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Stock Selection Model revisited
In this report we analyse the performance of ABN AMRO's StockSelection Model since inception. We find that the model has shownsignificant predictive power over the last 18 months, while it hasdone especially well in terms of identifying outperforming stocks. Chart 1 : Information coefficient since inception
Jul 03 Oct 03 Jan 04 Apr 04 Jul 04 Oct 04
-10
0
10
20
%
Source: ABN AMRO
Picking the winners Our model has been especially successful in identifying stocks that are going to outperform. The model's top octile picks have outperformed the market by on average 1.3% per month since inception.
Value and earnings revisions are the driving factors Value and earning revisions are the driving force behind the model's performance, while the momentum factors performance has been relatively disappointing.
Dynamic weighting scheme The model uses a dynamic weighting scheme based on future predictions of the information coefficients. These predictions are shown to be accurate and unbiased. Our model has performed approximately 25% better than a comparable model based on static weights.
Global
www.abnamroresearch.com
Analysts
Stefan Hartmann ABN AMRO Bank N.V. +44 20 7678 7613 [email protected]
Peter Wesselius +44 20 7678 7623 [email protected]
Nick Aldred +44 20 7678 7139 [email protected]
Adam Strudwick +44 20 7678 2760 [email protected]
250 Bishopsgate, London, EC2M 4AA, United Kingdom
Disclosures and analyst certifications are at the end of the body of this research.
Friday 26 November 2004
Global Quantitative Analysis
Contents
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 2
A N A L Y S I S
Model success 3
We present the performance of the European Stock Selection Model since inception. The model was developed in 1Q03 and its live performance has been monitored on a monthly basis since May 2003.
Factor weight dynamics 6
The ABN AMRO Stock Selection Model uses a dynamic weighting scheme. We make predictions of future information coefficients based on their univariate and multivariate properties.
How to use the model 9
The output from the ABN AMRO Stock Selection Model can be used in a variety of ways. Below we give some examples.
T E A M
Advanced execution services - team 10
A N A L Y S I S
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 3
Model success
We present the performance of the European Stock Selection Model since
inception. The model was developed in 1Q03 and its live performance has
been monitored on a monthly basis since May 2003.
We find that the model has been especially successful in identifying stocks that are
going to outperform, and has significant predictive power overall. A more detailed
description of the model and its use of fundamental and pricing data can be found in
our initial publication on the model1.
Over recent years we have seen a significant shift in the importance of fundamental
variables. While at the end of the nineties growth stocks excelled and momentum-
based variables dominated the stock selection, the impact of value variables was
negligible or even negative during that period. In the aftermath of the TMT bubble,
the importance of fundamental variables changed dramatically and defensive
characteristics and cheapness were rewarded. We developed a stock selection model
that varies the weights of the fundamental variables based on forecasts on trends in
the underlying variables. The weighting scheme of the variables is thus dynamic and
changes on a monthly basis. Table 1 shows the model's monthly information
coefficients since inception (May 2003) until October 2004 and the top (bottom) octile
returns relative to the market.
