Use of a Multi-Stage Discounted Cash Flow Model in Determining the Railroad Industry's Cost of Capital, 47642-47644 [E8-18865]
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47642
Federal Register / Vol. 73, No. 158 / Thursday, August 14, 2008 / Notices
sroberts on PROD1PC70 with NOTICES
FTA currently allows a transit
provider that is severely impacted by a
natural disaster to request a waiver from
reporting to the NTD for the current
year. This policy is based on the NTD
Rule (49 CFR Part 630), which provides
for a waiver from the mandatory NTD
reporting requirements if reporting to
the NTD would cause ‘‘unreasonable
expense or inconvenience.’’ When FTA
grants such a waiver to an urbanized
area reporter that has previously
reported to the NTD, FTA automatically
includes data from the last-available
NTD report year for the reporter in the
apportionment of formula grants for
urbanized areas. However, FTA does not
currently have policies or procedures
that would allow it to use NTD data
from a prior report year in the
apportionment of formula grants for
urbanized areas for a transit provider
that is able to report for the current year.
II. Proposed Policy Change
If a transit provider suffers a marked
decrease in transit service due to a
natural disaster, FTA proposes to allow
that transit provider to be ‘‘held
harmless’’ in the apportionment of
formula grants for urbanized areas. The
affected provider may request that their
data from the NTD report year before the
natural disaster occurred be used in
place of data for the current report year
in the apportionment. FTA would
continue to use data from the current
NTD report year for all other transit
providers in the apportionment. The
designated recipient for an urbanized
area may also make this request on
behalf of an affected provider. This
adjustment would not be automatic, and
FTA will not make this adjustment
unless requested by the affected
provider or the designated grant
recipient for the urbanized area.
Under the proposed policy, FTA
would approve or deny the request for
the adjustment at its discretion. FTA
will base its decision on the following
factors: (1) Whether a Federal disaster
declaration was in place for all or part
of the current report year, for either all
or part of the transit provider’s service
area; (2) whether the adjustment request
demonstrates that the decrease in transit
service from the report year before the
natural disaster is in large part due to
the ongoing impacts of the natural
disaster; and (3) whether the decrease in
transit service reasonably appears to be
temporary, and thus not reflective of the
true transit needs of the urbanized area.
FTA will not grant adjustment requests
that do not address all of these factors.
Adjustment requests should include
sufficient documentation to allow FTA
to evaluate the request based on these
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15:57 Aug 13, 2008
Jkt 214001
factors. FTA may request additional
information from an applicant for an
adjustment to evaluate the request based
on these factors. If the adjustment
request is granted, the NTD data in all
publicly-available data sets and data
products would remain unadjusted, and
would reflect the actual NTD
submission for the transit provider. The
only adjustment would be in the data
sets used for the apportionments of
formula grants for urbanized areas.
FTA proposes for this policy to take
effect for the 2007 NTD Report Year,
which is the data to be used in the FY
2009 apportionment of formula grants
for urbanized areas. This policy would
remain in effect for the 2008 NTD
Report Year, and will be included in the
NTD Annual Manual for the 2009
Report Year.
Issued in Washington, DC, this 8th day of
August 2008.
James S. Simpson,
Administrator.
[FR Doc. E8–18939 Filed 8–12–08; 4:15 pm]
BILLING CODE 4910–57–P
DEPARTMENT OF TRANSPORTATION
Surface Transportation Board
[STB Ex Parte No. 664 (Sub-No. 1)]
Use of a Multi-Stage Discounted Cash
Flow Model in Determining the
Railroad Industry’s Cost of Capital
Surface Transportation Board.
Notice.
AGENCY:
ACTION:
SUMMARY: The Board proposes to use a
multi-stage Discounted Cash Flow (DCF)
model to complement its use of the
Capital Asset Pricing Model (CAPM) in
determining the cost-of-equity
component of the railroad industry’s
cost of capital.
DATES: Comments are due on or before
September 15, 2008. Reply comments
are due on or before October 14, 2008.
ADDRESSES: Comments may be
submitted either via the Board’s e-filing
format or in traditional paper format.
Any person using e-filing should attach
a document and otherwise comply with
the instructions at the E-FILING link on
the Board’s Web site at https://
www.stb.dot.gov. Any person submitting
a filing in the traditional paper format
should send an original and 10 copies
referring to STB Ex Parte No. 664 (SubNo. 1) to: Surface Transportation Board,
395 E Street, SW., Washington, DC
20423–0001.
