Introductory Mathematics and Statistics for Islamic Finance, + Website

ABBAS MIRAKHOR is first Chair of Islamic Finance at the International Center for Education in Islamic Finance (INCEIF). Formerly, he served as Dean of the Executive Board of the International Monetary Fund (IMF) and as Executive Director representing 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 Saudi Arabia.

A unique primer on quantitative methods as applied to Islamic finance
 
Introductory Mathematics and Statistics for Islamic Finance + Website is a comprehensive guide to quantitative methods, specifically as applied within the realm of Islamic finance. With applications based on research, the book provides readers with the working knowledge of math and statistics required to understand Islamic finance theory and practice. The numerous worked examples give students with various backgrounds a uniform set of common tools for studying Islamic finance.
 
The in-depth study of finance requires a strong foundation in quantitative methods. Without a good grasp of math, probability, and statistics, published theoretical and applied works in Islamic finance remain out of reach. Unlike a typical math text, this book guides students through only the methods that directly apply to Islamic 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 in Islamic finance. Topics include:
* Algebra and matrices
* Calculus and differential equations
* Probability theory
* Statistics
 
Written by leading experts on the subject, the book serves as a useful primer on the analysis methods and techniques students will encounter in published research, as well as day-to-day operations in finance. Anyone aspiring to be successful in Islamic finance needs these skills, and Introductory Mathematics and Statistics for Islamic Finance + Website is a clear, concise, and highly relevant guide.

A unique primer on quantitative methods as applied to Islamic finance
Introductory Mathematics and Statistics for Islamic Finance + Website is a comprehensive guide to quantitative methods, specifically as applied within the realm of Islamic finance.

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