Value‐at‐Risk under Measurement Error

B-Tier
Journal: Oxford Bulletin of Economics and Statistics
Year: 2024
Volume: 86
Issue: 3
Pages: 690-713

Authors (3)

Mohamed Doukali (not in RePEc) Xiaojun Song (not in RePEc) Abderrahim Taamouti (University of Liverpool)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

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

Abstract

We propose a method for estimating Value‐at‐Risk that corrects for the effect of measurement errors in stock prices. We show that the presence of measurement errors might pose serious problems for estimating risk measures. In particular, when stock prices are contaminated, existing estimators of Value‐at‐Risk are inconsistent and might lead to an underestimation of risk, which can result in extreme leverage ratios within the held portfolios. Using a Fourier transform and a deconvolution kernel estimator of the probability distribution function of actual latent prices, we derive a robust estimator of Value‐at‐Risk in the presence of measurement errors. Monte Carlo simulations and real data analysis illustrate satisfactory performance of the proposed method.

Technical Details

RePEc Handle
repec:bla:obuest:v:86:y:2024:i:3:p:690-713
Journal Field
General
Author Count
3
Added to Database
2026-01-29