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Unformatted text preview: Solutions to **NEW** Problem Set 6 Investments Prof. Pierre-Olivier Weill 1. Suppose you buy a seven-year zero-coupon Treasury bond, with a face value of $1000, at a price P = $600. Answer the following questions: (a) What is the yield to maturity (YTM) on the bond? (assume annual compounding) Solution: By definition the YTM of the bond is equal to parenleftbigg 1000 600 parenrightbigg 1 / 7- 1 = 7 . 57% (b) Suppose that, in year t = 1, the YTM of the bond increases to 10% and remains equal to 10% until year t = 7. i. Calculate your annualized holding period return if you buy the bond in year t = 0 and sell it in year t = 1. ii. Calculate the annualized holding period return if you buy the bond in year t = 1 and sell it in year t = 7. iii. Calculate your annualized holding period return if you buy the bond in year t = 0 and sell it in year t = 2. Solution: If, in year t = 1, the YTM is equal to 10%, then the price of the bond is P 1 = 1000 (1 + 0 . 1) 6 = $564 . 4739 , keeping in mind that, at t = 1, there are only 6 years left to maturity. Similarly, the price in year t = 2 is equal to P 2 = 1000 (1 + 0 . 1) 5 = $620 . 9213 . Lastly, the price in year 7 is always equal to $1000. Thus the annualized holding period return from buying the bond at t = 0 and selling at t = 1 is P 1 P- 1 = 564 . 4739 600- 1 =- 5...
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This note was uploaded on 02/04/2010 for the course ECON 106v taught by Professor Miyakawa during the Spring '08 term at UCLA.
- Spring '08