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Using the Hamilton-Jacobi-Bellman equation, we derive both a Keynes-Ramsey rule and a closed form solution for an optimal consumption-investment problem with labor income. The utility function is unbounded and uncertainty stems from a Poisson process. Our results can be derived because of the...
Persistent link: https://www.econbiz.de/10013317637
An optimization method is developed for constructing investment portfolios which stochastically dominate a given benchmark for all decreasing absolute risk-averse investors, using Quadratic Programming. The method is applied to standard data sets of historical returns of equity price reversal...
Persistent link: https://www.econbiz.de/10012932280
Dynamic programming is the essential tool in dynamic economic analysis. Problems such as portfolio allocation for …
Persistent link: https://www.econbiz.de/10014025714
uncertainty increases the proportion of wealth invested in equities. The calibration analysis based on detection …
Persistent link: https://www.econbiz.de/10013151564
presents a comprehensive analysis of numerical sensitivities. This investigation not only contributes to a deeper understanding …
Persistent link: https://www.econbiz.de/10014507054
Theoretical concepts together with estimation and optimization methods for portfolio choice based on Stochastic Dominance are reviewed. Distinction is drawn between the concepts of Pairwise Dominance, Admissibility, Optimality, Efficiency and Spanning. Results of selected empirical studies and...
Persistent link: https://www.econbiz.de/10014122671
We propose a novel linear approximation of expected utility. The approximation guides us as we transfer the traditional quadratic dependence of third-order stochastic dominance (TSD) into an equivalent linear system. The finding also shows a dual relationship between traditional low partial...
Persistent link: https://www.econbiz.de/10012911538
While it is common knowledge that portfolio separation in a continuous-time lognormal market is due to the basic properties of the Gaussian distribution, the usual textbook exposition relies on dynamic programming and thus Itô stochastic calculus and the appropriate regularity conditions. This...
Persistent link: https://www.econbiz.de/10009787073
This study develops and implements a theory and method for analyzing whether introducing new securities or relaxing investment constraints improves the investment opportunity set for risk averse investors. We develop a test procedure for ‘stochastic spanning’ for two nested polyhedral...
Persistent link: https://www.econbiz.de/10010512497
We develop and implement a portfolio optimization method for building investment portfolios that dominate a given benchmark index in terms of third-degree stochastic dominance. Our approach relies on the properties of the semi-variance function, a refinement of an existing 'super-convex'...
Persistent link: https://www.econbiz.de/10011439453