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Transcript of Copy of Ch 08 Revised
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CAPITAL BUDGETING DECISIONSCHAPTER 8
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LEARNING OBJECTIVES
Understand the nature and importance of investment decisions
Explain the methods of calculating net present value (NPV)
and internal rate of return (IRR)
Show the implications of net present value (NPV) andinternal rate of return (IRR)
Describe the non-DCF evaluation criteria: payback and
accounting rate of return
Illustrate the computation of the discounted payback Compare and contrast NPV and IRR and emphasize the
superiority of NPV rule
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Nature of Investment Decisions
The investment decisions of a firm are generally known as thecapital budgeting, or capital expenditure decisions.
The firms investment decisions would generally include
expansion, acquisition, modernisation and replacement of thelong-term assets. Sale of a division or business (divestment) is alsoas an investment decision.
Decisions like the change in the methods of sales distribution, oran advertisement campaign or a research and development
programme have long-term implications for the firmsexpenditures and benefits, and therefore, they should also beevaluated as investment decisions.
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Features of Investment Decisions
The exchange of current funds for future benefits.
The funds are invested in long-term assets.
The future benefits will occur to the firm over a
series of years.
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Importance of Investment Decisions
Growth
Risk
Funding
Irreversibility
Complexity
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Types of Investment Decisions
One classification is as follows:
Expansion of existing business
Expansion of new business
Replacement and modernisation
Yet another useful way to classify investments is asfollows:
Mutually exclusive investments
Independent investments
Contingent investments
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Investment Evaluation Criteria
Three steps are involved in the evaluation of an
investment:
1. Estimation of cash flows
2. Estimation of the required rate of return (the
opportunity cost of capital)
3. Application of a decision rule for making the choice
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Investment Decision Rule
It should maximise the shareholders wealth.
It should consider all cash flows to determine the true profitability ofthe project.
It should provide for an objective and unambiguous way of separating
good projects from bad projects. It should help ranking of projects according to their true profitability.
It should recognise the fact that bigger cash flows are preferable tosmaller ones and early cash flows are preferable to later ones.
It should help to choose among mutually exclusive projects that projectwhich maximises the shareholders wealth.
It should be a criterion which is applicable to any conceivableinvestment project independent of others.
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Evaluation Criteria
1.Discounted Cash Flow (DCF) Criteria
Net Present Value (NPV)
Internal Rate of Return (IRR)
Profitability Index (PI)
2. Non-discounted Cash Flow Criteria
Payback Period (PB)
Discounted payback period (DPB) Accounting Rate of Return (ARR)
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Net Present Value Method
Cash flows of the investment project should be forecasted
based on realistic assumptions.
Appropriate discount rate should be identified to discount the
forecasted cash flows. Present value of cash flows should be calculated using the
opportunity cost of capital as the discount rate.
Net present value should be found out by subtracting present
value of cash outflows from present value of cash inflows. The
project should be accepted if NPV is positive (i.e., NPV > 0).
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Net Present Value Method
The formula for the net present value can be written
as follows:
!
!
!
n
1t
0t
t
0n
n
3
3
2
21
C
)k1(
CNPV
C)k1(
C
)k1(
C
)k1(
C
)k1(
CNPV .
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Calculating Net Present Value
Assume that ProjectXcosts Rs 2,500 now and is expected to
generate year-end cash inflows of Rs 900, Rs 800, Rs 700, Rs
600 and Rs 500 in years 1 through 5. The opportunity cost of
the capital may be assumed to be 10 per cent.
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Why is NPV Important?
Positive net present value of an investment represents the maximum
amount a firm would be ready to pay for purchasing the opportunity
of making investment, or the amount at which the firm would be
willing to sell the right to invest without being financially worse-
off.
The net present value can also be interpreted to represent the
amount the firm could raise at the required rate of return, in addition
to the initial cash outlay, to distribute immediately to itsshareholders and by the end of the projects life, to have paid off all
the capital raised and return on it.
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Acceptance Rule
Accept the project when NPV is positive
NPV > 0
Reject the project when NPV is negative
NPV < 0
May accept the project when NPV is zero
NPV = 0
The NPV method can be used to select between mutually
exclusive projects; the one with the higher NPV should be
selected.
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Evaluation of the NPV Method
NPV is most acceptable investment rule for thefollowing reasons: Time value
Measure of true profitability Value-additivity
Shareholder value
Limitations:
Involved cash flow estimation Discount rate difficult to determine
Mutually exclusive projects
Ranking of projects
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INTERNAL RATE OF RETURN METHOD
The internal rate of return (IRR) is the rate that
equates the investment outlay with the present
value of cash inflow received after one period. This
also implies that the rate of return is the discountrate which makes NPV = 0.
