| Preface |
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xvii | |
| Preface to First Edition |
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xix | |
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Financial Time Series and Their Characteristics |
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1 | (23) |
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2 | (5) |
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Distributional Properties of Returns |
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7 | (13) |
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Review of Statistical Distributions and Their Moments |
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7 | (6) |
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13 | (3) |
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16 | (1) |
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Likelihood Function of Returns |
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17 | (1) |
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Empirical Properties of Returns |
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17 | (3) |
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20 | (4) |
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22 | (1) |
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23 | (1) |
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Linear Time Series Analysis and Its Applications |
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24 | (73) |
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25 | (1) |
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Correlation and Autocorrelation Function |
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25 | (6) |
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White Noise and Linear Time Series |
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31 | (1) |
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Simple Autoregressive Models |
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32 | (18) |
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33 | (7) |
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Identifying AR Models in Practice |
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40 | (6) |
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46 | (1) |
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47 | (3) |
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Simple Moving-Average Models |
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50 | (6) |
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51 | (1) |
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52 | (1) |
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53 | (1) |
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Forecasting Using MA Models |
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54 | (2) |
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56 | (8) |
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Properties of ARMA(1,1) Models |
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57 | (1) |
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58 | (1) |
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59 | (2) |
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Forecasting Using an ARMA Model |
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61 | (1) |
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Three Model Representations for an ARMA Model |
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62 | (2) |
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Unit-Root Nonstationarity |
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64 | (8) |
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64 | (1) |
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65 | (2) |
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Trend-Stationary Time Series |
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67 | (1) |
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General Unit-Root Nonstationary Models |
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67 | (1) |
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68 | (4) |
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72 | (8) |
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73 | (2) |
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Multiplicative Seasonal Models |
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75 | (5) |
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Regression Models with Time Series Errors |
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80 | (6) |
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Consistent Covariance Matrix Estimation |
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86 | (3) |
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89 | (8) |
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Appendix: Some SCA Commands |
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91 | (2) |
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93 | (3) |
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96 | (1) |
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Conditional Heteroscedastic Models |
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97 | (57) |
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Characteristics of Volatility |
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98 | (1) |
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99 | (2) |
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101 | (1) |
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101 | (1) |
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102 | (11) |
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Properties of ARCH Models |
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104 | (2) |
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Weaknesses of ARCH Models |
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106 | (1) |
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106 | (3) |
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109 | (4) |
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113 | (9) |
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116 | (5) |
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121 | (1) |
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A Two-Pass Estimation Method |
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121 | (1) |
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The Integrated GARCH Model |
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122 | (1) |
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123 | (1) |
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The Exponential GARCH Model |
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124 | (6) |
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An Alternative Model Form |
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125 | (1) |
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126 | (1) |
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126 | (2) |
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Forecasting Using an EGARCH Model |
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128 | (2) |
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The Threshold GARCH Model |
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130 | (1) |
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131 | (2) |
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Effects of Explanatory Variables |
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133 | (1) |
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Random Coefficient Autoregressive Models |
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133 | (1) |
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The Stochastic Volatility Model |
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134 | (1) |
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The Long-Memory Stochastic Volatility Model |
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134 | (2) |
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136 | (4) |
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140 | (5) |
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Use of High-Frequency Data |
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140 | (3) |
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Use of Daily Open, High, Low, and Close Prices |
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143 | (2) |
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145 | (9) |
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Appendix: Some RATS Programs for Estimating Volatility Models |
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147 | (1) |
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148 | (3) |
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151 | (3) |
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Nonlinear Models and Their Applications |
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154 | (52) |
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156 | (27) |
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156 | (1) |
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Threshold Autoregressive (TAR) Model |
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157 | (6) |
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Smooth Transition AR (STAR) Model |
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163 | (1) |
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164 | (3) |
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167 | (8) |
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Functional Coefficient AR Model |
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175 | (1) |
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Nonlinear Additive AR Model |
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176 | (1) |
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Nonlinear State-Space Model |
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176 | (1) |
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177 | (6) |
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183 | (8) |
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183 | (3) |
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186 | (4) |
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190 | (1) |
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191 | (1) |
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192 | (2) |
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192 | (1) |
