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Please note: Show all your work. Correct answers without back-up calculations will not receive full credit. Round answers to two decimal places but do calculations

Please note: Show all your work. Correct answers without back-up calculations will not receive full credit. Round answers to two decimal places but do calculations to (at least) four decimal places.

1. Assume that it is February 15, 2014 and there are exactly 10 six-month time periods remaining until maturity for a 30-year US Treasury bond that was originally issued on February 15, 1989. The bond matures on February 15, 2019 and has a coupon rate of 8.875%. The coupons are paid semi-annually. The yield to maturity is 4.55%. The bond was sold in face value increments of $100. Using either the PVA formula or the bond pricing formula (discounting of cash flows), what is the current price of the bond? Begin with the general formula. Show all your work. Is the bond priced at a premium, discount, or at par? And, why? Explain.

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