Contents 
ListofContributors xi 
Introduction xvii 
1Areviewofportfolioplanning:modelsandsystems1 
GautamMitra 
1.1IntroductionandOverview2 
1.2AlternativeComputationalModels4 
1.3SymmetricandAsymmetricMeasuresofRisk14 
1.4ComputationalModelsinPractice18 
1.5PreparationofData:FinancialDataMarts22 
1.6SolutionMethods25 
1.7ComputationalExperience27 
1.8DiscussionsandConclusions32 
1.9Appendix1:PiecewiseLinearApproximationofthe 
QuadraticForm32 
1.10Appendix2:ComparativeComputationalViews 
oftheAlternativeModels34 
References37 
WebReferences39 
Acknowledgements39 
2Generalizedmean-varianceanalysisandrobustportfolio 
diversi?cation40 
StephenMWrightandSESatchell 
2.1Introduction41 
2.2GeneralizedMean-VarianceAnalysis44 
vi Contents 
2.3TheStatePreferenceTheoryApproachtoPortfolio 
Construction46 
2.4ImplementationandSimulation48 
2.5ConclusionsandSuggestedFurtherWork53 
References54 
3Portfolioconstructionfrommandatetostockweight: 
apractitioner°Osperspective5 
DrJulianCoutts 
3.1Introduction56 
3.2AllocatingTrackingErrorforMultiplePortfolioFunds58 
3.3TrackingErrorsforArbitraryPortfolios64 
3.4ActiveCAPM,orHowFarShouldaBetbeTaken?82 
3.5ImplementingIdeasinRealStockPortfolios89 
3.6Conclusions92 
References94 
4Enhancedindexation95 
AlanScowcroftandJamesSefton 
4.1Introduction96 
4.2ConstructingaConsistentView97 
4.3EnhancedIndexing103 
4.4AnIllustrativeExample:Top-downorBottom-up?106 
4.5Conclusions119 
4.6Appendix1:DerivationoftheTheil(R)CGoldberge 
MixedEstimator120 
4.7Appendix2:Optimization121 
References123 
Notes124 
5Portfoliomanagementundertaxes125 
DandiBartolomeo 
5.1Introduction125 
5.2DoTaxesReallyMattertoInvestorsandManagers?126 
5.3TheCoreProblems127 
5.4TheStateoftheArt128 
5.5TheMulti-PeriodAspect130 
5.6LossHarvesting132 
5.7After-TaxBenchmarks132 
Contents vii 
5.8Conclusions133 
References133 
6Usinggeneticalgorithmstoconstructportfolios135 
DrTWilding 
6.1LimitationsofTraditionalMean-VariancePortfolio 
Optimization135 
6.2SelectingaMethodtoLimittheNumberofSecurities 
intheFinalPortfolio141 
6.3PracticalConstructionofaGeneticAlgorithm-Based 
Optimizer145 
6.4PerformanceofGeneticAlgorithm150 
6.5Conclusions158 
References159 
7Near-uniformlydistributed,stochasticallygeneratedportfolios161 
RichardDawsonandRichardYoung 
N-DimensionalExperimental 
7.1Introduction(R)CATractabl 
Control162 
7.2Applications163 
7.3DynamicConstraints165 
7.4ResultsfromtheDynamicConstraintsAlgorithm173 
7.5ProblemsandLimitationswithDynamicConstraints 
Algorithm174 
7.6ImprovementstotheDistribution175 
7.7ResultsoftheDynamicConstraintswithLocal 
DensityControl180 
7.8Conclusions185 
7.9FurtherWork185 
7.10Appendix1:ReviewofHoldingDistributioninLow 
DimensionswithMinimalConstraints186 
7.11Appendix2:ProbabilityDistributionofHolding 
WeightinMonteCarloPortfoliosinNDimensions 
withMinimalConstraints189 
7.12Appendix3:TheEffectsofSimpleHoldingConstraints 
onExpectedDistributionofAssetHoldingWeights190 
7.13Appendix4:PropertiesofHyper-Solids191 
References192 
Notes192 
viii Contents 
8Modellingdirectionalhedgefunds(R)Cmean,variancean 
correlationwithtrackerfunds193 
EmmanuelAcar 
