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Farida KachapovaMathematical Models in Portfolio Analysis Download free books at... Download free eBooks at bookboon.com2 Farida Kachapova Mathematical Models in Portfolio Analysis... D

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Farida Kachapova

Mathematical Models in Portfolio Analysis

Download free books at

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Download free eBooks at bookboon.com

2

Farida Kachapova

Mathematical Models in Portfolio

Analysis

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Download free eBooks at bookboon.com

3

Mathematical Models in Portfolio Analysis

1st edition

© 2013 Farida Kachapova & bookboon.com

ISBN 978-87-403-0370-4

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Mathematical Models in Portfolio Analysis

4

Contents

Contents

Part 1: Mathematical Introduction 8

1 Matrices and Applications 9

2 Orthogonal Projection 19

2.1 Orthogonal Projection onto a Subspace 19

2.2 Orthogonal Projection onto a Vector 20

2.3 Minimal Property of Orthogonal Projection 21

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Mathematical Models in Portfolio Analysis

5

Contents

3.1 Numerical Characteristics of a Random Variable 22

3.2 Covariance and Correlation Coeicient 27

4.1 Euclidean Space of Random Variables 31

Part 2: Portfolio Analysis 40

5.4 Statistical Parameters of an N-Asset Portfolio 48

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