Question
Supply the missing data
Sales: 7mil
NOI: 280K
Average operating assets: 2mil
ROI 14%
percentage: [blank]
Dollar amount: 320k
Residual income: [blank]
Sales: 7mil
NOI: 280K
Average operating assets: 2mil
ROI 14%
percentage: [blank]
Dollar amount: 320k
Residual income: [blank]
Answers
GPT-4o mini
To fill in the missing data, we can use the given information about sales, net operating income (NOI), average operating assets, return on investment (ROI), and residual income.
1. **ROI Calculation:**
ROI (Return on Investment) is calculated using the formula:
\[
ROI = \frac{NOI}{Average \ Operating \ Assets}
\]
Given:
- NOI = 280K
- Average Operating Assets = 2mil
Calculating ROI:
\[
ROI = \frac{280,000}{2,000,000} = 0.14 \text{ or } 14\%
\]
This confirms the provided ROI is correct.
2. **Percentage Calculation: (NOI as a percentage of Sales)**
We can calculate the percentage of NOI in relation to sales using the formula:
\[
\text{Percentage} = \frac{NOI}{Sales} \times 100
\]
Substituting the values:
\[
\text{Percentage} = \frac{280,000}{7,000,000} \times 100 \approx 4\%
\]
3. **Residual Income Calculation:**
Residual Income is calculated using the formula:
\[
\text{Residual Income} = NOI - (Required \ Rate \ of \ Return \times Average \ Operating \ Assets)
\]
Here, we need to calculate the required rate of return first.
The required rate of return can be calculated using the ROI formula as follows:
\[
Required \ Rate \ of \ Return = ROI = 14\%
\]
Substituting the values into the residual income formula:
\[
\text{Residual Income} = 280,000 - (0.14 \times 2,000,000)
\]
Calculating the required return:
\[
Required \ Return = 0.14 \times 2,000,000 = 280,000
\]
Thus, we find:
\[
\text{Residual Income} = 280,000 - 280,000 = 0
\]
Now, gathering all results, we have:
- Percentage: **4%**
- Residual Income: **0**
In summary, the filled-in values are:
- Percentage: **4%**
- Residual Income: **0**
1. **ROI Calculation:**
ROI (Return on Investment) is calculated using the formula:
\[
ROI = \frac{NOI}{Average \ Operating \ Assets}
\]
Given:
- NOI = 280K
- Average Operating Assets = 2mil
Calculating ROI:
\[
ROI = \frac{280,000}{2,000,000} = 0.14 \text{ or } 14\%
\]
This confirms the provided ROI is correct.
2. **Percentage Calculation: (NOI as a percentage of Sales)**
We can calculate the percentage of NOI in relation to sales using the formula:
\[
\text{Percentage} = \frac{NOI}{Sales} \times 100
\]
Substituting the values:
\[
\text{Percentage} = \frac{280,000}{7,000,000} \times 100 \approx 4\%
\]
3. **Residual Income Calculation:**
Residual Income is calculated using the formula:
\[
\text{Residual Income} = NOI - (Required \ Rate \ of \ Return \times Average \ Operating \ Assets)
\]
Here, we need to calculate the required rate of return first.
The required rate of return can be calculated using the ROI formula as follows:
\[
Required \ Rate \ of \ Return = ROI = 14\%
\]
Substituting the values into the residual income formula:
\[
\text{Residual Income} = 280,000 - (0.14 \times 2,000,000)
\]
Calculating the required return:
\[
Required \ Return = 0.14 \times 2,000,000 = 280,000
\]
Thus, we find:
\[
\text{Residual Income} = 280,000 - 280,000 = 0
\]
Now, gathering all results, we have:
- Percentage: **4%**
- Residual Income: **0**
In summary, the filled-in values are:
- Percentage: **4%**
- Residual Income: **0**