3. Capital Budgeting
A capital budgeting decisions is defined as the firm’s
decision to invest its current funds most efficiently in
the long-term assets in anticipation of an expected
flow of benefits over a series of years.
In other words, “capital budgeting is used to evaluate
the expenditure decisions such as acquisition of fixed
assets, changes in old assets and their replacement.”
3
4. Capital Budgeting….
Is the process of figuring out which projects are
financially worth an investing.
Firms should invest in projects that are only
worth more than they cost when the NPV is
positive.
Importance of capital budgeting
Long term investment involves risk
Huge investment and irreversible one
Helps to appropriately plan longrun in
business
4
5. Significance of capital budgeting
Essential tool in financial mgt-for evaluating
project
Helps to see the risk & uncertainty of the
project
Helps to keeping check an over or under
investment -controlling
5
6. Project Evaluation Techniques
There are two types of measures of project appraisal
techniques: undiscounted and discounted.
Non-discounting Methods
Ranking by inspection
The payback period
Proceeds per unit of outlay
Discounting methods of project selection
The Net present Value (NPV)
The internal rate of return of a project (IRR)
Modified Internal Rate of Return
6
7. Introduction
The basic underlying difference between these two lies in
the consideration of time value of money in the project
investment.
Undiscounted measures do not take into account the
time value of money, while discounted measures do.
7
8. Introduction
Many economic decisions involve benefits and
costs that are expected to occur at future
time period.
(for example: fish production)
The construction of pond, and fish tank, for example,
requires immediate cash outlay, which with the
production and sale of fish, will result in future cash
inflows or returns
In order to determine whether the future cash
inflows justify present Initial investment, we must
compare money spent today with the money
received in the future.
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9. Introduction
The time value of money influences many
production decisions. Everyone prefers money today
to money in the future.
The preference for the Birr now instead of a Birr in the
future arises from three basic reasons:
Uncertainty - Influences preferences because one is
never sure what will take place tomorrow.
Reinvestment-The sooner you get the dollar back,
the sooner you can reinvest it and earn a positive return;
Inflation - affects the purchasing power of the money.
Consumption Preference
9
11. Ranking by inspection
By this, the assessor will be interested in the
Investment cost of the project
Cash flow patterns
EX: Cash flows of hypothetical investments
The deficiency of this method:
It does not take into account the timing of the proceeds
11
Investment Initial cost (Birr) Net cash proceeds per year (Birr)
Year 1 Year 2
A 10,000 10,000 -
B 10,000 10,000 1,100
C 10,000 3,762 7,762
D 10,000 5,762 5,762
12. Ranking by inspection
1. Two investments have identical cash flows
investment B is better than investment A, because all
factors are equal except that B continues to earn proceeds
after A has been retired.
2. Two investments have the same initial outlay & the
same earning life & earn the same total proceeds.
Thus, investment D is more desirable than investment C
The deficiency of this method:
It does not take into account the timing of the proceeds
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13. 2. Payback period:
the length of time required to recover the initial
investment
using project cash flows, PBP answers 'How long
will it take to pay back its cost?'
Among alternative projects, the one with the
shortest payback period is more desirable .
Decision Rules:
• If payback < acceptable time limit, accept project
• If payback >acceptable time limit, reject project
13
14. For a project with equal annual receipts
Years 0 1 2 3 4 5
Project A 1,000,000 250,000 250,000 250,000 250,000 250,000
For a project with equal annual receipts:
Payback period= Initial investment/Annual cash
flow
PBP= 1,000,000/250,000= 4 years.
14
15. If the cash flows of a project are not uniform, the payback period is
calculated by accumulating a series of cash flows until the
amount reaches the initial investment. i.e. The progressive sum of the cash
flows after the initial outlay:
Years 0 1 2 3 4
Project B - 10,000 5,000 2,500 4,000 1,000
15
16. Years 0 1 2 3 4
Project B - 10,000 5,000 2,500 4,000 1,000
Cumulative
incremental flow
- 10,000 -5,000 -2,500 1,500 2,500
• Payback period lies between year 2 and year 3.