FOR FURTHER INFORMATION CONTACT: Paul
Aguiar, (202) 245–0323. [Assistance for
the hearing impaired is available
PO 00000
Frm 00064
Fmt 4703
Sfmt 4703
through the Federal Information Relay
Service (FIRS) at 1–800–877–8339.]
SUPPLEMENTARY INFORMATION: Each year
the Board measures the cost of capital
for the railroad industry in the prior
year. The Board then uses this cost-ofcapital figure for a variety of regulatory
purposes. It is used to evaluate the
adequacy of individual railroads’
revenues for that year.1 It is also
employed in cases involving rail rate
review, feeder line applications, rail line
abandonment proposals, trackage rights
compensation cases, and rail merger
review, as well as in our Uniform Rail
Costing System (URCS).
The Board calculates the cost of
capital as the weighted average of the
cost of debt and the cost of equity, with
the weights determined by the capital
structure of the railroad industry (i.e.,
the proportion of capital from debt or
equity on a market-value basis). While
the cost of debt is observable and
readily available, the cost of equity (the
expected return that equity investors
require) can only be estimated. How
best to calculate the cost of equity is the
subject of a vast amount of literature.
Because the cost of equity cannot be
directly observed, estimating the cost of
equity requires adopting a finance
model and making a variety of
simplifying assumptions.
In Methodology to be Employed in
Determining the Railroad Industry’s
Cost of Capital, STB Ex Parte No. 664
(STB served Jan. 17, 2008), the Board
changed the methodology that it uses to
calculate the railroad industry’s cost of
equity. We concluded that the time had
come to modernize our regulatory
process and replace the aging singlestage DCF model that had been
employed since 1981. After a thorough
rulemaking process, we decided to
calculate the cost of equity using CAPM.
During that process, several parties
urged the Board to use a multi-stage
DCF in conjunction with CAPM. We
elected to adopt a stand-alone CAPM
approach because the record in that
proceeding did not support adopting
any particular DCF model. But, we did
not want to foreclose the possibility of
augmenting CAPM with a DCF
approach. As we explained in the
January 2008 decision (footnotes
omitted):
There may be merit to the idea of using
both models to estimate the cost of equity.
While CAPM is a widely accepted tool for
estimating the cost of equity, it has certain
1 See 49 U.S.C. 10704(a)(2),(3); Standards for
Railroad Revenue Adequacy, 364 I.C.C. 803 (1981),
modified, 3 I.C.C.2d 261 (1986), aff’d sub nom.
Consolidated Rail Corp. v. United States, 855 F.2d
78 (3d Cir. 1988).
E:\FR\FM\14AUN1.SGM
14AUN1
Federal Register / Vol. 73, No. 158 / Thursday, August 14, 2008 / Notices
strengths and weaknesses, and it may be
complemented by a DCF model. In theory,
both approaches seek to estimate the true
cost of equity for a firm, and if applied
correctly should produce the same expected
result. The two approaches simply take
different paths towards the same objective.
Therefore, by taking an average of the results
from the two approaches, we might be able
to obtain a more reliable, less volatile, and
ultimately superior estimate than by relying
on either model standing alone.
Ultimately, both CAPM and DCF are
economic models that seek to measure
the same thing. CAPM seeks to do so by
estimating the level of expected returns
that investors would demand given the
perceived risks associated with the
company. By contrast, DCF models
estimate the expected rate of return
based on the present value of the cash
flows that the company is expected to
generate. Both approaches are plausible
and intuitive, but are merely models.
The Federal Reserve Board noted in
its testimony in STB Ex Parte No. 664
that ‘‘academic studies had
demonstrated that using multiple
models will improve estimation
techniques when each model provides
new information * * *’’ 2 There is, in
fact, robust economic literature
confirming that, in many cases,
combining forecasts from different
models is more accurate than relying on
a single model.3
The record before us in STB Ex Parte
No. 664 was insufficient for us to adopt
a particular DCF model. But, it did
illuminate a number of criteria to guide
us in that effort. We issued an Advance
Notice of Proposed Rulemaking, Use of
a Multi-Stage Discounted Cash Flow
Model in Determining the Railroad
Industry’s Cost of Capital, STB Ex Parte
No. 664 (Sub-No. 1) (STB served Feb.
11, 2008) (ANPRM) in which we
requested comments on the use of a
multi-stage DCF model to complement
the use of CAPM in determining the
railroad industry’s cost-of-capital.
