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A General Asymptotic Implied Volatility for Stochastic Volatility Models
8 references·16 citing·34 second hop
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References

  • 1973The Pricing of Options and Corporate Liabilities29,064 cited
  • 1993A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options8,768 cited
  • 1987The Pricing of Options on Assets with Stochastic Volatilities3,864 cited
  • 1987The Pricing of Options on Assets with Stochastic Volatilities1,179 cited
  • 2002Option valuation under stochastic volatility: with mathematica code228 cited
  • 2004Computing the implied volatility in stochastic volatility models222 cited
  • 2002Asymptotics and calibration of local volatility models203 cited
  • 1999Equivalent Black volatilities133 cited

Cited by

  • 2015Asymptotic Implied Volatility at the Second Order with Application to the SABR Model77 cited
  • 2008Local volatility dynamic models76 cited
  • 2009Smart expansion and fast calibration for jump diffusions73 cited
  • 2017Explicit implied volatilities for multifactor local-stochastic volatility models72 cited
  • 2010Short-Maturity Asymptotics for a Fast Mean-Reverting Heston Stochastic Volatility Model68 cited
  • 2012Small-time asymptotics for fast mean-reverting stochastic volatility models65 cited
  • 2014Hermite polynomial based expansion of European option prices

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62 cited
  • 2011Implied Volatility Surface: Construction Methodologies and Characteristics61 cited
  • 2011Analytical Approximation of the Transition Density in a Local Volatility Model61 cited
  • 2010Asymptotic formulae for implied volatility in the Heston model58 cited
  • 2010EXPANSION FORMULAS FOR EUROPEAN OPTIONS IN A LOCAL VOLATILITY MODEL49 cited
  • 2008On Black‐Scholes Implied Volatility at Extreme Strikes43 cited
  • 2011A GENERAL COMPUTATION SCHEME FOR A HIGH-ORDER ASYMPTOTIC EXPANSION METHOD41 cited
  • 2011Small-Time Asymptotics for an Uncorrelated Local-Stochastic Volatility Model39 cited
  • 2009Computation in an Asymptotic Expansion Method36 cited
  • 2011Closed-Form Asymptotics and Numerical Approximations of 1D Parabolic Equations with Applications to Option Pricing32 cited