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Financial Risk Modelling and Portfolio Optimization with R


Financial Risk Modelling and Portfolio Optimization with R


2. Aufl.

von: Bernhard Pfaff

77,99 €

Verlag: Wiley
Format: EPUB
Veröffentl.: 16.08.2016
ISBN/EAN: 9781119119685
Sprache: englisch
Anzahl Seiten: 448

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Beschreibungen

<p><b>A must have text for risk modelling and portfolio optimization using R.</b></p> <p>This book introduces the latest techniques advocated for measuring financial market risk and portfolio optimization, and provides a plethora of R code examples that enable the reader to replicate the results featured throughout the book.  This edition has been extensively revised to include new topics on risk surfaces and probabilistic utility optimization as well as an extended introduction to R language.</p> <p><i>Financial Risk Modelling and Portfolio Optimization with R</i>:</p> <ul> <li>Demonstrates techniques in modelling financial risks and applying portfolio optimization techniques as well as recent advances in the field.</li> <li>Introduces stylized facts, loss function and risk measures, conditional and unconditional modelling of risk; extreme value theory, generalized hyperbolic distribution, volatility modelling and concepts for capturing dependencies.</li> <li>Explores portfolio risk concepts and optimization with risk constraints.</li> <li>Is accompanied by a supporting website featuring examples and case studies in R.</li> <li>Includes updated list of R packages for enabling the reader to replicate the results in the book.</li> </ul> <p>Graduate and postgraduate students in finance, economics, risk management as well as practitioners in finance and portfolio optimization will find this book beneficial. It also serves well as an accompanying text in computer-lab classes and is therefore suitable for self-study.</p>
<p>Preface to the Second Edition xi</p> <p>Preface xiii</p> <p>Abbreviations xv</p> <p>About the Companion Website xix</p> <p><b>PART I MOTIVATION 1</b></p> <p><b>1 Introduction 3</b></p> <p>Reference 5</p> <p><b>2 A brief course in R 6</b></p> <p>2.1 Origin and development 6</p> <p>2.2 Getting help 7</p> <p>2.3 Working with R 10</p> <p>2.4 Classes, methods, and functions 12</p> <p>2.5 The accompanying package FRAPO 22</p> <p>References 28</p> <p><b>3 Financial market data 29</b></p> <p>3.1 Stylized facts of financial market returns 29</p> <p>3.1.1 Stylized facts for univariate series 29</p> <p>3.1.2 Stylized facts for multivariate series 32</p> <p>3.2 Implications for risk models 35</p> <p>References 36</p> <p><b>4 Measuring risks 37</b></p> <p>4.1 Introduction 37</p> <p>4.2 Synopsis of risk measures 37</p> <p>4.3 Portfolio risk concepts 42</p> <p>References 44</p> <p><b>5 Modern portfolio theory 46</b></p> <p>5.1 Introduction 46</p> <p>5.2 Markowitz portfolios 47</p> <p>5.3 Empirical mean-variance portfolios 50</p> <p>References 52</p> <p><b>PART II RISK MODELLING 55</b></p> <p><b>6 Suitable distributions for returns 57</b></p> <p>6.1 Preliminaries 57</p> <p>6.2 The generalized hyperbolic distribution 57</p> <p>6.3 The generalized lambda distribution 60</p> <p>6.4 Synopsis of R packages for GHD 66</p> <p>6.4.1 The package fBasics 66</p> <p>6.4.2 The package GeneralizedHyperbolic 67</p> <p>6.4.3 The package ghyp 69</p> <p>6.4.4 The package QRM 70</p> <p>6.4.5 The package SkewHyperbolic 70</p> <p>6.4.6 The package VarianceGamma 71</p> <p>6.5 Synopsis of R packages for GLD 71</p> <p>6.5.1 The package Davies 71</p> <p>6.5.2 The package fBasics 72</p> <p>6.5.3 The package gld 73</p> <p>6.5.4 