1 / 35

CHAPTER 10 The Basics of Capital Budgeting

CHAPTER 10 The Basics of Capital Budgeting. Should we build this plant?. OUTLINE. What is Capital Budgeting? 3 Methods of Evaluating Investment Proposals Accept/Reject Decision Net Present Value Profile Capital Rationing Estimating Project CF Identifying Relevant Project Risk.

brock
Download Presentation

CHAPTER 10 The Basics of Capital Budgeting

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CHAPTER 10The Basics of Capital Budgeting Should we build this plant?

  2. OUTLINE • What is Capital Budgeting? • 3 Methods of Evaluating Investment Proposals • Accept/Reject Decision • Net Present Value Profile • Capital Rationing • Estimating Project CF • Identifying Relevant Project Risk

  3. What is capital budgeting? • analysis of potential additions to fixed assets. • represents a long-term investment decision • involves the planning of expenditures for a project with a life of many years • usually requires a large initial cash outflow with the expectation of future cash inflows • uses present value analysis • emphasizes cash flows rather than income • Very important to firm’s future.

  4. Steps to capital budgeting • Estimate CFs (inflows & outflows). • Assess riskiness of CFs. • Determine the appropriate cost of capital. • Find NPV and/or IRR. • Accept if NPV > 0 and/or IRR > WACC.

  5. What is the difference between independent and mutually exclusive projects? • Independent projects – if the cash flows of one are unaffected by the acceptance of the other. • Mutually exclusive projects – if the cash flows of one can be adversely impacted by the acceptance of the other.

  6. What is the difference between normal and nonnormal cash flow streams? • Normal cash flow stream – Cost (negative CF) followed by a series of positive cash inflows. One change of signs. • Nonnormal cash flow stream – Two or more changes of signs. Most common: Cost (negative CF), then string of positive CFs, then cost to close project. Nuclear power plant, strip mine, etc.

  7. Methods of Evaluating Investment Proposals • There are 3 widely used methods of evaluating investment proposals: • Payback Method (PB) • Regular Payback period • Discounted Payback period • Internal Rate of Return (IRR) • Net Present Value (NPV) • PI (Profitibility index)

  8. Regular Payback Period Method (PB) • The number of years required to recover a project’s cost, or “How long does it take to get our money back?” • Calculated by adding project’s cash inflows to its cost until the cumulative cash flow for the project turns positive • a cutoff period is established • The shorter the batter Advantages: – easy to use (“quick and dirty” approach) – emphasizes liquidity and risk - Easy to calculate and understand. Disadvantages: – ignores inflows after the cutoff period and fails to consider the time value of money – is inferior to the other 2 methods (NPV & IRR)

  9. 2.4 3 0 1 2 Project L 80 CFt-100 10 60 100 Cumulative -100 -90 0 50 -30 30 80 PaybackL = 2 + / = 2.375 years = 1.6 3 0 1 2 Project S CFt-100 70 100 20 50 Cumulative -100 0 20 40 -30 30 50 PaybackS = 1 + / = 1.6 years = Calculating payback :-

  10. Discounted payback Period • Similar to the regular payback except that the expected CFs are discounted by the project’s CoC. • Thus, the discounted payback period is defined as the number of years required to recover the investment from the discounted net cash flows. • This method consider capital cost-it shows the breakeven years after covering debt and equity cost. • Example: use the same example as before. Assume the project’s cost of capital is 10%

  11. 2.7 3 0 1 2 10% CFt -100 10 60 80 PV of CFt -100 9.09 49.59 60.11 Cumulative -100 -90.91 18.79 -41.32 Disc PaybackL = 2 + / = 2.7 years = 41.32 60.11 Discounted payback period • Uses discounted cash flows rather than raw CFs.

  12. Net Present Value (NPV) How to implement this approach:-  Find the present value of each cash flow, including both inflows and outflows and discounted at the project’s CoC. Sum these discounted CFs; this sum is defined as the project’s NPV. If the NPV is +ve, the project should be accepted, while if the NPV is –ve, it should be rejected. • Sum of the PVs of all cash inflows and outflows of a project:

  13. What is Project L’s NPV? YearCFtPV of CFt 0 -100 -$100 1 10 9.09 2 60 49.59 3 80 60.11 NPVL = $18.79 NPVS = $19.98

  14. Solving for NPV:Financial calculator solution • Enter CFs into the calculator’s CFLO register. • CF0 = -100 • CF1 = 10 • CF2 = 60 • CF3 = 80 • Enter I/YR = 10, press NPV button to get NPVL = $18.78.

  15. Rationale for the NPV method NPV = PV of inflows – Cost = Net gain in wealth • If projects are independent, accept if the project NPV > 0. • If projects are mutually exclusive, accept projects with the highest positive NPV, those that add the most value. • In this example, would accept S if mutually exclusive (NPVs > NPVL), and would accept both if independent.

  16. Internal Rate of Return (IRR) represents a yield on an investment or an interest rate • IRR is the discount rate that forces PV of inflows equal to cost, and the NPV = 0: • The IRR is defined as the discount rate that equates the PV of the project’s expected cash flows (inflow) to the PV of the project’s costs. • PV(Inflows) = PV (Investment costs) • Solving for IRR with a financial calculator: • Enter CFs in CFLO register. • Press IRR; IRRL = 18.13% and IRRS = 23.56%.

  17. How is a project’s IRR similar to a bond’s YTM? • They are the same thing. • Think of a bond as a project. The YTM on the bond would be the IRR of the “bond” project. • EXAMPLE: Suppose a 10-year bond with a 9% annual coupon sells for $1,134.20. • Solve for IRR = YTM = 7.08%, the annual return for this project/bond.

