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to limit order books to study the link between price volatility and order flow, where the volatility in mid-price changes …
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The present paper is focused on the solution of optimal control problems such as optimal acquisition, optimal liquidation, and market making in relation to the high-frequency trading market. We have modeled optimal control problems with the price approximated by the diffusion process for the...
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long memory completely disappears. -- Volatility clustering ; Autocorrelations of returns ; Fundamentalists and …
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, which reveals an interesting connection to the theory of Brownian excursion areas. A major application is the estimation of … the integrated squared volatility of an effcient price process Xt from intra-day order book quotes. We derive n -1/3 as … optimal convergence rate of integrated squared volatility estimation in a high-frequency framework with n observations (in …
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A limit order book provides information on available limit order prices and their volumes. Based on these quantities, we give an empirical result on the relationship between the bid-ask liquidity balance and trade sign and we show that liquidity balance on best bid/best ask is quite informative...
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