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E-raamat: Optimizing Optimization: The Next Generation of Optimization Applications and Theory

(Reader in Financial Econometrics, Trinity College, Cambridge, UK)
  • Formaat: PDF+DRM
  • Sari: Quantitative Finance
  • Ilmumisaeg: 19-Sep-2009
  • Kirjastus: Academic Press Inc
  • Keel: eng
  • ISBN-13: 9780080959207
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  • Formaat: PDF+DRM
  • Sari: Quantitative Finance
  • Ilmumisaeg: 19-Sep-2009
  • Kirjastus: Academic Press Inc
  • Keel: eng
  • ISBN-13: 9780080959207
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Editor Stephen Satchell brings us a book that truly lives up to its title: optimizing optimization by taking the lessons learned about the failures of portfolio optimization from the credit crisis and collecting them into one book, providing a variety of perspectives from the leaders in both industry and academia on how to solve these problems both in theory and in practice. Industry leaders are invited to present chapters that explain how their new breed of optimization software addresses the faults of previous versions. Software vendors present their best of breed optimization software, demonstrating how it addresses the faults of the credit crisis. Cutting-edge academic articles complement the commercial applications to provide a well-rounded insight into the current landscape of portfolio optimization.

Optimization is the holy grail of portfolio management, creating a portfolio in which return is highest in light of the risk the client is willing to take. Portfolio optimization has been done by computer modeling for over a decade, and several leading software companies make a great deal of money by selling optimizers to investment houses and hedge funds. Hedge funds in particular were enamored of heavily computational optimizing software, and many have been burned when this software did not perform as, er, expected during the market meltdown.

The software providers are currently reworking their software to address any shortcomings that became apparent during the meltdown, and are eager for a forum to address their market and have the space to describe in detail how their new breed of software can manage not only the meltdown problems but also perform faster and better than ever before—that is, optimizing the optimizers!!

In addition, there is a strong line of serious well respected research on portfolio optimization coming from the academic side of the finance world. Many different academic approaches have appeared toward optimization: some favor stochastic methods, others numerical methods, others heuristic methods. All focus on the same issues of optimizing performance at risk levels.

This book will provide the forum that the software vendors are looking for to showcase their new breed of software. It will also provide a forum for the academics to showcase their latest research. It will be a must-read book for portfolio managers who need to know whether their current optimization software provider is up to snuff compared to the competition, whether they need to move to a competitor product, whether they need to be more aware of the cutting-edge academic research as well.
  • Presents a unique "confrontation" between software engineers and academics

  • Highlights a global view of common optimization issues
  • Emphasizes the research and market challenges of optimization software while avoiding sales pitches
  • Accentuates real applications, not laboratory results


The practical aspects of optimization rarely receive global, balanced examinations. Stephen Satchell’s nuanced assembly of technical presentations about optimization packages (by their developers) and about current optimization practice and theory (by academic researchers) makes available highly practical solutions to our post-liquidity bubble environment. The commercial chapters emphasize algorithmic elements without becoming sales pitches, and the academic chapters create context and explore development opportunities. Together they offer an incisive perspective that stretches toward new products, new techniques, and new answers in quantitative finance.

  • Presents a unique "confrontation" between software engineers and academics

  • Highlights a global view of common optimization issues

  • Emphasizes the research and market challenges of optimization software while avoiding sales pitches

