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Financial networks: statics and dynamics ; with 10 tables

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Bibliographic Details
Main Authors:	Nagurney, Anna (Author), Siokos, Stavros (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 1997
Series:	Advances in spatial science
Subjects:	Mathematisches Modell Finance > Mathematical models Netzwerkmodell Kapitalmarkt Netzwerkanalyse Kapitalmarkttheorie
Online Access:	Inhaltsverzeichnis
Physical Description:	XV, 491 S. graph. Darst.
ISBN:	354063116X

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adam_text	ANNA NAGURNEY * STAVROS SIOKOS FINANCIAL NETWORKS STATICS AND DYNAMICS WITH 58 FIGURES AND 10 TABLES SPRINGER CONTENTS PREFACE VII BACKGROUND 1 INTRODUCTION AND OVERVIEW 3 1.1 SOURCES AND NOTES 11 FOUNDATIONS OF FINANCIAL ECONOMICS 15 2.1 HISTORIC OVERVIEW . . . 16 2.2 UTILITY THEORY AND RISK AVERSION 24 2.3 MARKET EQUILIBRIUM 30 2.4 INTERNATIONAL FINANCIAL ECONOMICS 34 2.5 SOURCES AND NOTES 39 II METHODOLOGICAL FOUNDATIONS 47 3 VARIATIONAL INEQUALITIES 49 3.1 THE VARIATIONAL INEQUALITY PROBLEM 50 3.2 QUALITATIVE PROPERTIES 59 3.3 ALGORITHMS 64 3.3.1 PROJECTION METHODS 66 3.3.2 BASIC DECOMPOSITION ALGORITHMS 67 3.4 SOURCES AND NOTES 70 4 PROJECTED DYNAMICAL SYSTEMS 74 4.1 A PROJECTED DYNAMICAL SYSTEM 75 4.2 STABILITY ANALYSIS , 82 4.3 ALGORITHMS 85 4.4 SOURCES AND NOTES 89 XII CONTENTS 5 NONLINEAR NETWORKS 92 5.1 NETWORK OPTIMIZATION PROBLEMS 93 5.1.1 SPECIAL OBJECTIVE FUNCTIONS 97 5.1.2 SPECIAL NETWORK TOPOLOGY 98 5.1.3 SPECIAL OBJECTIVE FUNCTIONS AND TOPOLOGIES 100 5.1.4 SEPARABLE NONLINEAR OPTIMIZATION PROBLEM 101 5.2 NETWORK OPTIMIZATION ALGORITHMS 102 5.2.1 THE PRIMAL TRUNCATED NEWTON METHOD 102 5.2.2 THE SPLITTING EQUILIBRATION ALGORITHM 105 5.2.3 AN EXACT EQUILIBRATION ALGORITHM 108 5.2.4 A PRIMAL-DUAL DECOMPOSITION METHOD 110 5.3 NETWORK EQUILIBRIUM PROBLEMS ILL 5.4 NETWORK EQUILIBRIUM ALGORITHMS 125 5.4.1 THE PROJECTION METHOD 126 5.4.2 A GENERAL EQUILIBRATION ALGORITHM FOR SEPARABLE LINK COST FUNCTIONS 127 5.5 DYNAMIC NETWORK PROBLEMS 131 5.5.1 TATONNEMENT PROCESSES FOR NETWORK EQUILIBRIUM PROB- LEMS 131 5.5.2 DISCRETE TIME ALGORITHMS 132 5.6 SOURCES AND NOTES 134 III SINGLE COUNTRY MODELS 139 6 STATIC SINGLE COUNTRY MODELS 141 6.1 A GENERAL UTILITY FUNCTION MODEL 142 6.1.1 QUADRATIC UTILITY FUNCTIONS 150 6.2 QUALITATIVE PROPERTIES 152 6.3 NETWORK OPTIMIZATION REFORMULATION 158 6.4 COMPUTATION OF FINANCIAL EQUILIBRIA 163 6.4.1 THE MODIFIED PROJECTION METHOD 163 6.4.2 THE PRIMAL-DUAL METHOD 168 6.5 SOURCES AND NOTES 173 7 STATIC SINGLE COUNTRY HEDGING MODELS 176 7.1 MODELS WITH FUTURES 180 7.1.1 QUADRATIC UTILITY FUNCTIONS 187 7.2 QUALITATIVE PROPERTIES 188 7.3 NETWORK OPTIMIZATION REFORMULATION 191 7.4 COMPUTATION OF EQUILIBRIA WITH FUTURES 194 7.4.1 NUMERICAL EXAMPLES 199 7.5 MODELS WITH OPTIONS 203 7.6 .QUALITATIVE PROPERTIES 209 7.7 NETWORK OPTIMIZATION REFORMULATION 211 CONTENTS XIII 7.8 SOURCES AND NOTES 215 8 DYNAMIC SINGLE COUNTRY MODELS 218 8.1 DYNAMIC PERFECT MARKET FINANCIAL MODELS 219 8.1.1 A DYNAMIC GENERAL UTILITY FUNCTION MODEL 220 8.1.2 A DYNAMIC FINANCIAL MODEL WITH FUTURES 224 8.1.3 A DYNAMIC FINANCIAL MODEL WITH OPTIONS 227 8.2 STABILITY ANALYSIS 231 8.3 A DISCRETE TIME ALGORITHM 236 8.3.1 EULER METHOD FOR THE SECTION 8.1.1 MODEL 237 8.3.2 EULER METHOD FOR THE SECTION 8.1.2 MODEL 238 8.3.3 EULER METHOD FOR THE SECTION 8.1.3 MODEL 239 8.3.4 NUMERICAL EXAMPLES 242 8.4 SOURCES AND NOTES . 