Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2015-07-09 Number: 15-083/III Author-Name: Francisco Blasques Author-Workplace-Name: VU University Amsterdam, the Netherlands Author-Name: Siem Jan Koopman Author-Workplace-Name: VU University Amsterdam, the Netherlands Author-Name: Katarzyna Lasak Author-Workplace-Name: VU University Amsterdam, the Netherlands Author-Name: André Lucas Author-Workplace-Name: VU University Amsterdam, the Netherlands Title: In-Sample Confidence Bands and Out-of-Sample Forecast Bands for Time-Varying Parameters in Observation Driven Models Abstract: We study the performance of alternative methods for calculating in-sample confidence and out of-sample forecast bands for time-varying parameters. The in-sample bands reflect parameter uncertainty only. The out-of-sample bands reflect both parameter uncertainty and innovation uncertainty. The bands are applicable to a large class of observation driven models and a wide range of estimation procedures. A Monte Carlo study is conducted for time-varying parameter models such as generalized autoregressive conditional heteroskedasticity and autoregressive conditional duration models. Our results show clear differences between the actual coverage provided by the different methods. We illustrate our findings in a volatility analysis for monthly Standard & Poor’s 500 index returns. Classification-JEL: C52, C53 Keywords: autoregressive conditional duration, delta-method, generalized autoregressive File-Url: https://papers.tinbergen.nl/15083.pdf File-Format: application/pdf File-Size: 265023 bytes Handle: RePEc:tin:wpaper:20150083