CAPITAL BUDGETING
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CAPITAL BUDGETING CAPITAL BUDGETING Presentation Transcript

  • Chapter - 8 Capital Budgeting Decisions
  • Chapter Objectives  Understand the nature and importance of investment decisions.  Distinguish between discounted cash flow (DCF) and non      discounted cash flow (non-DCF) techniques of investment evaluation. Explain the methods of calculating net present value (NPV) and internal rate of return (IRR). Show the implications of net present value (NPV) and internal rate of return (IRR). Describe the non-DCF evaluation criteria: payback and accounting rate of return and discuss the reasons for their popularity in practice and their pitfalls. Illustrate the computation of the discounted payback. Describe the merits and demerits of the DCF and Non-DCF investment criteria. Compare and contract NPV and IRR and emphasise the superiority of NPV rule. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 2
  • Nature of Investment Decisions  The investment decisions of a firm are generally known as the capital budgeting, or capital expenditure decisions.  The firm’s investment decisions would generally include expansion, acquisition, modernisation and replacement of the long-term assets. Sale of a division or business (divestment) is also as an investment decision.  Decisions like the change in the methods of sales distribution, or an advertisement campaign or a research and development programme have longterm implications for the firm’s expenditures and benefits, and therefore, they should also be evaluated as investment decisions. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 3
  • Features of Investment Decisions  The exchange of current funds for future benefits.  The funds are invested in long-term assets.  The future benefits will occur to the firm over a series of years. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 4
  • Importance of Investment Decisions  Growth  Risk  Funding  Irreversibility  Complexity Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 5
  • Types of Investment Decisions  One classification is as follows:  Expansion of existing business  Expansion of new business  Replacement and modernisation  Yet another useful way to classify investments is as follows:    Mutually exclusive investments Independent investments Contingent investments Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 6
  • Investment Evaluation Criteria  Three steps are involved in the evaluation of an investment:    Estimation of cash flows Estimation of the required rate of return (the opportunity cost of capital) Application of a decision rule for making the choice Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 7
  • Investment Decision Rule  It should maximise the shareholders’ wealth.  It should consider all cash flows to determine the true profitability of      the project. It should provide for an objective and unambiguous way of separating good projects from bad projects. It should help ranking of projects according to their true profitability. It should recognise the fact that bigger cash flows are preferable to smaller ones and early cash flows are preferable to later ones. It should help to choose among mutually exclusive projects that project which maximises the shareholders’ wealth. It should be a criterion which is applicable to any conceivable investment project independent of others. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 8
  • Evaluation Criteria  1. Discounted Cash Flow (DCF) Criteria  Net Present Value (NPV)  Internal Rate of Return (IRR)  Profitability Index (PI)  2. Non-discounted Cash Flow Criteria    Payback Period (PB) Discounted Payback Period (DPB) Accounting Rate of Return (ARR) Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 9
  • Net Present Value Method  Cash flows of the investment project should be forecasted based on realistic assumptions.  Appropriate discount rate should be identified to discount the forecasted cash flows. The appropriate discount rate is the project’s opportunity cost of capital.  Present value of cash flows should be calculated using the opportunity cost of capital as the discount rate.  The project should be accepted if NPV is positive (i.e., NPV > 0). Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 10
  • Net Present Value Method  Net present value should be found out by subtracting present value of cash outflows from present value of cash inflows. The formula for the net present value can be written as follows:  C1 C3 Cn  C2 NPV =  + + +L+ − C0 2 3 n  (1 + k ) (1 + k )   (1 + k ) (1 + k ) n Ct NPV = ∑ − C0 t t =1 (1 + k ) Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 11
