2. Capital Budgeting
Capital Budgeting Methods
NPV (Net Present Value)
Payback Period & Discounted payback
IRR (Internal Rate of Return)
PI (Profitability Index)
Practice of Capital Budgeting
Mini Case
3. Process to determine & evaluate potential
investment projects, i.e. build a new plant,
invest in a long-term venture
Purpose:
Determine which project yield the most return
over an applicable period, given a limited amount
of capital
4. Difference between present value of cash
inflows and the present value of cash outflows
NPV Rule:
Accept a project if the NPV is > 0
Reject a project if the NPV is < 0
5. The Alpha Corp. is considering investing in a riskless project
costing $100. The project receives $107 in one year and has no
other cash flows. The discount rate is 6%.
NPV = -$100 + $107 / 1.06
= $0.94
NPV > 0 Accept the project
6. NPV is considered the most common and
effective valuation methods:
Uses cash flows
Uses all cash flows of the project
Discount the cash flows properly
7. Definition
the length of time required to
recover the cost of an investment.
Decision Rule
Accept if the payback period is less
than some preset limit
8. The project cost : $ 60.000
Assume we will accept the project if it pays
back within two years.
Accept or Reject? Why?
Year 1 : $60.000 – 30.000 = 30.000 >> still to recover
Year 2 : $30.000 – 20.000 = 10.000 >> still to recover
Year 3 : $10.000 – 20.000 = -10.000 >> project pays back
9. Three project (initial cost $100) have the same three-year payback period
PROBLEM 1: Timing of Cash flow within the Payback Period
PROBLEM 2: Payment after the Payback Period
PROBLEM 3: Arbitrary Standard for Payback Period
Year A B C
0 -100 -100 -100
1 20 50 50
2 30 30 30
3 50 20 20
4 60 60 60.000
Payback
period
3 3 3
10. Definition
the length of time until the sum of the
discounted cash flows is equal to the initial
investment
Rule
Accept the project if its discounted
payback is less than some prespecified
number of years
11. The project cost : $100; discount rate 10%
Assume we will accept the project if it pay
back on discounted basis in 3 years.
Accept or Reject? Why?
Year 1 : $100 – 50/1.1 = $54.55 >> still to recover
Year 2 : $54.55 – 50/(1.1)2
= $13.23 >> still to recover
Year 3 : $13.23 – 20/(1.1)3
= -$1.8 >> project pays back
12. ADVANTAGES
Include time value of
money
Easy to understand
Does not accept negative
estimated NPV investment
DISADVANTAGES
May reject positive
investment
Requires an arbitrary
cutoff point
Ignores cash flows beyond
the cut off date
13. Definition
IRR is a metric used in capital budgeting
measuring the profitability of potential
investments.
Accept a project or an investment if the
IRR is greater than the minimum
required rate of return, typically the cost
of capital (discount rate)
Rules
14. 4 years project, that cost $500, with cash flow on table
The IRR = 27.3%
Notice that the Year 0 cash flow has a negative sign
represent the initial cost of the project
Year Cash Flow
0 -$500
1 100
2 200
3 300
4 400
15. Project A Project B Project C
Dates: 0 1 2 0 1 2 0 1 2
Cash flows -$100 $130 $100 -$130 -$100 $230 -$132
IRR 30% 30%
10 % and
20%
NPV @ 10% $18.2 -$18.2 0
Accept if
market rate
<30% >30%
>10% but
<20%
Financing or
Investing
Investing Financing Mixture
Project A has a cash outflow at date 0 followed by a cash inflow at date 1. its NPV is negatively related to the discount rate.
Project B has a cash inflow ate date 0 followed by a cash outflow at date 1. its NPV is positively related to the discount rate.
Project C has two changes of sign in its cash flows. It has an outflow ate date 0, an inflow at date 1, and outflow at date 2.
Project with more than one change of sign can have multiple rates of return.
16. Investing or Financing?
Project A : General rule apply
Project B : The opposite of the general rule apply
Multiple Rates of Return
Project C
NPV Rule : Accept the project if the discount rate is between 10%
and 20%, and reject it if the discount rate is lies outside this range
MIRR (modified IRR) : Which handles the multiple IRR problem
by combining cash flows until only one change in sign remains.
