Consider a zero coupon bond that promises to pay $100 each year for the next three years. Suppose we observe the set of zero coupon bond prices and its yields as below a) What is the price of this zero coupon bond? What is its yield to maturity? b) If the observe yield on two-year zero coupon bonds falls to 6% per year, but the other rates remain unchanged. What is your estimation of the value of the three-year annuity paying $100 per year? What is its yield to maturity?

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
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Consider a zero coupon bond that promises to pay $100 each year for the next three years. Suppose we observe the set of zero coupon bond prices and its yields as below a) What is the price of this zero coupon bond? What is its yield to maturity? b) If the observe yield on two-year zero coupon bonds falls to 6% per year, but the other rates remain unchanged. What is your estimation of the value of the three-year annuity paying $100 per year? What is its yield to maturity?
Price per $1 of
Yield per
Maturity
Face value
year
1 year
2 years
0.95
5.26%
0.88
6.60%
3 years
0.80
7.72%
Transcribed Image Text:Price per $1 of Yield per Maturity Face value year 1 year 2 years 0.95 5.26% 0.88 6.60% 3 years 0.80 7.72%
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