A Note on 'Discrete Time Hedging Errors for Options with Irregular Payoffs'

2012 ◽  
Author(s):  
Ales Cerny ◽  
Juraj Spilda
Keyword(s):  
Discrete Time ◽  
Discrete Time Hedging

scholarly journals Hedging error estimate of the american put option problem in jump-diffusion processes

Filomat ◽  
2018 ◽  
Vol 32 (8) ◽  
pp. 2813-2824
Author(s):  
Sultan Hussain ◽  
Salman Zeb ◽  
Muhammad Saleem ◽  
Nasir Rehman
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Diffusion Processes ◽  
Asset Price ◽  
Independent Random Variables ◽  
American Put Option ◽  
Jump Diffusion Processes ◽  
Put Option ◽  
Discrete Time Hedging ◽  
American Put

We consider discrete time hedging error of the American put option in case of brusque fluctuations in the price of assets. Since continuous time hedging is not possible in practice so we consider discrete time hedging process. We show that if the proportions of jump sizes in the asset price are identically distributed independent random variables having finite moments then the value process of the discrete time hedging uniformly approximates the value process of the corresponding continuous-time hedging in the sense of L1 and L2-norms under the real world probability measure.

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