Non-Linear✓ Mathematical
◆ The PatternProtective puts, collars, and delta-neutral overlays
Options provide non-linear hedging: a protective put caps downside while preserving upside. A collar finances the put by selling an upside call, reducing net cost.
Collar payoff = Stock + Put(K1) − Call(K2)
Delta hedging continuously adjusts the hedge ratio. The cost is realized volatility — if realized vol < implied vol, the hedge is profitable; otherwise it is a drag.
// Interactive — put strike and payoff profile
Put strike %
| Strategy | Max Loss | Max Gain | Net Cost |
|---|---|---|---|
| Protective put | Premium | Unlimited | Premium paid |
| Collar | Floored | Capped | Low / zero |
| Delta hedge | Slippage | Vol spread | Variable |
Pattern bridge: Option Greeks appear in Chart Patterns.