Dynamically Adjusting Risk Limits to a Reference Index
Equity Vol (%)
Index Vol (%)
Multiple
Inflection (I)
Short Curvature (Cs)
Long Curvature (Cl)
Steps (N)
Max Limit (%)
Multiple:
Static Limit:
Dynamic Limit:
L(x) = Lmax · [ (π/2 + atan((x/I)^(-Cs) - (x/I)^Cl)) / (π/2 + atan((1/I)^(-Cs) - (1/I)^Cl)) ]