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Risk-Neutral Densities: A Review

Stephen Figlewski ()
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Stephen Figlewski: New York University Stern School of Business, New York, NY 10012-1126, USA

Annual Review of Financial Economics, 2018, vol. 10, issue 1, 329-359

Abstract: Trading in options with a wide range of exercise prices and a single maturity allows a researcher to extract the market's risk-neutral density (RND) over the underlying price at expiration. The RND contains investors’ beliefs about the true probabilities blended with their risk preferences, both of which are of great interest to academics and practitioners alike. With a particular focus on US equity options, I review the historical development of this powerful concept, practical details of fitting an RND to options market prices, and the many ways in which investigators have tried to distill true expectations and risk premia from observed RNDs. I briefly discuss areas of active current research including the pricing kernel puzzle and the volatility surface, and offer thoughts on what has been learned about RNDs so far and fruitful directions for future research.

Keywords: risk-neutral densities; option risk premia; implied volatility; option pricing (search for similar items in EconPapers)
JEL-codes: G12 G13 G14 G17 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (10)

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