Cb-1.pptx

Capital Budgeting
Decisions
Capital Budgeting
Decisions
Capital budgeting is used to describe how
managers plan significant investments in
projects that have long-term implications
(realize future net cash inflows)
Plant expansion
Equipment selection
Lease or buy
Equipment
replacement
Cost reduction
Typical Capital Budgeting
Decisions
Capital budgeting tends to fall into two
broad categories.
1.Screening decisions. Does a proposed project
meet some preset standard of acceptance?
2.Preference decisions. Selecting from among
several competing courses of action.
Types of Capital Budgeting
Decisions
Payback Method
Net Present Value
Internal Rate of Return
◦ These methods focus on analyzing the cash
flows
associated with capital investment projects.
The simple rate of return method focuses
on
incremental net operating income.
Cash Flows versus
Operating Income
Repairs and maintenance
Initial investment
Incremental operating costs
Working capital (difference between current
assets– cash, account receivable, inventory-
and current liabilities)
Typical Cash
Outflows
Salvage value
Reduction of costs
Incremental revenues (from a cash flow
standpoint)
Release of working capital
Typical Cash
Inflows
A dollar today is worth more than a dollar a year
from now.
Therefore, projects that promise earlier
returns are preferable to those that promise
later returns.
The capital budgeting techniques that best
recognize the time value of money are those
that involve discounted cash flows ->
translating the value of future cash flows to
their present value.
Time Value of
Money
Learning Objective
1
Determine the
payback period for
an investment.
The payback method focuses on the payback
period, which is the length of time that it takes
for a project to recoup its initial cost out of the
cash receipts (inflows) that it generates.
This period is sometimes referred to as “the time
that it takes for an investment to pay for itself”
The Payback
Method
The payback method analyzes cash flows; however,
it
does not consider the time value of money.
When the annual net cash inflow is the same each
year, this formula can be used to compute the
payback period:
The Payback Method – Key
Concepts
P
aybackperiod
Investmentrequired
Annualnetcashinflow
Management at the Daily Grind wants to
install an espresso bar in its restaurant that
1.Costs $140,000 and has a 10-year life.
2.Will generate annual net cash inflows of $35,000.
Management requires a payback period of 5
years or less on all investments.
What is the payback period for the espresso
bar?
The Payback Method – An
Example
The Payback
Method
According to the company’s criterion,
management would invest in the espresso
bar because its payback period is less
than 5 years.
$35,000
Payback period  4.0years
Payback period 
$140,000
Annualnet cashinflow
Investment required
Payback period
Consider the following two
investments:
Concept
Check 1
Which project has the shortest payback
period?
A. Project X
B. Project Y
C. Cannot be determined
Project X Project Y
Initial investment $100,000 $100,000
Year 1 cash inflow $60,000 $60,000
Year 2 cash inflow $40,000 $35,000
Year 3 cash inflow $0 $25,000
Concept Check 1a (1
of 2)
Consider the following two
investments:
Which project has the shortest payback
period?
A. Project X
B. Project Y
C. Cannot be determined
Project X Project Y
Initial investment $100,000 $100,000
Year 1 cash inflow $60,000 $60,000
Year 2 cash inflow $40,000 $35,000
Year 3 cash inflow $0 $25,000
Project X has a payback period of 2 years.
Project Y has a payback period of slightly more
than 2 years.
Which project do you think is better?
Concept Check 1a (2
of 2)
Ignores the time value of money (it treats a
dollar received today as being of equal value
to a dollar received at any point in the future)
Ignores cash flows after the payback period
Shorter payback period does not always mean a
more desirable investment
Evaluation of the Payback
Method: Criticisms
Serves as screening tool
Identifies investments that recoup cash
investments quickly
Identifies products that recoup initial
investment quickly
Evaluation of the Payback
Method: Strengths
Payback and Uneven Cash
(in)Flows – Part 1
When the cash flows associated with an
investment project change from year to year,
the payback formula introduced earlier cannot
be used.
Instead, the unrecovered investment must be
tracked year by year.
