CAPITAL BUDGETING | CAP CLASSES
Good
Evening. Today we are going to discuss the most important topic “Capital
Budgeting”. If you are a student of accountancy and finance, it is impossible
to you to complete your course without swimming through capital budgeting.
Whatever course you are in, whatever curriculum you study, if you assign
ranking to topics in financial management, Capital Budgeting will occupy place
1, without any doubt.
As
all of you are aware of, the financial management is the process of three
decisions.
- Financing Decisions (Capital structure decisions)
- Investment Decisions (Capital budgeting decisions)
- Dividend Decisions (Dividend policies)
Capital
Budgeting decisions are also known as long term investment decisions. Capital
Budgeting involves the Process of:
- Decision making with regard to investment in Fixed Assets (Capital Projects) & Long-Term Projects; or
- Evaluation of Expenditures Decisions, which involve current outlays/outflows but are likely to produce benefits over a longer period of time; or
- Forecast of likely or Expected Returns from a new investment project and to determine whether returns are adequate.
- However, Capital Budgeting excludes certain investment decisions, wherein, the benefits of investment proposals cannot be directly quantified.
TECHNIQUES
OF CAPITAL BUDGETING
- Techniques of Capital Budgeting refer to the criteria used to evaluate the project.
- Some of the techniques of Capital Budgeting assuming that the proposed investment project does not involve any risk are:
ACCOUNTING RATE OF RETURN
1) Accounting Rate of Return is also known as average
rate of return, annual rate of return.
2)
Accounting or Average
Rate of Return (ARR) means the average annual yield on the project. It is found
out by dividing the annual average profits after taxes by the average
investments.
3) ARR can be calculated in three
ways as given below.
a) Based on Initial Investment
b) Based on Net Investment
c) Based on Average Investment
Merits and Demerits of ARR
Techniques:
The
Merits and Demerits of ARR technique are as follows:
Merits
|
Demerits
|
It is easy to understand and
calculate
|
It ignores the time value of
money
|
It considers the entire
profits over the entire life of the projects
|
It does not use the cash
flows
|
It uses the accounting data
with which managers are familiar
|
There is no objective way to
determine the Minimum Acceptable Rate of Return
|
PAY BACK PERIOD
Meaning:
- Payback period refers to the period within which the entire cost of the project is expected to be completely recovered by way of cash inflows.
- It is the period within which the total cash inflows from the project equals the cost of investment in the project
- The lower the payback period, the better it is, since initial investment is recouped faster.
- Cash Inflow means Earnings after Tax but before Depreciation.
a) In case of Equal Annual
Cash Inflows
PBP
|
=
|
Initial Investment
|
|
Annual CFAT
|
b) In case of Unequal
Annual Cash Inflows
Payback
period is calculated by computing cumulative cash inflows till the Cumulative
Cash Inflows become equal to Initial Cash Outflow.
Pay
Back Period =
PBP
|
=
|
LP
|
+
|
Investment - CCFATLP
|
X (HP - LP)
|
|
CFATHP
|
Merits and Demerits
The
merit and demerits of Payback Period are as follows:
Merits
|
Demerits
|
It is easy to understand and
calculate
|
It ignores the time value of
money
|
It emphasizes liquidity by
stressing earlier cash inflows
|
It ignores the cash flows
occurring after the payback period
|
It uses the cash flows rather
than accounting data
|
There is no objective way to
determine the maximum acceptable payback period
|
It enables the management to
cope with the risk associated with the project by having a shorter payback
period
|
It is not a measure of
profitability since the cash flows occurring after the payback period are
ignored
|
The reciprocal of the payback
is a close approximation of the internal rate of return if the life of the
project is atleast twice the payback period and the project generates equal
annual cash inflows
|
It does not necessarily
maximize the wealth of the shareholders
|
DISCOUNTED PAYBACK PERIOD
Meaning:
Discounted
Payback Period refers to the period within which the entire cost of the project
is expected to be completely recovered by way of discounted cash inflows. Cash
inflow means earnings after tax but before depreciation. Discounted Cash inflow
means present value of cash inflows using cost of capital as discount rate.
Computation:
Discounted
payback period is calculated by computing cumulative discounted cash inflows
till the cumulative discounted cash inflows become equal to the present value
of Cash Outflows.
