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Options Evaluation Using Monte Carlo Simulation

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  • BRATIAN Vasile

    (Lucian Blaga University of Sibiu)

Abstract

The present paper evaluates derivative products as options, using Monte Carlo simulation for the support-asset. The Monte Carlo method is one of the most valuable and used methods in modern finance and with great applicability in the pricing of options. The support-asset used in our developments is the shares of Banca Transilvania SA. The Monte Carlo simulation is used by us to create scenarios on the random evolution of the support-asset, and the price of the option is determined using the Feynman-Kac theorem. We also consider that the price of the support-asset follows a stochastic process with a lognormal distribution.

Suggested Citation

  • BRATIAN Vasile, 2017. "Options Evaluation Using Monte Carlo Simulation," Revista Economica, Lucian Blaga University of Sibiu, Faculty of Economic Sciences, vol. 69(4), pages 30-42, November.
    • Handle: RePEc:blg:reveco:v:69:y:2017:i:4:p:30-42
    as

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    References listed on IDEAS

    as
    1. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," The Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    2. Mark Broadie & Paul Glasserman, 1996. "Estimating Security Price Derivatives Using Simulation," Management Science, INFORMS, vol. 42(2), pages 269-285, February.
    3. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    5. Boyle, Phelim P., 1977. "Options: A Monte Carlo approach," Journal of Financial Economics, Elsevier, vol. 4(3), pages 323-338, May.
    6. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Monte Carlo simulation; Feynman Kac theorem; options price; brownian motion;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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