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Scholars release paper on optimal quoting in order books with state-dependent Hawkes processes

1 reports1 news sources5 hr agoUpdated

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Jonathan Chávez Casillas and Li Gan released a quantitative finance working paper studying the optimal quote placement problem for market makers. They model order flow as a state-dependent Hawkes process, combining a piecewise linear demand setup with a continuous-time discrete-state dynamic programming framework to derive backward recursions for the coefficients of a quadratic value function for inventory-dependent quotes under quadratic terminal inventory penalties. Numerical experiments based on LOBSTER data show that the strategy yields higher total terminal wealth than a fixed-spread benchmark at 1 and 3 tick sizes, but lower at 2 tick sizes.

AI-generated from reports · 2 hr agoUpdated

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28 Oct
  1. arXiv q-fin
    Optimal Order Placement in a Limit Order Book Model with State-Dependent Hawkes Processes

    This study addresses the optimal quote placement problem for market makers, modeling order flow as a state-dependent Hawkes process. Combining a piecewise linear demand setting with a continuous-time discrete-state dynamic programming framework, it derives backward recursions for quadratic value function coefficients of inventory-dependent quotes under quadratic terminal inventory penalties. Numerical experiments based on LOBSTER data show that this strategy achieves higher total terminal wealth than fixed-spread benchmarks at 1 and 3 ticks, but lower at 2 ticks.

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