Quantitative toolkit for economics and finance:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Miami, Fla.
Kolb
1993
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015148301&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 437 S. graph. Darst. |
| ISBN: | 1878975145 |
Internformat
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Datensatz im Suchindex
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| adam_text | QUANTITATIVE TOOLKIT FOR ECONOMICS AND FINANCE A 241267 STEPHEN MATHIS
SHIPPENSBURG UNIVERSITY * LEE SIEGEL ENNSYLVANIA DEPARTMENT OF
TREASURY |# KOLB PUBLISHING COMPANY / | 4705 S.W. 72 AVE. MIAMI.
FLORIDA 33155 KOLB (305) 663-0550 FAX (305) 663-6579 CONTENTS CHAPTER 1
INTRODUCTION TO MODEL BUILDING 1 INTRODUCTION 1 CHARACTERISTICS OF
MODELS 2 UNDERLYING ASSUMPTIONS 4 CONSTRUCTION AND TESTING OF MODELS 4
PITFALLS TO AVOID IN MODEL BUILDING 7 AN OVERVIEW OF THE BOOK 12
IMPORTANT TERMS IN THIS CHAPTER 14 EXERCISES 15 CHAPTER 2 UNIVARIATE
FUNCTIONS 17 INTRODUCTION 17 BASIC MATHEMATICAL CONCEPTUALIZATION 17
CARTESIAN COORDINATES 18 LINEAR FUNCTIONS 21 THE INTERCEPT COEFFICIENT
21 I THE SLOPE COEFFICIENT 22 GRAPHING LINEAR UNIVARIATE FUNCTIONS 23
EXCERCISE SET 2.1 41 NONLINEAR FUNCTIONS 42 FUNCTIONS WITH POSITIVE
FRACTIONAL EXPONENTS 46 QUADRATIC FUNCTIONS 48 CUBIC FUNCTIONS 52
HYPERBOLIC FUNCTIONS 54 CONCLUSION 55 APPENDIX 57 NUMBERS 57 IMPORTANT
TERMS IN THIS CHAPTER 60 EXERCISE SET 2.2 63 REFERENCES 66 CHAPTER 3
MULTIVARIATE FUNCTIONS 67 INTRODUCTION 67 FUNCTIONS: THE MULTIVARIATE
CASE 68 INTERPRETATION OF THE SLOPE AND INTERCEPT FOR THE MULTIVARIATE
CASE 69 GRAPHING MULTIVARIATE FUNCTIONS 71 EXERCISE SET 3.1 74
APPLICATIONS TO ECONOMICS 75 ARE CURVES REALLY SHIFTED? 82 CONCLUSION 83
IMPORTANT TERMS IN THIS CHAPTER 83 EXERCISE SET 3.2 84 NOTE 87 CHAPTER 4
MARGINAL FUNCTIONS AND THEIR APPLICATIONS 88 INTRODUCTION 88 MARGINAL
FUNCTIONS AND THEIR RELATIONSHIP TO TOTAL FUNCTIONS 89 EXERCISE SET 4.1
99 SKETCHING MARGINAL CURVES FROM KNOWLEDGE OF TOTAL FUNCTIONS 100
MAXIMA AND MINIMA: CONCAVITY AND CONVEXITY 116 SOME PRELIMINARIES 116
MAXIMA AND MINIMA: NECESSARY CONDITIONS 118 MAXIMA AND MINIMA:
SUFFICIENT CONDITIONS 121 MAXIMA: SUFFICIENT CONDITIONS 121 MINIMA:
SUFFICIENT CONDITIONS 124 CONCAVITY AND CONVEXITY 129 IMPORTANT TERMS IN
THIS CHAPTER 140 EXERCISE SET 4.2 142 NOTES 145 CHAPTER 5 AVERAGE
FUNCTIONS AND ELASTICITIES 148 INTRODUCTION 148 AVERAGE FUNCTIONS AND
THEIR RELATIONSHIP TO TOTAL FUNCTIONS 149 THE AVERAGE-TOTAL
RELATIONSHIP: A GEOMETRIC APPROACH 149 TOTALS FROM AVERAGES 150 THE
