In the empirical analysis of financial time series, multivariate GARCH models have been used in various forms. In most cases it is not well understood how the use of a restricted model has to be paid with loss of valuable information. We investigate the structural implications of two alternative...

Uzawa (1968) first introduced a simple and appealing method for reducing problems with variable rates of time preference to single-state systems by transforming the time scale from t to (delta's symbol), a utility discount factor. The purpose of this paper is to show that Uzawa's transformation...

A separation heuristic for mixed integer programs is presented that theoretically allows one to derive several families of " strong" valid inequalities for specific models and compuationally gives results as good as or better than those obtained from several existing separation routines...