Three Stage Growth Model

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    Three stage Growth

    Model

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    Discounted Cash Flow Method

    Valuing a firm using the discounted cash

    flow approach calls for forecasting cash

    flows over an indefinite period of timefor an entity that is expected to grow.

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    VALUE OF THE FIRM

    Present value of cash flow during an explicit

    forecast period

    +

    Present value of cash flow after the explicit

    forecast period.

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    DCF APPROACH

    DCF model deals with the year to year

    forecasts which permits any kind of variation

    in any item from year to year but when such

    detailed forecasts are not available than

    simplified version of DCF approach are used :

    Two stage growth model

    Three stage growth model

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    TWO STAGE GROWTH MODEL

    Value of the firm =

    Present value of the FCF during the high growth phase

    +

    Present value of the terminal value.

    In corporate finance, free cash flow (FCF) is cash

    flowavailable for distribution among all the securitiesholders of an organization. They include equity

    holders, debt holders, preferred stock holders,

    convertible securityholders, and so on.

    http://en.wikipedia.org/wiki/Corporate_financehttp://en.wikipedia.org/wiki/Cash_flowhttp://en.wikipedia.org/wiki/Cash_flowhttp://en.wikipedia.org/wiki/Stockhttp://en.wikipedia.org/wiki/Debthttp://en.wikipedia.org/wiki/Preferred_stockhttp://en.wikipedia.org/wiki/Convertible_securityhttp://en.wikipedia.org/wiki/Convertible_securityhttp://en.wikipedia.org/wiki/Convertible_securityhttp://en.wikipedia.org/wiki/Convertible_securityhttp://en.wikipedia.org/wiki/Preferred_stockhttp://en.wikipedia.org/wiki/Preferred_stockhttp://en.wikipedia.org/wiki/Preferred_stockhttp://en.wikipedia.org/wiki/Debthttp://en.wikipedia.org/wiki/Stockhttp://en.wikipedia.org/wiki/Cash_flowhttp://en.wikipedia.org/wiki/Cash_flowhttp://en.wikipedia.org/wiki/Cash_flowhttp://en.wikipedia.org/wiki/Corporate_financehttp://en.wikipedia.org/wiki/Corporate_financehttp://en.wikipedia.org/wiki/Corporate_finance
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    THREE STAGE GROWTH

    MODEL

    It assumes that :

    1. The firm will enjoy a high growth rate for thecertain period usually 3 to 7 years.

    2. The higher growth period will be followedby transition period during which growth ratewill decline in linear increment.

    3. The transition period will be followed by astable growth forever.

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    VALUE OF THE FIRM

    Present Value of FCF during the high growthperiod

    +

    Present Value of FCF during the transitionperiod

    +

    Present Value of the terminal period.

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    Example

    Assume the following for IBM:

    Required rate of return is 12%

    Current dividend is $0.55 Growth rate and duration for phase one are 7.5%

    for two years

    Growth rate and duration for phase two are 13.5%

    for the next four years

    Growth rate in phase four is 11.25% forever

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    Time Value Calculation Dtor Vt

    Present values

    Dt/(1.12)tor

    Vt/(1.12)t

    1 D1 0.55(1.075) 0.5913 0.5279

    2 D2 0.55(1.075)2 0.6356 0.5067

    3 D3 0.55(1.075)2(1.135) 0.7214 0.5135

    4 D4 0.55(1.075)2(1.135)

    20.8188 0.5204

    5 D5 0.55(1.075)2(1.135)

    3 0.9293 0.5273

    6 D6 0.55(1.075)2(1.135)

    4 1.0548 0.5344

    6 V6 0.55(1.075)2(1.135)4(1.1125)/(.12.1125) 156.4620 79.2685

    Total 82.3897

    Terminal Value = Cash Flow/WACC- G

    WACC : Weighted average cost of capital

    G : growth rate.

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    Strengths of three stage growth

    model

    Can accommodate a variety of patterns offuture dividend streams.

    Even though they may not replicate the future

    dividends exactly, they can be a usefulapproximation.

    The expected rates of return can be imputed by

    finding the discount rate that equates thepresent value of the dividend stream to thecurrent stock price.

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    Using a model forces the analyst to specify

    assumptions (rather than simply using

    subjective assessments). This allows analysts

    to use common assumptions, to understand thereasons for differing valuations when they

    occur, and to react to changing market

    conditions in a systematic manner

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    Thank you