Practical financial optimization decision making for financial engineers

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1. Verfasser: Zenios, Stauros Andrea 1959- (VerfasserIn)
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Veröffentlicht: Cambridge [u.a.] Blackwell 2007
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adam_text PRACTICAL FINANCIAL OPTIMIZATION DECISION MAKING FOR FINANCIAL ENGINEERS STAVROS A. ZENIOS UNIVERSITY OF CYPRUS, AND THE WHARTON FINANCIAL INSTITUTIONS CENTER BLACKWELL CAMBRIDGE 2008 AGI-INFORMATION MANAGEMENT CONSULTANTS MAY BE USED FOR PERSONAL PURPORSES ONLY OR BY LIBRARIES ASSOCIATED TO DANDELON.COM NETWORK. CONTENTS FOREWORD, BY HARRY M. MARKOWITZ XV PREFACE * XVII ACKNOWLEDGMENTS XXI TEXT CREDITS XXIII NOTATION XXV LIST OF MODELS XXIX I INTRODUCTION 1 1 AN OPTIMIZATION VIEW OF FINANCIAL ENGINEERING 3 1.1 PREVIEW 3 1.2 OPTIMIZATION IN FINANCIAL ENGINEERING 3 1.3 ENTERPRISE-WIDE RISK MANAGEMENT 7 1.3.1 WHAT IS ENTERPRISE-WIDE RISK MANAGEMENT? 7 1.3.2 ENTERPRISE-WIDE RISK MANAGEMENT FOR A SINGLE BUSINESS 10 1.3.3 ENTERPRISE-WIDE RISK MANAGEMENT FOR A BUSINESS PORTFOLIO 12 1.3.4 INTEGRATING DESIGN, PRICING, FUNDING, AND CAPITALIZATION 12 1.3.5 COMPONENTS OF ENTERPRISE-WIDE RISK MANAGEMENT 13 1.3.6 WHY ENTERPRISE-WIDE RISK MANAGEMENT IS IMPORTANT 17 1.3.7 ASSET AND LIABILITY MANAGEMENT 18 1.4 THE SCOPE FOR OPTIMIZATION IN ENTERPRISE-WIDE RISK MANAGEMENT 20 1.4.1 CAVEAT: WHAT TO OPTIMIZE? 21 1.5 OVERVIEW OF FINANCIAL OPTIMIZATION MODELS 22 1.5.1 BASICS OF RISK MANAGEMENT 22 1.5.2 MEAN-VARIANCE PORTFOLIO OPTIMIZATION 22 1.5.3 PORTFOLIO MODELS FOR FIXED INCOME 23 1.5.4 SCENARIO OPTIMIZATION 24 1.5.5 DYNAMIC PORTFOLIO OPTIMIZATION 25 1.5.6 INDEX FUNDS 25 1.5.7 DESIGNING FINANCIAL PRODUCTS 26 1.5.8 SCENARIO GENERATION 26 1.5.9 APPLICATIONS 27 1.6 POSTVIEW 27 NOTES AND REFERENCES 27 2 BASICS OF RISK MANAGEMENT 31 2.1 PREVIEW 31 2.2 A CLASSIFICATION OF FINANCIAL RISKS 31 2.3 RISK MEASUREMENT FOR EQUITIES 37 VIII CONTENTS 2.4 RISK MEASUREMENT FOR FIXED-INCOME SECURITIES 44 2.4.1 DURATION AND CONVEXITY 46 2.4.2 FACTOR ANALYSIS OF THE TERM STRUCTURE 49 2.4.3 OPTION ADJUSTED ANALYSIS 53 2.5 SCENARIO ANALYSIS FOR FIXED-INCOME SECURITIES 56 2.6 ENTERPRISE-WIDE RISK MEASUREMENT 58 2.7 COHERENT RISK MEASUREMENT 61 2.8 MEASUREMENT OF REWARD AND PERFORMANCE EVALUATION 63 2.8.1 INVESTOR CHOICE 64 2.8.2 PERFORMANCE EVALUATION 66 2.9 CLASSIFICATION OF RISK MANAGEMENT MODELS 66 2.10 POSTVIEW 68 NOTES AND REFERENCES 69 II PORTFOLIO OPTIMIZATION MODELS 71 3 MEAN-VARIANCE ANALYSIS 73 3.1 PREVIEW 73 3.2 MEAN-VARIANCE OPTIMIZATION 73 3.2.1 CANONICAL FORMULATION 74 3.2.2 GENERAL FORMULATIONS 78 3.2.3 TRADING SIZES AND TRANSACTION COSTS 80 3.2.4 PORTFOLIO REVISION 82 3.3 INCORPORATING LIABILITIES 84 3.4 FACTOR MODELS OF RETURN 85 3.4.1 SINGLE-FACTOR MODEL 85 3.4.2 MULTI-FACTOR MODEL 88 3.5 ARE OPTIMIZED PORTFOLIOS OPTIMAL? 