In a calm year the correlation between weekly returns of a stock and the Nifty is 0.3. In a crisis Nifty's variance rises fivefold (). (a) Under the model of Proposition 2.15, what crisis correlation would you measure? (b) In another crisis, with the same , you measure 0.7. What calm-period correlation would explain this with no change in the underlying relation? If the actual calm correlation was 0.3, what do you conclude? (c) Why is the Forbes–Rigobon adjustment not a reason to ignore crisis correlations when sizing positions?
M02 · Problem 13 ★★ Check
Is correlation really rising?
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