
Financial Risk Manager Part 2
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The Chief Risk Officer (CRO) of a hedge fund has tasked the risk department with developing a term-structure model that can effectively adjust interest rates for the fund's options pricing strategy. The risk department is evaluating different interest rate models, specifically those that feature both time-varying drift and time-varying volatility. Which model accurately represents these characteristics?
The Chief Risk Officer (CRO) of a hedge fund has tasked the risk department with developing a term-structure model that can effectively adjust interest rates for the fund's options pricing strategy. The risk department is evaluating different interest rate models, specifically those that feature both time-varying drift and time-varying volatility. Which model accurately represents these characteristics?
Explanation:
The correct answer is C. In the Cox-Ingersoll-Ross (CIR) model, the basis-point volatility of the short-term rate is assumed to be proportional to the square root of the rate, and short-term rates cannot be negative. This is because the basis-point volatility is defined as , where is the constant of proportionality and is the short-term rate. This relationship ensures that volatility is zero when the short-term rate is zero, which prevents negative rates. The CIR model is particularly useful for modeling interest rates because it allows for mean reversion and ensures that interest rates remain positive, which is a realistic assumption for financial markets.