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Copula methods in finance [[electronic resource] /] / Umberto Cherubini, Elisa Luciano, and Walter Vecchiato
| Copula methods in finance [[electronic resource] /] / Umberto Cherubini, Elisa Luciano, and Walter Vecchiato |
| Autore | Cherubini Umberto |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley & Sons, c2004 |
| Descrizione fisica | 1 online resource (311 p.) |
| Disciplina | 332/.01/519535 |
| Altri autori (Persone) |
LucianoElisa
VecchiatoWalter |
| Collana | Wiley finance series |
| Soggetto topico | Finance - Mathematical models |
| ISBN |
1-118-67333-6
1-280-27169-8 9786610271696 0-470-86345-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 options
1.4 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 functions 1.8.2 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 facts 2.4.1 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 dependence 3.1.6 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 function 4.5 Density and canonical representation of a multidimensional copula |
| Record Nr. | UNINA-9910145018903321 |
Cherubini Umberto
|
||
| Hoboken, NJ, : John Wiley & Sons, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Copula methods in finance / / Umberto Cherubini, Elisa Luciano, and Walter Vecchiato
| Copula methods in finance / / Umberto Cherubini, Elisa Luciano, and Walter Vecchiato |
| Autore | Cherubini Umberto |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley & Sons, c2004 |
| Descrizione fisica | 1 online resource (311 p.) |
| Disciplina | 332/.01/519535 |
| Altri autori (Persone) |
LucianoElisa
VecchiatoWalter |
| Collana | Wiley finance series |
| Soggetto topico | Finance - Mathematical models |
| ISBN |
1-118-67333-6
1-280-27169-8 9786610271696 0-470-86345-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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 options
1.4 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 functions 1.8.2 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 facts 2.4.1 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 dependence 3.1.6 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 function 4.5 Density and canonical representation of a multidimensional copula |
| Record Nr. | UNINA-9910827529003321 |
|
Cherubini Umberto
|
||
| Hoboken, NJ, : John Wiley & Sons, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Risk Analysis and Portfolio Modelling / David Allen, Elisa Luciano
| Risk Analysis and Portfolio Modelling / David Allen, Elisa Luciano |
| Autore | Allen David |
| Pubbl/distr/stampa | Basel, Switzerland : , : MDPI, , 2019 |
| Descrizione fisica | 1 electronic resource (224 p.) |
| Soggetto non controllato |
risk assessment
mortgage portfolio insider trade contagion effect risk capital liquidity risk hedonic modeling rolling wavelet correlation inverse coefficient of variation exchange traded funds sovereign risk/debt securitized real estate and local stock markets portfolio optimization portfolio analysis risk premium performance measurement risk analysis contagion outperformance probability Sharpe ratio probability of default small and medium enterprises RAROC sovereign defaults risk attribution multiresolution analysis credit ratings debt maturity structure herding asset-backed securities modern portfolio theory housing segments analytic hierarchy process African countries Asian firms decentralization credit scoring dependence mutual funds spillover effect capital allocation copulas matched filter institutional holding crop insurance factor investing wavelet coherence and phase difference risk value-at-risk rearrangement algorithm |
| ISBN |
9783039216253
3039216252 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910367752303321 |
|
Allen David
|
||
| Basel, Switzerland : , : MDPI, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||