Specifically, we invited interested
parties to submit comments on an
appropriate multi-stage DCF for use in
the Board’s cost-of-equity
determination. In the ANPRM, we
identified the requirements that a multistage DCF model should satisfy.
sroberts on PROD1PC70 with NOTICES
2 February
2007 Hearing Tr. at 18.
3 See generally David F. Hendry & Michael P.
Clements, Pooling of Forecasts, VII Econometrics
Journal 1 (2004); J.M. Bates & C.W.J. Granger, The
Combination of Forecasts in Essays in
Econometrics: Collected Papers of Clive W.J.
Granger. Vol. I: Spectral Analysis, Seasonality,
Nonlinearity, Methodology, and Forecasting 391–
410 (Eric Ghysels, Norman R. Swanson, & Mark W.
Watson, eds., 2001); Spyros Makridakis and Robert
L. Windler, Averages of Forecasts: Some Empirical
Results, XXIX Management Science 987 (1983).
VerDate Aug<31>2005
15:57 Aug 13, 2008
Jkt 214001
First, and foremost, the proposed DCF
model should be a multi-stage model.
For cost-of-capital determinations for
years 1981 through 2005, the agency
relied on a single-stage DCF. That model
required few inputs and few judgment
calls, permitting the agency to promptly
develop an estimate of the cost-of-equity
component of the cost of capital. But its
simplicity was due in part to an
assumption that the 5-year growth rate
would remain constant thereafter. That
assumption proved problematic. In
recent years, railroad earnings have
grown at a very rapid pace, exceeding
the long-run growth rate of the economy
as a whole. While it is certainly possible
that railroad earnings will continue to
grow rapidly for many years, they
cannot do so forever as the single-stage
DCF model assumes. Thus, in years
when the 5-year growth rate is very
high, this model may overstate the cost
of equity. Similarly, in years when the
railroads experience a downturn and the
predicted 5-year growth rate is very low,
the model may understate the cost of
equity.
Second, we noted in the ANPRM that
the DCF model should not focus on
dividend payments only. Finance theory
suggests that the value of a firm should
be independent of its dividend policy.4
Although changes in dividends do
influence stock prices, it is because
these changes are ‘‘news’’ to the market.
The market then responds in valuing the
stock. It is the news, not the dividend
distribution, that drives the change in
prices. In addition, companies return
profits to their shareholders in ways
other than increasing dividends,
including buying back shares. As a
result, we no longer think that a simple
dividend distribution model is an
acceptable framework for valuing firms.
Rather, broader measures of cash flow or
shareholder returns should be
incorporated.
Third, the DCF model responsive to
the ANPRM should be limited to those
firms that pass the screening criteria set
forth in Railroad Cost of Capital—1984,
1 I.C.C.2d 989 (1985) (Railroad Cost of
Capital—1984). Under those criteria, we
include in the analysis only those Class
I carriers that: (1) Had rail assets greater
than 50% of their total assets; (2) had a
debt rating of at least BBB (Standard &
Poors) and Baa (Moody’s); (3) are listed
4 See, e.g., Franco Modigliani & Merton H. Miller,
The Cost of Capital, Corporation Finance, and the
Theory of Investment, 48 Am. Econ. Rev., 261–97
(1958). By integrating tax—and information-related
considerations on capital structure and dividend
policy choices, Modigliani and Miller greatly
influenced subsequent developments in the field of
finance. See Sudipto Bhattacharya, Corporate
Finance and the Legacy of Miller and Modigliani,
2 J. Econ. Perspectives 135–47 (1988).
PO 00000
Frm 00065
Fmt 4703
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47643
on either the New York or American
Stock Exchange; and (4) paid dividends
throughout the year. A Class I railroad
is one having annual carrier operating
revenues of at least $250 million in 1991
dollars. 49 CFR 1201.1–1. Those criteria
tend to result in establishing the cost of
capital for an efficiently run railroad
firm, on which data are readily and
transparently available.
Fourth, we sought a multi-stage DCF
model that, when used in combination
with CAPM, would enhance the
precision of the resulting cost-of-equity
estimate, one that over a sufficiently
lengthy historical analysis period would
result in a combined forecast with a
lower variance than a forecast relying on
the CAPM approach alone.
In response to the ANPRM, the Board
received comments from Arkansas
Electric Cooperative Corporation
(AECC); the Association of American
Railroads (AAR) and the Western Coal
Traffic League (WCTL).
AAR and WCTL each proposed multistage DCF models. AAR’s proposed
model satisfied all of the four
fundamental requirements identified by
the Board in the ANPRM. AAR’s model
is a multi-stage DCF. Its cash flow
component is broader than models
using only dividends. It is limited to the
four carriers that meet the Board’s
screening criteria, and it reduces
variance in estimating the cost of equity
as compared to using the CAPM
approach alone.
