Jump Risk — The Dollar Dictionary

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Finance

Jump Risk

The risk that an asset's price will experience a sudden, large discontinuous move — a 'jump' — rather than moving gradually, making traditional risk models based on continuous price movement inadequate.

Jump risk is a key limitation of standard options pricing models like Black-Scholes, which assume continuous price movement (Brownian motion). In reality, asset prices jump — driven by earnings surprises, regulatory decisions, geopolitical events, and corporate announcements. Models that ignore jumps systematically underprice deep out-of-the-money options, which are the instruments most affected by jump risk.

Merton's Jump Diffusion Model (1976) extended Black-Scholes to incorporate jump processes, better capturing the fat tails observed in real return distributions. Risk managers in sophisticated institutions use jump-adjusted VaR models and stress tests that simulate large discontinuous moves — because normal distribution-based models consistently underestimate the probability and severity of extreme events.

Standard risk models assume prices move like a car on a highway — smoothly and continuously, with gradual acceleration and braking. Jump risk acknowledges that sometimes prices teleport — a company announces fraud at 4pm and opens the next morning 60% lower. No amount of stop-loss orders protects against a gap that large because the price never passed through the levels in between.

Real world: When Enron's accounting fraud was revealed in 2001, the stock went from $90 to essentially zero within weeks — with multiple overnight gap-downs that investors couldn't exit through. More recently, when the FDA rejects a drug's approval, biotech stocks routinely gap down 70-80% at the open. These jumps are discontinuous — the risk models that assume gradual movement massively underestimate actual portfolio risk.

💡 Jump risk is what standard models miss — markets don't always move gradually, and the most dangerous losses come from overnight gaps that bypass every risk control designed for continuous price movement.

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