Financial Risk Manager Part 2

Financial Risk Manager Part 2

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  1. Within the framework of the Cox-Ingersoll-Ross (CIR) model, which is utilized for modeling the evolution of short-term interest rates and capturing their volatility, which of the following statements correctly depicts the nature of the relationship between the volatility of yields and the volatility measured in basis points?




Explanation:

Explanation C is correct. In the Cox-Ingersoll-Ross (CIR) model, basis-point volatility is a function of the yield volatility, which is assumed to be constant and the square root of the short rate. Therefore, by assumption, yield volatility is constant and basis-point volatility varies. Option A is incorrect because the CIR model states that when short-term interest rates are very low, basis-point volatility will also be very low, which decreases the possibility of negative interest rates. This possibility can be removed entirely if a positive drift factor that is larger than the impact of volatility is included in the model. Option B is incorrect as in the CIR model, basis-point volatility is specified as an increasing function of the short rate. Option D is incorrect because basis-point volatility and yield volatility are measured in different units, but they do not measure the same volatility in the CIR model.