  • Calculating Net Present Value  Assume that Project X costs Rs 2,500 now and is expected to generate year-end cash inflows of Rs 900, Rs 800, Rs 700, Rs 600 and Rs 500 in years 1 through 5. The opportunity cost of the capital may be assumed to be 10 per cent.  Rs 900 Rs 800 Rs 700 Rs 600 Rs 500  NPV =  + + + + − Rs 2,500 2 3 4 5  (1+0.10) (1+0.10) (1+0.10)   (1+0.10) (1+0.10) NPV = [Rs 900(PVF1, 0.10 ) + Rs 800(PVF2, 0.10 ) + Rs 700(PVF3, 0.10 ) + Rs 600(PVF4, 0.10 ) + Rs 500(PVF5, 0.10 )] − Rs 2,500 NPV = [Rs 900 × 0.909 + Rs 800 × 0.826 + Rs 700 × 0.751 + Rs 600 × 0.683 + Rs 500 × 0.620] − Rs 2,500 NPV = Rs 2,725 − Rs 2,500 = + Rs 225 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 12
  • Acceptance Rule  Accept the project when NPV is positive NPV > 0  Reject the project when NPV is negative NPV < 0  May accept the project when NPV is zero NPV = 0  The NPV method can be used to select between mutually exclusive projects; the one with the higher NPV should be selected. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 13
  • Evaluation of the NPV Method  NPV is most acceptable investment rule for the following reasons:     Time value Measure of true profitability Value-additivity Shareholder value  Limitations:  Involved cash flow estimation  Discount rate difficult to determine  Mutually exclusive projects  Ranking of projects Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 14
  • Internal Rate of Return Method  The internal rate of return (IRR) is the rate that equates the investment outlay with the present value of cash inflow received after one period. This also implies that the rate of return is the discount rate which makes NPV = 0. C3 Cn C1 C2 C0 = + + +L+ 2 3 (1 + r ) (1 + r ) (1 + r ) (1 + r ) n n C0 = ∑ t =1 n ∑ t =1 Ct (1 + r )t Ct − C0 = 0 t (1 + r ) Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 15
  • Calculation of IRR  Uneven Cash Flows: Calculating IRR by Trial and Error  The approach is to select any discount rate to compute the present value of cash inflows. If the calculated present value of the expected cash inflow is lower than the present value of cash outflows, a lower rate should be tried. On the other hand, a higher value should be tried if the present value of inflows is higher than the present value of outflows. This process will be repeated unless the net present value becomes zero. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 16
  • Calculation of IRR  Level Cash Flows  Let us assume that an investment would cost Rs 20,000 and provide annual cash inflow of Rs 5,430 for 6 years.  The IRR of the investment can be found out as follows: NPV = −Rs 20,000 + Rs 5,430(PVAF6,r ) = 0 Rs 20,000 = Rs 5,430(PVAF6, r ) PVAF6, r = Rs 20,000 = 3.683 Rs 5,430 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 17
  • NPV Profile and IRR A 1 N P V P r o file 2 C a s h F lo w 3 -2 0 0 0 0 4 5430 5 5430 6 5430 7 5430 8 5430 9 5430 B D is c o u n t r a te 0% 5% 10% 15% 16% 20% 25% C D E F NPV 1 2 ,5 8 0 7 ,5 6 1 3 ,6 4 9 550 0 (1 ,9 4 2 ) (3 ,9 7 4 ) G H IR R F ig u r e 8 .1 N P V P ro file Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 18
  • Acceptance Rule  Accept the project when r > k.  Reject the project when r < k.  May accept the project when r = k.  In case of independent projects, IRR and NPV rules will give the same results if the firm has no shortage of funds. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 19
  • Evaluation of IRR Method  IRR method has following merits:  Time value  Profitability measure  Acceptance rule  Shareholder value  IRR method may suffer from:  Multiple rates  Mutually exclusive projects  Value additivity Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 20
  • Profitability Index  Profitability index is the ratio of the present value of cash inflows, at the required rate of return, to the initial cash outflow of the investment. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 21
  • Profitability Index  The initial cash outlay of a project is Rs 100,000 and it can generate cash inflow of Rs 40,000, Rs 30,000, Rs 50,000 and Rs 20,000 in year 1 through 4. Assume a 10 per cent rate of discount. The PV of cash inflows at 10 per cent discount rate is: PV = Rs 40,000(PVF1, 0.10 ) + Rs 30,000(PVF2, 0.10 ) + Rs 50,000(PVF3, 0.10 ) + Rs 20,000(PVF4, 0.10 ) = Rs 40,000 × 0.909 + Rs 30,000 × 0.826 + Rs 50,000 × 0.751 + Rs 20,000 × 0.68 NPV = Rs 112,350 − Rs 100,000 = Rs 12,350 Rs 1,12,350 PI = = 1.1235. Rs 1,00,000 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 22
