上海交通大学学报(自然版) ›› 2012, Vol. 46 ›› Issue (05): 825-831.
胡文伟1,李湛2
出版日期:
2012-05-28
发布日期:
2012-05-28
HU Wen-Wei-1, LI Zhan-2
Online:
2012-05-28
Published:
2012-05-28
摘要: 运用二叉树方法建立了障碍期权与标准期权之间的价差分析模型,并分析了影响价差的若干关键因素.结果表明,障碍期权的价值低于对应的标准期权;对于下降敲出看涨期权,若障碍值或行权价越高、有效期越长、标的物的价格越低、其期望收益率越小、波动率越大,则障碍期权与标准期权的价差越大. 关键词:
中图分类号:
胡文伟1, 李湛2. 基于二叉树方法的障碍期权与标准期权价差分析模型[J]. 上海交通大学学报(自然版), 2012, 46(05): 825-831.
HU Wen-Wei-1, LI Zhan-2. Pricing Value Difference between Barrier and Vanilla Options with Binomial Pricing Method[J]. Journal of Shanghai Jiaotong University, 2012, 46(05): 825-831.
[1]姜礼尚. 期权定价的数学模型和方法[M]. 北京: 高等教育出版社, 2003: 248255.[2]Carr P. Two extensions to barrier option valuation [J]. Applied Mathematical Finance, 1995, 2(3): 173209.[3]Haug E. The complete guide to option pricing formulas [M]. USA: McGraw Hill, 1998.[4]丁华, 高莉莉, 蔡愫颖. CEV模型下平方障碍期权定价的数值算法[J]. 海南师范大学学报: 自然科学版, 2010, 23 (3): 245248.DING Hua, GAO Lili, CAI Suying. Numberical solution for barrier power option following constant elasticity of variance model [J]. Journal of Hainan Normal University: Natural Science, 2010, 23(3): 245248.[5]马黎政, 金朝嵩. 连续支付红利的美式障碍期权定价的数值方法[J]. 经济数学, 2005(3): 248253.MA Lizheng, JIN Chaosong. Numerical method for pricing American barrier option with continuous bonus paying [J]. Mathematics in Economics, 2005(3): 248253.[6]Hull J C. Options, futures, and other derivatives [M]. 6th Edition. USA: Prentice Hall, 2006.[7]Bernard C. Pricing derivatives with barriers in a stochastic interest rate environment [J]. Journal of Economic Dynamics and Control, 2008, 32(9): 29032938.[8]Green R. The wienerhopf technique and discretely monitored pathdependent option pricing [J]. Mathmatical Finance, 2010, 20(2): 259288.[9]Kudryavtsev O, Levendorskiǐ S. Fast and accurate pricing of barrier options under lévy processes [J]. Finance and Stochastics, 2009, 13(4): 531562.[10]Lai Y C, Lee K C, Chou F S, et al. The pricing model of discrete barrier options [J]. International Research Journal of Finance and Economics, 2010, 35: 3650.[11]Merton R C. Theory of rational option pricing [J]. The Bell Journal of Economics and Management Science, 1973, 4(1): 141183.[12]Mitov G K, Rachev S T, Kim Y S, et al. Barrier option pricing by branching processes [J]. International Journal of Theoretical and Applied Finance, 2009, 12(7): 10551073.[13]Ross S M, Ghamami S. Efficient Monte Carlo barrier option pricing when the underlying security price follows a jumpdiffusion process [J]. Journal of Derivatives, 2010, 17(3): 4552.[14]Sun C, Yang J Y, Li S H. On barrier option pricing in binomial market with transaction costs [J]. Applied Mathematics and Computation, 2007, 189(2): 15051516.[15]Yousuf M. A fourthorder smoothing scheme for pricing barrier options under stochastic volatility [J]. International Journal of Computer Mathematics, 2009, 86 (6): 10541067.(上接第824页)[21]He S Y, Feng G P, Yang H S, et al. Effects of pressure reduction rate on quality and ultrastructure of iceberg lettuce after vacuum cooling and storage [J]. Postharvest Biology and Technology, 2004, 33(3): 263273. [22]Mayor L, Pissarra J, Sereno A M. Microstructure changes during osmotic dehydration of parenchymatic pumpkin tissue [J]. Journal of Food Engineering, 2008, 85(3): 326339.[23]Ramos I N, Silva C L M, Sereno A M, et al. Quantification of microstructural changes during first stage air drying of grape tissue [J]. Journal of Food Engineering, 2004, 62(2): 159164.[24]Bailey C. Food refrigerationcurrent technology and future options [J]. Food Science and Technology Today, 1993, 8(1): 2431.[25]Donald K M, Sun D W. Effect of evacuation rate on the vacuum cooling process of a cooked beef product [J]. Journal of Food Engineering, 2001, 48(3): 195202.[26]Lewicki P P, PorzeckaPawlak R. Effect of osmotic dewatering on apple tissue structure [J]. Journal of Food Engineering, 2005, 66(1): 4350.[27]Jenkins L M, Donald, A M. Use of the environmental scanning electron microscope for the observation of the swelling behavior of cellulosic fibres [J]. Scanning, 1997, 19(2): 9297.[28]Loodts J, Tijskens E, Wei C F, et al. Micromechanics: Simulating the elastic behavior of onion epidermis tissue [J]. Journal of Texture Studies, 2006, 37(1): 1634.[29]Ha M A, Apperley D C, Jarvis M C. Molecular rigidity in dry and hydrated onion cell walls [J]. Plant Physiolgy, 1997, 115(2): 593598.[30]Hepworth D G, Bruce D M. Measuring the deformation of cells within a piece of compressed potato tuber tissue [J]. Annals of Botany, 2000, 86(2): 287292.第46卷 第5期2012年5月上海交通大学学报JOURNAL OF SHANGHAI JIAOTONG UNIVERSITYVol.46 No.5May 2012 |
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