Capital Budgeting – Further Considerations

For 9.220, Term 1, 2002/03 02_Lecture10.ppt

Lecture Outline Introduction The input for evaluating projects – relevant flows : real vs. nominal analysis Taxes: the basics – preview this section prior to the next lecture This section includes assigned readings; make sure you do them prior to class. Summary and conclusions

1 Introduction

Up to this point we have examined the methods or techniques for capital budgeting: NPV, IRR, PI, Payback, AAR. All, except AAR, use cash flows for the analysis. AAR is not accepted as a good technique of analysis. Now we turn to cash-flow analysis. From where do we get the cash flows? We need to determine which cash flows should be included in the analysis and how to include them properly. Here we bring in the concepts of relevant cash flows, inflation, and taxes.

Relevant cash flows

The main principles behind which cash flows to include in capital budgeting analysis are as follows: 1. Only include cash flows that change as a result of the project being analyzed. Include all cash flows that are impacted by the project. This is often called an incremental analysis – looking at how cash flows change between not doing the project vs. doing the project.

2 Relevant cash flows

2. Use projections of cash flows, not income. Accounting income ≠ cash. Accounting income cannot be spent, a firm can be losing cash but have positive accounting income, so accounting income is not necessarily representative of cash. Cash is what really generates value; cash can be spent! Depending on arbitrary accounting policies, income can easily be manipulated, so, by itself, it is not a reliable input for capital budgeting analysis.

Which cash flows are relevant to the project analysis, which are not?

Examples Type of Is it Relevant to the analysis? Why?

Sunk

Opportunity Costs

Side Effects (or incidental effects)

Interest Expense (or financing charges)

3 Changes Required by the Project – the cash flow effects

Working capital (WC) items do not show up as costs or , however changes to the WC items either require or free-up cash. Increases in current required for the project imply that cash is used so a cash outflow occurs. To increase requires cash. To increase the cash-register float also requires cash. An increase in (AR) means that the cash you may have recognized, through , hasn’t been received yet. In effect, if your project requires you to increase for your customers (an AR increase), then this uses up cash that you would otherwise have.

More on working capital changes

Increases in current liabilities, on the other hand, free-up cash, so a cash inflow occurs. Increasing (AP) means that a cash flow you may have recognized elsewhere has not yet been paid, therefore the increase in AP is a cash saving or inflow. For other payables, the analysis is the same. Salaries payable, utilities payable, etc. Overall, changes in net working capital (NWC) represent cash flows.

4 Working Capital Example

Without the Project With the Project (that ends in 2005) WC WC 2003 2004 2005 2006 2003 2004 2005 2006 item item Inven Inven $10 $10 $10 $10 $12 $12 $14 $10 -tory -tory

AR $20 $21 $26 $25 AR $26 $26 $28 $25

AP $5 $5 $10 $10 AP $8 $8 $13 $10

NWC $25 $26 $26 $25 NWC $30 $30 $29 $25

NWC Solution

No project, NWC cash flows are as follows: 2003 2004 2005 2006 Cash flow -$25 -$1 $0 $1

With the project, NWC cash flows are as follows: 2003 2004 2005 2006 Cash flow -$30 $0 $1 $4

Change in NWC results in the following incremental cash flows that should be included in the project analysis: 2003 2004 2005 2006 ∆Cash flow

5 Salvage Values and Clean-up Costs – Self Study The change in salvage value or clean-up costs represent cash flows related to a project. Example: consider a project to build an ice-cream stand on some leased land that is currently used for a parking lot. At the end of the lease, in 5 years, the land must be returned to a natural state.

Salvage/Clean-up Analysis – Self Study

Without the Ice-Cream With the Ice-Cream Stand Project Stand Project Year 0 cash flow: $0. Year 0 cash flows: Nothing needs to be -$14,000 to partially done, the parking lot clean up the parking can continue for 5 lot material now. Sell years. parking lot gate for Year 5 cash flows: $1,500. -$20,000 to clean up Year 5 cash flows: the parking lot -$16,000 to clean up material. Sell the the remaining parking parking lot gate for lot material and scrap for $200. remove ice cream stand. Sell ice cream Do the incremental stand for scrap for analysis $1,000.

6 Salvage/Clean-up Solution – Self Study

Change No Project New Project (incremental cash flow)

$0 -$14,000 +$1,500 Yr.0 -$12,500 Net=-$12,500

-$20,000 -$16,000 +$200 +$1,000 Yr. 5 +$4,800 Net=-$19,800 Net=-$15,000

Inflation Sometimes a projected cash flow is given as a nominal amount (the expected actual amount of cash to be received or paid). Sometimes a projected cash flow is given as a real amount (the current or date 0 purchasing power of the cash flow. Note, the real cash flow is not the PV.