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192 | (2) |
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194 | (12) |
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Appendix A: Some RATS Programs for Nonlinear Volatility Models |
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199 | (1) |
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Appendix B: S-Plus Commands for Neural Network |
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200 | (1) |
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200 | (2) |
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202 | (4) |
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High-Frequency Data Analysis and Market Microstructure |
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206 | (45) |
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207 | (3) |
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210 | (2) |
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Empirical Characteristics of Transactions Data |
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212 | (6) |
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218 | (7) |
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218 | (3) |
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221 | (4) |
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225 | (11) |
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227 | (2) |
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229 | (3) |
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232 | (4) |
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Nonlinear Duration Models |
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236 | (1) |
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Bivariate Models for Price Change and Duration |
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237 | (14) |
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Appendix A: Review of Some Probability Distributions |
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242 | (3) |
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Appendix B: Hazard Function |
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245 | (1) |
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Appendix C: Some RATS Programs for Duration Models |
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246 | (2) |
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248 | (2) |
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250 | (1) |
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Continuous-Time Models and Their Applications |
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251 | (36) |
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252 | (1) |
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Some Continuous-Time Stochastic Processes |
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252 | (4) |
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253 | (2) |
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Generalized Wiener Processes |
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255 | (1) |
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256 | (1) |
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256 | (5) |
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Review of Differentiation |
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256 | (1) |
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Stochastic Differentiation |
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257 | (1) |
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258 | (1) |
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259 | (2) |
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Distributions of Stock Prices and Log Returns |
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261 | (1) |
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Derivation of Black--Scholes Differential Equation |
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262 | (2) |
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Black--Scholes Pricing Formulas |
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264 | (8) |
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264 | (1) |
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264 | (3) |
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Lower Bounds of European Options |
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267 | (1) |
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268 | (4) |
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An Extension of Ito's Lemma |
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272 | (1) |
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273 | (1) |
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274 | (8) |
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Option Pricing Under Jump Diffusion |
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279 | (3) |
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Estimation of Continuous-Time Models |
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282 | (5) |
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Appendix A: Integration of Black--Scholes Formula |
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282 | (2) |
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Appendix B: Approximation to Standard Normal Probability |
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284 | (1) |
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284 | (1) |
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285 | (2) |
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Extreme Values, Quantile Estimation, and Value at Risk |
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287 | (52) |
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287 | (3) |
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290 | (4) |
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293 | (1) |
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293 | (1) |
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An Econometric Approach to VaR Calculation |
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294 | (4) |
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296 | (2) |
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298 | (3) |
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Quantile and Order Statistics |
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299 | (1) |
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300 | (1) |
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301 | (10) |
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Review of Extreme Value Theory |
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301 | (3) |
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304 | (3) |
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Application to Stock Returns |
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307 | (4) |
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Extreme Value Approach to VaR |
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311 | (7) |
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314 | (2) |
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316 | (1) |
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316 | (1) |
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317 | (1) |
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A New Approach Based on the Extreme Value Theory |
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318 | (21) |
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318 | (2) |
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320 | (2) |
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A New Approach to Modeling Extreme Values |
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322 | (2) |
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VaR Calculation Based on the New Approach |
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324 | (1) |
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An Alternative Parameterization |
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325 | (3) |
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Use of Explanatory Variables |
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328 | (1) |
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329 | (1) |
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330 | (5) |
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335 | (2) |
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337 | (2) |
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Multivariate Time Series Analysis and Its Applications |
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339 | (66) |
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Weak Stationarity and Cross-Correlation Matrices |
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340 | (9) |
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Cross-Correlation Matrices |
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340 | (1) |
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341 | (1) |
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Sample Cross-Correlation Matrices |
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342 | (4) |
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Multivariate Portmanteau Tests |
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346 | (3) |
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Vector Autoregressive Models |
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349 | (16) |
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Reduced and Structural Forms |
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349 | (2) |
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Stationarity Condition and Moments of a VAR(1) Model |
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351 | (2) |
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353 | (1) |
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354 | (8) |
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Impulse Response Function |
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362 | (3) |
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Vector Moving-Average Models |
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365 | (6) |
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371 | (5) |
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Marginal Models of Components |
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375 | (1) |
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Unit-Root Nonstationarity and Cointegration |
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376 | (4) |
