Answer :
To determine Swiss Group's return on assets (ROA) and evaluate its performance relative to its competitors, we can follow these steps:
### Step 1: Determine the Average Assets
To find the average assets for the year, we need to calculate the mean of the initial and final asset values:
- Initial assets at the beginning of the year: \[tex]$171,000 - Final assets at the end of the year: \$[/tex]221,000
[tex]\[ \text{Average assets} = \frac{\text{Initial assets} + \text{Final assets}}{2} \][/tex]
[tex]\[ \text{Average assets} = \frac{171,000 + 221,000}{2} = 196,000 \][/tex]
### Step 2: Calculate the Net Income
The net income reported for the year is \$28,000.
### Step 3: Determine the Return on Assets (ROA)
ROA is calculated by dividing net income by the average assets and then multiplying by 100 to get a percentage:
[tex]\[ \text{ROA} = \left( \frac{\text{Net Income}}{\text{Average Assets}} \right) \times 100 \][/tex]
[tex]\[ \text{ROA} = \left( \frac{28,000}{196,000} \right) \times 100 \approx 14.29\% \][/tex]
### Step 4: Compare with Competitors
Competitors' average return on assets is given as 9%.
### Step 5: Evaluate Performance
To evaluate Swiss Group's performance relative to its competitors, compare the calculated ROA to the competitors' ROA:
- Swiss Group's ROA: 14.29%
- Competitors' average ROA: 9%
Since 14.29% is greater than 9%, Swiss Group performed better than its competitors.
### Summary
Swiss Group's return on assets (ROA) for the current year is approximately 14.29%. Since this ROA is higher than the competitors' average of 9%, Swiss Group performed better than its competitors.
### Step 1: Determine the Average Assets
To find the average assets for the year, we need to calculate the mean of the initial and final asset values:
- Initial assets at the beginning of the year: \[tex]$171,000 - Final assets at the end of the year: \$[/tex]221,000
[tex]\[ \text{Average assets} = \frac{\text{Initial assets} + \text{Final assets}}{2} \][/tex]
[tex]\[ \text{Average assets} = \frac{171,000 + 221,000}{2} = 196,000 \][/tex]
### Step 2: Calculate the Net Income
The net income reported for the year is \$28,000.
### Step 3: Determine the Return on Assets (ROA)
ROA is calculated by dividing net income by the average assets and then multiplying by 100 to get a percentage:
[tex]\[ \text{ROA} = \left( \frac{\text{Net Income}}{\text{Average Assets}} \right) \times 100 \][/tex]
[tex]\[ \text{ROA} = \left( \frac{28,000}{196,000} \right) \times 100 \approx 14.29\% \][/tex]
### Step 4: Compare with Competitors
Competitors' average return on assets is given as 9%.
### Step 5: Evaluate Performance
To evaluate Swiss Group's performance relative to its competitors, compare the calculated ROA to the competitors' ROA:
- Swiss Group's ROA: 14.29%
- Competitors' average ROA: 9%
Since 14.29% is greater than 9%, Swiss Group performed better than its competitors.
### Summary
Swiss Group's return on assets (ROA) for the current year is approximately 14.29%. Since this ROA is higher than the competitors' average of 9%, Swiss Group performed better than its competitors.