Math Problem Statement

Jorge bought one bond of Easter Company for 110. The original bond was 6 1/2 18 . Jorge wants to know the current yield to the nearest tenth percent.

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Solution

To calculate the current yield of a bond, we use the formula:

Current Yield=(Annual Coupon PaymentCurrent Price of the Bond)×100%\text{Current Yield} = \left( \frac{\text{Annual Coupon Payment}}{\text{Current Price of the Bond}} \right) \times 100\%

Given:

  • The original bond coupon rate is 612%6 \frac{1}{2}\% or 6.5%6.5\%.
  • The face value of the bond is usually 100100 (assuming it's a standard bond).
  • The current price Jorge paid for the bond is 110110.

Steps to Calculate:

  1. Calculate the Annual Coupon Payment: Annual Coupon Payment=(6.5100)×100=6.5 dollars\text{Annual Coupon Payment} = \left( \frac{6.5}{100} \right) \times 100 = 6.5 \text{ dollars}

  2. Determine the Current Yield: Current Yield=(6.5110)×100%5.91%\text{Current Yield} = \left( \frac{6.5}{110} \right) \times 100\% \approx 5.91\%

Answer:

The current yield of the bond is approximately 5.9%.

Do you want details or have any questions about this calculation?


Related Questions:

  1. What is the difference between current yield and yield to maturity?
  2. How does the bond's price affect its current yield?
  3. What factors might cause the price of a bond to increase?
  4. How do you calculate the yield to maturity of a bond?
  5. What is the impact of interest rates on bond prices?
  6. What does a current yield indicate about a bond's performance?
  7. How do coupon payments affect the overall yield of a bond?
  8. What are the risks associated with investing in bonds?

Tip: Always consider both current yield and yield to maturity when evaluating bond investments to understand potential returns better.

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Math Problem Analysis

Mathematical Concepts

Finance
Bond Valuation
Interest Rates

Formulas

Current Yield Formula

Theorems

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Suitable Grade Level

Advanced High School / College