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Equity Valuation

Chetan G. Shah, CFA
The Valuation Process…
• Understanding the business: industry structure &
  attractiveness, demand-supply & long term prospects,
  competitive position and corporate strategies (Porter 5 forces).
• Forecasting company performance: relevant
  economic & industry variables, company sales, earnings,
  financial position and free cash flows.
• Selecting the appropriate valuation model –
  going concern, liquidation, operating & non-operating parts,
  intrinsic value and relative valuations. Should be consistent with
  the characteristics of the company, ownership perspective
  (majority or minority) and appropriate given the availability &
  quality of data.
• Making investment decision, e.g. ex ante alpha and
  ex post alpha returns.
Valuations: Approaches
• Absolute valuations: discounted cash flows
  where the cash flows could be dividends, free cash
  flow to firm or equity (FCFF or FCFE)
• Relative valuations: P/E (trailing or leading), P/B,
  P/S, EV/EBITDA, Replacement value like EV/Ton
  for cement & steel businesses. Company multiples
  vs. industry peers or some benchmark on like to
  like basis.
• Residual income: which is present book value
  plus the future stream of residual income which is
  net profit less equity charge.
Valuation: Absolute
                                  Discounted cash flows:

                                             ∞
                                                  CFt
                    Dividends         V0 = ∑                              FCFE
                                           i =1 (1 + r )
                                                         t



        n
               D      P                                 FCFF
   V0 = ∑ t t + n n                                                                 ∞
                                                                                          FCFEt
        t =1 (1+ r) (1+ r)                                             ValueEquity = ∑
                                                  ∞
                                                            FCFFt                         (1 + r )t
                                    ValueFirm = ∑
                                                                                   i =1

            ∞
                      Dt                         i =1   (1 + WACC )t
    V0 = ∑
            t =1   (1 + r )t

              D0 (1 + g )   D         ValueEquity = ValueFirm − MarketValueDebt
     V0 =                 = 1
               r−g         r−g

Gordon Growth
Model
Computing FCFF

 FCFF = Net income available to common shareholders
         Plus: Net non-cash charges (like depreciation, deferred taxes)
         Plus: Interest expense x (1-Tax rate)
         Less: Investment in fixed capital (FCInv)
         Less: Investment in working capital (WCInv)

  FCFF = NI + NCC + Int (1 − TaxRate) − FCInv − WCInv

  FCFF = CFO + Int (1 − TaxRate) − FCInv

  FCFF = EBIT (1 − TaxRate) + Dep − FCInv − WCInv

  FCFF = EBITDA(1 − TaxRate) + Dep (TaxRate) − FCInv − WCInv
Computing FCFE

 Some of ways FCFE is calculated:

 FCFE = FCFF − Int (1 − TaxRate) + NetBorrowing

 FCFE = NI + NCC − FCInv − WCInv + NetBorrowing

 FCFE = CFO − FCInv + NetBorrowing
 FCFE = EBIT (1 − TaxRate) + Dep − Int (1 − TaxRate) − FCInv − WCInv + NetBorrowing

 FCFE = EBITDA(1 − TaxRate) + Dep (TaxRate) − FCInv − WCInv + NetBorrowing
DCF - Illustration using FCFF
Y/E March                                              2011      2012       2013       2014        2015       2016       2017       2018       2019       2020
No of units mn            Key assumption             10,000    10,000     18,000     26,000      31,000     36,000     41,000     46,000     51,000     51,000
ASP (Rs / units)          Key assumption               4.50      4.50       4.00       3.75        3.50       3.50       3.50       3.50       3.50       3.50
Sales (INR mn)            =A4 * A5                   45,000    45,000     72,000     97,500     108,500    126,000    143,500    161,000    178,500    178,500

EBIT margins              Key   assumption            23.5%     23.5%      20.0%      18.0%      18.0%      18.0%      17.0%      16.0%      15.0%      15.0%
Effective tax rate        Key   assumption            18.1%     18.1%      25.0%      25.0%      25.0%      25.0%      25.0%      25.0%      25.0%      25.0%
NCC / sales               Key   assumption             5.0%      5.0%       5.0%       5.0%       5.0%       5.0%       4.8%       4.5%       4.0%       4.0%
WC Inv / Sales            Key   assumption            -1.3%     -1.5%      -1.5%      -1.5%      -1.5%      -1.0%      -1.0%      -1.0%      -1.0%      -1.0%

