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Trading large volumes of a nancial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A ...
In this paper we consider the problem of calculating the quantiles of a risky position,the dynamic of which is described as a continuous time regime-switching jump-diffusion, by using Fourier Transfor...
In this work, we bring to light a quantity, referred to as implicit spread, playing the role of spread for large tick assets, for which the e ective spread is almost always equal to one tick. The rele...
We investigate the possible drawbacks of employing the standard Pearson estimator to measure correlation coefficients between financial stocks in the presence of non-stationary behavior, and we provid...
We consider a general class of high order weak approximation schemes for stochastic differential equations driven by L\'evy processes with infinite activity. These schemes combine a compound Poisson a...
Evolutions of the trading landscape lead to the capability to exchange the same financial instrument on different venues. Because of liquidity issues, the trading firms split large orders across seve...
In this paper we study simulation based optimization algorithms for solving discrete time optimal stopping problems. This type of algorithms became popular among practioneers working in the area of qu...
We study the class of Az´ema–Yor processes defined from a general semimartingale with a continuous running supremum process. We show that they arise as unique strong solutions of the Bachelier s...
The value function of an optimal stopping problem for a process with L´evy jumps is known to be a generalized solution of a variational inequality. Assuming the diffusion component of the proces...
The main object of our study is a four dimensional Lie algebra which describes the symmetry properties of a nonlinear Black-Scholes model. This model implements a feedback effect which is typical for ...
In this paper we derive the Markowitz-optimal, deterministic-execution trajectory for a trader who wishes to buy or sell a large position of a share which evolves as a geometric Brownian motion in co...

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