17. Modified internal rate of return (MIRR) assumes that positive cash flows are
reinvested at the firm's cost of capital, and the initial outlays are financed at the
firm's financing cost.
By contrast, the traditional internal rate of return (IRR) assumes the cash
flows from a project are reinvested at the IRR. The MIRR more accurately reflects
the cost and profitability of a project.
Advantage of Modified Internal Rate of Return (MIRR)
The MIRR allows project managers to change the assumed rate of reinvested
growth from stage to stage in a project. The most common method is to input
the average estimated cost of capital, but there is flexibility to add any specific
anticipated reinvestment rate.
18. Flows Number of IRRs IRR Criterion NPV Criterion
First cash flow is negative and all I Accept if IRR > R Accept if NPV > 0
remaining cash flows are positive Reject if IRR < R Reject if NPV < 0
First cash flow is positive and all I Accept if IRR < R Accept if NPV > 0
remaining cash flows are negative Reject if IRR > R Reject if NPV < 0
Some cash flows after first are
positive
May be more No valid IRR Accept if NPV > 0
and some cash flows after first are
negative
than I Reject if NPV < 0
19. The Scale Problem
This Bussiness poposition illustrates a defect with the IRR criterion. The basic IRR rule indicate the selection of Opportunity I
because the IRR is 50%. The IRR for opportunity II only 10%.
The problem with IRR is that it ignores issues of scale. Although opportunity I has a greater IRR, the investment is much
smaller. In other words, the high percentage return on opportunity I is more than offset by the ability to earn at least a
decent return on much bigger investment under opprtunitu II
The Timing Problem
It arises when mutually exclusive project have different cash flow timing
Cash flow at
Cash flow at End of
Class
NPV IRR
Beginning of Class (90 minutes later)
Opportunity I -$1 + $1.5 $ 0.5 50%
Opportunity II -$10 + $11 $ 1 10%
20. The Timing Problem
It arises when mutually exclusive project have different cash flow timing
21. Profitability Index (PI) =
Present Value of Future Cash Flows
Initial Investment Required
VIDEO PI
22. Hiram Finnegan Inc. (HFI), applies 12% discount rate to 2 investment project.
Initial
Investment
CF
1st year
CF
2nd year
1 -$20 $70 $10 $70,5 3,53 $50,5
2 -$10 $15 $40 $45,3 4,53 $35,3
1 - 2 -$10 $55 -$30 $25,2 2,52 $15,2
Profitability
Index
NPV at 12% disc rate
($ 000,000)
PV at 12% disc rate
($ 000,000)
Cash Flows ($ 000,000)
Project
CF 1st year CF 2nd year
1 + disc rate (1 + disc rate)
2
$70 $10
1,12 (1,12)
2
PV of Future
Cash Flows
+
+
=
=
PV of Future
Cash Flows
PV of Future
Cash Flows
= $70,5
$70,5
$20
Profitability
Index
= = 3,53
PV of Future Cash Flows
Initial Investment
Profitability
Index
=
23. Independent projects General Rules of PI
Mutually exclusive projects
Incremental cash flows (between 2 projects)
$25,2
$10
Profitability
Index
=
PV of Future Cash Flows
Initial Investment
Profitability
Index
= = 2,52
24. Capital Rationing i.e: budget investment $ 20 million
Initial
Investment
CF
1st year
CF
2nd year
1 -$20 $70 $10 $70,5 3,53 $50,5
2 -$10 $15 $40 $45,3 4,53 $35,3
3 -$10 -$5 $60 $43,4 4,34 $33,4
Project
Cash Flows ($ 000,000)
PV at 12% disc rate
($ 000,000)
Profitability
Index
NPV at 12% disc rate
($ 000,000)
If cash constraint forces the firm to choose either
Project 1 or Project 2 & 3.
Choose the higher PI Project 2 & Project 3.
26. 1st
Project 2nd
Project
NPV (+) NPV (+)
Short Payback Long Payback
High IRR Low IRR
All systems go, agree NPV
(+)
Good investment, but
getting conflicted signals.
Need further analysis
27.
