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Nonparametric filtering of conditional state-price densities

Jeroen Dalderop

Journal of Econometrics, 2020, vol. 214, issue 2, 295-325

Abstract: This paper studies the use of noisy high-frequency data to estimate the time-varying state-price density implicit in European option prices. A dynamic kernel estimator of the conditional pricing function and its derivatives is proposed that can be used for model-free risk measurement. Infill asymptotic theory is derived that applies when the pricing function is either smoothly varying or driven by diffusive state variables. Trading times and moneyness levels are modeled by marked point processes that capture intraday trading patterns. A simulation study investigates the performance of the estimator using a varying plug-in bandwidth in various scenarios. Empirical analysis using S&P 500 E-mini European option quotes reveals significant time-variation at intraday frequencies. An application towards delta- and minimum variance-hedging further illustrates the use of the estimator.

Keywords: Option pricing; Kernel regression; High-frequency data; Random sampling times (search for similar items in EconPapers)
JEL-codes: C14 G13 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:214:y:2020:i:2:p:295-325

DOI: 10.1016/j.jeconom.2019.05.022

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