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Explicit density approximations for local volatility models using heat kernel expansions

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Publication:340130
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DOI10.1007/s11009-015-9463-6zbMath1349.35149OpenAlexW3121739172MaRDI QIDQ340130

Mohammad Hasan, M. Dambrine

Publication date: 11 November 2016

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-015-9463-6

zbMATH Keywords

heat kernel expansionCEV modellocal volatilityshort rate models


Mathematics Subject Classification ID

Derivative securities (option pricing, hedging, etc.) (91G20) Heat kernel (35K08)




Cites Work

  • Unnamed Item
  • The Pricing of Options and Corporate Liabilities
  • Analytical approximation of the transition density in a local volatility model
  • Option pricing with quadratic volatility: a revisit
  • Interest rate models -- theory and practice. With smile, inflation and credit
  • Two singular diffusion problems
  • Analysis, Geometry, and Modeling in Finance
  • Probability Distribution in the SABR Model of Stochastic Volatility
  • Asymptotic Implied Volatility at the Second Order with Application to the SABR Model
  • ASYMPTOTICS OF IMPLIED VOLATILITY IN LOCAL VOLATILITY MODELS
  • EXACT PRICING AND LARGE-TIME ASYMPTOTICS FOR THE MODIFIED SABR MODEL AND THE BROWNIAN EXPONENTIAL FUNCTIONAL
  • THE LARGE-MATURITY SMILE FOR THE SABR AND CEV-HESTON MODELS
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