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Michael B. Mill Mathematics and Statistics for Financial Risk Managem (Hardback)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Mathematics and Statistics for Financial Risk Management
Publication Name
Mathematics and Statistics for Financial Risk Management
Title
Mathematics and Statistics for Financial Risk Management
Author
Michael B. Miller
Format
Hardcover
EAN
9781118750292
ISBN
9781118750292
Publisher
Wiley & Sons, Incorporated, John
Genre
Science Nature & Math
Topic
Business & Finance
Release Date
07/02/2014
Release Year
2014
Country/Region of Manufacture
US
Item Height
1.3in
Item Length
10.2in
Item Width
7.3in
Item Weight
26.5 Oz
Series
Wiley Finance Ser.
Language
English
Publication Year
2013
Type
Textbook
Number of Pages
336 Pages

About this product

Product Information

Mathematics and Statistics for Financial Risk Management is a practical guide to modern financial risk management for both practitioners and academics.

Product Identifiers

Publisher
Wiley & Sons, Incorporated, John
ISBN-10
1118750292
ISBN-13
9781118750292
eBay Product ID (ePID)
167868979

Product Key Features

Author
Michael B. Miller
Publication Name
Mathematics and Statistics for Financial Risk Management
Format
Hardcover
Language
English
Series
Wiley Finance Ser.
Publication Year
2013
Type
Textbook
Number of Pages
336 Pages

Dimensions

Item Length
10.2in
Item Height
1.3in
Item Width
7.3in
Item Weight
26.5 Oz

Additional Product Features

Lc Classification Number
Hd61.M537 2013
Edition Number
2
Table of Content
Preface ix What''s New in the Second Edition xi Acknowledgments xiii Chapter 1 Some Basic Math 1 Logarithms 1 Log Returns 2 Compounding 3 Limited Liability 4 Graphing Log Returns 5 Continuously Compounded Returns 6 Combinatorics 8 Discount Factors 9 Geometric Series 9 Problems 14 Chapter 2 Probabilities 15 Discrete Random Variables 15 Continuous Random Variables 15 Mutually Exclusive Events 21 Independent Events 22 Probability Matrices 22 Conditional Probability 24 Problems 26 Chapter 3 Basic Statistics 29 Averages 29 Expectations 34 Variance and Standard Deviation 39 Standardized Variables 41 Covariance 42 Correlation 43 Application: Portfolio Variance and Hedging 44 Moments 47 Skewness 48 Kurtosis 51 Coskewness and Cokurtosis 53 Best Linear Unbiased Estimator (BLUE) 57 Problems 58 Chapter 4 Distributions 61 Parametric Distributions 61 Uniform Distribution 61 Bernoulli Distribution 63 Binomial Distribution 65 Poisson Distribution 68 Normal Distribution 69 Lognormal Distribution 72 Central Limit Theorem 73 Application: Monte Carlo Simulations Part I: Creating Normal Random Variables 76 Chi-Squared Distribution 77 Student''s t Distribution 78 F -Distribution 79 Triangular Distribution 81 Beta Distribution 82 Mixture Distributions 83 Problems 86 Chapter 5 Multivariate Distributions and Copulas 89 Multivariate Distributions 89 Copulas 97 Problems 111 Chapter 6 Bayesian Analysis 113 Overview 113 Bayes'' Theorem 113 Bayes versus Frequentists 119 Many-State Problems 120 Continuous Distributions 124 Bayesian Networks 128 Bayesian Networks versus Correlation Matrices 130 Problems 132 Chapter 7 Hypothesis Testing and Confidence Intervals 135 Sample Mean Revisited 135 Sample Variance Revisited 137 Confidence Intervals 137 Hypothesis Testing 139 Chebyshev''s Inequality 142 Application: VaR 142 Problems 152 Chapter 8 Matrix Algebra 155 Matrix Notation 155 Matrix Operations 156 Application: Transition Matrices 163 Application: Monte Carlo Simulations Part II: Cholesky Decomposition 165 Problems 168 Chapter 9 Vector Spaces 169 Vectors Revisited 169 Orthogonality 172 Rotation 177 Principal Component Analysis 181 Application: The Dynamic Term Structure of Interest Rates 185 Application: The Structure of Global Equity Markets 191 Problems 193 Chapter 10 Linear Regression Analysis 195 Linear Regression (One Regressor) 195 Linear Regression (Multivariate) 203 Application: Factor Analysis 208 Application: Stress Testing 211 Problems 212 Chapter 11 Time Series Models 215 Random Walks 215 Drift-Diffusion Model 216 Autoregression 217 Variance and Autocorrelation 222 Stationarity 223 Moving Average 227 Continuous Models 228 Application: GARCH 230 Application: Jump-Diffusion Model 232 Application: Interest Rate Models 232 Problems 234 Chapter 12 Decay Factors 237 Mean 237 Variance 243 Weighted Least Squares 244 Other Possibilities 245 Application: Hybrid VaR 245 Problems 247 Appendix A Binary Numbers 249 Appendix B Taylor Expansions 251 Appendix C Vector Spaces 253 Appendix D Greek Alphabet 255 Appendix E Common Abbreviations 257 Appendix F Copulas 259 Answers 263 References 303 About the Author 305 About the Companion Website 307 Index 309
Copyright Date
2014
Topic
Finance / General, Decision-Making & Problem Solving
Lccn
2013-027322
Dewey Decimal
332.01/5195
Intended Audience
Scholarly & Professional
Dewey Edition
23
Illustrated
Yes
Genre
Business & Economics

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