Investment: Long-term Interest Rates
elee131
hw7.docx
MODULE 7 GROUP HOMEWORK
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1. [4pts] Define and explain the functions provided by futures exchanges.
2. [4pts] Suppose you were short in a September T-bond futures contract at 93-16. What would your profit or loss be at the September expiration if the cheapest deliverable bond you could purchase in the market were a 15-year, 7% T-bond trading at 115 (clean price) that had accrued interests of $2 and a conversion factor of 1.25?
3. [4pts] Explain the similarities and differences between an FRA tied to the LIBOR and a Eurodollar futures contract.
4. [8pts] Mr. Devine is a fixed-income portfolio manager. He forecast a cash outflow of $10 million in June and plans to sell his baseline bond portfolio. The fund currently is worth $10 million, has an “A” quality rating, duration of 7 years, weighted average maturity of 15 years, annual coupon rate of 10.25%, and YTM of 10.25% (note: the fund is selling at its par value). Suppose Mr. Devine is afraid that long-term interest rates could increase and decides to hedge his June sale by taking a position in June T-bond futures contracts when the June T-bond contract is trading at 80-16, and the T-bond most likely to be delivered on the contract has a YTM of 9.5%, maturity of 15 years, and a duration of 9 years.
(1) [4pts] Using the price-sensitivity model, show how Mr. Devine could hedge his June bond portfolio sale against interest rate risk.
(2) [4pts] Suppose long-term interest rates increase over the period such that at the June expiration, Mr. Devine’s baseline portfolio (A-rated, 10.25% coupon rate, 15-year maturity, and 7-year duration) is trading at 96 of par, and the price on the expiring June T-bond contract ( fT) is 76. Determine Mr. Devine’s revenue from selling his baseline bond portfolio, his profit on the futures contracts, and his total revenue.
Fixed-Income
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