Managerial Accounting: Decentralization - Economic Value Added, EVA, Adjustments to Accounting Income

? What this actually is

Economic Value Added (EVA) is a measure of a company's financial performance based on the residual wealth calculated by deducting its cost of capital from its operating profit, adjusted for taxes on a cash basis. It matters because it provides a clearer picture of a company's true profitability by considering the cost of capital, which traditional accounting measures often overlook. The core idea is:

[ \text{EVA} = \text{NOPAT} - (\text{WACC} \times \text{Capital}) ]

where: - NOPAT = Net Operating Profit After Taxes - WACC = Weighted Average Cost of Capital - Capital = Total Capital Invested

? The core logic (or formula)

1. NOPAT Calculation:
2. NOPAT = Operating Income - Taxes
3. Operating Income = Revenue - Operating Expenses

4. Taxes = Operating Income × Effective Tax Rate

5. WACC Calculation:

6. WACC = (E/V × Re) + (D/V × Rd × (1 - Tc))
7. E = Market Value of Equity
8. D = Market Value of Debt
9. V = E + D
10. Re = Cost of Equity
11. Rd = Cost of Debt

12. Tc = Corporate Tax Rate

13. Capital Calculation:

14. Capital = Total Assets - Non-Interest Bearing Current Liabilities

15. EVA Formula:

16. EVA = NOPAT - (WACC × Capital)

? Hidden rule nobody explains

In practice, adjustments to accounting income are crucial for an accurate EVA calculation. One common adjustment is to add back depreciation and amortization to operating income because these are non-cash expenses. This ensures that EVA reflects the true cash-generating ability of the company.

? Practical example / breakdown

Let's calculate the EVA for a company with the following data: - Revenue: $1,000,000 - Operating Expenses: $700,000 - Depreciation: $50,000 - Effective Tax Rate: 25% - Market Value of Equity: $500,000 - Market Value of Debt: $300,000 - Cost of Equity: 10% - Cost of Debt: 6% - Corporate Tax Rate: 25% - Total Assets: $800,000 - Non-Interest Bearing Current Liabilities: $100,000

1. Calculate Operating Income:

2. Operating Income = $1,000,000 - $700,000 = $300,000

3. Adjust for Depreciation:

4. Adjusted Operating Income = $300,000 + $50,000 = $350,000

5. Calculate Taxes:

6. Taxes = $350,000 × 25% = $87,500

7. Calculate NOPAT:

8. NOPAT = $350,000 - $87,500 = $262,500

9. Calculate WACC:

10. E = $500,000
11. D = $300,000
12. V = $500,000 + $300,000 = $800,000
13. WACC = (500,000/800,000 × 10%) + (300,000/800,000 × 6% × (1 - 0.25))
14. WACC = (0.625 × 10%) + (0.375 × 6% × 0.75)
15. WACC = 6.25% + 1.6875%

16. WACC = 7.9375%

17. Calculate Capital:

18. Capital = $800,000 - $100,000 = $700,000

19. Calculate EVA:

20. EVA = $262,500 - (7.9375% × $700,000)
21. EVA = $262,500 - $55,562.50
22. EVA = $206,937.50

? Your move today

Goal: Calculate the EVA for a hypothetical company.

Step-by-step:
1. Open a spreadsheet or a piece of paper.
2. List the given data: Revenue, Operating Expenses, Depreciation, Effective Tax Rate, Market Value of Equity, Market Value of Debt, Cost of Equity, Cost of Debt, Corporate Tax Rate, Total Assets, Non-Interest Bearing Current Liabilities.
3. Follow the steps in the practical example to calculate NOPAT, WACC, Capital, and EVA.
4. Verify your calculations by comparing them to the example provided.

What to save: A completed EVA calculation with all intermediate steps clearly shown.

? Quick reference asset

Common mistakes & recovery

• Common Error 1: Forgetting to adjust operating income for depreciation and amortization.
• Recovery: Always add back depreciation and amortization to operating income.
• Common Error 2: Using book value instead of market value for equity and debt in WACC calculation.
• Recovery: Ensure you use market values for equity and debt.
• Quick Check: Verify that your NOPAT and WACC calculations are consistent with the given data.
• Exam Tip: Practice with realistic numbers to get comfortable with the calculations under time pressure.

? Completion check

"I can calculate the Economic Value Added (EVA) for a company by adjusting accounting income for depreciation, calculating NOPAT, WACC, and capital, and then applying the EVA formula."