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Abstract: We propose and study a simple stochastic model for the dynamics of a limit order book, in which arrivals of market order, limit orders and order cancellations are described in terms of a Mar...
Non-existence of Markovian time dynamics for graphical models of correlated default
Markovian time dynamics graphical models correlated default
2010/10/21
Filiz et al. (2008) proposed a model for the pattern of defaults seen among a group of firms at the end of a given time period. The ingredients in the model are a graph, where the vertices correspond...
Exit times in non-Markovian drifting continuous-time random walk processes
non-Markovian drifting continuous-time random walk processes
2010/10/18
By appealing to renewal theory we determine the equations that the mean exit time of a continuous-time random walk with drift satisfies both when the present coincides with a jump instant or when it d...
Modeling the non-Markovian, non-stationary scaling dynamics of financial markets
Modeling the non-Markovian financial markets
2010/11/2
A central problem of Quantitative Finance is that of formulating a probabilistic model of the time evolution of asset prices allowing reliable predictions on their future volatility. As in several nat...
BSLP: Markovian Bivariate Spread-Loss Model for Portfolio Credit Derivatives
Markovian Bivariate Spread-Loss Model Portfolio Credit Derivatives
2010/10/29
BSLP is a two-dimensional dynamic model of interacting portfolio-level loss and loss intensity
processes. It is constructed as a Markovian, short-rate intensity model, which facilitates fast lattice ...