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00025B Stock valuation
创建日期：2024-05-24 17:21:18
所属分类：金融Finance
标签： 00025B
Stock valuation

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CRICOS code 00025B

Stock valuation (2)

What is free cash flow?
• Cash flows into the company as it sells its products or provide services
• Cash flows out as it pays its cash operating expenses (e.g.. salaries and taxes, admin costs)
• Then the firm takes the leftover cash and makes short-term net investments in working capital
(e.g. inventory and receivables) and long-term net investments in property, plant and
equipment (PP&E).
• Remaining cash is free cash flow to the firm (FCFF) and available to pay out to the firm’s
investors
- Bondholders
- Shareholders
• The cash that is left after the firm has met all its obligations to other investors is free cash
flow to equity (FCFE).
Free cash flow model
2
CRICOS code 00025B
 Firm value = FCFF discounted at the WACC
 Equity value = FCFE discounted at the required return on equity
 Equity value = firm value – market value of debt
Why use free cash flow model?
• Many firms pay no, or low, cash dividends.
• Dividends are paid at the discretion of the board of directors, hence may be poorly aligned with
the firm’s long-run profitability.
• Free cash flows may be more related to long-run profitability of the firm as compared to
dividends.
Free cash flow model
3
CRICOS code 00025B
Calculate FCFF from net income
FCFF = NI + [Interest*(1 – tax rate)] + NCC – FCInv – WCInv
NCC: non cash charge
- Added back to net income because they represent expenses that reduced reported net
income but didn’t actually result in an outflow of cash.
- Depreciation and amortisation
FCInv: Fixed capital investment
- Investments in fixed capital do not appear on the income statement, they do represent cash
leaving from the firm.
- FCInv = capital expenditure – proceeds from sales of long-term assets
WCInv: working capital investment
- Investment in net working capital.
Free cash flow model
[Presentation Title] [Date] 4
CRICOS code 00025B
 Calculate FCFF from EBIT and EBITDA
 FCFF = EBIT(1-tax rate) + Dep – FCInv – WCInv
 FCFF = EBITDA(1-tax rate) + Dep*tax rate – FCInv – WCInv
 Calculate FCFE directly from FCFF
 FCFE = FCFF – [Interest*(1 – tax rate)] + net borrowing
 Net borrowing = new debt issues – debt repayments
 Free cash flow valuation model
 Single stage constant growth model
 Two, three or multi-stage model
Free cash flow model
5
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CRICOS code 00025B
Free cash flow model
6
where market value of equity and debt is applied
• Firm value is the present value of expected free cash flow to the firm (FCFF), discounted
at the weighted average cost of capital (WACC).
• Replacing FCFF and WACC using FCFE and required return on equity, respectively gives
the equity value.
• Equity value is firm value less the market value of debt.
• Under consistent assumptions about growth and capital structure, DDM and FCFF provide
exactly the same valuation.
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k
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kWACC de  1
CRICOS code 00025B
• Firm value assuming constant growth in the terminal state
Free cash flow to the firm model (2)
7
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CRICOS code 00025B
Example:
Zoe Ltd had a net profit margin of 25% on revenues of $30 million this year. Fixed capital
investment was $3million. Depreciation was also $3 million. Working capital investment is 7.5%
of total sales. Net income, fixed capital investment, depreciation, interest expense, and sales
are expected to increase at 10% per year for the next three years, after which, the growth will be
stable at 4% per year. Tax rate is 40% and the company has 1 million shares outstanding. The
company’s long term debt has market value of $30million. Interest rate is 10%. What is the firm
value and the firm’s equity value. Use FCFF model and assume WACC is 18% during the high-
growth stage and 13% during the stable stage.
Free cash flow
8
CRICOS code 00025B
Residual income
• The net income of a firm less a charge that measures stockholders’ opportunity cost of capital.
• Recognises the cost of equity capital in the measurement of income.
• Explicitly deducts all capital costs, unlike accounting net income which only deducts cost of
debt.
Et = expected EPS for year t
ke = required return on equity
Bt-1 = book value of equity in year t –1
Residual income model
9
11 )()(   tetett BkROEBkERI
CRICOS code 00025B
 Equity value is the book value of equity plus the present value of expected residual income.
 Residual income is the excess earnings above what would be earned if the book value of
equity earned a return just equal to the cost of equity capital.
 Book value of equity is typically well below market value of equity, so it is usual to expect
positive residual income.
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关键词一 关键词二 关键词三 关键词四 关键词五 和法规和的发更好的风格和 ECON 615 FINC 612 CSC148 COMP 639 ACCT 203 ACCT 211 PSYC 101 MTH2009 COMP52315 PSYCO 432 statistics MATH4063 11 xxx 1 MA1MSP MAST30028 MATH3888 CS341 EEE30002 ES2F5 MCD4160 CC0933 ECON 1101 MCHM3001 CHEM3118 COMMGMT 2511 COMP41280 STAT 631 24T1 IRE379 SENG365 ECON433 FIT3139 MATH4602 LING5621M FINS5516 ECON3208 MN2177 L2 SM EEET1415 Finance DS4023 COMP3004 7CCSMRTS K1S5B6 Stat230 CSCI4211 CSI2132 ECON30130 MAS6100 ENVS222 COM2107 INFO1112 STAT 4004 FIT2100 comp2022 COMP4691 Physics 307 Econ 659 probability CSCI316 fir29 CSCI203 COMP3160 COMP6714 INFO1113 Physics 7B Physics Photonics S203031 STAT2005 COMP90015 CSCI 2110 CSCC46 Information CSC477 COMP4650 Statistical COMP 346 COMP1017 ELEC340 MATH1007 Programming function STAT 244 CS 134 Java cse13s Math 108A FW20 ECON3389 CSE 130 Science 331 COMP9020 engineering COSC 445 CSE 5523 GAME2012 visualization MATH 235 Math 370 CSC343 COGS 108 EE524 COMP10200 STAT 416 3FK4 MSCI 311 ECON6113 ACC40700 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