5. 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?

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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.
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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