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Answer: Setting the interest rate to zero
The correct answer is C: Setting the interest rate to zero. This approach is recommended because negative short-term interest rates, while theoretically possible, do not align with economic logic as market participants would not lend money at a negative rate when they can hold cash and earn a zero return. To address this issue in the pricing model, the analyst can set all negative interest rates to zero. This method effectively localizes the change to the specific points in the distribution that correspond to negative rates, while keeping the original rate tree intact for all other observations. This is a more targeted and less disruptive adjustment compared to altering risk-neutral probabilities, which would affect the entire range of interest rates and might not be the optimal solution. The explanation also notes that despite the potential for negative rates, the model can still be useful in certain situations, particularly when valuation depends more on the average path of the interest rate, such as in the case of coupon bonds. Therefore, the possibility of negative rates does not necessarily render the model unusable.
Author: LeetQuiz Editorial Team
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In a scenario where a validated pricing model is producing negative short-term interest rates, which could lead to inaccurate valuation of a 5-year call option on a 5-year Treasury note, particularly in a period of high interest rate volatility, what would be the most suitable action for a financial analyst to take in order to address this issue effectively?
A
Adjusting the risk-neutral probabilities
B
Increasing the volatility
C
Setting the interest rate to zero
D
Setting the mean-reverting parameter to 1
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