| Preface to the 2nd edition |
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xi | |
| Preface to the 1st edition |
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xiii | |
| Some Hints for Troubleshooting |
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xv | |
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1 Estimating Credit Scores with Logit |
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1 | (26) |
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Linking scores, default probabilities and observed default behavior |
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1 | (3) |
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Estimating logit coefficients in Excel |
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4 | (4) |
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Computing statistics after model estimation |
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8 | (2) |
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Interpreting regression statistics |
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10 | (2) |
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Prediction and scenario analysis |
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12 | (4) |
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Treating outliers in input variables |
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16 | (4) |
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Choosing the functional relationship between the score and explanatory variables |
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20 | (5) |
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25 | (1) |
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25 | (1) |
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25 | (1) |
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25 | (1) |
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26 | (1) |
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2 The Structural Approach to Default Prediction and Valuation |
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27 | (28) |
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Default and valuation in a structural model |
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27 | (3) |
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Implementing the Merton model with a one-year horizon |
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30 | (9) |
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30 | (5) |
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A solution using equity values and equity volatilities |
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35 | (4) |
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Implementing the Merton model with a T-year horizon |
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39 | (4) |
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43 | (1) |
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44 | (6) |
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50 | (2) |
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52 | (3) |
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52 | (1) |
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53 | (2) |
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55 | (28) |
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56 | (5) |
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61 | (2) |
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63 | (6) |
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Obtaining a generator matrix from a given transition matrix |
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69 | (2) |
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Confidence intervals with the binomial distribution |
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71 | (3) |
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Bootstrapped confidence intervals for the hazard approach |
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74 | (4) |
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78 | (1) |
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78 | (5) |
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78 | (5) |
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4 Prediction of Default and Transition Rates |
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83 | (32) |
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Candidate variables for prediction |
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83 | (2) |
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Predicting investment-grade default rates with linear regression |
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85 | (3) |
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Predicting investment-grade default rates with Poisson regression |
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88 | (6) |
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Backtesting the prediction models |
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94 | (5) |
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Predicting transition matrices |
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99 | (1) |
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Adjusting transition matrices |
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100 | (1) |
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Representing transition matrices with a single parameter |
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101 | (2) |
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Shifting the transition matrix |
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103 | (5) |
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Backtesting the transition forecasts |
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108 | (1) |
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108 | (2) |
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110 | (1) |
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110 | (5) |
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5 Prediction of Loss Given Default |
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115 | (16) |
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Candidate variables for prediction |
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115 | (4) |
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Instrument-related variables |
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116 | (1) |
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117 | (1) |
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118 | (1) |
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118 | (1) |
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119 | (1) |
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Regression analysis of LGD |
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120 | (3) |
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123 | (3) |
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126 | (1) |
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126 | (5) |
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6 Modeling and Estimating Default Correlations with the Asset Value Approach |
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131 | (18) |
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Default correlation, joint default probabilities and the asset value approach |
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131 | (2) |
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Calibrating the asset value approach to default experience: the method of moments |
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133 | (3) |
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Estimating asset correlation with maximum likelihood |
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136 | (8) |
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Exploring the reliability of estimators with a Monte Carlo study |
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144 | (3) |
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147 | (1) |
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147 | (2) |
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7 Measuring Credit Portfolio Risk with the Asset Value Approach |
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149 | (32) |
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A default-mode model implemented in the spreadsheet |
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149 | (3) |
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VBA implementation of a default-mode model |
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152 | (4) |
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156 | (4) |
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160 | (2) |
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Assessing Simulation Error |
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162 | (3) |
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Exploiting portfolio structure in the VBA program |
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165 | (3) |
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Dealing with parameter uncertainty |
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168 | (2) |
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170 | (9) |
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First extension Multi-factor model |
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170 | (1) |
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Second extension t-distributed asset values |
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171 | (2) |
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Third extension Random LGDs |
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173 | (2) |
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Fourth extension Other risk measures |
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175 | (2) |
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Fifth extension Multi-state modeling |
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177 | (2) |
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179 | (2) |
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8 Validation of Rating Systems |
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181 | (22) |
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Cumulative accuracy profile and accuracy ratios |
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182 | (3) |
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Receiver operating characteristic (ROC) |
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185 | (2) |
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Bootstrapping confidence intervals for the accuracy ratio |
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187 | (3) |
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Interpreting caps and ROCs |
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190 | (1) |
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191 | (1) |
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Testing the calibration of rating-specific default probabilities |
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192 | (3) |
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195 | (3) |
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Testing for missing information |
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198 | (3) |
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201 | (2) |
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9 Validation of Credit Portfolio Models |
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203 | (16) |
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Testing distributions with the Berkowitz test |
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203 | (4) |
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Example implementation of the Berkowitz test |
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206 | (1) |
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Representing the loss distribution |
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207 | (2) |
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Simulating the critical chi-square value |
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209 | (2) |
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Testing modeling details: Berkowitz on subportfolios |
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211 | (3) |
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214 | (2) |
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Scope and limits of the test |
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216 | (1) |
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217 | (2) |
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10 Credit Default Swaps and Risk-Neutral Default Probabilities |
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219 | (30) |
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Describing the term structure of default: PDs cumulative, marginal and seen from today |
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220 | (1) |
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From bond prices to risk-neutral default probabilities |
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221 | (11) |
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221 | (4) |
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225 | (7) |
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232 | (2) |
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Refining the PD estimation |
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234 | (3) |
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237 | (3) |
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239 | (1) |
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Estimating upfront CDS and the `Big Bang' protocol |
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240 | (1) |
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Pricing of a pro-rata basket |
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241 | (1) |
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242 | (1) |
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243 | (1) |
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243 | (4) |
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247 | (1) |
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247 | (2) |
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Deriving the hazard rate for a CDS |
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247 | (2) |
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11 Risk Analysis and Pricing of Structured Credit: CDOs and First-to-Default Swaps |
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249 | (36) |
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Estimating CDO risk with Monte Carlo simulation |
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249 | (4) |
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The large homogeneous portfolio (LHP) approximation |
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253 | (3) |
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Systemic risk of CDO tranches |
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256 | (3) |
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Default times for first-to-default swaps |
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259 | (4) |
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CDO pricing in the LHP framework |
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263 | (9) |
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Simulation-based CDO pricing |
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272 | (9) |
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281 | (1) |
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282 | (3) |
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Closed-form solution for the LHP model |
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282 | (1) |
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283 | (1) |
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Estimating PD structure from a CDS |
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284 | (1) |
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12 Basel II and Internal Ratings |
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285 | (14) |
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Calculating capital requirements in the Internal Ratings-Based (IRB) approach |
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285 | (3) |
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Assessing a given grading structure |
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288 | (6) |
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Towards an optimal grading structure |
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294 | (3) |
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297 | (2) |
| Appendix A1 Visual Basics for Applications (VBA) |
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299 | (8) |
| Appendix A2 Solver |
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307 | (6) |
| Appendix A3 Maximum Likelihood Estimation and Newton's Method |
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313 | (6) |
| Appendix A4 Testing and Goodness of Fit |
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319 | (6) |
| Appendix A5 User-defined Functions |
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325 | (8) |
| Index |
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333 | |