WCTL submitted a multi-stage DCF
model and asserted that such a model
could provide further validation of the
CAPM results. However, WCTL asserted
that it did not believe the Board should
receive and consider evidence
concerning multi-stage DCF calculations
along with CAPM calculations as part of
our annual railroad industry cost-ofcapital determinations at this time.
WCTL suggested that we revisit this
matter in five years.
AECC did not submit a model in
response to the ANPRM, but deferred to
the WCTL. AECC did express the
opinion that the use of a multi-stage
DCF model in conjunction with CAPM
could enhance the precision of the
resulting cost-of-equity estimate.
Proposed Rule
For the reasons set forth below, the
Board proposes to determine the cost of
equity of the railroad industry by using
the average of the estimate produced by
the CAPM model and the Morningstar/
Ibbotson multi-stage DCF model
identified by AAR.
The Morningstar/Ibbotson model
meets the four requirements we
established in the ANPRM. It employs
E:\FR\FM\14AUN1.SGM
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Federal Register / Vol. 73, No. 158 / Thursday, August 14, 2008 / Notices
And AAR has demonstrated that the
model satisfies our fourth requirement.
When combined with CAPM and
applied over a sufficiently lengthy
historical analysis period, the
Morningstar/Ibbotson multi-stage DCF
model enhances the precision of the
resulting cost-of-equity estimate with a
lower variance than a forecast relying on
the CAPM approach alone. For the
period 1998 through 2006, for the four
Class I railroads meeting the Railroad
Cost of Capital—1984 standards, the
Morningstar/Ibbotson model produces a
cost of equity ranging from 11.6% to
14.6%, while the CAPM yields
estimates between 9.7% and 12.7%.
Averaging the estimates from the two
models yields estimates in the range
between 11.1% and 13.4%. The
standard deviation for both the
Morningstar/Ibbotson model and the
CAPM model is 0.92 while the standard
deviation of the average of the two
models is only 0.75. As such, using the
average of both CAPM and the multistage DCF model produces a more stable
and more precise cost-of-equity
estimate.
Finally, the Morningstar/Ibbotson
model is a commercially accepted
multi-stage DCF model. It was
developed by disinterested, respected
third parties and created for use by the
financial community in evaluating
publicly traded equities and in making
real-world investment decisions. It was
not developed as a tool for litigation or
advocacy, and the same model is used
by Morningstar to estimate the cost of
equity for hundreds of different
industries. The model’s variables can be
estimated from publicly available data,
and here can be applied to those
MV
i0
=∑
CFi 0 (1 + gi1 )
(1 + ri )
sroberts on PROD1PC70 with NOTICES
t =1
Where,
MVi0 = market value of firm i in year 0 (i.e.,
the year for which the cost of equity is
being estimated)
CFit = average cash flow for firm i at the end
of year t
gi1 = earnings growth rate for firm i in stage
j (j = 1, 2, or 3).
IBEI10 = IBEI0 (1+g1)5(1+g2)5
IBEI0 is determined by the same process as
CF0
t
t
10
+∑
CFi 5 (1 + gi 2 )
(1 + ri )
t =6
( t − 5)
t
+
Decided: August 7, 2008.
By the Board, Chairman Nottingham, Vice
Chairman Mulvey, and Commissioner
Buttrey.
Anne K. Quinlan,
Acting Secretary.
Appendix
The cost of equity for each firm (ri) in
the Morningstar/Ibbotson three-stage
DCF model is the solution to the
following equation:
IBEIi10 (1 + gi 3 )
ri − gi 3
(1 + ri )
10
the individual firm cost of equity
estimates:
N
Si = ( MV 0i ) / ∑ MV0i
t =1
N
[FR Doc. E8–18865 Filed 8–13–08; 8:45 am]
R = ∑ Si ri ,
BILLING CODE 4915–01–P
t =1
Where, si is firm i’s share of the total
industry market value and N is the number
of firms in the industry composite, such that:
The industry cost of equity (R) for the
three-stage DCF model is computed as
the market value weighted average of
5 See
AAR V.S. of Stangle at 10.
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15:57 Aug 13, 2008
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EN14AU08.012
5
railroads that meet the Board’s selection
criteria. While there may well be a
variety of other multi-stage DCF
models—each with different
assumptions and inputs—that might
satisfy the four requirements set forth in
our notice, we believe it is prudent to
use an approach that was not developed
simply as a tool for litigation before the
Board, but rather to use an approach
that has been tested in the marketplace
and is used to estimate the cost of equity
for different industries, not just the rail
industry. For this reason, we are
proposing to use the Morningstar/
Ibbotson model, rather than the model
developed and proposed by WTCL.