Table 1 : Stock Selection Model performance
Information
coefficient
Top�bottom octile
return
Top octile -
market return
Market - bottom
octile return
May '03 24.7% 10.0% 8.9% 1.2%
Jun '03 10.8% 2.1% 3.6% -1.5%
Jul '03 -10.8% -6.5% 0.6% -7.2%
Aug '03 -1.8% -0.6% 2.1% -2.7%
Sep '03 14.7% 3.2% 0.6% 2.5%
Oct '03 -0.8% 0.1% 0.4% -0.3%
Nov '03 -0.9% -0.8% -1.1% 0.2%
Dec '03 12.8% 2.3% -1.4% 3.8%
Jan '04 9.6% 3.6% 5.3% -1.8%
Feb '04 -8.9% -2.5% 0.2% -2.7%
Mar '04 -3.1% -0.8% 0.1% -0.9%
Apr '04 -1.8% -0.1% -0.6% 0.5%
May '04 3.2% 0.7% 0.6% 0.2%
Jun '04 9.2% 1.5% 1.9% -0.4%
Jul '04 9.5% 2.4% 0.7% 1.7%
Aug '04 6.9% 1.8% 0.4% 1.4%
Sep '04 6.9% 1.4% 1.8% -0.5%
Oct '04 -1.1% -1.0% -0.5% -0.4%
Average 4.4% 0.9% 1.3% -0.4%
Standard Deviation 8.9% 3.3% 2.5% 2.4%
Information Ratio 1.7 1.0 1.8 -0.6
Source: ABN AMRO
The top (bottom) octile returns are calculated assuming an equal-weighted portfolio
of the top (bottom) 12.5% stocks. The results in table 1 show that our Stock
Selection Model has been especially successful in identifying stocks that are going to
outperform. The stocks in the top octile beat the market by on average 1.3% per 1 Global Quantitative Analysis - Separating the winners from the losers, 8 April 2003
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 4
A N A L Y S I S
month. The model has been somewhat disappointing in identifying the
underperforming stocks, as these stocks outperformed the market by on average
0.40%. It is currently not yet clear whether the difference in performance between
the top and bottom octile (relative to the market) is caused by a structural change in
the market due to the small sample size. In longer-term back-tests we have found
that the bottom octile stocks underperform more than the top octile stocks
outperform. Overall performance (top-bottom) has been satisfactory with an average
monthly return of 0.90% and an annualised information ratio of approximately 1.0. It
should be noted that this information ratio can be further improved upon by applying
a proper portfolio construction process. Further information about the optimisation
process and associated issues can be found in our publication on portfolio
construction2.
Chart 2 : Model and factor information coefficients (May 2003-October 2004)
Jul Oct Jan Apr Jul Oct
-10
0
10
20
IC (%
)
Stock Selection Model
Jul Oct Jan Apr Jul Oct
-20
-10
0
10
IC (%
)
Growth
Jul Oct Jan Apr Jul Oct
-30-20-10
01020
IC (%
)
LT Momentum
Jul Oct Jan Apr Jul Oct
-30-20-10
01020
IC (%
)
ST Momentum
Jul Oct Jan Apr Jul Oct
-10-505
1015
IC (%
)
Earnings Revisions
Jul Oct Jan Apr Jul Oct
-30
-20
-10
0
10
IC (%
)Size
Jul Oct Jan Apr Jul Oct
-20
0
20
40
IC (%
)
Risk
Jul Oct Jan Apr Jul Oct
-20
-10
0
10
20
IC (%
)
Profitability
Jul Oct Jan Apr Jul Oct
-505
101520
IC (%
)
Value
----- = historical long-term average IC Source: ABN AMRO
Chart 2 above shows the information coefficients (IC) for our European Stock
Selection Model and the individual component factors from May 2003 until October
2004. The dotted line in each of the charts represents the historical long-term
average IC, which we took from our initial publication on the European Stock
Selection Model3. We see that although the average Stock Selection Model's IC over
the past 18 months has been somewhat lower that its longer-term average (4.4% vs.
7.4%), the model does show significant predictive power. The model's annualised IR
is 1.7, measured by its average IC divided by the standard deviation of the IC. The
underlying data for chart 1 can be found in table 2.
2 Global Quantitative Analysis - Capturing alpha in the real world, 4 August 2004 3 Global Quantitative Analysis - Separating the winners from the losers, 8 April 2003
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 5
A N A L Y S I S
Of the eight aggregate factors included in our model, value has been the best
performer with an average IC of 4.9%, followed by earnings revisions (3.0%). Small
caps stocks have outperformed large caps stocks over the last 18 months, which can
be concluded from the very negative average information coefficient for the size
factor (-5.8%). Long-term momentum has an average IC of -3.1%, while its long-
term average is 3.3%. The lack of a clear market trend over the past two years is a
possible reason for this poor factor performance. The ICs of the four remaining
factors (growth, short-term momentum, risk and profitability) are on average very
close to zero, and apart from diversification, they have contributed little to our model
over the past 18 months.
