Note 4's exam questions are derivations: every one is a quadratic objective, a gradient or Lagrangian, and a -shaped answer with comments. This file lists the six standard derivations in markable steps, with the interpretation sentences that earn the final marks. The deepest two (fully-invested MV; turnover) have full walk-throughs elsewhere — links inline.
In this lesson
- 9.1 Template: unconstrained MV optimum
- 9.2 Template: constrained MV via Lagrange
- 9.3 Template: optimal alpha model weights
- 9.4 Template: turnover formula
- 9.5 Template: optimal trade with costs
- 9.6 Template: Fundamental Law derivation
- 9.7 Quick-recall facts
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