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Answer: 7.8%
## Explanation The swap rate can be calculated using the formula: \[ \text{Swap Rate} = \frac{1 - DF_n}{\sum_{i=1}^n DF_i} \] Where: - \( DF_1 = 0.9709 \) - \( DF_2 = 0.8653 \) - \( DF_3 = 0.7938 \) **Step 1: Calculate the numerator** \[ 1 - DF_3 = 1 - 0.7938 = 0.2062 \] **Step 2: Calculate the denominator** \[ \sum_{i=1}^3 DF_i = 0.9709 + 0.8653 + 0.7938 = 2.6300 \] **Step 3: Calculate the swap rate** \[ \text{Swap Rate} = \frac{0.2062}{2.6300} = 0.0784 \text{ or } 7.84\% \] This is closest to **7.8%**. **Answer: A**
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| Maturity (Years) | Discount Factor |
|---|---|
| 1 | 0.9709 |
| 2 | 0.8653 |
| 3 | 0.7938 |
Based on this information, the 3-year swap rate is closest to:
A
7.8%
B
8.0%
C
9.0%
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