Thinking In Options with Bill Johnson

Risk Always Finds the Diagonal


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Last week, Bill Johnson explored why entering spreads one leg at a time can expose traders to hidden dangers. This week, he takes the concept further with a powerful idea: risk never disappears—it migrates.

Through a clever riddle involving a five-foot pipe, a bus, and a simple geometric trick rooted in the Pythagorean theorem, Bill reveals a deeper truth about markets—when rules or strategies try to constrain risk, it simply shifts… often into places traders aren't looking.

From there, the episode connects geometry to trading reality:

  • Why rules and regulations don't eliminate risk—they redefine it
  • How incentives reshape behavior (and can make systems worse)
  • The critical difference between stock risk (linear) and options risk (rotated and conditional)
  • Why volatility, skew, and "unknown risks" exist—and why the market often senses danger before traders do

Using analogies ranging from dice rolls to 3D space—and even a nod to Wile E. Coyote—Bill explains why the most dangerous risks aren't the ones you can name, but the ones created by interactions between price and time.

The key takeaway: Risk lives on the diagonal—hidden in the interaction between variables, not along the axes traders typically watch.

Before you assume an opportunity is "safe" or volatility is "too high," this episode will challenge how you think about risk—and where it might be hiding.

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Thinking In Options with Bill JohnsonBy Bill Johnson