A fixed-income desk quantitative analyst at an investment bank aims to predict future short-term interest rates using the Vasicek model. This model is defined by the following equation: \[dr = k * (e - r) * dt + g* dw\] In this context: - \(dr\) represents the change in the short-term interest rate, - \(e\) is the expected long-term average of the short-term interest rate, - \(k\) denotes the speed of mean reversion, - \(r\) is the current short-term interest rate, - \(\sigma\) is the annual volatility of the short-term interest rate, quantified in basis points, - \(dt\) signifies the time period in years, and - \(dw\) is a random variable that follows a normal distribution with zero mean and a standard deviation equal to the square root of \(dt\). The following data has been gathered for the analysis: - Current short-term interest rate (\(r\)): 3.35% - Long-term expected short-term interest rate (\(e\)): 4.55% - Mean reversion rate (\(k\)): 0.06 - Annual volatility in basis points (\(\sigma\)): 120 bps Using these inputs, the analyst constructs an interest rate tree and projects the anticipated short-term interest rate for the 8th year. Additionally, the analyst calculates the time required for the short-term interest rate to revert halfway to its long-term average. Based on this analysis, what would be an accurate statement for the analyst to make? | Financial Risk Manager Part 2 Quiz - LeetQuiz