• Produktbild: Applied Diffusion Processes from Engineering to Finance
  • Produktbild: Applied Diffusion Processes from Engineering to Finance

Applied Diffusion Processes from Engineering to Finance

226,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Lieferung nach Hause

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

11.03.2013

Verlag

John Wiley & Sons Inc

Seitenzahl

416

Maße (L/B/H)

24,2/16,4/3 cm

Gewicht

747 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-84821-249-7

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

11.03.2013

Verlag

John Wiley & Sons Inc

Seitenzahl

416

Maße (L/B/H)

24,2/16,4/3 cm

Gewicht

747 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-84821-249-7

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

Kundinnen und Kunden meinen

0 Bewertungen

Informationen zu Bewertungen

Zur Abgabe einer Bewertung ist eine Anmeldung im Konto notwendig. Die Authentizität der Bewertungen wird von uns nicht überprüft. Wir behalten uns vor, Bewertungstexte, die unseren Richtlinien widersprechen, entsprechend zu kürzen oder zu löschen.

Die Bewertungen sind nach Format, Anzahl Sterne und Datum sortiert.

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kund*innen durch Ihre Meinung

Kundinnen und Kunden meinen

0 Bewertungen filtern

Die Leseprobe wird geladen.
  • Produktbild: Applied Diffusion Processes from Engineering to Finance
  • Produktbild: Applied Diffusion Processes from Engineering to Finance
  • Introduction xiii

    Chapter 1 Diffusion Phenomena and Models 1

    1.1 General presentation of diffusion process 1

    1.2 General balance equations 6

    1.3 Heat conduction equation 10

    1.4 Initial and boundary conditions 12

    Chapter 2 Probabilistic Models of Diffusion Processes 17

    2.1 Stochastic differentiation 17

    2.2 Itô's formula 19

    2.3 Stochastic differential equations (SDE) 24

    2.4 Itô and diffusion processes 28

    2.5 Some particular cases of diffusion processes 32

    2.6 Multidimensional diffusion processes 36

    2.7 The Stroock-Varadhan martingale characterization of diffusions (Karlin and Taylor) 41

    2.8 The Feynman-Kac formula (Platen and Heath) 42

    Chapter 3 Solving Partial Differential Equations of Second Order 47

    3.1 Basic definitions on PDE of second order 47

    3.2 Solving the heat equation 51

    3.3 Solution by the method of Laplace transform 65

    3.4 Green's functions 75

    Chapter 4 Problems in Finance 85

    4.1 Basic stochastic models for stock prices 85

    4.2 The bond investments 90

    4.3 Dynamic deterministic continuous time model for instantaneous interest rate 93

    4.4 Stochastic continuous time dynamic model for instantaneous interest rate 98

    4.5 Multidimensional Black and Scholes model 110

    Chapter 5 Basic PDE in Finance 111

    5.1 Introduction to option theory 111

    5.2 Pricing the plain vanilla call with the Black-Scholes-Samuelson model 115

    5.3 Pricing no plain vanilla calls with the Black-Scholes-Samuelson model 120

    5.4 Zero-coupon pricing under the assumption of no arbitrage 127

    Chapter 6 Exotic and American Options Pricing Theory 145

    6.1 Introduction 145

    6.2 The Garman-Kohlhagen formula 146

    6.3 Binary or digital options 149

    6.4 "Asset or nothing" options 150

    6.5 Numerical examples 152

    6.6 Path-dependent options 153

    6.7 Multi-asset options 157

    6.8 American options 165

    Chapter 7 Hitting Times for Diffusion Processes and Stochastic Models in Insurance 177

    7.1 Hitting or first passage times for some diffusion processes 177

    7.2 Merton's model for default risk 193

    7.3 Risk diffusion models for insurance 201

    Chapter 8 Numerical Methods 219

    8.1 Introduction 219

    8.2 Discretization and numerical differentiation 220

    8.3 Finite difference methods 222

    9.1 Nonlinear model in heat conduction 232

    Chapter 9 Advanced Topics in Engineering: Nonlinear Models 231

    9.2 Integral method applied to diffusive problems 233

    9.3 Integral method applied to nonlinear problems 239

    9.4 Use of transformations in nonlinear problems 243

    Chapter 10 Lévy Processes 255

    10.1 Motivation 255

    10.2 Notion of characteristic functions 257

    10.3 Lévy processes 257

    10.4 Lévy-Khintchine formula 259

    10.5 Examples of Lévy processes 261

    10.6 Variance gamma (VG) process 264

    10.7 The Brownian-Poisson model with jumps 266

    10.8 Risk neutral measures for Lévy models in finance 275

    10.9 Conclusion 276

    Chapter 11 Advanced Topics in Insurance: Copula Models and VaR Techniques 277              

    11.1 Introduction 277

    11.2 Sklar theorem (1959) 279

    11.3 Particular cases and Fréchet bounds 280

    11.4 Dependence 288

    11.5 Applications in finance: pricing of the bivariate digital put option 293

    11.6 VaR application in insurance 296

    Chapter 12 Advanced Topics in Finance: Semi-Markov Models 307

    12.1 Introduction 307

    12.2 Homogeneous semi-Markov process 308

    12.3 Semi-Markov option model 328

    12.4 Semi-Markov VaR models 332

    12.5 Conclusion 339

    Chapter 13 Monte Carlo Semi-Markov Simulation Methods 341

    13.1 Presentation of our simulation model 341

    13.2 The semi-Markov Monte Carlo model in a homogeneous environment 345

    13.3 A credit risk example 350

    13.4 Semi-Markov Monte Carlo with initial recurrence backward time in homogeneous case 362

    13.5 The SMMC applied to claim reserving problem 363

    13.6 An example of claim reserving calculation 366

    Conclusion 379

    Bibliography 381

    Index 393