A residual bootstrap for conditional Value-at-Risk

A-Tier
Journal: Journal of Econometrics
Year: 2024
Volume: 238
Issue: 2

Authors (3)

Beutner, Eric (not in RePEc) Heinemann, Alexander (not in RePEc) Smeekes, Stephan (Maastricht University)

Score contribution per author:

1.341 = (α=2.01 / 3 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

A fixed-design residual bootstrap method is proposed for the two-step estimator of Francq and Zakoïan(2015) associated with the conditional Value-at-Risk. The bootstrap’s consistency is proven for a general class of volatility models and intervals are constructed for the conditional Value-at-Risk. A simulation study reveals that the equal-tailed percentile bootstrap interval tends to fall short of its nominal value. In contrast, the reversed-tails bootstrap interval yields accurate coverage. We also compare the theoretically analyzed fixed-design bootstrap with the recursive-design bootstrap. It turns out that the fixed-design bootstrap performs equally well in terms of average coverage, yet leads on average to shorter intervals in smaller samples. An empirical application illustrates the interval estimation.

Technical Details

RePEc Handle
repec:eee:econom:v:238:y:2024:i:2:s0304407623002701
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-29