EBIT                       = A6 * A9                 10,575     10,575     14,400     17,550     19,530     22,680     24,395     25,760     26,775    26,775
EBIT * (1-tax rate)        = A14 * (1 - A10)         11,410      8,665     10,800     13,163     14,648     17,010     18,296     19,320     20,081    20,081
NCC                       = A6 * A11                  2,250      2,250      3,600      4,875      5,425      6,300      6,816      7,245      7,140     7,140
WCInv                     = A6 * A12                   (604)      (694)    (1,080)    (1,463)    (1,628)    (1,260)    (1,435)    (1,610)    (1,785)   (1,785)
FCInv                      Forecasted                (5,000)   (10,000)   (10,000)   (10,000)   (10,000)   (10,000)   (10,000)   (10,000)   (10,000)   (5,000)
FCFF                      =A15 + A16 + A17 + A18      8,056        220      3,320      6,575      8,445     12,050     13,678     14,955     15,436    20,436

WACC                      = A33 * A29 + A34 * A26    11.82%

Risk free return         Key assumption               7.50%
Beta (Estimated)         Key assumption                 1.20              Free Cash Flow to Firm
Risk premium             Key assumption               8.00%
Discount rate for Equity = A23 + A24 * A25           17.10%               FCFF =
Yield on 10yr Corp. bond Key assumption             10.000%
Tax rate                 Key assumption              18.00%
                                                                          EBIT*(1-Tax rate)
Discount rate for debt   =A27 * (1 - A28)
Estimated debt in 2011 Forecasted
                                                      8.20%
                                                     61,250
                                                                          + Non Cash Charge (NCC)
Estimated equity in 2011 Forecasted                  41,942               – Investment in Working Capital (WCInv)
Total capital employed Forecasted                   103,192
Weight of Debt           =A30 / A32                  59.36%               – Investment in Fixed Assets (FCInv)
Weight of Equity         =A31 / A32                  40.64%
Total weight                                        100.00%

 Continued on next page
DCF - Illustration using FCFF
FCFF                    =A15 + A16 + A17 + A18      8,056    220   3,320   6,575   8,445   12,050   13,678   14,955   15,436   20,436

WACC                    = A33 * A29 + A34 * A26    11.82%

Risk free return         Key assumption             7.50%
Beta (Estimated)         Key assumption               1.20
Risk premium             Key assumption             8.00%
Discount rate for Equity = A23 + A24 * A25         17.10%
Yield on 10yr Corp. bond Key assumption           10.000%
Tax rate                 Key assumption            18.00%
Discount rate for debt   =A27 * (1 - A28)           8.20%                  Value of Equity=
Estimated debt in 2011 Forecasted                  61,250
Estimated equity in 2011 Forecasted                41,942                  Value of Firm
Total capital employed Forecasted                 103,192
Weight of Debt           =A30 / A32                59.36%                  - Value of Debt
Weight of Equity         =A31 / A32                40.64%
Total weight                                      100.00%

Present value of FCFF   =NPV(C21, D19:M19)         49,672
Terminal Value (2020)   =M19 / A21                172,934
Present value of TV     =A38 / (1+A21)^(1/10)      56,596
Enterprise Value        =A37+A39                  106,269
Debt                                               61,250
Equity value (INR mn)   =A40 - A41                 45,019
No of shares (mn)                                   472.45
Price                   =A42 / A43                  95.29




Spreadsheet models are very flexible in the sense that they provide an ability to value
any pattern of expected free cash flow.
Valuation: Relative
1) Based on Methods of Comparables…
 involves using a price multiple to evaluate whether an asset is relatively fairly valued, undervalued
 or overvalued when compared to a benchmark value of the multiple.

