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:

Current Yield=Annual Coupon PaymentBond Price×100\text{Current Yield} = \frac{\text{Annual Coupon Payment}}{\text{Bond Price}} \times 100

Since the bond pays interest semiannually, the annual coupon payment is twice the semiannual payment:

Annual Coupon Payment=2×29.25=58.50\text{Annual Coupon Payment} = 2 \times 29.25 = 58.50

Now, plug the values into the formula:

Current Yield=58.50961.87×100\text{Current Yield} = \frac{58.50}{961.87} \times 100

Calculating this:

Current Yield6.08%\text{Current Yield} \approx 6.08\%

Answer:

6.08%

Would you like more details or have any questions?


Here are some related questions:

  1. How does the current yield compare to the yield to maturity of a bond?
  2. What factors affect the current yield of a bond?
  3. How does a bond's price affect its current yield?
  4. How would the current yield change if the bond price increased?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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