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A Quick Algorithm for Pricing European Average Options

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Cited by:

  1. Edward P. C. Kao & Weiwei Xie, 2017. "Pricing spread options by generalized bivariate edgeworth expansion," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 4(02n03), pages 1-30, June.
  2. Xueping Wu & Jin Zhang, 1999. "Options on the minimum or the maximum of two average prices," Review of Derivatives Research, Springer, vol. 3(2), pages 183-204, May.
  3. Kijima, Masaaki & Wong, Tony, 2007. "Pricing of Ratchet equity-indexed annuities under stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 41(3), pages 317-338, November.
  4. João Pedro Vidal Nunes & Pedro Miguel Silva Prazeres, 2014. "Pricing Swaptions Under Multifactor Gaussian Hjm Models," Mathematical Finance, Wiley Blackwell, vol. 24(4), pages 762-789, October.
  5. Ping Wu & Robert J. Elliott, 2017. "A simple efficient approximation to price basket stock options with volatility smile," Annals of Finance, Springer, vol. 13(1), pages 1-29, February.
  6. Jianqiang Sun & Langnan Chen & Shiyin Li, 2013. "A Quasi‐Analytical Pricing Model for Arithmetic Asian Options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(12), pages 1143-1166, December.
  7. Sander Willems, 2018. "Asian Option Pricing with Orthogonal Polynomials," Papers 1802.01307, arXiv.org, revised Sep 2018.
  8. Lemmens, D. & Liang, L.Z.J. & Tempere, J. & De Schepper, A., 2010. "Pricing bounds for discrete arithmetic Asian options under Lévy models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5193-5207.
  9. Chad E. Hart & Bruce A. Babcock & Dermot J. Hayes, 2001. "Livestock Revenue Insurance," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 21(6), pages 553-580, June.
  10. Choi, Hyun-Woo & Kim, In Joon & Kim, Tong Suk, 2002. "Contingent claims valuation of optional calling plan contracts in telephone industry," International Review of Financial Analysis, Elsevier, vol. 11(4), pages 433-448.
  11. Yu, Fangping & Xiang, Zhiyuan & Wang, Xuanhe & Yang, Mo & Kuang, Haibo, 2023. "An innovative tool for cost control under fragmented scenarios: The container freight index microinsurance," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
  12. Tian, Yisong S., 2013. "Ironing out the kinks in executive compensation: Linking incentive pay to average stock prices," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 415-432.
  13. Bogdan Negrea & Bertrand Maillet & Emmanuel Jurczenko, 2002. "Revisited Multi-moment Approximate Option," FMG Discussion Papers dp430, Financial Markets Group.
  14. Allen Abrahamson, 2002. "All Moments of Discrete and Continuous Arithmetic Averages on Brownian Paths: A Closed Form," Finance 0205004, University Library of Munich, Germany.
  15. Jean-Guy Simonato, 2011. "Johnson binomial trees," Quantitative Finance, Taylor & Francis Journals, vol. 11(8), pages 1165-1176.
  16. Lim, Kian Guan & Nomikos, Nikos K. & Yap, Nelson, 2019. "Understanding the fundamentals of freight markets volatility," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 1-15.
  17. Devreese, J.P.A. & Lemmens, D. & Tempere, J., 2010. "Path integral approach to Asian options in the Black–Scholes model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 780-788.
  18. Мельников А.В. & Молибога М.М., 2003. "Расчеты Схем Гибкого Страхования," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 7(2), pages 139-172.
  19. Fusai, Gianluca & Meucci, Attilio, 2008. "Pricing discretely monitored Asian options under Levy processes," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2076-2088, October.
  20. Leunglung Chan & Song-Ping Zhu, 2014. "An exact and explicit formula for pricing Asian options with regime switching," Papers 1407.5091, arXiv.org.
  21. Peter G. Zhang, 1995. "An introduction to exotic options," European Financial Management, European Financial Management Association, vol. 1(1), pages 87-95, March.
  22. Susana Alvarez Diez & Samuel Baixauli & Luis Eduardo Girón, 2019. "Valoración de opciones call asiáticas Promedio Aritmético usando Taylor Estocástico 1.5," Working Papers 44, Faculty of Economics and Management, Pontificia Universidad Javeriana Cali.
  23. Calvet, Laurent E. & Célérier, Claire & Vallee, Boris, 2020. "Can Security Design Foster Household Risk-Taking?," CEPR Discussion Papers 14955, C.E.P.R. Discussion Papers.
  24. Bin Peng, 2006. "Pricing Geometric Asian Options under the CEV Process," International Economic Journal, Taylor & Francis Journals, vol. 20(4), pages 515-522.
