Please answer all 4 yield to maturity with explanations

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Please answer all 4 yield to maturity with explanations thx
### Yield to Maturity

**P6-5 (similar to)**

#### Yield to maturity

What is the yield of each of the following bonds if interest (coupon) is paid annually?

**a.** What is the yield of the following bond if interest (coupon) is paid annually? (Round to two decimal places.)

| Par Value  | Coupon Rate | Years to Maturity | Yield to Maturity | Price     |
|------------|-------------|-------------------|-------------------|-----------|
| $1,000.00  | 10%         | 30                | %                 | $1,300.00 |

There is an additional data table shown with more examples:

**Data Table**

*(Click on the following icon in order to copy its contents into a spreadsheet.)*

| Par Value  | Coupon Rate | Years to Maturity | Yield to Maturity | Price     |
|------------|-------------|-------------------|-------------------|-----------|
| $1,000.00  | 10%         | 30                | ?                 | $1,300.00 |
| $1,000.00  | 12%         | 30                | ?                 | $1,000.00 |
| $5,000.00  | 8%          | 15                | ?                 | $4,590.00 |
| $1,000.00  | 11%         | 25                | ?                 | $1,000.00 |

### Explanation

The task is to determine the yield to maturity for given bonds using the information on their par value, coupon rate, years to maturity, and current price. A spreadsheet tool may facilitate these calculations for more detailed analysis.

For each bond:
- **Par Value**: The face value or nominal value of the bond.
- **Coupon Rate**: The annual interest rate expressed as a percentage of the par value.
- **Years to Maturity**: The number of years until the bond matures.
- **Price**: The current market price of the bond.
- **Yield to Maturity (YTM)**: The expected rate of return if the bond is held until its maturity, taking into account the current price and the coupon payments over time. 

By calculating the YTM, investors can evaluate the attractiveness of different bonds.
Transcribed Image Text:### Yield to Maturity **P6-5 (similar to)** #### Yield to maturity What is the yield of each of the following bonds if interest (coupon) is paid annually? **a.** What is the yield of the following bond if interest (coupon) is paid annually? (Round to two decimal places.) | Par Value | Coupon Rate | Years to Maturity | Yield to Maturity | Price | |------------|-------------|-------------------|-------------------|-----------| | $1,000.00 | 10% | 30 | % | $1,300.00 | There is an additional data table shown with more examples: **Data Table** *(Click on the following icon in order to copy its contents into a spreadsheet.)* | Par Value | Coupon Rate | Years to Maturity | Yield to Maturity | Price | |------------|-------------|-------------------|-------------------|-----------| | $1,000.00 | 10% | 30 | ? | $1,300.00 | | $1,000.00 | 12% | 30 | ? | $1,000.00 | | $5,000.00 | 8% | 15 | ? | $4,590.00 | | $1,000.00 | 11% | 25 | ? | $1,000.00 | ### Explanation The task is to determine the yield to maturity for given bonds using the information on their par value, coupon rate, years to maturity, and current price. A spreadsheet tool may facilitate these calculations for more detailed analysis. For each bond: - **Par Value**: The face value or nominal value of the bond. - **Coupon Rate**: The annual interest rate expressed as a percentage of the par value. - **Years to Maturity**: The number of years until the bond matures. - **Price**: The current market price of the bond. - **Yield to Maturity (YTM)**: The expected rate of return if the bond is held until its maturity, taking into account the current price and the coupon payments over time. By calculating the YTM, investors can evaluate the attractiveness of different bonds.
**P6-5 (similar to)**

**Yield to maturity.** What is the yield of each of the following bonds, if interest (coupon) is paid annually?

**a.** What is the yield of the following bond if interest (coupon) is paid annually? (Round to two decimal places.)

**Data Table:**

| Par Value | Coupon Rate | Years to Maturity | Yield to Maturity | Price   |
|-----------|-------------|-------------------|-------------------|---------|
| $1,000.00 | 10%         | 30                | ?                 | $1,300.00 |
| $1,000.00 | 12%         | 30                | ?                 | $1,000.00 |
| $5,000.00 | 8%          | 15                | ?                 | $4,590.00 |
| $1,000.00 | 11%         | 25                | ?                 | $1,000.00 |

*(Click on the following icon to copy its contents into a spreadsheet.)*
Transcribed Image Text:**P6-5 (similar to)** **Yield to maturity.** What is the yield of each of the following bonds, if interest (coupon) is paid annually? **a.** What is the yield of the following bond if interest (coupon) is paid annually? (Round to two decimal places.) **Data Table:** | Par Value | Coupon Rate | Years to Maturity | Yield to Maturity | Price | |-----------|-------------|-------------------|-------------------|---------| | $1,000.00 | 10% | 30 | ? | $1,300.00 | | $1,000.00 | 12% | 30 | ? | $1,000.00 | | $5,000.00 | 8% | 15 | ? | $4,590.00 | | $1,000.00 | 11% | 25 | ? | $1,000.00 | *(Click on the following icon to copy its contents into a spreadsheet.)*
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