Fixed Income Immunization: Duration and Convexity Matching A…

Fixed Income Immunization: Duration and Convexity Matching A pension fund must make a liability payment of $[liability] in [horizon] years. The fund currently holds a bond portfolio whose duration and convexity have been matched to those of the liability. The manager wants to estimate the effect of a large interest-rate shock immediately after the portfolio is purchased. Input Value Current Portfolio Value $[pv] Modified Duration [moddur] Convexity [conv] Interest-Rate Shock [dy]% Question: Using the duration-convexity approximation, estimate the new value of the portfolio immediately after the interest-rate change. Use: ΔP/P ≈ −MD·Δy + ½·Conv·(Δy)2 Enter the estimated new portfolio value in dollars. Round to the nearest dollar.

Fixed Income Risk Management: Duration-Convexity Approximati…

Fixed Income Risk Management: Duration-Convexity Approximation A pension fund manager oversees a portfolio containing a large position in a corporate bond. Following an upcoming Federal Reserve announcement, the manager wants to estimate the impact of a potential interest-rate change on the market value of the bond position. The manager has already estimated the bond’s modified duration and convexity and would like to use a duration-convexity approximation to estimate the resulting dollar gain or loss. Input Value Market Value of Bond Position $[mv] Modified Duration [moddur] Convexity [conv] Change in Yield [dy]% Question: Using modified duration and convexity, estimate the dollar change in the value of the bond position. Use the duration-convexity approximation: ΔP/P ≈ −MD·Δy + ½·Conv·(Δy)2 Enter your answer in dollars. Use a negative sign if the position loses value. Round to the nearest dollar.