  25. Eric Benhamou & Alexandre Duguet, 2000. "A 2 Dimensional Pde For Discrete Asian Options," Computing in Economics and Finance 2000 33, Society for Computational Economics.
  26. Keng‐Hsin Lo & Kehluh Wang & Ming‐Feng Hsu, 2008. "Pricing European Asian options with skewness and kurtosis in the underlying distribution," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(6), pages 598-616, June.
  27. Markus Diller & Thomas Späth & Johannes Lorenz, 2019. "Inheritance tax planning with uncertain future payroll expenses: an analytical solution to the optimal choice between full and standard exemption," Journal of Business Economics, Springer, vol. 89(5), pages 599-626, July.
  28. Wolfgang Drobetz & Tim Richter & Martin Wambach, 2012. "Dynamics of time-varying volatility in the dry bulk and tanker freight markets," Applied Financial Economics, Taylor & Francis Journals, vol. 22(16), pages 1367-1384, August.
  29. Pingping Zeng & Yue Kuen Kwok, 2016. "Pricing bounds and approximations for discrete arithmetic Asian options under time-changed Lévy processes," Quantitative Finance, Taylor & Francis Journals, vol. 16(9), pages 1375-1391, September.
  30. Asbjørn T. Hansen & Peter Løchte Jørgensen, 2000. "Analytical Valuation of American-Style Asian Options," Management Science, INFORMS, vol. 46(8), pages 1116-1136, August.
  31. Alziary, Benedicte & Decamps, Jean-Paul & Koehl, Pierre-Francois, 1997. "A P.D.E. approach to Asian options: analytical and numerical evidence," Journal of Banking & Finance, Elsevier, vol. 21(5), pages 613-640, May.
  32. Nielsen, J. Aase & Sandmann, Klaus, 2003. "Pricing Bounds on Asian Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(2), pages 449-473, June.
  33. Gormin A. A. & Kashtanov Y. N., 2008. "The weighted variance minimization for options pricing," Monte Carlo Methods and Applications, De Gruyter, vol. 13(5-6), pages 333-351, January.
  34. Renyuan Shao & Brian Roe, 2003. "The design and pricing of fixed‐ and moving‐window contracts: An application of Asian‐Basket option pricing methods to the hog‐finishing sector," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(11), pages 1047-1073, November.
  35. Ales Cerny & Ioannis Kyriakou, 2010. "An improved convolution algorithm for discretely sampled Asian options," Quantitative Finance, Taylor & Francis Journals, vol. 11(3), pages 381-389.
  36. Louis-Pierre Arguin & Nien-Lin Liu & Tai-Ho Wang, 2018. "Most-Likely-Path In Asian Option Pricing Under Local Volatility Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(05), pages 1-32, August.
  37. Paulson, Nicholas D. & Babcock, Bruce A. & Hart, Chad E. & Hayes, Dermot J., 2008. "An Insurance Approach to Risk Management in the Ethanol Industry," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 37(1), pages 1-12, April.
  38. Kwangil Bae, 2019. "Valuation and applications of compound basket options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(6), pages 704-720, June.
  39. Jean-Yves Datey & Genevieve Gauthier & Jean-Guy Simonato, 2003. "The Performance of Analytical Approximations for the Computation of Asian Quanto-Basket Option Prices," Multinational Finance Journal, Multinational Finance Journal, vol. 7(1-2), pages 55-82, March-Jun.
  40. Hideharu Funahashi & Masaaki Kijima, 2013. "An Extension of the Chaos Expansion Approximation for the Pricing of Exotic Basket Options ," KIER Working Papers 857, Kyoto University, Institute of Economic Research.
  41. Jacques Pézier & Johanna Scheller, 2012. "Average Portfolio Insurance Strategies," ICMA Centre Discussion Papers in Finance icma-dp2012-05, Henley Business School, University of Reading.
  42. Aase Nielsen, J. & Sandmann, Klaus, 1995. "Equity-linked life insurance: A model with stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 16(3), pages 225-253, July.
  43. Ioannis Kyriakou & Panos K. Pouliasis & Nikos C. Papapostolou & Nikos K. Nomikos, 2018. "Income uncertainty and the decision to invest in bulk shipping," European Financial Management, European Financial Management Association, vol. 24(3), pages 387-417, June.
  44. J. A. Nielsen & K. Sandmann, 1996. "The pricing of Asian options under stochastic interest rates," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(3), pages 209-236.
  45. Ting He, 2020. "Nonparametric Predictive Inference for Asian options," Papers 2008.13082, arXiv.org.
  46. Milevsky, Moshe A. & Salisbury, Thomas S., 2006. "Financial valuation of guaranteed minimum withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 21-38, February.