  • Accentuates real applications, not laboratory results

Muu info

Solutions to portfolio optimization problems by industry and academic leaders
List of Contributors
xi
Section One Practitioners and Products
1(114)
Robust portfolio optimization using second-order cone programming
3(20)
Fiona Kolbert
Laurence Wormald
Executive Summary
3(1)
Introduction
3(1)
Alpha uncertainty
4(2)
Constraints on systematic and specific risk
6(6)
Constraints on risk using more than one model
12(4)
Combining different risk measures
16(2)
Fund of funds
18(4)
Conclusion
22(1)
References
22(1)
Novel approaches to portfolio construction: multiple risk models and multisolution generation
23(30)
Sebastian Ceria
Francois Margot
Anthony Renshaw
Anureet Saxena
Executive Summary
23(1)
Introduction
23(2)
Portfolio construction using multiple risk models
25(10)
Out-of-sample results
33(1)
Discussion and conclusions
34(1)
Multisolution generation
35(16)
Constraint elasticity
39(2)
Intractable metrics
41(10)
Conclusions
51(2)
References
52(1)
Optimal solutions for optimization in practice
53(40)
Daryl Roxburgh
Katja Scherer
Tim Matthews
Executive Summary
53(1)
Introduction
53(2)
BITA Star™
54(1)
BITA Monitor™
54(1)
BITA Curve™
54(1)
BITA Optimizer™
54(1)
Portfolio optimization
55(1)
The need for optimization
55(1)
Applications of portfolio optimization
55(1)
Program trading
55(1)
Long-short portfolio construction
55(1)
Active quant management
56(1)
Asset allocation
56(1)
Index tracking
56(1)
Mean-variance optimization
56(2)
A technical overview
56(1)
The BITA optimizer---functional summary
57(1)
Robust optimization
58(8)
Background
58(1)
Introduction
58(1)
Reformulation of mean-variance optimization
59(2)
BITA Robust applications to controlling FE
61(1)
FE constraints
61(1)
Preliminary results
62(3)
Mean forecast intervals
65(1)
Explicit risk budgeting
65(1)
BITA GLO™ Gain/loss optimization
66(7)
Introduction
66(1)
Omega and GLO
67(1)
Choice of inputs
68(1)
Analysis and comparison
69(1)
Maximum holding = 100%
70(1)
Adding 25% investment constraint
70(1)
Down-trimming of emerging market returns
70(1)
Squared losses
71(1)
Conclusions
72(1)
Combined optimizations
73(5)
Introduction
73(1)
Discussion
74(1)
The model
75(1)
Incorporation of alpha and risk model information
76(2)
Practical applications: charities and endowments
78(8)
Introduction
78(1)
Why endowments matter
78(1)
Managing endowments
79(1)
The specification
80(2)
Trustees' attitude to risk
82(1)
Decision making under uncertainty
83(1)
Practical implications of risk aversion
84(2)
Bespoke optimization---putting theory into practice
86(1)
Request: produce optimal portfolio with exactly 50 long and 50 short holdings
86(1)
Request: how to optimize in the absence of forecast returns
86(1)
Conclusions
87(6)
Appendix A: BITA Robust optimization
88(1)
Appendix B: BITA GLO
89(1)
References
90(3)
The Windham Portfolio Advisor
93(22)
Mark Kritzman
Executive Summary
93(1)
Introduction
93(1)
Multigoal optimization
94(3)
The problem
94(1)
The WPA solution
94(3)
Summary
97(1)
Within-horizon risk measurement
97(4)
The problem
97(1)
The WPA solution
97(4)
Risk regimes
101(3)
The problem
101(1)
The WPA solution
101(3)
Summary
104(1)
Full-scale optimization
104(11)
The problem
104(1)
The WPA solution
104(3)
Summary
107(4)
Appendix---WPA features
111(2)
References
113(2)
Section Two Theory
115(186)
Modeling, estimation, and optimization of equity portfolios with heavy-tailed distributions
117(26)
Almira Biglova
Sergio Ortobelli
Svetlozar Rachev
Frank J. Fabozzi
Executive Summary
117(1)
Introduction
117(2)
Empirical evidence from the Dow Jones Industrial Average components
119(2)
Generation of scenarios consistent with empirical evidence
121(9)
The portfolio dimensionality problem
121(5)
Generation of return scenarios
126(4)
The portfolio selection problem
130(6)
Review of performance ratios
132(2)