AVERAGE-MARGINAL RELATIONSHIP 162 EXERCISE SET 5.1 167 ELASTICITIES 169
PERCENTAGE CHANGES 169 ELASTICITY: THE CONCEPT 170 INTERPRETING VALUES
OF THE ELASTICITY 171 POINT ELASTICITIES VS. ARC ELASTICITIES 176
CONCLUSION 186 IMPORTANT TERMS IN THIS CHAPTER 186 EXERCISE SET 5.2 188
NOTES 191 CHAPTER 6 SIMULTANEOUS EQUATION MODELS 192 INTRODUCTION 192
EQUILIBRIUM 193 EQUILIBRIUM CONDITIONS, BEHAVIORAL EQUATIONS, AND
IDENTITIES 195 SOLVING SIMULTANEOUS EQUATION SYSTEMS 197 MARKET
EQUILIBRIUM: THE GRAPHICAL APPROACH 197 MARKET EQUILIBRIUM: THE
ALGEBRAIC APPROACH USING A LINEAR MODEL 205 A SIMPLE MODEL OF NATIONAL
INCOME 209 EQUILIBRIUM FOR A MONOPOLIST: A NUMERICAL EXAMPLE 210
CONCLUSION 213 IMPORTANT TERMS IN THIS CHAPTER 213 EXERCISES 214 CHAPTER
7 DERIVATIVES: UNIVARIATE FUNCTIONS 218 INTRODUCTION 218 LIMITS AND
DERIVATIVES 219 THE LIMIT OF A FUNCTION 219 THE DERIVATIVE 222 THE DELTA
(A) METHOD 223 RULES FOR DIFFERENTIATION 229 IMPLICIT DIFFERENTIATION
232 ECONOMIC APPLICATIONS UTILIZING DERIVATIVES 237 THE DERIVATIVE AS
MARGINAL FUNCTION 238 THE DERIVATIVE AND ELASTICITIES 248 EXERCISE SET
7.1 252 MAXIMA AND MINIMA 254 DERIVATIVES OF AVERAGE FUNCTIONS: THE
MARGINAL-AVERAGE RELATIONSHIP 260 CONCLUSION 263 APPENDIX 263 HIGHER
ORDER DERIVATIVES AND THEIR APPLICATIONS 263 CONCAVITY, CONVEXITY, AND
INFLECTION POINTS 264 DISTINGUISHING BETWEEN CRITICAL VALUES:
SUFFICIENCY CONDITIONS REVISITED 267 HIGHER ORDER TEST OF CRITICAL
POINTS 269 IMPORTANT TERMS IN THIS CHAPTER 270 EXERCISE SET 7.2 272
REFERENCES 274 CHAPTER 8 DERIVATIVES: MULTIVARIATE FUNCTIONS 275
INTRODUCTION 275 PARTIAL DERIVATIVES 276 TOTAL DERIVATIVES 281
APPLICATIONS OF PARTIAL DERIVATIVES TO ECONOMIC MODELS 286 APPLICATIONS
OF TOTAL DERIVATIVES TO ECONOMIC MODELS 292 EXERCISE SET 8.1 295
UNCONSTRAINED OPTIMIZATION OF MULTIVARIATE FUNCTIONS 297 OPTIMIZATION BY
USING TOTAL DERIVATIVES 297 OPTIMIZATION BY USING PARTIAL DERIVATIVES
300 CONSTRAINED OPTIMIZATION 305 CONSTRAINED OPTIMIZATION USING THE
SUBSTITUTION METHOD 306 CONSTRAINED OPTIMIZATION USING THE METHOD OF
LAGRANGEAN MULTIPLIERS 310 CONCLUSION 314 IMPORTANT TERMS IN THIS
CHAPTER 315 EXERCISE SET 8.2 316 REFERENCES 318 CHAPTER 9 ESTIMATION OF
SIMPLE MODELS 319 INTRODUCTION 319 DETERMINISTIC VS. STOCHASTIC
RELATIONSHIPS 321 SOME STATISTICAL DEFINITIONS 324 EXPECTED VALUES AND
MEANS 324 VARIANCES AND STANDARD DEVIATIONS 327 EXERCISE SET 9.1 329
SIMPLE REGRESSION 331 METHODS OF COLLECTING DATA 332 FITTING A LINE TO A
SET OF OBSERVATIONS 336 STATISTICAL MEASURES AND TESTS OF SIGNIFICANCE
342 TESTING THE SLOPE COEFFICIENT FOR SIGNIFICANCE 346 THE COEFFICIENT
