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Record statistics and persistence for a random walk with a drift
Record statistics persistence random walk with a drift
2012/9/14
We study the statistics of records of a one-dimensional random walk of nsteps,starting from the origin, and in presence of a constant bias c. At each time-step
the walker makes a random jump of lengt...
Drift dependence of optimal order execution strategies under transient price impact
Drift dependence of optimal order execution strategies transient price impact Trading and Market Microstructure
2012/4/28
We give a complete solution to the problem of minimizing the expected liquidity costs in presence of a general drift when the underlying market impact model has linear transient price impact with expo...
Truncated Variation, Upward Truncated Variation and Downward Truncated Variation of Brownian Motion with Drift - their Characteristics and Applications
Truncated Variation Brownian Motion Applications
2010/11/3
In [6] for c > 0 we defined truncated variation, T V c μ , of Brownian motion with drift, Wt = Bt+μt, t 0, where (Bt) is a standard Brownian motion.
Solvable Nonlinear Volatility Diffusion Models with Affine Drift
Solvable Nonlinear Volatility Diffusion Models Affine Drift
2010/11/1
We present a method for constructing new families of solvable one-dimensional di usions with linear drift and nonlinear di usion coecient functions, whose tran-sition densities are obtainable in anal...