• At the end of year 2, the remaining amount to be collected= 2,500.
• This means (2500/4000)=0.625 or 62.5 % of the time is required
to gain a financial return equal to the original investments.
= 2.625 years or 2 years
and (.625 * 12 months)= 2 years and 8 months
16
17. 8-17
Example: Computing Payback for the Project
Do we accept or reject the project?
Capital Budgeting Project
Year CF Cum. CFs
0 (165,000)
$ (165,000)
$
1 63,120
$ (101,880)
$
2 70,800
$ (31,080)
$
3 91,080
$ 60,000
$
Payback = year 2 +
+ (31080/91080)
Payback = 2.34 years
18. Advantages of Payback
• It is simple to calculate.
• It is helpful in weeding out risky projects
The pay back period is sometimes used by investors
who are in short of cash and need to reinvest all cash
flows that occur in early stages of the projects.
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19. Disadvantages of Payback
• It ignores the time value of money.
• It may divert attention from profitability
There is no objective measure of what constitutes an
acceptable payback period.
It overlooks cash flows beyond the payback period.
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20. Undiscounted method-cont’d
3. Proceeds per unit of outlay
This is the ratio of the net value of production (proceeds)
to the total volume of the capital invested.
The deficiency of this method:
It does not take into account the timing of the proceeds
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Ranking by proceeds per unit (a Birr)of outlay
Investment project
Total proceeds Investment
outlay
Proceeds per Birr of
outlay(P/B=TP/IO)
Ranking
A
10,000 10,000 1.0 4
B
11,100 10,000 1.11 3
C
11,524 10,000 1.15 2
D
11,800 10,000 1.18 1
22. Time value of money
The Discounted Cash Flow (DCF) method takes into
account the time value of money
the value of money will change over time.
All other things being equal, a dollar received soon is worth
more than a dollar expected to be received in the distant
future
This is true for three different, yet related reasons:
Risk/ uncertainty
Reinvestment-The sooner you get the dollar back, the sooner you
can reinvest it and earn a positive return;
Due to the forces of economic inflation, the dollar we receive
in the distant future will have proportionately less buying power
than it does today.
In project management, the time value of money concept is
a foundational element to performing a financial analysis on
a project
22
23. Net present value (NPV)
Net present value (NPV) is the difference between the
present value of cash inflows and the present value of
cash outflows over a period of time.
NPV is used in capital budgeting to analyze the
profitability of a projected investment or project.
The following is the formula for calculating NPV:
NPV= Cf1/(1+i)1 + cf2/(1+i)2 + cf3/(1+i)3 + …….Cfn/(1+i)n -I0
In this equation: where
CFn = net cash inflow during the period n
Io = total initial investment costs
i = discount rate, and
n = number of time periods
23
24. Net present value (NPV)….
Net present value is the sum of the present values of all
the positive cash flows minus the sum of the present
values of all the negative cash flows.
Interpretation
NPV measures the net contribution of the project
to firm wealth.
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t = 0
t = 1 t = 2
t = 0
t = 2 t = 4
Initial Outlay0 NPV0 = ?
r = req’d return
t = 4
t = 3
t = 1
t = 3
CF1
CF2
–CF3
CF4
25. Discounting
Discounting: The process of converting future
benefits and costs/Cash flows into today’s
dollars/Birr.
the recognition that a future payoff amount is worth
something less than that amount today.
Discount rate, the interest rate used in the
discounting process, reflecting the time value of
money.
• It is set by Central Authority (MOFED in Ethiopia)
• It has been estimated to be in the range of 9.96- 10.49
percent with an average percentage figure of 10.23.
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26. NPV
All future cash flows should be discounted into present
values. The discount factor is:
Assume that a given project has a life of five years & a
discount rate (r) of 8% is used.
For example, the discount factor for year 3 (i.e. t=3) is
calculated as follows:
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FV = PV(1 + r)n…compounding
27. Net present value (NPV)
Consider Project A with the following cash flows:
The NPV for this project is…?