  • Acceptance Rule  The following are the PI acceptance rules:  Accept the project when PI is greater than one. PI > 1  Reject the project when PI is less than one. PI < 1  May accept the project when PI is equal to one. PI = 1  The project with positive NPV will have PI greater than one. PI less than means that the project’s NPV is negative. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 23
  • Evaluation of PI Method  It recognises the time value of money.  It is consistent with the shareholder value maximisation principle. A project with PI greater than one will have positive NPV and if accepted, it will increase shareholders’ wealth.  In the PI method, since the present value of cash inflows is divided by the initial cash outflow, it is a relative measure of a project’s profitability.  Like NPV method, PI criterion also requires calculation of cash flows and estimate of the discount rate. In practice, estimation of cash flows and discount rate pose problems. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 24
  • Payback  Payback is the number of years required to recover the original cash outlay invested in a project.  If the project generates constant annual cash inflows, the payback period can be computed by dividing cash outlay by the annual cash inflow. That is: Payback = C Initial Investment = 0 Annual Cash Inflow C  Assume that a project requires an outlay of Rs 50,000 and yields annual cash inflow of Rs 12,500 for 7 years. The payback period for the project is: Rs 50,000 PB = = 4 years Rs 12,000 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 25
  • Payback  Unequal cash flows In case of unequal cash inflows, the payback period can be found out by adding up the cash inflows until the total is equal to the initial cash outlay.  Suppose that a project requires a cash outlay of Rs 20,000, and generates cash inflows of Rs 8,000; Rs 7,000; Rs 4,000; and Rs 3,000 during the next 4 years. What is the project’s payback? 3 years + 12 × (1,000/3,000) months 3 years + 4 months Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 26
  • Acceptance Rule  The project would be accepted if its payback period is less than the maximum or standard payback period set by management.  As a ranking method, it gives highest ranking to the project, which has the shortest payback period and lowest ranking to the project with highest payback period. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 27
  • Evaluation of Payback  Certain virtues:  Simplicity  Cost effective  Short-term effects  Risk shield  Liquidity  Serious limitations:  Cash flows after payback  Cash flows ignored  Cash flow patterns  Administrative difficulties  Inconsistent with shareholder value Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 28
  • Payback Reciprocal and the Rate of Return  The reciprocal of payback will be a close approximation of the internal rate of return if the following two conditions are satisfied:   The life of the project is large or at least twice the payback period. The project generates equal annual cash inflows. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 29
  • Discounted Payback Period  The discounted payback period is the number of periods taken in recovering the investment outlay on the present value basis.  The discounted payback period still fails to consider the cash flows occurring after the payback period. 3 DISCOUNTED PAYBACK ILLUSTRATED P PV of cash flows Q PV of cash flows C0 -4,000 -4,000 -4,000 -4,000 Cash Flows (Rs) C1 C2 3,000 1,000 2,727 826 0 4,000 0 3,304 C3 1,000 751 1,000 751 C4 1,000 683 2,000 1,366 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. Simple PB Discounted PB NPV at 10% 2 yrs – 2.6 yrs – 2.9 yrs – 987 – 1,421 2 yrs 30
  • Accounting Rate of Return Method  The accounting rate of return is the ratio of the average after-tax profit divided by the average investment. The average investment would be equal to half of the original investment if it were depreciated constantly. Average income ARR = Average investment  A variation of the ARR method is to divide average earnings after taxes by the original cost of the project instead of the average cost. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 31
  • Acceptance Rule  This method will accept all those projects whose ARR is higher than the minimum rate established by the management and reject those projects which have ARR less than the minimum rate.  This method would rank a project as number one if it has highest ARR and lowest rank would be assigned to the project with lowest ARR. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 32