Year 1 Year 2 Year 3 Year 4 Year 5
$1,000 $0 $2,000 $1,000 $500
Payback and Uneven Cash
(in)Flows – Part 2
For example, if a project requires an initial
investment of $4,000 and provides uneven net
cash inflows in Years 1–5 as shown, the
investment would be fully recovered in Year 4.
Year 1 Year 2 Year 3 Year 4 Year 5
$1,000 $0 $2,000 $1,000 $500
Learning Objective
2
Evaluate the
acceptability of an
investment project
using the net
present value
method.
The net present value method compares the
present value of a project’s cash inflows with
the present value of its cash outflows.
The difference between these two streams of
cash flows is called the net present value.
The Net Present Value Method
–
Part 1
Two Simplifying Assumptions
All cash flows other than the initial investment
occur at the end of periods.
All cash flows generated by an investment project
are immediately reinvested at a rate of return
equal to the discount rate. If this condition is not
met, the NPV computations will not be accurate.
The Net Present Value Method
–
Part 2
Lester Company has been offered a five-year
contract to provide component parts for a large
manufacturer.
Cost and revenue information:
The Net Present Value Method
–
Part 3
Cost of special equipment $ 160,000
Working capital required 100,000
Relining equipment in 3 years 30,000
Salvage value of equipment in 5 years 5,000
Annual cash revenue and costs:
Sales revenue from parts 750,000
Cost of parts sold 400,000
Salaries, shipping, etc. 270,000
At the end of five years, the working capital
will be released and may be used elsewhere
by Lester.
Lester Company uses a discount rate of 11%.
Should the contract be accepted?
The Net Present Value Method
–
Part 4
Annual net cash inflow from
operations
The Net Present Value Method
–
Part 5
Sales revenue $ 750,000
Costs of parts sold (400,000)
Salaries, shipping, etc. (270,000)
Annual net cash Inflows $ 80,000
The Net Present Value
Method –
Part 6
Years Cash
Flows
11%
Factor
Prese
nt
Value
Investment
in
equipment
NOW $ (160,000) 1.000 $ (160,000)
Working capital needed NOW (100,000) 1.000 (100,000)
Net present value
Years Cash
Flows
11%
Factor
Prese
nt
Value
Investment
in
equipment
NOW $ (160,000) 1.000 $ (160,000)
Working capital
needed
NOW (100,000) 1.000 (100,000)
Annual net cash
Inflows
1–5 80,000 3.696 295,680
The Net Present Value
Method –
Part 7 (1 of 2)
Present value of an annuity of $1 factor for 5 years at
11%: 3.696.
Alternatively, the individual annual net cash
inflows could be discounted using the related
five separate "present value of a single
payment of $1" factors.
That method would produce the same present
value of $295,680.
The Net Present Value Method
–
Part 7 (2 of 2)
Years Cash
Flows
11%
Factor
Present
Value
Investment in equipment NOW $ (160,000) 1.000 $ (160,000)
Working capital needed NOW (100,000) 1.000 (100,000)
Annual net cash Inflows 1–5 80,000 3.696 295,680
Relining of equipment 3 (30,000) 0.731 (21,930)
The Net Present Value
Method –
Part 8
Present value of $1 factor for 3 years at 11%:
0.731.
Years Cash Flows 11% Factor Present
Value
Investment in equipment NOW $ (160,000) 1.000 $ (160,000)
Working capital needed NOW (100,000) 1.000 (100,000)
Annual net cash Inflows 1–5 80,000 3.696 295,680
Relining of equipment 3 (30,000) 0.731 (21,930)
Salvage value of equipment 5 5,000 0.593 2,965
Working capital released 5 100,000 0.593 59,300
The Net Present Value
Method –
Part 9
Present value of $1 factor for 5 years at 11%
(0.593).
Total present value of the release of the working
capital and the salvage value of the equipment is
Years Cash Flows 11% Factor Present Value
Investment in equipment NOW $ (160,000) 1.000 $ (160,000)
Working capital needed NOW (100,000) 1.000 (100,000)
Annual net cash Inflows 1–5 80,000 3.696 295,680
Relining of equipment 3 (30,000) 0.731 (21,930)
Salvage value of equipment 5 5,000 0.593 2,965
Working capital released 5 100,000 0.593 59,300
Net present value $ 76,015
The Net Present Value
Method –
Part 10
Accept the contract because the project has a
positive net present value.