Interested parties are invited to
comment on the proposed use of the
Morningstar/Ibbotson model in
conjunction with CAPM. Parties should
also comment on the best way to
integrate the two approaches and
whether a simple average is the best
approach.
This action will not significantly
affect either the quality of the human
environment or the conservation of
energy resources.
Board decisions and notices are
available on our Web site at https://
www.stb.dot.gov.
EN14AU08.011
three different growth rates of the
railroads meeting the Board’s criteria.
Stage 1 represents the first 5 years. In
each year of Stage 1, the growth rate
used is the median value of the threeto-five-year growth estimates for the
qualifying railroads as provided to
Morningstar by railroad industry
analysts. Stage 2 represents years 6
through 10. In Stage 2, the growth rate
is the average of the earnings growth for
the qualifying railroads taken as a
whole. Stage 3 begins with year 11 and
continues thereafter. The growth rate in
Stage 3 is assumed to be the long-run
nominal growth rate of the aggregate
U.S. economy. This three-tier approach
eliminates the problem posed by a
single-stage DCF model which could
overstate the cost of equity by assuming
a constant growth rate. The precise
equation that describes the Morningstar/
Ibbotson multi-stage DCF model is set
forth in the submission by the AAR.5
The model also meets the second
requirement that it not limit future cash
flows to dividend payments alone.
Rather, the model incorporates a wider
array of cash flows for equity investors
by applying expectations of earnings
growth to the firms’ cash flows, not just
actual dividends. Thus, it accounts for
all of the relevant cash flows a
reasonable investor is likely to
anticipate, including share repurchases
and earnings’ reinvestments to obtain
greater future cash flows, along with
dividends. The Morningstar/Ibbotson
model includes the impact of capital
expenditures on a firm’s cash flow.
The Morningstar/Ibbotson model
meets our third requirement, as it can be
modified to use only those firms that
pass the screening criteria set forth in
Railroad Cost of Capital—1984.
Frm 00066
Fmt 4703
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E:\FR\FM\14AUN1.SGM
14AUN1
EN14AU08.010
47644
Agencies
[Federal Register Volume 73, Number 158 (Thursday, August 14, 2008)]
[Notices]
[Pages 47642-47644]
From the Federal Register Online via the Government Printing Office [www.gpo.gov]
[FR Doc No: E8-18865]
-----------------------------------------------------------------------
DEPARTMENT OF TRANSPORTATION
Surface Transportation Board
[STB Ex Parte No. 664 (Sub-No. 1)]
Use of a Multi-Stage Discounted Cash Flow Model in Determining
the Railroad Industry's Cost of Capital
AGENCY: Surface Transportation Board.
ACTION: Notice.
-----------------------------------------------------------------------
SUMMARY: The Board proposes to use a multi-stage Discounted Cash Flow
(DCF) model to complement its use of the Capital Asset Pricing Model
(CAPM) in determining the cost-of-equity component of the railroad
industry's cost of capital.
DATES: Comments are due on or before September 15, 2008. Reply comments
are due on or before October 14, 2008.
ADDRESSES: Comments may be submitted either via the Board's e-filing
format or in traditional paper format. Any person using e-filing should
attach a document and otherwise comply with the instructions at the E-
FILING link on the Board's Web site at https://www.stb.dot.gov. Any
person submitting a filing in the traditional paper format should send
an original and 10 copies referring to STB Ex Parte No. 664 (Sub-No. 1)
to: Surface Transportation Board, 395 E Street, SW., Washington, DC
20423-0001.
FOR FURTHER INFORMATION CONTACT: Paul Aguiar, (202) 245-0323.
[Assistance for the hearing impaired is available through the Federal
Information Relay Service (FIRS) at 1-800-877-8339.]
SUPPLEMENTARY INFORMATION: Each year the Board measures the cost of
capital for the railroad industry in the prior year. The Board then
uses this cost-of-capital figure for a variety of regulatory purposes.
It is used to evaluate the adequacy of individual railroads' revenues
for that year.\1\ It is also employed in cases involving rail rate
review, feeder line applications, rail line abandonment proposals,
trackage rights compensation cases, and rail merger review, as well as
in our Uniform Rail Costing System (URCS).
---------------------------------------------------------------------------
\1\ See 49 U.S.C. 10704(a)(2),(3); Standards for Railroad
Revenue Adequacy, 364 I.C.C. 803 (1981), modified, 3 I.C.C.2d 261
(1986), aff'd sub nom. Consolidated Rail Corp. v. United States, 855
F.2d 78 (3d Cir. 1988).