28. Capital expenditures add up to enormous
sum for the economy of company as a whole
Capital budgeting of large firms are more
sophisticated from small firm
IRR & NPV are used more frequently than
payback period, in both firms
32. YEAR I YEAR II YEAR III YEAR IV YEAR V
OTHER REVENUE
LEASING F & B AREA 30,000,000 30,000,000 30,000,000 30,000,000 30,000,000
PARTY ROOM 32,000,000 32,000,000 40,000,000 40,000,000 40,000,000
TAX (property final) 10% -6,200,000 -6,200,000 -7,000,000 -7,000,000 -7,000,000
SPONSORSHIP 10,000,000 10,000,000 10,000,000 10,000,000 10,000,000
MONTHLY
NET OTHER REVENUE AFTER
TAX
65,800,000 65,800,000 73,000,000 73,000,000 73,000,000
ANNUAL NET OTHER REV 789,600,000 789,600,000 876,000,000 876,000,000 876,000,000
33. OPERATING COST
EMPLOYEE COST
Cost Per Unit Per
Month (Gross)
Cost X Unit Per
Month
GM 1 35,000,000 35,000,000
Head of Finance 1 22,000,000 22,000,000
Head of Operation 1 22,000,000 22,000,000
Admin Staff 1 4,500,000 4,500,000
Finance Staff & Cashier 6 4,500,000 27,000,000
Marketing Staff 1 4,500,000 4,500,000
Trainer and Safety
Officer 10 4,500,000 45,000,000
Security 7 4,500,000 31,500,000
Cleaning Service 7 4,500,000 31,500,000
Driver 1 4,000,000 4,000,000
Other Contract Service 1 20,000,000 20,000,000
247,000,000
Utility (Electricity, Water, Internet & Telephone) 80,000,000
Other Expense 25,000,000
TOTAL MONTHLY OPERATING
COST 352,000,000
annual cost increment 8%
37. (in Rupiah Millions) YEAR 0 YEAR I YEAR II YEAR III YEAR IV YEAR V FORMULA
y = 0 y = 1 y = 2 y = 3 y = 4 y = 5
CASH FLOW FROM LOAN & INVESTMENT
BANK LOAN a 8.000 -1.298 -1.434 -1.584 -1.750 -1.933
EQUIPMENT b -8.000 1.000
CASH FLOW FROM LOAN & INVESTMENT c 0 -1.298 -1.434 -1.584 -1.750 -933 c=a+b
CASH FLOW FROM OPERATION+INTEREST
INFLOW
Revenue From Entrance Fee d 13.666 15.865 16.708 17.550 18.392
Other Revenue e 790 790 876 876 876
SUB TOTAL INFLOW f 0 14.455 16.655 17.584 18.426 19.268 f=d+e
OUTFLOW
Set Up Expense g -1.200
Operating Expense h -4.224 -4.562 -4.927 -5.321 -5.747
Rental Expense i -5.946 -5.946 -5.946 -6.306 -6.667 0
Interest Expense j -742 -606 -455 -290 -106
Provisi (0.75% of Loan) k -60
Marketing & Promotion (5% of Fee Rev) l -683 -793 -835 -878 -920
SUB TOTAL OUTFLOW m -7.206 -11.595 -11.907 -12.524 -13.155 -6.773 m=g+h+i+j+k+l
CASH FLOW FROM OPERATION+INTEREST n -7.206 2.860 4.748 5.060 5.271 12.496 n=f+m
Depreciation Expenses o -1.600 -1.600 -1.600 -1.600 -1.600
PROFIT AFTER DEPRECIATION BEFORE TAX p -7.206 1.260 3.148 3.460 3.671 10.896
TAX (25%) q -315 -787 -865 -918 -2.724 q=25% x p
NET PROFIT AFTER TAX r -7.206 945 2.361 2.595 2.753 8.172 r=p+q
NET CASH FLOW s -7.206 1.247 2.527 2.610 2.603 8.838 s=c+n+q
DISCOUNTED NET CASH FLOW (16%) t -7.206 1.075 1.878 1.672 1.438 4.208 t=s/(1+12%)^y
38. IRR 28.5%
PAYBACK 3 years 4 months
DISCOUNTED PAYBACK (16%) 4 years 3 months
NPV (16%) Rp 3,065 (millions)
PROFITABILITY INDEX 1.43