Table 2 : Information coefficients May 2003- October 2004
% SSM Growth Long-term
momentum
Short-term
momentum
Earnings
revisions
Size Risk Profitability Value
May 2003 25 -17 -19 5 15 -17 16 -22 23
Jun 2003 11 -6 -25 -12 1 -25 17 -8 13
Jul 2003 -11 -19 -30 24 -8 -32 43 -21 8
Aug 2003 -2 1 -20 3 -9 -15 19 0 7
Sep 2003 15 3 3 -34 0 17 -29 5 9
Oct 2003 -1 -17 4 0 -2 -3 40 -19 2
Nov 2003 -1 4 3 1 2 -1 -17 -2 5
Dec 2003 13 14 3 6 17 5 -16 6 2
Jan 2004 10 -21 15 -4 2 -20 23 -22 12
Feb 2004 -9 2 -7 8 -6 -2 -9 5 -1
Mar 2004 -3 16 -7 13 12 -6 -29 19 -4
Apr 2004 -2 -2 -21 1 -2 -4 -15 8 7
May 2004 3 10 1 -1 7 5 -11 12 -4
Jun 2004 9 -2 11 -5 4 -9 6 -10 7
Jul 2004 10 12 2 3 19 1 -33 15 -3
Aug 2004 7 7 16 8 0 -3 -27 24 5
Sep 2004 7 -4 22 4 7 1 4 -1 -5
Oct 2004 -1 -6 -6 -5 -2 3 -3 -9 5
Average 4.4 -1.4 -3.1 0.8 3.0 -5.8 -1.2 -1.0 4.9
Standard deviation 8.9 11.4 15.0 11.8 8.2 12.0 23.4 14.2 6.9
Source: ABN AMRO
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 6
A N A L Y S I S
Factor weight dynamics
The ABN AMRO Stock Selection Model uses a dynamic weighting scheme. We
make predictions of future information coefficients based on their univariate
and multivariate properties.
The model�s weights are chosen such that they produce the maximum ratio of
average (IC)/standard deviation (IC), thereby taking into account the diversifying
effect of having exposure to multiple styles. The actual monthly model weights since
inception are shown in table 3. As discussed in the previous section, the short-term
momentum factor has been less successful recently and the model has reacted over
time by putting less weight on it, reducing it from
-40% to -30% over the past 18 months. In contrast, the profitability factor has seen
its weight nearly double to 25%, even though the average information coefficient for
the factor has been slightly negative. This effect is attributed to the correlation
between the factors and the increase in weight is due to its diversifying properties.
We have also seen decreases in weight for the long-term momentum, earnings
revisions and value factors.
Table 3 : Factor weights
% Growth Long-term
momentum
Short-term
momentum
Earnings
revisions
Size Risk Profitability Value
Jun 2003 -11 23 -40 60 -1 7 13 49
Jul 2003 -8 13 -33 56 2 8 12 50
Aug 2003 -15 9 -33 63 -2 12 10 54
Sep 2003 -14 11 -32 63 -5 13 17 48
Oct 2003 -12 12 -31 55 -4 11 22 47
Nov 2003 -17 16 -31 55 -3 14 20 47
Dec 2003 -12 17 -30 50 -1 11 21 44
Jan 2004 -10 18 -35 56 0 10 18 45
Feb 2004 -12 18 -36 57 -1 10 17 46
Mar 2004 -11 16 -33 55 -1 10 17 48
Apr 2004 -11 15 -33 55 -2 10 18 47
May 2004 -11 15 -32 56 -3 10 21 46
Jun 2004 -10 14 -32 54 -3 10 23 44
Jul 2004 -10 15 -31 54 -3 10 23 44
Aug 2004 -9 15 -30 52 -3 8 24 42
Sep 2004 -8 17 -34 53 0 9 19 45
Oct 2004 -9 17 -31 53 -4 8 24 42
Nov 2004 -8 16 -30 52 -4 7 25 42
Average -11 15 -33 55 -2 10 19 46
Source: ABN AMRO
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 7
A N A L Y S I S
The current factor correlation matrix is shown below. Similar to our experience in
earlier back-tests, we see that value and risk are the most diversifying factors, being
negatively correlated with most other factors. The most highly positively correlated
factors are growth and profitability.