247 9 STATIC IMPERFECT MARKET MODELS 250 9.1 A GENERAL IMPERFECT MARKET MODEL 252 9.1.1 QUADRATIC UTILITY FUNCTIONS 259 9.2 QUALITATIVE PROPERTIES 260 9.3 NETWORK OPTIMIZATION IN A SPECIAL CASE 260 9.4 COMPUTATION OF IMPERFECT MARKET EQUILIBRIA 265 9.4.1 THE MODIFIED PROJECTION METHOD 265 9.4.2 NUMERICAL EXAMPLES 269 9.4.3 THE PRIMAL-DUAL METHOD : 273 9.5 SOURCES AND NOTES 274 10 DYNAMIC IMPERFECT MARKET MODELS 278 10.1 THE DYNAMIC IMPERFECT FINANCIAL MODEL 279 10.2 STABILITY ANALYSIS 283 10.3 A DISCRETE TIME ALGORITHM 289 10.3.1 NUMERICAL EXAMPLES 291 10.4 SOURCES AND NOTES 292 IV INTERNATIONAL MODELS 295 11 INTERNATIONAL FINANCIAL MODELS 297 11.1 STATIC INTERNATIONAL FINANCIAL MODELS 299 11.1.1 QUADRATIC UTILITY FUNCTIONS 307 11.2 QUALITATIVE PROPERTIES 308 11.2.1 COMPARATIVE STATICS 310 11.3 INTERNATIONAL FINANCIAL ADJUSTMENT PROCESS 312 11.4 STABILITY ANALYSIS 313 11.5 NETWORK OPTIMIZATION REFORMULATION 316 11.6 COMPUTATION OF INTERNATIONAL EQUILIBRIA 319 XIV CONTENTS 11.6.1 THE MODIFIED PROJECTION METHOD 321 11.6.2 THE EULER METHOD 324 11.6.3 NUMERICAL EXAMPLES 326 11.7 SOURCES AND NOTES 330 12 INTERNATIONAL MODELS WITH HEDGING 333 12.1 INTERNATIONAL HEDGING MODELS 335 12.1.1 SPECIAL CASES AND VARIANTS OF THE INTERNATIONAL HEDG- ING MODEL 345 12.2 QUALITATIVE ANALYSIS 355 12.3 INTERNATIONAL FINANCIAL ADJUSTMENT PROCESS 356 12.4 STABILITY ANALYSIS 358 12.5 NETWORK OPTIMIZATION REFORMULATION 360 12.6 COMPUTATIONAL METHODS 365 12.6.1 MODIFIED PROJECTION METHOD 365 12.6.2 EULER METHOD FOR THE ADJUSTMENT PROCESS OF SECTION . 369 12.3 . . 369 12.7 SOURCES AND NOTES 371 13 IMPERFECT MARKET MODELS 374 13.1 INTERNATIONAL FINANCIAL EQUILIBRIUM MODELS 376 13.1.1 QUADRATIC UTILITY FUNCTIONS 384 13.2 QUALITATIVE PROPERTIES 386 13.3 INTERNATIONAL FINANCIAL ADJUSTMENT PROCESS 387 13.4 STABILITY ANALYSIS 388 13.5 NETWORK OPTIMIZATION IN A SPECIAL CASE 390 13.6 COMPUTATION OF INTERNATIONAL EQUILIBRIA 393 13.6.1 THE MODIFIED PROJECTION METHOD 395 13.6.2 THE EULER METHOD 397 13.6.3 A NUMERICAL EXAMPLE 398 13.7 AN ADDENDUM 401 13.8 SOURCES AND NOTES 402 V FLOW OF FUNDS AND ESTIMATION 405 14 FLOW OF FUNDS MODELS 407 14.1 NETWORK MODELS 408 14.2 SEA FOR FINANCIAL FLOW OF FUNDS ESTIMATION 417 14.2.1 AN ELASTIC EXACT EQUILIBRATION ALGORITHM 422 14.3 A NUMERICAL EXAMPLE 424 14.4 SOURCES AND NOTES 427 CONTENTS XV VI EMPIRICAL RESULTS 429 15 EMPIRICAL ANALYSIS 431 15.1 ESTIMATION OF INPUTS TO FINANCIAL PROCESSES 433 15.1.1 COLLECTION OF DATA 436 15.2 NUMERICAL EXAMPLES 442 15.3 FUTURE DIRECTIONS FOR RESEARCH 448 15.4 CONCLUSIONS AND SUMMARY 451 15.5 SOURCES AND NOTES 453 A LINEAR ALGEBRA AND ANALYSIS 459 A.I LINEAR ALGEBRA 459 A.1.1 VECTORS 459 A.1.2 MATRICES . 