  47. Peter A. Tinsley, 1998. "Short rate expectations, term premiums, and central bank use of derivatives to reduce policy uncertainty," Finance and Economics Discussion Series 1999-14, Board of Governors of the Federal Reserve System (U.S.).
  48. Tommaso Paletta & Arturo Leccadito & Radu Tunaru, 2013. "Pricing and Hedging Basket Options with Exact Moment Matching," Papers 1312.4443, arXiv.org.
  49. Jiri Hoogland & Dimitri Neumann, 2001. "Tradable Schemes," Finance 0105003, University Library of Munich, Germany.
  50. Lin, Chung-Gee & Chang, Chia-Chang, 2020. "Approximate analytic solution for Asian options with stochastic volatility," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
  51. Wu, Yang-Che & Chung, San-Lin, 2010. "Catastrophe risk management with counterparty risk using alternative instruments," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 234-245, October.
  52. Chun-Sing Lau & Chi-Fai Lo, 2014. "The pricing of basket-spread options," Quantitative Finance, Taylor & Francis Journals, vol. 14(11), pages 1971-1982, November.
  53. Robert Dubil, 2004. "The Optimality of Multi-stage Venture Capital Financing: An Option-Theoretic Approach," Journal of Entrepreneurial Finance, Pepperdine University, Graziadio School of Business and Management, vol. 9(3), pages 1-14, Fall.
  54. Clouse James & Henderson Dale & Orphanides Athanasios & Small David H. & Tinsley P.A., 2003. "Monetary Policy When the Nominal Short-Term Interest Rate is Zero," The B.E. Journal of Macroeconomics, De Gruyter, vol. 3(1), pages 1-65, September.
  55. Paulson, Nicholas David, 2004. "Insuring uncertainty in value-added agriculture: ethanol," ISU General Staff Papers 2004010108000018198, Iowa State University, Department of Economics.
  56. Philippe Bertrand & Jean-Luc Prigent, 2015. "On Path-Dependent Structured Funds: Complexity Does Not Always Pay (Asian versus Average Performance Funds)," Finance, Presses universitaires de Grenoble, vol. 36(2), pages 67-105.
  57. Mondher Bellalah, 2009. "Derivatives, Risk Management & Value," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7175, January.
  58. Benjamin Jourdain & Mohamed Sbai, 2007. "Exact retrospective Monte Carlo computation of arithmetic average Asian options," Papers 0704.1433, arXiv.org, revised Feb 2010.
  59. Jin-Chuan Duan & Jean-Guy Simonato, 1998. "Empirical Martingale Simulation for Asset Prices," Management Science, INFORMS, vol. 44(9), pages 1218-1233, September.
  60. Ziming Dong & Dan Tang & Xingchun Wang, 2023. "Pricing vulnerable basket spread options with liquidity risk," Review of Derivatives Research, Springer, vol. 26(1), pages 23-50, April.
  61. George Chacko & Sanjiv Ranjan Das, 1997. "Average Interest," NBER Working Papers 6045, National Bureau of Economic Research, Inc.
  62. Kenji Kamizono & Takeaki Kariya & Regina Liu & Teruo Nakatsuma, 2004. "A New Control Variate Estimator for an Asian Option," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 11(2), pages 143-160, June.
  63. Chad E. Hart & Dermot J. Hayes & Bruce A. Babcock, 2006. "Insuring Eggs in Baskets: Should the Government Insure Individual Risks?," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 54(1), pages 121-137, March.
  64. Espen Gaarder Haug, 2021. "Asian options with zero cost-of-carry: EEX options on freight and iron ore futures," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 191-195, June.
  65. Boyle, Phelim & Broadie, Mark & Glasserman, Paul, 1997. "Monte Carlo methods for security pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1267-1321, June.
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  67. Jurczenko, Emmanuel & Maillet, Bertrand & Negrea, Bogdan, 2002. "Revisited multi-moment approximate option pricing models: a general comparison (Part 1)," LSE Research Online Documents on Economics 24950, London School of Economics and Political Science, LSE Library.
  68. Gobet, Emmanuel & Miri, Mohammed, 2014. "Weak approximation of averaged diffusion processes," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 475-504.
  69. Andrew Lyasoff, 2016. "Another look at the integral of exponential Brownian motion and the pricing of Asian options," Finance and Stochastics, Springer, vol. 20(4), pages 1061-1096, October.
  70. Louis-Pierre Arguin & Nien-Lin Liu & Tai-Ho Wang, 2017. "Most-likely-path in Asian option pricing under local volatility models," Papers 1706.02408, arXiv.org, revised Aug 2018.
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  89. Fusai, Gianluca & Marena, Marina & Roncoroni, Andrea, 2008. "Analytical pricing of discretely monitored Asian-style options: Theory and application to commodity markets," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2033-2045, October.
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