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Chapter 8
TECHNIQUES OF
CAPITAL BUDGETING
Meaning of Capital Budgeting
• The firm’s decision to invest its current funds most efficiently
in the long term assets in anticipation of an expected flow of
benefits over a series of years
Importance of Capital Budgeting
• Growth
• More risky
• Huge investments
• Irreversibility
• Effect on other projects
• Difficult decision
Difficulties in Capital Budgeting
• Measurement problem
• Uncertainty
• Temporal spread
Classification of Projects
• New projects
• Expansion projects
• Diversification projects
• Replacement and Modernisation projects
• Research and Development (R&D) project
• Interior Decoration
• Recreation facilities
• Landscaped gardens
Kinds of Capital Budgeting decisions
• Mutually Exclusive Investments
• Capital Rationing decisions
• Contingent investments
Process of Capital Budgeting
1. Idea generation
2. Evaluation or Analysis
3. Selection
4. Financing
5. Execution or Implementation
6. Review
Techniques of Investment Evaluation
Project Evaluation Techniques
Traditional
Or
Non-discounted Cash Flow
Modern
Or
Discounted Cash Flow
Pay Back
Period
Accounting Rate
Of Return
Net Present
Value
Internal Rate
Of Return
Profitability
Index
Calculation of CFAT
Particular Amount (Rs.)
Sales Revenue
Less: Variable Cost
Contribution
Less: Fixed Cost
Earning Before Depreciation and Taxes (EBDT)
Less: Depreciation
Earning Before Taxes (EBT)
Less: Taxes
Earning After Tax (EAT)
Add: Depreciation
Cash Flows After Tax (CFAT)
xxx
xxx
xxx
xxx
xxx
xxx
xxx
xxx
xxx
xxx
xxx
Proforma of Cash Inflows After Taxes (CFAT)
Pay Back Period [PBP]
• Pay Back Period: The period required to recover the original
cash out flow or investment
PBP (when cash flows are even) = --------------------------
CFAT
PBP (when cash flows are uneven): Cumulative CFs Method
Decision Rule : Accept = when calculated PBP < Std.PBP
Reject = when calculated PBP > Std.PBP
Original Investment
Evaluation of PBP
Advantages:
• Easy to understand
• Cost involvement in calculating PBP is less
Disadvantages:
• Ignores CFs after PBP
• Not suitable for measuring profitability
• Do not consider Time Value of Money
• No base for deciding standard PBP
• Not suitable to maximise wealth
ARR
• Decision Rate:Accept = Calculated ARR > Std.ARR
Reject = Calculated ARR < Std.ARR
Average Annual EAT or PAT
Accounting Rate of Return (ARR) = ------------------------------------- ×100
Original Investment (OI)*
* OI = Original investment + additional NWC + Installation Charges + Transportation Charge
(ii) whenever it is clearly mentioned as Average Rate of Return
If Average rate of return is given in the problem, return on average investment
method should be used to calculate average rate of return.
Average Annual EAT
Average Rate of Return = -------------------------------- ×100
Average Investment (AI)*
* AI = (Original investment – Scrap Value)1/2 + Additional NWC + Scrap Value
Evaluation of ARR
Advantages:
• Consider all profits of the project
• Information can easily be drawn from accounts department
Disadvantages:
• Consider accounting profits
• Ignores time value of money
• Does not allow profits to invest
• Does not differential between size of investment required
for each project
• Not suitable to maximum owners wealth
Net Present Value (NPV)
• Net Present Value: Present value of benefits minus preset
value of costs
Steps involved in computation of NPV
1. Forecasting of cash inflows of the investment project based on realistic
assumptions,
2. Computation of cost of capital, which is used as discounting factor for
conversion of future cash inflows into present values,
3. Calculation of PV cash flows using cost of capital as discounting rate,
4. Finding out NPV by subtracting PV of cash out flows from PV of cash
inflows.
