Quantum-Inspired Evolutionary Algorithms for Calibration of the VG Option Pricing Model

Quantum effects are a natural phenomenon and just like evolution, or immune systems, can serve as an inspiration for the design of computing algorithms. This study illustrates how a quantum-inspired evolutionary algorithm can be constructed and examines the utility of the resulting algorithm on Option Pricing model calibration. The results from the algorithm are shown to be robust and comparable to those of other algorithms.

[1]  L. Jiao,et al.  Quantum-Inspired Immune Clonal Optimization , 2005, 2005 International Conference on Neural Networks and Brain.

[2]  Michel Toulouse,et al.  Automatic Quantum Computer Programming: A Genetic Programming Approach , 2006, Genetic Programming and Evolvable Machines.

[3]  Brad G. Kyer Review of 5 of biologically inspired algorithms for financial modelling by Anthony Brabazon, Michael O'Neill Springer-Verlag Berlin Heidelberg, 2006 , 2010, SIGA.

[4]  Jong-Hwan Kim,et al.  On setting the parameters of quantum-inspired evolutionary algorithm for practical application , 2003, The 2003 Congress on Evolutionary Computation, 2003. CEC '03..

[5]  P. Carr,et al.  The Variance Gamma Process and Option Pricing , 1998 .

[6]  D. Madan,et al.  1option Pricing with V. G. Martingale Components , 1991 .

[7]  Marley M. B. R. Vellasco,et al.  Quantum-Inspired Evolutionary Algorithm for Numerical Optimization , 2006, 2006 IEEE International Conference on Evolutionary Computation.

[8]  M. Pacheco,et al.  Quantum-Inspired Evolutionary Algorithm for Numerical Optimization , 2006 .

[9]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[10]  Anthony Brabazon,et al.  Biologically inspired algorithms for financial modelling , 2006, Natural computing series.

[11]  Mak Kaboudan,et al.  Biologically Inspired Algorithms for Financial Modelling , 2006, Genetic Programming and Evolvable Machines.

[12]  Jong-Hwan Kim,et al.  Quantum-inspired evolutionary algorithms with a new termination criterion, H/sub /spl epsi// gate, and two-phase scheme , 2004, IEEE Transactions on Evolutionary Computation.

[13]  Rey-Chue Hwang,et al.  Quantum NN vs. NN in signal recognition , 2005, Third International Conference on Information Technology and Applications (ICITA'05).

[14]  Yanchun Liang,et al.  A novel quantum swarm evolutionary algorithm and its applications , 2007, Neurocomputing.

[15]  Jong-Hwan Kim,et al.  Quantum-inspired evolutionary algorithm for a class of combinatorial optimization , 2002, IEEE Trans. Evol. Comput..

[16]  E. Seneta,et al.  The Variance Gamma (V.G.) Model for Share Market Returns , 1990 .

[17]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[18]  Jong-Hwan Kim,et al.  Quantum-Inspired Evolutionary Algorithms With a New Termination Criterion , H Gate , and Two-Phase Scheme , 2009 .

[19]  Shuyuan Yang,et al.  A quantum particle swarm optimization , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[20]  Ajit Narayanan,et al.  Quantum-inspired genetic algorithms , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

[21]  Lee Spector,et al.  Automatic Quantum Computer Programming: A Genetic Programming Approach (Genetic Programming) , 2004 .

[22]  Rey-Chue Hwang,et al.  The non-stationary signal prediction by using quantum NN , 2004, 2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583).

[23]  S. Ben Hamida,et al.  Recovering Volatility from Option Prices by Evolutionary Optimization , 2004 .

[24]  Ying Li,et al.  The immune quantum-inspired evolutionary algorithm , 2004, 2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583).

[25]  Shuyuan Yang,et al.  A novel quantum evolutionary algorithm and its application , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[26]  S. Garavaglia A quantum-inspired self-organizing map (QISOM) , 2002, Proceedings of the 2002 International Joint Conference on Neural Networks. IJCNN'02 (Cat. No.02CH37290).

[27]  L. Jiao,et al.  A genetic algorithm based on quantum chromosome , 2004, Proceedings 7th International Conference on Signal Processing, 2004. Proceedings. ICSP '04. 2004..

[28]  Michael O'Neill,et al.  Biologically Inspired Algorithms for Financial Modelling (Natural Computing Series) , 2005 .