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A bond fund manager is evaluating the funds holding of various categories of bonds: (i) Calculate the bond portfolios current Macaulay duration and modified duration.

A bond fund manager is evaluating the funds holding of various categories of bonds: image text in transcribed

(i) Calculate the bond portfolios current Macaulay duration and modified duration. (ii) What is the approximate value of the portfolio if indeed the interest rate suddenly falls to 9% as expected? (iii) Suggest a strategy that the bond manager might adopt if he expects interest rates to fall even further to 9% across all maturities.

Bond Category A B D E Total market value $50 million $100 million $50 million $100 million $200 million Macaulay Duration 1 year 3 years 5 years yields to maturity Current Expected 10% 9% 10% 9% 10% 9% 10% 9% 10% 9% 7 years 12 years

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