CONTENTS
1.
Review of capital budgeting techniques
2.
Investment appraisal techniques
3.
Projects selection under capital rationing
4.
Abandonment value
5.
Risk analysis in capital budgeting
6.
Actual measurement of risk
7.
Incorporating risk in capital budgeting
8.
Sensitivity analysis
9.
Break-even analysis
10.
A simulation approach to capital budgeting under
risk
11.
Decision tree for sequential decisions
12.
Utility theory
1.
REVIEW
OF CAPITAL BUDGETING TECHNIQUES
Capital budgeting (investment) decisions may
be defined as the firm's decisions to invest its current funds most efficiently
in the long-term assets in anticipation of an expected flow of benefit over a
series of years. The firm therefore:
(a)
exchanges current funds for future benefits
(b)
invests the funds in long-term assets
(c)
expects future benefit over a series of years
2.
INVESTMENT
APPRAISAL TECHNIQUES
The investment appraisal techniques can be categorised into
two groups:
(a)
Discounted Cashflow methods
i.
Net present value method ii.
Internal rate of return
iii.
Profitability index
(b)
Non-discounted cashflow method
i.
Accounting rate of return
ii.
Payback period
DISCOUNTED
CASHFLOW METHODS
1.
Net Present Value (NPV)
This
is defined mathematically as the present value of cashflow less the initial
outflow.
n
NPV = ∑ Ct t - I o
t=1 (1+K )
Where
Ct is the cashflow
K
is the opportunity cost of capital Io
is the initial cash outflow
n
is the useful life of the project
Decision
Rule using NPV
The
decision rule under NPV is to:
-
Accept the project if the NPV is positive
-
Reject the project if NPV is negative
Note:
if the NPV = 0, use other methods to make the decision.
2.
Internal Rate of Return (IRR)
The
internal rate of return of a project is that rate of return at which the
projects NPV = 0
Therefore
IRR occurs where:
n
NPV = ∑(1+Crt )t - I o = 0
t=1
Where
r = internal rate of return
Note that IRR is that ratio of return that causes the present value of
cashflows to be equal to the initial cash outflow.
Decision
Rule under IRR
If
IRR > opportunity cost of capital - accept the project
-
IRR < opportunity cost of capital - reject
the project
-
IRR = opportunity cost of capital - be
indifferent
3.
Profitability
Index
This
is a relative measure of projects profitability. It is given by the following formula.
n
∑t=1 (1+CKt )t
PI =