  • Evaluation of ARR Method  The ARR method may claim some merits  Simplicity  Accounting data  Accounting profitability  Serious shortcoming    Cash flows ignored Time value ignored Arbitrary cut-off Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 33
  • Conventional and Non-conventional Cash Flows  A conventional investment has cash flows the pattern of an initial cash outlay followed by cash inflows. Conventional projects have only one change in the sign of cash flows; for example, the initial outflow followed by inflows, i.e., – + + +.  A non-conventional investment, on the other hand, has cash outflows mingled with cash inflows throughout the life of the project. Nonconventional investments have more than one change in the signs of cash flows; for example, – + + + – ++ – +. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 34
  • NPV Versus IRR  Conventional Independent Projects: In case of conventional investments, which are economically independent of each other, NPV and IRR methods result in same accept-or-reject decision if the firm is not constrained for funds in accepting all profitable projects. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 35
  • NPV Versus IRR •Lending and borrowing-type projects: Project with initial outflow followed by inflows is a lending type project, and project with initial inflow followed by outflows is a lending type project, Both are conventional projects. Cash Flows (Rs) Project X Y C0 -100 100 C1 120 -120 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. IRR 20% 20% NPV at 10% 9 -9 36
  • Problem of Multiple IRRs  A project may have both lending and borrowing features together. IRR method, when used to evaluate such non-conventional investment can yield multiple internal rates of return because of more than one change of signs in cash flows. NPV (Rs) 250 NPV Rs 63 0 -250 -500 -750 0 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 50 100 150 200 250 Discount Rate (%) 37
  • Case of Ranking Mutually Exclusive Projects  Investment projects are said to be mutually exclusive when only one investment could be accepted and others would have to be excluded.  Two independent projects may also be mutually exclusive if a financial constraint is imposed.  The NPV and IRR rules give conflicting ranking to the projects under the following conditions:    The cash flow pattern of the projects may differ. That is, the cash flows of one project may increase over time, while those of others may decrease or vice-versa. The cash outlays of the projects may differ. The projects may have different expected lives. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 38
  • Timing of Cash Flows Cash Flows (Rs) Project M N C0 – 1,680 – 1,680 C1 1,400 140 C2 700 840 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. NPV C3 140 1,510 at 9% 301 321 IRR 23% 17% 39
  • Scale of Investment Cash Flow (Rs) Project A B C0 -1,000 -100,000 C1 1,500 120,000 NPV at 10% 364 9,080 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. IRR 50% 20% 40
  • Project Life Span Cash Flows (Rs) Project X Y C0 – 10,000 – 10,000 C1 C2 C3 C4 C5 NPV at 10% IRR 12,000 0 – 0 – 0 – 0 – 20,120 908 2,495 20% 15% Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 41
  • Reinvestment Assumption  The IRR method is assumed to imply that the cash flows generated by the project can be reinvested at its internal rate of return, whereas the NPV method is thought to assume that the cash flows are reinvested at the opportunity cost of capital. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 42
  • Modified Internal Rate of Return (MIRR)  The modified internal rate of return (MIRR) is the compound average annual rate that is calculated with a reinvestment rate different than the project’s IRR. The modified internal rate of return (MIRR) is the compound average annual rate that is calculated with a reinvestment rate different than the project’s IRR. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 43
  • Varying Opportunity Cost of Capital  There is no problem in using NPV method when the opportunity cost of capital varies over time.  If the opportunity cost of capital varies over time, the use of the IRR rule creates problems, as there is not a unique benchmark opportunity cost of capital to compare with IRR. Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 44
  • NPV Versus PI  A conflict may arise between the two methods if a choice between mutually exclusive projects has to be made. Follow NPV method: Project C PV of cash inflows Initial cash outflow NPV PI Project D 100,000 50,000 50,000 50,000 20,000 30,000 2.00 2.50 Financial Management, Ninth Edition © I M Pandey Vikas Publishing House Pvt. Ltd. 45