3. What is the semi-annual coupon rate on the following government bonds? 3 YTM Semi-ann Face valu Maturity Price 4.00% 3.57% 100 10 95 YTM Semi-ann Face value Maturity Price 4.30% 4.53% 100 15 105 YTM 5% Semi-ann 5.00% Face valu 100 Maturity 25 Price 100 YTM Semi-ann Face value Maturity Price 6% 5.96% 100 30 97

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**Title: Calculating Semi-Annual Coupon Rates for Government Bonds**

**Introduction:**
This table helps illustrate the semi-annual coupon rates of various government bonds. It provides a comparison of semi-annual coupon rates alongside other crucial bond metrics such as Yield to Maturity (YTM), face value, maturity, and price.

**Bond Data:**

1. **Bond 1:**
   - **YTM:** 4.00%
   - **Semi-Annual Coupon Rate:** 3.57%
   - **Face Value:** 100
   - **Maturity:** 10 years
   - **Price:** 95

2. **Bond 2:**
   - **YTM:** 4.30%
   - **Semi-Annual Coupon Rate:** 4.53%
   - **Face Value:** 100
   - **Maturity:** 15 years
   - **Price:** 105

3. **Bond 3:**
   - **YTM:** 5%
   - **Semi-Annual Coupon Rate:** 5.00%
   - **Face Value:** 100
   - **Maturity:** 25 years
   - **Price:** 100

4. **Bond 4:**
   - **YTM:** 6%
   - **Semi-Annual Coupon Rate:** 5.96%
   - **Face Value:** 100
   - **Maturity:** 30 years
   - **Price:** 97

**Explanation:**
The data above includes a series of bonds with varying yields to maturity and durations. The semi-annual coupon rate is highlighted, showing the interest paid every six months. Longer maturities generally allow for assessing interest rate trends and their effects on bond pricing.

**Conclusion:**
Understanding these aspects is crucial for making informed investment decisions regarding government bonds. The semi-annual coupon rate, along with the YTM, provides insight into the bond's potential returns compared to its market price and duration.
Transcribed Image Text:**Title: Calculating Semi-Annual Coupon Rates for Government Bonds** **Introduction:** This table helps illustrate the semi-annual coupon rates of various government bonds. It provides a comparison of semi-annual coupon rates alongside other crucial bond metrics such as Yield to Maturity (YTM), face value, maturity, and price. **Bond Data:** 1. **Bond 1:** - **YTM:** 4.00% - **Semi-Annual Coupon Rate:** 3.57% - **Face Value:** 100 - **Maturity:** 10 years - **Price:** 95 2. **Bond 2:** - **YTM:** 4.30% - **Semi-Annual Coupon Rate:** 4.53% - **Face Value:** 100 - **Maturity:** 15 years - **Price:** 105 3. **Bond 3:** - **YTM:** 5% - **Semi-Annual Coupon Rate:** 5.00% - **Face Value:** 100 - **Maturity:** 25 years - **Price:** 100 4. **Bond 4:** - **YTM:** 6% - **Semi-Annual Coupon Rate:** 5.96% - **Face Value:** 100 - **Maturity:** 30 years - **Price:** 97 **Explanation:** The data above includes a series of bonds with varying yields to maturity and durations. The semi-annual coupon rate is highlighted, showing the interest paid every six months. Longer maturities generally allow for assessing interest rate trends and their effects on bond pricing. **Conclusion:** Understanding these aspects is crucial for making informed investment decisions regarding government bonds. The semi-annual coupon rate, along with the YTM, provides insight into the bond's potential returns compared to its market price and duration.
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