Therefore, the Daily Earnings at Risk for the fixed-income securities component is $5,264 and the DEAR for foreign exchange contracts is €37,259.25.
Explanation:
Let's calculate the DEAR for each component of the portfolio using the formula:
DEAR = Portfolio Value × Z-Score × Standard Deviation
where:
Portfolio Value is the value of the specific component in the portfolio.
Z-Score corresponds to the desired confidence level (90% confidence limit is approximately 1.645).
Standard Deviation is the historical standard deviation of the component's returns.
Fixed-income securities:
Z-score for 90% confidence level = 1.645 (from standard normal distribution)
Portfolio Value = $1,000,000
Volatility = 32 basis points = 0.32%
DEAR = 1.645 * $1,000,000 * 0.32% = $5,264
Foreign exchange contracts:
Z-score for 90% confidence level = 1.645 (from standard normal distribution)
Portfolio Value = €3,000,000
Volatility = 75.5 basis points = 0.755%
DEAR = 1.645 * €3,000,000 * 0.755% = €37,259.25 |