Capital budgeting focuses on cash flows rather than accounting profits. It is important to consider the timing and amounts of incremental cash inflows and outflows of a potential investment. Financing costs should be excluded from cash flow analyses. Non-cash expenses like depreciation affect cash flows through tax savings, so these tax impacts should be included. Terminal value calculations are also important to capture long-term value beyond the initial forecast period.
This pdf is only to learn payback, timevalue of money and IIr
and there example are also given by me to easy to lean there example if any doute then contact me...
time value of money
,
concept of time value of money
,
significance of time value of money
,
present value vs future value
,
solve for the present value
,
simple vs compound interest rate
,
nominal vs effective annual interest rates
,
future value of a lump sum
,
solve for the future value
,
present value of a lump sum
,
types of annuity
,
future value of an annuity
Describes in detail the steps involved in the calculation of Internal Rate of Return. Useful to students of Under graduate, post graduate and professional course students pursuing course in finance
The presentation slide is on stock valuation. We have tried to present the various techniques to stock valuation under which different methods are discussed with illustrations. Key concepts:
Zero Growth Model
Balance sheet Technique
Constant Growth Model
Two-stage growth Model
Feel Free to comment.
This pdf is only to learn payback, timevalue of money and IIr
and there example are also given by me to easy to lean there example if any doute then contact me...
time value of money
,
concept of time value of money
,
significance of time value of money
,
present value vs future value
,
solve for the present value
,
simple vs compound interest rate
,
nominal vs effective annual interest rates
,
future value of a lump sum
,
solve for the future value
,
present value of a lump sum
,
types of annuity
,
future value of an annuity
Describes in detail the steps involved in the calculation of Internal Rate of Return. Useful to students of Under graduate, post graduate and professional course students pursuing course in finance
The presentation slide is on stock valuation. We have tried to present the various techniques to stock valuation under which different methods are discussed with illustrations. Key concepts:
Zero Growth Model
Balance sheet Technique
Constant Growth Model
Two-stage growth Model
Feel Free to comment.
A presentation outlining the reducing balance method for depreciation. This is a new skill required of VCE students in the new VCE Accounting Study Design and attempts to explain the concept in plain English.
The difference between the present value of cash inflows and the present value of cash outflows. NPV is used in capital budgeting to analyze the profitability of an investment or project.
Payback period (PP) is the number of years it takes for a company to recover its original investment in a project, when net cash flow equals zero. In the calculation of the payback period, the cash flows of the project must first be estimated. The payback period is then a simple calculation.
A presentation outlining the reducing balance method for depreciation. This is a new skill required of VCE students in the new VCE Accounting Study Design and attempts to explain the concept in plain English.
The difference between the present value of cash inflows and the present value of cash outflows. NPV is used in capital budgeting to analyze the profitability of an investment or project.
Payback period (PP) is the number of years it takes for a company to recover its original investment in a project, when net cash flow equals zero. In the calculation of the payback period, the cash flows of the project must first be estimated. The payback period is then a simple calculation.
Top of Form 1.The difference between the present value.docxamit657720
Top of Form
1.
The difference between the present value of an investment?s future cash flows and its initial cost is the:
net present value.
internal rate of return.
payback period.
profitability index.
discounted payback period.
References
Multiple Choice
Section: 5.1 Net Present Value and Other Investment Rules
2.
Which statement concerning the net present value (NPV) of an investment or a financing project is correct?
A financing project should be accepted if, and only if, the NPV is exactly equal to zero.
An investment project should be accepted only if the NPV is equal to the initial cash flow.
Any type of project should be accepted if the NPV is positive and rejected if it is negative.
Any type of project with greater total cash inflows than total cash outflows, should always be accepted.
An investment project that has positive cash flows for every time period after the initial investment should be accepted.
References
Multiple Choice
Section: 5.1 Net Present Value and Other Investment Rules
3.
The primary reason that company projects with positive net present values are considered acceptable is that:
they create value for the owners of the firm.
the project's rate of return exceeds the rate of inflation.
they return the initial cash outlay within three years or less.
the required cash inflows exceed the actual cash inflows.
the investment's cost exceeds the present value of the cash inflows.
