scholarly journals European Option Pricing and Hedging with Both Fixed and Proportional Transaction Costs

Author(s):  
Valeri Zakamouline
1993 ◽  
Vol 31 (2) ◽  
pp. 470-493 ◽  
Author(s):  
Mark H. A. Davis ◽  
Vassilios G. Panas ◽  
Thaleia Zariphopoulou

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Jiayin Li ◽  
Huisheng Shu ◽  
Xiu Kan

The European option pricing problem with transaction costs is investigated for a risky asset price model with Lévy jump. By the aid of arbitrage pricing theory and the generalized Itô formula (which includes Poisson jump), the explicit solution to the risk asset price model is given. According to arbitrage-free principle, we first discretize the continuous-time model. Then, in each small time interval, the transaction costs are introduced. By using theΔ-hedging strategy, the explicit solutions of the European options pricing formula with transaction costs are given for the risky asset price model with Lévy jump.


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