PRICING EUROPEAN BASKET OPTION USING THE STANDARD MONTE CARLO AND ANTITHETIC VARIATES
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References
S. Sidik, “Naik 56%, Jumlah Investor Pasar Modal RI Mencapai 3,88 juta,” cnbcindonesia.com, 2021. https://www.cnbcindonesia.com/market/20210629153854-17-256818/naik-56-jumlah-investor-pasar-modal-ri-mencapai-388-juta (accessed Feb. 14, 2022).
T. Purwanti, “Investor Pasar Modal RI Makin Banyak, Tembus 8,3 Juta!,” cnbcindonesia.com/, 2022. https://www.cnbcindonesia.com/market/20220414130213-17-331715/investor-pasar-modal-ri-makin-banyak-tembus-83-juta (accessed May 06, 2022).
J. C. Hull, “Options, Futures and Other Derivatives 7th John Hull.pdf.” Pearson Education, Inc., 2009.
C. Albanese and G. Campolieti, Advanced Derivatives Pricing and Risk Management. Elsevier Academic Press, 2006.
K. Shiraya and A. Takahashi, “An approximation formula for basket option prices under local stochastic volatility with jumps: An application to commodity markets,” J. Comput. Appl. Math., vol. 292, no. 25380389, pp. 230–256, 2016, doi: 10.1016/j.cam.2015.06.027.
A. Leccadito, T. Paletta, and R. Tunaru, “Pricing and hedging basket options with exact moment matching,” Insur. Math. Econ., vol. 69, pp. 59–69, 2016, doi: 10.1016/j.insmatheco.2016.03.013.
G. Karipova and M. Magdziarz, “Pricing of basket options in subdiffusive fractional Black–Scholes model,” Chaos, Solitons and Fractals, vol. 102, pp. 245–253, 2017, doi: 10.1016/j.chaos.2017.05.013.
C. Mitchell, “Basket Option,” 2021. https://www.investopedia.com/terms/b/basketoption.asp (accessed May 06, 2022).
M. I. Maulana, “Penentuan Harga Opsi Beli Tipe Eropa Menggunakan Metode Monte Carlo,” Bogor, 2018. [Online]. Available: http://etd.repository.ugm.ac.id/home/detail_pencarian/165111
P. Lötstedt, J. Persson, L. von Sydow, and J. Tysk, “Space-time adaptive finite difference method for European multi-asset options,” Comput. Math. with Appl., vol. 53, no. 8, pp. 1159–1180, 2007, doi: 10.1016/j.camwa.2006.09.014.
F. Mehrdoust, K. Fathi, and A. A. Rahimi, “Numerical simulation for multi-asset derivatives pricing under black-scholes model,” Chiang Mai J. Sci., vol. 40, no. 4, pp. 725–735, 2013.
J. Zeng, “Pricing Asian Options and Basket Options by Monte Carlo Methods,” Wuhan Technology University, Wuhan, China, 2017.
P. Boyle, M. Broadie, and P. Glasserman, “Monte Carlo methods for security pricing,” J. Econ. Dyn. Control, vol. 21, pp. 1267–1321, 1997, [Online]. Available: Elsevier
B. Wang and L. Wang, “Pricing Barrier Options using Monte Carlo Methods,” 2011.
Y. Sun and C. Xu, “A hybrid Monte Carlo acceleration method of pricing basket options based on splitting,” J. Comput. Appl. Math., vol. 342, pp. 292–304, 2018, doi: 10.1016/j.cam.2018.03.045.
L. H. T. W. Putri, K. Dharmawan, and S. I. Wayan, “Penentuan Harga Jual Opsi Barrier Tipe Eropa dengan Metode Antithetic Variate pada Simulasi Monte Carlo,” vol. 7 (2), pp. 71–78, 2018, doi: https://doi.org/10.24843/MTK.2018.v07.i02.p187.
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