The package lmomco 73</p> <p>6.6 Applications of the GHD to risk modelling 74</p> <p>6.6.1 Fitting stock returns to the GHD 74</p> <p>6.6.2 Risk assessment with the GHD 77</p> <p>6.6.3 Stylized facts revisited 80</p> <p>6.7 Applications of the GLD to risk modelling and data analysis 82</p> <p>6.7.1 VaR for a single stock 82</p> <p>6.7.2 Shape triangle for FTSE 100 constituents 84</p> <p>References 86</p> <p><b>7 Extreme value theory 89</b></p> <p>7.1 Preliminaries 89</p> <p>7.2 Extreme value methods and models 90</p> <p>7.2.1 The block maxima approach 90</p> <p>7.2.2 The rth largest order models 91</p> <p>7.2.3 The peaks-over-threshold approach 92</p> <p>7.3 Synopsis of R packages 94</p> <p>7.3.1 The package evd 94</p> <p>7.3.2 The package evdbayes 95</p> <p>7.3.3 The package evir 96</p> <p>7.3.4 The packages extRemes and in2extRemes 98</p> <p>7.3.5 The package fExtremes 99</p> <p>7.3.6 The package ismev 101</p> <p>7.3.7 The package QRM 101</p> <p>7.3.8 The packages Renext and RenextGUI 102</p> <p>7.4 Empirical applications of EVT 103</p> <p>7.4.1 Section outline 103</p> <p>7.4.2 Block maxima model for Siemens 103</p> <p>7.4.3 r-block maxima for BMW 107</p> <p>7.4.4 POT method for Boeing 110</p> <p>References 115</p> <p><b>8 Modelling volatility 116</b></p> <p>8.1 Preliminaries 116</p> <p>8.2 The class of ARCH models 116</p> <p>8.3 Synopsis of R packages 120</p> <p>8.3.1 The package bayesGARCH 120</p> <p>8.3.2 The package ccgarch 121</p> <p>8.3.3 The package fGarch 122</p> <p>8.3.4 The package GEVStableGarch 122</p> <p>8.3.5 The package gogarch 123</p> <p>8.3.6 The package lgarch 123</p> <p>8.3.7 The packages rugarch and rmgarch 125</p> <p>8.3.8 The package tseries 127</p> <p>8.4 Empirical application of volatility models 128</p> <p>References 130</p> <p><b>9 Modelling dependence 133</b></p> <p>9.1 Overview 133</p> <p>9.2 Correlation, dependence, and distributions 133</p> <p>9.3 Copulae 136</p> <p>9.3.1 Motivation 136</p> <p>9.3.2 Correlations and dependence revisited 137</p> <p>9.3.3 Classification of copulae 139</p> <p>9.4 Synopsis of R packages 142</p> <p>9.4.1 The package BLCOP 142</p> <p>9.4.2 The package copula 144</p> <p>9.4.3 The package fCopulae 146</p> <p>9.4.4 The package gumbel 147</p> <p>9.4.5 The package QRM 148</p> <p>9.5 Empirical applications of copulae 148</p> <p>9.5.1 GARCH–copula model 148</p> <p>9.5.2 Mixed copula approaches 155</p> <p>References 157</p> <p><b>PART III PORTFOLIO OPTIMIZATION APPROACHES 161</b></p> <p><b>10 Robust portfolio optimization 163</b></p> <p>10.1 Overview 163</p> <p>10.2 Robust statistics 164</p> <p>10.2.1 Motivation 164</p> <p>10.2.2 Selected robust estimators 165</p> <p>10.3 Robust optimization 168</p> <p>10.3.1 Motivation 168</p> <p>10.3.2 Uncertainty sets and problem formulation 168</p> <p>10.4 Synopsis of R packages 174</p> <p>10.4.1 The package covRobust 174</p> <p>10.4.2 The package fPortfolio 174</p> <p>10.4.3 The package MASS 175</p> <p>10.4.4 The package robustbase 176</p> <p>10.4.5 The package robust 176</p> <p>10.4.6 The package rrcov 178</p> <p>10.4.7 Packages for solving SOCPs 179</p> <p>10.5 Empirical applications 180</p> <p>10.5.1 Portfolio simulation: robust versus classical statistics 180</p> <p>10.5.2 Portfolio back test: robust versus classical statistics 186</p> <p>10.5.3 Portfolio back-test: robust optimization 190</p> <p>References 195</p> <p><b>11 Diversification reconsidered 198</b></p> <p>11.1 Introduction 198</p> <p>11.2 Most-diversified portfolio 199</p> <p>11.3 Risk contribution constrained portfolios 201</p> <p>11.4 Optimal tail-dependent portfolios 204</p> <p>11.5 Synopsis of R packages 207</p> <p>11.5.1 The