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CALCULATION OF IRR
Uneven Cash Flows: Calculating IRR by Trial andError
The approach is to select any discount rate to computethe present value of cash inflows. If the calculated
present value of the expected cash inflow is lower thanthe present value of cash outflows, a lower rate should
be tried. On the other hand, a higher value should betried if the present value of inflows is higher than the
present value of outflows. This process will be repeatedunless the net present value becomes zero.
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CALCULATION OF IRR
Level Cash Flows Let us assume that an investment would cost Rs 20,000
and provide annual cash inflow of Rs 5,430 for 6 years
The IRR of the investment can be found out as follows
Rs 20,000 + Rs 5,430( ) 0
Rs 20,000 Rs 5,430( )
Rs 20,000
Rs 5,430
6,
6,
6,
!
!
! !
r
r
r 3683.
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NPV Profile and IRR
NPV Profile
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Acceptance Rule
Accept the project when r > k
Reject the project when r < k
May accept the project when r = k
In case of independent projects, IRR and NPV ruleswill give the same results if the firm has no shortageof funds.
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Evaluation of IRR Method
IRR method has following merits:
Time value
Profitability measure
Acceptance rule Shareholder value
IRR method may suffer from
4Multiple rates
4Mutually exclusive projects
4Value additivity
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PROFITABILITY INDEX
Profitability index is the ratio of the present value of
cash inflows, at the required rate of return, to the
initial cash outflow of the investment.
The formula for calculating benefit-cost ratio or
profitability index is as follows:
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PROFITABILITY INDEX
The initial cash outlay of a project is Rs 100,000 and it cangenerate cash inflow of Rs 40,000, Rs 30,000, Rs 50,000and Rs 20,000 in year 1 through 4. Assume a 10 percentrate of discount. The PV of cash inflows at 10 percentdiscount rate is:
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Acceptance Rule
The following are the PI acceptance rules:
Accept the project when PI is greater than one. PI > 1
Reject the project when PI is less than one. PI < 1
May accept the project when PI is equal to one. PI = 1 The project with positive NPV will have PI greater
than one. PI less than means that the projects NPVis negative.
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Evaluation of PI Method
Time value:It recognises the time value of money.
Value maximization: It is consistent with the shareholdervalue maximisation principle. A project with PI greater than
one will have positive NPV and if accepted, it will increaseshareholderswealth.
Relative profitability:In the PI method, since the present valueof cash inflows is divided by the initial cash outflow, it is a
relative measure of a projects profitability.
Like NPV method, PI criterion also requires calculation ofcash flows and estimate of the discount rate. In practice,estimation of cash flows and discount rate pose problems.
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PAYBACK
Paybackis the number of years required to recover the
original cash outlay invested in a project.
If the project generates constant annual cash inflows, the
payback period can be computed by dividing cash outlay by
the annual cash inflow. That is:
C
C
InflowCashAnnual
InvestmentInitial=Payback 0!
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Example
Assume that a project requires an outlay of Rs
50,000 and yields annual cash inflow of Rs
12,500 for 7 years. The payback period for the
project is:
years412,000Rs
50,000RsPB !!
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PAYBACK
Unequal cash flows In case of unequal cash inflows, the
payback period can be found out by adding up the cash inflows
until the total is equal to the initial cash outlay.
Suppose that a project requires a cash outlay of Rs 20,000, andgenerates cash inflows of Rs 8,000; Rs 7,000; Rs 4,000; and
Rs 3,000 during the next 4 years. What is the projects
payback?
3 years 12 (1,000/3,000) months
3 years 4 months
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Acceptance Rule
The project would be accepted if its payback periodis less than the maximum or standard payback
period set by management.
As a ranking method, it gives highest ranking to theproject, which has the shortest payback period andlowest ranking to the project with highest payback
period.
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Evaluation of Payback
Certain virtues: Simplicity
Cost effective
Short-term effects
Risk shield
Liquidity
Serious limitations:4 Cash flows after payback
4 Cash flows ignored4 Cash flow patterns
4 Administrative difficulties
4 Inconsistent with shareholder value
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Payback Reciprocal and the Rate of Return
The reciprocal of payback will be a close
approximation of the internal rate of return if the
following two conditions are satisfied:
1. The life of the project is large or at least twice the
payback period.
2. The project generates equal annual cash inflows.
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DISCOUNTED PAYBACK PERIOD
The discounted payback period is the number of periods
taken in recovering the investment outlay on the present
value basis.
