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What is a consol bond? What is the duration of a consol bond that sells at a yield to maturity of 8 percent? 10 percent? 12 percent? Would a consol trading at a yield to maturity of 10 percent have a greater duration than a 20-year zero-coupon bond trading at the same yield to maturity? Why?
D = 1 + 1/R
A consol is a bond that pays a fixed coupon each year forever. A consol trading at a YTM of 10 percent has a duration of 11 years, while a 20-year zero-coupon bond trading at a YTM of 10 percent, or any other YTM, has a duration of 20 years because no cash flows occur before the twentieth year.
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