Title: Estimating Continuing Value
1Estimating Continuing Value
Chapter 12
- Presented by
- Supatcharee Hengboriboonpong
- Kittanai Pongsak
2Outline
- Estimating Continuing Value
- Continuing Value Formula for DCF Valuation
- Continuing Value Formula for Economic Profit
Valuation - Interpretation of Continuing Value
- Parameters for Continuing Value Variables
- Common Pitfalls
- Evaluating Other Approaches
3Value
- PV of CF during PV of CF after
- Explicit forecast explicit forecast
- period period
4Continuing Value
- The value of the companys expected cash flow
beyond the explicit forecast period.
5Continuing Value Formula for DCF Valuation
NOPLATt1(1-g/ROICI) WACC-g
NOPLAT The normalized level of NOPLAT in the
first year after the
explicit forecast period. g The
expected growth rate in NOPLAT in
perpetuity. ROIC The expected rate of return
on net new investment. WACC The weighted aver
cost of capital.
6Assumptions for the Continuing Value Formula for
DCG Valuation
- The company earns constant margins, maintains a
constant capital turnover, and thus earns a
constant return on existing invested capital. - The companys revenues and NOPLAT grow at a
constant rate and the company invests the same
proportion of its gross cash flow in its business
each year. - The company earns a constant return on all new
investments.
7Simple Formula for a Cash Flow Perpetuity that
grows at a constant Rate
- Continuing value FCFT1
- WACC-g
FCFT1 The normalized level of free cash flow
in the first year after the explicit forecast
period. This formula is well established in the
finance and mathematic literature.
8Free Cash Flow in terms of NOPLAT and Investment
Rate
- Free Cash Flow NOPLAT x (1-IR)
IR The investment rate, or the percentage of
NOPLAT reinvested in the business each year.
9Relationship between IR, g and ROICI
- g ROICI x IR Â IR g/ ROICI
- Now build this into the free cash flow (FCF)
definition - FCF NOPLAT x 1 - g
- ROICI
- Â Substituting for FCF gives the value driver
formula - Continuing value NOPLAT (1-g/ROIC)
- WACC-g
10Also Known AsValue-Driver Formula
- Because the input variables of
- Growth, ROIC and WACC
-
- are the key drives of
- Value
11 Growth rate in NOPLAT Free Cash
Flow 6 ROICi 12
and WACC 11
Long Range Forecast of 150 years
CV 50/1.1153/(1.11)256/(1.11)350(1.06)149/(1.
11)150999
Growing Free Cash Flow Perpetuity Formula
CV 50/11 - 6 1000
Value-Driver Formula
CV 100(1-6/12) / 11-61000
12Recommended Continuing Value Formula for Economic
Profit Valuation
- With the economic profit approach, the continuing
value does not represent the value of the company
after the explicit forecast period. -
- Instead, it is the incremental value over the
companys invested capital at the end of the
explicit forecast period
13Value Invested capital at the beginning of the
period Present value of forecasted economic
profit during explicit forecast period Present
value of forecasted economic profit after the
explicit forecast period
CV formula for Economic Profit Valuation
14CV Economic profitT1 (NOPLATT1)(g/ROICI)(ROI
CI WACC) WACC
WACC (WACC g)
Continuing value formula for economic profit
- Economic ProfitT1 The normalized economic
profit in the first year after the explicit
forecast period. - NOPLAT The normalized NOPLAT in the first
year after the explicit forecast period. - g The expected growth rate in NOPLAT in
perpetuity. - ROICI The expected rate of return on new
new investments. - WACC The weighted average cost of capital.
15Issues in the Interpretation of Continuing Value
- Three common misunderstandings about continuing
value - The perception that the length of the forecast
affects the value of the company -
- The confusion about the ROIC assumption in the
continuing value period - All the companys value is created after the
explicit forecast period
16Total Value Calculations 5 years
17Total Value Calculations 10 years
18Confusion about ROIC
Confusion can occur with the concept of
competitive advantage period when companies will
earn returns above the cost of capital for a
period of time, followed by a decline in the cost
of capital. It is dangerous to link it to the
length of the forecast. As it has been shown
that there is no connection between the length of
the forecast and the value of the company.
Remember, the value-driver formula is based on
incremental returns on capital, not company wide
average returns. If you assume that incremental
returns in the CV period will just equal the cost
of capital, you are not assuming that the return
on total capital (old and new) will equal the
cost of capital. The return on the old capital
will continue to earn the returns it is projected
to earn in the last forecast period. In other
words, the companys competitive advantage period
has not come to an end once you reach the
continuing value period.
19Exhibit 12.4 shows the implied average ROIC
assuming that projected CV growth is 4.5, the
return on base capital is 18, the return on
incremental capital is 10, and the WACC is 10.
