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(i) List down the 3 conditions of the Redington immunization. (You may write out the mathematical expressions instead of the English terms.) (ii) A company must pay a benefit of $5,000 to a customer in two years. To provide for this benefit, the company will buy one-year and three-year zero-coupon bonds. The one-year and three-year spot rates are 7% and 12%, respectively. The company wants to immunize itself from small changes in interest rates on either side of 12%. Let X be the amount invested in the one-year bond, and let Y be the amount invested in the three-year bond. Determine X and Y. Then, check whether Redington immunization is achieved for the company