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20.05.2018
What Should be the Dependent Variable in Marketing-
Related Event Studies?
Bernd Skiera, Emanuel Bayer, and Lisa Schöler
International Journal of Research in Marketing,
Vol. 34, Issue 3, 641-659,
(http://dx.doi.org/10.1016/j.ijresmar.2017.01.002)
120.05.2018
Summary of Paper published in International
Journal of Research in Marketing
Open Access Availability: https://www.sciencedirect.com/science/article/pii/S0167811617300046?via%3Dihub
220.05.2018
Description of Current Approach
to Conduct Event Studies
320.05.2018
Basic Idea of Event Study
• Pioneered in accounting and finance
• Later used in other areas such as marketing
• Basic concept
• Stock price reflects true value of firm (i.e., discounted future cash flows)
• Financial markets are efficient
• Stock prices react to new (valuable) information
• Changes in stock price reflect value of unanticipated event (Fama 1970; 1991)
• Procedure: Collect sample of observations of one event type
• Step 1: Average value of event (compared to benchmark)
• Percentage return in stock price (usual approach but problematic)
• Absolute change in market capitalization (hardly used, not problematic)
• Step 2: Determinants of value of event
420.05.2018
Current Practice in Event Studies
• Step 1: Calculate percentage return (CARSHV) due to arrival of new information (i.e.,
event)
• Derive percentage change in stock price
• Step 2: Use CARSHV as dependent variable and regress on characteristics of events
t
Stock
Price
Difference reflect value of event
(usually measured as percentage change in stock price)
Event
k
SHV
i it
t=1
CAR = ARSHV
it it itAR = R E(R )
Actual Stock Price
Expected Stock Price
(1) (2)
J
SHV
i j ij i
j=1
CAR = α + β CHAR + ε .(3)
520.05.2018
Financial Structure of Firms
620.05.2018
Valuation Theory
Non-operating assets (NOA) and Debt
Purpose of NCB activities
• Realization of additional returns
• Employment of excess cash resources
NCB is responsible for
• Other income and expense
Operating Business (OB)
Purpose of OB activities
• Selling products (goods & services)
OB is responsible for
• Revenues
• Costs of goods sold (COGS)
• Operating expense $
• Operating assets = assets used by
firms in core business operations
• Property
• Plant & equipment
• Natural resources
• Intangible assets
• Non-Operating assets = play no
role in firm’s operations
• Excess cash
• Marketable securities
(commercial papers, money
market instruments)
• Debt
• Corporate bonds
Damodaran, A. (2006), “Damodaran on Valuation: Security Analysis for Investment and Corporate Finance”, New York: John Wiley & Sons.
Schulze, C., Skiera, B., & Wiesel, T. (2012), “Linking Customer and Financial Metrics to Shareholder Value: The Leverage Effect in Customer-Based
Valuation”, Journal of Marketing, 76(2), 17–32.
720.05.2018
Different Parts of Shareholder Value (SHV)
Value of operating
business
• Value of assets
used in core busi-
ness operations
• Examples are
property, plant,
equipment, natural
resources and
intangible assets
+ NOB
Value of Non-
Operating Business
• Value of excess
cash and short-
term investments
• Not needed to run
operating business
Debt / Non-Equity
Claims
• Money generating
value for firm
• But not owned by
shareholders
• Borrowed at
interest
− Debt
* for simplicity, before applicable tax which would affect both sides of the equation similarly
Value to stock
owners*, also called
• Market
capitalization
• Value of Equity
=OB
Damodaran, A. (2006), “Damodaran on Valuation: Security Analysis for Investment and Corporate Finance”, New York: John Wiley & Sons.
Schulze, C., Skiera, B., & Wiesel, T. (2012), “Linking Customer and Financial Metrics to Shareholder Value: The Leverage Effect in Customer-Based
Valuation”, Journal of Marketing, 76(2), 17–32.