91 3.6 POSTVIEW 92 NOTES AND REFERENCES 93 4 PORTFOLIO MODELS FOR FIXED INCOME 95 4.1 PREVIEW . 95 4.2 PORTFOLIO DEDICATION 95 4.2.1 CASHFLOW MATCHING WITH PERFECT FORESIGHT 96 4.2.2 CASHFLOW MATCHING WITH BORROWING AND REINVESTMENT 98 4.2.3 HORIZON RETURNS 99 4.2.4 LOT SIZES, TRANSACTION COSTS, AND PORTFOLIO REVISION 99 4.2.5 DIVERSIFICATION 100 4.2.6 BOOTSTRAPPING THE YIELD OF DEDICATED PORTFOLIOS 101 4.3 PORTFOLIO IMMUNIZATION 101 4.4 FACTOR IMMUNIZATION 104 4.5 FACTOR IMMUNIZATION FOR CORPORATE BONDS 106 4.5.1 FACTOR ANALYSIS OF CORPORATE YIELDS 107 4.5.2 FACTOR IMMUNIZATION WITH UNCORRELATED CREDIT RATINGS 109 4.5.3 FACTOR IMMUNIZATION WITH CORRELATED CREDIT RATINGS 112 4.6 POSTVIEW 113 NOTES AND REFERENCES 113 CONTENTS IX 5 SCENARIO OPTIMIZATION 115 5.1 PREVIEW 115 5.2 BASICS OF SCENARIO OPTIMIZATION 115 5.3 MEAN ABSOLUTE DEVIATION MODELS 116 5.3.1 SEMI-ABSOLUTE DEVIATION 119 5.3.2 EQUIVALENCE OF ABSOLUTE DEVIATION MEASURES 120 5.3.3 TRACKING MODEL 121 5.4 REGRET MODELS 122 5.4.1 E-REGRET MODELS 123 5.5 CONDITIONAL VALUE-AT-RISK MODELS 125 5.6 EXPECTED UTILITY MAXIMIZATION 127 5.7 PUT/CALL EFFICIENT FRONTIERS 129 5.7.1 PUT/CALL EFFICIENT FRONTIERS WITHOUT CONSTRAINTS 130 5.7.2 PUT/CALL EFFICIENT FRONTIERS WITH FINITE LIQUIDITY 133 5.8 ASSET VALUATION USING SCENARIO OPTIMIZATION 136 5.8.1 OPTIMIZATION MODELS OF ARBITRAGE 136 5.8.2 VALUATION IN COMPLETE MARKETS 138 5.8.3 VALUATION IN DYNAMICALLY COMPLETE MARKETS 139 5.8.4 VALUATION IN INCOMPLETE MARKETS 140 5.8.5 UTILITY INVARIANT PRICING 142 5.9 POSTVIEW 144 NOTES AND REFERENCES 145 6 DYNAMIC PORTFOLIO OPTIMIZATION WITN STOCHASTIC PROGRAMMING 147 6.1 PREVIEW 147 6.2 SETTING THE STAGE FOR DYNAMIC MODELS 147 6.2.1 NOTATION FOR DYNAMIC MODELS 151 6.3 DECISION RULES FOR DYNAMIC PORTFOLIO STRATEGIES 152 6.3.1 BUY-AND-HOLD STRATEGY 152 6.3.2 CONSTANT MIX STRATEGY . 152 6.3.3 CONSTANT PROPORTION STRATEGY 154 6.3.4 OPTION-BASED PORTFOLIO INSURANCE 154 6.4 STOCHASTIC DEDICATION 155 6.5 BASIC CONCEPTS OF STOCHASTIC PROGRAMMING 157 6.5.1 THE NEWSVENDOR PROBLEM 158 6.5.2 CANONICAL STOCHASTIC PROGRAMMING PROBLEMS 159 6.5.3 ANTICIPATIVE MODELS 160 6.5.4 ADAPTIVE MODELS 160 6.5.5 RECOURSE MODELS 161 6.5.6 DETERMINISTIC EQUIVALENT FORMULATION 162 6.5.7 SPLIT VARIABLE FORMULATION 163 6.5.8 MULTI-STAGE MODELS 164 6.6 STOCHASTIC PROGRAMMING FOR DYNAMIC PORTFOLIO