Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2015-01-04 Revision-Date: 2017-04-19 Number: 15-140/III Author-Name: Erik Kole Author-Workplace-Name: Erasmus University Rotterdam, the Netherlands Author-Name: Thijs Markwat Author-Workplace-Name: Robeco Asset Management, the Netherlands Author-Name: Anne Opschoor Author-Workplace-Name: VU University Amsterdam, the Netherlands Author-Name: Dick van Dijk Author-Workplace-Name: Erasmus University Rotterdam, the Netherlands Title: Forecasting Value-at-Risk under Temporal and Portfolio Aggregation Abstract: We examine the impact of temporal and portfolio aggregation on the quality of Valueat-Risk (VaR) forecasts over a horizon of ten trading days for a well-diversified portfolio of stocks, bonds and alternative investments. The VaR forecasts are constructed based on daily, weekly or biweekly returns of all constituent assets separately, gathered into portfolios based on asset class, or into a single portfolio. We compare the impact of aggregation to that of choosing a model for the conditional volatilities and correlations,the distribution for the innovations and the method of forecast construction. We find that the level of temporal aggregation is most important. Daily returns form the best basis for VaR forecasts. Modeling the portfolio at the asset or asset class level works better than complete portfolio aggregation, but differences are smaller. The differences from the model, distribution and forecast choices are also smaller compared to temporal aggregation. Classification-JEL: C22, C32, C52, C53, G17 Keywords: forecast evaluation, aggregation, Value-at-Risk, model comparison File-Url: https://papers.tinbergen.nl/15140.pdf File-Format: application/pdf File-Size: 603551 bytes Handle: RePEc:tin:wpaper:20150140