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Variance Premium and Implied Volatility in a Low-Liquidity Option Market

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  • Astorino, Eduardo
  • Chague, Fernando
  • Giovannetti, Bruno Cara
  • da Silva, Marcos Eugênio

Abstract

We propose an implied volatility index for Brazil (called "IVol-BR"), based on daily market prices of options over IBOVESPA - an option market with relatively low liquidity and low number of option strikes. Our methodology combines usual international methodology used in high-liquidity markets with adjustments that take into account the low liquidity in Brazilian option market. We do a number of empirical tests to validate the IVol-BR. First, we show that the IVol-BR has significant predictive power over future volatility of equity returns not contained in traditional volatility forecasting variables. Second, we decompose the squared IVol-BR into (i) the expected variance of stock returns and (ii) the equity variance premium. This decomposition is of interest since the equity variance premium directly relates to the representative investor risk-aversion. Finally, we show empirically that higher risk-aversion is accompanied with higher expected returns, confirming the theory that high risk-aversion should be compensated by higher returns.

Suggested Citation

  • Astorino, Eduardo & Chague, Fernando & Giovannetti, Bruno Cara & da Silva, Marcos Eugênio, 2017. "Variance Premium and Implied Volatility in a Low-Liquidity Option Market," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 71(1), May.
    • Handle: RePEc:fgv:epgrbe:v:71:y:2017:i:1:a:59368
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    References listed on IDEAS

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    6. José Renato Haas Ornelas & José Santiago Fajardo Barbachan & Aquiles Rocha de Farias, 2012. "Estimating Relative Risk Aversion, Risk-Neutral and Real-World Densities using Brazilian Real Currency Options," Working Papers Series 269, Central Bank of Brazil, Research Department.
    7. Issler, João Victor & Piqueira, Natalia Scotto, 2000. "Estimating Relative Risk Aversion, the Discount Rate, and the Intertemporal Elasticity of Substitution in Consumption for Brazil Using Three Types of Utility Function," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 20(2), November.
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    Cited by:

    1. Freire, Gustavo, 2021. "Tail risk and investors’ concerns: Evidence from Brazil," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).
    2. Fassas, Athanasios P. & Siriopoulos, Costas, 2021. "Implied volatility indices – A review," The Quarterly Review of Economics and Finance, Elsevier, vol. 79(C), pages 303-329.
    3. Fernando Chague & Rodrigo De-Losso, Alan De Genaro, Bruno Giovannetti, 2015. "Why Do Different Short-sellers Pay Different Loan Fees? A Market-wide Analysis," Working Papers, Department of Economics 2015_17, University of São Paulo (FEA-USP).
    4. Ramos, Henrique P. & Perlin, Marcelo S. & Righi, Marcelo B., 2017. "Mispricing in the odd lots market in Brazil," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 618-628.

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    More about this item

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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