General Lower Bounds for Arithmetic Asian Option Prices

References

• Albrecher , H. , Dhaene , J. , Goovaerts , M. and Schoutens , W. 2005 . Static hedging of Asian options under Lévy models. . Journal of Derivatives , 12 : 63 – 72 .
   Google Scholar
• Albrecher , H. and Schoutens , W. 2005 . “ Static hedging of Asian options under stochastic volatility models using fast Fourier transform. ” . In Exotic Options and Advanced Lévy Models Edited by: Kyprianou , A . 129 – 148 .
   Google Scholar
• Bertsimas , D. and Popescu , I. 2002 . On the relation between option and stock prices: a convex optimization approach. . Operations Research , 50 (2) : 358 – 374 .
   Web of Science ®Google Scholar
• Breeden , D. T. and Litzenberger , R. H. 1978 . Prices of state‐contingent claims implicit in option prices. . Journal of Business , 51 (4) : 621 – 651 .
   Google Scholar
• Brown , H. , Hobson , D. and Rogers , L. C. G. 2001 . Robust hedging of barrier options. . Mathematical Finance , : 285 – 314 .
   Web of Science ®Google Scholar
• Carr , P. and Chou , A. 1997 . Breaking barriers. . Risk , 10 : 139 – 145 .
   Google Scholar
• Carr , P. and Madan , D. B. 1998 . Option valuation using the fast Fourier transform. . Journal of Computational Finance , 2 : 61 – 73 .
   Google Scholar
• Chen , X. , Deelstra , G. , Dhaene , J. and Vanmaele , M. 2008 . “ Static Super‐Replicating Strategies for a Class of Exotic Options. ” . Preprint. KU: Leuven
   Google Scholar
• Curran , M. 1994 . Valuing Asian and portfolio options by conditioning on the geometric mean price. . Management Science , 40 (12) : 1705 – 1711 .
   Web of Science ®Google Scholar
• Davis , M. , Schachermayer , W. and Tompkins , R. 2002 . Installment options and static hedging. . Risk Finance , 3 (2) : 46 – 52 .
   Google Scholar
• Dhaene , J. , Denuit , M. , Goovaerts , M. J. , Kaas , R. and Vyncke , D. 2002 . The concept of comonotonicity in actuarial science and finance: applications. . Insurance: Mathematics & Economics , 31 (2) : 133 – 161 .
   Web of Science ®Google Scholar
• Dhaene , J. , Denuit , M. , Goovaerts , M. J. , Kaas , R. and Vyncke , D. 2002 . The concept of comonotonicity in actuarial science and finance: theory. . Insurance: Mathematics & Economics , 31 (1) : 3 – 33 .
   Web of Science ®Google Scholar
• Duffie , D. , Pan , J. and Singleton , K. 2000 . Transform analysis and asset pricing for affine jump‐diffusions. . Econometrica , 68 : 1343 – 1376 .
   Web of Science ®Google Scholar
• Hobson , D. 1998 . Robust hedging of the lookback option. . Finance and Stochastics , 2 : 329 – 347 .
   Google Scholar
• Hobson , D. , Laurence , P. and Wang , T.‐H. 2005a . Static‐arbitrage upper bounds for the prices of basket options. . Quantative Finance , 5 (4) : 329 – 342 .
   Web of Science ®Google Scholar
• Hobson , D. , Laurence , P. and Wang , T.‐H. 2005b . Static‐arbitrage optimal subreplicating strategies for basket options. . Insurance: Mathematics and Economics , 37 (3) : 553 – 572 .
   Web of Science ®Google Scholar
• Jacod , J. and Protter , P. 1988 . Time reversal on Lévy processes. . The Annals of Probability , 16 (2) : 620 – 641 .
   Web of Science ®Google Scholar
• Ju , N. 2002 . Pricing Asian and basket options via Taylor expansion. . Journal of Computational Finance , 5 (3) : 79 – 103 .
   Google Scholar
• Klassen , T. R. 2001 . Simple, fast and flexible pricing of Asian options. . Journal of Computational Finance , 4 (3) : 89 – 124 .
   Google Scholar
• Lord , R. 2005 . “ Partially exact and bounded approximations for arithmetic Asian options. ” . Working paper, Erasmus University, Rotterdam
   Google Scholar
• Madan , D. B. , Carr , P. and Chang , E. C. 1998 . The variance gamma process and option pricing. . European Finance Review , 2 : 79 – 105 .
   Google Scholar
• Nielsen , J. A. and Sandmann , K. 2003 . Pricing bounds on Asian options. . Journal of Financial and Quantitative Analysis , 38 (2) : 449 – 473 .
   Web of Science ®Google Scholar
• Rogers , L. C. G. and Shi , Z. 1995 . The value of an Asian option. . Journal of Applied Probability , 32 : 1077 – 1088 .
   Web of Science ®Google Scholar
• Schoutens , W. 2003 . Lévy Processes in Finance
   Google Scholar
• Simon , S. , Goovaerts , M. J. and Dhaene , D. 2000 . An easy computable upper bound for the price of an arithmetic Asian option. . Insurance: Mathematics & Economics , 26 : 175 – 184 .
   Web of Science ®Google Scholar
• Thompson , G. W. P. 1999 . “ Fast narrow bounds on the price of Asian options. ” . Working paper, Judge Buisness School, Cambridge
   Google Scholar
• Vanmaele , M. , Deelstra , G. , Liinev , J. , Dhaene , J. and Goovaerts , M. J. 2006 . Bounds for the price of discrete arithmetic Asian options. . Journal of Computational and Applied Mathematics , 185 : 51 – 90 .
   Web of Science ®Google Scholar
• Večeř , J. 2002 . Unified Asian pricing. . RISK Magazine , 15 (6) : 113 – 116 .
   Google Scholar
• Večeř , J. and Xu , M. 2004 . Pricing Asian options in a semimartingale model. . Quantitative Finance , 4 (2) : 170 – 175 .
   Web of Science ®Google Scholar
• Vorst , T. 1992 . Prices and hedge ratios of average exchange rate options. . International Review of Financial Analysis , 1 (3) : 179 – 193 .
   Google Scholar