Chinese Journal of Management Science ›› 2018, Vol. 26 ›› Issue (8): 13-19.doi: 10.16381/j.cnki.issn1003-207x.2018.08.002
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HU Xiao-ping1, CAO Jie2
Received:
2017-01-03
Revised:
2017-12-06
Online:
2018-08-20
Published:
2018-10-22
CLC Number:
HU Xiao-ping, CAO Jie. Estimating Implied Levy Models based on non-uniform Discrete Fourier Transforms[J]. Chinese Journal of Management Science, 2018, 26(8): 13-19.
[1] Rubinstein M. Implied binomial trees[J]. The Journal of Finance, 1994, 49(3):771-818.[2] Derman E, Kani I, Chriss N. Implied trinomial tress of the volatility smile[J]. The Journal of Derivatives, 1996, 3(4):7-22.[3] Wan H. Pricing American-style basket options by implied binomial tree[R]. Working Paper, Haas School of Business,2002.[4] Hui E C-M. An enhanced implied tree model for option pricing:A study on Hong Kong property stock options[J]. International Review of Economics & Finance, 2006, 15(3):324-345.[5] Lai W-N. Comparison of methods to estimate option implied risk-neutral densities[J]. Quantitative Finance, 2014, 14(10):1839-1855.[6] Du Yijun, Wang Chen, Du Yibing, et al.:Inversion of option prices for implied risk-neutral probability density functions:General theory and its applications to the natural gas market[J]. Quartitative Finance, 2012,12(12):1877-1891.[7] Celis O S, Liang Lingzhi, Lemmens D, et al. Determining and benchmarking risk neutral distributions implied from option prices[J]. Applied Mathematics and Computation, 2015, 258:372-387.[8] Santos A, Guerra J. Implied risk neutral densities from option prices:Hypergeometric, spline, lognormal, and edgeworth functions[J]. Journal of Futures Markets, 2015, 35(7):655-678.[9] Hu Xiaoping, Cui Hairong, Zhu Lihua, et al. Recovering implied risk-neutral probability density function using SVR[J]. Journal of Southeast University, 2010, 26(3):489-493.[10] 崔海蓉, 胡小平. 基于GMD的隐含最小距离风险中性概率测度提取[J]. 东南大学学报(自然科学版), 2011, (01):210-214.[11] Fang Fang, Oosterlee C W. A novel pricing method for European options based on Fourier-cosine series expansions[J]. SIAM Journal on Scientific Computing, 2008, 31(2):826-848.[12] Dia B M. A regularized fourier transform approach for valuing options under stochastic dividend yields[J]. International Journal of Theoretical and Applied Finance, 2010, 13(2):211-240.[13] Kwok Y K, Leung K S, Wong H Y. Efficient options pricing using the fast fourier transform[M]//Duan Jinchuan, Härde WK, Gentle JE. Handbook of computational finance. Berlin-Heidelbery:Springer, 2012:579-604.[14] Zhang Sumei, Wang Lihe. Fast fourier transform technique for pricing European options with stochastic volatility and jump risk[J]. Applied Mathematics and Computation, 2013,219(23):10928-10933.[15] Ortiz-Gracia L, Oosterlee C W. A highly efficient Shannon wavelet inverse fourier technique for pricing European options[J]. SIAM Journal on Scientific Computing, 2016, 38(1):B118-B143.[16] Eberlein E. Fourier-based valuation methods in mathematical finance[M]//Benth F E, Kholodnyi V A, Laurence P. Quantitative energy finance:Modeling, pricing, and hedging in energy and commodity markets. New York, NY:Springer New York, 2014:85-114.[17] Dempster MAH, Hong SSG. Pricing spread options with the fast Fourier transform[C]. Mathematical Finance, Bachelier Congress. Springer-Verlag, Berlin, 2000:203-220.