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Advanced Proof

Delta-Neutral Hedging: Constructing and Maintaining Riskless Portfolios

Students often assume Δ \Delta is static. In reality, Δ \Delta changes as S S fluctuates; this is 'Gamma risk'. If you do not dynamically rebalance your portfolio, the hedge decays, and the riskless condition is violated, leaving you exposed to directional market moves.
Institutional Reference: Advanced Stochastic Processes
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