Fin 449 week 2
Cash
F
low Data (
example)
CAT | HBI | DRI | CMG | BLMN | TGT | KR | WMT | COST | |||
10-k filing date | 2/13/20 | 2/19/20 | 2/5/20 | 2/11/20 | 7/24/20 | 2/26/20 | 3/11/20 | 4/1/20 | 3/20/20 | 10/7/20 | |
Year Ended… | 12/28/19 | ||||||||||
Shares Outstanding | 1,389,544,618 Michael Dimond: From 10-k, front page. Not in | millions | |||||||||
Figures in… | |||||||||||
OpInc = Operating Profit | 10,291 Michael Dimond: From Income Statement |
||||||||||
Effective Tax Rate (t) | 21% Michael Dimond: Computed from Income Statement |
||||||||||
NOPAT = OpInc x (1-t) | 8,126 Michael Dimond: Computed |
Net Operating Profit After Taxes | |||||||||
Dep & Amort Exp | 2,432 Michael Dimond: From Statement of Cash Flows |
||||||||||
OCF = NOPAT + Dep & Amort | 10,558 Michael Dimond: Computed |
Operating Cash Flow | |||||||||
ΔNOWC | 1,575 Michael Dimond: From Balance Sheet |
Change (this year minus previous year) in Net Operating Working Capital … CA – CL, but only the operating items | |||||||||
ΔGFA | 3,973 Michael Dimond: From Balance Sheet & “Note 4 — Property, Plant and Equipment and Intangible Assets” |
Change in Gross Fixed Assets … How Much Did the Company Pay For Long Term Operating Assets … Change in Net Fixed Assets, add Depreciation Expense | |||||||||
FCFF | 5,010 Michael Dimond: Computed |
Free Cash Flow to the Firm = OCF minus Reinvestment Need | |||||||||
Interest Expense, net | 935 Michael Dimond: From Income Statement |
||||||||||
5,010 Michael Dimond: From above |
|||||||||||
ΔDebt | (253) Michael Dimond: From Balance Sheet |
This year minus previous year, ST and LT items which are debt | |||||||||
Int(1-t) | 738 Michael Dimond: Computed |
Interest After Taxes | |||||||||
PfdCF | – Michael Dimond: From Statement of Shareholders’ Equity |
Pfd = Preferred, PfdCF = Preferred Cash Flow… any Cash going out to Preferred Shareholders | |||||||||
FCFE = FCFF + ΔDebt – Int(1-t) – PfdCF | 4,019 | Free Cash Flow to Equity, Equity Cash Flow…going to Common Shareholders | |||||||||
Int(t) | 197 Michael Dimond: Computed |
Tax Benefit… comes from tax savings due to interest paid | |||||||||
UCF = FCFF + Int(t) | 5,207 Michael Dimond: Computed |
Unlevered Cash Flows, used in the Adjusted Present Value Method (APV Method) |
>Guidelines
<
able> Valuation Methods: A Rough Guide
Steps: Divide by shares outstanding to find the equity value per share (intrinsic value) Ratio
Steps: Divide by shares outstanding to find the equity value per share (intrinsic value) )
years)
Divide by shares outstanding to find the equity value per share (intrinsic value) // )
Model the expected future cash flows for the explicit forecast period (e.g. 5 years) Add the market value of any non-operating assets which were excluded from CF computations ) Method (FCFF// + TS//Ku)
Steps: * tax rate)
Add the market value of any non-operating assets which were excluded from CF computations 5.78
.50
%
Equity intrinsic value Equity intrinsic value 1 2 3 4 5 Market value of non-operating assets Forecast Year: 1 2 3 4 5 Terminal value Market value of debt Forecast Year: 1 2 3 4 5 Terminal value Terminal value Market value of debt
2
t
Basic
General Definitions
Firm Value = Operating Assets + Non-Operating Assets = Equity + Debt
Enterprise Value = Debt + Equity – Non-Operating Assets = Operating Assets
Equity Value = Operating Assets + Non-Operating Assets – Debt = Firm Value – Debt =Enterprise Value + Non-Operating Assets – Debt
Always use market values in computing the values above
Free cash flow = Cash flow available to meet the needs of lenders and the wants of investors
Free cash flow for the firm = A variation on free cash flow, eliminating the non-operating items
Free cash flow for equity = Cash flow available to meet the wants of investors in common equity: FCFE
The cash flows can be tied to the claimants in the same way the balance sheet is organized: CF for Assets = CF for Debt + CF for Equity
Relative valuation (using multiples)
P/E Ratio
Steps:
Find the “comparable” ratio of stock price to earnings per share for the subject company
Find earnings available to common shareholders for the subject company
Multiply P/E ratio times earnings available to common shareholders to find the implied equity value
Divide by shares outstanding to find the equity value per share (intrinsic value)
P/S Ratio
Find the “comparable” ratio of stock price to revenue per share for the subject company
Find revenue for the subject company
Multiply P/S ratio times revenue to find the implied equity value
EV/
EBITDA
Find the “comparable” ratio of enterprise value to EBITDA for the subject company
Find EBITDA for the subject company
Multiply EV/EBITDA ratio times EBITDA to find the value of operations (i.e. Enterprise Value)
Add the market value of any non-operating assets
Subtract the market value of debt
Discounted cash flow valuation
Equity CF Method (FCFE//
Ke
Determine Free Cash Flows for Equity (FCFE)
Model the expected future cash flows for the explicit forecast period (e.g.
