We discuss various performance measures of beta hedging and offer a new synthetic criterion that accounts for both risk-adjusted return and loss of the trading strategy. We consider two long portfolios hedged by the SPDR S&P 500 ETF (SPY) that mimics the S&P 500 index. The first portfolio...

In this paper we will try to improve on the Modern Portfolio Theory (MPT) as developed by Markowitz (1952). As a first step, we combine the MPT model with generalized momentum (see Keller 2012) in order to arrive at a "tactical" MPT. In our second step, we will use the single index model (Elton,...

Dynamic beta is a program that dynamically allocates to beta assets based on formal rules. It contrasts with standard mean-variance optimization and static risk-parity approaches, which are static. Dynamic beta lowers the overall risk of the fund — where risk includes volatility of returns...

We considered five risk-based strategies: equally-weighted, equal-risk budget, equal-risk contribution, minimum variance and maximum diversification. All five can be well described by exposure to the market-cap index and to four simple factors: low-beta, small-cap, low-residual volatility and...

My paper proposes a robust and easy-to-implement one-pass beta estimator: Justified by the market-model itself, daily stock returns are first winsorized at –2 and +4 times the contemporaneous market return. The resulting “slope- winsorized” betas outpredict all other prominent estimators,...

This paper is focused on enlarging the performance inside a portfolio that provides the Treynor ratio by relating portfolio weights with performance indicators. Intuition suggests that the higher the weight of an asset, the higher should be its expected performance. These weights, and the...

This paper introduces the "compound confluent hypergeometric" (CCH) distribution. The CCH unifies and generalizes three recently introduced generalizations of the beta distribution: the Gauss hypergeometric (GH) distribution of Armero and Bayarri (1994), the generalized beta (GB) distribution of...