Duck and Fox

Imagine a duck swimming in a circular pond, and a fox circling around the edge. The fox is faster, but the duck is safe in the water. The duck needs to reach the shore to escape.

Written on: 2025-01-05

Fastest Descent

Also known as the Brachistochrone problem: we release a ball from the top of a slope, how do we shape the slope to minimize the time of descent?

Written on: 2024-12-20

CAPM

As rational investors, we worry about the expected wealth and the volatility (fluctuations) of our wealth. But since terminal wealth and return shares a linear relationship, we can instead focus on the distribution of returns instead of our terminal wealth.

Written on: 2020-10-18