---------------------------------------------------------------------------
The Board calculates the cost of capital as the weighted average of
the cost of debt and the cost of equity, with the weights determined by
the capital structure of the railroad industry (i.e., the proportion of
capital from debt or equity on a market-value basis). While the cost of
debt is observable and readily available, the cost of equity (the
expected return that equity investors require) can only be estimated.
How best to calculate the cost of equity is the subject of a vast
amount of literature. Because the cost of equity cannot be directly
observed, estimating the cost of equity requires adopting a finance
model and making a variety of simplifying assumptions.
In Methodology to be Employed in Determining the Railroad
Industry's Cost of Capital, STB Ex Parte No. 664 (STB served Jan. 17,
2008), the Board changed the methodology that it uses to calculate the
railroad industry's cost of equity. We concluded that the time had come
to modernize our regulatory process and replace the aging single-stage
DCF model that had been employed since 1981. After a thorough
rulemaking process, we decided to calculate the cost of equity using
CAPM. During that process, several parties urged the Board to use a
multi-stage DCF in conjunction with CAPM. We elected to adopt a stand-
alone CAPM approach because the record in that proceeding did not
support adopting any particular DCF model. But, we did not want to
foreclose the possibility of augmenting CAPM with a DCF approach. As we
explained in the January 2008 decision (footnotes omitted):
There may be merit to the idea of using both models to estimate
the cost of equity. While CAPM is a widely accepted tool for
estimating the cost of equity, it has certain
[[Page 47643]]
strengths and weaknesses, and it may be complemented by a DCF model.
In theory, both approaches seek to estimate the true cost of equity
for a firm, and if applied correctly should produce the same
expected result. The two approaches simply take different paths
towards the same objective. Therefore, by taking an average of the
results from the two approaches, we might be able to obtain a more
reliable, less volatile, and ultimately superior estimate than by
relying on either model standing alone.
Ultimately, both CAPM and DCF are economic models that seek to
measure the same thing. CAPM seeks to do so by estimating the level of
expected returns that investors would demand given the perceived risks
associated with the company. By contrast, DCF models estimate the
expected rate of return based on the present value of the cash flows
that the company is expected to generate. Both approaches are plausible
and intuitive, but are merely models.
The Federal Reserve Board noted in its testimony in STB Ex Parte
No. 664 that ``academic studies had demonstrated that using multiple
models will improve estimation techniques when each model provides new
information * * *'' \2\ There is, in fact, robust economic literature
confirming that, in many cases, combining forecasts from different
models is more accurate than relying on a single model.\3\
---------------------------------------------------------------------------
\2\ February 2007 Hearing Tr. at 18.
\3\ See generally David F. Hendry & Michael P. Clements, Pooling
of Forecasts, VII Econometrics Journal 1 (2004); J.M. Bates & C.W.J.
Granger, The Combination of Forecasts in Essays in Econometrics:
Collected Papers of Clive W.J. Granger. Vol. I: Spectral Analysis,
Seasonality, Nonlinearity, Methodology, and Forecasting 391-410
(Eric Ghysels, Norman R. Swanson, & Mark W. Watson, eds., 2001);
Spyros Makridakis and Robert L. Windler, Averages of Forecasts: Some
Empirical Results, XXIX Management Science 987 (1983).
---------------------------------------------------------------------------
The record before us in STB Ex Parte No. 664 was insufficient for
us to adopt a particular DCF model. But, it did illuminate a number of
criteria to guide us in that effort. We issued an Advance Notice of
Proposed Rulemaking, Use of a Multi-Stage Discounted Cash Flow Model in
Determining the Railroad Industry's Cost of Capital, STB Ex Parte No.
664 (Sub-No. 1) (STB served Feb. 11, 2008) (ANPRM) in which we
requested comments on the use of a multi-stage DCF model to complement
the use of CAPM in determining the railroad industry's cost-of-capital.
Specifically, we invited interested parties to submit comments on an
appropriate multi-stage DCF for use in the Board's cost-of-equity
determination. In the ANPRM, we identified the requirements that a
multi-stage DCF model should satisfy.
First, and foremost, the proposed DCF model should be a multi-stage
model. For cost-of-capital determinations for years 1981 through 2005,
the agency relied on a single-stage DCF. That model required few inputs
and few judgment calls, permitting the agency to promptly develop an
estimate of the cost-of-equity component of the cost of capital. But
its simplicity was due in part to an assumption that the 5-year growth
rate would remain constant thereafter. That assumption proved
problematic. In recent years, railroad earnings have grown at a very
rapid pace, exceeding the long-run growth rate of the economy as a
whole. While it is certainly possible that railroad earnings will
continue to grow rapidly for many years, they cannot do so forever as
the single-stage DCF model assumes. Thus, in years when the 5-year
growth rate is very high, this model may overstate the cost of equity.
