We study a single risky financial asset model subject to price impact and transaction cost over an infinite horizon. An investor needs to execute a long position in the asset affecting the price of the asset and possibly incurring in fixed transaction cost. The objective is to maximize the discounted revenue obtained by this transaction. This problem is formulated first as an impulse control pr...

We analyze the influence of tax progression on optimal investment policy and its value. We show that three possible optimal regimes arise, depending on the nature of the tax policy. If the exogenously given progression threshold lies between the optimal capital stocks in the case of higher and lower marginal profit taxes, then the optimal investment policy is independent of profit tax rates. Bu...

On the basis of 1H and 13C NMR spectroscopy studies, the proportion of pyranose and furanose forms of 6-deoxyheptoses in water solution was determined. Water solution of 6-deoxyheptoses contains all possible furanose and pyranose forms (except 6-deoxy-gluco-heptose for which only pyranose was found), although pyranose is dominant.

We analyze the impact of tax progression on optimal investment policy and its value by first demonstrating that optimal investment policy maximizes the value of the firm and the rate at which it is growing as a function of operating capital stock. Then we show that three possible optimal regimes arise depending on the nature of tax policy. If the exogenously given progression threshold lies bet...

In this paper, we consider the fully overdamped Frenkel-Kontorova model. This is an infinite system of coupled first order ODEs. Each ODE represents the microscopic evolution of one particle interacting with its neighbors and submitted to a fixed periodic potential. After a proper rescaling, a macroscopic model describing the evolution of densities of particles is obtained. We get this homogeni...

The hallowed notion that oxidative damage causes aging and that vitamins might preserve our youth is now in doubt

We consider a financial model with permanent price impact. Continuous time trading dynamics are derived as the limit of discrete rebalancing policies. We then study the problem of super-hedging a European option. Our main result is the derivation of a quasi-linear pricing equation. It holds in the sense of viscosity solutions. When it admits a smooth solution, it provides a perfect hedging stra...

CLINICAL PHARMACOLOGY Pharmacokinetics: Gatifloxacin ophthalmic solution 0.3% or 0.5% was administered to one eye of 6 healthy male subjects each in an escalated dosing regimen starting with a single 2-drop dose, then 2 drops 4 times daily for 7 days and finally 2 drops 8 times daily for 3 days. At all time points, serum gatifloxacin levels were below the lower limit of quantification (5 ng/mL)...

Sufficient conditions are given for a generalized viscosity solution of an elliptic boundary value problem to satisfy the boundary values in the strong sense.