Denny Associates has been offered a four-year
contract to supply the computing requirements for a
local bank.
Cash flow information:
Concept Check 2 (1
of 2)
The working capital would be released at the end
of the contract.
Denny Associates requires a 14% return.
Cost of computer equipment $ 250,000
Working capital required 20,000
Upgrading of equipment in 2 years 90,000
Salvage value of equipment in 4 years 10,000
Annual net cash inflow 120,000
What is the net present value of the contract with
the local bank?
A. $150,000
B. $28,230
C. $92,340
D. $132,916
Concept Check 2 (2
of 2)
What is the net present value of the contract with
the local bank?
A. $150,000
B. $28,230
C. $92,340
D. $132,916
Answer: B
Concept Check 2a (1
of 2)
Years Cash Flows 14% Factor Present
Value
Investment in equipment NOW $ (250,000) 1.000 $ (250,000)
Working capital needed NOW (20,000) 1.000 (20,000)
Annual net cash inflows 1–4 120,000 2.914 349,680
Upgrading of equipment 2 (90,000) 0.769 (69,210)
Salvage value of
equipment
4 10,000 0.592 5,920
Working capital released 4 20,000 0.592 11,840
Net present value $ 28,230
Concept Check 2a (2
of 2)
Let’s look at another way to calculate the NPV.
Lester Company has been offered a five-year
contract to provide component parts for a large
manufacturer.
Cost and revenue information:
The Net Present Value Method
–
Part 11
Cost of special equipment $ 160,000
Working capital required 100,000
Relining equipment in 3 years 30,000
Salvage value of equipment in 5 years 5,000
Annual cash revenue and costs:
Sales revenue from parts 750,000
Cost of parts sold 400,000
Salaries, shipping, etc. 270,000
At the end of five years, the working capital
will be released and may be used elsewhere
by Lester.
Lester Company uses a discount rate of 11%.
Should the contract be accepted?
The Net Present Value Method
–
Part 12
Years Cash Flows 11% Factor Present
Value
Investment in
equipment
NOW $ (160,000) 1.000 $ (160,000)
Working capital needed NOW (100,000) 1.000 (100,000)
The Net Present Value
Method –
Part 13
Since the investments in equipment ($160,000) and
working capital ($100,000) occur immediately, the
discounting factor used is 1.000.
Years Cash Flows 11% Factor Present Value
Investment in equipment NOW $ (160,000) 1.000 $ (160,000)
Working capital needed NOW (100,000) 1.000 (100,000)
Annual net cash inflows 1 80,000 0.901 72,080
Annual net cash inflows 2 80,000 0.812 64,960
Annual net cash inflows 3 50,000 0.731 36,550
Annual net cash inflows 4 80,000 0.659 52,720
Annual net cash inflows 5 80,000 0.593 47,440
Salvage value of equipment 5 5,000 0.593 2,965
Working capital released 5 100,000 0.593 59,300
The Net Present Value
Method –
Part 14
The total cash flows for years 1–5 are discounted to their present
values using the discount factors.
For example, the total cash flows in Year 1 of
$80,000 are multiplied by the discount factor of
0.901 to derive this future cash flow’s present value
of $72,080.
The Net Present Value
Method –
Part 15
As another example, the total cash flows in Year 3 of
$50,000 are multiplied by the discount factor of 0.731
to derive this future cash flow’s present value of
$36,550.
The Net Present Value
Method –
Part 16
Years Cash Flows
11%
Factor
Present
Value
Investment in equipment NOW $ (160,000) 1.000 $ (160,000)
Working capital needed NOW (100,000) 1.000 (100,000)
Annual net cash inflows 1 80,000 0.901 72,080
Annual net cash inflows 2 80,000 0.812 64,960
Annual net cash inflows 3 50,000 0.731 36,550
Annual net cash inflows 4 80,000 0.659 52,720
Annual net cash inflows 5 80,000 0.593 47,440
Salvage value of equipment 5 5,000 0.593 2,965
Working capital released 5 100,000 0.593 59,300
Net Present Value $ 76,015
The Net Present Value
Method –
Part 17
The net present value of the investment opportunity is $76,015.
