Capital Budgeting and Investment Analysis Guest Lecturer: Juan (Jillian) Yang.
Chapter 24 Capital Budgeting and Investment Analysis.
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Transcript of Chapter 24 Capital Budgeting and Investment Analysis.
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Chapter 24
Capital Budgeting and Investment Analysis
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Capital Budgeting & Investment Decisions
• These are decisions about when and how much to spend on capital assets
• Capital budgeting is the process of making such decisions Identify alternatives Evaluate and rank choices Make the decision
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Measures Used in Capital Budgeting
• Net cash inflows include the increases in cash receipts less the cash payments made on a project. Can be a series of equal or unequal
amounts.• Cost savings are measured as the
reduction of costs under each alternative.
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Other Considerations• Income taxes will affect cash flows and
must be considered. Depreciation expense does reduce income
and income taxes, but it does not decrease cash flows.
• Sale of the old assets will provide additional cash receipts up front.
• Sale of the new assets at the end of their useful life is an additional cash flow at the end of the project life.
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Payback Period
• Payback is a measure of how long it will take to recover the initial investment.
• When you have equal cash flows Payback = (Initial cost)/(annual net cash
inflow)• If Payback <= useful life of project,
then accept
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Cash Payback Method
Investment cost $200,000Expected useful life 8 yearsExpected annual net cash flows (equal) $40,000
Assumptions:
CashPayback Period
Total Investment
Annual NetCash Inflows
=
What is the cash payback period?
What is the cash payback period?
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Cash Payback Method
Investment cost $200,000Expected useful life 8 yearsExpected annual net cash flows (equal) $40,000
Assumptions:
=$200,000Cash
PaybackPeriod
=$40,000
5 years
CashPayback Period
Total Investment
Annual NetCash Inflows
=
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Payback with unequal cash flows
• When cash flows are not the same every year, you cannot apply the previous formula.
• Rather you must determine at what point the cumulative cash flows become positive. Where Cumulative CF = (initial investment) + CF(yr1) + CF(yr2) +
…
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Year 1 $ 60,000 $ 60,000Year 2 80,000140,000Year 3 105,000245,000Year 4 155,000400,000Year 5 100,000500,000Year 6 90,000590,000
Assumptions:
Net Cash CumulativeFlow Net Cash Flow
Cash Payback Method
If the proposed investment is $400,000, what is the payback period?
If the proposed investment is $400,000, what is the payback period?
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Year 1 $ 60,000 $ 60,000Year 2 80,000140,000Year 3 105,000245,000Year 4 155,000400,000Year 5 100,000500,000Year 6 90,000590,000
Assumptions:
Cash Payback Method
If the proposed investment is $450,000, what is the payback period?
If the proposed investment is $450,000, what is the payback period?
Net Cash CumulativeFlow Net Cash Flow
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Using Payback Period• Payback is the easiest of the methods to use
and it gives us a quick idea of whether or not to consider the investment option further.
• Weaknesses: It does not consider the timing of the cash flows
(relative amounts over the years) It ignores any cash flows received after the point
where cash is fully recovered.
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Accounting Rate of Return• ARR is another method of evaluating
alternatives. It is easy to determine, but it also ignores the time value of money.
• ARR = (average annual net income)/(avg. investment cost), where
• Average investment cost = (Initial cost + residual value)/2
• If ARR > cost of capital, then accept
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Average Rate of Return Method
Machine cost $500,000Expected useful life 4 yearsResidual value noneExpected total income$200,000
Assumptions:
Average Rate
of Return
Estimated Average
Annual IncomeAverage Investment
=
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Average Rate of Return Method
Machine cost $500,000Expected useful life 4 yearsResidual value noneExpected total income$200,000
Assumptions:
Average Rate
of Return
Estimated Average
Annual IncomeAverage Investment
=
=$200,000 / 4 yrs.Average
Rate of Return
=($500,000 + $0) /
2
20%
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Time Value of Money• Money received today has greater
value than money to be received in the future because of the effects of compound interest. PV(lump sum) = Future value*PV factor PV(annuity) = payment*PVA factor Where the PV factors are a function of the
interest rate and the time An annuity is a series of equal payments.
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Net Present Value Method• This method of evaluating capital
projects involves the Calculation of present values of all net
cash inflows less the Cost of the initial investment.
• If NPV >= 0, then the project is acceptable.
• This method is the best in evaluating alternatives.
