Securities A, B, and C have the following cash flows: Period 1 Period 2 Period 3 A

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Securities A, B, and C have the following cash flows:

Period 1 Period 2 Period 3 A $ 40 $40 $ 40 B $120 — —

C $ 10 $10 $110

a. Calculate their durations if the interest rate is 8%.

b. Suppose that you have an investment of $10 million in A. What combination of B and C would immunize this investment against interest rate changes?

c. Now suppose that you have a $10 million investment in B. How would you immunize?

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