References
Multiple Choice
Section: 5.1 Net Present Value and Other Investment Rules
4.
Accepting a positive net present value (NPV) project:
indicates the project will pay back within the required period of time.
means the present value of the expected cash flows is equal to the project’s cost.
ignores the inherent risks within the project.
guarantees all cash flow assumptions will be realized.
is expected to increase the stockholders’ value by the amount of the NPV.
References
Multiple Choice
Section: 5.1 Net Present Value and Other Investment Rules
5.
The net present value method of capital budgeting analysis does all of the following
except:
incorporate risk into the analysis.
consider all relevant cash flow information.
use all of a project's cash flows.
discount all future cash flows.
provide a specific anticipated rate of return.
References
Multiple Choice
Section: 5.1 Net Present Value and Other Investment Rules
6.
What is the net present value of a project with an initial cost of $36,900 and cash inflows of $13,400, $21,600, and $10,000 for Years 1 to 3, respectively? The discount rate is 13 percent.
−$287.22
−$1,195.12
−$1,350.49
$204.36
$797.22
References
Multiple Choice
Section: 5.1 Net Present Value and Other Investment Rules
7.
Maxwell Software, Inc., has the following mutually exclusive projects.
Year
Project A
Project B
0
–$29,000
–$32,000
1
16,500
17,500
2
13,000
11,500
3
3,800
13,000
a-1.
Calculate the payback period for each project.
(Do not round interme ...
how can I sell pi coins after successfully completing KYCDOT TECH
Pi coins is not launched yet in any exchange 💱 this means it's not swappable, the current pi displaying on coin market cap is the iou version of pi. And you can learn all about that on my previous post.
RIGHT NOW THE ONLY WAY you can sell pi coins is through verified pi merchants. A pi merchant is someone who buys pi coins and resell them to exchanges and crypto whales. Looking forward to hold massive quantities of pi coins before the mainnet launch.
This is because pi network is not doing any pre-sale or ico offerings, the only way to get my coins is from buying from miners. So a merchant facilitates the transactions between the miners and these exchanges holding pi.
I and my friends has sold more than 6000 pi coins successfully with this method. I will be happy to share the contact of my personal pi merchant. The one i trade with, if you have your own merchant you can trade with them. For those who are new.
Message: @Pi_vendor_247 on telegram.
I wouldn't advise you selling all percentage of the pi coins. Leave at least a before so its a win win during open mainnet. Have a nice day pioneers ♥️
#kyc #mainnet #picoins #pi #sellpi #piwallet
#pinetwork
The Evolution of Non-Banking Financial Companies (NBFCs) in India: Challenges...beulahfernandes8
Role in Financial System
NBFCs are critical in bridging the financial inclusion gap.
They provide specialized financial services that cater to segments often neglected by traditional banks.
Economic Impact
NBFCs contribute significantly to India's GDP.
They support sectors like micro, small, and medium enterprises (MSMEs), housing finance, and personal loans.
If you are looking for a pi coin investor. Then look no further because I have the right one he is a pi vendor (he buy and resell to whales in China). I met him on a crypto conference and ever since I and my friends have sold more than 10k pi coins to him And he bought all and still want more. I will drop his telegram handle below just send him a message.
@Pi_vendor_247
how to swap pi coins to foreign currency withdrawable.DOT TECH
As of my last update, Pi is still in the testing phase and is not tradable on any exchanges.
However, Pi Network has announced plans to launch its Testnet and Mainnet in the future, which may include listing Pi on exchanges.
The current method for selling pi coins involves exchanging them with a pi vendor who purchases pi coins for investment reasons.
If you want to sell your pi coins, reach out to a pi vendor and sell them to anyone looking to sell pi coins from any country around the globe.
Below is the contact information for my personal pi vendor.
