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Convolution copula econometrics [[electronic resource] /] / by Umberto Cherubini, Fabio Gobbi, Sabrina Mulinacci
| Convolution copula econometrics [[electronic resource] /] / by Umberto Cherubini, Fabio Gobbi, Sabrina Mulinacci |
| Autore | Cherubini Umberto |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (X, 90 p. 31 illus., 30 illus. in color.) |
| Disciplina | 332.015195 |
| Collana | SpringerBriefs in Statistics |
| Soggetto topico |
Statistics
Probabilities Econometrics Applied mathematics Engineering mathematics Statistics for Business, Management, Economics, Finance, Insurance Probability Theory and Stochastic Processes Statistical Theory and Methods Applications of Mathematics |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- The Dynamics of Economic Variables -- Estimation of Copula Models -- Copulas and Estimation of Markov Processes -- Copula-based Markov Processes: Estimation, Mixing Properties and Long-term Behavior -- Convolution-based Processes -- Application to Interest Rates. . |
| Record Nr. | UNINA-9910155297503321 |
Cherubini Umberto
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 [[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 |
| 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 | ||
| ||
Structured finance [[electronic resource] ] : the object oriented approach / / Umberto Cherubini, Giovanni Della Lunga
| Structured finance [[electronic resource] ] : the object oriented approach / / Umberto Cherubini, Giovanni Della Lunga |
| Autore | Cherubini Umberto |
| Pubbl/distr/stampa | Chichester, England ; ; Hoboken, NJ, : John Wiley & Sons, c2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina |
332.0285117
332.602855117 |
| Altri autori (Persone) | Della LungaGiovanni |
| Collana | Wiley finance series |
| Soggetto topico |
Structured notes (Securities)
Derivative securities Investment analysis - Mathematical models Financial engineering |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-119-20926-9
1-280-85604-1 9786610856046 0-470-51272-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Structured Finance; Contents; 1 Structured Finance: A Primer; 1.1 Introduction; 1.2 Arbitrage-free valuation and replicating portfolios; 1.3 Replicating portfolios for derivatives; 1.3.1 Linear derivatives; 1.3.2 Nonlinear derivatives; 1.4 No-arbitrage and pricing; 1.4.1 Univariate claims; 1.4.2 Multivariate claims; 1.5 The structuring process; 1.5.1 The basic objects; 1.5.2 Risk factors, moments and dimensions; 1.5.3 Risk management; 1.6 A tale of two bonds; 1.6.1 Contingent coupons and repayment plans; 1.6.2 Exposure to the risky asset; 1.6.3 Exposure to volatility; 1.6.4 Hedging
1.7 Structured finance and object-oriented programmingReferences and further reading; 2 Object-Oriented Programming; 2.1 Introduction; 2.2 What is OOP (object-oriented programming)?; 2.3 Analysis and design; 2.3.1 A simple example; 2.4 Modelling; 2.4.1 The Unified Modelling Language (UML); 2.4.2 An object-oriented programming language: Java; 2.5 Main ideas about OOP; 2.5.1 Abstraction; 2.5.2 Classes; 2.5.3 Attributes and operations: the Encapsulation principle; 2.5.4 Responsibilities; 2.5.5 Inheritance; 2.5.6 Abstract classes; 2.5.7 Associations; 2.5.8 Message exchanging; 2.5.9 Collections 2.5.10 PolymorphismReferences and further reading; 3 Volatility and Correlation; 3.1 Introduction; 3.2 Volatility and correlation: models and measures; 3.2.1 Implied information; 3.2.2 Parametric models; 3.2.3 Realized (cross)moments; 3.3 Implied probability; 3.4 Volatility measures; 3.4.1 Implied volatility; 3.4.2 Parametric volatility models; 3.4.3 Realized volatility; 3.5 Implied correlation; 3.5.1 Forex markets implied correlation; 3.5.2 Equity "average" implied correlation; 3.5.3 Credit implied correlation; 3.6 Historical correlation; 3.6.1 Multivariate GARCH 3.6.2 Dynamic correlation model3.7 Copula functions; 3.7.1 Copula functions: the basics; 3.7.2 Copula functions: examples; 3.7.3 Copulas and survival copulas; 3.7.4 Copula dualities; 3.8 Conditional probabilities; 3.9 Non-parametric measures; 3.10 Tail dependence; 3.11 Correlation asymmetry; 3.11.1 Correlation asymmetry: finance; 3.11.2 Correlation asymmetry: econometrics; 3.12 Non-exchangeable copulas; 3.13 Estimation issues; 3.14 Lévy processes; References and further reading; 4 Cash