2015•Advances in Social Science, Education and Humanities Research/Advances in social science, education and humanities researchOpen access

Volatility Forecasting Model-Free Implied Volatility

Jingfei Cheng, Guibin Lu

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Abstract

Volatility in the financial market is an important variable, which in asset pricing, investment, risk management and policy-making process plays an important role.Methods for predicting volatility are mainly divided into two categories, one is the historical information method, based on the historical information to predict the future volatility; the other is the implied volatility method, calculating the expectation of the future volatility based on the market price of the option.We propose a model-free implied volatility method to measure the volatility.The model-free implied volatility does not depend on the option pricing model, and extracts information from all the option contracts.We provide empirical evidence from the S&P 500 index option that the model-free implied volatility is more accurate than GARCH model in predicting the future volatility.

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Volatility in the financial market is an important variable, which in asset pricing, investment, risk management and policy-making process plays an important role.Methods for predicting volatility are mainly divided into two categories, one is the historical information method, based on the historical information to predict the future volatility; the other is the implied volatility method, calculating the expectation of the future volatility based on the market price of the option.We propose a model-free implied volatility method to measure the volatility.The model-free implied volatility does not depend on the option pricing model, and extracts information from all the option contracts.We provide empirical evidence from the S&P 500 index option that the model-free implied volatility is more accurate than GARCH model in predicting the future volatility.

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Available abstract

Volatility in the financial market is an important variable, which in asset pricing, investment, risk management and policy-making process plays an important role.Methods for predicting volatility are mainly divided into two categories, one is the historical information method, based on the historical information to predict the future volatility; the other is the implied volatility method, calculating the expectation of the future volatility based on the market price of the option.We propose a model-free implied volatility method to measure the volatility.The model-free implied volatility does not depend on the option pricing model, and extracts information from all the option contracts.We provide empirical evidence from the S&P 500 index option that the model-free implied volatility is more accurate than GARCH model in predicting the future volatility.

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

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