsey optimal policies occasionally...

Financial markets are incomplete, thus for many households borrowing is possible only by accepting a financial contract that specifies a fixed repayment. However, the future income that will repay this debt is uncertain, so risk can be inefficiently distributed. This paper argues that a monetary...

In this paper we study the transmission of income shocks into nondurable consumption in the presence of durable goods. We use a standard a life-cycle model with two goods to characterize the interaction of durability of goods, durability of shocks, and borrowing constraints as determinants of...

This paper formally compares the fit of various versions of the incomplete markets model with aggregate uncertainty, relying on a simple Bayesian empirical framework. The models differ in the degree of households' heterogeneity, with a focus on the role of preferences. For every specification,...

In this paper we reconsider the pricing of options in incomplete continuous time markets.We first discuss option pricing with idiosyncratic stochastic volatility.This leads, of course, to an averaged Black-Scholes price formula.Our proof of this result uses a new formalization of idiosyncraticy...

This paper generalizes the theory of irreversible investment under uncertainty by allowing for risk averse investors in the absence of com-plete markets.Until now this theory has only been developed in the cases of risk neutrality, or risk aversion in combination with complete markets.Within a...

In this paper, several problem reduction techniques are discussed that can be used to reduce the solution time of set partitioning problems. These techniques can be applied in any solution algorithm for set partitioning problems. Besides a short review of the existing literature on preprocessing...

In this paper we study a hedging problem for European options taking into account the presence of transaction costs. In incomplete markets, i.e. markets without classical restriction, there exists a unique martingale measure. Our approach is based on the Föllmer-Schweizer-Sondermann concept of...

This paper gives an overview of results and developments in the area of pricing and hedging contingent claims in an incomplete market by means of a quadratic criterion. We first present the approach of risk-minimization in the case where the underlying discounted price process X is a local...

This paper provides the proofs to the analysis of a continuous time matching model with saving in Bayer and Wälde (2010a). The paper proves the results on consumption growth, provides an existence proof for optimal consumption and a detailed derivation of the Fokker-Planck equations.