Flow Design; 4.1 Introduction; 4.2 Types of bonds; 4.2.1 Floaters and reverse floaters 4.2.2 Convertible bonds4.2.3 Equity-linked notes; 4.2.4 Inflation-linked bonds; 4.2.5 Asset-backed securities; 4.3 Time and scheduler issues; 4.3.1 Payment date conventions; 4.3.2 Day count conventions and accrual factors; 4.4 JScheduler; 4.4.1 Date handling in Java; 4.4.2 Data models; 4.4.3 Design patterns; 4.4.4 The Factory Method pattern; 4.5 Cash flow generator design; 4.5.1 UML's activity diagram; 4.5.2 An important guideline to the data model for derivatives: FpML; 4.5.3 UML's sequence diagram; 4.6 The cleg class; References and further reading; 5 Convertible Bonds; 5.1 Introduction 5.2 Object-oriented structuring process |
| Record Nr. | UNINA-9910143585403321 |
|
Cherubini Umberto
|
||
| Chichester, England ; ; Hoboken, NJ, : John Wiley & Sons, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Structured finance [[electronic resource] ] : the object oriented approach / / Umberto Cherubini, Giovanni Della Lunga
| Structured finance [[electronic resource] ] : the object oriented approach / / Umberto Cherubini, Giovanni Della Lunga |
| Autore | Cherubini Umberto |
| Pubbl/distr/stampa | Chichester, England ; ; Hoboken, NJ, : John Wiley & Sons, c2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina |
332.0285117
332.602855117 |
| Altri autori (Persone) | Della LungaGiovanni |
| Collana | Wiley finance series |
| Soggetto topico |
Structured notes (Securities)
Derivative securities Investment analysis - Mathematical models Financial engineering |
| ISBN |
1-119-20926-9
1-280-85604-1 9786610856046 0-470-51272-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Structured Finance; Contents; 1 Structured Finance: A Primer; 1.1 Introduction; 1.2 Arbitrage-free valuation and replicating portfolios; 1.3 Replicating portfolios for derivatives; 1.3.1 Linear derivatives; 1.3.2 Nonlinear derivatives; 1.4 No-arbitrage and pricing; 1.4.1 Univariate claims; 1.4.2 Multivariate claims; 1.5 The structuring process; 1.5.1 The basic objects; 1.5.2 Risk factors, moments and dimensions; 1.5.3 Risk management; 1.6 A tale of two bonds; 1.6.1 Contingent coupons and repayment plans; 1.6.2 Exposure to the risky asset; 1.6.3 Exposure to volatility; 1.6.4 Hedging
1.7 Structured finance and object-oriented programmingReferences and further reading; 2 Object-Oriented Programming; 2.1 Introduction; 2.2 What is OOP (object-oriented programming)?; 2.3 Analysis and design; 2.3.1 A simple example; 2.4 Modelling; 2.4.1 The Unified Modelling Language (UML); 2.4.2 An object-oriented programming language: Java; 2.5 Main ideas about OOP; 2.5.1 Abstraction; 2.5.2 Classes; 2.5.3 Attributes and operations: the Encapsulation principle; 2.5.4 Responsibilities; 2.5.5 Inheritance; 2.5.6 Abstract classes; 2.5.7 Associations; 2.5.8 Message exchanging; 2.5.9 Collections 2.5.10 PolymorphismReferences and further reading; 3 Volatility and Correlation; 3.1 Introduction; 3.2 Volatility and correlation: models and measures; 3.2.1 Implied information; 3.2.2 Parametric models; 3.2.3 Realized (cross)moments; 3.3 Implied probability; 3.4 Volatility measures; 3.4.1 Implied volatility; 3.4.2 Parametric volatility models; 3.4.3 Realized volatility; 3.5 Implied correlation; 3.5.1 Forex markets implied correlation; 3.5.2 Equity "average" implied correlation; 3.5.3 Credit implied correlation; 3.6 Historical correlation; 3.6.1 Multivariate GARCH 3.6.2 Dynamic correlation model3.7 Copula functions; 3.7.1 Copula functions: the basics; 3.7.2 Copula functions: examples; 3.7.3 Copulas and survival copulas; 3.7.4 Copula dualities; 3.8 Conditional probabilities; 3.9 Non-parametric measures; 3.10 Tail dependence; 3.11 Correlation asymmetry; 3.11.1 Correlation asymmetry: finance; 3.11.2 Correlation asymmetry: econometrics; 3.12 Non-exchangeable copulas; 3.13 Estimation issues; 3.14 Lévy processes; References and further reading; 4 Cash Flow Design; 4.1 Introduction; 4.2 Types of bonds; 4.2.1 Floaters and reverse floaters 4.2.2 Convertible bonds4.2.3 Equity-linked notes; 4.2.4 Inflation-linked bonds; 4.2.5 Asset-backed securities; 4.3 Time and scheduler issues; 4.3.1 Payment date conventions; 4.3.2 Day count conventions and accrual factors; 4.4 JScheduler; 4.4.1 Date handling in Java; 4.4.2 Data models; 4.4.3 Design patterns; 4.4.4 The Factory Method pattern; 4.5 Cash flow generator design; 4.5.1 UML's activity diagram; 4.5.2 An important guideline to the data model for derivatives: FpML; 4.5.3 UML's sequence diagram; 4.6 The cleg class; References and further reading; 5 Convertible Bonds; 5.1 Introduction 5.2 Object-oriented structuring process |
