Option pricing under mixed hedging strategy in time-changed mixed fractional Brownian model

被引:3
|
作者
Kim, Kyong-Hui [1 ]
Kim, Su-Hyang [1 ]
Jo, Ho-Bom [1 ]
机构
[1] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea
关键词
Time -changed process; Mixed fractional Brownian motion; Mixed hedging strategy; Option pricing; ARBITRAGE; MOTION;
D O I
10.1016/j.cam.2022.114496
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain a mixed hedging strategy and a pricing formula in a discrete time setting for a European call option in the time-changed mixed fractional Brownian model. In this manner, we generalize the mixed hedging and the pricing formula in Brownian motion to the time-changed mixed fractional Brownian motion. Finally, through some numerical experiments and empirical analysis, we show that our mixed hedging is better than delta hedging on the hedging error ratio in some cases. (c) 2022 Elsevier B.V. All rights reserved.
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页数:19
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