8.1Introduction193 
8.2MeanandVarianceofDirectionalStrategies194 
8.3CorrelationwithTrackerFund196 
8.4ParametersEstimation198 
8.5OptimalAllocation199 
8.6AnEmpiricalApplicationtotheCurrencyMarkets207 
8.7Conclusions208 
8.8Appendix1:MeanandVarianceofDirectional 
Strategies209 
8.9Appendix2:CorrelationwithTrackerFund210 
8.10Appendix3:OptimalAllocation212 
References213 
Notes214 
Acknowledgements214 
9Integratingmarketandcreditriskin?xedincomeportfolios215 
AllaGilandYuriPolyakov 
9.1Introduction215 
9.2HowtoMeasureMarketandCreditRisk216 
9.3TheWaysofConstructingLossDistributions218 
9.4ComponentsofCreditRisk220 
9.5PortfolioApproach227 
9.6Conclusions232 
9.7Appendix233 
References240 
Notes242 
10Incorporatingskewnessandkurtosisinportfoliooptimization: 
amultidimensionalef?cientset243 
GustavoMdeAthaydeandRenatoGFl?ores,Jr 
10.1Introduction243 
10.2TheAlgebraofMultivariateMoments246 
10.3ThePortfolioFrontier:ExpectedReturn,Skewnessand 
Kurtosis248 
10.4Conclusion256 
References256 
Notes257 
11Balancinggrowthandshortfallprobabilityincontinuoustime 
activeportfoliomanagement258 
SidBrowne 
11.1Introduction258 
11.2SomeBasics259 
11.3ActivePortfolioManagement261 
11.4TradingoffRiskandReturninActivePortfolio 
Management:FractionalObjectives265 
11.5Risk-ConstrainedMinimalTime266 
References268 
12Assessingthemeritsofrank-basedoptimizationfor 
portfolioconstruction269 
SoosungHwang,StephenESatchellandStephenMWright 
12.1Introduction269 
12.2OptimalPortfoliowithRanks270 
12.3EmpiricalTests273 
12.4Conclusions288 
References289 
Notes289 
13Themean-downsideriskportfoliofrontier:anon-parametric 
approach290 
GustavoMdeAthayde 
13.1Introduction290 
13.2TheMean-DSRPortfolioFrontier:TheTraditional 
Approach293 
13.3TheMultivariateCase297 
13.4AKernelApproach299 
13.5TheKernelApproachtotheMultivariateCase303 
13.6TheMean-DSRPortfolioFrontierUsingKernelEstimates305 
13.7AssetPricing306 
13.8Conclusion308 
References308 
14Someexactresultsforef?cientportfolioswithgivenreturns310 
GHHillierandSESatchell 
14.1Introduction310 
14.2PropertiesoftheRiskEstimator313 
14.3PropertiesoftheEstimatedPortfolioWeights317 
14.4TheRisklessAssetCase321 
x Contents 
14.5Conclusions323 323 
14.6Appendix:TheUnconditionalMeanof 
References325 
Notes325 
15Optimalassetallocationforendowments:Alarge 
deviationsapproach326 
MichaelStutzer 
15.1Introduction326 
15.2TheAssetAllocationModel327 
15.3AnIllustrativeExample329 
15.4Conclusions332 
References332 
Notes332 
Acknowledgements332 
16Methodsofrelativeportfoliooptimization333 
NiklasWagner 
16.1Introduction333 
16.2SomeBackgroundonRelativePortfolioOptimization334 
16.3ModelApproachesforRelativePortfolioOptimization335 
16.4DiscussionoftheModels339 
16.5Conclusion340 
References340 
Notes341 
17Predictingportfolioreturnsusingthedistributionsofef?cient 
setportfolios342 
CJAdcock 
17.1Introduction342 and V 344 
17.2Ef?cientSetMathematicsforGiven 
17.3TheEffectofForecasts347 
17.4ModelandProcess348 
17.5DataandEmpiricalResults349 
17.6Conclusions352 352 
17.7Appendix:EffectofEstimationErrorin 
References354 
Notes354 
Acknowledgements355 
Index357  |