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Please show steps and calculations. I will upvote for a thorough answer! A trader implements a duration-neutral strategy that consists in buying a cheap bond

Please show steps and calculations. I will upvote for a thorough answer!
A trader implements a duration-neutral strategy that consists in buying a cheap bond and selling a rich bond. This is the rich and cheap bond strategy. Today, the rich and cheap bonds have the following characteristics: Bond Coupon (%) Maturity (years) YTM (%) Rich 5 10 7.50 Cheap 12 7.75 5.5 Coupon frequency and compounding frequency are assumed to be annual. Face value is $100 for the two bonds. Compute the BPV of the two bonds and find the hedge position

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