    Name             M-CAP                EV/EBITDA                     P/E
    Year              INR mn     1FY         2FY      3FY      1FY      2FY      3FY
    X1                  43,066      5.5         4.5      4.5     10.3      9.2      8.3
    X2                276,362      24.8        23.9     20.0     21.6     20.5     18.1
    X3                  73,324     10.6        12.1     10.8     13.3     15.1     13.0
    X4                239,775       9.4         8.1      6.5     14.3     13.7     10.7
    X5                  13,537      8.5         4.7      4.6     15.5     10.2      9.7
    Average (Peer)    129,213      11.8        10.7      9.3     15.0     13.8     11.9

    Name                         P/B                           ROE
    Year               1FY       2FY         3FY      1FY      2FY      3FY
    X1                   1.1        1.0        0.8      11.5     11.2     11.1
    X2                   2.0        1.8        1.4       9.2      8.8      7.9
    X3                   1.7        2.1        1.8      12.0     15.0     15.0
    X4                   2.3        2.0        1.7      14.6     14.5     17.8
    X5                   1.1        1.0        1.0       7.2      9.1     10.3
    Average (Peer)       1.6        1.6        1.3      10.9     11.7     12.4
Valuation: Relative
2) Based on Forecasted Fundamentals…
 An approach of relating a price multiple to fundamentals through a DCF model.




  P/E                                      P/B                               P/S
  P0 D1 / E1 1 − b                        P0 ROE − g             P0 ( E0 / S0 )(1 − b)(1 + g )
     =      =                                =                      =
  E1   r−g    r−g                         B0   r−g               S0            r−g


 P0 D0 (1 + g ) / E0 (1 − b)(1 + g )
    =               =
 E0      r−g              r−g


  Assuming stable growth, g…
Residual Income…
Residual income = Net income – Equity charge


   RI = NI − r × BVBeginning

               ∞
                     ( ROEt − r ) × Bt −1
   V0 = B0 + ∑
              t =1       (1 + r )t


 Similar to EVA concept
 Current book value forms major part of the intrinsic value
Appropriateness of model
•   DDM models are suitable for dividend paying stocks, where company has a
    discernible dividend policy that has understandable relationship to its
    profitability and investor has a minority ownership perspective.
•   FCF approaches might be appropriate when company does not pay
    dividends or dividends differ substantially from cash flows, FCF align with
    profitability or investors take a majority control perspective.
•   The residual income approach can be useful when the company does not
    pay dividends or free cash flow is negative.
•   The key idea behind the use of P/Es is that earning power is a chief driver
    of investment value.
•   EV/EBITDA maybe more appropriate than P/E for comparing companies
    with different amounts of financial leverage (debt). Frequently used for
    capital intensive business.
•   Book value is viewed as appropriate for valuing companies having mainly
    liquid assets such as those in BFSI segment. Also useful when companies
    are not expected to continue as a going concern.
Thank you

