In this paper we study the existence and uniqueness of weak solutions of stochastic differential equations on Banach spaces. We also study the existence of invariant measures for the corresponding Markovian semigroups. Our main tool is the factorization of stochastic convolutions. We close the...

We consider nonlinear stochastic evolution equation in Hilbert space. A simple proof of existence of strong and weak solution is given provided semigroup governing the linear part of this equation is analytic and compact. Cylindrical noise is allowed.

We consider an optimal stopping problem for a Hilbert-space valued diffusion. We prove that the value function of the problem is the unique viscosity solution of an obstacle problem for the associated parabolic partial differential equation in the Hilbert space. The results are applied to...

The paper attempts to investigate the influence of the 1988 Basel Accord on bank behavior and monetary policy. It is argued that the Accord was successful in that it forced commercial banks in all of G-10 countries to maintain higher capital ratios. Tentative research suggests, however, that -...

Containing short-term volatility of the overnight interest rate is normally considered the main objective of central bank standing facilities. This paper develops a simple stochastic model to show how the width of the central bank standing facilities corridor affects banks' day-to-day liquidity...

After the Lehman default, but also during the euro area sovereign debt crisis, central banks have tended to extend the ability of banks to take recourse to central bank credit operations through changes of the collateral framework (e.g. CGFS, 2008 – in consistence with previous narratives,...

The paper attempts to investigate the influence of the 1988 Basel Accord on bank behavior and monetary policy. It is argued that the Accord was successful in that it forced commercial banks in all of G-10 countries to maintain higher capital ratios. Tentative research suggests, however, that –...