820.05.2018
Examples of Value of Non-Operating Business
• Apple (end of 2015)
• $216 billion
• Microsoft (end of 2016)
• $103 billion
920.05.2018
Effects of Different Kinds of Events
1020.05.2018
Impact of Event on Different Parts of SHV
Operating Business Non-operating assets Debt+ -
SHV
=
Event
? ?!
1120.05.2018
Different Types of Events
• Influence all part of SHV
• Ability to earn money with core
business operations
• Lead to re-evaluation of (relation
of) non-operating assets and debt
• Examples:
• Regulatory changes (e.g., change
in tax level, introduction of new
tax)
• Natural disasters (e.g., nuclear
accident, earthquake)
Typical Marketing-Related EventsTypical Events in Finance and Economics
• Only influence value of operating
business
• Examples:
• Firing of advertising agency
• New product’s visual appearance
• Change of name of firm
1220.05.2018
Numerical Example to Illustrate
Basic Idea of Solution
1320.05.2018
Firm A in Numerical Example (1/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets: $0
• Debt: $0
• Shareholder Value = $1,000
• Leverage Ratio = 1 (=$1,000/$1,000)
• Event 1: +$30
• Shareholder Value after Event 1
• Value of Operating Business: $1,000 + $30 = $1,030
• Non-operating assets: $0
• Debt: $0
• Shareholder Value = $1,030
• Cumulative Abnormal Return of Event 1
• +$30
• CARSHV: $30 / $1,000 = 3%
• CAROB: $30 / $1,000 = 3%
1420.05.2018
Firm A in Numerical Example (2/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets: $0
• Debt: $0
• Shareholder Value = $1,000
• Leverage Ratio = 1
• Event 2: -$60
• Shareholder Value after Event 2
• Value of Operating Business: $1,000 - $60 = $940
• Non-operating assets: $0
• Debt: $0
• Shareholder Value = $940
• Cumulative Abnormal Return of Event 2
• -$60
• CARSHV: -$60 / $1,000 = -6%
• CAROB: -$60 / $1,000 = -6%
1520.05.2018
Firm A in Numerical Example (3/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets: $0
• Debt: $0
• Shareholder Value = $1,000
• Leverage Ratio = 1
• Event 3: $50
• Shareholder Value after Event 3
• Value of Operating Business: $1,000 + $50 = $1,050
• Non-operating assets: $0
• Debt: $0
• Shareholder Value = $1,050
• Cumulative Abnormal Return of Event 3
• +$50
• CARSHV: $50 / $1,000 = 5%
• CAROB: $50 / $1,000 = 5%
1620.05.2018
Firm B in Numerical Example (1/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets: $1,000
• Debt: $0
• Shareholder Value = $2,000
• Leverage Ratio = 0.5 (=$1,000/$2,000)
• Event 1: +$30
• Shareholder Value after Event 1
• Value of Operating Business: $1,000 + $30 = $1,030
• Non-operating assets: $1,000
• Debt: $0
• Shareholder Value = $2,030
• Cumulative Abnormal Return of Event 1
• +$30
• CARSHV: $30 / $2,000 = 1.5%
• CAROB: $30 / $1,000 = 3.0%
1720.05.2018
Firm B in Numerical Example (2/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets: $1,000
• Debt: $0
• Shareholder Value = $2,000
• Leverage Ratio = 0.5
• Event 2: -$60
• Shareholder Value after Event 2
• Value of Operating Business: $1,000 - $60 = $940
• Non-operating assets: $1,000
• Debt: $0
• Shareholder Value = $1,940
• Cumulative Abnormal Return of Event 2
• -$60
• CARSHV: -$60 / $2,000 = -3%
• CAROB: -$60 / $1,000 = -6%
1820.05.2018
Firm B in Numerical Example (3/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets: $1,000