package cccp 207</p> <p>11.5.2 The packages DEoptim, DEoptimR, and RcppDE 207</p> <p>11.5.3 The package FRAPO 210</p> <p>11.5.4 The package PortfolioAnalytics 211</p> <p>11.6 Empirical applications 212</p> <p>11.6.1 Comparison of approaches 212</p> <p>11.6.2 Optimal tail-dependent portfolio against benchmark 216</p> <p>11.6.3 Limiting contributions to expected shortfall 221</p> <p>References 226</p> <p><b>12 Risk-optimal portfolios 228</b></p> <p>12.1 Overview 228</p> <p>12.2 Mean-VaR portfolios 229</p> <p>12.3 Optimal CVaR portfolios 234</p> <p>12.4 Optimal draw-down portfolios 238</p> <p>12.5 Synopsis of R packages 241</p> <p>12.5.1 The package fPortfolio 241</p> <p>12.5.2 The package FRAPO 243</p> <p>12.5.3 Packages for linear programming 245</p> <p>12.5.4 The package PerformanceAnalytics 249</p> <p>12.6 Empirical applications 251</p> <p>12.6.1 Minimum-CVaR versus minimum-variance portfolios 251</p> <p>12.6.2 Draw-down constrained portfolios 254</p> <p>12.6.3 Back-test comparison for stock portfolio 260</p> <p>12.6.4 Risk surface plots 265</p> <p>References 272</p> <p><b>13 Tactical asset allocation 274</b></p> <p>13.1 Overview 274</p> <p>13.2 Survey of selected time series models 275</p> <p>13.2.1 Univariate time series models 275</p> <p>13.2.2 Multivariate time series models 281</p> <p>13.3 The Black–Litterman approach 289</p> <p>13.4 Copula opinion and entropy pooling 292</p> <p>13.4.1 Introduction 292</p> <p>13.4.2 The COP model 292</p> <p>13.4.3 The EP model 293</p> <p>13.5 Synopsis of R packages 295</p> <p>13.5.1 The package BLCOP 295</p> <p>13.5.2 The package dse 297</p> <p>13.5.3 The package fArma 300</p> <p>13.5.4 The package forecast 301</p> <p>13.5.5 The package MSBVAR 302</p> <p>13.5.6 The package PortfolioAnalytics 304</p> <p>13.5.7 The packages urca and vars 304</p> <p>13.6 Empirical applications 307</p> <p>13.6.1 Black–Litterman portfolio optimization 307</p> <p>13.6.2 Copula opinion pooling 313</p> <p>13.6.3 Entropy pooling 318</p> <p>13.6.4 Protection strategies 324</p> <p>References 334</p> <p><b>14 Probabilistic utility 339</b></p> <p>14.1 Overview 339</p> <p>14.2 The concept of probabilistic utility 340</p> <p>14.3 Markov chain Monte Carlo 342</p> <p>14.3.1 Introduction 342</p> <p>14.3.2 Monte Carlo approaches 343</p> <p>14.3.3 Markov chains 347</p> <p>14.3.4 Metropolis–Hastings algorithm 349</p> <p>14.4 Synopsis of R packages 354</p> <p>14.4.1 Packages for conducting MCMC 354</p> <p>14.4.2 Packages for analyzing MCMC 358</p> <p>14.5 Empirical application 362</p> <p>14.5.1 Exemplary utility function 362</p> <p>14.5.2 Probabilistic versus maximized expected utility 366</p> <p>14.5.3 Simulation of asset allocations 369</p> <p>References 375</p> <p><b>Appendix A Package overview 378</b></p> <p>A.1 Packages in alphabetical order 378</p> <p>A.2 Packages ordered by topic 382</p> <p>References 386</p> <p><b>Appendix B Time series data 391</b></p> <p>B.1 Date/time classes 391</p> <p>B.2 The ts class in the base package stats 395</p> <p>B.3 Irregularly spaced time series 395</p> <p>B.4 The package timeSeries 397</p> <p>B.5 The package zoo 399</p> <p>B.6 The packages tframe and xts 401</p> <p>References 404</p> <p><b>Appendix C Back-testing and reporting of portfolio strategies 406</b></p> <p>C.1 R packages for back-testing 406</p> <p>C.2 R facilities for reporting 407</p> <p>C.3 Interfacing with databases 407</p> <p>References 408</p> <p><b>Appendix D Technicalities 411</b></p> <p>Reference 411</p> <p>Index 413</p>
<strong>Bernhard Eugen Heinrich Pfaff</strong>, Director, Invesco Asset Management Deutschland GmbH, Germany.

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