Table 4 : Factor correlation, November 2004
% Growth Long-term
momentum
Short-term
momentum
Earnings
revisions
Size Risk Profitability
Long-term momentum 18
Short-term momentum 4 35
Earnings revisions 10 26 26
Size 7 2 10 7
Risk -19 -16 0 -7 -5
Profitability 42 15 0 11 13 -30
Value 0 -16 -15 -10 -6 4 0
Source: ABN AMRO
Table 5 : Performance contribution
Factor Score
Value 2.3
Earnings revisions 1.7
Size 0.1
Growth 0.1
Risk -0.1
Profitability -0.2
Short-term momentum -0.3
Long-term momentum -0.5
Source: ABN AMRO
We have also measured the performance contribution in order to give an indication of
the size and sign of the contribution that the individual factors have made to the
overall strategy. The factor contribution scores in table 5 have been calculated by
multiplying the 18-months average weight with the average IC. We see that value
(2.3) and earnings revisions (1.7) have been the driving force behind the model's
success, while the two momentum factors (-0.3 and -0.5) have actually made an
overall negative performance contribution over the last 18 months. Over the past 18
months the market was dominated by value factors. We find growth-related factors
tend to do poorly in this environment. This is reflected in the performance of the
long-term momentum factor. When growth stocks do well, momentum investing
becomes more effective as growth companies� competitive advantages lead to a
series of positive earnings surprises over several quarters. However in a value driven
environment mean reversion sets in for stocks with strong historical performance as
their value rankings deteriorate with price performance. The model has catered for
this by lowering the weights on long-term momentum over the past 18 months.
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 8
A N A L Y S I S
In chart 3 below we show the relationship between the predicted information
coefficients and the realised information coefficients (for four) of the factors. As the
predicted information coefficients are used to choose the optimal factor weights, it is
important that our overall predictions are 'good enough'. For example, we would
expect the slope in chart 3, depicting the relationship between the predicted and
realised information coefficients, to be close to one for a good model, as well as
statistically significant different from zero. This is indeed what we find4. This is further
evidence that the information coefficients predictions used in our model are accurate
and (statistically) unbiased.
Furthermore, we have compared the results of the Stock Selection Model with a
model using static weights. These static weights are taken to be the optimal weights
at the start of the 18-month live period (from May 2003 in table 3). We find that the
risk/return characteristics for the dynamic model are approximately 25% better than
for the static model.
Chart 3 : Information coefficients for selected factors May 2003-October 2004
Predicted IC (%)
Rea
lised
IC (%
)
-6 -4 -2 0 2 4 6
-20
0
20
40
ST MomentumEarn.RevisionProfitabilityValue
Source: ABN AMRO
4 Regression results: ActualIC = -1.05% + 1.17 * PredictedIC T-value -1.1 3.9 R2 = 0.097
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 9
A N A L Y S I S
How to use the model
The output from the ABN AMRO Stock Selection Model can be used in a
variety of ways. Below we give some examples.
Consistency check
Managers use the model to compare their holdings with the rankings of the stock
selection model, eg they would be concerned if a larger number of stocks with a low
ranking appear in their portfolio. On the other hand, an overlap of stock positions
with our buy list would support the choice of the manager. Many investors
concentrate on the changes in stock rankings and try to understand the drivers in the
revaluations. The model may dislike a stock due to its high valuation or due to
negative revisions of forecasted earnings. Fund managers are in a position to
understand the reasons for the changes in the stock rankings and should be able to
see if their investment case is still in place of if they need to react to changing market
conditions.
Stock screen
Quantitative models are often used as part of a qualitative investment process to
reduce the universe. The model output is used to reduce the number of potential
stocks to a manageable number that can be analysed in full detail.
Additional model
The model can also be used as an additional source of alpha in existing qualitative or
quantitative models. The way the Stock Selection Model can add value is twofold: its
alpha generation adds to the overall model alpha and it also adds value by
diversification. The proportion of the overall model that should be allocated to the
Stock Selection Model is dependent on the joint statistical behaviour of the
information coefficients.
Main quantitative model
The monthly alphas that are generated by our model can be used as the key source
of alpha in the portfolio construction process. We have successfully used these alphas
to build long only and long-short portfolios for various tracking errors and portfolio
sizes. We explicitly take transaction costs into account in our portfolio construction
process, focusing on returns after cost. A detailed discussion on this subject can be
found in our Capturing Alpha publication5.
