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1. Capital Budgeting Decision Criteria
2. Methods of Evaluating Capital Budgeting Projects Net Present Value (NPV)
Internal Rate of Return (IRR)
Modified Internal Rate of Return (MIRR)
Profitability Index (PI)
Payback Period (PB)
3. Evaluate a Project with the Following Cash Flows
4. Net Present Value NPV is the present value of all project cash flows
Discount at weighted average cost of capital (WACC)
Assumes cash flows are reinvested at WACC
NPV varies inversely with WACC
Decision Rule:
Accept if NPV $0
Reject if NPV < $0
NPV represents change in the value of operations from accepting a capital budgeting project
Thus, NPV accrues to shareholders and creditors
5. Net Present Value
6. Internal Rate of Return IRR is the discount rate making NPV = 0
Assumes cash flows are reinvested at IRR
Single IRR for a project (assuming normal cash flows)
Decision Rule:
Accept if IRR WACC
Reject if IRR < WACC
IRR represents the return on a project, while WACC represents the cost of financing a project.
7. Internal Rate of Return
8. NPV Profile
9. Mutually Exclusive & Independent Projects Independent
Accept ALL projects which pass the decision rule (NPV or IRR)
NPV & IRR give identical accept/reject outcomes
Mutually Exclusive
Accept Single Best project that passes the decision rule
Possible conflicts between NPV & IRR
NPV Best
10. Example
11. Example
12. Conflicts between NPV and IRR For mutually exclusive projects NPV and IRR may give conflicting decisions when:
Project Size (initial cost) differs
Timing of Cash Flows differs
Use NPV over IRR:
NPV represents the increase in firm value
Earning a high IRR doesnt mean the firm can reinvest at that same high IRR
13. Non-Normal Cash Flows
14. Modified Internal Rate of Return 3 step process
First: find future value of all Positive Cash Flows [compound at WACC]
Second: find present value of all Negative Cash Flows [discount at WACC]
Third: Find rate of return using Lump Sum formula
Use IRR rule:
Accept if MIRR WACC
Reject if MIRR < WACC
15. MIRR
16. Mutually Exclusive Projects with Different Life Spans
17. Replacement Chain
18. Equivalent Annual Annuity
19. Profitability Index PI is the present value of all project cash flows divided by the initial cost of the investment
Discount at weighted average cost of capital (WACC)
Assumes cash flows are reinvested at WACC
Decision Rule:
Accept if PI 1.0
Reject if PI < 1.0
PI is often preferred over NPV when a firm faces a capital rationing constraint (a limit on what it can spend on capital budgeting projects)
20. Profitability Index
21. Capital Rationing Example
22. Capital Rationing Example
23. Why Ration Capital? Managers believe market conditions temporarily adverse
Shortage of needed talent / skill sets
Growing faster than is sustainable
Adverse to issuing new stock
Adverse to altering capital structure
Adverse to altering dividend payout
Managerial risk aversion
24. Payback Period Number of years to recover Initial Investment
Doesnt discount
Ignores cash flows past payback period date
Target payback period is subjective determined
Benefit
Measures Liquidity of the project
25. Drawbacks of Payback Method
26. Average Accounting Return A company invests $200,000 in a project, depreciated straight-line over 5 years:
27. Drawbacks of AAR Based on accounting income rather than cash flow
Ignores time value of money
An acceptable AAR is purely subjective
28. Economic v Physical Life Physical Life = accounting lifespan of asset
Economic Life = maximizes NPV
29. Summary Independent Projects
NPV, IRR, MIRR, PI produce same accept/reject decision
Mutually Exclusive Projects
NPV or MIRR to avoid conflicting decisions
Capital Rationing
PI
Non-Normal Cash Flows
MIRR & NPV give same decision