Problem 15: bond X has 20 years to maturity, a 9% annual coupon, and a $1,000 face value. The required rate of return is 10%. Suppose you want to buy the bond and you plan to hold the bond for 5 years. You expect that in 5 years, the yield to maturity on a 15-year bond with similar risk will be priced to yield 8.5%. How much would you like to pay for the bond today?

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 12P: Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may...
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• Exercise
ST-1 and ST-2
Problems: 5, 8, 9, 10, 13, and 15*
Problem 15: bond X has 20 years to maturity, a 9% annual coupon, and a $1,000
face value. The required rate of return is 10%. Suppose you want to buy the bond
and you plan to hold the bond for 5 years. You expect that in 5 years, the yield to
maturity on a 15-year bond with similar risk will be priced to yield 8.5%. How
much would you like to pay for the bond today?
1,000
90
20
90
90
90
90
1
5
19
PV3 =1,041.52 (I/YR=8.5%, PMT=90, N=15, FV=1,000)
PV, = 987.87 (I/YR=10%, PMT=90, N=5, FV=1,041.52)
Answer:
Step 1: figure out what should be the fair value of the bond after 5 years (PVs)
Step 2: figure out what should be the fair value of the bond now (PVo)
Transcribed Image Text:• Exercise ST-1 and ST-2 Problems: 5, 8, 9, 10, 13, and 15* Problem 15: bond X has 20 years to maturity, a 9% annual coupon, and a $1,000 face value. The required rate of return is 10%. Suppose you want to buy the bond and you plan to hold the bond for 5 years. You expect that in 5 years, the yield to maturity on a 15-year bond with similar risk will be priced to yield 8.5%. How much would you like to pay for the bond today? 1,000 90 20 90 90 90 90 1 5 19 PV3 =1,041.52 (I/YR=8.5%, PMT=90, N=15, FV=1,000) PV, = 987.87 (I/YR=10%, PMT=90, N=5, FV=1,041.52) Answer: Step 1: figure out what should be the fair value of the bond after 5 years (PVs) Step 2: figure out what should be the fair value of the bond now (PVo)
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