Expected and Realized Returns on Volatility

Guanglian Hu and Kris Jacobs

♦ Expected returns on market volatility, which can be obtained from VIX futures prices in closed form using standard models, positively predict subsequent realized volatility returns. Volatility returns are negative on average. Following increases in volatility, expected volatility returns and subsequent realized volatility returns become more negative. Because realized volatility returns are negatively correlated with index returns, expected volatility returns also negatively predict S&P 500 index returns, but these results are less significant. The results are robust to a wide range of variations in the empirical setup and to small-sample biases.

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