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379 | (1) |
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380 | (10) |
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Specification of the Deterministic Function |
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382 | (1) |
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Maximum Likelihood Estimation |
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383 | (1) |
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384 | (1) |
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Forecasting of Cointegrated VAR Models |
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385 | (1) |
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385 | (5) |
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Threshold Cointegration and Arbitrage |
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390 | (15) |
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Multivariate Threshold Model |
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391 | (1) |
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392 | (1) |
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393 | (2) |
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Appendix A: Review of Vectors and Matrices |
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395 | (4) |
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Appendix B: Multivariate Normal Distributions |
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399 | (1) |
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Appendix C: Some SCA Commands |
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400 | (1) |
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401 | (1) |
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402 | (3) |
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Principal Component Analysis and Factor Models |
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405 | (38) |
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406 | (1) |
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Macroeconometric Factor Models |
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407 | (7) |
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408 | (4) |
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412 | (2) |
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Fundamental Factor Models |
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414 | (7) |
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414 | (6) |
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420 | (1) |
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Principal Component Analysis |
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421 | (5) |
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421 | (1) |
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422 | (4) |
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Statistical Factor Analysis |
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426 | (10) |
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428 | (1) |
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429 | (1) |
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430 | (6) |
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Asymptotic Principal Component Analysis |
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436 | (7) |
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Selecting the Number of Factors |
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437 | (1) |
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437 | (3) |
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440 | (1) |
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441 | (2) |
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Multivariate Volatility Models and Their Applications |
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443 | (47) |
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Exponentially Weighted Estimate |
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444 | (3) |
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Some Multivariate GARCH Models |
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447 | (7) |
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447 | (4) |
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451 | (3) |
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454 | (5) |
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454 | (1) |
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455 | (4) |
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GARCH Models for Bivariate Returns |
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459 | (12) |
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Constant-Correlation Models |
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459 | (5) |
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Time-Varying Correlation Models |
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464 | (6) |
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470 | (1) |
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Higher Dimensional Volatility Models |
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471 | (6) |
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Factor--Volatility Models |
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477 | (3) |
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480 | (2) |
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Multivariate t Distribution |
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482 | (8) |
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Appendix: Some Remarks on Estimation |
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483 | (5) |
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488 | (1) |
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489 | (1) |
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State-Space Models and Kalman Filter |
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490 | (53) |
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490 | (18) |
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493 | (2) |
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495 | (1) |
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Properties of Forecast Error |
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496 | (2) |
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498 | (3) |
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501 | (2) |
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503 | (1) |
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504 | (1) |
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505 | (3) |
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Linear State-Space Models |
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508 | (1) |
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509 | (14) |
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CAPM with Time-Varying Coefficients |
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510 | (2) |
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512 | (6) |
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518 | (1) |
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Linear Regression Models with ARMA Errors |
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519 | (2) |
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Scalar Unobserved Component Model |
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521 | (2) |
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Kalman Filter and Smoothing |
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523 | (8) |
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523 | (2) |
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State Estimation Error and Forecast Error |
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525 | (1) |
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526 | (2) |
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528 | (3) |
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531 | (1) |
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532 | (1) |
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533 | (10) |
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540 | (1) |
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541 | (2) |
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Markov Chain Monte Carlo Methods with Applications |
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543 | (58) |
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544 | (1) |
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545 | (2) |
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547 | (4) |
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547 | (1) |
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Conjugate Prior Distributions |
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548 | (3) |
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551 | (2) |
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551 | (1) |
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Metropolis--Hasting Algorithm |
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552 | (1) |
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552 | (1) |
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Linear Regression with Time Series Errors |
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553 | (5) |
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Missing Values and Outliers |
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558 | (7) |
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559 | (2) |
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561 | (4) |
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Stochastic Volatility Models |
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565 | (13) |
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Estimation of Univariate Models |
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566 | (5) |
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Multivariate Stochastic Volatility Models |
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571 | (7) |
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A New Approach to SV Estimation |
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578 | (10) |
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588 | (6) |
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594 | (3) |
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597 | (4) |
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597 | (1) |
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598 | (3) |
| Index |
|
601 | |