Suppose you bought a five-year zero-coupon Treasury bond for $800 per $1000 face value. What is the yield to maturity (annual compounding) on the bond?
Suppose you bought a five-year zero-coupon Treasury bond for $800 per $1000 face value. What is the yield to maturity (annual compounding) on the bond?
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Suppose you bought a five-year zero-coupon Treasury bond for $800 per $1000 face value. What is the yield to maturity (annual compounding) on the bond?
Expert Solution

Step 1
Zero coupon Bond is the bond issued at discount and no interest is paid during the life of the bond.
ZCB price (P0) = Face Value/(1+YTM)n
(1+YTM)n = Face Value/P0
(1+YTM) = ( Face Value/P0 )(1/n)
YTM = [ ( Face Value/P0 )(1/n) ] -1
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