An empirical comparison among portfolio strategies
134(2)
Concluding remarks
136(7)
References
140(3)
Staying ahead on downside risk
143(18)
Giuliano De Rossi
Executive Summary
143(1)
Introduction
143(2)
Measuring downside risk: VaR and EVaR
145(5)
Definition and properties
145(2)
Modeling EVaR dynamically
147(3)
The asset allocation problem
150(3)
Empirical illustration
153(5)
Conclusion
158(3)
References
159(2)
Optimization and portfolio selection
161(18)
Hal Forsey
Frank Sortino
Executive Summary
161(1)
Introduction
161(1)
The Forsey-Sortino Optimizer
162(5)
Basic assumptions
162(3)
Optimize or measure performance
165(2)
The DTR optimizer
167(12)
Appendix: Formal definitions and procedures
171(6)
References
177(2)
Computing optimal mean/downside risk frontiers: the role of ellipticity
179(22)
Tony Hall
Stephen E. Satchell
Executive Summary
179(1)
Introduction
179(1)
Main proposition
180(4)
The case of two assets
184(6)
Conic results
190(4)
Simulation methodology
194(4)
Conclusion
198(3)
References
198(3)
Portfolio optimization with ``Threshold Accepting'': a practical guide
201(24)
Manfred Gilli
Enrico Schumann
Executive Summary
201(1)
Introduction
201(3)
Portfolio optimization problems
204(6)
Risk and reward
204(5)
The problem summarized
209(1)
Threshold accepting
210(5)
The algorithm
210(1)
Implementation
211(4)
Stochastics
215(3)
Diagnostics
218(2)
Benchmarking the algorithm
218(1)
Arbitrage opportunities
218(1)
Degenerate objective functions
219(1)
The neighborhood and the thresholds
219(1)
Conclusion
220(5)
Acknowledgment
221(1)
References
221(4)
Some properties of averaging simulated optimization methods
225(22)
John Knight
Stephen E. Satchell
Executive Summary
225(1)
Section 1
225(1)
Section 2
226(3)
Remark 1
229(1)
Section 3: Finite sample properties of estimators of alpha and tracking error
230(5)
Remark 2
235(1)
Remark 3
236(1)
Section 4
236(2)
Section 5: General linear restrictions
238(3)
Section 6
241(3)
Section 7: Conclusion
244(3)
Acknowledgment
244(1)
References
245(2)
Heuristic portfolio optimization: Bayesian updating with the Johnson family of distributions
247(36)
Richard Louth
Executive Summary
247(1)
Introduction
247(1)
A brief history of portfolio optimization
248(3)
The Johnson family
251(6)
Basic properties
251(3)
Density estimation
254(2)
Simulating Johnson random variates
256(1)
The portfolio optimization algorithm
257(4)
The maximization problem
257(3)
The threshold acceptance algorithm
260(1)
Data reweighting
261(1)
Alpha information
262(3)
Empirical application
265(6)
The decay factor, ρ
266(2)
The coefficient of disappointment aversion, A
268(1)
The importance of non-Gaussianity
268(3)
Conclusion
271(1)
Appendix
272(11)
References
278(5)
More than you ever wanted to know about conditional value at risk optimization
283(18)
Bernd Scherer
Executive Summary
283(1)
Introduction: Risk measures and their axiomatic foundations
283(2)
A simple algorithm for CVaR optimization
285(3)
Downside risk measures
288(4)
Do we need downside risk measures?
288(1)
How much momentum investing is in a downside risk measure?
288(2)
Will downside risk measures lead to ``under-diversification''?
290(2)
Scenario generation I: The impact of estimation and approximation error
292(3)
Estimation error
292(1)
Approximation error
293(2)
Scenario generation II: Conditional versus unconditional risk measures
295(1)
Axiomatic difficulties: Who has CVaR preferences anyway?
296(2)
Conclusion
298(3)
Acknowledgment
298(1)
References
298(3)
Index 301
Stephen Satchell is a Fellow of Trinity College, the Reader in Financial Econometrics at the University of Cambridge and Visiting Professor at Birkbeck College, City University Business School and University of Technology, Sydney. He provides consultancy for a range of city institutions in the broad area of quantitative finance. He has published papers in many journals and has a particular interest in risk.