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Time-changed geometric fractional Brownian motion and option pricing with transaction costs

Article ID Journal Published Year Pages File Type
10481397 Physica A: Statistical Mechanics and its Applications 2012 7 Pages PDF
Abstract
► We introduce a time-changed geometric fractional Brownian motion as price process. ► Our model is a useful tool for capturing the phenomenon of constant period of prices. ► We obtain the pricing formula for the European call option in discrete time setting.
Keywords
Delta-hedgingTime-changed processOption pricingTransaction costs
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Preview
Time-changed geometric fractional Brownian motion and option pricing with transaction costs
Authors
Hui Gu, Jin-Rong Liang, Yun-Xiu Zhang,
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Journal
Physica A: Statistical Mechanics and its Applications
Journal: Physica A: Statistical Mechanics and its Applications
Related Categories
Delta-hedging
Time-changed process
Option pricing
Transaction costs
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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