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Chapter 12
Valuation: Cash –FlowBased Approaches
Valuing the Firm
Economic theory teaches us that the value of an
investment is:
Projected Future Payoffst
V0
t
(1
Discount
Rate)
t 1
n
Expected future payoffs can be measured in
terms of:
Dividends
Cash Flows
Earnings
Chapter: 12
2
Approaches to firm valuation
Chapter: 12
3
Cash-Flow-Based Valuation
Focus is on the cash that flows into the firm.
Measures the cash flows that are “free” to be
distributed to shareholders.
Cash flows generated by the firm create
dividend-paying capacity.
Chapter: 12
4
Cash-Flow-Based Valuation (Contd.)
Amount of cash flowing into firm differs from
dividends paid in a particular period.
But over the lifetime of the firm, cash flows
into and cash flows out of the firm will be
equivalent.
Chapter: 12
5
Rationale for Using Free-Cash-Flows
• Cash is the ultimate source of value. The
free cash flows approach measures value
based on the cash flows that the firm
generates that can be distributed to
investors.
It is a measurable common denominator
for comparing the future benefits of
alternative investment instruments.
Chapter: 12
6
Cost of Common Equity Capital
CAPM Model:
E[R Ej ] E[R F ] ß j {E[R M ]–E[RF ]}
Where :
E expectatio n
REj Required return on common equity in firm j
RF Risk - free rate of return
ß j Market beta for firm j
RM Required return on marketwide portfolio
Chapter: 12
7
Weighted Average Cost of Capital
RA [wD RD ( 1–tax rate)] [wP RP ] [wE RE ]
Where :
wD wP wE 1
R is cost of each type of capital
w is proportion of each type of capital
Tax rate is rate applicable to debt costs
Chapter: 12
8
Measuring Free Cash Flows
Under U.S. GAAP and IFRS, Cash flow
statement categorize the activities as
operating, investing and financing.
Some rearrangements are necessary to
compute free cash flows.
Chapter: 12
9
Measuring Free Cash Flows (Contd.)
• Cash flow from operations from the
projected statement of cash flows is the most
direct starting point because it requires the
fewest adjustments.
• However, some analysts compute free cash
flows using alternative starting points.
Chapter: 12
10
Measuring Free Cash Flows
• Free Cash Flows for All Debt and Equity Stakeholders:
Operating Activities:
Cash Flow from Operations
+/- Net Interest after Tax
+/- Changes in Cash Requirements for Liquidity
= Free Cash Flows from Operations for All Debt and Equity
Investing Activities:
+/- Net Capital Expenditures
= Free Cash Flows for All Debt and Equity Stakeholders
Chapter: 12
11
Measuring Free Cash Flows
• Free Cash Flows for Common Equity Shareholders:
Operating Activities:
Cash Flow from Operations
+/- Changes in Cash Requirements for Liquidity
= Free Cash Flows from Operations for Equity
Investing Activities:
+/- Net Capital Expenditures
Financing Activities:
+/- Debt Cash Flows
+/- Financial Asset Cash Flows
+/- Preferred Stock Cash Flows
= Free Cash Flows for Common Equity Stakeholders
Chapter: 12
12
Cash-Flows-Based Valuation Models
To value common equity measure:
Discount rate – RE .
Expected future free cash flows – FCFEq for
periods 1 through T over forecast horizon.
Continuing free cash flows, FCFEq(T+1), and longrun growth rate, g.
Chapter: 12
13
Free-Cash-Flows-Based Valuation Models
For common equity shareholders:
FCFE t
T
V0
[FCFE
]
[
1
/(R
–g)]
[
1
/(
1
R
)
]
T 1
E
E
t
t 1 ( 1 RE )
T
Where,
V0
Present value of the common equity of a firm
FCFE Free cash flows for common equity shareholde rs
RE
Required rate of return on equity capital
g
Growth rate
Chapter: 12
14
Free-Cash-Flows-Based Valuation Models
• For all debt and equity capital stakeholders:
FCFAt
T
VNOA0
[FCFA
]
[
1
/(R
–g)]
[
1
/(
1
R
)
]
T 1
A
A
t
t 1 ( 1 RA )
T
Where,
VNOA0 Present value of net operating assets of a firm
FCFA Free cash flows for all debt and equity capital
stakeholde rs
RA
Expected future weighted average cost of capital
g
Growth rate
Chapter: 12
15
Continuing Value
• Represented by last term of equation:
[FCFAT 1 ] [ 1/(R A –g)] [ 1/( 1 RA )T ]
• Use expected long-term growth rate, g, to
project all items on Year T+1 income
statement and balance sheet.
RA must be greater than g for this formula to
work.
Chapter: 12
16
What now?
Once valuation model is applied, then
Conduct sensitivity analysis:
Vary cost of equity capital rate (RE)
Vary long-run growth rate (g)
Discount rate assumptions
Vary these parameters and assumptions
individually and jointly.
Chapter: 12
17
Evaluation of the Free-Cash-Flows-Valuation
method
Advantages:
• Focuses on free cash flows, believed to
have more economic meaning than
earnings.
• Results from projections of future
operating, investing, and financing
decisions of a firm made by the analyst.
Chapter: 12
18
Evaluation of the Free-Cash-Flows-Valuation
method
Advantages: (Contd.)
• Focuses directly on net cash inflows
available to be distributed to capital
providers. This perspective is especially
pertinent to acquisition decisions.
• Widely used in practice.
Chapter: 12
19
Evaluation of the Free-Cash-Flows-Valuation
method
Disadvantages:
• Can be time-consuming making it costly.
• Continuing value tends to dominate the total
value but is sensitive to assumptions growth
rates and discount rates.
• Free cash flow computations must be
internally consistent with long-run
assumptions regarding growth and payout.
And is affected by estimation errors.
Chapter: 12
20