this lesson => Buffet said two things
=> (1) investor skill
=> (2) breadth / the number of investments
Grinold's Fundamental Law

breadth => more opportunities to applying that skill => eg. how many stocks you invest in
IC => information coefficient
BR => breadth / how many trading opportunities we have
The Coin Flipping Casino

Which bet is better?


Coin-Flip Casino: Risk


Coin-Flip Casino: Reward/Risk

Coin-Flip Casino: Observations

Coin-Flip Casino: Lessons
(1) higher alpha generates a higher sharpe ratio
(2) more execution opportunities provides a higher sharpe ratio
(3) sharpe ratio grows as the square root of breadth
Back to the real world

IR, IC and breadth


The Fundamental Law

skill is harder to be increased than breadth
Skill => introverted
Breadth => extroverted
Simons vs. Buffet


What is risk?

Visualizing return vs risk

Building a portfolio

Can we do better?

Harry discovered the relationship between stocks in terms of covariance
resulting of the portfolio is not just a blend of the various risks
right stocks picking => outliers
Why covariance matters



Mean Variance Optimization

The efficient frontier
