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 Price per $1 of Face value Yield per Maturity year 1 year 0.95 5.26% 2 years 0.88 6.60% 3 years 0.80 7.72% 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?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter4: Bond Valuation
Section: Chapter Questions
Problem 8MC: Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for...
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8
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
Yield per
Price per $1 of
Face value
Maturity
year
1 year
0.95
5.26%
2 years
0.88
6.60%
3 years
0.80
7.72%
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?
Transcribed Image Text: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 Yield per Price per $1 of Face value Maturity year 1 year 0.95 5.26% 2 years 0.88 6.60% 3 years 0.80 7.72% 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?
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