Telegram: @Pi_vendor_247
USDA Loans in California: A Comprehensive Overview.pptxmarketing367770
USDA Loans in California: A Comprehensive Overview
If you're dreaming of owning a home in California's rural or suburban areas, a USDA loan might be the perfect solution. The U.S. Department of Agriculture (USDA) offers these loans to help low-to-moderate-income individuals and families achieve homeownership.
Key Features of USDA Loans:
Zero Down Payment: USDA loans require no down payment, making homeownership more accessible.
Competitive Interest Rates: These loans often come with lower interest rates compared to conventional loans.
Flexible Credit Requirements: USDA loans have more lenient credit score requirements, helping those with less-than-perfect credit.
Guaranteed Loan Program: The USDA guarantees a portion of the loan, reducing risk for lenders and expanding borrowing options.
Eligibility Criteria:
Location: The property must be located in a USDA-designated rural or suburban area. Many areas in California qualify.
Income Limits: Applicants must meet income guidelines, which vary by region and household size.
Primary Residence: The home must be used as the borrower's primary residence.
Application Process:
Find a USDA-Approved Lender: Not all lenders offer USDA loans, so it's essential to choose one approved by the USDA.
Pre-Qualification: Determine your eligibility and the amount you can borrow.
Property Search: Look for properties in eligible rural or suburban areas.
Loan Application: Submit your application, including financial and personal information.
Processing and Approval: The lender and USDA will review your application. If approved, you can proceed to closing.
USDA loans are an excellent option for those looking to buy a home in California's rural and suburban areas. With no down payment and flexible requirements, these loans make homeownership more attainable for many families. Explore your eligibility today and take the first step toward owning your dream home.
what is the best method to sell pi coins in 2024DOT TECH
The best way to sell your pi coins safely is trading with an exchange..but since pi is not launched in any exchange, and second option is through a VERIFIED pi merchant.
Who is a pi merchant?
A pi merchant is someone who buys pi coins from miners and pioneers and resell them to Investors looking forward to hold massive amounts before mainnet launch in 2026.
I will leave the telegram contact of my personal pi merchant to trade pi coins with.
@Pi_vendor_247
How to get verified on Coinbase Account?_.docxBuy bitget
t's important to note that buying verified Coinbase accounts is not recommended and may violate Coinbase's terms of service. Instead of searching to "buy verified Coinbase accounts," follow the proper steps to verify your own account to ensure compliance and security.
Empowering the Unbanked: The Vital Role of NBFCs in Promoting Financial Inclu...Vighnesh Shashtri
In India, financial inclusion remains a critical challenge, with a significant portion of the population still unbanked. Non-Banking Financial Companies (NBFCs) have emerged as key players in bridging this gap by providing financial services to those often overlooked by traditional banking institutions. This article delves into how NBFCs are fostering financial inclusion and empowering the unbanked.
What website can I sell pi coins securely.DOT TECH
Currently there are no website or exchange that allow buying or selling of pi coins..
But you can still easily sell pi coins, by reselling it to exchanges/crypto whales interested in holding thousands of pi coins before the mainnet launch.
Who is a pi merchant?
A pi merchant is someone who buys pi coins from miners and resell to these crypto whales and holders of pi..
This is because pi network is not doing any pre-sale. The only way exchanges can get pi is by buying from miners and pi merchants stands in between the miners and the exchanges.
How can I sell my pi coins?
Selling pi coins is really easy, but first you need to migrate to mainnet wallet before you can do that. I will leave the telegram contact of my personal pi merchant to trade with.
Tele-gram.
@Pi_vendor_247
What price will pi network be listed on exchangesDOT TECH
The rate at which pi will be listed is practically unknown. But due to speculations surrounding it the predicted rate is tends to be from 30$ — 50$.
So if you are interested in selling your pi network coins at a high rate tho. Or you can't wait till the mainnet launch in 2026. You can easily trade your pi coins with a merchant.
A merchant is someone who buys pi coins from miners and resell them to Investors looking forward to hold massive quantities till mainnet launch.
I will leave the telegram contact of my personal pi vendor to trade with.
