Capital Budgeting
Meaning of Capital Budgeting
Capital budgeting is the
process where the need of fixed assets is assessed and it is checked which
project for fixed assets is need to accepted and which project is to be
rejected. In this process, a quantitative analysis is done for the proposed
investment is done and then decision is taken after proper analysis.
Features of Capital Budgeting
1.
Capital budgeting is concerned with
long term decision making as it is related to fixed investments which are for
long term in an organization.
2.
It involves huge risks as there can be
the huge negative difference between initial investments and expected return.
3.
This process involves huge amount of
funding as it is concern with long term sources of funds.
4.
Investments made in the projects decide
the future of a company.
5.
Payback Period, Net Present Value Method, Internal Rate
of Return, and Profitability Index are the methods to carry out capital
budgeting.
6.
The process of capital budgeting involves the following steps
i.
Identifying the potential projects,
ii.
Evaluating them,
iii.
Selecting and implementing the projects,
iv.
Then finally reviewing the performance for future
considerations.
Techniques of Capital Budgeting
The most common methods of capital budgeting are as follows:
- Payback Period (PB)
- Internal Rate of Return (IRR)
- Net Present Value (NPV) and
- Profitability Index(PI)
1.
Payback Period Method
This method involves assessing the
proposed project on the basis of time taken in generating the initial capital invested
in the beginning. On the basis of this method, the project which is taking
least time to generate the enough capital what was invested in the beginning is
chosen by the company.
Formula
for calculating payback period under this method:
Example for this method
Suppose an enterprise has
with it Rs. 100 lac which it is seeking for making fixed investments and for
which there are two options available with the company:
1.
Project A which is having the initial
investment 100 lac and will contribute fixed 10% of investment annually.
2.
Project B which is also having the
initial investment of 100 lac but will contribute uneven cash inflow annually
in this way:
i.
First year : 20 lac
ii.
Second year: 30 lac
iii.
Third year : 10 lac
iv.
Fourth year : 60 lac
Thus, payback period for the first project would
be:
Payback period= Initial investment/Net annual
cash inflows
Initial investment = 100 lac,
Net annual cash flow = 100 lac/10%of 100 lac
=100 lac/10 lac = 10 years
→Payback period for Project B (as there is uneven inflow, we have to
calculate the payback period by calculating the cumulative flow for each year
for project B.
It will be calculated
this way:
How to choose payback
period for uneven cash flow:
Step 1: We have to choose the year in which the flow was last negative
(3rd year) → 3
Step2: Then divide the
cumulative flow of last negative year by total flow of first positive year
(fourth year) →40/60 = 0.6
Step 3: At last add the values
calculated in first two steps.
It will be calculated for the above
example in this way
3+4/6 = 3+ 0.6 = 3.6 are approx. 4 years.
So we will choose 4th year. So it will take 4 years to cover the outflows
Project A or B?
Obviously as the payback
period is less which is 4 years in project B. So company must choose Project B.
Advantages of Payback Period method:
i.
It is the most easiest and simplest method
even in uneven cash flows
ii.
It is the best method for small
business especially where the investment is done for shorter span of time.
Limitations of payback period method:
i.
Time value of money is not considered.
ii. And this method doesn’t calculate the flows post return. Some projects may generate high profits.
1.
Net Present Value Method (NPV) Method:
This method is also known
as “Discounted cash flow method” and
while computing the net present value, it considers the time value of money.
The decision of dropping or accepting the project is based on the net present
value of the investment. Net present value is
calculated by deducting the present value of cash outflows from the present
value of cash inflows and that decides the decision to drop or accept the
project. Net present value can be positive (when inflows are more than
outflows), zero (outflows and inflows are equal) or negative (outflows are more
than inflows).
Formula for calculating Net present value under this method:
Example for NPV method:
Suppose
a project requires initial investment of 10 lac and cash inflow for 4 years:
i.
First year : 2 lac
ii.
Second year: 3 lac
iii.
Third year : 4 lac
iv.
Fourth year : 6 lac
v.
Addition: 12% is the discount rate.
Net present value calculation:
As the net present value
is positive, the project seems attractive, company may go for it.
Advantages of NPV method:
i.
It involves Time value of money.
ii.
It is the easy method as compared to
IRR method.
Limitations of Net Present value
method:
i.
It is complex method as compared to other
methods.
ii. It assumes that there is immediate reinvestment of cash inflows. But this assumption doesn’t settle down sometimes.
1.
Internal Rate of Return (IRR):
IRR method works on one
basic assumption that NPV is Zero (the inflows are equal to outflows). It is
the most complicated method as it also involves calculation of time value of
money.
A project is accepted
when IRR is more than average cost of capital which is basically calculated on the basis of
present value of future inflows and if IRR is less than average cost of capital,
the project is canceled. In the cases where there are many projects to choose
from, then the project with highest IRR is accepted.
Formula for Internal rate of return under this method:
0 = C1/(1+r) + C2/(1+r)2 +
C3/(1+r)3+ ....+ Cn/(1+r)n -
initial investment
Internal Rate of Return Rule = Accept
investments if IRR greater than Threshold Rate of Return, else reject.
Example for IRR method:
Let
suppose there are two projects for the company named project A and Project B.
Both the
projects require initial investment of 100 lac and cash inflow for 4 years:
As we
have assumed the threshold rate of return to be 12% but Product A , at 12% IRR
, it is having positive net flow , this continues till 15 % and as at 16%, it
will start giving negative net flow. So in conclusion we can say the IRR for
Project A would be 15%.
Similarly, let us check IRR for project B
There is
constant inflow of 40 lac in all the 5 years for project B and talking about
the assumed IRR that was 12%, Project B can hold for more than that and as we
can see through the sheet that there is positive flow till the IRR is 21% and
it started getting negative when it was increased to 22%. So, we can say that
IRR for project B is 22% which is
even greater than IRR of Project A which was 15% that tells us that a company
must go with Project B.
