05418nam 22006854a 450 991082752900332120240410061801.01-118-67333-61-280-27169-897866102716960-470-86345-5(CKB)1000000000244113(EBL)219703(OCoLC)56476683(SSID)ssj0000130611(PQKBManifestationID)11131743(PQKBTitleCode)TC0000130611(PQKBWorkID)10083330(PQKB)10947535(MiAaPQ)EBC219703(Au-PeEL)EBL219703(CaPaEBR)ebr10114028(CaONFJC)MIL27169(PPN)151034540(EXLCZ)99100000000024411320040209d2004 uy 0engur|n|---|||||txtccrCopula methods in finance[electronic resource] /Umberto Cherubini, Elisa Luciano, and Walter Vecchiato1st ed.Hoboken, NJ John Wiley & Sonsc20041 online resource (311 p.)Wiley finance seriesDescription based upon print version of record.0-470-86344-7 Includes bibliographical references (p. [281]-287 and index.Copula Methods in Finance; Contents; Preface; List of Common Symbols and Notations; 1 Derivatives Pricing, Hedging and Risk Management: The State of the Art; 1.1 Introduction; 1.2 Derivative pricing basics: the binomial model; 1.2.1 Replicating portfolios; 1.2.2 No-arbitrage and the risk-neutral probability measure; 1.2.3 No-arbitrage and the objective probability measure; 1.2.4 Discounting under different probability measures; 1.2.5 Multiple states of the world; 1.3 The Black-Scholes model; 1.3.1 Ito's lemma; 1.3.2 Girsanov theorem; 1.3.3 The martingale property; 1.3.4 Digital options1.4 Interest rate derivatives1.4.1 Affine factor models; 1.4.2 Forward martingale measure; 1.4.3 LIBOR market model; 1.5 Smile and term structure effects of volatility; 1.5.1 Stochastic volatility models; 1.5.2 Local volatility models; 1.5.3 Implied probability; 1.6 Incomplete markets; 1.6.1 Back to utility theory; 1.6.2 Super-hedging strategies; 1.7 Credit risk; 1.7.1 Structural models; 1.7.2 Reduced form models; 1.7.3 Implied default probabilities; 1.7.4 Counterparty risk; 1.8 Copula methods in finance: a primer; 1.8.1 Joint probabilities, marginal probabilities and copula functions1.8.2 Copula functions duality1.8.3 Examples of copula functions; 1.8.4 Copula functions and market comovements; 1.8.5 Tail dependence; 1.8.6 Equity-linked products; 1.8.7 Credit-linked products; 2 Bivariate Copula Functions; 2.1 Definition and properties; 2.2 Fréchet bounds and concordance order; 2.3 Sklar's theorem and the probabilistic interpretation of copulas; 2.3.1 Sklar's theorem; 2.3.2 The subcopula in Sklar's theorem; 2.3.3 Modeling consequences; 2.3.4 Sklar's theorem in financial applications: toward a non-Black-Scholes world; 2.4 Copulas as dependence functions: basic facts2.4.1 Independence2.4.2 Comonotonicity; 2.4.3 Monotone transforms and copula invariance; 2.4.4 An application: VaR trade-off; 2.5 Survival copula and joint survival function; 2.5.1 An application: default probability with exogenous shocks; 2.6 Density and canonical representation; 2.7 Bounds for the distribution functions of sum of r.v.s; 2.7.1 An application: VaR bounds; 2.8 Appendix; 3 Market Comovements and Copula Families; 3.1 Measures of association; 3.1.1 Concordance; 3.1.2 Kendall's τ; 3.1.3 Spearman's ρS; 3.1.4 Linear correlation; 3.1.5 Tail dependence3.1.6 Positive quadrant dependency3.2 Parametric families of bivariate copulas; 3.2.1 The bivariate Gaussian copula; 3.2.2 The bivariate Student's t copula; 3.2.3 The Fréchet family; 3.2.4 Archimedean copulas; 3.2.5 The Marshall-Olkin copula; 4 Multivariate Copulas; 4.1 Definition and basic properties; 4.2 Fréchet bounds and concordance order: the multidimensional case; 4.3 Sklar's theorem and the basic probabilistic interpretation: the multidimensional case; 4.3.1 Modeling consequences; 4.4 Survival copula and joint survival function4.5 Density and canonical representation of a multidimensional copulaCopula Methods in Finance is the first book to address the mathematics of copula functions illustrated with finance applications. It explains copulas by means of applications to major topics in derivative pricing and credit risk analysis. Examples include pricing of the main exotic derivatives (barrier, basket, rainbow options) as well as risk management issues. Particular focus is given to the pricing of asset-backed securities and basket credit derivative products and the evaluation of counterparty risk in derivative transactions.Wiley finance series.FinanceMathematical modelsFinanceMathematical models.332/.01/519535Cherubini Umberto118857Luciano Elisa117714Vecchiato Walter614209MiAaPQMiAaPQMiAaPQBOOK9910827529003321Copula methods in finance1129919UNINA