In this paper we propose exact likelihood-based mean-variance efficiency tests of the market portfolio in the context of Capital Asset Pricing Model (CAPM), allowing for a wide class of error distributions which include normality as a special case. These tests are developed in the framework of...

The evaluation of multi-step-ahead density forecasts is complicated by the serial correlation of the corresponding probability integral transforms. In the literature, three testing approaches can be found which take this problem into account. However, these approaches can be computationally...

Macroeconomic risk assessments play an important role in the forecasts of many institutions. A risk forecast is related to the potential asymmetry of the forecast density. In this work, we investigate how the optimality of such risk forecasts can be tested. We find that the Pearson mode skewness...

Surveying the forecasting practice of several central banks, we find that all these banks issue statements about risks to their macroeconomic forecasts. Often the balance of these risks is assessed as well. Upward [downward] risks to the forecast commonly imply that the outturn is expected to...

In this paper, we construct a single composite financial stress indicator (FSI) which aims to predict developments in the real economy in the euro area. Our FSI was shown to perform better than the Euro STOXX 50 volatility index for the recent banking crisis and the euro-area sovereign debt...

The interest rate assumptions for macroeconomic forecasts differ considerably among central banks. Common approaches are given by the assumption of constant interest rates, interest rates expected by market participants, or the central bank's own interest rate expectations. From a theoretical...

Since Mandelbrot's seminal work (1963), alpha-stable distributions with infinite variance have been regarded as a more realistic distributional assumption than the normal distribution for some economic variables, especially financial data. After providing a brief survey of theoretical results on...

In this paper, we use a modified concept of Granger-(non)causality in reconsidering the negative correlation between stock returns and inflation known in the literature as stock return-inflation puzzle. Based on the quarterly data for Germany including stock returns, inflation rates and growth...

In this paper, we investigate the implications of the two concepts of asymmetry defined by Sichel (1993) - deepness and steepness - for first-order autoregressive processes with a Markov-switching intercept. In order to do so, we derive the two required formulas determining the coefficient of...