The discounted payback period still fails to consider thecash flows occurring after the payback period.
Discounted Payback Illustrated
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ACCOUNTING RATE OF RETURN METHOD
The accounting rate of return is the ratio of the average after-
tax profit divided by the average investment. The average
investment would be equal to half of the original investment if
it were depreciated constantly.
A variation of the ARR method is to divide average earnings
after taxes by the original cost of the project instead of the
average cost.
or
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Example
A project will cost Rs 40,000. Its stream of
earnings before depreciation, interest and taxes
(EBDIT) during first year through five years is
expected to be Rs 10,000, Rs 12,000, Rs 14,000, Rs16,000 and Rs 20,000. Assume a 50 per cent tax
rate and depreciation on straight-line basis.
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Calculation of Accounting Rate of Return
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Acceptance Rule
This method will accept all those projects whoseARR is higher than the minimum rate established
by the management and reject those projects which
have ARR less than the minimum rate.
This method would rank a project as number one ifit has highest ARR and lowest rank would be
assigned to the project with lowest ARR.
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Evaluation of ARR Method
The ARR method may claim some merits
Simplicity
Accounting data
Accounting profitability
Serious shortcomings
4Cash flows ignored
4Time value ignored4Arbitrary cut-off
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Conventional & Non-Conventional Cash Flows
A conventional investment has cash flows the pattern of aninitial cash outlay followed by cash inflows. Conventional
projects have only one change in the sign of cash flows; forexample, the initial outflow followed by inflows, i.e., + + +.
A non-conventional investment, on the other hand, has cashoutflows mingled with cash inflows throughout the life of the
project. Non-conventional investments have more than onechange in the signs of cash flows; for example, + + + ++ +.
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NPV vs. IRR
Conventional Independent Projects:
In case of conventional investments, which are
economically independent of each other, NPV and IRR
methods result in same accept-or-reject decision if thefirm is not constrained for funds in accepting all
profitable projects.
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NPV vs. IRR
Lending and borrowing-type projects:
Project with initial outflow followed by inflows is a
lending type project, and project with initial inflow
followed by outflows is a lending type project, Both areconventional projects.
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Problem of Multiple IRRs
A project may have bothlending and borrowingfeatures together. IRR
method,
when used toevaluate such non-conventional investment canyield multiple internal ratesof return because of morethan one change of signs incash flows.
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Case of Ranking Mutually Exclusive Projects
Investment projects are said to be mutually exclusive whenonly one investment could be accepted and others wouldhave to be excluded.
Two independent projects may also be mutually exclusive ifa financial constraint is imposed.
The NPV and IRR rules give conflicting ranking to theprojects under the following conditions:
The cash flow pattern of the projects may differ. That is, the cashflows of one project may increase over time, while those of othersmay decrease orvice-versa.
The cash outlays of the projects may differ.
The projects may have different expected lives.
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Timing of cash flows
The most commonly found condition for the conflict between the
NPV and IRR methods is the difference in the timing of cash
flows. Let us consider the following two Projects, M and N.
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Cont
NPV Profiles of Projects M and N NPV versus IRR
The NPV profiles of two projects intersect at 10 per cent discount
rate. This is called Fishers intersection.
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Incremental approach
It is argued that the IRR method can still be used to choose
between mutually exclusive projects if we adapt it to calculate
rate of return on the incremental cash flows.
The incremental approach is a satisfactory way of salvaging
the IRR rule. But the series of incremental cash flows may
result in negative and positive cash flows. This would result in
multiple rates of return and ultimately the NPV method will
have to be used.
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Scaleofinvestment
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Projectlifespan
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REINVESTMENT ASSUMPTION
The IRR method is assumed to imply that the cash
flows generated by the project can be reinvested at
its internal rate of return, whereas the NPV methodis thought to assume that the cash flows are
reinvested at the opportunity cost of capital.
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MODIFIED INTERNAL RATE OF RETURN (MIRR)
The modified internal rate of return (MIRR) is
the compound average annual rate that is calculated
with a reinvestment rate different than the projectsIRR.
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VARYING OPPORTUNITY COST OF CAPITAL
There is no problem in using NPV method when
the opportunity cost of capital varies over time.
If the opportunity cost of capital varies over time,
the use of the IRR rule creates problems, as there isnot a unique benchmark opportunity cost of capital
to compare with IRR.
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NPV VERSUS PI
A conflict may arise between the two methods if a
choice between mutually exclusive projects has to
be made. NPV method should be followed.