Multi-asset Option Pricing in an Uncertain Financial Market with Jump Risk

Zhichao Gao1, Qianqian Wang2, Ming-Hu Ha1
1School of Management, Hebei University, Baoding, 071002, China
2School of Science, Hebei University of Engineering, Handan 056038, China

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Tài liệu tham khảo

Black, F, Scholes, M: The pricing of options and corporate liabilities. J. Polit. Econ. 81(3), 637–654 (1973).

Chen, XW: American option pricing formula for uncertain financial market. Int. J. Oper. Res. 8(2), 32–37 (2011).

Chen, XW, Ralescu, DA: Liu process and uncertain calculus. J. Uncertainty Anal. Appl. 1, Article, 3 (2013).

Ji, X, Zhou, J: Option pricing for an uncertain stock model with jumps. Soft Comput. 19(11), 3323–3329 (2015).

Liu, BD: Uncertainty theory. 2nd ed. Springer-Verlag, Berlin (2007).

Liu, BD: Theory and practice of uncertain programming. 2nd ed. Springer-Verlag, Berlin (2009).

Liu, BD: Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer-Verlag, Berlin (2011).

Liu, BD: Uncertainty theory. 5th ed (2015). http://orsc.edu.cn/liu/ut.pdf .

Liu, BD: Why is there a need for uncertainty theory. J. Uncertain Syst. 6(1), 3–10 (2012).

Liu, BD: Uncertain risk analysis and uncertain reliability analysis. J. Uncertain Syst. 4(3), 163–170 (2010).

Liu, BD: Toward uncertain finance theory. J. Uncertainty Anal. Appl. 1, Article, 1 (2013).

Liu, BD: Uncertain set theory and uncertain inference rule with application to uncertain control. J. Uncertain Syst. 4(2), 83–98 (2010).

Liu, BD: Uncertain logic for modeling human language. J. Uncertain Syst. 5(1), 3–20 (2011).

Liu, BD: Fuzzy process, hybrid process and uncertain process. J. Uncertain Syst. 2(1), 3–16 (2008).

Liu, BD: Some research problems in uncertainty theory. J. Uncertain Syst. 3(1), 3–10 (2009).

Merton, RC: Theory of rational option pricing. Bell J. Econ. Manag. Sci. 4(1), 141–183 (1973).

Samuelson, PA: Rational theory of warrant pricing. Ind. Manag. Rev. 6(2), 13–32 (1965).

Yao, K: Uncertain calculus with renewal process. Fuzzy Optim Decis. Making. 11(3), 285–297 (2012).

Yu, XC: A stock model with jumps for uncertain markets. Int. J. Uncertainty, Fuzziness Knowledge-Based Syst. 20(3), 421–432 (2012).