Notice this amount equals the net present value from the earlier
approach.
Once you have computed a net present
value, you should interpret the results as
follows:
1. A positive net present value indicates that the
project’s
return exceeds the discount rate.
2. A negative net present value indicates that the
project’s
return is less than the discount rate.
The Net Present Value Method
–
Part 18
The Net Present Value
Method –
Part 19
If the Net Present Value
is…
Then the Project is…
Positive …
Acceptable because it promises a
return greater than the required rate
of return.
Zero …
Acceptable because it promises a
return equal to the required rate of
return.
Negative …
Not acceptable because it promises a
return
less than the required rate of return.
The company’s cost of capital is usually
regarded as the minimum required rate of
return.
The cost of capital is the average return the
company must pay to its long-term creditors and
stockholders.
Choosing a Discount
Rate
The net present value method automatically
provides for return of the original investment.
Recovery of the Original
Investment – Part 1
Recovery of the Original
Investment –
Part 2
Carver Hospital is considering buying an attachment
for its X-ray machine.
No investments are to be made unless they
have an annual return of at least 10%.
Will we be allowed to invest in the attachment?
Cost $ 3,169
Life 4 years
Salvage value $ -
Increase in annual cash inflows $ 1,000
Recovery of the Original
Investment –
Part 3
Notice that the net present value of the investment is
zero.
Year(s)
Amount of
Cash Flow
10%
Factor
Value of
Cash Flows
Initial
investment
(outflows)
NOW $ (3,169) 1.000 $ (3,169)
Annual cash inflows 1 $ 1,000 0.909 $ 909
Annual cash inflows 2 $ 1,000 0.826 $ 826
Annual cash inflows 3 $ 1,000 0.751 $ 751
Annual cash inflows 4 $ 1,000 0.683 $ 683
Net present value -
This implies that the cash inflows are sufficient
to recover the $3,169 initial investment and to
provide exactly a 10% return on the
investment.
Recovery of the Original
Investment –
Part 4
1 sur 50

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Cb-1.pptx

  • 2. Capital Budgeting Decisions Capital budgeting is used to describe how managers plan significant investments in projects that have long-term implications (realize future net cash inflows)
  • 3. Plant expansion Equipment selection Lease or buy Equipment replacement Cost reduction Typical Capital Budgeting Decisions
  • 4. Capital budgeting tends to fall into two broad categories. 1.Screening decisions. Does a proposed project meet some preset standard of acceptance? 2.Preference decisions. Selecting from among several competing courses of action. Types of Capital Budgeting Decisions
  • 5. Payback Method Net Present Value Internal Rate of Return ◦ These methods focus on analyzing the cash flows associated with capital investment projects. The simple rate of return method focuses on incremental net operating income. Cash Flows versus Operating Income
  • 6. Repairs and maintenance Initial investment Incremental operating costs Working capital (difference between current assets– cash, account receivable, inventory- and current liabilities) Typical Cash Outflows
  • 7. Salvage value Reduction of costs Incremental revenues (from a cash flow standpoint) Release of working capital Typical Cash Inflows
  • 8. A dollar today is worth more than a dollar a year from now. Therefore, projects that promise earlier returns are preferable to those that promise later returns. The capital budgeting techniques that best recognize the time value of money are those that involve discounted cash flows -> translating the value of future cash flows to their present value. Time Value of Money
  • 9. Learning Objective 1 Determine the payback period for an investment.