STRATEGIES 165 6.6.1 MODEL FORMULATION 167 6.7 COMPARISON OF STOCHASTIC PROGRAMMING WITH OTHER METHODS 172 6.7.1 MEAN-VARIANCE MODELS AND DOWNSIDE RISK 172 6.7.2 DISCRETE-TIME, MULTI-PERIOD MODELS 172 6.7.3 CONTINUOUS-TIME MODELS 173 6.7.4 STOCHASTIC PROGRAMMING 174 6.8 POSTVIEW 174 NOTES AND REFERENCES 175 CONTENTS INDEX FUNDS 177 7.1 PREVIEW 177 7.2 BASICS OF MARKET INDICES 177 7.3 INDEXATION MODELS 180 7.3.1 A STRUCTURAL MODEL FOR INDEX FUNDS 181 7.3.2 A MODEL FOR INDEX FUNDS BASED ON CO-MOVEMENTS 181 7.4 MODELS FOR INTERNATIONAL INDEX FUNDS 183 7.4.1 CREATING A GLOBAL INDEX 183 7.4.2 INTEGRATED INDEXATION MODELS 184 7.4.3 NONINTEGRATED MODELS 185 7.4.4 OPERATIONAL MODEL 186 7.5 MODELS FOR CORPORATE BOND INDEX FUNDS 188 7.6 STOCHASTIC PROGRAMMING FOR INDEX FUNDS 189 7.6.1 NOTATION 189 7.6.2 MODEL FORMULATION 191 7.7 APPLICATIONS OF INDEXATION MODELS 193 7.7.1 TRACKING AN INTERNATIONAL GOVERNMENT BOND INDEX 194 7.7.2 TRACKING A CORPORATE BOND INDEX 197 7.7.3 ENHANCED INDEX FUNDS 198 7.7.4 STOCHASTIC PROGRAMMING MODELS FOR INDEX TRACKING 199 7.8 POSTVIEW 202 NOTES AND REFERENCES 204 DESIGNING FINANCIAL PRODUCTS 205 8.1 PREVIEW * .... 205 8.2 FINANCIAL INNOVATION 205 8.3 FINANCIAL PRODUCT NOVELTIES 206 8.3.1 GUARANTEED INVESTMENT CONTRACTS 206 8.3.2 CALLABLE BONDS 207 8.3.3 SINGLE PREMIUM DEFERRED ANNUITIES 208 8.3.4 ASSET-BACKED SECURITIES 210 8.3.5 MORTGAGE-BACKED AND DERIVATIVE SECURITIES 211 8.4 A FRAMEWORK FOR FINANCIAL PRODUCT DESIGN 215 8.4.1 RISK AVERSION AND CERTAINTY EQUIVALENT RETURN . 216 8.4.2 MODEL FORMULATION 217 8.5 OPTIMAL DESIGN OF CALLABLE BONDS . . . 220 8.6 POSTVIEW C. . 222 NOTES AND REFERENCES 222 SCENARIO GENERATION 225 9.1 PREVIEW 225 9.2 SCENARIOS AND THEIR PROPERTIES 225 9.2.1 SCENARIO DEFINITION 226 9.2.2 SCENARIO PROPERTIES 227 9.3 A FRAMEWORK FOR SCENARIO GENERATION 228 9.3.1 SCENARIOS FOR THE LIABILITIES . 231 9.3.2 SCENARIOS OF ECONOMIC FACTORS AND ASSET RETURNS 232 9.4 SCENARIO GENERATION METHODOLOGIES 233 9.4.1 BOOTSTRAPPING HISTORICAL DATA 234 9.4.2 STATISTICAL MODELING: THE VALUE-AT-RISK APPROACH 234 9.4.3 STATISTICAL MODELING: TIME SERIES ANALYSIS 236 CONTENTS XI 9.4.4 DISCRETE LATTICE APPROXIMATIONS OF CONTINUOUS MODELS 239 9.5 CONSTRUCTING EVENT TREES 242 9.5.1 SAMPLING AND TREE FITTING 242 9.5.2 ARBITRAGE-FREE EVENT TREES 244 9.6 POSTVIEW 247 NOTES AND REFERENCES 247 III APPLICATIONS 251 10 INTERNATIONAL ASSET ALLOCATION 253 10.1 PREVIEW 253 10.2 THE RISKS OF INTERNATIONAL ASSET PORTFOLIOS 253 10.3 HEDGING STRATEGIES ., 254 10.4 STATISTICAL CHARACTERISTICS OF INTERNATIONAL DATA 255 10.5 MODEL FOR SELECTIVE HEDGING 256 10.6 ASSET ALLOCATION 258 10.6.1 ASSET ALLOCATION IN TREASURIES 259 10.6.2 ASSET ALLOCATION IN EQUITIES 260 10.6.3 ASSET ALLOCATION IN TREASURIES AND EQUITIES 260 10.7 RISK MEASURE FOR INTERNATIONAL ASSET ALLOCATION 261 10.8 POSTVIEW *.. -. 