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Option bounds for multinomial stock returns in Jump-Diffusion processes - a Monte Carlo simulation for a multi-jump process

Author

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  • Lupu, Radu

    (Academy of Economic Studies, Bucharest, Department of International Business and Economics)

Abstract

This paper addresses the problem of option bounds computation under the assumption that the price of the underlying asset follows a jump-diffusion Merton process as formulated in Perrakis (1993) extending the number of the jumps from one jump up and one jump down with fixed sizes to a finite number of jumps with sizes drawn from the lognormal distribution. The objective of this paper is to create a Monte Carlo simulation for the estimation of the bounds with various numbers of jumps and periods to maturity.

Suggested Citation

  • Lupu, Radu, 2006. "Option bounds for multinomial stock returns in Jump-Diffusion processes - a Monte Carlo simulation for a multi-jump process," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 3(2), pages 58-71, June.
    • Handle: RePEc:rjr:romjef:v:3:y:2006:i:2:p:58-71
    as

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    References listed on IDEAS

    as
    1. 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..
    2. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    3. Perrakis, Stylianos & Ryan, Peter J, 1984. "Option Pricing Bounds in Discrete Time," Journal of Finance, American Finance Association, vol. 39(2), pages 519-525, June.
    4. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    5. Ritchken, Peter H, 1985. "On Option Pricing Bounds," Journal of Finance, American Finance Association, vol. 40(4), pages 1219-1233, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Ming-Cheng WU & I-Cheng LIN & Yi-Ting HUANG & Chang-Rong, 2015. "Forecasting Prices Of Presale Houses: A Real Option Approach," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 143-158, March.

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    More about this item

    Keywords

    Monte Carlo simulation; Jump-Diffusion processes; multi-jump process;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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