2006•RePEc: Research Papers in EconomicsOpen access

Stock Market Volatility and the Forecasting Accuracy of Implied Volatility Indices

Kazuhiko Nishina, Nabil Maghrebi, Moo‐Sung Kim

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Abstract

This study develops a new model-free benchmark of implied volatility for the Japanese stock market similar in construction to the new VIX based on the S&P 500 index.It also examines the stochastic dynamics of the implied volatility index and its relationship with realized volatility in both markets.There is evidence that implied volatility is governed by a long-memory process.Despite its upward bias, implied volatility is more reflective of changes in realized volatility than alternative GARCH models, which account for volatility persistence and the asymmetric impact of news.The implied volatility index is also found to be inclusive of some but not all information on future volatility contained in historical returns.However, its higher out-of sample performance provides further support to the rationale behind drawing inference about future stock market volatility based on the incremental information contained in options prices.

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This study develops a new model-free benchmark of implied volatility for the Japanese stock market similar in construction to the new VIX based on the S&P 500 index.It also examines the stochastic dynamics of the implied volatility index and its relationship with realized volatility in both markets.There is evidence that implied volatility is governed by a long-memory process.Despite its upward bias, implied volatility is more reflective of changes in realized volatility than alternative GARCH models, which account for volatility persistence and the asymmetric impact of news.The implied volatility index is also found to be inclusive of some but not all information on future volatility contained in historical returns.However, its higher out-of sample performance provides further support to the rationale behind drawing inference about future stock market volatility based on the incremental information contained in options prices.

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Available abstract

This study develops a new model-free benchmark of implied volatility for the Japanese stock market similar in construction to the new VIX based on the S&P 500 index.It also examines the stochastic dynamics of the implied volatility index and its relationship with realized volatility in both markets.There is evidence that implied volatility is governed by a long-memory process.Despite its upward bias, implied volatility is more reflective of changes in realized volatility than alternative GARCH models, which account for volatility persistence and the asymmetric impact of news.The implied volatility index is also found to be inclusive of some but not all information on future volatility contained in historical returns.However, its higher out-of sample performance provides further support to the rationale behind drawing inference about future stock market volatility based on the incremental information contained in options prices.

Key concepts: Implied volatility, Volatility smile, Forward volatility, Volatility swap, Volatility (finance), Volatility risk premium, Variance swap, Stochastic volatility

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