· Assume Mr. Davis can buy either a $10,000 corporate bond yielding 10% or a municipal bond yielding 7%. Assume risk is constant. Assume also that his Federal tax rate will be 28% and his State tax rate 7% and that the municipal bond is exempt from both types of income taxes. Which should he buy, if the yield and tax consequences are the only variables?
· A bond has the following terms:
Principal amount |
$1,000 |
Semi-annual interest |
$50 |
Maturity |
10 years |
(When asked for a % yield, round yields to nearest tenth of a percent, such as 10.1 %.)
- What is the bond’s price if comparable debt yields 12%?
- What would be the price if comparable debt yields 12% and the bond matures after 5 years?
- What are the current yields and yields to maturity if a. and b.?
- What would be the bond’s price in a. if interest rates declined to 8%? What if the bond matures after 5 years?
- What are the current yields and yields to maturity in d.?
- What two generalizations may be drawn from the above price changes?
· You purchase a high-yield, junk bond for $1,000 that pays $140 annually. After buying the bond, yields decline and you are able to reinvest the interest at only 9 percent. You reinvest all the interest payments. How much will you have when the bond is retired after 12 years? What was the annual return you earned on this investment?
· Determine the current market prices of the following $1,000 bonds if the comparable rate is 10% and answer the questions.
- XY 5 ¼ percent, with interest paid annually for 20 years.AB 14 percent, with interest paid annually for 20 years.
- Which bond has a current yield that exceeds the yield to maturity?
- Which bond may you expect to be called? Why?
- If CD, Inc. has a bond with a 5 ¼ percent coupon and a maturity of 20 years but which was lower rated, what would be its price relative to the XY, Inc. bond? Explain
Problem 1
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Problem 2
Part a. | |||||||||||||
Rate | 6% | ||||||||||||
Nper | 2 | 0 | |||||||||||
pmt | $50 | ||||||||||||
fv | $1,000 | ||||||||||||
type | |||||||||||||
PV | |||||||||||||
Part b. | |||||||||||||
10 | |||||||||||||
Part c. | |||||||||||||
Current yield for a. | |||||||||||||
Current yield for b. | |||||||||||||
Yield to maturity | |||||||||||||
Pmt | |||||||||||||
FV | |||||||||||||
Type | |||||||||||||
Semi- | Annual Return | ||||||||||||
Semi-Annual Return Rate | |||||||||||||
Part d. | |||||||||||||
4% | |||||||||||||
20 | |||||||||||||
Part e. | |||||||||||||
Current yield for d. at 10 years | |||||||||||||
Current yield for d. at 5 years | |||||||||||||
Part f. |
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Use the Rate function to calculate this.
Problem 3
Add the initial principal ($1,000) to your FV |
Solve for total return on your $1,000 cash out flow |
Problem 4
Current Yield | Yield to Maturity | ||
XY bond | AB bond | ||
PMT | |||
Current Yield XY | |||
Currient Yield AB |
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