This paper shows that a stock market is evolutionary stable if andonly if stocks are evaluated by expected relative dividends. Any othermarket can be invaded by portfolio rules that will gain market wealthand hence change the valuation. In the model the valuation of assetsis given by the wealth...

In the standard real options approach to investment under uncertainty, agents formulate optimal policies under the assumptions of risk neutrality or perfect capital markets. However in most situations, corporate executives face incomplete markets either because they receive compensation packages...

We study the dynamic utility indifference value process p(X) when the usefulness of X is evaluated via a dynamic monetary concave utility functional (DMCUF) instead of von Neumann/Morgenstern expected utility. A DMCUF is minus a dynamic convex risk measure. The key tools for our investigations...

In this paper we analyze the long-run dynamics of the market selection process among simple trading strategies in an incomplete asset market with endogenous prices. We identify a unique surviving financial trading strategy. Investors following this strategy asymptotically gather total market...

We apply perturbation theory to solve the optimal control problem of an investor with time-additive power utility over intermediate consumption and final wealth. Under general conditions we show existence of a power series representation for the prevailing optimal consumption and investment...

We apply perturbation methods to solve in closed form a class of robust control problems, implied by Anderson, Hansen and Sargent setting of a preference for robustness. In the constant investment opportunity set case, we obtain closed form power series solutions for the arising robust Bellman...

There is an extensive literature claiming that it is often difficultto make use of arbitrage opportunities in financial markets. Thispaper provides a new reason why existing arbitrage opportunitiesmight not be seized. We consider a world with short-lived securities,no short-selling constraints...

The pricing kernel puzzle is the observation that the pricing kernelmight be increasing in some range of the market returns. This paperanalyzes the pricing kernel in a nancial market equilibrium. If mar-kets are complete and investors are risk-averse and have common andtrue beliefs, the pricing...

We solve analytically the Merton's problem of an investor with time-additive power utility. For general state dynamics, we prove existence of two power series representations of the relevant optimal policies and value functions, which hold for all admissible risk aversion parameters. We...

We prove that for any incomplete market and any concave utilityfunction the marginal propensities to consume and to save are alwayspositive. Furthermore, we introduce a class of incomplete markets thatincludes almost all well known examples of market incompleteness infinance and macroeconomics....