Similarly, in years when the railroads experience a downturn and the
predicted 5-year growth rate is very low, the model may understate the
cost of equity.
Second, we noted in the ANPRM that the DCF model should not focus
on dividend payments only. Finance theory suggests that the value of a
firm should be independent of its dividend policy.\4\ Although changes
in dividends do influence stock prices, it is because these changes are
``news'' to the market. The market then responds in valuing the stock.
It is the news, not the dividend distribution, that drives the change
in prices. In addition, companies return profits to their shareholders
in ways other than increasing dividends, including buying back shares.
As a result, we no longer think that a simple dividend distribution
model is an acceptable framework for valuing firms. Rather, broader
measures of cash flow or shareholder returns should be incorporated.
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\4\ See, e.g., Franco Modigliani & Merton H. Miller, The Cost of
Capital, Corporation Finance, and the Theory of Investment, 48 Am.
Econ. Rev., 261-97 (1958). By integrating tax--and information-
related considerations on capital structure and dividend policy
choices, Modigliani and Miller greatly influenced subsequent
developments in the field of finance. See Sudipto Bhattacharya,
Corporate Finance and the Legacy of Miller and Modigliani, 2 J.
Econ. Perspectives 135-47 (1988).
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Third, the DCF model responsive to the ANPRM should be limited to
those firms that pass the screening criteria set forth in Railroad Cost
of Capital--1984, 1 I.C.C.2d 989 (1985) (Railroad Cost of Capital--
1984). Under those criteria, we include in the analysis only those
Class I carriers that: (1) Had rail assets greater than 50% of their
total assets; (2) had a debt rating of at least BBB (Standard & Poors)
and Baa (Moody's); (3) are listed on either the New York or American
Stock Exchange; and (4) paid dividends throughout the year. A Class I
railroad is one having annual carrier operating revenues of at least
$250 million in 1991 dollars. 49 CFR 1201.1-1. Those criteria tend to
result in establishing the cost of capital for an efficiently run
railroad firm, on which data are readily and transparently available.
Fourth, we sought a multi-stage DCF model that, when used in
combination with CAPM, would enhance the precision of the resulting
cost-of-equity estimate, one that over a sufficiently lengthy
historical analysis period would result in a combined forecast with a
lower variance than a forecast relying on the CAPM approach alone.
In response to the ANPRM, the Board received comments from Arkansas
Electric Cooperative Corporation (AECC); the Association of American
Railroads (AAR) and the Western Coal Traffic League (WCTL).
AAR and WCTL each proposed multi-stage DCF models. AAR's proposed
model satisfied all of the four fundamental requirements identified by
the Board in the ANPRM. AAR's model is a multi-stage DCF. Its cash flow
component is broader than models using only dividends. It is limited to
the four carriers that meet the Board's screening criteria, and it
reduces variance in estimating the cost of equity as compared to using
the CAPM approach alone.
WCTL submitted a multi-stage DCF model and asserted that such a
model could provide further validation of the CAPM results. However,
WCTL asserted that it did not believe the Board should receive and
consider evidence concerning multi-stage DCF calculations along with
CAPM calculations as part of our annual railroad industry cost-of-
capital determinations at this time. WCTL suggested that we revisit
this matter in five years.
AECC did not submit a model in response to the ANPRM, but deferred
to the WCTL. AECC did express the opinion that the use of a multi-stage
DCF model in conjunction with CAPM could enhance the precision of the
resulting cost-of-equity estimate.
Proposed Rule
For the reasons set forth below, the Board proposes to determine
the cost of equity of the railroad industry by using the average of the
estimate produced by the CAPM model and the Morningstar/Ibbotson multi-
stage DCF model identified by AAR.
The Morningstar/Ibbotson model meets the four requirements we
established in the ANPRM. It employs
[[Page 47644]]
three different growth rates of the railroads meeting the Board's
criteria. Stage 1 represents the first 5 years. In each year of Stage
1, the growth rate used is the median value of the three-to-five-year
growth estimates for the qualifying railroads as provided to
Morningstar by railroad industry analysts. Stage 2 represents years 6
through 10. In Stage 2, the growth rate is the average of the earnings
growth for the qualifying railroads taken as a whole. Stage 3 begins
with year 11 and continues thereafter. The growth rate in Stage 3 is
assumed to be the long-run nominal growth rate of the aggregate U.S.
economy. This three-tier approach eliminates the problem posed by a
single-stage DCF model which could overstate the cost of equity by
assuming a constant growth rate. The precise equation that describes
the Morningstar/Ibbotson multi-stage DCF model is set forth in the
submission by the AAR.\5\
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\5\ See AAR V.S. of Stangle at 10.