The average return on all capital declines
gradually. From its starting point of 18 , it
declines to 14 (the halfway point to the
incremental ROIC) after 11 years. It reaches 12
after 23 years and 11 after 37 years.
20When is Value Created? Below, it appears the 85
of the companys value come form the Continuing
Value.
21A Business Components ApproachLooks at the
negative cash flow when invested in a new
business line and its appearance of long range
value.
22Economic Profit ModelValuation is the same from
all three methods.
23Impact of Continuing-Value Assumptions
24Estimating Parameters for Continuing Value
Variables
- NOPLAT The base level of NOPLAT should reflect a
normalized level of earnings for the company at
the midpoint of its business cycle. Revenues
should generally reflect the continuation of the
trends in the last forecast year adjusted to the
midpoint of the business cycle. Operating costs
should be based on sustainable margin levels, and
taxes should be based on long-term expected
rates. - Free Cash Flow First, estimate the base level of
NOPLAT as described above. Although NOPLAT is
usually based on the last forecast years
results, the prior years level of investment is
probably not a good indicator of the sustainable
amount of investment needed for growth in the
continuing value period. Carefully estimate how
much investment will be required to sustain the
forecasted growth rate. Often the forecasted
growth in the CV Period is lower so the amount of
investment should be proportionately smaller
amount of NOPLAT.
25Estimating Parameters for Continuing Value
Variables
- Incremental ROIC The ROIC should be consistent
with expected competitive conditions. Economic
theory suggests that competition will eventually
eliminate abnormal return, so for many companies,
set ROICWACC. If you expect the company will be
able to continue its growth and to maintain its
competitive advantage, then you might consider
setting ROIC equal to the return the company is
forecasted to earn during the explicit forecast
period. - Growth rate The best estimate is probably the
expected long-term rate of consumption growth for
the industrys products, plus inflation. We also
suggest that sensitivity analyses be done to
understand how the growth rate affects value
estimates.
26Estimating Parameters for Continuing Value
Variables
-
- WACC The weighted average cost of capital
should incorporate a sustainable capital
structure and an underlying estimate of business
risk consistent with expected industry
conditions. - Investment Rate The investment rate is not
explicitly in the formula, but it equals ROIC
divided by growth. Make sure that the investment
rate can be explained in light of industry
economics
27Common Pitfalls
- Naïve Base-Year Extrapolation A continual
increase in working capital as a percentage of
sales and therefore significantly understating
the value of the company (increase in working
capital is too large for the increase in sales)
28Common Pitfalls
- Naïve Over-conservatism Do not assume that the
incremental return on capital in the continuing
value period will equal the cost of capital. In
doing so, one is apt not to forecast growth rate
since growth nether adds nor destroys value.
Case in point are companies with proprietary
products who can command high returns on invested
capital. - Purposeful Over-conservatism The size and
uncertainty of Continuing Value leads to
over-conservatism. But uncertainty is a two
edged sword, it can cut both ways. Careful
development of scenarios (Venture SimsTM) are
critical elements of any valuation.
29Other DCF Approaches
- Convergence Formula implies zero growth. This
is not the case. It means that growth will add
nothing to value, because the return associated
with growth just equals the cost of capital. - Start with Value-driver Formula
- CVNOPLATT1(1-g/ROICI)/WACC-g
- Assume ROICIWACC
- (incremental invested capital the cost of
capital) - CVNOPLATT1(1-g/WACC)/WACC-g
- CV NOPLATT1 (WACC-g)/(WACC) /WACC-g
- Canceling the term WACC-g leaves a simple
formula - CV NOPLATT1/WACC
30Other DCF Approaches
- Aggressive Formula Assumes that earnings in the
Continuing Value period will grow at some rate,
most often the inflation rate. The conclusion is
then drawn that earnings should be discounted at
the real WACC rather than the nominal WACC.
Here, g is the inflation rate. This formula can
substantially over states Continuing Value
because it assumes that NOPLAT can grow without
any incremental capital investment any growth
will probably require additional working capital
and fixed assets. - Assume that ROIC approaches infinity
- CV NOPLATT1(1-g/ROICI) /WACC-g
- ROIC 8 therefore g/ROICI 0
- CV NOPLATT1(1-0)/WACC-g
- CV NOPLATT1/WACC-g
31Non-Cash Flow Approaches
- Liquidation-Value Approach sets the continuing
value equal to an estimate of the proceeds from
the sale of the assets of the business, after
paying off liabilities at the end of the explicit
forecast period. - Replacement-Cost Approach sets the continuing
value equal to the expected cost to replace the
companys assets. - Price-To-Earnings Ratio Approach assumes the
company will be worth some multiple of its future
earnings in the continuing period. - Market-To-Book Ratio Approach assumes the company
will be worth some multiple of its book value,
often the same as its current multiple or the
multiple of comparable companies.
32Any Questions?
33Thank you for your attention!