VaR_Delta-Normal fails in two counts: subadditivity and potentially producing losses larger than its portfolio value. This paper solves the second inconsistency developing formulas derived from a put option, named PVaR_Delta-Normal and Put_Expected_Shortfall, PSF_Delta-Normal; the latter also...

Leveraged ETFs provide a convenient mechanism to dynamically change portfolio exposure and can be successfully used to construct robust portfolios that perform well during equity market drops. We start with a classical 60 percent Bonds/ 40 percent Stocks portfolio with monthly rebalancing that...

We discuss performance of some known market anomalies like equal-weighted index, low volatility stock index, factor anomalies of Andrea Frazzini, Ronen Israel and Tobias J. Moskowitz. We suggest the utilization of these anomalies through dynamic risk allocation in portfolios based on these...

VaR_Delta-Normal is derived from a Put option, named PVaR_Delta-Normal and Expected_Shortfall, PSF_Delta-Normal – the latter a coherent measure – guaranteeing VaR can never be larger than the fund value. Current standard VaR_Delta-Normal uses covariances calculated from the entire...

The possibility to minimize volatility of the systematic risk while maximizing returns, is the use of an optimized buy long/sell short strategy that takes into account, that the market model is kinky. The equation of the market model – including a beta plus for increasing markets and a beta...

Leveraged ETFs provide a convenient mechanism to dynamically change portfolio exposure. A classical portfolio insurance strategy of Black-Jones-Perold can be easily implemented with leveraged ETFs. More complex dynamic portfolio strategies that also can be implemented using leveraged ETFs. We...

The approach shows the scientific background of eliminating the market risk of an optimized portfolio and the use of marginal probabilities of ruin for optimized amounts of investments.For this reason the mathematical expectations of the parameters of the market model in the portfolio result to...

This study aims at analyzing the ability of managers of Alternative Risk Premia (ARP) portfolios to outperform benchmarks and to deliver alphas. Using a sample of more than 200 ARP indices, we first distinguish performance between allocation strategy and picking ability. Our first results show...

The least restrictive sufficient condition for expected utility to imply Sharpe ratio rankings is the location and scale (LS) condition (see Meyer, 1987). The LS condition includes the normal and many other (asymmetric and leptokurtic) distributions commonly used in finance. In this paper we...

This paper examines the contribution of closing pressure and predatory trading to the formation of the negative settlement price of NYMEX West Texas Intermediate (WTI) Crude Oil futures on April 20, 2020. We construct a theoretical model and show that the eagerness to close long positions,...