264 NOTES AND REFERENCES 265 11 CORPORATE BOND PORTFOLIOS 267 11.1 PREVIEW 267 11.2 CREDIT RISK SECURITIES 267 11.3 INTEGRATING MARKET AND CREDIT RISK 268 11.3.1 SCENARIO GENERATION FOR CORPORATE BONDS 270 11.3.2 THE SIMULATION FRAMEWORK 270 11.4 OPTIMIZING THE RIGHT RISK METRIC 275 11.4.1 TAIL EFFECTS ON EFFICIENT FRONTIERS 275 11.4.2 CONDITIONAL VALUE-AT-RISK EFFICIENT FRONTIERS 277 11.5 INDEX FUNDS FOR CORPORATE BOND PORTFOLIOS 282 11.5.1 INDEXATION BY STRATEGIC ASSET-ALLOCATION 282 11.5.2 TACTICAL BOND PICKING MODEL 283 11.6 TRACKING THE MERRILL LYNCH EURO DOLLAR CORPORATE BOND INDEX 284 11.6.1 SENSITIVITY TO ALTERNATIVE RISK FACTORS 285 11.6.2 SENSITIVITY TO MODEL CHOICES 288 11.7 FUNDING LIABILITIES WITH CORPORATE BONDS 291 11.8 POSTVIEW 292 NOTES AND REFERENCES 294 12 INSURANCE POLICIES WITH GUARANTEES 297 12.1 PREVIEW 297 12.2 PARTICIPATING POLICIES WITH GUARANTEES 297 12.3 THE ITALIAN INSURANCE INDUSTRY 299 12.3.1 GUARANTEED PRODUCTS WITH BONUS PROVISIONS 300 12.3.2 CURRENT ASSET AND LIABILITY MANAGEMENT PRACTICES 301 12.4 THE SCENARIO OPTIMIZATION MODEL 302 12.4.1 FEATURES OF THE MODEL 302 XII CONTENTS 12.4.2 NOTATION 302 12.4.3 VARIABLE DYNAMICS AND CONSTRAINTS 303 12.4.4 LINEARLY CONSTRAINED OPTIMIZATION MODEL 305 12.4.5 SURRENDER OPTION 308 12.4.6 MODEL EXTENSIONS 309 12.4.7 REVERSIONARY AND TERMINAL BONUSES 310 12.5 MODEL TESTING AND VALIDATION 311 12.5.1 INTEGRATIVE ASSET AND LIABILITY MANAGEMENT 312 12.5.2 ANALYSIS OF THE TRADE-OFFS 314 12.5.3 ANALYSIS OF ALTERNATIVE DEBT STRUCTURES 316 12.5.4 THE VIEW FROM THE REGULATOR S DESK 320 12.5.5 ADDITIONAL MODEL FEATURES 321 12.5.6 BENCHMARKS OF ITALIAN INSURANCE POLICIES 324 12.5.7 COMPARING ITALIAN WITH UK POLICIES 326 12.6 POSTVIEW 329 NOTES AND REFERENCES 330 13 PERSONAL FINANCIAL PLANNING 333 13.1 PREVIEW 333 13.2 THE DEMAND FOR PERSONAL FINANCIAL PLANNING 333 13.3 THE PROVISION OF FINANCIAL SERVICES 334 13.4 WEB-BASED PERSONAL FINANCIAL TOOLS 337 13.4.1 STRATEGIC DECISIONS: THE PERSONAL ASSET ALLOCATION TOAL 338 13.4.2 TACTICAL DECISIONS: THE PERSONAL RATING TOOL 338 13.4.3 CONTROL: THE PERSONAL RISK ANALYSIS TOOL 339 13.5 MODEL FOR PERSONAL FINANCIAL PLANNING 339 13.5.1 SOLVING THE LINEAR DYNAMIC EQUATIONS 341 13.5.2 ANALYSIS OF THE MODEL 342 13.6 MODEL VALIDATION AND TESTING 343 13.6.1 PROBABILITY OF SUCCESS AND HOW TO IMPROVE IT 347 13.6.2 AN APPARATUS TO EXPLAIN THE