Decision Rule
Accept: NPV> Zero Reject: NPV< Zero
Evaluation of NPV
Advantages:
• Consider time value of money
• Consider cash flows through project life
• Suitable for mutually exclusive proposals
• Help to maximum shareholders wealth
Disadvantages:
• NPV calculation involves lengthy time
• Not suitable for projects with different cash outflows
• May not give suitable suggestion-projects with unequal life
periods
Internal Rate of Return (IRR)
• Internal Rate of Return (IRR): The discount rate at which
PV of cash inflows equals to PV of cash out flows
PVLDF - COF
IRR = LDF % + ΔDF ----------------------
PVLDF - PVHDF
Where LDF = Lower discount factor
ΔDF = Difference between low discounting factor and High discounting factor
PVLDF = PV of cash inflows at low discounting factor
PVHDF = PV of cash inflows at high discounting factor
COF = Cash outflow
Decision Role:
Accept = Ko < IRR
Reject = Ko > IRR
IRR Computed by Trial and error approach
If not getting them interpolation formula use
Evaluation of IRR
Advantages:
• Consider time value of money
• Consider CFs through project life
• Gives more psychological satisfaction
• Helps to maximum shareholders wealth
Disadvantages:
• Assumption of profits are reinvested at IRR not logical
• Produces multiple rate of returns
• Not suitable for evaluation mutually exclusive projects
• May not give fruitful results when project life or cash
outflows are unequal
Profitability Index (PI or BCR)
• Profitability Index: The index that is desired by dividing PV of cash
inflows by PV of cash out flows
PI = PV of CIFs PV of COFs
Decision Rule:
Accept: PI>1
Reject: PI<1

Evaluation of PI
• It gives due consideration to time value of money,
• It considers all cash flows to determine PI,
• It will help to rank projects according to their PI,
• It recognized that the fact that bigger cash flows are better to
smaller ones and early cash flows are preferable to later ones,
• It can also be used to choose mutually exclusive projects by
calculating the incremental benefit cost ratio.
• It is consistent with the objectives maximization of
shareholders’ wealth.

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Chapter 8.ppt

  • 2. Meaning of Capital Budgeting • The firm’s decision to invest its current funds most efficiently in the long term assets in anticipation of an expected flow of benefits over a series of years
  • 3. Importance of Capital Budgeting • Growth • More risky • Huge investments • Irreversibility • Effect on other projects • Difficult decision
  • 4. Difficulties in Capital Budgeting • Measurement problem • Uncertainty • Temporal spread
  • 5. Classification of Projects • New projects • Expansion projects • Diversification projects • Replacement and Modernisation projects • Research and Development (R&D) project • Interior Decoration • Recreation facilities • Landscaped gardens
  • 6. Kinds of Capital Budgeting decisions • Mutually Exclusive Investments • Capital Rationing decisions • Contingent investments
  • 7. Process of Capital Budgeting 1. Idea generation 2. Evaluation or Analysis 3. Selection 4. Financing 5. Execution or Implementation 6. Review
  • 8. Techniques of Investment Evaluation Project Evaluation Techniques Traditional Or Non-discounted Cash Flow Modern Or Discounted Cash Flow Pay Back Period Accounting Rate Of Return Net Present Value Internal Rate Of Return Profitability Index
  • 9. Calculation of CFAT Particular Amount (Rs.) Sales Revenue Less: Variable Cost Contribution Less: Fixed Cost Earning Before Depreciation and Taxes (EBDT) Less: Depreciation Earning Before Taxes (EBT) Less: Taxes Earning After Tax (EAT) Add: Depreciation Cash Flows After Tax (CFAT) xxx xxx xxx xxx xxx xxx xxx xxx xxx xxx xxx Proforma of Cash Inflows After Taxes (CFAT)
  • 10. Pay Back Period [PBP] • Pay Back Period: The period required to recover the original cash out flow or investment PBP (when cash flows are even) = -------------------------- CFAT PBP (when cash flows are uneven): Cumulative CFs Method Decision Rule : Accept = when calculated PBP < Std.PBP Reject = when calculated PBP > Std.PBP Original Investment
