investment evaluation abridged
TRANSCRIPT
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Investment Evaluation 1
INVESTMENT EVALUATION
Professor Tim Thompson
Kellogg School of Management
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Investment Evaluation 2
The Finance Function
FinancialMarkets
(Investors)
Operations(Plant,
Equipment,Projects,
etc.)
FinancialManager
(1a) RaiseFunds
(1b) Obligations(Stocks, Debt, IOUs)
(2) Investment
(3) Cash fromOperations
(5) Dividends orInterest Payments
The finance function manages the cash flow
(4) Reinvest
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The Finance Function
FinancialMarkets
Operations FinancialManager
InvestmentDecision
FinancingDecision
How much toinvest and inwhat assets?
Where is the $going to come
from?Capital Budgeting
Finance focuses on these two decisions
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Interaction between Financing &
Investment Decisions
FinancialMarkets
Operations FinancialManager
InvestmentDecision
FinancingDecision
The interplay of the decisions determines the cost of capital
Cost of Capital
Characteristicsof the
Investment
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The Finance Function
The objective of the financial managerand the corporation is to MAXIMIZE
THE CURRENT VALUE OFSHAREHOLDERS' WEALTH.
(Taken literally, this means that a firm should pursue policies thatmaximize its today's quotation in the Wall Street Journal.)
By making investing and financing decisions, the financialmanager is attempting to achieve the following objective:
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Investment Evaluation in 3 Basic Steps
1) Forecast all relevant after tax expected cash flows generatedby the project2) Estimate the opportunity cost of capital--r(reflects the timevalue of money and the risk)3) Evaluation
DCF (discounted cash flows)NPV (net present value)
Accept project if NPV is positiveReject project if NPV is negative
IRR (internal rate of returnAccept project if IRR > r
Payback, Profitability IndexROA, ROFE, ROI, ROCEROEEVA
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Forecasting Cash Flows
First, forecast all relevant after-tax expected cash flows
Actual
B. Operating Income 1998 1999 2000 2001 2002 2003 2004
1 Sales 1,356.1 1,535.0 1,660.0 1,759.6 1,865.2 1,958.4 2,056.4
2 Operating Costs (1,143.2) (1,304.8) (1,402.7) (1,478.1) (1,566.7) (1,645.1) (1,727.3)
3 Depreciation (67.5) (77.0) (83.0) (80.0) (75.0) (70.0) (65.0)
4 EBIT 145.4 153.3 174.3 201.5 223.4 243.3 264.0
5 Taxes (50.6) (61.3) (69.7) (80.6) (89.4) (97.3) (105.6)
6 EBIAT 94.8 92.0 104.6 120.9 134.1 146.0 158.4
Actual
C. Cash Flows from Operations 1998 1999 2000 2001 2002 2003 2004
7 EBIAT 94.8 92.0 104.6 120.9 134.1 146.0 158.4
8 Depreciation 67.5 77.0 83.0 80.0 75.0 70.0 65.0
9 Changes in WC (87.7) (30.3) (75.0) (19.9) (21.1) (18.7) (19.6)
10 Capital Investment (59.7) (46.2) (48.4) (50.0) (50.0) (50.0) (50.0)
11 Free Cash Flows 14.9 92.4 64.2 131.0 137.9 147.4 153.8
ProForma
ProForma
Sample Corporation VALUATION
Key is that cash flows must be (a) relevant, costs and income directlyaffected by the project, and (b) after-tax, cash into the owners pocket
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Forecasting Cash Flows
This is done by estimating operational parameters
Actual
A. Operating Parameters 1998 1999 2000 2001 2002 2003 2004 2005 Terminal
S Sales Growth (%) 49.6% 13% 8% 6% 6% 5% 5% 5%
P Operating Profit Margin (%) 15.7% 15.0% 15.5% 16.0% 16.0% 16.0% 16.0% 16.0%
T Tax Rate (%) 39.9% 40.0% 40.0% 40.0% 40.0% 40.0% 40.0% 40.0%
D Depreciation ($) 67.5 77.0 83.0 80.0 75.0 70.0 65.0 65.0
C Capital Expenditure ($) 59.7 46.2 48.4 50.0 50.0 50.0 50.0 50.0
W Working Capital as % of Sales (%) 19.5% 16.9% 60.0% 20.0% 20.0% 20.0% 20.0% 20.0%
Excess Cash -
Market Value of Debt 217.3
# of Outstanding Shares 22.9
Perpetual Growth Rate 5.0%
Sample Corporation VALUATION
ProForma
These are based onactual reportedperformance
This represents a bestguess about thecompanys futureperformance
