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Introductory Mathematics and Statistics for Islamic Finance [[electronic resource]]
| Introductory Mathematics and Statistics for Islamic Finance [[electronic resource]] |
| Autore | Mirakhor Abbas |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2014 |
| Descrizione fisica | 1 online resource (498 p.) |
| Disciplina | 300 |
| Altri autori (Persone) | KricheneNoureddine |
| Soggetto topico |
Banks and banking -- Islamic countries
Banks and banking Finance -- Islamic countries |
| ISBN |
1-118-77971-1
1-118-77970-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introductory Mathematics and Statistics for Islamic Finance; Contents; Preface; Acknowledgments; About the Authors; Part One: Mathematics; Chapter 1: Elementary Mathematics; BASIC MATHEMATICAL OBJECTS; Real Numbers; Complex Numbers; Absolute Value of a Number; Vectors and Arrays; Angles and Directions; Graphics; Reporting Economic and Financial Data; VARIABLES, MONOMIALS, BINOMIALS, AND POLYNOMIALS; Monomials, Binomials, and Polynomials; Polynomial Lags; Identities; Factorization of a Polynomial; EQUATIONS; EQUATIONS OF HIGHER ORDER; SEQUENCES; SERIES; Convergence of a Series
APPLICATIONS OF SERIES TO PRESENT VALUE OF ASSETS Applications of Series to Present Value Computation; SUMMARY; QUESTIONS; Chapter 2: Functions and Models; DEFINITION OF A FUNCTION; Parametric Form of a Function; FUNCTIONS AND MODELS IN ECONOMICS; The Market Model: Demand and Supply Functions; The Budget Constraint; The Production Possibility Frontier (PPF); The Utility Function; Production Function; Other Functions in Economics; FUNCTIONS AND MODELS IN FINANCE; The Present Value Function; The Capital Asset Pricing Model (CAPM); Payoff of a Futures Contract; Payoff of an Option Contract Payoff to a Swap Price of an Option; The Forward Exchange Rate; MULTIVARIATE FUNCTIONS IN ECONOMICS AND FINANCE; Parametric Representation; Level Curves; SUMMARY; QUESTIONS; Chapter 3: Differentiation and Integration of Functions; DIFFERENTIATION; DIFFERENTIATION RULES; MAXIMUM AND MINIMUM OF A FUNCTION; MEAN VALUE THEOREM; POLYNOMIAL APPROXIMATIONS OF A FUNCTION: TAYLOR'S EXPANSION; INTEGRATION; Integration; The First Fundamental Theorem of Calculus; Second Fundamental Theorem of Calculus; Change in Variables in Indefinite Integrals; Double Integral APPLICATIONS IN FINANCE: DURATION AND CONVEXITY OF A SUKUK Duration of a Sukuk; Application of Taylor Expansion to the Convexity of Sukuk's Price; SUMMARY; QUESTIONS; Chapter 4: Partial Derivatives; DEFINITION AND COMPUTATION OF PARTIAL DERIVATIVES; The Chain Rule; Derivatives of Implicit Functions; TOTAL DIFFERENTIAL OF A FUNCTION WITH MANY VARIABLES; DIRECTIONAL DERIVATIVES; GRADIENTS; TANGENT PLANES AND NORMAL LINES; Tangent Planes; Normal Line; EXTREMA OF FUNCTIONS OF SEVERAL VARIABLES; EXTREMAL PROBLEMS WITH CONSTRAINTS; Elimination Method; Lagrange Method; SUMMARY; QUESTIONS Chapter 5: Logarithm, Exponential, and Trigonometric Functions LOGARITHM FUNCTIONS; Logarithm Identities; Change of Base; The Natural Logarithmic Function; THE EXPONENTIAL FUNCTION; POWER SERIES OF LOGARITHMIC AND EXPONENTIAL FUNCTIONS; GENERAL EXPONENTIAL AND LOGARITHMIC FUNCTIONS; SOME APPLICATIONS OF LOGARITHM AND EXPONENTIAL FUNCTIONS IN FINANCE; Simple Compounding and Continuous Compounding of Returns; The Present Value Formula; The Normal Distribution; INTEGRATION BY PARTS; TRIGONOMETRIC FUNCTIONS; SUMMARY; QUESTIONS; Chapter 6: Linear Algebra; VECTORS; Addition of Vectors Multiplication of Vectors |
| Record Nr. | UNINA-9910139137203321 |
Mirakhor Abbas
|
||
