期刊文献+

跳跃-扩散模型下亚式期权的定价 被引量:6

Pricing Asian Option under the Jump-diffusion Model
原文传递
导出
摘要 研究不完备市场中,当标的资产的价格出现不连续跳跃时,亚式期权的定价问题。推导出当标的资产的价格服从跳跃-扩散过程时,具有固定敲定价格算术平均亚式期权的价格下界公式,并通过数值计算验证了该下界公式可以近似作为亚式期权的定价公式。 In this paper,we study the pricing of Asianoption in incomplete market as the price of underlying asset varieswith discontinuous jump.When the price of underlying asset follows ajump-diffusion process,we derive the lower-bound formula of pricefor arithmetic average Asian option with fixed strike price. Numerical calculation result confirms that the lower-bound formula can be used approximately as Asian option pricingformula by numerical calculation.
出处 《系统工程》 CSSCI CSCD 北大核心 2010年第12期96-99,共4页 Systems Engineering
基金 教育部人文社会科学基金规划项目(07JA630048)
关键词 亚式期权 定价公式 价格下界 跳跃-扩散 Asian Option Pricing Formula Lower-bound Formula of Price Jump-diffusion
  • 相关文献

参考文献12

  • 1Cox J, et al. Option pricing: A simplified approach [J]. Journal of Finance Economics, 1979,7 (2) : 229 -263. 被引量:1
  • 2Rogers L, Shi Z. The value of an Asian option [J].Journal of Applied Probability, 1995, 32:1077 1088. 被引量:1
  • 3Kemna A, Vorst A. A pricing method for options based on average asset values[J].Journal of Banking and Finanee, 1990,14 : 113 - 129. 被引量:1
  • 4Barraquand J, Pudet T. Pricing of American pathdependent contingent claims[J]. Mathematical Finance, 1996,3(1): 17-51. 被引量:1
  • 5Chen K W, Lyuu Y D. Accurate pricing formulas for Asian options[J]. Applied Mathematics and Com- putation, 2007,188:1711 - 1724. 被引量:1
  • 6罗伯特.L.麦克唐纳.衍生产品市场[M].北京:中国人民大学出版社,2006. 被引量:1
  • 7Rama C, Peter T. Financial modeling with jump processes[M]. London: Chapman & Hall / CRC Financial Mathematics Series, 2004. 被引量:1
  • 8Merton R. Option pricing when underlying stock returns are discontinuous [J].J. Financial Economics, 1976,3 : 125- 144. 被引量:1
  • 9Fusai G, Meucei A. Pricing discretely monitored Asian options under Levy processes[J]. Journal of Banking & Finance, 2008,32 : 2076- 2088. 被引量:1
  • 10Kim K I, Qian X S. Convergence of the binomial tree method for Asian options in jump-diffusion models[J].J. Math. Anal. Appl. ,2007,330:10-23. 被引量:1

二级参考文献12

  • 1Cox J C, Ross S A, Rubinstein M. Option pricing: A simple approach[ J ]. Journal of Finance Economics, 1979, 7 (2) : 229-263. 被引量:1
  • 2Barraquand J P. Pricing of American path-dependent contingent claims[J]. Mathematical Finance, 1996, 3 (1) : 17-51. 被引量:1
  • 3Shreve S, Vecer J. Options on a trade account: Vacation calls, vacation puts and passport options[J]. Finance and Stochastics, 2000, 8(4) : 255-274. 被引量:1
  • 4Hoogland J. Neumann D. Local scale Invariance and contingent claim pricing[ J]. International Journal of Theoretical and Applied Finance, 2001, 4(1): 1-21. 被引量:1
  • 5Long J. The numeraire portfolio[J]. Journal of Financial Economics, 1990, 26( 1 ) : 29-69. 被引量:1
  • 6Merton R. An intertemporal capital asset pricing model[ J]. Econometrica, 1973, 10(5) : 467-888. 被引量:1
  • 7Jeanblance P, Pontier M. Optimal portfolio for a small investor in a market model with discontinuous prices [ J ]. Appl. Math. Optim, 1990, 9(5) : 287-310. 被引量:1
  • 8Mercurio F. Option pricing for jump diffusion. Approximations and their imterpreation[ J]. Mathematical Finance, 1993, 9 (6) : 191-20. 被引量:1
  • 9Musiela M, Rutkowski M. Martingale Methods in Financial Modeling[M]. New York: Springer-Verlag, 1998. 被引量:1
  • 10Kallianpur G, Xiong J. Asset pricing with stochastic volatility[J]. Appl. Math. Optim., 2001, 12(8) : 47-62. 被引量:1

共引文献20

同被引文献49

  • 1胡素华,张世英,张彤.资产价格的抛物线跳跃扩散模型[J].系统工程理论与实践,2006,26(3):1-10. 被引量:7
  • 2罗庆红,杨向群.几何型亚式期权的定价研究[J].湖南文理学院学报(自然科学版),2007,19(1):5-7. 被引量:11
  • 3Black F, Scholes M. The pricing of options andcorporate liabilities[J]. Journal of Political Economy,1973,81(3):637-655. 被引量:1
  • 4Merton R C. An intertemporal capital asset pricingmodel[J]. Econometrica,1973,41(5):867-887. 被引量:1
  • 5Jarrow R A,Rosenfeld E R. Jump risks and theintertemporal capital asset pricing model[J]. Journalof Business,1984,57(3):337-351. 被引量:1
  • 6Cox J C,Ross S A. The pricing of options for jumpprocesses [Z]. Wharton Working Paper, 1975,No. 2-75,University of Pennsylvania. 被引量:1
  • 7Bardhan I, Chao X. Martingale analysis for assetswith discontinuous returns [ J ]. Mathematics ofOperations Research,1995-20(1):243-256. 被引量:1
  • 8Aase K K. Contingent claim valuation when thesecurity price is a combination of an Ito process and arandom point process [J]. Stochastic Processes andTheir Applications, 1988,28 (2 ):}85-220. 被引量:1
  • 9Amin K. Jump diffusion option valuation in discretetime[J]. J. Finance,1993,48(5): 1833-1863. 被引量:1
  • 10Scott L O. Pricing stock options in a jump-diffusionmodel with stochastic volatility and interest rates:Applications of Fourier inversion method [ J ].Mathematical Finance’1997,7(4):413-426. 被引量:1

引证文献6

二级引证文献22

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部