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Optimal starting times, stopping times and risk measures for algorithmic trading
Quantitative Finance High-Frequency Trading Algorithmic Trading Optimal Execution Market Impact Risk Measures
2012/6/4
We derive explicit recursive formulas for Target Close (TC) and Implementation Shortfall (IS) in the Almgren-Chriss framework. We explain how to compute the optimal starting and stopping times for IS ...
Liquidity-adjusted Market Risk Measures with Stochastic Holding Period
Liquidity Risk Random Holding Period Systemic Risk
2010/10/21
Within the context of risk integration, we introduce in risk measurement stochastic holding period (SHP) models. This is done in order to obtain a `liquidity-adjusted risk measure' characterized by t...
What risk measures are time consistent for all filtrations?
Risk measure time consistency stability by pasting
2010/10/21
We study coherent risk measures which are time-consistent for multiple filtrations. We show that a coherent risk measure is time-consistent for every filtration if and only if it is one of four main ...