[18] Pellegrino T, Sabino P. Pricing and hedging multiasset spread options using a three-dimensional Fourier cosine series expansion method[J]. Journal of Energy Markets, 2014, 7(2):1-40.[19] Andersson M. Valuation of spread options using the fast Fourier transform under stochastic volatility and jump diffusion models[D]. Lwnd, Scania, Sweden:Lund University,2015.[20] Ramponi A. Fourier transform methods for regime-switching jump-diffusions and the pricing of forward starting options[J]. International Journal of Theoretical and Applied Finance, 2012, 15(05):125-137.[21] Zhang B, Oosterlee C. Pricing of early-exercise Asian options under Lévy processes based on Fourier cosine expansions[J]. Applied Numerical Mathematics, 2014, 78:14-30.[22] Ibrahim S N I, O'hara J G, Constantinou N. Pricing extendible options using the fast Fourier transform[J]. Mathematical Problems in Engineering, 2014, 2014:1-30.[23] Fusai G. Pricing Asian options via Fourier and Laplace transforms[J]. Journal of Computational Finance, 2004, 7(3):87-106.[24] Huang C-S, O'hara J G, Mataramvura S. Efficient pricing of discrete arithmetic Asian options under mean reversion and jumps based on Fourier-cosine expansions[J]. Journal of Computational and Applied Mathematics, 2017, 311:230-238.[25] Fang Fang, Oosterlee C W. Pricing early-exercise and discrete barrier options by Fourier-cosine series expansions[J]. Numerische Mathematik, 2009, 114(1):27-62.[26] Eberlein E, Glau K, Papapantoleon A. Analyticity of the Wiener-Hopf factors and valuation of exotic options in Lévy models[M]//Di Nunno G, Øksendal B. Advanced mathematical methods for finance, Berlin, Heidelberg:Springer Berlin Heidelberg, 2011:223-245.[27] Mordecki E. Optimal stopping and perpetual options for Lévy processes[J]. Finance and Stochastics, 2002, 6(4):473-493.[28] Sheu Y-C, Tsai M-Y. On the optimal stopping problems for matrix-exponential Lévy processes[R]. Institute of Mathematics, Academia Sinica, Taipei, Taiwan, 2011.[29] Boyarchenko S I, Levendorskii S Z. Perpetual American options under Lévy processes[J]. SIAM Journal on Control and Optimization, 2002, 40(6):1663-1696.[30] Zhylyevskyy O. A fast Fourier transform technique for pricing American options under stochastic volatility[J]. Review of Derivatives Research, 2010, 13(1):1-24.[31] Gyulov T, Valkov R. American option pricing problem transformed on finite interval[J]. International Journal of Computer Mathematics, 2016, 93(5):821-836.[32] Wong H Y, Guan Peiqiu. An FFT-network for Lévy option pricing[J]. Journal of Banking & Finance, 2011, 35(4):988-999.[33] Madan D B, Yor M. Representing the CGMY and Meixner Lévy processes as time changed Brownian motions[J]. Journal of Computational Finance, 2008, 12(1):27.[34] 刘志东, 陈晓静. Levy Tempered Stable金融资产收益分布及其CF-CGMM估计方法研究[J]. 中国管理科学, 2009, 17(3):18-26.[35] 沈根祥, 胡志军. 中国股票市场资产价格模型设定检验[J]. 中国管理科学, 2014, 22(2):16-23.[36] Carr P, Madan D. Option valuation using the fast Fourier transform[J]. Journal of Computational Finance, 1999, 2(4):61-73.[37] White R. Option pricing with Fourier methods[J]. Open Gamma Quantitative Research, 2013, 1(1):1-20.[38] Duijndam A J W, Schonewille M A. Nonuniform fast Fourier transform[J]. Geophysics, 1999, 64(2):539-551.[39] Greengard L, Lee J-Y. Accelerating the nonuniform fast Fourier transform[J]. SIAM Review, 2004, 46(3):443-454. |
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