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The model also meets the second requirement that it not limit
future cash flows to dividend payments alone. Rather, the model
incorporates a wider array of cash flows for equity investors by
applying expectations of earnings growth to the firms' cash flows, not
just actual dividends. Thus, it accounts for all of the relevant cash
flows a reasonable investor is likely to anticipate, including share
repurchases and earnings' reinvestments to obtain greater future cash
flows, along with dividends. The Morningstar/Ibbotson model includes
the impact of capital expenditures on a firm's cash flow.
The Morningstar/Ibbotson model meets our third requirement, as it
can be modified to use only those firms that pass the screening
criteria set forth in Railroad Cost of Capital--1984.
And AAR has demonstrated that the model satisfies our fourth
requirement. When combined with CAPM and applied over a sufficiently
lengthy historical analysis period, the Morningstar/Ibbotson multi-
stage DCF model enhances the precision of the resulting cost-of-equity
estimate with a lower variance than a forecast relying on the CAPM
approach alone. For the period 1998 through 2006, for the four Class I
railroads meeting the Railroad Cost of Capital--1984 standards, the
Morningstar/Ibbotson model produces a cost of equity ranging from 11.6%
to 14.6%, while the CAPM yields estimates between 9.7% and 12.7%.
Averaging the estimates from the two models yields estimates in the
range between 11.1% and 13.4%. The standard deviation for both the
Morningstar/Ibbotson model and the CAPM model is 0.92 while the
standard deviation of the average of the two models is only 0.75. As
such, using the average of both CAPM and the multi-stage DCF model
produces a more stable and more precise cost-of-equity estimate.
Finally, the Morningstar/Ibbotson model is a commercially accepted
multi-stage DCF model. It was developed by disinterested, respected
third parties and created for use by the financial community in
evaluating publicly traded equities and in making real-world investment
decisions. It was not developed as a tool for litigation or advocacy,
and the same model is used by Morningstar to estimate the cost of
equity for hundreds of different industries. The model's variables can
be estimated from publicly available data, and here can be applied to
those railroads that meet the Board's selection criteria. While there
may well be a variety of other multi-stage DCF models--each with
different assumptions and inputs--that might satisfy the four
requirements set forth in our notice, we believe it is prudent to use
an approach that was not developed simply as a tool for litigation
before the Board, but rather to use an approach that has been tested in
the marketplace and is used to estimate the cost of equity for
different industries, not just the rail industry. For this reason, we
are proposing to use the Morningstar/Ibbotson model, rather than the
model developed and proposed by WTCL.
Interested parties are invited to comment on the proposed use of
the Morningstar/Ibbotson model in conjunction with CAPM. Parties should
also comment on the best way to integrate the two approaches and
whether a simple average is the best approach.
This action will not significantly affect either the quality of the
human environment or the conservation of energy resources.
Board decisions and notices are available on our Web site at http:/
/www.stb.dot.gov.
Decided: August 7, 2008.
By the Board, Chairman Nottingham, Vice Chairman Mulvey, and
Commissioner Buttrey.
Anne K. Quinlan,
Acting Secretary.
Appendix
The cost of equity for each firm (ri) in the Morningstar/Ibbotson
three-stage DCF model is the solution to the following equation:
[GRAPHIC] [TIFF OMITTED] TN14AU08.010
Where,
MVi0 = market value of firm i in year 0 (i.e., the year for which
the cost of equity is being estimated)
CFit = average cash flow for firm i at the end of year t
gi1 = earnings growth rate for firm i in stage j (j = 1,
2, or 3).
IBEI10 = IBEI0
(1+g1)5(1+g2)5
IBEI0 is determined by the same process as CF0
The industry cost of equity (R) for the three-stage DCF model is
computed as the market value weighted average of the individual firm
cost of equity estimates:
[GRAPHIC] [TIFF OMITTED] TN14AU08.011
Where, si is firm i's share of the total industry market value
and N is the number of firms in the industry composite, such that:
[GRAPHIC] [TIFF OMITTED] TN14AU08.012
[FR Doc. E8-18865 Filed 8-13-08; 8:45 am]
BILLING CODE 4915-01-P