Sparse minimax portfolio and Sharpe ratio models

Possibilistic Sharpe Ratio Based Novice Portfolio Selection Models

This paper uses the concept of possibilistic risk aversion to propose a new approach for portfolio selection in fuzzy environment. Using possibility theory, the possibilistic mean, variance, standard deviation and risk premium of a fuzzy number are established. Possibilistic Sharpe ratio is defined as the ratio of possibilistic risk premium and possibilistic standard deviation of a portfolio. T...

Portfolio Benchmarking under Drawdown Constraint and Stochastic Sharpe Ratio

We consider an investor who seeks to maximize her expected utility derived from her terminal wealth relative to the maximum wealth achieved over a fixed time horizon, and under a portfolio drawdown constraint, in a market with local stochastic volatility (LSV). The newly proposed investment objective paradigm also allows the investor to set portfolio benchmark targets. In the absence of closed-...

Nonlinear Trading Models Through Sharpe Ratio Maximization

While many trading strategies are based on price prediction, traders in financial markets are typically interested in optimizing risk-adjusted performance such as the Sharpe Ratio, rather than the price predictions themselves. This paper introduces an approach which generates a nonlinear strategy that explicitly maximizes the Sharpe Ratio. It is expressed as a neural network model whose output ...

Sharpe Ratio Practice Note

The Sharpe Ratio Efficient Frontier

We evaluate the probability that an estimated Sharpe ratio exceeds a given threshold in presence of non-Normal returns. We show that this new uncertainty-adjusted investment skill metric (called Probabilistic Sharpe ratio, or PSR) has a number of important applications: First, it allows us to establish the track record length needed for rejecting the hypothesis that a measured Sharpe ratio is b...