Forecasting with Medium and Large Bayesian VARs

This paper is motivated by the recent interest in the use of Bayesian VARs for forecasting, even in cases where the number of dependent variables is large. In such cases, factor methods have been traditionally used but recent work using a particular prior suggests that Bayesian VAR methods can forecast better. In this paper, we consider a range of alternative priors which have been used with small VARs, discuss the issues which arise when they are used with medium and large VARs and examine their forecast performance using a US macroeconomic data set containing 168 variables. We nd that Bayesian VARs do tend to forecast better than factor methods and provide an extensive comparison of the strengths and weaknesses of various approaches. Our empirical results show the importance of using forecast metrics which use the entire predictive density, instead of using only point forecasts.

The system-wide impacts of the external benefits to higher education on the Scottish economy: An exploratory “micro-to-macro” approach

The private market benefits of education, i.e. the wage premia of graduates, are widely studied at the micro level, although the magnitude of their macroeconomic impact is disputed. However, there are additional benefits of education, which are less well understood but could potentially drive significant macroeconomic impacts. Following the taxonomy of McMahon (2009) we identify four different types of benefits of education. These are: private market benefits (wage premia); private non market benefits (own health, happiness, etc.); external market benefits (productivity spillovers; and external non-market benefits (crime rates, civic society, democratisation, etc.). Drawing on available microeconometric evidence we use a micro-to-macro simulation approach (Hermannsson et al, 2010) to estimate the macroeconomic impacts of external benefits of higher education. We explore four cases: technology spillovers from HEIs; productivity spillovers from more skilled workers in the labour market; reduction in property crime; and the potential overall impact of external and private non-market benefits. Our results suggest that the external economic benefits of higher education could potentially be very large. However, given the dearth of microeconomic evidence this result should be seen as tentative. Our aim is to illustrate the links from education to the wider economy in principle and encourage further research in the field.