@Pi_vendor_247
how can i use my minded pi coins I need some funds.DOT TECH
If you are interested in selling your pi coins, i have a verified pi merchant, who buys pi coins and resell them to exchanges looking forward to hold till mainnet launch.
Because the core team has announced that pi network will not be doing any pre-sale. The only way exchanges like huobi, bitmart and hotbit can get pi is by buying from miners.
Now a merchant stands in between these exchanges and the miners. As a link to make transactions smooth. Because right now in the enclosed mainnet you can't sell pi coins your self. You need the help of a merchant,
i will leave the telegram contact of my personal pi merchant below. 👇 I and my friends has traded more than 3000pi coins with him successfully.
@Pi_vendor_247
2. 2
Capital budgeting is concerned with cash flow,
not accounting profit.
To evaluate a capital investment, we must know:
Incremental cash outflows of the investment
(marginal cost of investment), and
Incremental cash inflows of the investment
(marginal benefit of investment).
The timing and magnitude of cash flows and
accounting profits can differ dramatically.
Cash Flow Versus Accounting Profit
3. 3
Financing costs are captured in the process of
discounting future cash flows.
Both interest expense from debt financing and
dividend payments to equity investors should
be excluded.
Financing costs should be excluded when evaluating
a project’s cash flows.
Cash Flows: Financing Costs and Taxes
Only after-tax cash flows are relevant as only
such cash flows can be distributed to investors.
4. 4
Cash Flows: Noncash Expenses
• Noncash expenses include depreciation, amortization,
and depletion.
• Accountants charge depreciation to spread a fixed
asset’s costs over time to match its benefits.
• Capital budgeting analysis focuses on cash inflows and
outflows when they occur.
• Non-cash expenses affect cash flow through their impact
on taxes:
– Compute after-tax net income and add depreciation back, or
– Ignore depreciation expense but add back its tax savings.
5. 5
Assume a firm purchases a fixed asset today for
$30,000.
Plans to depreciate over 3 years using straight-line
method.
Firm pays taxes at 40% marginal rate.
Cash Flows: Noncash Expenses
Firm will produce
10,000 units/year
Costs $1/unit
Sells for $3/unit
6. 6
Cash Flows: Noncash Expenses
$6,000
Net income after
tax
$16,000
Cash flow
= NI + deprec
(4,000)
Taxes (40%)
$10,000
Pre-tax income
(10,000)
Depreciation
$20,000
Gross profits
(10,000)
Cost of goods
$30,000
Sales
Adding non-cash expenses back to
after-tax earnings
Method 1
$4,000
Depreciation tax
savings
$16,000
Cash Flow
$12,000
Aft-tax income
(8,000)
Taxes (40%)
$20,000
Pre-tax income
(10,000)
Cost of goods
$30,000
Sales
Find after-tax profits, add back
non-cash deduction tax savings
Method 2
7. 7
• Accelerated depreciation methods, such as the modified
accelerated cost recovery system (MACRS), increase the
present value of an investment’s tax benefits.
• Relative to MACRS, straight-line depreciation results in
higher reported earnings early in an investment’s life.
Because depreciation only affects cash flow through
taxes, we consider only the depreciation method
that a firm uses for tax purposes when determining
project cash flows.
Many countries allow one depreciation method for
tax purposes and another for reporting purposes.
Depreciation
8. 8
Table 9.1 U.S. Tax Depreciation Allowed for
Various MACRS Asset Classes.
9. 9
• Initial cash flows:
• Cash outflow to acquire/install fixed assets
• Cash inflow from selling old equipment
• Cash inflow (outflow) if selling old equipment below
(above) tax basis generates tax savings (liability)
An example....
Tax rate = 40%
New equipment costs $10 million,
$0.5 million to install
Old equipment fully depreciated,
sold for $1 million
Initial investment: Outflow of $10.5 million, and
after-tax inflow of $0.60 million
from selling the old equipment
Fixed Asset Expenditures
10. 10
• Many capital investments require additions to working
capital.
• Net working capital (NWC) = current assets
– current liabilities
• Increase in NWC is a cash outflow; decrease in NWC is a
cash inflow.
