The free boundary of a calendar spread
◆◆◇“Buy it at two standard deviations” is a rule. Can you derive the rule that survives transaction costs?
DESK READ
PHYSICAL MECHANISM
What makes this relationship exist at all.THE SETUP
Let S(t) = Cal+1 − Cal+2. Assume the spread mean-reverts around θ. You can enter long when the spread is cheap, pay round-trip cost c, and exit at the target.
PREREQUISITES
DESK EXPRESSION
Conditional long Cal+1 / short Cal+2 when the spread clears the cost-adjusted entry boundary; size for liquidity and exit at fair value or regime break.
WHAT TO VERIFY
WHERE IT BREAKS
LIVE SKETCH
Entry boundary, not a z-scoreA simulated spread path meets an entry boundary.
TRADE FRAME
Turn the model into a testable position.IMPLEMENTATION SPEC
What you would actually code.PM MEMO / ALLOCATION DECISION
WHY THIS TRADE FAILS
POSITION SIZING
HIDDEN CONVEXITY / FRAGILITY / MODEL RISK
BAYESIAN TRACKER
Update a regime view in odds form. Correlated observations are discounted, so ten runs of one model are not ten independent updates.