Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN: 9781337395083
Author: Eugene F. Brigham, Phillip R. Daves
Publisher: Cengage Learning
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Chapter 4, Problem 14P
Current Yield with Semiannual Payments
A bond that matures in 7 years sells for $1,020. The bond has a face value of $1,000 and a yield to maturity of 10.5883%. The bond pays coupons semiannually. What is the bond’s current yield?
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A bond that matures in 7 years sells for $1,020. The bond has a face value of $1,000 and a yield to maturity of 10.5883 Percent. The bond pays coupons semiannually. What is the bond's current yield?
Thebond shown in the following table pays interest annually.
Par value
Coupon interest rate
Years to maturity
Current value
$1,000
8%
9
$700
a. Calculate the yield to maturity (YTM) for the bond.
b. What relationship exists between the coupon interest rate and yield to maturity and the par value and market value of a bond? Explain.
Question 1. Duration and Banking
Consider a 5-year bond with annual coupon payments. The bond has a face value (prin-
cipal) of $100 and sells for $95. Its coupon rate is 3%. (The coupon rate is the ratio
between the coupon value and the face value). The face value is paid at the maturity
year in addition to the last coupon payment.
1. Calculate the bond's yield to maturity (YTM) and duration using its YTM.
2. Suppose the bond's YTM changes in the same way as a 5-year T-bill interest rate.
Use the bond's modified duration to evaluate the relative change in the 5-year bond's
value if the interest rate on 5-year T-bills falls by one basis point, that is, by 0.0001.
This part was extracted from the balance sheet of the First Bank of Australia:
Assets (Billion AUD)
Bond 80
Liabilities (Billion AUD)
Fixed-rate liabilities 60
where "Bond" here refers to the bond we specified above and the fixed-rate liabilities
(banks future payment obligations) have an average duration of 4 years and YTM of…
Chapter 4 Solutions
Intermediate Financial Management (MindTap Course List)
Ch. 4 - Short-term interest rates are more volatile than...Ch. 4 - The rate of return on a bond held to its maturity...Ch. 4 - If you buy a callable bond and interest rates...Ch. 4 - A sinking fund can be set up in one of two ways....Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Current Yield for Annual Payments Heath Food...Ch. 4 - Determinant of Interest Rates
The real risk-free...Ch. 4 - Default Risk Premium A Treasury bond that matures...Ch. 4 - Prob. 6P
Ch. 4 - Bond Valuation with Semiannual Payments
Renfro...Ch. 4 - Prob. 8PCh. 4 - Bond Valuation and Interest Rate Risk The Garraty...Ch. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Bond Yields and Rates of Return A 10-year, 12%...Ch. 4 - Yield to Maturity and Current Yield You just...Ch. 4 - Current Yield with Semiannual Payments
A bond that...Ch. 4 - Prob. 15PCh. 4 - Interest Rate Sensitivity
A bond trader purchased...Ch. 4 - Bond Value as Maturity Approaches An investor has...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Bond Valuation and Changes in Maturity and...Ch. 4 - Yield to Maturity and Yield to Call
Arnot...Ch. 4 - Prob. 23PCh. 4 - Prob. 1MCCh. 4 - Prob. 2MCCh. 4 - How does one determine the value of any asset...Ch. 4 - Prob. 4MCCh. 4 - What would be the value of the bond described in...Ch. 4 - Suppose a 10-year, 10% semiannual coupon bond with...Ch. 4 - Prob. 9MCCh. 4 - Prob. 10MCCh. 4 - Prob. 11MCCh. 4 - Prob. 12MCCh. 4 - Prob. 14MCCh. 4 - Prob. 15MCCh. 4 - Prob. 16MCCh. 4 - Prob. 17MC
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may be called in 4 years at a call price of 1,060. The bond sells for 1,100. (Assume that the bond has just been issued.) a. What is the bonds yield to maturity? b. What is the bonds current yield? c. What is the bonds capital gain or loss yield? d. What is the bonds yield to call?arrow_forwardBond Value as Maturity Approaches An investor has two bonds in his portfolio. Each bond matures in 4 years, has a face value of 1,000, and has a yield to maturity equal to 9.6%. One bond, Bond C, pays an annual coupon of 10%; the other bond, Bond Z, is a zero coupon bond. Assuming that the yield to maturity of each bond remains at 9.6% over the next 4 years, what will be the price of each of the bonds at the following time periods? Fill in the following table:arrow_forwardBond Valuation with Semiannual Payments Renfro Rentals has issued bonds that have a 10% coupon rate, payable semiannually. The bonds mature in 8 years, have a face value of $1,000, and a yield to maturity of 8.5%. What is the price of the bonds?arrow_forward
- Yield to Maturity and Yield to Call Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?arrow_forwardCurrent Yield for Annual Payments Heath Food Corporations bonds have 7 years remaining to maturity. The bonds have a face value of 1,000 and a yield to maturity of 8%. They pay interest annually and have a 9% coupon rate. What is their current yield?arrow_forwardYield to Maturity and Current Yield You just purchased a bond that matures in 5 years. The bond has a face value of 1,000 and an 8% annual coupon. The bond has a current yield of 8.21%. What is the bonds yield to maturity?arrow_forward
- What is the value of the following semi-annual bond? years face value: maturity: coupon rate: discount rate: $1,000 9.5 7% 7%arrow_forwardGiven: Bond Face or Par Value: $1,000 Current Market Price: $995.34 Time to Maturity: 11 years Coupon: $30 per year, paid semiannually Bond is callable in five years at $1,030 a. What is the bond's coupon rate? b. What is the bond's current yield? c. What is the bond's yield to maturity? (Use financial calculator to solve, list all keystrokes)arrow_forward
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