Net Present Value (NPV)
The net present value (NPV) method is widely used in capital
budgeting and investment decisions. It is also considered as the
best single screening criterion to reject or accept a project
because the NPV method takes into account the time value of money
concept. Its value reflects an expected change in shareholders’
value caused by a project.
Decision rule
The decision rule in using the NPV method is rather
straightforward. The threshold value of zero indicates that a
project’s cash flows exactly cover the cost of invested capital and
provide the required rate of return on invested capital. The
general rules can be stated as follows:
- A stand-alone project should be accepted if its NPV is
positive, rejected in case it is negative, and stay indifferent if
zero.
- In the case of considering a number of independent projects,
all those that have a positive NPV should be accepted.
- Among several mutually exclusive projects, the one with the
highest positive net present value should be accepted.
Advantages of the Net Present Value Method
- The most important feature of the net present value method is
that it is based on the idea that dollars received in the future
are worth less than dollars in the bank today. Cash flow from
future years is discounted back to the present to find their
worth.
- The NPV method produces a dollar amount that indicates how much
value the project will create for the company. Stockholders can see
clearly how much a project will contribute to their value.
- The calculation of the NPV uses a company's cost of capital as
the discount rate. This is the minimum rate of return that
shareholders require for their investment in the company
Disadvantages of Net Present Value
- The biggest problem with using the NPV is that it requires
guessing about future cash flows and estimating a company's cost of
capital.
- The NPV method is not applicable when comparing projects that
have differing investment amounts. A larger project that requires
more money should have a higher NPV, but that doesn't necessarily
make it a better investment, compared to a smaller project.
Frequently, a company has other qualitative factors to
consider.
- The NPV approach is difficult to apply when comparing projects
that have different life spans. How do you compare a project that
has positive cash flows for five years versus a project that is
expected to produce cash flows for 20 years?
Internal rate of return (IRR)
Internal rate of return (IRR) is the interest rate at which the
net present value of all the cash flows (both positive and
negative) from a project or investment equal zero.
Decision rule
Internal rate of return is used to evaluate the attractiveness
of a project or investment. If the IRR of a new project exceeds a
company’s required rate of return, that project is desirable. If
IRR falls below the required rate of return, the project should be
rejected.
Advantages of Internal Rate of Return Method
- It considers the time value of money even though the annual
cash inflow is even and uneven.
- The profitability of the project is considered over the entire
economic life of the project. In this way, a true profitability of
the project is evaluated.
- There is no need of the pre-determination of cost of capital or
cut off rate. Hence, Internal Rate of Return method is better than
Net Present Value method.
- Sometimes, the pre-determination of cost of capital is very
difficult. At that time, Internal Rate of Return can be used to
evaluate the project.
- The ranking of project proposals is very easy under Internal
Rate of Return since it indicates percentage return.
- It provides for maximizing profitability.
- Internal Rate of Return takes into account the total cash
inflow and outflows.
- It gives much importance to the objective of maximizing
shareholder’s wealth.
Disadvantages of Internal Rate of Return Method
- This method assumed that the earnings are reinvested at the
internal rate of return for the remaining life of the project. If
the average rate of return earned by the firm is not close to the
internal rate of return, the profitability of the project is not
justifiable.
- It involves tedious calculations.
- This method gives importance only to the profitability but not
consider the earliest recouping of capital expenditure. The reason
is that sometimes Internal Rate of Return method favors a project
which comparatively requires a longer period for recouping the
capital expenditure. Under the conditions of future is uncertainty,
sometimes the full capital expenditure can not be recouped if
Internal Rate of Return followed.
- The results of Net Present Value method and Internal Rate of
Return method may differ when the projects under evaluation differ
in their size, life and timings of cash inflows.
Accounting rate of return (ARR)
The accounting rate of return (ARR) is the amount of profit, or
return, an individual can expect based on an investment made.
Accounting rate of return divides the average profit by the initial
investment to get the ratio or return that can be expected. ARR
does not consider the time value of money, which means that returns
taken in during later years may be worth less than those taken in
now, and does not consider cash flows, which can be an integral
part of maintaining a business.
Advantages of Accounting Rate of Return Method (ARR Method)
- It is very easy to calculate and simple to understand like pay
back period. It considers the total profits or savings over the
entire period of economic life of the project.
- This method recognizes the concept of net earnings i.e.
earnings after tax and depreciation. This is a vital factor in the
appraisal of a investment proposal.
- This method facilitates the comparison of new product project
with that of cost reducing project or other projects of competitive
nature.
- This method gives a clear picture of the profitability of a
project.
- This method alone considers the accounting concept of profit
for calculating rate of return. Moreover, the accounting profit can
be readily calculated from the accounting records.
- This method satisfies the interest of the owners since they are
much interested in return on investment.
- This method is useful to measure current performance of the
firm.
Disadvantages of Accounting Rate of Return Method
- The results are different if one calculates ROI and others
calculate ARR. It creates problem in making decisions.
- This method ignores time factor. The primary weakness of the
average return method of selecting alternative uses of funds is
that the time value of funds is ignored.
- A fair rate of return can not be determined on the basis of
ARR. It is the discretion of the management.
- This method does not consider the external factors which are
also affecting the profitability of the project.
- It does not taken into the consideration of cash inflows which
are more important than the accounting profits.
- It ignores the period in which the profits are earned as a 20%
rate of return in 10 years may be considered to be better than 18%
rate of return for 6 years. This is not proper because longer the
term of the project, greater is the risk involved.
- This method cannot be applied in a situation when investment in
a project to be made in parts.
- This method does not consider the life period of the various
investments. But average earnings is calculated by taking life
period of the investment. As a result, average investment or
initial investment may remain the same whether investment has a
life period of 4 years or 6 years.
- It is not useful to evaluate the projects where investment is
made in two or more installments at different times.