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Consider three zero-coupon bonds of maturities 5, 10, and 25. A trader constructed a butterfly portfolio using the three bonds. Suppose the current yields are

Consider three zero-coupon bonds of maturities 5, 10, and 25. A trader constructed a butterfly portfolio using the three bonds. Suppose the current yields are flat at 5% and the market value of the bullet is 1 million.

(a) Determine the composition of the butterfly.

(b) If the yields go down by 50 bps, compute the price change of the butterfly.

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