An application of the method of moments to range-based volatility estimation using daily high, low, opening, and closing (HLOC) prices

Cristin Buescu, Michael Taksar, Fatoumata J. Koné

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1 Citation (Scopus)
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Abstract

We use the expectation of the range of an arithmetic Brownian motion and the method of moments on the daily high, low, opening and closing prices to estimate the volatility of the stock price. The daily price jump at the opening is considered to be the result of the unobserved evolution of an after-hours virtual trading day.The annualized volatility is used to calculate Black-Scholes prices for European options, and a trading strategy is devised to profit when these prices differ flagrantly from the market prices.
Original languageEnglish
JournalInternational Journal of Theoretical and Applied Finance
Volume16
Issue number5
DOIs
Publication statusPublished - 20 Dec 2011

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