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Strategic
Strategic Financial
Financial Management
Management
MEASURING RETURN ON INVESTMENTS
Khuram Raza
ACMA, Ms Finance


First Principle and Big Picture


What is a project?

Capital Budgeting?
The process of identifying, analyzing, and selecting investment projects whose returns (cash flows)
are expected to extend beyond one year.
Project analyzed in capital budgeting has three criteria:

 a large up-front cost,
 cash flows for a specific time period, and
 a salvage value at the end, which captures the value of the assets of the project when the
project ends.


What is a project?
ect

Defined broadly then, any of the following decisions would qualify as projects:
Proj


dent

 Major strategic decisions to enter new areas of business
 Acquisitions of new equipment , building or other firms
 Decisions on new ventures within existing businesses or markets
 Decisions that may change the way existing ventures and projects are run
 Decisions on how best to deliver a service that is necessary for the business to run smoothly.
pen

Inde

ects
Proj
e

usiv
Excl
y

uall
Mut
s
nue
reve
e
erat
gen
to
ect
proj

s
cost
ce
redu
to
ect
proj


Hurdle rates for projects
Project Characteristics

 Project is small and has characteristics similar to the firm



Cost of Equity: Project Risk similar within business, Firm’s beta




Cost of Equity: Proxy business Beta, Bottom up Beta




Cost of Equity: Assess the project risk independently, Bottom up Beta

Cost of Debit: Firm’s cost of debt


 Project is large and has characteristics different from the firm
Cost of Debt: cost of debt of the comparable firms

 Stand-alone Project
Cost of Debt: cost of debt of the Project


Measuring Returns: The Choices

A. Accounting Earnings versus Cash Flows
 Why are accounting earnings different from cash flows?




Operating versus Capital Expenditure





Add back all non-cash charges, such as depreciation and amortization, to the operating earnings

Non-Cash Charges
Accrual versus Cash Revenues and Expenses

 From Accounting Earnings to Cash flows
Subtract out all cash outflows that represent capital expenditures
Net out the effect of changes in non-cash working capital, i.e. changes in accounts receivable, inventory and
accounts payable.



Measuring Returns: The Choices

B. Total versus Incremental Cash Flows
Sunk Costs
Allocations of fixed expenses, such as general and administrative costs
C. Time-Weighted versus Nominal Cash Flows
Prefer present consumption to future consumption
Inflation
Uncertainty (risk)


Measuring Returns: The Choices
Basic characteristics of relevant project flows

 Cash (not accounting income) flows
 Operating (not financing) flows
 After-tax flows
 Incremental flows

Principles that must be adhered to in the estimation
Ignore sunk costs
Include opportunity costs
Include project-driven changes in working capital net of spontaneous
changes in current liabilities
Include effects of inflation








Investment Decision Rules
Accounting Income Based Decision Rules
Earnings before interest and taxes (1- tax rate)

Return on Capital =
Average Book Value of Total Investment in Project

Net Income

Return on Equity=
Average Book Value of Equity Investment in Project


Cash Flow Based Decision Rules
Payback

The payback on a project is a measure of how quickly the cash
flows generated by the project cover the initial investment

0

–40 K

1

10 K


2

12 K

3

15 K

4

10 K

5

7K

Julie Miller is evaluating a new project for her firm, Basket Wonders (BW). She
has determined that the after-tax cash flows for the project will be $10,000;
$12,000; $15,000; $10,000; and $7,000, respectively, for each of the Years 1
through 5. The initial cash outlay will be $40,000.


Payback
Payback Solution
Solution (#1)
(#1)

0


(-b)

–40 K

1

2

10 K

12 K

10 K

Cumulative
Inflows

PBP

(a) 4

3

22 K

15 K
37 K

=a+(b–c)/d
= 3 + (3) / 10


10 K
(c) 47 K

5

(d)

7K
54 K

= 3 + (40 – 37) / 10
= 3.3 Years


Payback
Payback Solution
Solution (#2)
(#2)

–40 K

–30 K

0

1

2


3

4

5

–40 K

10 K

12 K

15 K

10 K

7K

–18 K

PBP
Cumulative
Cash Flows

–3 K

7K

= 3 + ( 3K ) / 10K


14 K

= 3.3 Years

Note: Take absolute value of last negative cumulative cash flow value.


PBP
PBP Acceptance
Acceptance Criterion
Criterion

The management of Basket Wonders has set a maximum PBP of 3.5 years
for projects of this type.
Should this project be accepted?

Yes! The firm will receive back the initial cash outlay in less than 3.5 years. [3.3
Years < 3.5 Year Max.]


