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Stochastic Volatility and Option Pricing in the Brazilian Stock Marke

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  • Caio Ibsen Rodrigues de Almeida
  • Samy Dana

Abstract

The stochastic volatility model (SVPS) proposed by Fouque et al. (2000a) explores a rapid timescale fluctuation of the volatility process to end up with a parsimonious way of capturing the volatility smile implied by close to the money options. In this article we test the SVFPS model using options from a Brazilian telecommunications stock. First, we find evidence of fast mean reversion in the volatility process. In addition, to test the model's ability to price options not so close to the money, we extend its statistical estimators to consider, in the calibration process, a wider region for the options moneyness. As an illustration, we price an exotic option.

Suggested Citation

  • Caio Ibsen Rodrigues de Almeida & Samy Dana, 2005. "Stochastic Volatility and Option Pricing in the Brazilian Stock Marke," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 4(2), pages 169-206, August.
    • Handle: RePEc:sae:emffin:v:4:y:2005:i:2:p:169-206
    DOI: 10.1177/097265270500400204
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    References listed on IDEAS

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    1. Jun, Sang-Gyung & Marathe, Achla & Shawky, Hany A., 2003. "Liquidity and stock returns in emerging equity markets," Emerging Markets Review, Elsevier, vol. 4(1), pages 1-24, March.
    2. Sangjoon Kim & Neil Shephard & Siddhartha Chib, 1998. "Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 361-393.
    3. Ole E. Barndorff‐Nielsen & Neil Shephard, 2002. "Econometric analysis of realized volatility and its use in estimating stochastic volatility models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 253-280, May.
    4. F. Cribari-Neto & S. G. Zarkos, 1999. "Bootstrap methods for heteroskedastic regression models: evidence on estimation and testing," Econometric Reviews, Taylor & Francis Journals, vol. 18(2), pages 211-228.
    5. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    6. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
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    Cited by:

    1. Ramos, Antônio M.T. & Carvalho, J.A. & Vasconcelos, G.L., 2016. "Exponential model for option prices: Application to the Brazilian market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 161-168.
    2. Alok Dixit & Shivam Singh, 2018. "Ad-Hoc Black–Scholes vis-à-vis TSRV-based Black–Scholes: Evidence from Indian Options Market," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 16(1), pages 57-88, March.

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