  • 10. The payback method focuses on the payback period, which is the length of time that it takes for a project to recoup its initial cost out of the cash receipts (inflows) that it generates. This period is sometimes referred to as “the time that it takes for an investment to pay for itself” The Payback Method
  • 11. The payback method analyzes cash flows; however, it does not consider the time value of money. When the annual net cash inflow is the same each year, this formula can be used to compute the payback period: The Payback Method – Key Concepts P aybackperiod Investmentrequired Annualnetcashinflow
  • 12. Management at the Daily Grind wants to install an espresso bar in its restaurant that 1.Costs $140,000 and has a 10-year life. 2.Will generate annual net cash inflows of $35,000. Management requires a payback period of 5 years or less on all investments. What is the payback period for the espresso bar? The Payback Method – An Example
  • 13. The Payback Method According to the company’s criterion, management would invest in the espresso bar because its payback period is less than 5 years. $35,000 Payback period  4.0years Payback period  $140,000 Annualnet cashinflow Investment required Payback period
  • 14. Consider the following two investments: Concept Check 1 Which project has the shortest payback period? A. Project X B. Project Y C. Cannot be determined Project X Project Y Initial investment $100,000 $100,000 Year 1 cash inflow $60,000 $60,000 Year 2 cash inflow $40,000 $35,000 Year 3 cash inflow $0 $25,000
  • 15. Concept Check 1a (1 of 2) Consider the following two investments: Which project has the shortest payback period? A. Project X B. Project Y C. Cannot be determined Project X Project Y Initial investment $100,000 $100,000 Year 1 cash inflow $60,000 $60,000 Year 2 cash inflow $40,000 $35,000 Year 3 cash inflow $0 $25,000
  • 16. Project X has a payback period of 2 years. Project Y has a payback period of slightly more than 2 years. Which project do you think is better? Concept Check 1a (2 of 2)
  • 17. Ignores the time value of money (it treats a dollar received today as being of equal value to a dollar received at any point in the future) Ignores cash flows after the payback period Shorter payback period does not always mean a more desirable investment Evaluation of the Payback Method: Criticisms
  • 18. Serves as screening tool Identifies investments that recoup cash investments quickly Identifies products that recoup initial investment quickly Evaluation of the Payback Method: Strengths
  • 19. Payback and Uneven Cash (in)Flows – Part 1 When the cash flows associated with an investment project change from year to year, the payback formula introduced earlier cannot be used. Instead, the unrecovered investment must be tracked year by year. Year 1 Year 2 Year 3 Year 4 Year 5 $1,000 $0 $2,000 $1,000 $500
  • 20. Payback and Uneven Cash (in)Flows – Part 2 For example, if a project requires an initial investment of $4,000 and provides uneven net cash inflows in Years 1–5 as shown, the investment would be fully recovered in Year 4. Year 1 Year 2 Year 3 Year 4 Year 5 $1,000 $0 $2,000 $1,000 $500
  • 21. Learning Objective 2 Evaluate the acceptability of an investment project using the net present value method.
  • 22. The net present value method compares the present value of a project’s cash inflows with the present value of its cash outflows. The difference between these two streams of cash flows is called the net present value. The Net Present Value Method – Part 1
  • 23. Two Simplifying Assumptions All cash flows other than the initial investment occur at the end of periods. All cash flows generated by an investment project are immediately reinvested at a rate of return equal to the discount rate. If this condition is not met, the NPV computations will not be accurate. The Net Present Value Method – Part 2
  • 24. Lester Company has been offered a five-year contract to provide component parts for a large manufacturer. Cost and revenue information: The Net Present Value Method – Part 3 Cost of special equipment $ 160,000 Working capital required 100,000 Relining equipment in 3 years 30,000 Salvage value of equipment in 5 years 5,000 Annual cash revenue and costs: Sales revenue from parts 750,000 Cost of parts sold 400,000 Salaries, shipping, etc. 270,000
  • 25. At the end of five years, the working capital will be released and may be used elsewhere by Lester. Lester Company uses a discount rate of 11%. Should the contract be accepted? The Net Present Value Method – Part 4
  • 26. Annual net cash inflow from operations The Net Present Value Method – Part 5 Sales revenue $ 750,000 Costs of parts sold (400,000) Salaries, shipping, etc. (270,000) Annual net cash Inflows $ 80,000
  • 27. The Net Present Value Method – Part 6 Years Cash Flows 11% Factor Prese nt Value Investment in equipment NOW $ (160,000) 1.000 $ (160,000) Working capital needed NOW (100,000) 1.000 (100,000) Net present value
  • 28. Years Cash Flows 11% Factor Prese nt Value Investment in equipment NOW $ (160,000) 1.000 $ (160,000) Working capital needed NOW (100,000) 1.000 (100,000) Annual net cash Inflows 1–5 80,000 3.696 295,680 The Net Present Value Method – Part 7 (1 of 2) Present value of an annuity of $1 factor for 5 years at 11%: 3.696.
