Fitting Local Volatility: Analytic And Numerical Approaches In Black-scholes And Local Variance Gamma Models

af


Fitting Local Volatility: Analytic And Numerical Approaches In Black-scholes And Local Variance Gamma Models
Du sparer Spar kr. 60,00 med Saxo Premium
  • Leveringstid 4-6 hverdage
  • Forventet levering 03-02-2020
Hvis du køber til medlemspris, bliver du automatisk medlem af Saxo Premium. De første 30 dage er gratis, derefter koster det 99,-/md. Medlemskabet fornyes automatisk og kan altid opsiges. Læs mere om alle fordelene her.
Format:
Bog, hardback
Udgivelsesdato:
01-01-2020
Sprog:
Engelsk
Sidetal:
200
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

The concept of local volatility as well as the local volatility model are one of the classical topics of mathematical finance. Although the existing literature is wide, there still exist various problems that have not drawn sufficient attention so far, for example: a) construction of analytical solutions of the Dupire equation for an arbitrary shape of the local volatility function; b) construction of parametric or non-parametric regression of the local volatility surface suitable for fast calibration; c) no-arbitrage interpolation and extrapolation of the local and implied volatility surfaces; d) extension of the local volatility concept beyond the Black-Scholes model, etc. Also, recent progresses in deep learning and artificial neural networks as applied to financial engineering have made it reasonable to look again at various classical problems of mathematical finance including that of building a no-arbitrage local/implied volatility surface and calibrating it to the option market data.This book was written with the purpose of presenting new results previously developed in a series of papers and explaining them consistently, starting from the general concept of Dupire, Derman and Kani and then concentrating on various extensions proposed by the author and his co-authors. This volume collects all the results in one place, and provides some typical examples of the problems that can be efficiently solved using the proposed methods. This also results in a faster calibration of the local and implied volatility surfaces as compared to standard approaches.The methods and solutions presented in this volume are new and recently published, and are accompanied by various additional comments and considerations. Since from the mathematical point of view, the level of details is closer to the applied rather than to the abstract or pure theoretical mathematics, the book could also be recommended to graduate students with majors in computational or quantitative finance, financial engineering or even applied mathematics. In particular, the author used to teach some topics of this book as a part of his special course on computational finance at the Tandon School of Engineering, New York University.

Vis mereVis mindre

Udgivelsesdato:
01-01-2020
ISBN13:
9789811212765
Vægt:
449 g
Dybde:
13 mm
Bredde:
152 mm
Højde:
229 mm
Format:
Hardback
Forfattere

Vis mereVis mindre

Vis mereVis mindre

Fandt du ikke hvad du søgte?

Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.

Velkommen til Saxo - din danske boghandel!

Hos os kan du handle som Gæst, Saxo-bruger eller Saxo Premium-medlem. Du bestemmer selv, og vores kundeservice sidder altid klar med hjælp.

Om medlemspriser hos Saxo

Hvis du køber til medlemspris, bliver du automatisk medlem og får del i de mange fede fordele. De første 30 dage er gratis for nye brugere, og derefter koster det kun 99,-/md. Medlemskabet fornyes automatisk, og du kan altid opsige det. Læs mere om fordelene ved Saxo Premium her.

Machine Name: SAXO032