• Debt: $0
• Shareholder Value = $1,000
• Leverage Ratio = 0.5
• Event 3: $50
• Shareholder Value after Event 3
• Value of Operating Business: $1,000 + $50 = $1,050
• Non-operating assets: $1,000
• Debt: $0
• Shareholder Value = $2,050
• Cumulative Abnormal Return of Event 3
• +$50
• CARSHV: $50 / $2,000 = 2.5%
• CAROB: $50 / $1,000 = 5.0%
1920.05.2018
Firm C in Numerical Example (1/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets:$0
• Debt: $900
• Shareholder Value = $100
• Leverage Ratio = 10 (=$1,000/$100)
• Event 1: +$30
• Shareholder Value after Event 1
• Value of Operating Business: $1,000 + $30 = $1,030
• Non-operating assets: $0
• Debt: $900
• Shareholder Value = $130
• Cumulative Abnormal Return of Event 1
• +$30
• CARSHV: $30 / $100 = 30%
• CAROB: $30 / $1,000 = 3%
2020.05.2018
Firm C in Numerical Example (2/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets: $0
• Debt: $900
• Shareholder Value = $100
• Leverage Ratio = 10
• Event 2: -$60
• Shareholder Value after Event 2
• Value of Operating Business: $1,000 - $60 = $940
• Non-operating assets: $0
• Debt: $900
• Shareholder Value = $40
• Cumulative Abnormal Return of Event 2
• -$60
• CARSHV: -$60 / $100 = -60%
• CAROB: -$60 / $1,000 = -6%
2120.05.2018
Firm C in Numerical Example (3/3)
• Shareholder Value before Event:
• Value of Operating Business: $1,000
• Non-operating assets: $0
• Debt: $900
• Shareholder Value = $100
• Leverage Ratio = 10
• Event 3: $50
• Shareholder Value after Event 3
• Value of Operating Business: $1,000 + $50 = $1,050
• Non-operating assets: $0
• Debt: $900
• Shareholder Value = $150
• Cumulative Abnormal Return of Event 3
• +$50
• CARSHV: $50 / $100 = 50%
• CAROB: $50 / $1,000 = 5%
2220.05.2018
Summary of Differences between CARSHV and
CAROB
CARSHV Firm A Firm B Firm C Average
Leverage Effect 1 0.5 10 3.83
Event 1: +30 3% 1.5% 30% 11.50%
Event 2: -60 -6% -3% -60% -23.00%
Event 3: +50 5% 2.5% 50% 19.17%
Average 0.67% 0.33% 6.67% 2.56%
CAROB Firm A Firm B Firm C Average
Leverage Effect 1 0.5 10 3.83
Event 1: +30 3% 3% 3% 3%
Event 2: -60 -6% -6% -6% -6%
Event 3: +50 5% 5% 5% 5%
Average 0.67% 0.67% 0.67% 0.67%
2320.05.2018
Differences between CARSHV and CAROB if Firm C
is Not Subject to Event 3
CAROB Firm A Firm B Firm C Average
Leverage Effect 1 0.5 10 3.83
Event 1: +30 3% 1.5% 30% 11.50%
Event 2: -60 -6% -3% -60% -23.00%
Event 3: +50 5% 2.5% 3.75%
Average 0.67% 0.33% -45.00% -3.38%
CAROB Firm A Firm B Firm C Average
Leverage Effect 1 0.5 10 3.83
Event 1: +30 3% 3% 3% 3.00%
Event 2: -60 -6% -6% -6% -6.00%
Event 3: +50 5% 5% 5.00%
Average 0.67% 0.67% -1.5% 0.13%
2420.05.2018
Model I:
CARSHV
Model II:
CARSHV
Model III:
CAROB
9 observations 8 observations 9 observations 8 observations 9 observations 8 observations
DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09
DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02
Leverage .0067 .0149
Intercept .1150 .1150 .0894 .1722 .03 .03
N 9 8 9 8 9 8
R2
.43 .43 .44 .48 1.00 1.00
Adj. R2
.24 .20 .11 .10 1.00 1.00
Summary of Regression Results
(9 Observations)
Event
Dummies as
independent
variables to
explain CAR
Including leverage effect as independent
variable still yields differences!
