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Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices

Yacine Ait-Sahalia and Andrew Lo ()

Journal of Finance, 1998, vol. 53, issue 2, 499-547

Abstract: Implicit in the prices of traded financial assets are Arrow-Debreu prices or, with continuous states, the state-price density (SPD). We construct a nonparametric estimator for the SPD implicit in option prices and we derive its asymptotic sampling theory. This estimator provides an arbitrage-free method of pricing new, complex, or illiquid securities while capturing those features of the data that are most relevant from an asset-pricing perspective, for example, negative skewness and excess kurtosis for asset returns, and volatility "smiles" for option prices. We perform Monte Carlo experiments and extract the SPD from actual S&P 500 option prices. Copyright The American Finance Association 1998.

Date: 1998
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Working Paper: Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices (1995) Downloads
Working Paper: Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices
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