Limitations

 By restricting itself to answering the question

“When will this project make its initial
investment?” it ignores what happens after the initial investment is recouped.

 The payback rule is designed to cover the conventional project that involves a large up-front
investment followed by positive operating cash flows.


 The payback rule uses nominal cash flows and counts cash flows in the early years the same
as cash flows in the later years.


Internal
Internal Rate
Rate of
of Return
Return (IRR)
(IRR)

IRR is the discount rate that equates the present value of the future net cash flows
from an investment project with the project’s initial cash outflow.

ICO =

CF1
+

1
(1 + IRR)

CF2
(1 + IRR)

CFn

2

+...+


(1 + IRR)

n


IRR
IRR Solution
Solution

$40,000 =

$10,000
(1+IRR)
$15,000
+
3
(1+IRR)

1

$12,000
+
2
(1+IRR)
$10,000
(1+IRR)

4


+

$7,000
+
5
(1+IRR)

Find the interest rate (IRR) that causes the discounted cash flows to equal $40,000.


IRR
IRR Solution
Solution (Try
(Try 10%)
10%)

$40,000 =

$10,000(PVIF10%,1) + $12,000(PVIF10%,2) +

$10,000(PVIF10%,4) +
$40,000 =

$15,000(PVIF10%,3) +

$ 7,000(PVIF10%,5)

$10,000(0.909) + $12,000(0.826) +

$15,000(0.751) + $10,000(0.683) +


$ 7,000(0.621)
$40,000 =

$9,090 + $9,912 + $11,265 +
= $41,444

[Rate is too low!!]

$6,830 + $4,347


IRR
IRR Solution
Solution (Try
(Try 15%)
15%)

$40,000 =

$10,000(PVIF15%,1) + $12,000(PVIF15%,2) +

$10,000(PVIF15%,4) +
$40,000 =

$15,000(PVIF15%,3) +

$ 7,000(PVIF15%,5)

$10,000(0.870) + $12,000(0.756) +


$15,000(0.658) + $10,000(0.572) +

$ 7,000(0.497)
$40,000 =

$8,700 + $9,072 + $9,870 +
= $36,841

[Rate is too high!!]

$5,720 + $3,479


IRR
IRR Solution
Solution (Interpolate)
(Interpolate)
5%
10%

15%

$40,000

$41,444
$1,444

-$ 3,159 $36,841
$ 4,603


16% +- 3,159
10%
1,444

x

5%
4,603

11.57%


IRR
IRR Acceptance
Acceptance Criterion
Criterion

The management of Basket Wonders has determined that the hurdle rate is
13% for projects of this type.
Should this project be accepted?

No! The firm will receive 11.57% for each dollar invested in this project at a
cost of 13%. [ IRR < Hurdle Rate ]


IRR
IRR Strengths
Strengths
and

and Weaknesses
Weaknesses

Strengths:

• Accounts for
• Considers all

TVM
cash flows

Weaknesses:

• Assumes all cash
at

flows reinvested

the IRR

• Difficulties with
Multiple IRRs

project rankings and


Net
Net Present
Present Value
Value (NPV)

(NPV)

NPV is the present value of an investment project’s net cash flows
minus the project’s initial cash outflow.

NPV =

CF1
+
1
(1+k)

CF2
2
(1+k)

CFn
+...+
n
(1+k)

- ICO


NPV
NPV Solution
Solution

Basket Wonders has determined that the appropriate discount rate (k) for this
project is 13%.


NPV =

$10,000
+
1
(1.13)
$10,000
(1.13)

4

$12,000 $15,000
+
2
3
(1.13)
(1.13)

$7,000
+

(1.13)

5

- $40,000

+



NPV
NPV Solution
Solution

NPV =

$10,000(PVIF13%,1) + $12,000(PVIF13%,2) +

$10,000(PVIF13%,4) +
NPV =

$15,000(PVIF13%,3) +

$ 7,000(PVIF13%,5) – $40,000

$10,000(0.885) + $12,000(0.783) +

$15,000(0.693) + $10,000(0.613) +

$ 7,000(0.543) – $40,000
NPV =
=

$8,850 + $9,396 + $10,395 +
- $1,428

$6,130 + $3,801 – $40,000



NPV
NPV Acceptance
Acceptance Criterion
Criterion

The management of Basket Wonders has determined that the required rate
is 13% for projects of this type.
Should this project be accepted?

No! The NPV is negative. This means that the project is reducing shareholder
wealth. [Reject as NPV < 0 ]


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