Citation: | YANG Zhao-qiang. Pricing European lookback option by a special kind of mixed jump-diffusion model[J]. Journal of East China Normal University (Natural Sciences), 2017, (4): 1-17. doi: 10.3969/j.issn.1000-5641.2017.04.001 |
[1] |
CHERIDITO P. Mixed fractional Brownian motion[J]. Bernoulli, 2001, 7(6): 913-934. doi: 10.2307/3318626
|
[2] |
MOUNIR Z L. On the mixed fractional Brownian motion[J]. Journal of Applied Mathematics and Stochastic Analysis. 2006, 1-9. http://www.oalib.com/paper/49082
|
[3] |
姜礼尚, 罗俊.跳扩散模型下永久美式看跌期权定价[J].系统工程理论与实践, 2008, 28(2): 10-18. http://www.cnki.com.cn/Article/CJFDTOTAL-XTLL200802002.htm
|
[4] |
CHANG M A, CHINHYUNG C, KEENWAN P. The price of foreign currency options under jump-diffusion processes[J]. Journal of Futures Markets, 2007, 27(7): 669-695. doi: 10.1002/(ISSN)1096-9934
|
[5] |
陈超.标的资产价格服从跳-扩散过程的脆弱期权定价模型[J].工程数学学报, 2008, 25(6): 1129-1132. http://www.cnki.com.cn/Article/CJFDTOTAL-GCSX200806026.htm
|
[6] |
彭斌, 彭菲.基于跳-分形模型的美式看涨期权定价[J].数学的实践与认识, 2014, 44(24): 1-9. http://www.cnki.com.cn/Article/CJFDTOTAL-SSJS201424001.htm
|
[7] |
徐峰, 郑石秋.混合分数布朗运动驱动的幂期权定价模型[J].经济数学, 2010, 27(2): 8-12. http://www.cnki.com.cn/Article/CJFDTOTAL-JJSX201002003.htm
|
[8] |
孙玉东, 师义民.混合分数布朗运动下亚式期权定价[J].经济数学, 2011, 28(1): 49-51. http://cdmd.cnki.com.cn/Article/CDMD-10749-1015431811.htm
|
[9] |
XIAO W L, ZHANG W G. Pricing model for equity warrants in a mixed fractional Brownian environment and its algorithm[J]. Physica A, 2012, 391(24): 6418-6431. doi: 10.1016/j.physa.2012.07.041
|
[10] |
SUN L. Pricing currency options in the mixed fractional Brownian motion[J]. Physica A, 2013, 392(16): 3441-3458. doi: 10.1016/j.physa.2013.03.055
|
[11] |
杨朝强.一类混合跳-扩散分数布朗运动的欧式回望期权定价[J].山东大学学报(理学版), 2013, 48(6): 67-74. http://www.cnki.com.cn/Article/CJFDTOTAL-SDDX201306015.htm
|
[12] |
FOAD S, ADEM K. Pricing currency option in a mixed fractional Brownian motion with jumps environment[J]. Mathematical Problems in Engineering. 2014, 2014(1): 1-13. https://www.researchgate.net/profile/Adem_Kilicman/publication/274919126_Pricing_Currency_Option_in_a_Mixed_Fractional_Brownian_Motion_with_Jumps_Environment/links/5649aabc08ae54697fbed7b0.pdf?inViewer=0&pdfJsDownload=0&origin=publication_detail
|
[13] |
BIAGINI F, HU Y Z. Stochastic Calculus for Fractional Brownian Motion and Applications[M]. London: Springer-Verlag, 2008.
|
[14] |
YUE K K. Mathematical Models of Financial Derivatives[M]. 2nd ed. Berlin: Springer, 2008: 201-211.
|
[15] |
XIAO W L, ZHANG W G. Pricing currency options in a fractional Brownian motion with jumps[J]. Economic Modelling, 2010, 27(5): 935-942. doi: 10.1016/j.econmod.2010.05.010
|
[16] |
EBERLEIN E, PAPAPANTOLENO A. Equivalence of floating and fixed strike Asian and lookback options[J]. Stochastic Processes and Their Applications. 2005, 115(1): 31-40. doi: 10.1016/j.spa.2004.07.003
|