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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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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:

11+0.0072+0.0032+1(1+0.0072+0.0032)×(1+0.012+0.0032)+101(1+0.0072+0.0032)×(1+0.012+0.0032)×(1+0.0122+0.0032)\frac{1}{1 + \frac{0.007}{2} + \frac{0.003}{2}} + \frac{1}{\left(1 + \frac{0.007}{2} + \frac{0.003}{2}\right) \times \left(1 + \frac{0.01}{2} + \frac{0.003}{2}\right)} + \frac{101}{\left(1 + \frac{0.007}{2} + \frac{0.003}{2}\right) \times \left(1 + \frac{0.01}{2} + \frac{0.003}{2}\right) \times \left(1 + \frac{0.012}{2} + \frac{0.003}{2}\right)}1+20.007​+20.003​1​+(1+20.007​+20.003​)×(1+20.01​+20.003​)1​+(1+20.007​+20.003​)×(1+20.01​+20.003​)×(1+20.012​+20.003​)101​ =101.09= 101.09=101.09

Therefore, the impact of the rate change is:

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