Step 1:
|
Calculate
Cash Inflows after Tax (CFAT)
|
Step 2:
|
Calculate
Cash Outflows
|
Step 3:
|
Calculate
Present Value of all Cash Inflows (CFAT)
|
Step 4:
|
Calculate
Present Value of all Cash Outflows
|
Step 5:
|
Calculate
Cumulative CFAT
|
Step 6:
|
Calculate
discounted Payback Period as follows:
|
Discounted
Pay Back Period =
PBP
|
=
|
LP
|
+
|
Investment - CDCFATLP
|
X (HP - LP)
|
|
DCFATHP
|
Merits and Demerits
Merits
|
Demerits
|
It
is easy to understand and calculate
|
It ignores the cash flows
occurring after the payback period
|
It
emphasizes liquidity by stressing earlier cash inflows
|
There is no objective way to
determine the maximum acceptable payback period
|
It
uses the cash flows rather than accounting data
|
It is not a measure of
profitability since the cash flows occurring after the payback period are
ignored
|
It
enables the management to cope with the risk associated with the project by
having a shorter payback period
|
It does not necessarily
maximize the wealth of the shareholders
|
The
reciprocal of the payback is a close approximation of the internal rate of
return if the life of the project is at least twice the payback period and
the project generates equal annual cash inflows
|
|
PROFITABLE INDEX / DESIRABILITY
FACTOR / PRESENT VALUE INDEX METHOD
Ø Profitability
Index/Desirability Factor technique is one of the discounted cash flow
techniques, which takes into account the Time Value of Money.
Ø Profitability
index/Desirability Factor refers to the Ratio of the Present Value of all Cash
Inflows to the Present Value of all Cash Outflows associated with the project.
Ø The present value is
ascertained using the firm’s Cost of Capital as the Discount Rate.
Computation
Step
1:
|
Calculate all the Cash Outflows associated
with the Project
|
Step
2:
|
Calculate all the Cash Inflows associated with
the Project
|
Step
3:
|
Calculate the Present Value of all cash
Outflows associated with the project.
|
Step
4:
|
Calculate the present value of all cash
inflows associated with the project.
|
Step
5:
|
Calculate Profitability Index/Desirability
Factor as follows
|
|
Merits and Demerits
Merits
|
Demerits
|
It considers the time value
of money
|
It requires the estimation of
cash inflows and cash outflows, which is a difficult task.
|
It considers entire cash
flows over entire life of the project
|
It requires the computation
of the cost of capital to be used as discount rate
|
It is a relative measure of
profitability since the ratio of cash inflows to cash outflows is considered
|
It may not provide
satisfactory results in case of –
a.
Projects involving different
amounts of cash outflows
b.
Projects having different
lives
c.
Projects involving different
amounts of cash outflows and having different lives
|
It guides in resolving
capital rationing where projects are divisible
|
The ranking of projects
depends upon the discount rate
|
It guides the selection of
Mutually Exclusive Projects having same Net Present Value
|
It ignores the difference in
initial cash outflows, size of different projects, etc., while evaluating
mutually exclusive projects
|
|
it fails to guide in resolving
capital rationing where projects are indivisible
|
It ignores the absolute
amount of NPV while taking decision. A project having lower PI but higher
absolute NPV may be rejected although it increases the shareholder’s wealth
|
|
It is not consistent with the
objective of maximizing the wealth of owners since PI may not be interpreted
as immediate increase in firm’s wealth if the project is accepted
|
NET PRESENT VALUE
Net Present Value technique is one of the discounted cash flow techniques which takes into account the time value of money.
· It
refers to difference between the present value of cash inflows and the present
value of the cash outflows.
· PV
is ascertained using the Firm’s overall Cost of Capital as the Discount
Rate.
Computation
Step 1:
|
Calculate
all the cash outflows associated with the project.
|
Step 2:
|
Calculate
all the cash Inflows associated with the project
|
Step 3:
|
Calculate
the Present Value of all cash Outflows associated with the project
|
Step 4:
|
Calculate
the Present Value of all cash Inflows associated with the project
|
Step 5:
|
Calculate
Net Present Value as follows:
Net
Present Value = Present Value of all Cash Inflows – Present Value of all cash
Outflows
|
Acceptance
Rule:
If
|
Decision
|
NPV > 0
|
Accept the Project. Surplus over and above the cut-off rate is
obtained
|
NPV = 0
|
Project generates cash flows
at a rate just equal to the Cost of Capital.
Hence, it may be accepted or rejected.
This constitutes an Indifference point.
|
NPV < 0
|
Reject the Project.
The Project does not provide
returns even equivalent to the cut–off rate.
|
Merits and Demerits
Merits
|
Demerits
|
It considers the time value
of money.
|
It requires the estimation of
cash Inflows and cash outflows, which is a difficult task.
|
It considers entire cash
flows over entire life of the project.
|
It requires the computation
of the cost of capital to be used as discount rate.
|
It is consistent with the
objective of maximizing the wealth of owners since NPV may be interpreted as
an immediate increase in firm’s wealth if the project is accepted.
|
It may not provide
satisfactory results in case of –
a.
Projects involving different
amounts of cash outflows.
b.
Projects having different
lives.
c.
Both (a) & (b)
|
It is measure of
profitability since entire cash flows over entire life of the project are
considered.
|
The ranking of projects
depends upon the discount rate.
|
It
is an absolute measure. It ignores the difference in initial cash outflows,
size of different projects, etc. while evaluating mutually exclusive projects
|
INTERNAL RATE OF RETURN
Meaning:
· Internal
rate of return (IRR) is the rate at which the sum total of discounted cash
inflows equals the discounted cash outflows.
