Mirakhor / Krichene Introductory Mathematics and Statistics for Islamic Finance

1. Auflage 2014
ISBN: 978-1-118-77972-9
Verlag: John Wiley & Sons
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 496 Seiten, E-Book

Reihe: Wiley Finance Editions

A unique primer on quantitative methods as applied to Islamicfinance
Introductory Mathematics and Statistics for Islamic Finance +Website is a comprehensive guide to quantitative methods,specifically as applied within the realm of Islamic finance. Withapplications based on research, the book provides readers with theworking knowledge of math and statistics required to understandIslamic finance theory and practice. The numerous worked examplesgive students with various backgrounds a uniform set of commontools for studying Islamic finance.
The in-depth study of finance requires a strong foundation inquantitative methods. Without a good grasp of math, probability,and statistics, published theoretical and applied works in Islamicfinance remain out of reach. Unlike a typical math text, this bookguides students through only the methods that directly apply toIslamic finance, without wasting time on irrelevant techniques.Each chapter contains a detailed explanation of the topic at hand,followed by an example based on real situations encountered inIslamic finance. Topics include:
* Algebra and matrices
* Calculus and differential equations
* Probability theory
* Statistics
Written by leading experts on the subject, the book serves as auseful primer on the analysis methods and techniques students willencounter in published research, as well as day-to-day operationsin finance. Anyone aspiring to be successful in Islamic financeneeds these skills, and Introductory Mathematics and Statisticsfor Islamic Finance + Website is a clear, concise, and highlyrelevant guide.

Autoren/Hrsg.

Mirakhor, Abbas

Krichene, Noureddine

Inhaltsverzeichnis

Preface ix
Acknowledgments xi
About the Authors xiii
PART ONE Mathematics
CHAPTER 1 Elementary Mathematics 3
CHAPTER 2 Functions and Models 25
CHAPTER 3 Differentiation and Integration of Functions 41
CHAPTER 4 Partial Derivatives 61
CHAPTER 5 Logarithm, Exponential, and Trigonometric Functions 77
CHAPTER 6 Linear Algebra 91
CHAPTER 7 Differential Equations 117
CHAPTER 8 Difference Equations 141
CHAPTER 9 Optimization Theory 167
CHAPTER 10 Linear Programming 195
PART TWO Statistics
CHAPTER 11 Introduction to Probability Theory: Axioms and Distributions 227
CHAPTER 12 Probability Distributions and Moment Generating Functions 251
CHAPTER 13 Sampling and Hypothesis Testing Theory 271
CHAPTER 14 Regression Analysis 301
CHAPTER 15 Time Series Analysis 327
CHAPTER 16 Nonstationary Time Series and Unit-Root Testing 355
CHAPTER 17 Vector Autoregressive Analysis (VAR) 369
CHAPTER 18 Co-Integration: Theory and Applications 381
CHAPTER 19 Modeling Volatility: ARCH-GARCH Models 397
CHAPTER 20 Asset Pricing under Uncertainty 413
CHAPTER 21 The Consumption-Based Pricing Model 439
CHAPTER 22 Brownian Motion, Risk-Neutral Processes, and the Black-Scholes Model 451
References 473
Index 475

Über Autor(innen)

ABBAS MIRAKHOR is first Chair of Islamic Finance at theInternational Center for Education in Islamic Finance (INCEIF).Formerly, he served as Dean of the Executive Board of theInternational Monetary Fund (IMF) and as Executive Directorrepresenting Afghanistan, Algeria, Ghana, Iran, Morocco, Pakistan,and Tunisia.
NOUREDDINE KRICHENE taught Islamic finance at INCEIF,Malaysia, was an economist with the International Monetary Fund,and acted as an advisor to the Islamic Development Bank in SaudiArabia.