Obviously, there is an uncertainty problem but history is used as a guide forwhat to expect in the future
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Investment Evaluation
Evaluating investments involves the following:
1) Forecast all relevant after tax expected cash flows generatedby the project2) Estimate the opportunity cost of capital--r(reflects the timevalue of money and the risk)3) Evaluation
DCF (discounted cash flows)NPV (net present value)
Accept project if NPV is positiveReject project if NPV is negative
IRR (internal rate of returnAccept project if IRR > rPayback , Profitability IndexROA, ROFE, ROI, ROCEROEEVA
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1) Depreciation is not a cash flow, but it affects taxation
2) Do not ignore investment in fixed assets (Capital Expenditures)
3) Do not ignore investment in net working capital Include only changes in operating working capital. Short-term debt,
excess cash and marketable securities should not be accounted for.
4) Separate investment and financing decisions: Evaluate as if entirelyequity financed
5) Estimate flows on a incremental basis Forget sunk costs: cost incurred in the past and irreversible Include all externalities - the effects of the project on the rest of the firm -
e.g., cannibalization or erosion, enhancement
6) Opportunity costs cannot be ignored
Forecasting Cash Flows: The Ten Commandments
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7) Do not forget continuing value (residual or terminal value)Liquidation value: Estimate the proceeds from the sale of assets after theexplicit forecast period. (Recover investment in working capital, tax-shield orfixed assets but missing the intangibles and value of on-going business)Perpetual growth: Assume cash flows are expected to grow at a constant rateperpetually.
8) Be consistent in your treatment of inflationNominal cash flows (including inflation) -- use a nominal cost of capital RReal cash flows (without inflation) -- use a real cost of capital r
9) Overhead costs
10) Include excess cash, excess real estate, unfunded (over-funded)pension fund, large stock option obligations, and other relevant offbalance sheet items.
Forecasting Cash Flows: The Ten Commandments
g)-(rcValueContinuing 1t
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Forecasting Cash Flows
Cash Flows from Operations
Revenue- Cost of Goods Sold- Depreciation (may be in CGS)
- Selling, General & Admin.
= Operating Profit- Cash Taxes on Operating Profit
= Net Operating Profit After Tax+ Depreciation- Capital Expenditures- Increase in Working Capital
= Cash Flow from Operations
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Forecasting Cash Flows
1) Depreciation is not a cash flow, but it affects taxation
Revenue- Cost of Goods Sold- Depreciation
- Selling, General & Admin.
= Operating Profit- Cash Taxes on Operating Profit
= Net Operating Profit After Tax+ Depreciation- Capital Expenditures- Increase in Working Capital
= Cash Flow from Operations
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Forecasting Cash Flows
2) Do not ignore investment in fixed assets.
Revenue- Cost of Goods Sold- Depreciation
- Selling, General & Admin.
= Operating Profit- Cash Taxes on Operating Profit
= Net Operating Profit After Tax+ Depreciation- Capital Expenditures- Increase in Working Capital
= Cash Flow from Operations
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Forecasting Cash Flows
3) Do not ignore investment in net working capital.
Revenue- Cost of Goods Sold- Depreciation
- Selling, General & Admin.
= Operating Profit- Cash Taxes on Operating Profit
= Net Operating Profit After Tax+ Depreciation- Capital Expenditures- Increase in Working Capital
= Cash Flow from Operations
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Forecasting Cash Flows
There is an important distinction betweenthe accounting definition of working
capital and the economic/financedefinition relevant to cash flows forecast.
