If we increase the confidence level, does the VAR estimate increase or decrease?
AFAIK it increases.
Edit - should state in absolute terms
Bigger CI = bigger SD
Yep state in absolute. Var is usually a negative number reported as a positive number in absolute terms. Lower confidence interval leads to higher absolute var.
Higher
whoops my bad i was thinking about significance level.
a 1% Significance will have a Higher Var than a 5% Significance level.
so lower Significance level = Higher Confidence Interval= higher absolute VAR.