Chinese Journal of Management Science ›› 2022, Vol. 30 ›› Issue (2): 94-105.doi: 10.16381/j.cnki.issn1003-207x.2019.1840
• Articles • Previous Articles
YIN Ya-hua1, WU Heng-yu2, ZHU Fu-min3
Received:
2019-11-14
Revised:
2020-04-03
Published:
2022-03-02
Contact:
吴恒煜(1970-),男(汉族),广东雷州人,暨南大学管理学院,教授,博士生导师,研究方向:金融工程和金融经济学,Email:wuhengyu@163.com.
E-mail:wuhengyu@163.com
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CLC Number:
YIN Ya-hua, WU Heng-yu, ZHU Fu-min. VIX Option Pricing Based on Mean Reverting Model——From the Perspective of Calendar Time and Intrinsic Time[J]. Chinese Journal of Management Science, 2022, 30(2): 94-105.
[1] Whaley R E. Derivatives on market volatility[J]. The Journal of Derivatives, 1993, 1(1): 71-84. [2] Demeterfi K, Derman E, Kamal M, et al. A guide to volatility and variance swaps[J]. Journal of Derivatives, 1999, 6(4): 9-32. [3] Carr P, Madan D. Option pricing, interest rates and risk management[M]. London: Cambridge University Press, 2001. [4] Luo Xinguo, Zhang J E. The term structure of VIX[J]. The journal of Futures Markets, 2012, 32(12): 1092-1123. [5] Luo Xingguo, Zhang Jin E, Zhang Wenjun. Instantaneous squared VIX and VIX derivatives[J]. Journal of Futures Markets, 2019, 39(10): 1193-1213. [6] Bardgett C, Gourier E, Leippold M. Inferring volatility dynamics and risk premia from the S&P 500 and VIX Aarkets[J]. Journal of Financial Economics, 2019, 131(3): 593-618. [7] Goard J, Mazur M. Stochastic volatility models and the pricing of VIX options[J]. Mathematical Finance, 2012, 23(3): 439-458. [8] Mencía J, Sentana E. Valuation of VIX derivatives[J]. Journal of Financial Economics, 2013, 108(2): 367-391. [9] Grunbichler A, Longstaff F A. Valuing futures and options on volatility[J]. Social Science Electronic Publishing, 1996, 20(6): 985-1001. [10] Detemple J, Osakwe C. The valuation of volatility options[J]. Review of Finance, 2000, 4(1): 21-50. [11] Barletta A, Nicolato E. Orthogonal expansions for VIX options under affine jump diffusions[J]. Quantitative Finance, 2018, 18(6): 951-967. [12] Hao Jinji, Zhang Jin’e. GARCH option pricing models, the CBOE VIX, and variance risk premium[J]. Journal of Financial Econometrics, 2013, 11(3): 556-580. [13] Liu Qiang, Guo Shuxin, Qiao Gaoxiu. VIX forecasting and variance risk premium: A new GARCH approach[J]. The North American Journal of Economics and Finance, 2015, 34: 314-322. [14] Huang Hunghsi, Lin Shinhung, Wang Chiuping. Reasonable evaluation of VIX options for the Taiwan stock index[J]. The North American Journal of Economics and Finance, 2019, 48: 111-130. [15] Park Y. The effects of asymmetric volatility and jumps on the pricing of VIX derivatives[J]. Journal of Econometrics, 2016, 192(1): 313-328. [16] Lin Wei, Li Shenghong, Chern S, et al. Pricing VIX derivatives with free stochastic volatility model[J]. Review of Derivatives Research, 2019, 22: 41-75. [17] Zhang Jine, Zhu Yingzi. VIX futures[J]. Journal of Futures Markets, 2006, 26(6): 521-531. [18] Dotsis G, Psychoyios D, Skiadopoulos G. An empirical comparison of continuous-time models of implied volatility indices[J]. Journal of Banking & Finance, 2007, 31(12): 3584-3603. [19] Madan D B. Pricing options on mean reverting underliers[J]. Quantitative Finance, 2017, 17(4): 497-513. [20] Hurst S R, Platen E, Rachev S T. Option pricing for a logstable asset price model[J]. Mathematical and Computer Modelling, 1999, 29(10): 105-119. [21] Wu Liuren. Dampened power law: Reconciling the tail behavior of financial security returns[J]. Journal of Business, 2006, 79(3): 1445-1473. [22] Kim Y S, Rachev S T, Bianchi M L, et al. Tempered stable and tempered infinitely divisible GARCH models[J]. Journal of Banking & Finance, 2010, 34(9): 2096-2109. [23] Kim Y S, Rachev S T, Bianchi M L, et al. Time series analysis for financial market meltdowns[J]. Journal of Banking & Finance, 2011, 35(8): 1879-1891. [24] 刘志东, 陈晓静. 