7 Nominal/Real Cash Flow Examples

Fred’s contract with his employer states that he will be paid $100,000 three years from now.

Currently, the “basket of goods” used to measure the consumers’ price index costs $125. Sue expects to receive a cash flow in four years that will allow her to purchase 100 of these baskets. This can be represented by a real cash flow.

Are real cash flows the same as present values?

No! Which would you prefer to receive, $1,250 today (which can buy 10 “baskets of goods”) or a dollar amount in 5 year that will buy 10 “baskets of goods” then? The $1,250 today is preferred even though, in terms of purchasing power, both payments give the same purchasing power. Since the $1,250 today is preferred, the two cash flows cannot have the same present value.

8 How do we discount real cash flows?

Consider the basket of goods that costs $125 today. Suppose inflation is expected to be 5% each year for the next 5 years. How much, in real dollars, do we need to be able to purchase 10 baskets in 5 years? Let this be our real cash flow How much, in nominal dollars do we need to be able to purchase the same 10 baskets in 5 years? This must be the equivalent nominal cash flow What is the relation between the real and nominal cash flow? (be exact – formula?)

Discounting real vs. nominal cash flows (continued) If the relevant discount rate for the nominal cash flow is 12%, then what is its PV today? What discount rate applied to the real cash flow would get the same PV today? What is the relation between the real discount rate and the nominal discount rate? (be exact – formula?)

9 Conclusions on real and nominal cash flows

It is possible to express any cash flow as either a real amount or a nominal amount. Since the real and nominal amounts are equivalent, the PV’s must be equivalent, so remember the rule:

Use of real cash flows

If a project’s cash flows are expected to grow with inflation, then it may be more convenient to express the cash flows as real amounts rather than trying to predict inflation and the nominal cash flows.

10 Taxes: the basics

Unfortunately, in most civilized countries both corporations and individuals must pay tax on income and profits. Tax is a cash outflow (yes, really). So we must include taxes in our capital budgeting analysis.

Calculating tax effects from non-financing components of the .

Recall the income Revenues $1,000 statement you learned about in accounting … $600 Whatever affects the Gross Margin $400 income statement Selling, general, and $125 amounts will also affect the taxes paid. admin expenses *Assume depreciation here R&D expense $50 is what is recognized for tax Depreciation Expense* $100 purposes. In Canada, this is called capital cost Interest Expense** $25 allowance, CCA. **The interest expense is Earnings Before Tax $100 financing related, so Tax (at 40%) $40 interest and its tax effect should be removed from Earnings after Tax $60 our analysis. ()

11 Tax consequences and after tax cash flows (assume a tax rate, Tc, of 40%) Item Before-tax Before-tax After-tax amount cash flow cash flow

Revenue Rev Rev =Rev(1-Tc) $10 $10 =$10(1-.4) =$6

Expense Exp -Exp =-Exp(1-Tc) $10 -$10 =-$10(1-.4) =-$6

CCA CCA $0 =+CCA•Tc $10 =+$10 •0.4 =+$4

Yearly cash flows after tax

Normally we project yearly cash flows for a project and convert them into after-tax amounts. CCA deductions are due to an purchase for a project. CCA is calculated as a % of the Undepreciated Capital Cost (UCC). Since a % amount is deducted each year, the UCC will never reach zero so CCA deductions can actually continue even after the project has ended (and thus shelter future income from taxes). All CCA-caused tax savings should be recognized as cash inflows for the project that caused them.

12 CCA Preview – read thoroughly for next class

Read the assigned sections of Chapter 7, then pay particular attention to the following: See table 7.3 and accompanying text in the chapter for an example of CCA and UCC calculations. See table 7.7 and accompanying text in the chapter for the corresponding CCA tax shields and the PV of the tax savings due to CCA. Equation 7.6, p. 203, allows us to calculate the sum of the present values of all CCA tax shields and includes an adjustment in case the asset is sold (and reduces future CCA deductions). This equation, although complicated looking, is nothing more than the PV of one declining perpetuity minus the PV of a second declining perpetuity.

Summary and Conclusions

All relevant cash flows for a project must be included in the capital budgeting analysis for a project. Relevant cash flows are those that change as a result of accepting the project. We exclude things that don’t change. We also exclude interest charges or financing expenses because these are accounted for in the discount rate. Tax effects must also be included. CCA is a special case to consider because the tax savings may continue beyond the end of the project. Once we have all after-tax cash flow effects projected, we can conduct our analysis of a project using our preferred methods: NPV, IRR, or PI; Payback may also be used but its oversimplification should be recognized.

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