· The
internal rate of return of a project is the discount rate, which makes net
presen t value of the project equal to zero.
· The
Discounted Rate i.e. Cost of Capital is assumed to be known in the
determination of net present value.
· While
in the Internal Rate of Return calculation, the Net Present Value is set equal
to zero and the discount rate, which satisfies this condition, is determined.
Interpretation:
Internal rate of retune can be
interpreted in two ways:
· IRR
represents the Rate to return on the unrecovered investment balance in the
project.
· IRR
is the Rate of Return earned on the initial investments made in the project.
Of these, the first view seems
to be more realistic, since it may not always be possible for an enterprise to
reinvest intermediate cash flows at a rate equal to the IRR.
Acceptance
Rule:
If
|
Decision
|
IRR > Ko
|
Accept the Project. Surplus over and above the cut-off rate is
obtained
|
IRR = Ko
|
Project generates cash flows at a
rate just equal to the Cost of Capital.
Hence, it may be accepted or
rejected. This constitutes an
Indifference Point.
|
IRR < Ko
|
Reject the Project.
The Project does not provide
returns even equivalent to the cut-off rate
|
Procedure
for computation of IRR:
Step 1
|
Calculate
NPV at a given rate say 10%
|
Step 2
|
Calculate
NPV at an alternate rate. Ensure that if one NPV is positive,
the other one must be negative. This is because “0” NPV lies between a
positive and a negative NPV.
|
Step 3
|
Apply
the formula given below. (interpolation)
|
IRR
|
=
|
LR
|
+
|
NPVLR
|
X (HR - LR)
|
|
NPVLR - NPVHR
|
Merits
and Demerits
Merits
|
Demerits
|
Ø Time
value of money is taken into account
|
It is tedious to compute in case of multiple cash
outflows. Multiple IRR’s may result, leading to difficulty in interpretation.
|
Ø All
cash inflows of the project arising at different points of time are
considered.
|
It may
conflict with NPV in case inflow/ outflow patterns are different in
alternative proposals.
|
Ø Decisions
are immediately taken by comparing IRR with the Cost of Capital.
|
The
presumption that all the future cash flows of a proposal are reinvested at a
rate equal to the IRR may not be practically valid.
|
Ø It
helps in achieving the basic objective of maximizations of shareholders
Wealth
|
CONFLICTS
BETWEEN NPV, PI & IRR
All the three techniques viz.
NPV, PI and IRR use the time value of money, But there are some conflicts among
them.
NPV
versus PI:
·
The
Discount Rates used in NPV and PI methods are the same. Hence for a given
project NPV and PI method give the same result, i.e. accept or Reject.
·
However
if we have to select one project out of two mutually excusive projects, the NPV
method should be preferred.
·
This
is because the NPV indicates the economic contribution or surplus of the
project in absolute terms. The higher the NPV, the better it is.
NPV
versus IRR:
Ø
Higher
the NPV, higher will be the IRR However, NPV and IRR may give conflicting
results in certain cases particularly when:
ü
Cash
Outflows arise at different points of time, rather than as Initial Investment
only.
ü
There
is a huge difference between initial CFAT and later years CFAT.
Ø
A
project with heavy initial CFAT than compared to later years will have higher
IRR and vice-versa.
Ø
The
NPV method considers the timing differences at the appropriate discount rate.
Ø
The
presumption in IRR is that intermediate cash inflows will be reinvested at that
rate (IRR);
Ø
Where
as in the case of NPV method; intermediate cash inflows are presumed to be
reinvested at the cut-off rate.
Ø
The
latter presumption viz. Reinvestment at the Cut-off Rate is more realistic than
reinvestment at IRR.
Ø
Hence
in case of conflicting decisions based on NPV and IRR, the NPV method must
prevail.
LIFE
DISPARITY
It means
projects having unequal lives.
Conflict
Resolution:
Equated Annual
Benefit Method (EAB)
EAB represents
the annuity which is desired in order to get the original NPV.
EAB = NPV / PVAF(n,r)
CAPITAL
RATIONING
Ø
When
the most important resource in investment decisions i.e funds, are not fully
available, it is said to be a Resource Constraint situation.
Ø
Generally,
firms fix up maximum amount that can be invested in capital project, during a
given period of time, say a year.
Return Maximisation:
Ø
In
case of restricted availability of funds, the objective of the firm is to
maximise the wealth of shareholders with the available funds.
Ø
Such
investment planning is called Capital Rationing.
Classification of
Investment Proposals:
For Capital
Rationing purposes, the investment proposals are classified as under.
DECISION MAKING
BASED ON VARIOUS TECHNIQUES
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Discounted Payback Period Formula