The distinction is a direct result of the 4thcommandment above: We need the operatingworking capital, not the operating andfinancial working capital.
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Current assets include operating assets (above dotted line). However,
excess cash and marketable securities not required for operations (below
dotted line) are not operating working capital and accounted separately for
value (see 10th commandment).
Current liabilities include both operating liabilities (above the dotted line)
and non-operating short-term debt (below the dotted line).
Accounting Definition of Working
Capital
Accounts receivableInventory
Cash (required for operations)
Excess Cash & marketable securities
Accounts payableAccrued taxes
Accrued wages
short-term debt
Working Capital= Current Assets - Current Liabilities
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Forecasting Cash Flows
4) Separate investment and financing decisions
Revenue- Cost of Goods Sold- Depreciation
- Selling, General & Admin.
= Operating Profit- Cash Taxes on Operating Profit
= Net Operating Profit After Tax+ Depreciation- Capital Expenditures- Increase in Working Capital
= Cash Flow from Operations
Evaluate as ifentirely equity
financed
Ignorefinancing/
no interest lineitem
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Forecasting Cash Flows
5) Estimate flows on an incremental basis
Incremental = total firm cash flow - total firm cash flowCash Flow WITHthe project WITHOUTthe project
Forget Sunk Costs
costs incurred in the past and irreversible
Include all effects of the project on the rest of the firm(e.g., cannibalization, erosion, enhancement, etc.)
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Forecasting Cash Flows
6) Opportunity costs cannot be ignored
What other
uses couldresources beput to?
The cost of any resource is the foregone opportunity ofemploying this resources in the next best alternative use.
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Forecasting Cash Flows
7) Do not forget continuing value (residual or terminal)
Two approaches are available:
Liquidation value: Estimate the proceeds from the sale ofassets after the explicit forecast period. (Include the recoveryof investment in working capital, tax-shield on theundepreciated fixed assets and any revenue from assets sale).
This approach results in under-valuation since it misses thevalue of on-going business. It ignores the value ofintangibles.
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Forecasting Cash Flows
Perpetual growth: Assumes that after time n cashflows are expected to grow at a constant rateperpetually.
Year 1
CF1
Year 2
CF2
Year n
CFn
. . .
Terminal Value
Year n+1 & on
CFn+1
/(r-g)
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8) Be consistent in the treatment of inflation
Discount nominal cash flows with nominal cost of capital
Discount real cash flows with real cost of capital
Nominal Rate
Real Rate + Inflation
Common Mistake: Nominal (inflation adjusted) discountrate used to discount real cash flowsBias towards short-term investment
7%
4%
3%Nominal
Inflation
Real{
Forecasting Cash Flows
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1 2 3
Nominal 2.00 2.08 2.16Real 2.00 2.00 2.00
Inflation @ 4%
Nominal vs. Real Cash Flows
Note: Depreciation is based on historical costs and therefore is notadjusted for inflation
Forecasting Cash Flows
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Forecasting Cash Flows
9) Overhead costs
Revenue- Cost of Goods Sold- Depreciation
- Selling, General & Admin.
= Operating Profit- Cash Taxes on Operating Profit
= Net Operating Profit After Tax+ Depreciation- Capital Expenditures- Increase in Working Capital
= Cash Flow from Operations
Do not forgetoverheads andother indirect
costs thatincrease dueto the project
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Forecasting Cash Flows
10) Include excess cash, excess real estate, unfunded (over-funded) pension funds, large stock option obligations
Year 1CF1
Year 2CF2
Year 3CF3
Year 4CF4
Year 5CF5
TerminalCFn+1/(r-g)
. . .
