References
SHOWING 1-10 OF 29 REFERENCES
Robust asymptotic growth in stochastic portfolio theory under long‐only constraints
- Mathematics, EconomicsMathematical Finance
- 2021
We consider the problem of maximizing the asymptotic growth rate of an investor under drift uncertainty in the setting of stochastic portfolio theory (SPT). As in the work of Kardaras and Robertson…
Ergodic robust maximization of asymptotic growth
- Mathematics, EconomicsThe Annals of Applied Probability
- 2021
We consider the problem of robustly maximizing the growth rate of investor wealth in the presence of model uncertainty. Possible models are all those under which the assets' region $E$ and…
Functional Portfolio Optimization in Stochastic Portfolio Theory
- EconomicsSIAM J. Financial Math.
- 2022
In this paper we develop a concrete and fully implementable approach to the optimization of functionally generated portfolios in stochastic portfolio theory. The main idea is to optimize over a…
Relative arbitrage: Sharp time horizons and motion by curvature
- Mathematics, EconomicsMathematical Finance
- 2020
We characterize the minimal time horizon over which any equity market with d≥2 stocks and sufficient intrinsic volatility admits relative arbitrage with respect to the market portfolio. If d∈{2,3} ,…
Open Markets and Hybrid Jacobi Processes
- Economics, Mathematics
- 2021
We propose a unified approach to several problems in Stochastic Portfolio Theory (SPT), which is a framework for equity markets with a large number d of stocks. Our approach combines open markets,…
Polynomial processes in stochastic portfolio theory
- EconomicsStochastic Processes and their Applications
- 2019
Atlas models of equity markets
- Economics
- 2005
Atlas-type models are constant-parameter models of uncorrelated stocks for equity markets with a stable capital distribution, in which the growth rates and variances depend on rank. The simplest such…
The Impact of Proportional Transaction Costs on Systematically Generated Portfolios
- EconomicsSIAM J. Financial Math.
- 2020
The performance of several portfolios in the presence of dividends and transaction costs is examined under different configurations involving the trading frequency, constituent list size, and renewing frequency and a method to smooth transaction Costs is proposed.
HYBRID ATLAS MODELS
- Mathematics
- 2011
We study Atlas-type models of equity markets with local characteristics that depend on both name and rank, and in ways that induce a stable capital distribution. Ergodic properties and rankings of…
Generalised Lyapunov Functions and Functionally Generated Trading Strategies
- MathematicsApplied Mathematical Finance
- 2019
ABSTRACT This paper investigates the dependence of functional portfolio generation, introduced by Fernholz (1999), on an extra finite variation process. The framework of Karatzas and Ruf (2017) is…