Math Problem Statement
Solution
To solve the problem, we need to calculate the total return earned by the bond. The total return is based on the simple interest formula:
Known Values:
- Face Value (Principal) = $14,000
- Annual Interest Rate (Rate) = 8.18% = 0.0818
- Time to Maturity (Time) = 6 months = years
Step-by-Step Solution:
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Apply the formula:
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Perform the calculation:
Final Answer:
The total return earned by this bond is $573.00.
Would you like a detailed breakdown of any part of this calculation?
Relative Questions:
- How is simple interest different from compound interest in bond calculations?
- What would be the return if the term to maturity was one year instead of six months?
- How does changing the annual interest rate affect the total return?
- How can this calculation be applied to bonds with monthly compounding?
- What are the risks involved in investing in bonds with such interest rates?
Tip:
Always ensure the time is expressed in years when calculating interest with annual rates.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Percentage
Time Conversion
Formulas
Interest = Principal × Rate × Time
Theorems
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Suitable Grade Level
Grades 9-11
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