| Hoboken, : Wiley, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introductory Mathematics and Statistics for Islamic Finance
| Introductory Mathematics and Statistics for Islamic Finance |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2014 |
| Descrizione fisica | 1 online resource (498 p.) |
| Disciplina | 300 |
| Altri autori (Persone) | KricheneNoureddine |
| Collana | Wiley finance series |
| Soggetto topico |
Banks and banking -- Islamic countries
Banks and banking Finance -- Islamic countries |
| ISBN |
9781118779712
1118779711 9781118779705 1118779703 |
| Classificazione |
338.227
332.091767 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introductory Mathematics and Statistics for Islamic Finance; Contents; Preface; Acknowledgments; About the Authors; Part One: Mathematics; Chapter 1: Elementary Mathematics; BASIC MATHEMATICAL OBJECTS; Real Numbers; Complex Numbers; Absolute Value of a Number; Vectors and Arrays; Angles and Directions; Graphics; Reporting Economic and Financial Data; VARIABLES, MONOMIALS, BINOMIALS, AND POLYNOMIALS; Monomials, Binomials, and Polynomials; Polynomial Lags; Identities; Factorization of a Polynomial; EQUATIONS; EQUATIONS OF HIGHER ORDER; SEQUENCES; SERIES; Convergence of a Series
APPLICATIONS OF SERIES TO PRESENT VALUE OF ASSETS Applications of Series to Present Value Computation; SUMMARY; QUESTIONS; Chapter 2: Functions and Models; DEFINITION OF A FUNCTION; Parametric Form of a Function; FUNCTIONS AND MODELS IN ECONOMICS; The Market Model: Demand and Supply Functions; The Budget Constraint; The Production Possibility Frontier (PPF); The Utility Function; Production Function; Other Functions in Economics; FUNCTIONS AND MODELS IN FINANCE; The Present Value Function; The Capital Asset Pricing Model (CAPM); Payoff of a Futures Contract; Payoff of an Option Contract Payoff to a Swap Price of an Option; The Forward Exchange Rate; MULTIVARIATE FUNCTIONS IN ECONOMICS AND FINANCE; Parametric Representation; Level Curves; SUMMARY; QUESTIONS; Chapter 3: Differentiation and Integration of Functions; DIFFERENTIATION; DIFFERENTIATION RULES; MAXIMUM AND MINIMUM OF A FUNCTION; MEAN VALUE THEOREM; POLYNOMIAL APPROXIMATIONS OF A FUNCTION: TAYLOR'S EXPANSION; INTEGRATION; Integration; The First Fundamental Theorem of Calculus; Second Fundamental Theorem of Calculus; Change in Variables in Indefinite Integrals; Double Integral APPLICATIONS IN FINANCE: DURATION AND CONVEXITY OF A SUKUK Duration of a Sukuk; Application of Taylor Expansion to the Convexity of Sukuk's Price; SUMMARY; QUESTIONS; Chapter 4: Partial Derivatives; DEFINITION AND COMPUTATION OF PARTIAL DERIVATIVES; The Chain Rule; Derivatives of Implicit Functions; TOTAL DIFFERENTIAL OF A FUNCTION WITH MANY VARIABLES; DIRECTIONAL DERIVATIVES; GRADIENTS; TANGENT PLANES AND NORMAL LINES; Tangent Planes; Normal Line; EXTREMA OF FUNCTIONS OF SEVERAL VARIABLES; EXTREMAL PROBLEMS WITH CONSTRAINTS; Elimination Method; Lagrange Method; SUMMARY; QUESTIONS Chapter 5: Logarithm, Exponential, and Trigonometric Functions LOGARITHM FUNCTIONS; Logarithm Identities; Change of Base; The Natural Logarithmic Function; THE EXPONENTIAL FUNCTION; POWER SERIES OF LOGARITHMIC AND EXPONENTIAL FUNCTIONS; GENERAL EXPONENTIAL AND LOGARITHMIC FUNCTIONS; SOME APPLICATIONS OF LOGARITHM AND EXPONENTIAL FUNCTIONS IN FINANCE; Simple Compounding and Continuous Compounding of Returns; The Present Value Formula; The Normal Distribution; INTEGRATION BY PARTS; TRIGONOMETRIC FUNCTIONS; SUMMARY; QUESTIONS; Chapter 6: Linear Algebra; VECTORS; Addition of Vectors Multiplication of Vectors |
| Record Nr. | UNINA-9910823234403321 |
| Hoboken, : Wiley, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||