Example 1: Everything fell together
A sudden risk-off shock hits, and a trader who believed their several positions were diversified watches them all lose at once: equities, a growth-sensitive currency, and a commodity all dropping together while havens rallied. In calm markets these had moved fairly independently, but in the stress event the only thing that mattered was risk appetite, and the correlations spiked toward one. The diversification was real in calm conditions and illusory in the stress that the trader most needed it to hold, which is the recurring trap of relying on calm-period relationships.
