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Articles

Calibration of the purely T-dependent Black–Scholes implied volatility

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Pages 859-874 | Received 25 Mar 2012, Accepted 26 Apr 2013, Published online: 14 Jun 2013

References

  • McDonald RL. Derivatives markets. Addison Wesley; 2006.
  • Hein , T. 2005 . Some analysis of Tikhonov regularization for the inverse problem of option pricing in the price-dependent case . Zeitschrift für Analysis und ihre Anwendungen , 24 ( 3 ) : 593 – 609 .
  • Bouchouev , I. and Isakov , V. 1997 . The inverse problem of option pricing . Inverse Problems , 13 : L11 – L17 .
  • Bouchouev , I. and Isakov , V. 1999 . Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets . Inverse Problems , 15 : R95 – R116 .
  • Bouchouev , I. , Isakov , V. and Valdivia , N. 2002 . Recovery of volatility coefficient by linearization . Quantitative Finance , 2 : 257 – 263 .
  • Crépey , S. 2003 . Calibration of the local volatility in a generalized Black–Scholes model using Tikhonov regularization . SIAM Journal of Mathematical Analysis , 34 ( 5 ) : 1183 – 1206 .
  • Deng , Z-C , Yu , J.N. and Yang , L. 2008 . An inverse problem of determining the implied volatility in option pricing . Journal of Mathematical Analysis and Application , 340 : 16 – 31 .
  • Egger , H. , Hein , T. and Hofmann , B. 2006 . On decoupling of volatility smile and term structure in inverse option pricing . Inverse Problems , 22 : 1247 – 1259 .
  • Hein , T. and Hofmann , B. 2003 . On the nature of ill-posedness of an inverse problem arising in option pricing . Inverse Problems , 19 : 1319 – 1338 .
  • Hofmann B, Kramer R, On maximum entropy regularization for a specific inverse problem of option pricing, Preprint, Faculty of Math., Technical Univ. Chemnitz, Germany; 2005.
  • Kramer , R. and Mathé , P. 2008 . Modulus of continuity of Nemytskii operators with application to the problem of option pricing . Journal of Inverse and Ill-posed Problems , 16 ( 5 ) : 435 – 461 .
  • Kramer , R. and Richter , M. 2008 . Ill-posedness versus ill-conditioning-an example from inverse option pricing . Applicable Analysis , 87 ( 4 ) : 465 – 477 .
  • Lishang , J. and Youshan , T. 2001 . Identifying the volatility of underlying assets from option prices . Inverse Problems , 17 : 137 – 155 .
  • Zang , K. and Wang , S. 2009 . A computational scheme for uncertain volatility model in option pricing . Applied Numerical Mathematics , 59 : 1754 – 1767 .
  • Tikhonov A, Arsénine V. Méthodes de Résolution de Problèmes Mal posés, Édition Mir; 1974.
  • Baumeister J. Stable solution of inverse problems, Friedr. Vieweg & Son; 1987.
  • Chargory-Corona , J. and Ibarra-Valdez , C. 2006 . A note on Black–Scholes implied volatility . Physica A , 370 : 681 – 688 .
  • Engl , H.W. and Zou , J. 2000 . A new approach to convergence rate analysis for parameter identification in heat conduction . Inverse Problems , 16 : 1907 – 1923 .
  • Lu , L. and Yi , L. 2009 . Recovery implied volatility of underlying asset from European option price . Journal of Inverse and Ill-Posed Problems , 17 : 499 – 509 .
  • Robert AJ. Elementary calculus of financial mathematics. SIAM; 2009.

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