Math Problem Statement
A bond that pays interest semiannually has a price of $961.87 and a semiannual coupon payment of $29.25. If the par value is $1,000, what is the current yield?
Multiple Choice
6.08%
5.85%
5.78%
3.04%
2.93%
Solution
The current yield of a bond is calculated using the formula:
Since the bond pays interest semiannually, the annual coupon payment is twice the semiannual payment:
Now, plug the values into the formula:
Calculating this:
Answer:
6.08%
Would you like more details or have any questions?
Here are some related questions:
- How does the current yield compare to the yield to maturity of a bond?
- What factors affect the current yield of a bond?
- How does a bond's price affect its current yield?
- How would the current yield change if the bond price increased?
- Why might an investor choose a bond with a higher current yield?
Tip: Remember, the current yield only considers the annual coupon payment and bond price—not any capital gains or losses.
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Math Problem Analysis
Mathematical Concepts
Finance
Bond Yield
Interest Rates
Formulas
Current Yield = (Annual Coupon Payment / Bond Price) x 100
Theorems
-
Suitable Grade Level
Grades 11-12
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