Utility of Active Return

Hello everyone,

I am looking at the formula which maximizes investors’ utility as:

U = E® - .005 x lambda x Var

However, I have also seen:

U=E® - lambda x Var

Why the .005 diff?

Depends on if you’re using whole numbers or decimals.

Whole numbers - u = 12% - 4(this is lambda)*.005* 6(variance)

vs

u = .12-4*.5*.06

The .5/.005 can’t go missing. that would be wrong.

Sorry I read this wrong initially.

When you are calculating utility in the case of an optimization problem of just different portfolios, you use E®-.005*lambda*var®

when you are calculating utility of active returns it’s u = e(r active)-lambda*total active risk.

There ya go sorry for the confusion.

In which reading do you get the utility of active return formula U=E® - lambda x Var ?

Reading 25 (equity portfolio management), section 7.

Remember it’s active return - lambda*active risk, not entire portfolio. Cheers.

The CFAI shouldn’t complicate the life of CFA candidates like that! Why don’t they make the Curriculum more consistent? :frowning:

Thank you!!!