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Equity Valuation

  • 2. The Valuation Process… • Understanding the business: industry structure & attractiveness, demand-supply & long term prospects, competitive position and corporate strategies (Porter 5 forces). • Forecasting company performance: relevant economic & industry variables, company sales, earnings, financial position and free cash flows. • Selecting the appropriate valuation model – going concern, liquidation, operating & non-operating parts, intrinsic value and relative valuations. Should be consistent with the characteristics of the company, ownership perspective (majority or minority) and appropriate given the availability & quality of data. • Making investment decision, e.g. ex ante alpha and ex post alpha returns.
  • 3. Valuations: Approaches • Absolute valuations: discounted cash flows where the cash flows could be dividends, free cash flow to firm or equity (FCFF or FCFE) • Relative valuations: P/E (trailing or leading), P/B, P/S, EV/EBITDA, Replacement value like EV/Ton for cement & steel businesses. Company multiples vs. industry peers or some benchmark on like to like basis. • Residual income: which is present book value plus the future stream of residual income which is net profit less equity charge.
  • 4. Valuation: Absolute Discounted cash flows: ∞ CFt Dividends V0 = ∑ FCFE i =1 (1 + r ) t n D P FCFF V0 = ∑ t t + n n ∞ FCFEt t =1 (1+ r) (1+ r) ValueEquity = ∑ ∞ FCFFt (1 + r )t ValueFirm = ∑ i =1 ∞ Dt i =1 (1 + WACC )t V0 = ∑ t =1 (1 + r )t D0 (1 + g ) D ValueEquity = ValueFirm − MarketValueDebt V0 = = 1 r−g r−g Gordon Growth Model
  • 5. Computing FCFF FCFF = Net income available to common shareholders Plus: Net non-cash charges (like depreciation, deferred taxes) Plus: Interest expense x (1-Tax rate) Less: Investment in fixed capital (FCInv) Less: Investment in working capital (WCInv) FCFF = NI + NCC + Int (1 − TaxRate) − FCInv − WCInv FCFF = CFO + Int (1 − TaxRate) − FCInv FCFF = EBIT (1 − TaxRate) + Dep − FCInv − WCInv FCFF = EBITDA(1 − TaxRate) + Dep (TaxRate) − FCInv − WCInv
  • 6. Computing FCFE Some of ways FCFE is calculated: FCFE = FCFF − Int (1 − TaxRate) + NetBorrowing FCFE = NI + NCC − FCInv − WCInv + NetBorrowing FCFE = CFO − FCInv + NetBorrowing FCFE = EBIT (1 − TaxRate) + Dep − Int (1 − TaxRate) − FCInv − WCInv + NetBorrowing FCFE = EBITDA(1 − TaxRate) + Dep (TaxRate) − FCInv − WCInv + NetBorrowing
  • 7. DCF - Illustration using FCFF Y/E March 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 No of units mn Key assumption 10,000 10,000 18,000 26,000 31,000 36,000 41,000 46,000 51,000 51,000 ASP (Rs / units) Key assumption 4.50 4.50 4.00 3.75 3.50 3.50 3.50 3.50 3.50 3.50 Sales (INR mn) =A4 * A5 45,000 45,000 72,000 97,500 108,500 126,000 143,500 161,000 178,500 178,500 EBIT margins Key assumption 23.5% 23.5% 20.0% 18.0% 18.0% 18.0% 17.0% 16.0% 15.0% 15.0% Effective tax rate Key assumption 18.1% 18.1% 25.0% 25.0% 25.0% 25.0% 25.0% 25.0% 25.0% 25.0% NCC / sales Key assumption 5.0% 5.0% 5.0% 5.0% 5.0% 5.0% 4.8% 4.5% 4.0% 4.0% WC Inv / Sales Key assumption -1.3% -1.5% -1.5% -1.5% -1.5% -1.0% -1.0% -1.0% -1.0% -1.0% EBIT = A6 * A9 10,575 10,575 14,400 17,550 19,530 22,680 24,395 25,760 26,775 26,775 EBIT * (1-tax rate) = A14 * (1 - A10) 11,410 8,665 10,800 13,163 14,648 17,010 18,296 19,320 20,081 20,081 NCC = A6 * A11 2,250 2,250 3,600 4,875 5,425 6,300 6,816 7,245 7,140 7,140 WCInv = A6 * A12 (604) (694) (1,080) (1,463) (1,628) (1,260) (1,435) (1,610) (1,785) (1,785) FCInv Forecasted (5,000) (10,000) (10,000) (10,000) (10,000) (10,000) (10,000) (10,000) (10,000) (5,000) FCFF =A15 + A16 + A17 + A18 8,056 220 3,320 6,575 8,445 12,050 13,678 14,955 15,436 20,436 WACC = A33 * A29 + A34 * A26 11.82% Risk free return Key assumption 7.50% Beta (Estimated) Key assumption 1.20 Free Cash Flow to Firm Risk premium Key assumption 8.00% Discount rate for Equity = A23 + A24 * A25 17.10% FCFF = Yield on 10yr Corp. bond Key assumption 10.000% Tax rate Key assumption 18.00% EBIT*(1-Tax rate) Discount rate for debt =A27 * (1 - A28) Estimated debt in 2011 Forecasted 8.20% 61,250 + Non Cash Charge (NCC) Estimated equity in 2011 Forecasted 41,942 – Investment in Working Capital (WCInv) Total capital employed Forecasted 103,192 Weight of Debt =A30 / A32 59.36% – Investment in Fixed Assets (FCInv) Weight of Equity =A31 / A32 40.64% Total weight 100.00% Continued on next page
