Firm valuation (2) Class 7 Financial Management,

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Firm valuation (2) Class 7 Financial Management, 15.414

Today Firm valuation x Free cashflows x Profitability, financial ratios, and terminal value Reading x Brealey and Myers, Chapter 12.4 12.6 x Wilson Lumber Co.

Two approaches Firm valuation Focus on cashflows to equityholders Equity = PV of dividends Useful with moderate growth, constant payout ratio Focus on cashflows generated by assets Assets = PV of free cashflows More general, because cashflows may not be paid out Equity = assets debt 3

Balance sheet Assets Liabilities and Equity Current Assets Current Liabilities Long-Term Debt Fixed Assets 1. Tangible fixed assets 2. Intangible fixed assets Shareholders Equity Value = PV(FCFs) Value = Debt + PV(divs) 4

FCF approach Asset value PV of assets = FCF 1 1r FCF 2 (1 r) 2... FCF H (1 r) H Term. value H (1 r) Free cashflow Cash generated by the assets after all reinvestment FCF = EBIT (1 W) + depreciation 'NWC CAPX FCF = EBIT (1 W) 'Net assets FCF = Operating cashflow (before interest) CAPX 5

Working capital Assets Current assets cash accounts receivable inventory Long-term assets equipment buildings land intangibles Liabs. and equity Current liabilities accounts payable Long-term debt bank loans bonds Equity common stock retained earnings Net assets = Total assets current liabilities (excl. s-t debt) 6

Sustainable growth 16% 12% Cash deficits g > g* Plowback 70% Growth 8% Plowback 30% 4% 0% Cash surpluses g < g* 1.0% 5.0% 9.0% 13.0% 17.0% 21.0% 25.0% Return on equity 14

Forecasting Sustainable growth Long-run growth = sustainable growth Faster in the short run, but not forever Forecast must be internally consistent Growth forecasts should be consistent with payout policy and profitability CitiBank financial goals, 1988 Growth: 15% ROE: 18% Payout: 30% Leverage ratio (debt / assets): 95% Are these goals feasible? 15

Time Warner, 1989 Warner Communications ($ million) Cashflow projections 1989 1990 1991 1992 1993 1994 Oper. income $770 893 1,145 1,320 1,482 1,655 Taxes -193-246 -458-528 -593-662 After-tax income 577 647 687 792 889 993 Depreciation 228 245 270 271 271 273 Deferred taxes -7 0 172 198 222 248 CAPX -336-225 -180-177 -183-188 ' in NWC 5-80 -80-80 -80-80 Miscellaneous -416-15 -5-3 -3-3 Free cashflow $52 572 863 1,001 1,117 1,243 Source: Lazard Freres (advisor to Warner) 16

Firm valuation Discount rate = 11.5% Time Warner FCF 1 FCF 2 FCF 3 FCF H Term. value Firm value =... 1r (1 r) 2 (1 r) 3 (1 r) H (1 r) H 52 572 863 1,243 T.V. =... 1.115 1.115 2 1.115 3 1.115 6 1.115 6 Equity value = Firm value Debt ($970 million) Terminal value three ways Constant growth Multiples (financial ratios of comparable firms) NPVGO 17

Terminal value 1 Constant growth Forecasted growth after 1994 = 5% 1,243 u 1. 05 Terminal value = FCF 1995 r g 0. 115 0. 05 = $20,079 million Is the forecast internally consistent? Projected earnings = $993; projected book equity = $5,055 Reinvestment = CAPX Depr. + 'NWC = 188 273 + 80 = $5 million g* = ROE u plowback = (993 / 5,055) u (-5 / 993) = 0% 18

Time Warner, 1989 Warner Communications ($ million) Cashflow projections 1989 1990 1991 1992 1993 1994 Oper. income $770 893 1,145 1,320 1,482 1,655 Taxes -193-246 -458-528 -593-662 After-tax income 577 647 687 792 889 993 Depreciation 228 245 270 271 271 273 Deferred taxes -7 0 172 198 222 248 CAPX -336-225 -180-177 -183-188 ' in NWC 5-80 -80-80 -80-80 Miscellaneous -416-15 -5-3 -3-3 Free cashflow $52 572 863 1,001 1,117 1,243 Source: Lazard Freres (advisor to Warner) 19

Financial ratios Multiples of comparable firms P/E ratio Price-to-cashflow Price-to-sales Market-to-book equity Determinants of P/E and M/B Terminal value 2 1 ª price º P/E u r «price NPVGO¼» payout M/B = (r / ROE) plowback Higher if NPVGO is large 20

350 P/E ratios, Dec. 1998 300 250 Histogram All U.S. stocks 200 150 100 50 0 0 4 9 13 18 22 27 31 36 40 45 49 P/E ratio 21

800 B/M ratios, Dec. 1998 700 600 500 Histogram All U.S. stocks 400 300 200 100 0-0.5-0.1 0.3 0.7 1.1 1.5 1.9 2.3 2.7 3.1 B/M ratio 22

Financial ratios Terminal value 2 P/E ratio Comparables P/E = 18 Earnings 1994 = 993 Terminal value = 18 u 993 = $17,874 M/B ratio Comparables M/B = 2.79 BV1994 = 5,055 Terminal value = 2.79 u 5,055 = $14,103 23

Zero NPVGO Terminal value 3 How much will Warner be worth if its competitive advantage is eliminated by 1994? (Sustainability question in strategy) NPVGO = 0 Value = EPS / r Earnings 1994 = 993 Terminal value = 993 / 0.115 = $8,635 24

Debt = $970 million Time Warner 52 572 863 1,243 T.V. Firm value =... 1.115 1.115 2 1.115 3 1.115 6 1.115 6 Terminal Firm Equity Per Approach Value Value Value Share Constant growth $20,079 P/E 17,874 M/B 14,103 Zero NPVGO 8,635 Actual offer = $70 / share $13,522 $12,552 $65.89 12,374 11,404 59.86 10,412 9,442 49.56 7,566 6,596 34.62 25

Time Inc. stock price, 1989 $190 180 170 160 150 140 130 120 110 100 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 26