imported>Doug Williamson |
imported>Doug Williamson |
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| (EVA). | | (PI). |
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| The periodic addition to shareholder value resulting from the efficient management and allocation of resources. | | The profitability index may be represented by the following formula: |
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| | Profitability index = PV/Co |
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| The important insight from EVA analysis is that a whole firm, a project or a division will be <u>destructive</u> of [[shareholder value]] in the following circumstances:
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| (1) Whenever its returns are inferior to the relevant economic [[cost of capital]].
| | PV = the present value of all the cashflows except the initial investment. |
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| (2) Even if it appears to be profitable when measured on an accounting basis (for example on an [[Earnings per share]] basis).
| | Co = the absolute value of the initial investment. |
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| EVA can be considered at the whole-firm level or in relation to smaller business units or projects.
| | Calculated on this basis, projects with a PI > 1 are acceptable. |
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| __TOC__
| | ==Alternative definition== |
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| | The profitability index may also be represented by the following alternative formula: |
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| == EVA at the whole-firm level == | | Profitability index = NPV/Co |
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| | Where: |
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| The periodic addition to total shareholder value from the efficient management and allocation of the whole firm's resources.
| | NPV = net present value of all positive and negative cashflows, including the initial investment outflow Co |
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| EVA can be quantified at a whole-firm level as:
| | When defined on this alternative basis, the minimum threshold of acceptability becomes a profitability index of 0. |
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| EVA = [Return on book capital LESS Market cost of capital] x Book capital.
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| <span style="color:#4B0082">'''Example 1: EVA calculation'''</span>
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| Taking a simplified example, take an all-equity financed firm with:
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| (1) A market capitalisation (P<sub>0</sub>) of $130m.
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| (2) Book value of equity $100m.
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| (3) Annual after tax returns of $13m.
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| ''To keep this illustration simple, we will assume no growth.''
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| ''In other words the whole of the annual after tax returns of $13m are paid out as dividends (D<sub>1</sub>).''
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| Return on book capital = 13 / 100
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| = 13%.
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| Market cost of capital = 13 / 130
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| = 10%
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| (Using Ke = D<sub>1</sub>/P<sub>0</sub>).
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| EVA = [13% - 10% = 3%] x $100m
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| = '''$3m'''.
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| ''In practice a number of adjustments would be made both to the market values and to the book values used in the calculation of the EVA.''
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| ''So the application of EVA analysis is both more complicated, and arguably more subjective, than the simple calculation illustrated above.''
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| <span style="color:#4B0082">'''Example 2: MVA calculation'''</span>
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| Turning back for now to our simple example, EVA is also closely related to Market value added (MVA).
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| MVA is the total present value of the expected EVA in the current and future periods.
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| For example in this case the EVA is a simple fixed perpetuity of $3m.
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| The total present value of the fixed perpetuity of $3m is evaluated using:
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| (1) The simple fixed perpetuity formula 1/r.
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| (2) The market cost of capital 10%.
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| MVA = $3m / 0.10
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| = '''$30m'''.
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| == EVA at the individual project level ==
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| It is also possible to calculate and analyse EVA at the individual project level.
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| In simple terms, EVA is positive when the project Internal rate of return exceeds the (appropriately risk-adjusted) [[Weighted average cost of capital]].
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| A simple decision rule when using EVA at the project level is:
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| (1) Reject all negative EVA projects.
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| (2) Positive EVA projects will be considered further.
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| == See also == | | == See also == |
| * [[Book value]] | | * [[Capital rationing]] |
| * [[Cost of capital]]
| | * [[Present value]] |
| * [[Earnings per share]]
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| * [[Economic value]]
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| * [[Excess Return]]
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| * [[Gearing]]
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| * [[Internal rate of return]]
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| * [[Market value added]]
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| * [[Net present value]]
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| * [[Return on capital]]
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| * [[Return on capital employed]]
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| * [[Shareholder value]] | |
| * [[Wealth Added Index]]
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| [[Category:Corporate_finance]]
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(PI).
The profitability index may be represented by the following formula:
Profitability index = PV/Co
Where:
PV = the present value of all the cashflows except the initial investment.
Co = the absolute value of the initial investment.
Calculated on this basis, projects with a PI > 1 are acceptable.
Alternative definition
The profitability index may also be represented by the following alternative formula:
Profitability index = NPV/Co
Where:
NPV = net present value of all positive and negative cashflows, including the initial investment outflow Co
When defined on this alternative basis, the minimum threshold of acceptability becomes a profitability index of 0.
See also