• An example…
• Operate booth from November 1 to January 31
• Order $15,000 calendars on credit, delivery by Nov 1
• Must pay suppliers $5,000/month, beginning Dec 1
• Expect to sell 30% of inventory (for cash) in Nov; 60%
in Dec; 10% in Jan
• Always want to have $500 cash on hand
Working Capital Expenditures
11. 11
($5,000)
($5,000)
($5,000)
$0
Payments
($500)
Net cash flow
$1,500
[10%]
$9,000
[60%]
$4,500
[30%]
$0
Reduction in
inventory
Jan 1 to
Feb 1
Dec 1 to
Jan 1
Nov 1 to
Dec 1
Oct 1 to
Nov 1
Payments and
inventory
($500) +$4,000 ($3,000)
(4,000)
+500
+500
NA
Monthly in WC
(3,000)
1,000
500
0
Net WC
5,000
10,000
15,000
0
Accts payable
0
1,500
10,500
15,000
0
Inventory
$0
$500
$500
$500
$0
Cash
Feb 1
Jan 1
Dec 1
Nov 1
Oct 1
0
0
+3,000
Working Capital for Calendar Sales Booth
12. 12
When evaluating an investment with indefinite life-
span, the project’s terminal value is calculated:
Construct cash-flow
forecasts for 5 to 10
years
Forecasts more than 5 to
10 years have high
margin of error; use
terminal value instead.
• The terminal value is intended to reflect the value
of a project at a given future point in time.
• The terminal value is usually large relative to all
the other cash flows of the project.
Terminal Value
13. 13
Different ways to calculate terminal values:
• Use final year cash flow projections and assume that
all future cash flow grow at a constant rate;
• Multiply final cash flow estimate by a market multiple, or
• Use investment’s book value or liquidation value.
$3.25 Billion
$2.5 Billion
$1.75 Billion
$1.0 Billion
$0.5 Billion
Year 5
Year 4
Year 3
Year 2
Year 1
JDS Uniphase cash flow projections for acquisition
of SDL Inc.
Terminal Value
14. 14
$68.2
0.05
0.10
$3.41
PV
or
,
g
r
CF
PV 5
1
t
t
• Assume that cash flow continues to grow at 5% per year
(g = 5%, r = 10%, cash flow for year 6 is $3.41 billion):
67
.
48
$
1
.
1
2
.
68
$
1
.
1
25
.
3
$
1
.
1
5
.
2
$
1
.
1
75
.
1
$
1
.
1
1
$
1
.
1
5
.
0
$
5
5
4
3
2
1
• Terminal value is $68.2 billion; value of entire project is:
$42.4 billion of total $48.7 billion is from terminal value!
• Using price-to-cash-flow ratio of 20 for companies in the
same industry as SDL to compute terminal value:
• Terminal Value = $3.25 x 20 = $65 billion
• Caveat: market multiples fluctuate over time
Terminal Value of SDL Acquisition
15. 15
Incremental cash flows versus sunk costs:
Capital budgeting analysis should include only
incremental costs.
• An example…
• Norman Paul’s current salary is $60,000 per year and he
expects it to increase at 5% each year.
• Norm pays taxes at flat rate of 35%.
• Sunk costs: $1,000 for GMAT course and $2,000 for
visiting various programs
• Room and board expenses are not incremental to the
decision to go back to school
Incremental Cash Flow
16. 16
• At end of two years assume that Norm receives a salary
offer of $90,000, which increases at 8% per year
• Expected tuition, fees and textbook expenses for each of
the next two years while studying for MBA: $35,000
• If Norm had worked at his current job for two years, his
salary would have increased to $60,000 x 1.052 = $66,150
• Yr 2 net cash inflow: $90,000 - $66,150 = $23,850
• After-tax inflow: $23,850 x (1-0.35) = $15,503
• Yr 3 cash inflow: ($90,000x1.08 - $60,000x1.053)x(1-0.35)
= $18,032
• MBA has substantial positive NPV value for 30 yr analysis
period
What about Norm’s opportunity cost?
