Exam 23: Removing Interest Rate Risk

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A $10,000 6-month T-bill sells for $9,800. What is its annualized yield to maturity?

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Suppose you are managing a bond portfolio with a current market value of $4.6 million. The bonds in this portfolio are priced at an average price of 98% of par and the duration of the portfolio is 12.62 years. If the cheapest to deliver bond for a Treasury Bond futures contract has a duration of 13.22 years, is priced at 97.5% of par, and has a conversion factor of 0.8315, how many Treasury Bond futures contracts would represent a 100% hedge?

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