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.

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

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