5 Global Quantitative Analysis - Capturing Alpha in the Real World, 4 August 2004
T E A M
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 10
Advanced execution services - team
Table 6 : ABN AMRO portfolio product sales contacts
London
Gijsbert de Lange [email protected] +44 20 7678 3403
Mike de Friend [email protected] +44 20 7678 1620
Brian Curran [email protected] +44 20 7678 3698
Neill Flack [email protected] +44 20 7678 1083
US
Brenda Colon [email protected] +1 212 409 7138
Peter Krase [email protected] +1 212 409 7138
Vivek Arora [email protected] +1 212 409 7138
Asia
Jason Barrow [email protected] +852 2700 5193
Kee Meng Tan [email protected] +852 2700 5193
Lorraine Ho [email protected] +852 2700 5193
Japan
Mimiko Adachi [email protected] +813 5405 6256
Hiroyuki Yokoyama [email protected] +813 5405 6865
Source: ABN AMRO
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 11
DISCLOSURES
Recommendation structure
Absolute performance recommendation: The target price and absolute recommendation are based on implied upside/downside for the stock relative to the market.A Buy/Sell implies upside/downside of 15% or more; an Add/Reduce implies upside/downside of 5-15%; and a Hold implies less than 5% upside/downside.
Sector relative to market: The sector view relative to the market is the responsibility of the strategy team. Overweight (OW)/Underweight (UW) implies upside/downside of 10% or more and Neutral (N) implies less than 10% upside/downside.
Asset allocation: The asset allocation is the responsibility of the economics team. The recommended weight (Over, Neutral and Under) for equities, cash and bonds is based on a number of metrics and does not relate to a particular size change in one variable.
Target price: The target price is the level the stock should currently trade at if the market were to accept the analyst's view of the stock and if the necessary catalysts were in place to effect this change in perception within the performance horizon. In this way, therefore, the target price abstracts from the need to take aview on the market or sector. If it is felt that the catalysts are not fully in place to effect a re-rating of the stock to its warranted value, the target price will differ from 'fair' value.
Performance parameters and horizon: Given the volatility of share prices and our predisposition not to change recommendations frequently, these performance parameters should be interpreted flexibly. Performance in this context only reflects capital appreciation and the horizon is 6-12 months.
Distribution of recommendations
The table opposite shows the distribution of ABN AMRO's recommendations.The first column displays the distribution of recommendations globally andthe second column shows the distribution for the region. Numbers inbrackets show the percentage for each category where ABN AMRO has aninvestment banking relationship. In all cases the numbers include bothabsolute and sector relative recommendations.
Recommendation distribution (as at 9 Nov 2004)
Global total (IB%)
Buy 451 (22)
Add 337 (27)
Hold 379 (18)
Reduce 154 (8)
Sell 59 (10)
Total (IB%) 1380 (20)
G L O B A L Q U A N T I T A T I V E A N A L Y S I S 2 6 N O V E M B E R 2 0 0 4 12
DISCLAIMER
Copyright 2004 ABN AMRO Bank N.V. and affiliated companies ("ABN AMRO"). All rights reserved.
