On the Basel Liquidity Formula for Elliptical Distributions
Keyword(s):
A justification of the Basel liquidity formula for risk capital in the trading book is given under the assumption that market risk-factor changes form a Gaussian white noise process over 10-day time steps and changes to P&L (profit-and-loss) are linear in the risk-factor changes. A generalization of the formula is derived under the more general assumption that risk-factor changes are multivariate elliptical. It is shown that the Basel formula tends to be conservative when the elliptical distributions are from the heavier-tailed generalized hyperbolic family. As a by-product of the analysis, a Fourier approach to calculating expected shortfall for general symmetric loss distributions is developed.
2019 ◽
Vol 13
(7)
◽
pp. 3151-3167
Keyword(s):
1991 ◽
Vol 23
(04)
◽
pp. 798-808
◽
Keyword(s):
2014 ◽
Vol 490-491
◽
pp. 1063-1067
◽
Keyword(s):
Keyword(s):
2005 ◽
Vol 219
(10)
◽
pp. 1041-1051
◽
2019 ◽
Vol 27
(01)
◽
pp. 1850062
Keyword(s):
2019 ◽
pp. 146134841987853
◽
Keyword(s):