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Consider an asset worth USD 1 million whose 95th percentile VaR is USD 100,000 (computed using the parametric method assuming the normal distribution). Suppose the bid-ask spread (which is also normally distributed) on the asset has a mean of 0.10 and a standard deviation of 0.30. What is the 95th percentile liquidity adjusted VaR assuming the confidence parameter of thespread is equal to 1.96?
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A) USD 200,000
B) USD 344,000
C) USD 444,000
D) USD 688,000
答案:C
解析:100,000 + 0.5 × (0.10 + 0.30 × 1.96) × 1,000,000 = 444,000
Atrader observes a quote for Stock ZZZ, and the midpoint of its current best bid and best ask prices is CAD 35. ZZZ has an estimated daily return volatility of 0.25% and average bid-ask spread of CAD 0.1.Assuming the returns of ZZZ are normally distributed, what is closest to the estimated liquidity-adjusted, 1-day 95% VaR, using the constant spread approach on a 10,000 share position?
A) CAD 1,000
B) CAD 1,940
C) CAD 3,000
D) CAD 4,000
答案:B
解析:LVaR = 35×10,000×1.645×0.25% + 0.5×35×10,000×0.1/35 = 1940
Asset liquidity risk is most pronounced for
A) a $10 million position in distressed securities
B) a $10 million position in Treasury bonds
C) a $100 million position in distressed securities
D) a $100 million position in Treasury bonds
答案:C
解析:Asset liquidity risk is a function of the size of the position and the intrinsic liquidity of the instrument. Distressed securities trade much less than Treasury bonds, and so have more intrinsic liquidity.A$100 million position is more illiquid than a $10 million position in the same instrument.
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