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of time, optimal high frequency trading strategies are derived via stochastic control theory and solving the … numerical procedures, where appropriate. The bridge from abstract mathematical theory to practical real-time implementation is …
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Modern Algorithmic Trading ("Algo") allows institutional investors and traders to liquidate or establish big security positions in a fully automated or low-touch manner. Most existing academic or industrial Algos focus on how to "slice" a big parent order into smaller child orders over a given...
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We introduce a new measure of activity of financial markets that provides a direct access to their level of endogeneity. This measure quantifies how much of price changes are due to endogenous feedback processes, as opposed to exogenous news. For this, we calibrate the self-excited conditional...
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We use the database leak of Mt. Gox exchange to analyze the dynamics of the price of bitcoin from June 2011 to November 2013. This gives us a rare opportunity to study an emerging retail-focused, highly speculative and unregulated market with trader identifiers at a tick transaction level. Jumps...
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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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