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YearAnnual Net Cash Flows
Present Value of $1
Factor
Present Value of
Cash Flows1 4,100$ 0.8929 3,661$ 2 4,100 0.7972 3,269 3 4,100 0.7118 2,918 4 4,100 0.6355 2,606 5 4,100 0.5674 2,326 6 4,100 0.5066 2,077 7 4,100 0.4523 1,854 8 4,100 0.4039 1,656
Total 32,800$ 20,367$
Amount to be invested (16,000) Net present value of investment 4,367$
Exh. 24-7
Net Present Value Method
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YearAnnual Net Cash Flows
Present Value of $1
Factor
Present Value of
Cash Flows1 4,100$ 0.8929 3,661$ 2 4,100 0.7972 3,269 3 4,100 0.7118 2,918 4 4,100 0.6355 2,606 5 4,100 0.5674 2,326 6 4,100 0.5066 2,077 7 4,100 0.4523 1,854 8 4,100 0.4039 1,656
Total 32,800$ 20,367$
Amount to be invested (16,000) Net present value of investment 4,367$
Present value factorsfor 12 percent
Exh. 24-7
Net Present Value Method
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YearAnnual Net Cash Flows
Present Value of $1
Factor
Present Value of
Cash Flows1 4,100$ 0.8929 3,661$ 2 4,100 0.7972 3,269 3 4,100 0.7118 2,918 4 4,100 0.6355 2,606 5 4,100 0.5674 2,326 6 4,100 0.5066 2,077 7 4,100 0.4523 1,854 8 4,100 0.4039 1,656
Total 32,800$ 20,367$
Amount to be invested (16,000) Net present value of investment 4,367$
A positive net present value indicates that thisproject earns more than 12 percent on the investment.
Exh. 24-7
Net Present Value Method
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YearAnnual Net Cash Flows
PV of an Annuity Factor
Present Value of
Cash Flows1 4,100$ 4.9676 20,367$
Amount to be invested (16,000) Net present value of investment 4,367$
Assumptions: 8 years, 12% Interest Rate
Exh. 24-7Net Present Value Method
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Internal Rate of Return (IRR)
The interest rate that makes . . .
Presentvalue of
cash inflows
Presentvalue of
cash outflows=
The net present value equal zero.
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Projects with even annual cash flows
Project life = 3 yearsInitial cost = $12,000
Annual net cash inflows = $5,000
Determine the IRR for this project.
1. Compute present value factor.
2. Using present value of annuity table . . .
Exh. 24-9
Internal Rate of Return (IRR) Method
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1. Compute present value factor. $12,000 ÷ $5,000 per year = 2.4
2. Using present value of annuity table ...
Projects with even annual cash flows
Exh. 24-9
Project life = 3 yearsInitial cost = $12,000
Annual net cash inflows = $5,000
Determine the IRR for this project.
Internal Rate of Return (IRR) Method
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Periods 10% 12% 14%1 0.90909 0.89286 0.87719 2 1.73554 1.69005 1.64666 3 2.48685 2.40183 2.32163 4 3.16987 3.03735 2.91371 5 3.79079 3.60478 3.43308
Locate the rowwhose number
equals the periods in theproject’s life.
1. Determine the present value factor. $12,000 ÷ $5,000 per year = 2.4000
2. Using present value of annuity table . . .
Exh. 26-9
Internal Rate of Return (IRR) Method
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Periods 10% 12% 14%1 0.90909 0.89286 0.87719 2 1.73554 1.69005 1.64666 3 2.48685 2.40183 2.32163 4 3.16987 3.03735 2.91371 5 3.79079 3.60478 3.43308
In that row,locate the
interest factorclosest in
amount to thepresent value
factor.
1. Determine the present value factor. $12,000 ÷ $5,000 per year = 2.4000
2. Using present value of annuity table . . .
Exh. 26-9
Internal Rate of Return (IRR) Method
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Periods 10% 12% 14%1 0.90909 0.89286 0.87719 2 1.73554 1.69005 1.64666 3 2.48685 2.40183 2.32163 4 3.16987 3.03735 2.91371 5 3.79079 3.60478 3.43308
1. Determine the present value factor. $12,000 ÷ $5,000 per year = 2.4000
2. Using present value of annuity table . . .
IRR is theinterest rateof the columnin which the
present valuefactor is found.
IRR isapproximately
12%.
Exh. 26-9
4
Internal Rate of Return (IRR) Method
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Comparing Methods
Payback Accounting Net present Internal rateperiod rate of return value of return
Basis of Cash Accrual Cash flows Cash flowsmeasurement flows income Profitability Profitability
Measure Number Percent Dollar Percentexpressed as of years Amount
Easy to Easy to Considers time Considers timeUnderstand Understand value of money value of money
Strengths Allows Allows Accommodates Allowscomparison comparison different risk comparisons
across projects across projects levels over of dissimilara project's life projects
Doesn't Doesn't Difficult to Doesn't reflectconsider time consider time compare varying risk
value of money value of money dissimilar levels over theLimitations projects project's life
Doesn't Doesn't giveconsider cash annual rates
flows after over the lifepayback period of a project
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