JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (4): 36-41.doi: 10.6040/j.issn.1671-9352.2.2017.156

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Stock option pricing with time delay

CHEN Li, LIN Ling*   

  1. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China
  • Received:2017-04-12 Online:2018-04-20 Published:2018-04-13

Abstract: In this article, we mainly develop an formula for pricing European option when stock price follows a stochastic differential delay equation(SDDE).The backward stochastic differential equation(BSDE)method is used, but it is worth noting that the wealth equation is different from the classical BSDE, and it is delayed BSDE. By the dual relationship of delayed BSDE and advanced stochastic differential equation(ASDE), we obtain the formula for pricing European call option.

Key words: delayed backward stochastic differential equation, advanced stochastic differential equation, delay impact, option pricing

CLC Number: 

  • F830.91
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