  • 29. Alternatively, the individual annual net cash inflows could be discounted using the related five separate "present value of a single payment of $1" factors. That method would produce the same present value of $295,680. The Net Present Value Method – Part 7 (2 of 2)
  • 30. Years Cash Flows 11% Factor Present Value Investment in equipment NOW $ (160,000) 1.000 $ (160,000) Working capital needed NOW (100,000) 1.000 (100,000) Annual net cash Inflows 1–5 80,000 3.696 295,680 Relining of equipment 3 (30,000) 0.731 (21,930) The Net Present Value Method – Part 8 Present value of $1 factor for 3 years at 11%: 0.731.
  • 31. Years Cash Flows 11% Factor Present Value Investment in equipment NOW $ (160,000) 1.000 $ (160,000) Working capital needed NOW (100,000) 1.000 (100,000) Annual net cash Inflows 1–5 80,000 3.696 295,680 Relining of equipment 3 (30,000) 0.731 (21,930) Salvage value of equipment 5 5,000 0.593 2,965 Working capital released 5 100,000 0.593 59,300 The Net Present Value Method – Part 9 Present value of $1 factor for 5 years at 11% (0.593). Total present value of the release of the working capital and the salvage value of the equipment is
  • 32. Years Cash Flows 11% Factor Present Value Investment in equipment NOW $ (160,000) 1.000 $ (160,000) Working capital needed NOW (100,000) 1.000 (100,000) Annual net cash Inflows 1–5 80,000 3.696 295,680 Relining of equipment 3 (30,000) 0.731 (21,930) Salvage value of equipment 5 5,000 0.593 2,965 Working capital released 5 100,000 0.593 59,300 Net present value $ 76,015 The Net Present Value Method – Part 10 Accept the contract because the project has a positive net present value.
  • 33. Denny Associates has been offered a four-year contract to supply the computing requirements for a local bank. Cash flow information: Concept Check 2 (1 of 2) The working capital would be released at the end of the contract. Denny Associates requires a 14% return. Cost of computer equipment $ 250,000 Working capital required 20,000 Upgrading of equipment in 2 years 90,000 Salvage value of equipment in 4 years 10,000 Annual net cash inflow 120,000
  • 34. What is the net present value of the contract with the local bank? A. $150,000 B. $28,230 C. $92,340 D. $132,916 Concept Check 2 (2 of 2)
  • 35. What is the net present value of the contract with the local bank? A. $150,000 B. $28,230 C. $92,340 D. $132,916 Answer: B Concept Check 2a (1 of 2)
  • 36. Years Cash Flows 14% Factor Present Value Investment in equipment NOW $ (250,000) 1.000 $ (250,000) Working capital needed NOW (20,000) 1.000 (20,000) Annual net cash inflows 1–4 120,000 2.914 349,680 Upgrading of equipment 2 (90,000) 0.769 (69,210) Salvage value of equipment 4 10,000 0.592 5,920 Working capital released 4 20,000 0.592 11,840 Net present value $ 28,230 Concept Check 2a (2 of 2)
  • 37. Let’s look at another way to calculate the NPV. Lester Company has been offered a five-year contract to provide component parts for a large manufacturer. Cost and revenue information: The Net Present Value Method – Part 11 Cost of special equipment $ 160,000 Working capital required 100,000 Relining equipment in 3 years 30,000 Salvage value of equipment in 5 years 5,000 Annual cash revenue and costs: Sales revenue from parts 750,000 Cost of parts sold 400,000 Salaries, shipping, etc. 270,000
  • 38. At the end of five years, the working capital will be released and may be used elsewhere by Lester. Lester Company uses a discount rate of 11%. Should the contract be accepted? The Net Present Value Method – Part 12
  • 39. Years Cash Flows 11% Factor Present Value Investment in equipment NOW $ (160,000) 1.000 $ (160,000) Working capital needed NOW (100,000) 1.000 (100,000) The Net Present Value Method – Part 13 Since the investments in equipment ($160,000) and working capital ($100,000) occur immediately, the discounting factor used is 1.000.