| Record Nr. | UNINA-9910830759303321 |
|
Cherubini Umberto
|
||
| Chichester, England ; ; Hoboken, NJ, : John Wiley & Sons, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Structured finance [[electronic resource] ] : the object oriented approach / / Umberto Cherubini, Giovanni Della Lunga
| Structured finance [[electronic resource] ] : the object oriented approach / / Umberto Cherubini, Giovanni Della Lunga |
| Autore | Cherubini Umberto |
| Pubbl/distr/stampa | Chichester, England ; ; Hoboken, NJ, : John Wiley & Sons, c2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina |
332.0285117
332.602855117 |
| Altri autori (Persone) | Della LungaGiovanni |
| Collana | Wiley finance series |
| Soggetto topico |
Structured notes (Securities)
Derivative securities Investment analysis - Mathematical models Financial engineering |
| ISBN |
1-119-20926-9
1-280-85604-1 9786610856046 0-470-51272-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Structured Finance; Contents; 1 Structured Finance: A Primer; 1.1 Introduction; 1.2 Arbitrage-free valuation and replicating portfolios; 1.3 Replicating portfolios for derivatives; 1.3.1 Linear derivatives; 1.3.2 Nonlinear derivatives; 1.4 No-arbitrage and pricing; 1.4.1 Univariate claims; 1.4.2 Multivariate claims; 1.5 The structuring process; 1.5.1 The basic objects; 1.5.2 Risk factors, moments and dimensions; 1.5.3 Risk management; 1.6 A tale of two bonds; 1.6.1 Contingent coupons and repayment plans; 1.6.2 Exposure to the risky asset; 1.6.3 Exposure to volatility; 1.6.4 Hedging
1.7 Structured finance and object-oriented programmingReferences and further reading; 2 Object-Oriented Programming; 2.1 Introduction; 2.2 What is OOP (object-oriented programming)?; 2.3 Analysis and design; 2.3.1 A simple example; 2.4 Modelling; 2.4.1 The Unified Modelling Language (UML); 2.4.2 An object-oriented programming language: Java; 2.5 Main ideas about OOP; 2.5.1 Abstraction; 2.5.2 Classes; 2.5.3 Attributes and operations: the Encapsulation principle; 2.5.4 Responsibilities; 2.5.5 Inheritance; 2.5.6 Abstract classes; 2.5.7 Associations; 2.5.8 Message exchanging; 2.5.9 Collections 2.5.10 PolymorphismReferences and further reading; 3 Volatility and Correlation; 3.1 Introduction; 3.2 Volatility and correlation: models and measures; 3.2.1 Implied information; 3.2.2 Parametric models; 3.2.3 Realized (cross)moments; 3.3 Implied probability; 3.4 Volatility measures; 3.4.1 Implied volatility; 3.4.2 Parametric volatility models; 3.4.3 Realized volatility; 3.5 Implied correlation; 3.5.1 Forex markets implied correlation; 3.5.2 Equity "average" implied correlation; 3.5.3 Credit implied correlation; 3.6 Historical correlation; 3.6.1 Multivariate GARCH 3.6.2 Dynamic correlation model3.7 Copula functions; 3.7.1 Copula functions: the basics; 3.7.2 Copula functions: examples; 3.7.3 Copulas and survival copulas; 3.7.4 Copula dualities; 3.8 Conditional probabilities; 3.9 Non-parametric measures; 3.10 Tail dependence; 3.11 Correlation asymmetry; 3.11.1 Correlation asymmetry: finance; 3.11.2 Correlation asymmetry: econometrics; 3.12 Non-exchangeable copulas; 3.13 Estimation issues; 3.14 Lévy processes; References and further reading; 4 Cash Flow Design; 4.1 Introduction; 4.2 Types of bonds; 4.2.1 Floaters and reverse floaters 4.2.2 Convertible bonds4.2.3 Equity-linked notes; 4.2.4 Inflation-linked bonds; 4.2.5 Asset-backed securities; 4.3 Time and scheduler issues; 4.3.1 Payment date conventions; 4.3.2 Day count conventions and accrual factors; 4.4 JScheduler; 4.4.1 Date handling in Java; 4.4.2 Data models; 4.4.3 Design patterns; 4.4.4 The Factory Method pattern; 4.5 Cash flow generator design; 4.5.1 UML's activity diagram; 4.5.2 An important guideline to the data model for derivatives: FpML; 4.5.3 UML's sequence diagram; 4.6 The cleg class; References and further reading; 5 Convertible Bonds; 5.1 Introduction 5.2 Object-oriented structuring process |
| Record Nr. | UNINA-9910841193503321 |
|
Cherubini Umberto
|
||
| Chichester, England ; ; Hoboken, NJ, : John Wiley & Sons, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||