Risk bounds for factor models

Recent literature has investigated the risk aggregation of a portfolio \(X=(X_{i})_{1\leq i\leq n}\) under the sole assumption that the marginal distributions of the risks \(X_{i} \) are specified, but not their dependence structure. There exists a range of possible values for any risk measure of \(S=\sum_{i=1}^{n}X_{i}\), and the dependence uncertainty spread, as measured by the difference between the upper and the lower bound on these values, is typically very wide. Obtaining bounds that are more practically useful requires additional information on dependence.Here, we study a partially specified factor model in which each risk \(X_{i}\) has a known joint distribution with the common risk factor \(Z\), but we dispense with the conditional independence assumption that is typically made in fully specified factor models. We derive easy-to-compute bounds on risk measures such as Value-at-Risk (\(\mathrm{VaR}\)) and law-invariant convex risk measures (e.g. Tail Value-at-Risk (\(\mathrm{TVaR}\))) and demonstrate their asymptotic sharpness. We show that the dependence uncertainty spread is typically reduced substantially and that, contrary to the case in which only marginal information is used, it is not necessarily larger for \(\mathrm{VaR}\) than for \(\mathrm{TVaR}\).     

Markups and fiscal transmission in a panel of OECD countries

This paper studies the role of the markup of price over marginal cost for the transmission of fiscal policy shocks. We construct time series of markups allowing for fluctuations in capacity utilization and total factor productivity and use an aggregate production function that is more general than Cobb–Douglas. Including the constructed markup series in a bias-corrected panel vector autoregression with annual OECD data, we find that a positive shock to government spending tends to lower markups while raising output. The positive output response appears to result less from increases in hours worked than from the positive reaction of capital utilization.     

The impact of teacher subject knowledge on student achievement: Evidence from within-teacher within-student variation

Teachers differ greatly in how much they teach their students, but little is known about which teacher attributes account for this. We estimate the causal effect of teacher subject knowledge on student achievement using within-teacher within-student variation, exploiting a unique Peruvian 6th-grade dataset that tested both students and their teachers in two subjects. Observing teachers teaching both subjects in one-classroom-per-grade schools, we circumvent omitted-variable and selection biases using a correlated random effects model that identifies from differences between the two subjects. After measurement-error correction, one standard deviation in subject-specific teacher achievement increases student achievement by about 9% of a standard deviation in math. Effects in reading are significantly smaller and mostly not significantly different from zero. Effects also depend on the teacher-student match in ability and gender.     

Do better schools lead to more growth? Cognitive skills, economic outcomes, and causation

We develop a new metric for the distribution of educational achievement across countries that can further track the cognitive skill distribution within countries and over time. Cross-country growth regressions generate a close relationship between educational achievement and GDP growth that is remarkably stable across extensive sensitivity analyses of specification, time period, and country samples. In a series of now-common microeconometric approaches for addressing causality, we narrow the range of plausible interpretations of this strong cognitive skills-growth relationship. These alternative estimation approaches, including instrumental variables, difference-in-differences among immigrants on the U.S. labor market, and longitudinal analysis of changes in cognitive skills and in growth rates, leave the stylized fact of a strong impact of cognitive skills unchanged. Moreover, the results indicate that school policy can be an important instrument to spur growth. The shares of basic literates and high performers have independent relationships with growth, the latter being larger in poorer countries.     

Fiscal Rules,Interest Payments on Debt,and the Irrelevance of the Taylor Principle

We show that in New Keynesian models with non‐neutral government debt, the Taylor principle ceases to be relevant for equilibrium determinacy if the government follows a fiscal rule of levying taxes in proportion to its interest payments on existing debt. This is in contrast with previous studies, which typically have assumed that taxes respond to the level of debt, and have found either a confirmation or reversal of the Taylor principle depending on the feedback from debt to taxes. We find, instead, that the equilibrium effect of the interest rate on debt is crucial for determinacy. If, as in our model, taxes are raised in response to debt interest payments, the range of indeterminacy monotonically decreases with the fiscal feedback parameter. When interest payments are completely tax‐financed, indeterminacy is ruled out without any restrictions on monetary policy.     

Government risk premiums in the bond market: EMU and Canada

This paper focuses on risk premiums paid by central governments in Europe and sub-national governments in Germany, Spain, and Canada, using data for bond yield spreads for the period 1991–2005. We find that risk premiums by central governments respond positively to debt and deficits; German states enjoyed a favourable position in financial markets before EMU but not thereafter; Spanish and Canadian provinces risk premiums over the whole period; German and Spanish sub-central governments pay liquidity-related interest rate premiums; Canadian and German provinces/states that benefit from fiscal equalization lower spreads. This is evidence of market discipline at work and of credibility of the EU no-bailout clause.     

Fiskalpolitik nach der Krise

Die ?ffentlichen Haushalte sind durch die Wirtschafts- und Finanzkrise stark in Anspruch genommen. Au?erdem wurde, noch bevor der Ausgang der Krise absehbar war, in Deutschland die Schuldenbremse beschlossen. Bei den Autoren besteht Einigkeit darüber, dass die Nachkrisenzeit einer sensiblen Fiskalpolitik bedarf. über deren Ausgestaltung gehen die Auffassungen jedoch auseinander.     

Education and religious participation: city-level evidence from Germany’s secularization period 1890–1930

Why did substantial parts of Europe abandon the institutionalized churches around 1900? Empirical studies using modern data mostly contradict the traditional view that education was a leading source of the seismic social phenomenon of secularization. We construct a unique panel dataset of advanced-school enrollment and Protestant church attendance in German cities between 1890 and 1930. Our cross-sectional estimates replicate a positive association. By contrast, in panel models where fixed effects account for time-invariant unobserved heterogeneity, education—but not income or urbanization—is negatively related to church attendance. In panel models with lagged explanatory variables, educational expansion precedes reduced church attendance, while the reverse is not true. Dynamic panel models with lagged dependent variables and instrumental-variable models using variation in school supply confirm the results. The pattern of results across school types is most consistent with a mechanism of increased critical thinking in general rather than specific knowledge of natural sciences.