  • 40. Years Cash Flows 11% Factor Present Value Investment in equipment NOW $ (160,000) 1.000 $ (160,000) Working capital needed NOW (100,000) 1.000 (100,000) Annual net cash inflows 1 80,000 0.901 72,080 Annual net cash inflows 2 80,000 0.812 64,960 Annual net cash inflows 3 50,000 0.731 36,550 Annual net cash inflows 4 80,000 0.659 52,720 Annual net cash inflows 5 80,000 0.593 47,440 Salvage value of equipment 5 5,000 0.593 2,965 Working capital released 5 100,000 0.593 59,300 The Net Present Value Method – Part 14 The total cash flows for years 1–5 are discounted to their present values using the discount factors.
  • 41. For example, the total cash flows in Year 1 of $80,000 are multiplied by the discount factor of 0.901 to derive this future cash flow’s present value of $72,080. The Net Present Value Method – Part 15
  • 42. As another example, the total cash flows in Year 3 of $50,000 are multiplied by the discount factor of 0.731 to derive this future cash flow’s present value of $36,550. The Net Present Value Method – Part 16
  • 43. Years Cash Flows 11% Factor Present Value Investment in equipment NOW $ (160,000) 1.000 $ (160,000) Working capital needed NOW (100,000) 1.000 (100,000) Annual net cash inflows 1 80,000 0.901 72,080 Annual net cash inflows 2 80,000 0.812 64,960 Annual net cash inflows 3 50,000 0.731 36,550 Annual net cash inflows 4 80,000 0.659 52,720 Annual net cash inflows 5 80,000 0.593 47,440 Salvage value of equipment 5 5,000 0.593 2,965 Working capital released 5 100,000 0.593 59,300 Net Present Value $ 76,015 The Net Present Value Method – Part 17 The net present value of the investment opportunity is $76,015. Notice this amount equals the net present value from the earlier approach.
  • 44. Once you have computed a net present value, you should interpret the results as follows: 1. A positive net present value indicates that the project’s return exceeds the discount rate. 2. A negative net present value indicates that the project’s return is less than the discount rate. The Net Present Value Method – Part 18
  • 45. The Net Present Value Method – Part 19 If the Net Present Value is… Then the Project is… Positive … Acceptable because it promises a return greater than the required rate of return. Zero … Acceptable because it promises a return equal to the required rate of return. Negative … Not acceptable because it promises a return less than the required rate of return.
  • 46. The company’s cost of capital is usually regarded as the minimum required rate of return. The cost of capital is the average return the company must pay to its long-term creditors and stockholders. Choosing a Discount Rate
  • 47. The net present value method automatically provides for return of the original investment. Recovery of the Original Investment – Part 1
  • 48. Recovery of the Original Investment – Part 2 Carver Hospital is considering buying an attachment for its X-ray machine. No investments are to be made unless they have an annual return of at least 10%. Will we be allowed to invest in the attachment? Cost $ 3,169 Life 4 years Salvage value $ - Increase in annual cash inflows $ 1,000
  • 49. Recovery of the Original Investment – Part 3 Notice that the net present value of the investment is zero. Year(s) Amount of Cash Flow 10% Factor Value of Cash Flows Initial investment (outflows) NOW $ (3,169) 1.000 $ (3,169) Annual cash inflows 1 $ 1,000 0.909 $ 909 Annual cash inflows 2 $ 1,000 0.826 $ 826 Annual cash inflows 3 $ 1,000 0.751 $ 751 Annual cash inflows 4 $ 1,000 0.683 $ 683 Net present value -
  • 50. This implies that the cash inflows are sufficient to recover the $3,169 initial investment and to provide exactly a 10% return on the investment. Recovery of the Original Investment – Part 4