Decision?
Consider Project B with the following cash flows:
The NPV for this project is…?
Decision?
27
t = 0
t = 1 t = 2
–$100,000
r = 10%
t = 3
$20,000
$40,000
$45,000
$75,000
t = 4
t = 0
t = 1 t = 2
–$100,000
r = 10%
t = 3
$55,000
$45,000
$35,000
$25,000
t = 4
28. Net present value (NPV)
Consider Project A with the following cash flows:
The NPV for this project is $29,872.52.
Decision Accept the project.
Consider Project B with the following cash flows:
The NPV for this project is $27,783.12.
Decision Accept the project.
28
t = 0
t = 1 t = 2
–$100,000
r = 10%
t = 3
$20,000
$40,000
$45,000
$75,000
t = 4
t = 0
t = 1 t = 2
–$100,000
r = 10%
t = 3
$55,000
$45,000
$35,000
$25,000
t = 4
29. NPV calculations –example, r=8%
Question: Compute the NPV for project A & Project B:
29
year Cash flows for Project A Cash flows for Project B
0 (120,000) (75,000)
1 40,000 5,000
2 25,000 70,000
3 70,000 45,000
4 130,000 30,000
5 80,000 5,000
30. Solution
year Project A Discount factor Discounted cash flow
0 (120,000)
=
-120,000
1 40,000
37,037
2 25,000
21,433
3 70,000
55,568
4 130,000
95,554
5 80,000
54,447
Add them up NPV=
144,039
Project B
0 (75,000)
($75,000)
1 (5,000)
4,630)
2 70,000
60,014
3 45,000
35,723
4 30,000
22,051
5 5,000
3,403
Add them up NPV=
41,561
31. NPV-cont’d
where regular cash flows are expected [these are
termed as annuities], the above expression can be
reduced to:
Take-home Exercise: Compute the NPV for the
following three project alternatives at 3%, 5% & 8%
discount rates.
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Projects X Y Z
Costs ($)-Initial investment 10,380 10,380 10,380
Project life span (years) 5 15 25
Annual Benefits ($) 2,397 1,000 736
32. NPV-Cont’d
Net present value is expressed in terms of money, and it
represents the wealth that any single project is expected
to return to the company.
This wealth typically comes in the form of either making
or saving money.
In other words, a positive NPV project has the ability to
accomplish three things:
cover its own financing costs /to service the debt required
to finance its execution/
provide an attractive return to shareholders, and
add to the accumulated wealth of the company.
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33. 33
Rationale for the NPV Method
NPV = PV inflows – PV Cost
NPV = net gain in shareholder wealth
NPV=0 → Project’s inflows are “exactly sufficient to
repay the invested capital and provide the
required rate of return”
Decision Rules:
If the NPV is positive, accept the project
If the NPV is negative, reject the project.
If the NPV is zero, be indifferent
34. Advantages of NPV
• time value of money
• The cash flows
• It focuses on the profitability of the project.
• useful for the comparison and selection from
among mutually exclusive projects or when
capital rationing is used.
• It discounts cash flows by the cost of capital
• the managers can understand it more easily
34
35. Disadvantages of NPV
• If the investments are different, deciding the desirability of the project
based on the NPV will be misleading.
We have learnt that NPV tells us ‘how much birr is the net result of the project’ but
it does not tell us if this amount is the outcome of a big effort or a small one.
Example:
For Project A:
NPV= 10; {B-C=110-100=10]
Big differences in investment amount
For Project B:
NPV=15; [10,015-10,000=15]
• The cost of capital is assumed to remain constant throughout the life of
the project.
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36. Internal Rate of Return (IRR)
Definition and Decision Rule
IRR is also called DCF yield
DCF return on investment
IRR is the return to the capital invested or allocated or
investment in the project.
It is the discount rate that makes the NPV of cash
inflows is equal to the present value of cash flows, i.e.,
NPV=0
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37. IRR……
IRR is which makes NPV= 0,
To get the IRR we will be looking for ‘r’ in the above
formula which makes NPV equals zero.
