The Sharpe Ratio

The Sharpe ratio is the most widely used metric for comparing the

performance of financial assets. The Markowitz portfolio is the portfolio with

the highest Sharpe ratio. The Sharpe Ratio: Statistics and Applications

examines the statistical propertiesof the Sharpe ratio and Markowitz portfolio,

both under the simplifying assumption of Gaussian returns and asymptotically.

Connections are drawn between the financial measures and classical statistics including

Student's t, Hotelling's T^2, and the Hotelling-Lawley trace.

The robustness of these statistics to heteroskedasticity, autocorrelation, fat tails,

and skew of returns are considered. The construction of portfolios to maximize

the Sharpe is expanded from the usual static unconditional model to include

subspace constraints, heding out assets, and the use of conditioning information on

both expected returns and risk. {book title} is the most comprehensive

treatment of the statistical properties of the Sharpe ratio and Markowitz

portfolio ever published.

Features:

* Material on single asset problems, market timing,

unconditional and conditional portfolio problems, hedged portfolios.

* Inference via both Frequentist and Bayesian paradigms.

*A comprehensive treatment of overoptimism and overfitting of trading

strategies.

*Advice on backtesting strategies.

*Dozens of examples and hundreds of exercises for self study.

This book is an essential reference for

the practicing quant strategist and the researcher alike,

and an invaluable textbook for the student.

Steven E. Pav holds a PhD in mathematics from Carnegie Mellon University,

and degrees in mathematics and ceramic engineering science

from Indiana University, Bloomington and Alfred University.

He was formerly a quantitative strategist at Convexus Advisors and Cerebellum

Capital, and a quantitative analyst at Bank of America.

He is the author of a dozen R packages, including those for analyzing the

significance of the Sharpe ratio and Markowitz portfolio.

He writes about the Sharpe ratio at https://protect-us.mimecast.com/s/BUveCPNMYvt0vnwX8Cj689u?domain=sharperat.io .