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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