Application of Monte Carlo Simulation in the Assessment of European Call Options

作者: Khodakaram Salimifard , Reza Moghdani , Hamid Shahbandarzadeh

DOI: 10.22059/IJMS.2013.30122

关键词: Monte Carlo methodActuarial sciencePut–call parityAsian optionRandomnessEconomicsCall optionMoneynessRational pricingMathematical optimizationBlack–Scholes model

摘要: In this paper, the pricing of a European call option on underlying asset is performed by using Monte Carlo method, one powerful simulation methods, where price development simulated and value claim computed in terms an expected value. The proposed approach, applied simulation, based Black-Scholes equation which generally defined options dynamic environment. Therefore, main goal study how can be to finance? Although it stated that because being randomness, method has its obvious disadvantages does not yield solutions for all possible stock prices, applying formula, efficient use calculating payoff. Hence, matter we introduce model simulations as tools determine.

参考文章(30)
Huguette Reynaerts, Michèle Vanmaele, A Sensitivity Analysis for the Pricing of European Call Options in a Binary Tree Model. international symposium on imprecise probabilities and their applications. pp. 465- 479 ,(2003)
Costanza Torricelli, Silvia Muzzioli, A MULTIPERIOD BINOMIAL MODEL FOR PRICING OPTIONS IN AN UNCERTAIN WORLD international symposium on imprecise probabilities and their applications. pp. 255- 264 ,(2001)
Mark Broadie, Jerome Detemple, American Option Valuation: New Bounds, Approximations, and a Comparison of Existing Methods Review of Financial Studies. ,vol. 9, pp. 1211- 1250 ,(1996) , 10.1093/RFS/9.4.1211
Daniel T. Cassidy, Michael J. Hamp, Rachid Ouyed, Pricing European options with a log Student’s t-distribution: A Gosset formula Physica A-statistical Mechanics and Its Applications. ,vol. 389, pp. 5736- 5748 ,(2010) , 10.1016/J.PHYSA.2010.08.037
Prasad Chalasani, Somesh Jha, Ashok Varikooty, Accurate approximations for European-style Asian options The Journal of Computational Finance. ,vol. 1, pp. 11- 30 ,(1998) , 10.21314/JCF.1998.017
Yuji Yoshida, The valuation of European options in uncertain environment European Journal of Operational Research. ,vol. 145, pp. 221- 229 ,(2003) , 10.1016/S0377-2217(02)00209-6
K. Rezaie, M.S. Amalnik, A. Gereie, B. Ostadi, M. Shakhseniaee, Using extended Monte Carlo simulation method for the improvement of risk management : Consideration of relationships between uncertainties Applied Mathematics and Computation. ,vol. 190, pp. 1492- 1501 ,(2007) , 10.1016/J.AMC.2007.02.038