  18. Rationale for the IRR method • If IRR > WACC, the project’s rate of return is greater than its costs. There is some return left over to boost stockholders’ returns.

  19. IRR Acceptance Criteria • If IRR > k, accept project. • If IRR < k, reject project. • If projects are independent, accept both projects, as both IRR > k = 10%. • If projects are mutually exclusive, accept S, because IRRs > IRRL.

  20. Accept/Reject Decision LT 12-7 Payback Method (PB): –if PB period < cutoff period, accept the project – if PB period > cutoff period, reject the project Internal Rate of Return (IRR): – if IRR > cost of capital, accept the project – if IRR < cost of capital, reject the project Net Present Value (NPV): – if NPV > 0, accept the project – if NPV < 0, reject the project

  21. Net Present Value Profile LT 12-9 a graph of the NPV of a project at 3 different discount rates: • a zero discount rate • the normal discount rate (or cost of capital) • the IRR for the investment  allows an easy way to visualize whether or not an investment should be undertaken

  22. NPV Profiles • A graphical representation of project NPVs at various different costs of capital. k NPVLNPVS 0 $50 $40 5 33 29 10 19 20 15 7 12 20 (4) 5

  23. Project L- has the higher NPV at a low CoC - greeter sensitivity (steeper slope) IRRL = 18.1% IRRS = 23.6% Project S has the higher NPV at a high CoC Drawing NPV profiles-both project decrease as the COC increase NPV ($) 60 . 50 . 40 . Crossover Point = 8.7% . 30 . . 20 . . S . 10 L . . Discount Rate (%) 0 5 15 20 23.6 10 -10

  24. Comparing the NPV and IRR methods • If projects are independent, the two methods always lead to the same accept/reject decisions. • If projects are mutually exclusive … • If k > crossover point (8.7), the two methods (IRRS exceed IRRL & NPVs is larger than NPVL) lead to the same decision (pro.S)and there is no conflict. • If k < crossover point, the two methods lead to different accept/reject decisions.(NPV method rank pro. L higher, but IRR method indicate pro.s is better)

  25. Finding the crossover point • Find cash flow differences between the projects for each year. • Enter these differences in CFLO register, then press IRR. Crossover rate = 8.68%, rounded to 8.7%. • Can subtract S from L or vice versa, but better to have first CF negative. • If profiles don’t cross, one project dominates the other.

  26. Reasons why NPV profiles cross (conflict between NPV and IRR) • Size (scale) differences – the cost of one project is larger that of the other. • if one pro. cost more than the other then firm will have more money at t = 0 to invest elsewhere if it select smaller project. • The higher the opportunity cost, the more valuable these funds, so high k favors small projects. • Timing differences – most of the CF from one pro. come in early years, while the other come in later years. • the project with faster payback provides more CF in early years for reinvestment. If k is high, early CF especially good.

  27. Reinvestment rate assumptions • NPV method assumes CFs are reinvested at k, the opportunity cost of capital. • IRR method assumes CFs are reinvested at IRR. • Assuming CFs are reinvested at the opportunity cost of capital is more realistic, so NPV method is the best. NPV method should be used to choose between mutually exclusive projects. • Perhaps a hybrid of the IRR that assumes cost of capital reinvestment is needed.

  28. Since managers prefer the IRR to the NPV method, is there a better IRR measure? • Yes, MIRR is the discount rate that causes the PV of a project’s terminal value (TV) to equal the PV of costs. TV is found by compounding inflows at WACC. • MIRR assumes cash flows are reinvested at the WACC.

  29. 0 1 2 3 10% -100.0 10.0 60.0 80.0 10% 66.0 12.1 10% MIRR = 16.5% 158.1 $158.1 (1 + MIRRL)3 -100.0 TV inflows $100 = PV outflows MIRRL = 16.5% Calculating MIRR

  30. Why use MIRR versus IRR? • MIRR correctly assumes reinvestment at opportunity cost = WACC. MIRR also avoids the problem of multiple IRRs. • Managers like rate of return comparisons, and MIRR is better for this than IRR.

  31. 0 1 2 k = 10% -800 5,000 -5,000 Project P has cash flows (in 000s): CF0 = -$800, CF1 = $5,000, and CF2 = -$5,000. Find Project P’s NPV and IRR. • Enter CFs into calculator CFLO register. • Enter I/YR = 10. • NPV = -$386.78. • IRR = ERROR Why?

  32. NPV Profile NPV IRR2 = 400% 450 0 k 100 400 IRR1 = 25% -800 Multiple IRRs

  33. Why are there multiple IRRs? • At very low discount rates, the PV of CF2 is large & negative, so NPV < 0. • At very high discount rates, the PV of both CF1 and CF2 are low, so CF0 dominates and again NPV < 0. • In between, the discount rate hits CF2 harder than CF1, so NPV > 0. • Result: 2 IRRs.

  34. Solving the multiple IRR problem • Using a calculator • Enter CFs as before. • Store a “guess” for the IRR (try 10%) 10 ■ STO ■ IRR = 25% (the lower IRR) • Now guess a larger IRR (try 200%) 200 ■ STO ■ IRR = 400% (the higher IRR) • When there are nonnormal CFs and more than one IRR, use the MIRR.

  35. When to use the MIRR instead of the IRR? Accept Project P? • When there are nonnormal CFs and more than one IRR, use MIRR. • PV of outflows @ 10% = -$4,932.2314. • TV of inflows @ 10% = $5,500. • MIRR = 5.6%. • Do not accept Project P. • NPV = -$386.78 < 0. • MIRR = 5.6% < k = 10%.

More Related