A Note on Optimal Portfolios Under Regime-Switching

A Note on Optimal Portfolios Under Regime-Switching
Author: Markus Haas
Publisher:
Total Pages: 19
Release: 2016
Genre:
ISBN:

This paper extends the stochastic dominance rules for normal mixture distributions derived by Levy and Kaplanski (2015). First, the portfolios under consideration are allowed to follow different regime-switching processes. Second, the results are extended from second- to fourth-order stochastic dominance, which is known to be closely related to kurtosis aversion in financial markets and allows to compare mixture distributions with the same overall variance. In particular, when a risk-free asset is available, checking for fourth-order stochastic dominance turns out to amount to a comparison of the regime-specific and overall Sharpe ratios of the portfolios under consideration.

Multi-period Portfolio Optimization with Investor Views Under Regime Switching

Multi-period Portfolio Optimization with Investor Views Under Regime Switching
Author: Razvan Gabriel Oprisor
Publisher:
Total Pages: 0
Release: 2021
Genre:
ISBN:

We propose a novel multi-period trading model that allows portfolio managers to perform optimal portfolio allocation while incorporating their interpretable investment views. This model's significant advantage is its incorporation of the latest asset return regimes to quantitatively solve managers' question: how certain should one be that a given investment view is occurring? First, we describe a framework for multi-period portfolio allocation formulated as a convex optimization problem that trades off expected return, risk and transaction costs. Second, we use the Black-Litterman model to combine investment views specified in a simple linear combination based format with the market portfolio. A data-driven method to adjust the confidence in the manager's views by comparing them to dynamically updated regime-switching forecasts is proposed. Our contribution is to incorporate both multi-period trading and interpretable investment views into one efficient framework and offer a novel method of using regime-switching to determine each view's confidence.

Optimal Portfolios

Optimal Portfolios
Author: Ralf Korn
Publisher: World Scientific
Total Pages: 352
Release: 1997
Genre: Business & Economics
ISBN: 9812385347

The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc.

Multi-Period Trading Via Convex Optimization

Multi-Period Trading Via Convex Optimization
Author: Stephen Boyd
Publisher:
Total Pages: 92
Release: 2017-07-28
Genre: Mathematics
ISBN: 9781680833287

This monograph collects in one place the basic deļ¬nitions, a careful description of the model, and discussion of how convex optimization can be used in multi-period trading, all in a common notation and framework.