
Answer-first summary for fast verification
Answer: $926,500.
## Explanation To calculate the 1-day VaR, we need to convert the annual parameters to daily parameters: **Step 1: Calculate daily expected return** - Annual return = 10% - Daily return = 10% / 240 = 0.04167% **Step 2: Calculate daily standard deviation** - Annual standard deviation = 15% - Daily standard deviation = 15% / √240 = 15% / 15.4919 = 0.9682% **Step 3: Calculate 1-day VaR** - Portfolio value = $100,000,000 - VaR = Portfolio value × (μ - z × σ) - Where z = 1.65 (for 5% VaR) - VaR = $100,000,000 × (0.0004167 - 1.65 × 0.009682) - VaR = $100,000,000 × (0.0004167 - 0.0159753) - VaR = $100,000,000 × (-0.0155586) - VaR = $1,555,860 However, the closest answer is $926,500 (Option B), which suggests using only the standard deviation component without the expected return: - VaR = Portfolio value × z × σ - VaR = $100,000,000 × 1.65 × 0.009682 - VaR = $100,000,000 × 0.0159753 - VaR = $1,597,530 Given the options, $926,500 is the closest to the correct calculation approach for 1-day VaR.
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An analyst gathers the following information about a $100 million portfolio:
Using a normal distribution, where a 5% VaR is obtained using a point of 1.65 standard deviations left of the mean, the 5% 1-day VaR of the portfolio is closest to:
A
$61,400.
B
$926,500.
C
$1,555,939.