Incremental Cash Flow
17. 17
Cash flows from alternative investment
opportunities, forgone when one investment is
undertaken.
NPV of a project could fall substantially if
opportunity costs are recognized!
First year: $60,000
($39,000 after taxes)
Second Year: $63,000
($40,950 after taxes)
If Norm did not attend MBA program, he would have
earned:
Opportunity Costs
19. 19
Classicaltunes.com is considering adding jazz
recordings to its offerings.
• Firm uses 10% discount rate to calculate NPV and 40% tax
rate.
• The average selling price of Classicaltunes CD’s is $13.50;
price is expected remain constant indefinitely.
• Sales expected to begin when new fiscal year begins.
Initial
investment
transactions:
$50,000 for computer equipment
(MACRS 5-year)
$4,500 for inventory
($2,500 of which is purchased on credit)
$1,000 increase in cash balances
Initial Investment for Classicaltunes.com
21. 21
Annual Net Cash Flow Estimates for Classicaltunes.com
Projections for Jazz CD Proposal
22. 22
• Initial cash outlay of $50,000 for computer equipment
• Changes in working capital are result of following
transactions:
• Purchase of $4,500 in inventory and increase cash balance by
$1000
• an inflow of $2,500 from an increase in trade credit (Account
Receivable)
Increase in gross fixed assets - $50,000
Change in working capital - $3,000
Net cash flow - $53,000
Net Cash Flow:
Year Zero Cash Flow
Invest $3000 in working capital
23. 23
• In year 1, the project earns after-tax income of $561.
• No new investment in fixed asset.
• Add back the non-cash depreciation charge of $10,000.
• Net working capital for year one is:
• NWC = Current Assets – Current Liabilities
= $2,000 + 5,063 + 7,594 - $4,374 = $10,282
• NWC = NWCyear1 – NWCyear0 = $10,282 - $3,000 = $7,282
• Increase in NWC from year zero: $7,282
net cash flow from working capital: -$7,282
net cash flow: $561 + 10,000 – 7,282 = $3,279
Year One Cash Flow
24. 24
Depreciation $10,000
Invest in working capital (cash outflow) -$7,282
Net income $561
Net cash flow $3,279
Net Cash Flow:
Year One Cash Flow
25. 25
Depreciation $10,000
Increase in working capital - $10,623
Net income +$8,580
Net cash flow $7,957
Net Cash Flow:
• In year 2, net income equals $8,580.
• To that, add back the $10,000 non-cash depreciation deduction.
• Next, determine the change in working capital: The working capital
balance increased from $10,282 in year 1 to $20,905 in year 2, so
this represents a cash outflow of 10,623.
• As in year 1, there are no new investments in fixed assets to
consider.
Year Two Cash Flow
26. 26
• If we assume that cash flow continue to grow at 4% per
year at and beyond year 6 (g = 4%, r = 15%,):
327
,
325
$
04
.
0
15
.
0
786
,
35
$
or
,
786
,
35
$
410
,
34
$
04
.
1
1
6
1
1
PV
g
r
CF
PV
CF
g
CF
t
t
t
t
Terminal Value for Jazz CD Proposal
• Second approach: use the book value at end of year six:
• Plant and Equipment (P&E) at end of year six is $0.
• The firm liquidates total current assets (cash 3,500, accounts
receivable 28,125, inventory 42,188) and pays off current debts
(accounts payable 24,300):
• Terminal value = $73,813 - $24,300 = $49,513.
27. 27
• Using assumption that cash flow grow at a steady rate past
year 6:
475
,
153
$
15
.
1
327
,
325
$
410
,
34
$
15
.
1
211
,
35
$
15
.
1
833
,
24
$
15
.
1
785
,
15
$
15
.
1
957
,
7
$
15
.
1
279
,
3
$
000
,
53
$
6
6
4
3
2
1
NPV
233
,
34
$
15
.
1
513
,
49
$
410
,
34
$
15
.
1
211
,
35
$
15
.
1
833
,
24
$
15
.
1
785
,
15
$
15
.