However, the exact calculation of the IRR requires
some computation or trial and error process. For that
reason, an approximation is often favored.
The approximation procedure is based on the principle
that an interpolation between a positive and negative
net present value approximately close to the condition
of a NPV of zero
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38. 8-38
IRR ………
Definition:
IRR = discount rate that makes the
NPV = 0
Decision Rules:
• If IRR > cost of capital, accept the project
• If IRR < cost of capital, reject the project
• If IRR = cost of capital, be indifferent.
39. Example
Calculate the IRR and NPV where the project cost is 10%
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Project Year0 Year1 Year2 Year3 Year4 Year5 IRR(%) NPV
A (135) 10 40 70 80 50 20% 45.4
B (100) 40 40 50 40 - 25% 34.3
40. Use of interpolation formula
IRR= ri + NPVri X (rh-ri)
NPVri- (NPVrh)
First compute the NPV with a given cost
NPV= cf/(1+i)n – I0
NPV A = 10/(1+0.1)1+….-Io
NPV B
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41. Advantage and Disadvantage of IRR
Advantages of IRR
• the time value of money
• the total cash flows during the project life direct message
about the yield on the project.
Disadvantages of IRR
• It involves tedious work interpolation
• The IRR does not reflect the scale, or Birr/dollar size
• all proceeds are reinvested at the particular IRR,
• If there are non-conventional cash flows, it can produce
multiple rates.
41
42. Comparison of IRR & NPV
IRR is easier to understand by a wider community, since it
states yield in terms of %.
NPV directly measures the increase in value to the firm
NPV approach requires a discount rate, which may not always
be possible.
While NPV is a absolute measure IRR is a relative
measure.
Whenever there is a conflict between NPV and IRR always
use NPV
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43. Capital budgeting in practice
Firms should invest in projects that are worth more
than they cost. Investment projects are only worth
more than they cost when the net present value is
positive.
The net present value of a project is calculated by
discounting future cash flows, which are forecasted.
Thus, projects may appear to have positive NPV
because of errors in the forecasting.
To evaluate the influence of forecasting errors on the
estimated net present value of the projects several
tools exist:
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44. Capital budgeting in practice …
1. Sensitivity Analysis
– Analysis of the effect on estimated NPV when
underlying assumptions change, e.g. market
size, market share or opportunity cost of capital.
– Sensitivity analysis uncovers how sensitive
NPV is to changes in key variables.
44
45. Capital budgeting in practice …
2. Scenario Analysis
Analyzes the impact on NPV of a particular combination
of assumptions.
Scenario analysis is particularly helpful if variables are
interrelated, e.g. if the economy enters a recession due
to high oil prices, both the firm’s cost structure, the
demand for the product and inflation might change.
45
46. Capital budgeting in practice …
Senario Analysis ……
Thus, rather than analyzing the effect on NPV of a
single variable (as sensitivity analysis) scenario
analysis considers the effect on NPV of a consistent
combination of variables.
– Scenario analysis calculates NPV in different states,
e.g. pessimistic, normal, and optimistic.
Pessimistic – what happen when the economy enter
into recession
Increase in oil price which leads to
Inflation
Change of demand for the product
change of cost structure
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47. Capital budgeting in practice …
3.Break Even Analysis
Analysis of the level at which the company breaks even,
i.e. at which point the present value of revenues are
exactly equal to the present value of total costs.
Thus, break-even analysis asks the question how much
should be sold before the production turns profitable.
47
48. Capital budgeting in practice …
4. Simulation Analysis – Monte Carlo simulation considers
all possible combinations of outcomes by modeling the project.
Monte Carlo simulation involves four steps:
1. Modeling the project by specifying the project's cash
flows as a function of revenues, costs, depreciation and
revenues and costs as a function of market size, market
shares, unit prices and costs.