EQUITY PREMIUM PUZZLE 348 13.7 THE INTEGRATED DECISION SUPPORT SYSTEM 351 13.7.1 THE CASE OF THE ROSSI FAMILY 351 13.8 POSTVIEW 356 NOTES AND REFERENCES 356 IV LIBRARY OF FINANCIAL OPTIMIZATION MODELS 357 14 FINLIB: A LIBRARY OF FINANCIAL OPTIMIZATION MODELS 359 14.1 PREVIEW 359 14.2 FINLIB: FINANCIAL OPTIMIZATION LIBRARY -359 14.3 STUDIO DESIGNS: PROJECT SUGGESTIONS 360 14.3.1 BASICS OF MODELING 361 14.3.2 MEAN-VARIANCE ANALYSIS 361 14.3.3 PORTFOLIO MODELS FOR FIXED INCOME 361 14.3.4 SCENARIO OPTIMIZATION 361 14.3.5 DYNAMIC PORTFOLIO OPTIMIZATION 362 14.3.6 INDEX FUNDS 362 14.3.7 DESIGNING FINANCIAL PRODUCTS 362 14.3.8 SCENARIO GENERATION 363 CONTENTS XIII 14.3.9 APPLICATIONS 363 NOTES AND REFERENCES 363 A BASICS OF OPTIMIZATION 365 A.I DUALITY 365 A.2 OPTIMALITY CONDITIONS 366 A.3 LAGRANGE MULTIPLIERS 367 B BASICS OF PROBABILITY THEORY 369 B.I PROBABILITY SPACES 369 C STOCHASTIC PROCESSES 371 C.I THE POISSON PROCESS 372 C.2 THE GAUSSIAN PROCESS 372 C.3 THE WIENER PROCESS 373 C.4 MARKOV CHAINS 373 BIBLIOGRAPHY 375 INDEX 393
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spellingShingle Zenios, Stauros Andrea 1959-
Practical financial optimization decision making for financial engineers
Mathematisches Modell
Finance Mathematical models
Mathematical optimization
Financial Engineering (DE-588)4208404-0 gnd
Optimierung (DE-588)4043664-0 gnd
subject_GND (DE-588)4208404-0
(DE-588)4043664-0
title Practical financial optimization decision making for financial engineers
title_auth Practical financial optimization decision making for financial engineers
title_exact_search Practical financial optimization decision making for financial engineers
title_full Practical financial optimization decision making for financial engineers Stavros A. Zenios
title_fullStr Practical financial optimization decision making for financial engineers Stavros A. Zenios
title_full_unstemmed Practical financial optimization decision making for financial engineers Stavros A. Zenios
title_short Practical financial optimization
title_sort practical financial optimization decision making for financial engineers
title_sub decision making for financial engineers
topic Mathematisches Modell
Finance Mathematical models
Mathematical optimization
Financial Engineering (DE-588)4208404-0 gnd
Optimierung (DE-588)4043664-0 gnd
topic_facet Mathematisches Modell
Finance Mathematical models
Mathematical optimization
Financial Engineering
Optimierung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018945614&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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