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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
You ran a regression of the yield of TBR Company’s 10-year bond on the 10-year U.S. Treasury benchmark’s yield using month-end data for the past year. You found the fol- lowing result:
Yield TBR = 0.54 + 1.22 Yield Treasury
where Yield TBR is the yield on the TBR bond and Yield Treasury is the yield on the U.S. Treasury bond. The modified duration on the 10-year U.S. Treasury is 7.0 years, and modified duration on the TBR bond is 6.93 years.
Calculate the percentage change in the price of the 10-year U.S. Treasury, assuming a 50-basis-point change in the yield on the 10-year U.S. Treasury.
Calculate the percentage change in the price of the TBR bond, using the regression
equation, assuming a 50-basis-point change in the yield on the 10-year U.S. Treasury. 
| Â |
 Bond A |
 Bond B |
 |
|
Coupons |
Annual |
Annual |
 |
|
Maturity |
3 years |
3 years |
 |
|
Coupon rate |
10% |
6% |
 |
|
Yield to maturity |
10.65% |
10.75% |
 |
|
Price |
98.40 |
88.34 |
 |
|
 Term |
 Spot Rates (Zero Coupon) |
|
1 year |
5% |
|
2 year |
8% |
|
3 year |
11% |
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