We show that the probability of risk parity beating any other portfolio is more than 50 percent. We also prove that if … portfolio performance is measured by Sharpe ratio, risk parity is the only maximin portfolio when (1) all assets' future Sharpe … assets' future Sharpe ratios is greater than some constant. If portfolio performance is measured by expected return, risk …

-variance optimization framework. The calculated out-of-sample portfolio returns are attractive under different return-risk measures, and … they show positive risk-adjusted …

The risk parity optimization problem produces portfolios where each asset contributes an equal amount to the overall … portfolio risk. While most work has investigated the problem using all assets, minimal work has investigated the cardinality … formulations at producing portfolios with equal risk contributions of chosen cardinality size. Specifically, the convex formulation …

single-stage model with currency options for selective hedging of FX risks, while market risk is addressed only through … risk management. Simultaneous hedging of market and FX risks using stock and currency options yields the best ex …

risk and return constraints that implicitly target all the moments of the hedge fund return distribution. We use the …-based model, offering a closer match to both the return performance and risk characteristics of the hedge fund strategy indices …

diversification in different asset classes across dissimilar markets or imposing risk budgets on individual assets and/or asset … classes or enforcing capital budgets and other investor preferential constraints modeling their risk appetites and allocation … index, in the face of risk budgeting and other investor specific constraints. Adopting Diversification Ratio for its …

Risk parity has been considered a heuristic asset allocation method. In this paper, we show that, to the contrary, risk … parity is a special case of a mean-risk type of a portfolio optimization problem with log-regularization to constrain weights … unconstrained mean-risk portfolio and a risk parity (or risk budgeted in general) portfolio. We also demonstrate in a Bayesian …

attention in recent years. Unlike Principal Component Analysis (PCA) style of methods, balanced baskets spread risk or exposure …

, as a measure of risk, of volatility, Value at Risk and Conditional Value at Risk. This with the aim to take account of … with other robust and non robust models, and with respect to the risk-free portfolio and therefore can have interesting …