In one of the practice questions, I am asked to calculate IC and TCs of three different managers. As I am looking at the answers, I cannot figure out how it is done…

Question goes that Manager 1 has four securities, with expected return of 0.03, 0.04, 0.05, and 0.06.

Risk is 0.17, 0.1, 0.12, and 0.25 respectively.

Realized returns are 0.06, 0.07, 0.04, and 0.02 respectively.

Changes in weighting is -0.125, 0.025, 0.075, and 0.025 respectively.

So far I understand that you need to calculate the returns on a ‘per unit of risk’ basis. So I’ve done that. But how do you get to the IC? The answer shows 0.5335.

I would make one correction to the above: TC = correlation btw realized return / risk and change in weights x risk

You have to calculate the correlations (Covariance / st. deviation x st. deviation). One of the blue box examples explains it in details if you would not remember from LI.

But I don’t think we’ll have such a question as it takes long to clalculate correlation manually.

I’m using HP calculator, there’s no correlation function (or I don’t know about it???) so really it would be killing. But good to know the concept IC and TC contain.