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Answer: SGD 101.09 - SGD 100.55 = SGD 0.54
**Explanation:** Option A is correct. The impact of rate change is properly calculated as: - Value of bond using ending forward rate curve with beginning spread: SGD 101.09 - Minus value from carry roll-down calculation: SGD 100.55 - Result: SGD 0.54 This follows the correct methodology for decomposing bond P&L where rate change impact is calculated after carry roll-down, using the beginning-of-period spread rather than the ending spread. Option B is incorrect because it uses the wrong spread (end-of-period instead of beginning-of-period). Option C is incorrect because it subtracts the initial price instead of the carry roll-down value. Option D is incorrect because it omits the spread entirely from the calculation.
Author: LeetQuiz Editorial Team
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Calculating the impact of the change in rates is the second step in decomposing the P&L of a bond, after calculating the carry roll-down. The impact of a rate change is calculated as the value of the bond at the end of the period using the ending forward rate curve (and the bond's beginning-of-period spread), minus the end-of-period value of the bond calculated using the forward rates assumed for the purpose of determining carry roll-down (which represent some sense of "no change" in the interest rate environment). The value of the bond under the ending forward rate curve is:
Therefore, the impact of the rate change is:
A
SGD 101.09 - SGD 100.55 = SGD 0.54
B
Uses the end-of-period spread of 20 bps in the above calculation rather than the beginning-of-period spread of 30 bps
C
Subtracts the bond's initial price, rather than the value from the carry roll-down calculation, from the value produced in the change in rates calculation: 101.09 - 100.35 = 0.74
D
Omits the spread from the above calculation of the impact of the change in rates
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