The Value at Risk (VaR) is a statistical technique used to measure and quantify the level of financial risk within a firm or investment portfolio over a specific time frame. This metric is most commonly used by investment and commercial banks to determine the extent and occurrence of potential losses in their institutional portfolios. In this case, the VaR value of $1.7486 million for a 10-day two-asset portfolio with a correlation coefficient of 0.7 on a 99% confidence interval implies that there is a 1% chance that the portfolio will experience a loss exceeding $1.7486 million over a 10-day period. This means that only once in a hundred 10-day periods (i.e., once every 1,000 days) will this VaR amount be exceeded. This interpretation is based on the assumption that market conditions remain normal, and it provides a worst-case scenario with a 99% confidence level. It's important to note that VaR does not indicate the maximum loss expected, nor does it provide any insight into losses beyond the VaR threshold.

Choice B is incorrect. The statement is misleading as it suggests that we are 99% confident of losing more than $1.7486 million, which is not the correct interpretation of VaR. VaR at a 99% confidence level means that there is a 1% chance (or less) that losses will exceed this amount in the specified period.

Choice C is incorrect. This statement incorrectly interprets the time frame and the confidence level of VaR. The calculated VaR value pertains to a 10-day period, not a year, and it represents an upper limit on potential losses with a certain degree of confidence (99%), not a lower limit.

Choice D is incorrect. This choice misinterprets the frequency at which this loss could be exceeded based on our confidence level and time horizon. A 99% VaR over a 10-day period does not imply that such loss would only be exceeded once every 10,000 days.

Things to Remember

• VaR (Value at Risk) is a measure of the potential loss on an investment or portfolio over a specific time period and with a certain level of confidence.
• Correlation coefficient measures the degree to which the movements of two assets are related. A correlation of 1 means perfect positive correlation, -1 means perfect negative correlation, and 0 means no correlation.
• A 99% confidence level VaR implies that there is a 1% chance (or less) that losses will exceed the VaR amount in the specified time period.
• VaR does not provide information on the maximum loss that could occur, nor does it provide any insight into losses beyond the VaR threshold.