Advantages of IRR method:
i.
It involves the
calculation of present value of inflows which means it considers time value of
money.
ii.
It gives the limit of
IRR.
Limitations of Internal rate of return
method:
i.
It is the most complicated method as
involves time value of value
ii.
It is a hit and trial method, it
becomes difficult to calculate the exact IRR of a project.
IRR method works on one
basic assumption that NPV is Zero (the inflows are equal to outflows). It is
the most complicated method as it also involves calculation of time value of
money.
A project is accepted
when IRR is more than average cost of capital which is basically calculated on the basis of
present value of future inflows and if IRR is less than average cost of capital,
the project is canceled. In the cases where there are many projects to choose
from, then the project with highest IRR is accepted.
Formula for Internal rate of return under this method:

Internal Rate of Return Rule = Accept
investments if IRR greater than Threshold Rate of Return, else reject.
Example for IRR method:
Let suppose there are two projects for the company named project A and Project B.
Both the projects require initial investment of 100 lac and cash inflow for 4 years:
As we
have assumed the threshold rate of return to be 12% but Product A , at 12% IRR
, it is having positive net flow , this continues till 15 % and as at 16%, it
will start giving negative net flow. So in conclusion we can say the IRR for
Project A would be 15%.
Similarly, let us check IRR for project B
There is
constant inflow of 40 lac in all the 5 years for project B and talking about
the assumed IRR that was 12%, Project B can hold for more than that and as we
can see through the sheet that there is positive flow till the IRR is 21% and
it started getting negative when it was increased to 22%. So, we can say that
IRR for project B is 22% which is
even greater than IRR of Project A which was 15% that tells us that a company
must go with Project B.
Advantages of IRR method:
i.
It involves the
calculation of present value of inflows which means it considers time value of
money.
ii.
It gives the limit of
IRR.
Limitations of Internal rate of return
method:
i.
It is the most complicated method as
involves time value of value
ii.
It is a hit and trial method, it
becomes difficult to calculate the exact IRR of a project.
1.
Profitability Index
This method is particularly used for
calculation of ratio of present value of future cash flows to initial
investment. for analyzing the projects on the basis of profitability Index, it
is assumed that if the relation between present value of future inflows to
initial investment is less than 1.00
which basically means the initial investment is more than the net inflows, then
the project would be rejected otherwise
if the ratio between the two is more
than 1 which means there are more
cash inflows than the initial investment that indicates that the project should
be accepted.
Formula for this method:
Example for PI method:
Suppose
a project named XYZ requires initial investment of 10 lac and cash inflow for 4
years:
i.
First year : 20 lac
ii.
Second year: 30 lac
iii.
Third year : 40 lac
iv.
Fourth year : 60 lac
v.
Addition: 12% is the discount rate
Now let us calculate the exact cash flow for Project XYZ
So, Profitability Index of Project XYZ with 12% discount = NPV
of Inflow + Initial Investment
Initial Investment
= 10840000/10000000
=1.08
As per the assumption of the method, the profitability index
is positive and more than 1.00 for the 12% discount rate, and therefore, the
proposed project will be selected.
Advantages of Profitability Index
method:
i.
Its
main advantage is that it is mathematically supports the decision for individual
projects as NPV.
Limitations of Profitability Index
method:
i.
There
can be huge differences in the cash inflows and while using this method, PI
ranking can be conflicting when will come to NPV ranking.
Conclusion:
As there are some limitations in every method
of capital budgeting. Which method is to be used depends on the circumstances
and type of business.
- For example: For small businesses where
the investments are made generally for shorter span of time, payback period
would be acceptable as it doesn’t include time value of money, it would be
quite simple for a small business.
- Talking about when there is longer time
span of investment, rest of the methods would be considered good based on the
complexity and number of projects which are proposed and also depends on the
requirement of investment.
This method is particularly used for
calculation of ratio of present value of future cash flows to initial
investment. for analyzing the projects on the basis of profitability Index, it
is assumed that if the relation between present value of future inflows to
initial investment is less than 1.00
which basically means the initial investment is more than the net inflows, then
the project would be rejected otherwise
if the ratio between the two is more
than 1 which means there are more
cash inflows than the initial investment that indicates that the project should
be accepted.
Formula for this method:
Example for PI method:
Suppose
a project named XYZ requires initial investment of 10 lac and cash inflow for 4
years:
i.
First year : 20 lac
ii.
Second year: 30 lac
iii.
Third year : 40 lac
iv.
Fourth year : 60 lac
v.
Addition: 12% is the discount rate
Now let us calculate the exact cash flow for Project XYZ
So, Profitability Index of Project XYZ with 12% discount = NPV
of Inflow + Initial Investment
Initial Investment
= 10840000/10000000
=1.08
As per the assumption of the method, the profitability index
is positive and more than 1.00 for the 12% discount rate, and therefore, the
proposed project will be selected.
Advantages of Profitability Index
method:
i.
Its
main advantage is that it is mathematically supports the decision for individual
projects as NPV.
Limitations of Profitability Index
method:
i.
There
can be huge differences in the cash inflows and while using this method, PI
ranking can be conflicting when will come to NPV ranking.
Conclusion:
As there are some limitations in every method
of capital budgeting. Which method is to be used depends on the circumstances
and type of business.
- For example: For small businesses where
the investments are made generally for shorter span of time, payback period
would be acceptable as it doesn’t include time value of money, it would be
quite simple for a small business.
- Talking about when there is longer time
span of investment, rest of the methods would be considered good based on the
complexity and number of projects which are proposed and also depends on the
requirement of investment.






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