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Answer: When short-term rates are negative, the financial analyst sets the rate to zero.
The correct answer is C: When short-term rates are negative, the financial analyst sets the rate to zero. This approach is taken because negative short-term interest rates, while possible in certain models, do not make much economic sense. Market participants would prefer to hold cash and earn a zero return rather than lend at a negative interest rate. To address this issue in interest rate trees, the analyst can set all negative interest rates to zero, which localizes the change to the specific points in the distribution where negative rates occur, while preserving the rest of the rate tree. This method is more appropriate than adjusting risk-neutral probabilities or volatility, as those changes would affect the entire range of interest rates and not just the negative ones. Despite the potential for negative rates, the model can still be useful in certain valuation scenarios, such as coupon bonds, where the valuation depends more on the average path of the interest rate.
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A financial analyst is currently tasked with determining the value of a 5-year call option on a 5-year Treasury note using a well-established pricing model. Given the current environment of high interest rate volatility, the analyst is particularly concerned about how this may influence short-term interest rates, which are a crucial factor in the option pricing calculation. Considering the potential occurrence of negative short-term interest rates within the model, which of the following actions would be most effective in addressing this issue?
A
When short-term rates are negative, the financial analyst adjusts the risk-neutral probabilities.
B
When short-term rates are negative, the financial analyst increases the volatility.
C
When short-term rates are negative, the financial analyst sets the rate to zero.
D
When short-term rates are negative, the financial analyst sets the mean-reverting parameter to 1.