  • 8. DCF - Illustration using FCFF FCFF =A15 + A16 + A17 + A18 8,056 220 3,320 6,575 8,445 12,050 13,678 14,955 15,436 20,436 WACC = A33 * A29 + A34 * A26 11.82% Risk free return Key assumption 7.50% Beta (Estimated) Key assumption 1.20 Risk premium Key assumption 8.00% Discount rate for Equity = A23 + A24 * A25 17.10% Yield on 10yr Corp. bond Key assumption 10.000% Tax rate Key assumption 18.00% Discount rate for debt =A27 * (1 - A28) 8.20% Value of Equity= Estimated debt in 2011 Forecasted 61,250 Estimated equity in 2011 Forecasted 41,942 Value of Firm Total capital employed Forecasted 103,192 Weight of Debt =A30 / A32 59.36% - Value of Debt Weight of Equity =A31 / A32 40.64% Total weight 100.00% Present value of FCFF =NPV(C21, D19:M19) 49,672 Terminal Value (2020) =M19 / A21 172,934 Present value of TV =A38 / (1+A21)^(1/10) 56,596 Enterprise Value =A37+A39 106,269 Debt 61,250 Equity value (INR mn) =A40 - A41 45,019 No of shares (mn) 472.45 Price =A42 / A43 95.29 Spreadsheet models are very flexible in the sense that they provide an ability to value any pattern of expected free cash flow.
  • 9. Valuation: Relative 1) Based on Methods of Comparables… involves using a price multiple to evaluate whether an asset is relatively fairly valued, undervalued or overvalued when compared to a benchmark value of the multiple. Name M-CAP EV/EBITDA P/E Year INR mn 1FY 2FY 3FY 1FY 2FY 3FY X1 43,066 5.5 4.5 4.5 10.3 9.2 8.3 X2 276,362 24.8 23.9 20.0 21.6 20.5 18.1 X3 73,324 10.6 12.1 10.8 13.3 15.1 13.0 X4 239,775 9.4 8.1 6.5 14.3 13.7 10.7 X5 13,537 8.5 4.7 4.6 15.5 10.2 9.7 Average (Peer) 129,213 11.8 10.7 9.3 15.0 13.8 11.9 Name P/B ROE Year 1FY 2FY 3FY 1FY 2FY 3FY X1 1.1 1.0 0.8 11.5 11.2 11.1 X2 2.0 1.8 1.4 9.2 8.8 7.9 X3 1.7 2.1 1.8 12.0 15.0 15.0 X4 2.3 2.0 1.7 14.6 14.5 17.8 X5 1.1 1.0 1.0 7.2 9.1 10.3 Average (Peer) 1.6 1.6 1.3 10.9 11.7 12.4
  • 10. Valuation: Relative 2) Based on Forecasted Fundamentals… An approach of relating a price multiple to fundamentals through a DCF model. P/E P/B P/S P0 D1 / E1 1 − b P0 ROE − g P0 ( E0 / S0 )(1 − b)(1 + g ) = = = = E1 r−g r−g B0 r−g S0 r−g P0 D0 (1 + g ) / E0 (1 − b)(1 + g ) = = E0 r−g r−g Assuming stable growth, g…
  • 11. Residual Income… Residual income = Net income – Equity charge RI = NI − r × BVBeginning ∞ ( ROEt − r ) × Bt −1 V0 = B0 + ∑ t =1 (1 + r )t Similar to EVA concept Current book value forms major part of the intrinsic value
  • 12. Appropriateness of model • DDM models are suitable for dividend paying stocks, where company has a discernible dividend policy that has understandable relationship to its profitability and investor has a minority ownership perspective. • FCF approaches might be appropriate when company does not pay dividends or dividends differ substantially from cash flows, FCF align with profitability or investors take a majority control perspective. • The residual income approach can be useful when the company does not pay dividends or free cash flow is negative. • The key idea behind the use of P/Es is that earning power is a chief driver of investment value. • EV/EBITDA maybe more appropriate than P/E for comparing companies with different amounts of financial leverage (debt). Frequently used for capital intensive business. • Book value is viewed as appropriate for valuing companies having mainly liquid assets such as those in BFSI segment. Also useful when companies are not expected to continue as a going concern.