# Valuing Companies. Katharina Lewellen Finance Theory II May 5, 2003

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1 Valuing Companies Katharina Lewellen Finance Theory II May 5, 2003

2 Valuing companies Familiar valuation methods Discounted Cash Flow Analysis Comparables Real Options Some new issues Do we value assets or equity? Terminal values (liquidation, going concern) Minority interests, controlling interests 2

3 DCF Analysis WACC method: Forecast expected FCF Estimate WACC Compute PV APV method: Forecast expected FCF Estimate k A Compute PV Add PV(Tax Shield) 3

4 Value Assets or Equity? DCF methods give you the value of the whole firm (D + E) or Enterprise Value. E.g., you are founding a new firm: you will receive D from creditors and E from shareholders. Often, you need to value the Equity Value in an existing firm E.g., M&A, IPOs You need to subtract the value of its existing debt D Also, need to add the value of control when valuing a controlling equity position (more on this later). 4

5 Terminal Values In valuing long-lived projects or ongoing businesses, we don t typically forecast every year of cash flow forever. Forecast FCF until it is reasonable (or best guess) to think that the project or company is in steady state. Typically, assume: either the company is liquidated; or FCF is a growing, flat, or declining, perpetuity; Note: The forecast horizon will depend on firm and industry. 5

6 Terminal Value in Liquidation 1) Salvage value (SV): CF that the firm receives from liquidating its assets SV = Liquidation price - Liquidation costs The firm is taxed on (SV PPE) so that overall it gets SV*(1- t) + t*ppe 2) Net Working Capital Recouped NWC at project end (i.e., last NWC = last WC) 6

7 Remarks In principle, you would like NWC s actual value, not book value. These might differ for instance: cannot recoup full A/R, Inventory sells over or below book value etc. Liquidation value tends to underestimate TV unless liquidation is likely. Useful as a lower bound. 7

8 Terminal Value as Perpetuity No-growth perpetuity TV = FCF T+1 / k For a no-growth firm, we can assume (for simplicity) FCF = EBIT(1-t) + Depreciation CAPX NWC TV = EBIT(1-t) T+1 / k 0 0 8

9 Terminal Value as Growing Perpetuity PV in year t of a perpetuity growing at a rate g TV = FCF T+1 / (k g) For a growing perpetuity, we can assume (for simplicity) FCF = EBIT(1-t) + Depreciation CAPX NWC TV = [EBIT(1- t) T+1 g*na T ] / (k - g) - NA = -g*na prior year (1+g)EBIT(1-t) T 9

10 Terminal Value as Perpetuity (Summary) T T+1 TV FCF FCF T+1 / k FCF T+1 / (k g) EBIT(t-1) EBIT(t-1) - NA No growth g g*na T 10

11 Remarks Growing perpetuity - assumptions Net assets grow at the same rate as profits NA is a good measure of replacement costs Don t forget to discount TV further to get PVTV In WACC method, k=wacc IN APV method, k=k A for FCF and appropriate rate for TS 11

12 Example You are considering the acquisition of XYZ Enterprises. XYZ s balance sheet looks like this as of today (year 0). Assets Liabilities Current assets 50 Current liabilities 20 Plant 50 Debt 30 Net worth 50 Total 100 Total 100 Projections: Year 1 Year 2 Year 3 Year 4 Year 5 Sales EBIT NWC Depreciation CAPX

13 Example (cont.) What is the value of XYZ s stock under the following assumptions: 1) XYZ is liquidated after year 5 (assuming zero salvage value). 2) Sales growth and EBIT/Sales ratios are (past year 5): Sales growth EBIT/Sales 5% 10% 0% 10% 5% 5% 0% 5% Tax rate = 34%, and WACC = 13%. 13

14 Example (cont.) Start by estimating FCF over 5 years: NWC(year 0) = Current assets - current liabs = 50-20=30 FCF = EBIT(1 - t) + Dep - CAPX - NWC Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 EBIT EBIT(1-t) NWC NWC Depreciation CAPX FCF %

15 Example Liquidation Value (LV) 1) Liquidation value (LV) t*ppe(year 5) + NWC(year 5) PPE(year 5) = PPE(year 0) + all CAPX - all Dep from year 0 to 5 PPE = 80 PPE * t = 80 * 34% = 27.2 LV = = 75.2 ==> PVLV = 75.2/(1.13) 5 = 40.8 Firm value = = 63.5 Equity value = Firm value - MV of Debt = =

16 Example (cont.) For 2) to 5), we need EBIT (year 6) and NA (year 5) to apply TV = [EBIT(year 6)(1 - t) - g*na(year 5)]/[k - g] EBIT(year 6) = fraction α of Sales(year 6) = α*(1 + g)*sales(year 5)= α*(1 + g) *293 NA(year 5) = NA(year 0) +all CAPX -all Dep +all NWC from 0 to 5 = 128 PVTV = TV/(1.13) 5 16

17 Example (cont.) α g TV PVTV Firm Equity 2) 10% 5% ) 10% 0% ) 5% 5% ) 5% 0%

18 When is Growth Valuable? TV (with growth) > TV (w/o growth) (1+ g) EBIT(1 t) g NA EBIT(1 t) > k g k EBIT*(1 - t) - k*na > 0 (1+ g) EBIT(1 t) g NA EBIT(1 t) > k g k [(1+ g) EBIT(1 t) g NA] k > EBIT(1 t) ( k g) EBIT(1 t) k > NA 1+ k k 18

19 Economic Value Added (EVA) EVA = EBIT*(1 - t) - k*na Intuition: Growth is good when the cost of increasing NA is more than compensated by the capitalized increase in EBIT*(1 - t). 19