1
957
,
7
$
15
.
1
279
,
3
$
000
,
53
$
6
5
4
3
2
1
NPV
NPV for Jazz CD Proposal
• Using book value assumption for terminal value:
• NPV is positive with both methods: investing in Jazz CD
project increases shareholders wealth.
28. 28
Can a firm accept all investment projects with
positive NPV?
Reasons why a company would not accept all
projects:
Limited availability of skilled personnel to be
involved with all the projects;
Financing may not be available for all projects.
Companies are reluctant to issue new shares to
finance new projects because of the negative signal
this action may convey to the market.
Capital Rationing
29. 29
Capital rationing: project combination that
maximizes shareholder wealth subject to funding
constraints
1. Rank the projects using Profitability Index (PI)
2. Select the investment with the highest PI
3. If funds are still available, select the second-
highest PI, and so on, until the capital is exhausted.
The steps above ensure that managers select the
combination of projects with the highest NPV.
Capital Rationing
30. 30
• A firm must purchase an electronic control device:
• First alternative: cheaper device, higher maintenance costs,
shorter period of utilization
• Second device: more expensive, smaller maintenance costs,
longer life span
• Expected cash outflows:
Device A’s cash outflow < Device B’s cash outflow
select A?
Equipment Replacement and Unequal Lives
• Using real discount rate of 7%:
31. 31
Table 9.4 Capital Rationing and the
Profitability Index (12% required return)
32. 32
Table 9.5 Operating and Replacement Cash
Flows for Two Devices (all values are outflows)
33. 33
• EAC converts lifetime costs to a level annuity; eliminates
the problem of unequal lives .
1. Compute NPV for operating devices A and B for their
respective lifetimes:
• NPV of device A = $15,936
• NPV of device B = $18,065
2. Compute annual expenditure (annuity cost) to make NPV
of annuity equal to NPV of operating device:
$6,072
X
07
.
1
07
.
1
07
.
1
936
,
15
$ 3
2
1
X
X
X
Device A
$5,333
Y
07
.
1
07
.
1
07
.
1
07
.
1
065
,
18
$ 4
3
2
1
Y
Y
Y
Y
Device B
• Since Device B’s annuity cost is lower, choose Device B.
Equivalent Annual Cost (EAC)
34. 34
• Excess capacity is not a free asset as traditionally regarded
by managers.
• Company has excess capacity in a distribution center warehouse.
• In two years, the firm will invest $2,000,000 to expand the
warehouse.
• The firm could lease the excess space for $125,000 per year
(at the beginning of each year) for the next two years.
• Expansion plans should begin immediately in this case to hold
inventory for new stores coming on line in a few months.
• Incremental cost: investing $2,000,000 at present vs. two years
from today
• Incremental cash inflow: $125,000 (at the beginning of the year)
Excess Capacity
35. 35
• NPV of leasing excess capacity (assume 10% discount rate):
471
,
108
$
1
.
1
000
,
000
,
2
10
.
1
000
,
125
000
,
000
,
2
000
,
125 2
NPV
0
1
.
1
000
,
000
,
2
10
.
1
000
,
000
,
2 2
X
X
NPV
Excess Capacity
- X = $181,818 (at the beginning of the year)
- Leasing the excess capacity for a price above $181,818 would
increase shareholders wealth.
• NPV negative: reject leasing excess capacity at $125,000
per year.
• The firm could compute the value of the lease that would
allow break even.
36. 36
The Human Face of Capital Budgeting
• Managers must be aware of optimistic bias in the
assumptions made by project supporters.
• Companies should have control measures in place to
remove bias:
– Investment analysis should be done by a group independent of
individual or group proposing the project.
– Project analysts must have a sense of what is reasonable when
forecasting a project’s profit margin and its growth potential.
• Storytelling: The best analysts not only provide numbers
to highlight a good investment, but also can explain why
the investment makes sense.
37. 37
• Certain types of cash flows are common to many
investments
• Opportunity costs should be included in cash
flow projections
• Consider human factors in capital budgeting
Cash Flow and Capital Budgeting