5
Compute the terminal value of the cash flows
Discount the cash flows and terminal value using the cost of equity (Ke) to find the equity value of operations
Add the market value of any non-operating assets which were excluded from CF computations
Corporate Valuation Method (
FCFF
WACC
Determine Free Cash Flows for the firm (FCFF)
Compute the terminal value of the cash flows
Discount the cash flows and terminal value using the weighted average cost of capital (WACC) to find the Value of Operations (i.e. Enterprise Value)
Subtract the market value of debt
Divide by shares outstanding to find the equity value per share (intrinsic value)
Adjusted Present Value (A
PV
Ku
Determine Free Cash Flows for the firm (FCFF)
Model the expected future cash flows for the explicit forecast period (e.g. 5 years)
Compute the terminal value of the cash flows
Discount the cash flows and terminal value using the unlevered cost of capital (Ku) to determine the Unlevered Value of Operations
Determine the interest tax savings for the firm (
Interest expense
Model the expected future interest tax savings for the explicit forecast period (e.g. 5 years)
Compute the terminal value of the interest tax savings
Discount the interest tax savings and terminal value using the unlevered cost of capital (Ku) to determine the value of the tax shield
Add the Unlevered Value of Operations to the Value of the Tax Shield to find Value of Operations (i.e. Enterprise Value)
Subtract the market value of debt
Divide by shares outstanding to find the equity value per share (intrinsic value)Examples (Template)
Use the following data in the models indicated below to estimate the equity value of your subject firm, “Company X.”
Benchmark P/E
1
Price-to-Earnings ratio from “Peer” firms
Benchmark P/S
1.55
Price-to-Sales ratio from “Peer” firms
Benchmark EV/EBITDA
1
3
Enterprise-Value-to-EBITDA ratio from “Peer” firms
t
30.00%
Tax rate
Ke
15.83%
Cost of equity
Kd
5.00%
Cost of debt
WACC
12.0
4
Weighted average cost of capital
Ku
12.50%
Unlevered cost of equity
Shares
1,000,000
Shares outstanding
Terminal growth rate (after year 5)
—————————————————————————————————————————>
4.50%
Forecast Years
Year 0
Year 1
Year 2
Year 3
Year 4
Year 5
Sales revenue
9,193,548.4
EBITDA
1,203,703.7
Earnings available to common shareholders
903,041.8
Equity cash flow (FCFE)
1,220,095.694
1,275,000.000
1,332,375.000
1,392,331.875
1,454,986.809
1,520,461.216
Free cash flow (FCFF)
1,172,248.804
1,225,000.000
1,280,125.000
1,337,730.625
1,397,928.503
1,460,835.286
Interest expense
239,234.450
250,000.000
261,250.000
273,006.250
285,291.531
298,129.650
Market value of debt
5,000,000.000
Market value of non-operating assets
3,000,000.000
P/E Multiples Valuation
Benchmark P/E
Earnings available to common shareholders
Equity intrinsic value
Shares
Implied price per share
P/S Multiples Valuation
Benchmark P/S
Sales Revenue
Shares
Implied price per share
EV/EBITDA Multiples Valuation
Benchmark EV/EBITDA
EBITDA
Enterprise value
Market value of non-operating assets
Market value of debt
Shares
Implied price per share
Equity Cash Flow Model: Discounting Equity Cash Flows at Cost of Equity
Ke (Cost of Equity)
Forecast Year:
Equity cash flow (FCFE)
Terminal value
PV
Equity value of operations
Equity intrinsic value
Shares
Implied price per share
Corporate Valuation Model: Discounting Free Cash Flows at WACC
WACC (Weighted Average Cost of Capital)
Free cash flow (FCFF)
PV
Value of operations
Market value of non-operating assets
Equity intrinsic value
Shares
Implied price per share
Adjusted Present Value Model: Discounting Unlevered Cash Flows at Unlevered Cost of Capital
Ku (Unlevered Cost of Capital)
FCFF
PV
Unlevered value of operations
Interest tax savings
PV
Value of tax shield
Market value of non-operating assets
Equity intrinsic value
Shares
Implied price per share