20 Remarks EVA is a particular incarnation of NPV (+ some assumptions) Appeal of EVA coherent measure for Capital budgeting, Performance evaluation and Managerial compensation. Assumes linear relationship between NA and EBIT*(1 - t) EVA has nothing to do with sustainable growth: Sustainable growth rate answers How fast can I grow without increasing my leverage ratio or issuing equity? It has nothing to say about whether growing is good or not. 20

21 EVA: Bottom Line Use EVA as... a simple measure to determine whether the business is generating value and whether growth is enhancing value as a way of setting goals to enhance value Beware of EVA for... young companies companies in rapidly changing business environments companies where book values are not accurate measures of replacement costs 21

22 DCF Analysis: Pros and Cons Strengths CF comes from specific forecasts and assumptions Can see impact of changes in strategies Valuation tied to underlying fundamentals Weaknesses CF only as good as your forecasts/assumptions Might forget something Need to forecast managerial behavior (unless you re in control) Need to estimate the discount rate using a theory (e.g., CAPM) that may be incorrect or imprecise in this particular case 22

23 Multiples Assess the firm s value based on that of publicly traded comps. Cash-flow-based Value multiples: MV of firm/earnings, MV of firm /EBITDA, MV of firm /FCF Cash-flow-based Price multiples: Price/Earnings (P/E), Price/EBITDA, Price/FCF Asset-based multiples: MV of firm/bv of assets, MV of equity/bv of equity 23

24 Procedure Hope: Firms in the same business should have similar multiples (e.g., P/E). STEP 1: Identify firms in same business as the firm you want to value. STEP 2: Calculate P/E ratio for comps and come up with an estimate of P/E for the firm you want to value (e.g. take the average of comps P/E). STEP 3: Multiply the estimated P/E by the actual Net Income of the firm you want to value. 24

25 Motivation for Multiples? Assumption 1: Comps actual FCF are a perpetuity MV = FCF WACC g MV FCF = 1 WACC g Assumption 2: Comps have the same WACC (requires similar D/(D+E)) Comps are growing at a similar rate g 25

26 Motivation for Multiples? Assumption 1: E = CF to shareholders E is a perpetuity P = k E E g P E = k 1 E g Assumption 2: Comps have the same k E => This requires similar leverage! Comps are growing at a similar rate g 26

27 Remarks For firms with no earnings or limited asset base (e.g. hi-tech), price-to-patents multiples, price-to-subscribers multiples, or even price-to-ph.d. multiples! Since these are rough approximations (at best) One may want to check different multiples See if some multiples are quite constant across firms 27

28 Example: Valuing ADI EBIT tax rate Net income BV equity BV liabs # shares ADI (Dec. 1995) % ADI Burr-Brown Linear Techno. Maxim Integrated Products Siliconix Motorola Mean w/o ADI ROE 18.2% 16.3% 25.5% 23.4% 26.8% 16.1% 21.6% Liabs/Assets 34.5% 29.0% 16.9% 22.1% 56.6% 51.5% 35.2% 5-year growth in sales 14.3% 9.9% 32.2% 43.1% 14.0% 20.3% 23.9% P/E (D+E)/EBIT(1-t) Market-to-Book equity Market-to-Book firm

29 Example (cont.) There is no exact science to come up with appropriate multiples. The following is only an example. Need experience and guts. ADI s 5-year sales growth is less than average Shade down estimate of P/E and (D+E)/EBIT*(1 - t) w.r.t. mean P/E = 20.9*(1-15%) = 17.8 (D+E)/EBIT*(1 - t) = 23.1*(1-15%) = 19.6 ADI s ROE is less than average Shade down estimate of M/B equity and M/B firm w.r.t. mean M/B equity = 4.6*(1-15%) = 3.9 M/B firm = 3.5*(1-15%) =

30 Example (cont.) (D+E) / P/E M/B Equity M/B Firm EBIT(1-t) 1) Comps ratio (X / Y) NI EBIT(1-t) BV Equity BV Firm 2) Actual (Y) ) MV Firm (Ratio * Y) ) MV Equity (Ratio * Y or MV Firm - Debt) 5) Price (MV Equity / #shares)

31 Comparables: Pros and Cons Pros: Simple + lots of information Market consensus about discount rate and growth rate. Free-ride on market s information. Cons: Assumes that companies are alike in growth, costs of capital, business composition, leverage Hard to find true comps Hard to incorporate firm specific information Accounting differences If everyone uses comps, who actually does fundamental analysis? 31

32 Comps & the Conglomerate Discount Is the value of a conglomerate equal to the sum of its parts? Calculate Firm Value / Assets for the conglomerate For each of its business segments (in annual report), calculate median Firm Value / Assets for single segment firms in that industry Add up these comps, weighting by the share of the conglomerate s assets in that industry Result: On average, conglomerates are worth 12% less than the sum of their parts. 32

33 Possible Interpretations Conglomerates are an inefficient form of organization The stock market doesn t get it The comparables method doesn t work 33

34 Distribution of Price / Sales ratios for Internet stocks (March 2000) 35% 30% Internet Stocks 25% % of firms 20% 15% 10% 5% 0% Price / Sales 34

35 Distribution of Price / Sales ratios for all stocks (March 2000) 50% 40% All Stocks % of firms 30% 20% 10% 0% Price / Sales 35

36 Internet stocks and selected high-tech stocks (March 2000, in \$billions) Internet Cisco Intel IBM Microsoft Equity MV Equity BV Sales Gross Profits NI M/B Equity MV Equity / Sales MV Equity / Profits

37 What growth and margin assumptions would have justified Internet valuation in March 2000? Short-run Years of high growth rate growth Value (\$billions) Panel A: Profit margin = 5% 20% % Panel B: Profit margin = 10% 20% % Assumptions: Discount rate = 10%, long-term growth = 6% 37

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