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Finance 2021
基于随机便利收益率和随机波动率的原油期权交易策略分析
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Abstract:
本文在研究原油期货价格趋势特征的基础上，提出带有随机便利收益率和随机波动率的均值回复过程来刻画原油期货价格走势，并给出相应的参数估计方法。在此基础上，运用蒙特卡洛模拟方法，对比分析多种情境下，几何布朗运动与带有随机便利收益率和随机波动率的均值回复过程驱动的零成本期权交易策略的盈利概率，在一定程度上解释了2018年底国内原油企业衍生品交易亏损的原因，并对政府和企业防范原油衍生品交易风险提出了相应的政策建议。
Based on the trend of price for crude oil futures, a mean reversion process with stochastic conven-ience yields and stochastic volatility is established to characterize the dynamic of crude oil futures, and the corresponding method for parameters estimation is proposed. Then Monte Carlo method is utilized to calculate the profit probability of the zero-cost collar trading strategy driven by the Geo-metric Brownian motion and the mean reversion process with stochastic convenience yields and volatility in various scenarios. The conclusions of this paper partly explain the reasons for the losses in crude oil derivatives trading by domestic oil companies at the end of 2018, and put forward cor-responding policy recommendations for governments and firms to prevent risks of crude oil deriva-tives trading.
| [1] | Zhang, X.B., Zheng, X., Qin, P. and Xie, L. (2018) Oil Import Tariff Game for Energy Security: The Case of China and India. Energy Economics, 72, 255-262. https://doi.org/10.1016/j.eneco.2018.03.035 |
| [2] | 刘映琳, 刘永辉, 鞠卓. 国际原油价格波动对中国商品期货的影响——基于多重相关性结构断点的分析[J]. 中国管理科学, 2019, 27(2): 31-40. |
| [3] | 王荣行. 国际原油价格波动对我国宏观经济的影响分析[J]. 经济研究导刊, 2021(1): 143-145. |
| [4] | 赵新伟. 石油长期合约的期货对冲风险及策略[J]. 系统工程, 2017, 35(4): 33-39. |
| [5] | 王文浩, 李勇, 王冠星, 孙亚飞. 国有企业套期保值研究——以石油公司上游企业套期保值业务为例[J]. 国际石油经济, 2020, 28(12): 87-94. |
| [6] | 郑振龙, 刘杨树. 衍生品定价: 模型风险及其影响[J]. 金融研究, 2010(2): 112-131. |
| [7] | 潘慧峰, 袁军, 高鹏. 基于样本外分布回测的随机过程统计推断方法[J]. 中国管理科学, 2018, 26(4): 155-162. |
| [8] | Black, F. and Scholes, M. (1973) The Pricing of Options and Corporate Liabilities. Journal of Political Economy, 81, 637-654. https://doi.org/10.1086/260062 |
| [9] | Askari, H. and Krichene, N. (2008) Oil Price Dynamics (2002-2006). Energy Economics, 30, 2134-2153.
https://doi.org/10.1016/j.eneco.2007.12.004 |
| [10] | 汪东进, 李秀生, 刘明明, 王震. 基于油价随机过程的国际石油合同模式经济性分析[J]. 石油学报, 2012, 33(3): 513-518. |
| [11] | Gibson, R. and Schwartz, E.S. (1990) Stochastic Convenience Yield and the Pricing of Oil Contingent Claims. The Journal of Finance, 45, 959-976. https://doi.org/10.1111/j.1540-6261.1990.tb05114.x |
| [12] | Bessembinder, H., Coughenour, J., Seguin, P. and Smoller, M.M. (1995) Mean Reversion in Equilibrium Asset Prices: Evidence from the Futures Term Structure. The Journal of Finance, 50, 361-375.
https://doi.org/10.1111/j.1540-6261.1995.tb05178.x |
| [13] | 潘慧峰, 班乘炜. 复杂衍生品定价是否公平——基于深南电案例的分析[J]. 金融研究, 2013(9): 97-109. |
| [14] | Kaufmann, R. and Dees, S. (2008) Oil Prices: The Role of Refinery Utilization, Futures Markets and Nonlinearities. Energy Economics, 30, 2609-2622. https://doi.org/10.1016/j.eneco.2008.04.010 |
| [15] | Kaeck, A. and Alexander, C. (2013) Stochastic Volatility Jump-Diffusions for European Equity Index Dynamics. European Financial Management, 19, 470-496. https://doi.org/10.1111/j.1468-036X.2010.00613.x |
| [16] | Wu, P. and Elliott, R. (2017) A Simple Efficient Ap-proximation to Price Basket Stock Options with Volatility Smile. Annals of Finance, 13, 1-29. https://doi.org/10.1007/s10436-017-0292-1 |
| [17] | 王西梅, 赵延龙, 史若诗, 包莹. 基于局部波动率模型的上证50ETF期权定价研究[J]. 系统工程理论与实践, 2019, 39(10): 2487-2501. |
| [18] | Schwartz, E.S. (1997) The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging. The Journal of Finance, 52, 923-973. https://doi.org/10.1111/j.1540-6261.1997.tb02721.x |
| [19] | Vasicek, O. (1977) An Equilibrium Characterization of the Term Structure. Journal of Financial Economics, 5, 177-188. https://doi.org/10.1016/0304-405X(77)90016-2 |
| [20] | Cox, J.C., Ingersoll, J.E. and Ross, S.A. (1985) A Theory of the Term Structure of Interest Rates. Econometrica, 53, 385-407. https://doi.org/10.2307/1911242 |
| [21] | Cheng, Y.T. and Song, X.C. (2008) Parameter Estimation and Bias Correction for Diffusion Processes. Journal of Econometrics, 149, 65-81. https://doi.org/10.1016/j.jeconom.2008.11.001 |
| [22] | Kladívko, K. (2007) Maximum Likelihood Esti-mation of the Cox-Ingersoll-Ross Process: The Matlab Implementation. Technical Computing Prague, 7, 1175-1178. |
| [23] | Wen, D.Y., Wang, G.J., Ma, C.Q. and Wang, Y.D. (2019) Risk Spillovers between Oil and Stock Markets: A VAR for VaR Analysis. Energy Economics, 80, 524-535. https://doi.org/10.1016/j.eneco.2019.02.005 |
| [24] | 何亚男, 汪寿阳. 世界经济与国际原油价格: 基于Kilian经济指数的协整分析[J]. 系统工程理论与实践, 2011, 31(2): 221-228. |
| [25] | Brennan, M.J. (1991) The Price of Conven-ience and the Valuation of Commodity Contingent Claims. In: Lund, D. and Oksendal, B., Eds., Stochastic Models and Option Values, Elsevier Science, New York, 33-71. |