OF DETERMINATION AND THE F TEST 351 SOME LIMITATIONS OF REGRESSION
ANALYSIS 356 MULTIVARIATE REGRESSION 358 CONCLUSION 361 IMPORTANT TERMS
IN THIS CHAPTER 361 EXERCISE SET 9.2 362 NOTE 365 REFERENCES 365
SOLUTIONS TO EXCERCISES 367 CHAPTER 1 367 EXERCISE SET CHAPTER 2 368
EXERCISE SET 2.1 EXERCISE SET 2.2 CHAPTER 3 378 EXERCISE SET 3.1
EXERCISE SET 3.2 CHAPTER 4 386 EXERCISE SET 4.1 EXERCISE SET 4.2 CHAPTER
5 402 EXERCISE SET 5.1 EXERCISE SET 5.2 367 368 372 378 380 386 392 402
407 CHAPTER 6 412 EXERCISE SET CHAPTER 7 416 EXERCISE SET 7.1 EXERCISE
SET 7.2 CHAPTER 8 423 EXERCISE SET 8.1 EXERCISE SET 8.2 CHAPTER 9 430
EXERCISE SET 9.1 EXERCISE SET 9.2 412 416 419 423 426 430 433
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| illustrated | Illustrated |
| indexdate | 2024-12-20T12:45:11Z |
| institution | BVB |
| isbn | 1878975145 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015148301 |
| oclc_num | 27376864 |
| open_access_boolean | |
| owner | DE-706 DE-11 |
| owner_facet | DE-706 DE-11 |
| physical | 437 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Kolb |
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| spellingShingle | Mathis, Stephen Siegel, Lee Quantitative toolkit for economics and finance Kwantitatieve methoden gtt Mathematisches Modell Wirtschaft Economics Mathematical models Finance Mathematical models Wirtschaftsmathematik (DE-588)4066472-7 gnd Finanzmathematik (DE-588)4017195-4 gnd |
| subject_GND | (DE-588)4066472-7 (DE-588)4017195-4 (DE-588)4151278-9 |
| title | Quantitative toolkit for economics and finance |
| title_auth | Quantitative toolkit for economics and finance |
| title_exact_search | Quantitative toolkit for economics and finance |
| title_full | Quantitative toolkit for economics and finance Stephen Mathis ; Lee Siegel |
| title_fullStr | Quantitative toolkit for economics and finance Stephen Mathis ; Lee Siegel |
| title_full_unstemmed | Quantitative toolkit for economics and finance Stephen Mathis ; Lee Siegel |
| title_short | Quantitative toolkit for economics and finance |
| title_sort | quantitative toolkit for economics and finance |
| topic | Kwantitatieve methoden gtt Mathematisches Modell Wirtschaft Economics Mathematical models Finance Mathematical models Wirtschaftsmathematik (DE-588)4066472-7 gnd Finanzmathematik (DE-588)4017195-4 gnd |
| topic_facet | Kwantitatieve methoden Mathematisches Modell Wirtschaft Economics Mathematical models Finance Mathematical models Wirtschaftsmathematik Finanzmathematik Einführung |
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