We show an isomorphism between optimal portfolio selection or competitive equilibrium models with utilities incorporating linear habit formation, and corresponding models without habit formation. The isomorphism is expressed through an explicit transformation of consumption plans, utilities,...

This paper develops the utility gradient (or martingale) approach for computing portfolio and consumption plans that maximize stochastic differential utility (SDU), a continuous-time version of recursive utility due to Duffie and Epstein (1992a). The setting is that of a general stochastic...

A change of numeraire argument is used to derive a general option parity, or equivalence, result relating American call and put prices, and to obtain new expressions for futures and forward prices. The general parity result unifies and extends a number of existing results. The new futures and...

Empirical evidence shows that the pricing kernel, or stochastic discount factor (SDF), is not always downward sloping when estimated using Samp;P 500 data. On the other hand, we show that individual stock SDFs are in general downward sloping. We show that a simple jump diffusion returns model...

We show that optimal debt contracts in the presence of product market competition are typically different from standard debt contracts. We consider a market with two incumbents, one levered (target) and one with deep pockets (competitor). Renewal of target's debt depends on its profits, which...

We consider the lifetime consumption-portfolio problem in a competitive securities market with essentially arbitrary continuous price dynamics, and convex trading constraints (e.g., incomplete markets and short-sale constraints). Abstract first-order conditions of optimality are derived, based...

We consider the lifetime consumption-portfolio problem in a competitive securities market with essentially arbitrary continuous price dynamics, a possibly nontradeable income stream, and convex constraints on the vector of market values of financial positions. (The setting extends Schroder and...

We consider the lifetime consumption-portfolio problem in a competitive securities market with essentially arbitrary continuous price dynamics, and convex trading constraints (e.g., incomplete markets and short-sale constraints). Abstract first-order conditions of optimality are derived, based...