461 A.2 REAL ANALYSIS 464 A.2.1 SETS 464 A.2.2 FUNCTIONS - 466 A.3 OPTIMIZATION 469 A.3.1 KARUSH-KUHN-TUCKER OPTIMIZATION CONDITIONS . . . . 470 B PROBABILITY 474 B.I PROBABILITY THEORY 474 B.I.I RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS . . . 475 B.I.2 EXPECTATIONS OF A RANDOM VARIABLE . 477 B.I.2.1 NORMAL DISTRIBUTION 478 B.I.2.2 JOINT DISTRIBUTIONS 478 C BLACK AND SCHOLES MODEL 480 LIST OF FIGURES 483 LIST OF TABLES 486 INDEX 487
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author	Nagurney, Anna Siokos, Stavros
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spelling	Nagurney, Anna Verfasser (DE-588)115438165 aut Financial networks statics and dynamics ; with 10 tables Anna Nagurney ; Stavros Siokos Berlin [u.a.] Springer 1997 XV, 491 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advances in spatial science Mathematisches Modell Finance -- Mathematical models Netzwerkmodell (DE-588)4131643-5 gnd rswk-swf Kapitalmarkt (DE-588)4029578-3 gnd rswk-swf Netzwerkanalyse (DE-588)4075298-7 gnd rswk-swf Kapitalmarkttheorie (DE-588)4137411-3 gnd rswk-swf Kapitalmarkt (DE-588)4029578-3 s Netzwerkanalyse (DE-588)4075298-7 s DE-604 Kapitalmarkttheorie (DE-588)4137411-3 s Netzwerkmodell (DE-588)4131643-5 s Siokos, Stavros Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007757261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Nagurney, Anna Siokos, Stavros Financial networks statics and dynamics ; with 10 tables Mathematisches Modell Finance -- Mathematical models Netzwerkmodell (DE-588)4131643-5 gnd Kapitalmarkt (DE-588)4029578-3 gnd Netzwerkanalyse (DE-588)4075298-7 gnd Kapitalmarkttheorie (DE-588)4137411-3 gnd
subject_GND	(DE-588)4131643-5 (DE-588)4029578-3 (DE-588)4075298-7 (DE-588)4137411-3
title	Financial networks statics and dynamics ; with 10 tables
title_auth	Financial networks statics and dynamics ; with 10 tables
title_exact_search	Financial networks statics and dynamics ; with 10 tables
title_full	Financial networks statics and dynamics ; with 10 tables Anna Nagurney ; Stavros Siokos
title_fullStr	Financial networks statics and dynamics ; with 10 tables Anna Nagurney ; Stavros Siokos
title_full_unstemmed	Financial networks statics and dynamics ; with 10 tables Anna Nagurney ; Stavros Siokos
title_short	Financial networks
title_sort	financial networks statics and dynamics with 10 tables
title_sub	statics and dynamics ; with 10 tables
topic	Mathematisches Modell Finance -- Mathematical models Netzwerkmodell (DE-588)4131643-5 gnd Kapitalmarkt (DE-588)4029578-3 gnd Netzwerkanalyse (DE-588)4075298-7 gnd Kapitalmarkttheorie (DE-588)4137411-3 gnd
topic_facet	Mathematisches Modell Finance -- Mathematical models Netzwerkmodell Kapitalmarkt Netzwerkanalyse Kapitalmarkttheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007757261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT nagurneyanna financialnetworksstaticsanddynamicswith10tables AT siokosstavros financialnetworksstaticsanddynamicswith10tables

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