Diversified VaR of two positions
A book holds two positions: $1,000,000 in asset A (daily return σ = 2%) and $1,000,000 in asset B (daily return σ = 3%), with return correlation . Returns are jointly normal (mean ≈ 0). Compute the combined 95% 1-day VaR of the book, in dollars, using . (Round to the nearest hundred dollars.)
Show hints (2)+
- Combine the dollar vols with before applying .
- Then VaR ; compare to the naive sum of standalone VaRs to see the diversification benefit.
Answer
Reveal answer →Final answer
71700 (± 300)
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