This material was prepared by the ABN AMRO affiliate named on the cover or inside cover page. It is provided for informational purposes only and does not constitute an offer to sell or a solicitation to buy any security or other financial instrument. While based on information believed to be reliable, no guarantee isgiven that it is accurate or complete. While we endeavour to update on a reasonable basis the information and opinions contained herein, there may be regulatory,compliance or other reasons that prevent us from doing so. The opinions, forecasts, assumptions, estimates, derived valuations and target price(s) contained inthis material are as of the date indicated and are subject to change at any time without prior notice. The investments referred to may not be suitable for thespecific investment objectives, financial situation or individual needs of recipients and should not be relied upon in substitution for the exercise of independent judgement. ABN AMRO may from time to time act as market maker, where permissible under applicable laws, or, as an agent or principal, buy or sell securities,warrants, futures, options, derivatives or other financial instruments referred to herein. ABN AMRO or its officers, directors, employee benefit programmes oremployees, including persons involved in the preparation or issuance of this material, may from time to time have long or short positions in securities, warrants, futures, options, derivatives or other financial instruments referred to in this material. ABN AMRO may at any time solicit or provide investment banking,commercial banking, credit, advisory or other services to the issuer of any security referred to herein. Accordingly, information may be available to ABN AMRO,which is not reflected in this material, and ABN AMRO may have acted upon or used the information prior to or immediately following its publication. Within the lastthree years, ABN AMRO may also have acted as manager or co-manager for a public offering of securities of issuers referred to herein. The stated price of anysecurities mentioned herein is as of the date indicated and is not a representation that any transaction can be effected at this price. Neither ABN AMRO nor other persons shall be liable for any direct, indirect, special, incidental, consequential, punitive or exemplary damages, including lost profits arising in any way from theinformation contained in this material. This material is for the use of intended recipients only and the contents may not be reproduced, redistributed, or copied inwhole or in part for any purpose without ABN AMRO's prior express consent. In any jurisdiction in which distribution to private/retail customers would require registration or licensing of the distributor which the distributor does not currently have, this document is intended solely for distribution to professional andinstitutional investors.
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Singapore: Any report referring to equity securities is distributed in Singapore by ABN AMRO Asia Securities (Singapore) Pte Limited (RCB Regn No. 198703346M)to clients who fall within the description of persons in Regulation 49(5) of the Securities and Futures (Licensing and Conduct of Business) Regulations andRegulations 34 and 35 of the Financial Advisers Regulations. Any report referring to non-equity securities is distributed in Singapore by ABN AMRO Bank NV (Singapore Branch) Limited to clients who fall within the description of persons in Regulations 34 and 35 of the Financial Advisers Regulations. Investors should note that this material was prepared for accredited investors only. Recipients who do not fall within the description of persons under Regulation 49(5) of theSecurities and Futures (Licensing and Conduct of Business) Regulations or Regulations 34 and 35 of the Financial Advisers Regulations should seek the advice oftheir independent financial advisor prior to taking any investment decision based on this document or for any necessary explanation of its contents.
United Kingdom: Equity research is distributed in the United Kingdom by ABN AMRO Equities (UK) Limited, which is registered in England (No 2475694), and isauthorised and regulated by the Financial Services Authority. All other research is distributed in the United Kingdom by ABN AMRO Bank NV, London Branch, which is authorised by the Dutch Central Bank and by the Financial Services Authority; and regulated by the Financial Services Authority for the conduct of UK business.The investments and services contained herein are not available to private customers in the United Kingdom.
United States: Distribution of this document in the United States or to US persons is intended to be solely to major institutional investors as defined in Rule 15a-6(a)(2) under the US Securities Act of 1934. All US persons that receive this document by their acceptance thereof represent and agree that they are a majorinstitutional investor and understand the risks involved in executing transactions in securities. Any US recipient of this document wanting additional information or to effect any transaction in any security or financial instrument mentioned herein, must do so by contacting a registered representative of ABN AMROIncorporated, Park Avenue Plaza, 55 East 52nd Street, New York, N.Y. 10055, US, tel + 1 212 409 1000, fax +1 212 409 5222.
- Material means all research information contained in any form including but not limited to hard copy, electronic form, presentations, e-mail, SMS or WAP.
Regulatory disclosures
_________________________________________________________________________________________________________________________________
The research analyst or analysts responsible for the content of this research report certify that: (1) the views expressed and attributed to the research analyst or analysts in the research report accurately reflect their personal opinion(s) about the subject securities and issuers and/or other subject matter as appropriate; and,(2) no part of his or her compensation was, is or will be directly or indirectly related to the specific recommendations or views contained in this research report.On a general basis, the efficacy of recommendations is a factor in the performance appraisals of analysts.
_________________________________________________________________________________________________________________________________
For a discussion of the valuation methodologies used to derive our price targets and the risks that could impede their achievement, please refer to our latestpublished research on those stocks at www.abnamroresearch.com.
Disclosures regarding companies covered by ABN AMRO group can be found on ABN AMRO's research website at www.abnamroresearch.com.
Should you require additional information please contact the relevant ABN AMRO research team or the author(s) of this report.