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Suppose that you buy $10M of 10-year par-coupon T-bonds and shorting $10M of 2-year par-coupon T-bonds. Let us assume that modified duration of 10-year bond

Suppose that you buy $10M of 10-year par-coupon T-bonds and shorting $10M of 2-year par-coupon T-bonds. Let us assume that modified duration of 10-year bond is 7 and modified duration of 2-year bond is 1.8. (a) How much money would you make or lose if the entire yield curve moves upward in parallel by 10 bps today? (b) How much money would you make or lose if 10-year yield moves up by 10 bps and 2-year yield moves down by 5 bps today?

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