Tags » Separation Theorem

[FM] Portfolio Selection with a Risk-free Asset

For all his insights on the portfolio choice problem, somehow Markowitz didn’t explicitly consider a bank in the system. In principle, of course, one could have solve the problem by just adding one more security in his set up. 938 more words

Teaching: FM

[FM] Foundations of the NPV Rule (Wonkish)

If you came looking for the summary of session 2 and found this post instead, stop right now and click here.

(So yes, any blog post which you see here with ‘Wonkish’ attached to the title – just like this one – can be safely skipped without any loss of understanding of what comes later. 3,009 more words

Teaching: FM

The Hahn-Banach theorem, Menger's theorem, and Helly's theorem

In the previous post, I discussed how an induction on dimension approach could establish Hilbert’s nullstellensatz, which we interpreted as a result describing all the obstructions to solving a system of polynomial equations and… 2,634 more words

Expository