Hedging Paradox: More Risk

This question focuses on when a hedge around an options position can perversely make the portfolio riskier instead of safer. The setup is an options book that is "risk-managed" by taking offsetting positions in related instruments, such as the underlying asset, correlated assets, or other derivatives. The candidate is asked to reason about how these positions behave under market stress, large moves, gaps, or changes in volatility, and how practical considerations like funding, margin, and liquidity feed back into risk. This type of reasoning is common in options market-making, structured products, and risk roles on derivatives desks.

Solving it leans on understanding option Greeks, dynamic hedging, non-linear payoffs, correlation breakdowns, and basis risk. Strong answers articulate scenarios where model assumptions fail, hedges become misaligned, or rebalancing is constrained, and connect that to path dependency and tail risk. Interviewers are watching for recognition that hedging is an ongoing process, not a one-time calculation, and for awareness of second-order effects such as transaction costs, gamma and vega exposure, and the operational risks introduced by complex hedge structures.

What it tests

The core structure of problems involving hedging risk is the interplay between correlated but imperfectly offsetting exposures. Hedging is not a guarantee of lower risk; it shifts risk from one dimension (e.g., directional movement) to another (e.g., basis risk, timing risk, or liquidity risk). The key is that hedges are constructed under assumptions about how instruments move together, but real-world frictions, discrete time, and non-linear payoffs mean that the hedge can sometimes amplify losses if those assumptions break down. This is especially true when the hedge itself is costly, or when the payoff profiles of the hedged and hedging instruments are not perfectly aligned (as with options and underlying stocks). The principle is that risk can be transformed, not always reduced, and sometimes the transformation exposes you to new, larger risks.