This encyclopedic, detailed exposition spans all the steps of one-period allocation from the foundations to the most advanced developments. Multivariate estimation methods are analyzed in depth, including non-parametric, maximum-likelihood under non-normal hypotheses, shrinkage, robust, and very general Bayesian techniques. Evaluation methods such as stochastic dominance, expected utility, value at risk and coherent measures are thoroughly discussed in a unified setting and applied in a variety of contexts, including prospect theory, total return and benchmark allocation. Portfolio optimization is presented with emphasis on estimation risk, which is tackled by means of Bayesian, resampling and robust optimization techniques. All the statistical and mathematical tools, such as copulas, location-dispersion ellipsoids, matrix-variate distributions, cone programming, are introduced from the basics. Comprehension is supported by a On this site the reader will find freely downloadable complementary materials: a set of thoroughly documented MATLAB applications; the Technical Appendices with all the proofs; the Slides, the whole book in presentation format. More materials and complete reviews can also be found on this site. All the proceeds from the author's royalties will be donated to charity. Any feedback on the book, the online material and the charity policy is greatly appreciated.
CHAPTERS
Ch 1/2: Uni- and multi-variate statistics, see here
Ch 3: Quest for Invariance, see here
Ch 3: Projection of invariants to investment horizon, see here
Ch 3: Pricing of individual securities, see here
Ch 3: Linear factor models (PCA, time series,…), see here
Ch 3: Swaps modeling using Principal Component Analysis, see here
Ch 4: Multivariate estimation (non-parametric, MLE, shrinkage, robust,…), see here
Ch 5: Risk evaluation (stochastic dominance, expected utility, VaR, CVaR, spectral measures,…), see here
Ch 6: Portfolio optimization (mean-variance, cone programming, benchmark allocation,…), see here
Ch 7: Bayesian estimation, see here
Ch 8: Estimation risk evaluation, see here
Ch 9: Estimation risk and allocation optimization (Bayes, Black-Litterman, robust,…), see here
App A: Linear Algebra, see here
App B: Functional Analysis, see here
TECHNICAL PROOFS
Tedious proofs and technical results, see here
APPLICATIONS
MATLAB code for advanced risk and portfolio management, see here
EXERCISES
Challenges, pitfalls and step-by-step solutions with MATLAB code, see here
ERRATA
A few typos, see here
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