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When estimating 10-day VaR values. Hull states that the Basil rules allow the 10-day 99% VaR to be calculated as VaR0,99,10 = V10 VaRo.99.1 where

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When estimating 10-day VaR values. Hull states that the Basil rules allow the 10-day 99% VaR to be calculated as VaR0,99,10 = V10 VaRo.99.1 where VaRo.99,1 is the 1 day 99% VaR computed from historical data as described in Hull. When computing 10 day VaRs. we commonly assume that there is no mean drift term for days 1 through 10. a Prove that if the daily returns Riare iid distributed ~N(0,0) for days 1, ..., 10, then the 10 day VaR satisfies: VaR(R; + R2 + ... + R10) = V10 VaR(R) b. Prove that the 10 day VaR satisfies cVaR(R2 + R2 + ... + R10) = V10 cVaR(R1)

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