Math Problem Statement

calculate the 2024 SGR

calculate the 2024 SGR

Solution

To calculate the Sustainable Growth Rate (SGR) for 2024, the formula is:

SGR=ROE×Retention RatioSGR = \text{ROE} \times \text{Retention Ratio}

Where:

  • ROE (Return on Equity) is calculated as: ROE=Net IncomeTotal Equity\text{ROE} = \frac{\text{Net Income}}{\text{Total Equity}}
  • Retention Ratio is: Retention Ratio=1DividendsNet Income\text{Retention Ratio} = 1 - \frac{\text{Dividends}}{\text{Net Income}}

From the uploaded data:

  1. Net Income (FY23) = $1,198,396
  2. Total Equity (FY23) = $5,548,916
  3. Dividends (FY23) = $500,000

Step 1: Calculate ROE

ROE=1,198,3965,548,916=0.2160(or 21.60%)ROE = \frac{1,198,396}{5,548,916} = 0.2160 \, \text{(or 21.60\%)}

Step 2: Calculate Retention Ratio

RetentionRatio=1500,0001,198,396=10.4173=0.5827(or 58.27%)Retention Ratio = 1 - \frac{500,000}{1,198,396} = 1 - 0.4173 = 0.5827 \, \text{(or 58.27\%)}

Step 3: Calculate SGR

SGR=0.2160×0.5827=0.1258(or 12.58%)SGR = 0.2160 \times 0.5827 = 0.1258 \, \text{(or 12.58\%)}

Final SGR for 2024:

The Sustainable Growth Rate (SGR) for 2024 is 12.58%.

Would you like further clarifications, or should I assist with related calculations or forecasts?

Related Questions:

  1. What is the importance of SGR for financial planning?
  2. How does dividend policy impact the sustainable growth rate?
  3. Can SGR change if equity structure shifts in 2024?
  4. How would changes in profitability (ROE) affect future SGR?
  5. What strategies can increase a company’s SGR?

Tip: To maintain a higher SGR, a company can reinvest more earnings by reducing dividends or enhancing profitability through cost optimization or revenue growth strategies

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Math Problem Analysis

Mathematical Concepts

Financial Analysis
Sustainable Growth Rate (SGR)
Return on Equity (ROE)
Retention Ratio

Formulas

SGR = ROE × Retention Ratio
ROE = Net Income / Total Equity
Retention Ratio = 1 - (Dividends / Net Income)

Theorems

Basic principles of financial growth modeling

Suitable Grade Level

College or Graduate level (Finance/Accounting)