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The Optimal Consumption of a Depletable Natural Resource: An Elaboration, Correction and Extension
Natural Resource Elaboration
2015/9/18
Weinstein and Zeckhauser^ have shown that the competitive rate
of extraction of a resource of known extent is socially optimal and the
monopolistic rate of extraction generally suhoptimal, hut that ...
Optimal consumption and investment for markets with randoms coefficients
Black-Scholes market Stochastic volatility Optimal consumption and Investment Hamilton-Jacobi-Bellman equation Banach fixed point theorem Feynman - Kac formula.
2011/3/23
We consider an optimal consumption - investment problem for financial markets of Black-Scholes's type with the random coefficients. The existence and uniqueness theorem for the Hamilton-Jacobi-Bellman...
Optimal consumption and investment in incomplete markets with general constraints
Optimal consumption investment incomplete markets
2010/10/22
We study an optimal consumption and investment problem in a possibly incomplete market with general, not necessarily convex, stochastic constraints. We give explicit solutions for investors with expo...
Illiquidity Effects in Optimal Consumption-Investment Problems
Illiquidity Effects Optimal Consumption-Investment
2010/10/19
We study the effect of liquidity freezes on an economic agent optimizing her utility of consumption in a perturbed Black-Scholes-Merton model. The single risky asset follows a geometric Brownian motio...
Illiquidity Effects in Optimal Consumption-Investment Problems
Illiquidity Effects Optimal Consumption-Investment
2010/4/28
We study the effect of liquidity freezes on an economic agent optimizing her utility of consumption in a perturbed Black-Scholes-Merton model. The single risky asset follows a geometric Brownian motio...
Optimal consumption and investment with bounded downside risk measures for logarithmic utility functions
Optimal consumption investment bounded downside risk measures logarithmic utility functions
2010/10/18
We investigate optimal consumption problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall for logarithmic utility functions. We find the solutions in t...
The Opportunity Process for Optimal Consumption and Investment with Power Utility
consumption semimartingale dynamic programming con-vex duality
2010/11/3
We study the utility maximization problem for power utility ran-dom fields in a semimartingale financial market, with and without intermediate consumption. The notion of an opportunity process is intr...