  • 11. Evaluation of PBP Advantages: • Easy to understand • Cost involvement in calculating PBP is less Disadvantages: • Ignores CFs after PBP • Not suitable for measuring profitability • Do not consider Time Value of Money • No base for deciding standard PBP • Not suitable to maximise wealth
  • 12. ARR • Decision Rate:Accept = Calculated ARR > Std.ARR Reject = Calculated ARR < Std.ARR Average Annual EAT or PAT Accounting Rate of Return (ARR) = ------------------------------------- ×100 Original Investment (OI)* * OI = Original investment + additional NWC + Installation Charges + Transportation Charge (ii) whenever it is clearly mentioned as Average Rate of Return If Average rate of return is given in the problem, return on average investment method should be used to calculate average rate of return. Average Annual EAT Average Rate of Return = -------------------------------- ×100 Average Investment (AI)* * AI = (Original investment – Scrap Value)1/2 + Additional NWC + Scrap Value
  • 13. Evaluation of ARR Advantages: • Consider all profits of the project • Information can easily be drawn from accounts department Disadvantages: • Consider accounting profits • Ignores time value of money • Does not allow profits to invest • Does not differential between size of investment required for each project • Not suitable to maximum owners wealth
  • 14. Net Present Value (NPV) • Net Present Value: Present value of benefits minus preset value of costs Steps involved in computation of NPV 1. Forecasting of cash inflows of the investment project based on realistic assumptions, 2. Computation of cost of capital, which is used as discounting factor for conversion of future cash inflows into present values, 3. Calculation of PV cash flows using cost of capital as discounting rate, 4. Finding out NPV by subtracting PV of cash out flows from PV of cash inflows. Decision Rule Accept: NPV> Zero Reject: NPV< Zero
  • 15. Evaluation of NPV Advantages: • Consider time value of money • Consider cash flows through project life • Suitable for mutually exclusive proposals • Help to maximum shareholders wealth Disadvantages: • NPV calculation involves lengthy time • Not suitable for projects with different cash outflows • May not give suitable suggestion-projects with unequal life periods
  • 16. Internal Rate of Return (IRR) • Internal Rate of Return (IRR): The discount rate at which PV of cash inflows equals to PV of cash out flows PVLDF - COF IRR = LDF % + ΔDF ---------------------- PVLDF - PVHDF Where LDF = Lower discount factor ΔDF = Difference between low discounting factor and High discounting factor PVLDF = PV of cash inflows at low discounting factor PVHDF = PV of cash inflows at high discounting factor COF = Cash outflow Decision Role: Accept = Ko < IRR Reject = Ko > IRR IRR Computed by Trial and error approach If not getting them interpolation formula use
  • 17. Evaluation of IRR Advantages: • Consider time value of money • Consider CFs through project life • Gives more psychological satisfaction • Helps to maximum shareholders wealth Disadvantages: • Assumption of profits are reinvested at IRR not logical • Produces multiple rate of returns • Not suitable for evaluation mutually exclusive projects • May not give fruitful results when project life or cash outflows are unequal
  • 18. Profitability Index (PI or BCR) • Profitability Index: The index that is desired by dividing PV of cash inflows by PV of cash out flows PI = PV of CIFs PV of COFs Decision Rule: Accept: PI>1 Reject: PI<1 
  • 19. Evaluation of PI • It gives due consideration to time value of money, • It considers all cash flows to determine PI, • It will help to rank projects according to their PI, • It recognized that the fact that bigger cash flows are better to smaller ones and early cash flows are preferable to later ones, • It can also be used to choose mutually exclusive projects by calculating the incremental benefit cost ratio. • It is consistent with the objectives maximization of shareholders’ wealth.