Volatility versus downside risk: performance protection in dynamic portfolio strategies

Fuzzy portfolio optimization under downside risk measures

This paper presents two fuzzy portfolio selection models where the objective is to minimize the downside risk constrained so that a given expected return should be achieved. We assume that the rates of returns on securities are approximated as LR-fuzzy numbers of the same shape, and that the expected return and risk are evaluated by interval-valued means. We establish the relationship between t...

Portfolio selection with limited downside risk

A safety-first investor maximizes expected return subject to a downside risk constraint. w Arzac and Bawa Arzac, E.R., Bawa, V.S., 1977. Portfolio choice and equilibrium in capital x markets with safety-first investors. Journal of Financial Economics 4, 277–288. use the Value at Risk as the downside risk measure. The paper by Gourieroux, Laurent and Scaillet estimates the optimal safety-first p...

Portfolio selection with growth optimization and downside protection

This paper applies growth optimization with downside protection as a portfolio selection technique. The model is based on power-log utility functions that combine portfolio growth maximization with the behavioural tenets of prospect theory. We use three assets (a farm return index, a stock market index, and a Treasury bond index) to illustrate how effective this technique is compared to the sta...

Volatility Forecasting: Downside Risk, Jumps and Leverage Effect

We provide empirical evidence of volatility forecasting in relation to asymmetries present in the dynamics of both return and volatility processes. Using recently-developed methodologies to detect jumps from high frequency price data, we estimate the size of positive and negative jumps and propose a methodology to estimate the size of jumps in the quadratic variation. The leverage effect is sep...

Hedging Downside Risk: Futures versus Options