Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![### Calculating Bond Interest Rate
**Question:**
How much is the interest rate on a bond that has a face value of $1,000, a selling price of $800, and that pays $80 interest?
**Explanation:**
To determine the interest rate, or yield, of a bond, we need to understand the relationship between its annual interest payment and its selling price.
**Interest Rate Formula:**
The interest rate can be calculated using the following formula:
\[ \text{Interest Rate} = \left( \frac{\text{Annual Interest Payment}}{\text{Current Price of the Bond}} \right) \times 100\% \]
**Given:**
- Face Value of the Bond: $1,000
- Selling Price of the Bond: $800
- Annual Interest Payment: $80
**Calculation:**
Plug these values into the formula to find the interest rate:
\[ \text{Interest Rate} = \left( \frac{80}{800} \right) \times 100\% = 10\% \]
Therefore, the interest rate on this bond is **10%**. This indicates that the bondholder will earn a return of 10% on their investment at the current selling price of $800.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78664e34-f555-4df8-8abc-44c0302d65c7%2F4d9b18e9-bd49-4e31-becd-8c745e02ae85%2F0knx89_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculating Bond Interest Rate
**Question:**
How much is the interest rate on a bond that has a face value of $1,000, a selling price of $800, and that pays $80 interest?
**Explanation:**
To determine the interest rate, or yield, of a bond, we need to understand the relationship between its annual interest payment and its selling price.
**Interest Rate Formula:**
The interest rate can be calculated using the following formula:
\[ \text{Interest Rate} = \left( \frac{\text{Annual Interest Payment}}{\text{Current Price of the Bond}} \right) \times 100\% \]
**Given:**
- Face Value of the Bond: $1,000
- Selling Price of the Bond: $800
- Annual Interest Payment: $80
**Calculation:**
Plug these values into the formula to find the interest rate:
\[ \text{Interest Rate} = \left( \frac{80}{800} \right) \times 100\% = 10\% \]
Therefore, the interest rate on this bond is **10%**. This indicates that the bondholder will earn a return of 10% on their investment at the current selling price of $800.
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