无限活动纯跳跃Lévy金融资产价格模型及其CF-CGMM参数估计与应用[J]. 系统管理学报, 2010, 19(4): 71-81.Liu Zhidong, Chen Xiaojing. Infinite activity pure jump lévy rrocess for financial assets price and its estimation by characteristic function based on GMM with a continuum of moment conditions[J]. Journal of Systems & Management, 2010, 19(4): 71-81. [25] 刘志东, 刘雯宇. Lévy过程驱动的非高斯OU随机波动模型及其贝叶斯参数统计推断方法研究[J]. 中国管理科学, 2015, 23(8): 1-9.Liu Zhidong, Liu Wenyu. The non Ornstein-Uhlenbeck models driven by the general lévy process and its bayesian inference[J]. Chinese Journal of Management Science, 2015, 23(8): 1-9. [26] 刘志东, 刘雯宇, 阮禹铭. Lévy过程驱动非高斯OU随机波动率下的期权定价[J]. 管理科学学报, 2019, 22(1): 22-48.Liu Zhidong, Liu Wenyu, Ruan Yuming. Option pricing in non-Gaussian Ornstein-Uhlenbeck stochastic volatility processes driven by the Lévy process[J]. Journal of Management Sciences in China, 2019, 22(1): 17-43. [27] 鲍群芳, 陈思, 李胜宏. VIX期权定价与校正[J]. 金融理论与实践, 2012(4): 67-70.Bao Qunfang, Chen Si, Li Shenghong. VIX option pricing and correction[J]. Financial Theory & Practice, 2012(4): 67-70. [28] 周海林, 吴鑫育. 基于VIX的波动率风险溢价估计[J]. 中国管理科学, 2013, 21(S1): 365-374.Zhou Hailin, Wu Xinyu. Estimation of the volatility risk premium based on VIX[J]. Chinese Journal of Management Science, 2013, 21(S1): 365-374. [29] 柳向东, 杨飞, 彭智. 随机波动率模型下的VIX期权定价[J]. 应用数学学报, 2015, 38(2): 285-292.Liu Xiangdong, Yang Fei, Peng Zhi. The VIX option pricing based on stochastic volatility models[J]. Acta Mathematicae Applicatae Sinica, 2015, 38(2): 285-292. [30] 王骋翔, 李胜宏, 胡文彬, 等. VIX期权的状态转换随机波动率定价模型[J]. 高校应用数学学报A辑, 2015, 30(3): 347-354.Wang Chengxiang, Li Shenghong, Hu Wenbin, et al. Pricing VIX option under Heston stochastic volatility model with regime switching[J]. Applied Mathematics: A Journal of Chinese Universities, 2015, 30(3): 347-354. [31] 尹亚华, 吴恒煜, 庞若宁, 等. ⅤⅨ期权定价—基于随机参数的仿射调和稳态模型[J]. 系统工程理论与实践, 2020, 40(10): 2530-2545.Yin Yahua, Wu Hengyu, Pang Ruoning, et al. VIX option price — Applied by affine models with tempered stable processes and stochastic parameter[J]. Systems Engineering — Theory & Practice, 2020, 40(10): 2530-2545. [32] 尹亚华, 吴恒煜, 朱福敏. 基于调和稳态均值回复模型的VIX期权定价[J]. 系统工程学报 2021, 36(5): 653-667.Yin Yahua, Wu Hengyu, Zhu Fumin. VIX option pricing based on mean reverting model with tempered stable processes[J]. Journal of Systems Engineering, 2021, 36(5): 653-667. [33] 史永东, 李竹薇, 陈炜. 中国证券投资者交易行为的实证研究[J]. 金融研究, 2009, 353(11): 129-142.Shi Yongdong, Li Zhuwei, Chen Wei. Empirical study on the trading behavior of Chinese Securities Investors[J]. Financial Research, 2009 353(11): 129-142. [34] 池丽旭, 庄新田. 投资者的非理性行为偏差与止损策略—处置效应、参考价格角度的实证研究[J]. 管理科学学报, 2011, 14(10): 54-66.Chi Lixu, Zhuang Xintian. Investors’ irrational behavior deviation and stop loss strategy — An empirical study from the perspective of disposal effect and reference price[J]. Journal of Management Science in China, 2011, 14(10): 54-66. [35] 俞乔, 刘家鹏. 系统性风险控制与动态逆势投资研究[J]. 经济研究, 2013, 48(2): 68-82.Yu Qiao, Liu Jiapeng. Research on systematic risk control and dynamic contrarian investment[J]. Economic Research, 2013, 48(2): 68-82. [36] 刘维奇,刘新新.个人和机构投资者情绪与股票收益—基于上证A股市场的研究[J]. 管理科学学报, 2014, 17(3): 70-87.Liu Weiqi, Liu Xinxin. Individual and institutional investor sentiment and stock returns — A study based on shanghai stock exchange A-share market[J]. Journal of Management Sciences in China, 2014, 17(3): 70-87. [37] 俞红海, 李心丹, 耿子扬. 投资者情绪、意见分歧与中国股市IPO之谜[J]. 管理科学学报,2015, 18(3): 78-89.Yu Honghai, Li Xindang, Geng Ziyang. Investor sentiment, disagreement and the mystery of IPO in China’s stock market[J]. Journal of Management Sciences in China, 2015, 18(3): 78-89. [38] 曾燕, 康俊卿, 陈树敏. 基于异质性投资者的动态情绪资产定价[J]. 管理科学学报, 2016, 19(6): 87-97.Zeng Yan, Kang Junqing, Chen Shumin. Dynamic emotional asset pricing based on heterogeneous investors[J]. Journal of Management Sciences in China, 2016, 19(6): 87-97. |
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