PV(Operating Cash Flows)+ Excess cash balance
+ Excess marketable securities+ Excess real estate- Under-funded pension
=Value of the FIRM
Assets/Liabilitiesnot required tosupport operations
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Value of the Firm
-Value ofDebt
=Value ofEquity
To calculate share price-divide by thenumber of shares outstanding
Value of Equity
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Investment Evaluation
Evaluating investments involves the following:
1) Forecast all relevant after tax expected cash flows generated bythe project2) Estimate the opportunity cost of capital--r(reflects the time
value of money and the risk)3) Evaluation
DCF (discounted cash flows)NPV (net present value)
Accept project if NPV is positiveReject project if NPV is negative
IRR (internal rate of returnAccept project if IRR > r
Payback , Profitability IndexROA, ROFE, ROI, ROCEROEEVA
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Evaluation Methods: NPV
Net Present Value (NPV) is the sum of all cash flows adjustedby the discount rate
Example:Time Period 0 1 2
Activity Buy Hot Dog Cart Sell Hot Dogs Sell Hot Dogs
Cash Flows -187 110 121
Discount Rate 10%
13100100187
)10.01(121
)10.01(110187
2
NPV
NPV
Future cash flows are discounted penalized for time and risk
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Evaluation Methods: NPV
Net Present Value (NPV) is the sum of all cash flows adjustedby the discount rate
Example:Time Period 0 1 2
Activity Buy Hot Dog Cart Sell Hot Dogs Sell Hot Dogs
Cash Flows -200 110 121
Discount Rate 10%
0100100200
)10.01(121
)10.01(110200
2
NPV
NPV
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Evaluation Methods: IRR
As the discount rate increases, the PV of future cash flows islower and the NPV is reduced
Example: Hot Dog Cart Valuation
-30
-20
-10
0
10
20
30
40
50
0% 2% 4% 6% 8% 10%
12%
14%
16%
18%
20%
22%
24%
Discount Rate (%)
NPV(
$)
Internal rate of return (IRR) is the discount rate that sets the
NPV to zero
IRR: Discount rate atwhich the project has aNPV of zero
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Calculation of IRR
The IRR is the r that solves
Decision Rule: Accept the project if
IRR > Opportunity Cost of Capital
n
n
r
C
r
C
r
CC
)1(....)1(10 221
0
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Evaluation Methods:
NPV vs. IRR
NPV is a measure of absolute performance, whereas IRRmeasures relative performance:
1) Independent Projects
Accept if NPV > 0
Accept if IRR > Opportunity Cost of Capital
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Evaluation Methods:
NPV vs. IRR
2) Mutually Exclusive Projects (Ranking)
Problems with IRR:
A) Scale
B) Timing of Cash Flows: Bias against long-term
investments
Time Period: 0 1 IRR
Project A -1 5 400%
Project B -100 120 20%
Highest (NPVa, NPVb, NPVc)Highest (IRRa, IRRb, IRRc)
Obviously, the return in absolutedollars must be considered
Preference for CF early!But, it depends.
Time Period: 0 1 2
Project A -100 20 120
Project B -100 100 31.25
Time Period: 0 1 2 IRR NPV@0% NPV@10% NPV@20%
Project A -100 20 120 20% 40 17.3 0.0
Project B -100 100 31.25 25% 31.25 16.7 5.0
E l i M h d
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The ranking of the projects depends on the discount rateTime Period: 0 1 2 IRR NPV@0% NPV@10%
Project A -100 20 120 20% 40 17.3
Project B -100 100 31.25 25% 31.25 16.7
A is a LT project and when discount rate PV
B is a ST project and when discount rate PVdrops less
Evaluation Methods:
NPV vs. IRR
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Other Evaluation Methods
Payback: How long does it take for the project to payback?
Time Period: 0 1 2 3 4 5
Project A -100 20 30 50 Pass
Project B -10 2 2 2 105B Fail
Corporate Rule: Project must payback in at most 3 years!
Problems:No discounting the first3 years
Infinite discounting oflater years Biases against long-term projects.ROA (return on assets)
ROI (return on investment)ROFE (return on funds employed)
ROCE (return on capital employed)
ROE =
} EarningsInvestment=Problems:Investment not valued at marketEarnings vs. cash flowsNet Income
Shareholders Equity
Book Value
Profitability Index: PV/I. Problem: Biases against large-scale projects.