The contents herein are not directly discussed in any of the three main textbooks presented in the syllabus
In this sense, this lecture will extensively use the following material:
\(\rightarrow\) Both contents are available on eClass®.
Let’s get back to the example that we’ve worked on in the Financial Analysis lecture:
We saw that we can calculate a series of performance indicators that decompose Net Income:
Gross Profit Margin looks at the firm’s income after paying out directly-attributable costs;
Operating Margin shows the firm’s income after deducting all operating costs (+SG&A, Depreciation, etc);
NOPAT deducts taxes from operational performance and insulates the analysis from the effects of debt policy;
Net Income takes everything into consideration and provides a measure of the income generated that is attributable to the shareholders of the firm.
More importantly, we’re lacking a key component:
Consider two firms that generate $ 500MM in Net Income and have the same level of Assets. These firms are comparable across all dimensions, except that these firms are from totally distinct industries:
Should shareholders be indifferent between investing in these two firms? No! as investors will demand a different compensation for each firm!
The problem is that Net Income (or any derived metric) does not take this into consideration…
Therefore, a firm can generate profits to the shareholders and, at the same time, destroy value if the compensation is not enough to offset the risk!
Definition
EVA® measures the wealth a company creates (or destroys) each year. It is a company’s after-tax profit from operations minus a charge for the cost of all capital employed to produce those profits – not just the cost of debt, but the cost of equity as well
(+) Sales Revenues
(-) Operating Costs (Direct and Indirect)
(=) Operating Profit
(-) Taxes on Operating Profit
(=) Net Operating Profit After Taxes
(-) Estimated Weighted Average Cost of Capital \(\times\) Capital Invested by Debt and Equity
(=) EVA®
EVA® is not observable, but rather estimated:
Notwithstanding, it expected that:
The higher the EVA® \(\rightarrow\) higher expectations about the firms’ prospects \(\rightarrow\) higher expected value \(\rightarrow\) higher stock price
However, expectations about the firms’ future results constantly change. Because of that, it is difficult to observe a direct relationship between EVA® and firm value
In the long-run, empirical studies show that, as expected, this relationship is positive
\[ \text{EVA}= \text{NOPAT} -\text{Operating Capital}\times \text{WACC} \]
Pizza Hut Ltd. has existing assets worth $500,000, of which it has operating capital invested of $150,000. The firm’s last reported Net Income was $15,000, and the Earnings Before Interest and Taxes (EBIT) was $50,000. Assuming a 40% tax-rate and a 15% cost of capital, calculate and interpret the firm’s Economic Value Added for the period.
\[ \small EVA= NOPAT- (WACC\times \text{Operating Capital})\rightarrow 50,000\times(1-40\%)-0.15\times 150,000 \]
\[ EVA=30,000-22,500=7,500 \]
The first way is to address what is the amount of Operating Assets that a firm needs to have in place in order to run its operations
\[ \small \text{Operating Capital}=\text{Long-Term Operating Capital + Net Working Capital Needs} \]
(+) PPE: $60,000
(+) Other Operating Assets: $6,000
(=) Total: $66,000
(+) Cash: $12,000
(+) Inventories: $12,000
(+) Account Receivable: $24,000
(-) Accounts Payable: $15,000
(=) Total :$33,000
\[ \small \text{Operating Capital}=\text{Interest-bearing Liabilities + Equity} \]
(+) Short-Term Loans: $19,000
(+) Long-Term Loans: $48,000
(-) Short-Term Investments: $8,000
(+) Shareholder’s Equity: $40,000
(=) Total: $99,000
Method 1: Operating Profit \(\times\) (1- Tax Rate)
Method 2: Add back Interest Expenses (net of tax)
Suppose that you calculated a Weighted Average Cost of Capital of 9.5%
Then, we can calculate EVA® as:
\[ \text{EVA} = \text{NOPAT}-\text{WACC}\times \text{Operating Capital} \]
Therefore, we have:
\[ \text{EVA} = 7,920-0.095\times99,000=7,920-9,405=-1,485 \]
\[ ROIC=\dfrac{\text{NOPAT}}{\text{Operating Capital}}=\dfrac{7,920}{99,000}=8\% \]
\[ \small EVA= (ROIC-WACC)\times \text{Operating Capital}\rightarrow(8\%-9.5\%)\times 99,000= -1,485 \]
\[ \small ROIC=\dfrac{NOPAT}{Sales}\times\dfrac{Sales}{\text{Operating Capital}}\rightarrow 6\%\times 1.22= 8\% \]
\[ EVA=(\text{ROIC}-\text{WACC})\times \text{Operating Capital} \]
Margins
Turnover
\[ \small MVA= \text{Market Value of Equity} - \text{Book Value of Equity} \] 2. Now, in equilibirum, we should expected if the Market Value of Equity to be the Book Value of Equity plus all the expected EVAs:
\[ \small MVA^\star \approx \underbrace{\text{B.V of Equity}+\dfrac{\sum_{t=1}^{\infty}\text{EVA}_{t}}{(1+r)^t}}_{\text{Market Value of Equity}}-\text{B.V Equity}\rightarrow MVA^\star \approx\dfrac{\sum_{t=1}^{\infty}\text{EVA}_{t}}{(1+r)^t} \]
Case 1: \(\dfrac{\sum_{t=1}^{\infty}\text{EVA}_{t}}{(1+r)^t}\)>0
Case 2: \(\dfrac{\sum_{t=1}^{\infty}\text{EVA}_{t}}{(1+r)^t}\)<0