2. Specifying probabilities for each of the underlying
variables, i.e. specifying a range for e.g. the expected
market share as well as all other variables in the model
3. Simulate cash flows using the model and probabilities
assumed above and calculate the net present value
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49. Why Projects Have Positive NPV
In addition to performing a careful analysis of the
investment project's sensitivity to the underlying
assumptions, one should always strive to understand why
the project earns economic rent and whether the rents can
be sustained.
Economic rents are profits that are more than cover the
cost of capital.
Economic rents only occur if one has:
- Better product -
Lower costs
- Another competitive edge
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50. Even with a competitive edge one should not assume
that other firms will watch passively. Rather one should
try to answer these questions:
- How long can the competitive edge be sustained?
- What will happen to profits when the edge
disappears?
- How will rivals react to my move in the meantime?
o Will they cut prices?
o Will they imitate the product?
Sooner or later competition is likely to
eliminate economic rents.
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51. Comparison of IRR & NPV
IRR is easier to understand by a wider community, since
it states yield in terms of %.
NPV directly measures the increase in value to the firm
NPV approach requires a discount rate, which may not
always be possible.
While NPV is a absolute measure IRR is a relative
measure.
Whenever there is a conflict between NPV and IRR always
use NPV
51
52. Advantages of IRR
• the time value of money
• the total cash flows during the project life direct
message about the yield on the project.
Disadvantages of IRR
• It involves tedious work interpolation
• The IRR does not reflect the scale, or Birr/dollar
size
• all proceeds are reinvested at the particular
IRR,
• If there are non-conventional cash flows, it
can produce multiple rates.
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53. Discounted Payback Period
This improves upon the payback period by taking
into account the time value of money.
A project’s discounted payback period is the
number of years it takes for the net cash flows’
present values to pay back the net investment.
Again, shorter paybacks are better than longer
paybacks.
54. Discounted Payback Period-Example:
We will need a required rate of return for the
computation. Let’s use 10%.
Year CF (Birr)
0 -200,000
1 70,000
2 70,000
3 70,000
4 70,000
5 70,000
56. Discounted Payback Period
The DPP will be 3 years plus whatever proportion of
year 4 is needed to pay back the final Birr 25,921.
The discounted payback is 3.54 years.
This project recovers its net investment in 3.54 years
when considering the time value of money.
54
.
3
47,811
25,921
3
DPP
57. Discounted Payback Period
The DPP is an improvement upon the payback period
in 2 ways:
The DPP takes into account the time value of money.
There is an objective criterion for an acceptable DPP if
a project has normal cash flows.
Under these circumstances a project is acceptable if
the DPP is less than the economic life of the
project.
58. Discounted Payback Period-Exercise
what is the discounted Payback period given that the
discount rate is 10%
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Project Year Cash flow (in Birr)
0 -10000
1 5000
2 6000
3 8000
4 7000
5 6000
59. Discounted Payback Period- Exercise
what is the discounted Payback period?
59
Project Year Cash flow PV of Birr
1 at 10%
PV of cash flow Cumulative cash
savings
0 -10000 1.000 -10000 -10000
1 5000 0.909 4545 -5455
2 6000 0.826 4956 -499
3 8000 0.751 6008 5509
4 7000 0.683 4781 10290
5 6000 0.621 3726 14016
60. 8-60
Summary _Project appraisal In Practice
Consider all project appraisal criteria when making
decisions
NPV and IRR are the most commonly used primary
investment criteria
Payback is a commonly used secondary investment
criteria
All provide valuable information
61. 8-61
NPV Summary
Net present value =
Difference between market value (PV of
inflows) and cost
Accept if NPV > 0
No serious flaws
Preferred decision criterion
62. 8-62
IRR Summary
Internal rate of return =
Discount rate that makes NPV = 0
Accept if IRR > required return
Same decision as NPV with conventional
cash flows
Unreliable with:
Non-conventional cash flows
Mutually exclusive projects
63. 8-63
Payback Summary
Payback period =Length of time until initial
investment is recovered
Accept if payback < some specified target
Doesn’t account for time value of money
Ignores cash flows after payback
Arbitrary cutoff period
The best alternative: discounted payback
period