• Coefficients in Model III
• Difference between DV_Event2 and DV_Event3 = 0.02 – (-0.09) = 0.11
• Difference between DV_Event2 and DV_Event1 = 0.02 – 0 = 0.02
• Coefficients in Model I
• Difference between DV_Event2 and DV_Event3 = 0.0767 – (-0.3450) = 0.4217 = 3.83 x 0.11
• Difference between DV_Event2 and DV_Event1 = 0.0767 – 0 = 0.0767 = 3.83 x .02
Event 1: +30; Event 2: -60; Event 3: +50
2520.05.2018
Model I:
CARSHV
Model II:
CARSHV
Model III:
CAROB
9 observations 8 observations 9 observations 8 observations 9 observations 8 observations
DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09
DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02
Leverage .0067 .0149
Intercept .1150 .1150 .0894 .1722 .03 .03
N 9 8 9 8 9 8
R2
.43 .43 .44 .48 1.00 1.00
Adj. R2
.24 .20 .11 .10 1.00 1.00
Summary of Regression Results
(8 Observations)
Event
Dummies as
independent
variables to
explain CAR
Including leverage effect as independent
variable still yields differences!
Sign of coefficients may change when choosing CAROB instead of CARSHV as dependent variable in regression
• Coefficients in Model III
• Difference between DV_Event2 and DV_Event3 = 0.02 – (-0.09) = 0.11
• Difference between DV_Event2 and DV_Event1 = 0.02 – 0 = 0.02
• Coefficients in Model I
• Difference between DV_Event2 and DV_Event3 = -0.0775 – (-0.3450) = 0.2675
• Difference between DV_Event2 and DV_Event1 = -0.0775 – 0 = -0.0775
2620.05.2018
Model I:
CARSHV
Model II:
CARSHV
Model III:
CAROB
9 observations 8 observations 9 observations 8 observations 9 observations 8 observations
DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09
DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02
Leverage .0067 .0149
Intercept .1150 .1150 .0894 .1722 .03 .03
N 9 8 9 8 9 8
R2
.43 .43 .44 .48 1.00 1.00
Adj. R2
.24 .20 .11 .10 1.00 1.00
Summary of Regression Results
Event
Dummies as
independent
variables to
explain CAR
Including leverage effect as independent
variable still yields differences!
• Coefficients in Model III
• Difference between DV_Event3 and DV_Event1 = 0.02 – 0 = 0.02
• Coefficients in Model I
• 9 obs: Difference between DV_Event3 and DV_Event1 = 0.0767 – 0 = 0.0767 = 3.83 x 0.02
• 8 obs: Difference between DV_Event3 and DV_Event1 = -0.0775 – 0 = -0.0775 = -3.88 x 0.02
2720.05.2018
Moderating Effect of Leverage Effect
CARSHV
9 observations 8 observations
DummyEvent1×LE .03 .03
DummyEvent2×LE -.06 -.06
DummyEvent3×LE .05 .05
Intercept .00 .00
N 9 8
R2
1.00 1.00
Adj. R2
1.00 1.00
Model I:
CARSHV
Model II:
CARSHV
Model III:
CAROB
9 observations 8 observations 9 observations 8 observations 9 observations 8 observations
DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09
DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02
Leverage .0067 .0149
Intercept .1150 .1150 .0894 .1722 .03 .03
N 9 8 9 8 9 8
R2
.43 .43 .44 .48 1.00 1.00
Adj. R2
.24 .20 .11 .10 1.00 1.00
• Multiplying every independent
variable with leverage effect
yields same result as adjusting
dependent variable
2820.05.2018
LE = 1 LE > 1 LE < 1
CAROB
> 0
(positive effect)
CARSHV
= CAROB
(correct estimation)
CARSHV
> CAROB
(Inflation
of “true” effect)
CARSHV
< CAROB
(Deflation
of “true” effect)
CAROB
< 0
(negative effect)
CARSHV
= CAROB
(correct estimation)
CARSHV
< CAROB
CARSHV
 > CAROB

(Inflation
of “true” effect)
CARSHV
> CAROB
CARSHV
 < CAROB

(Deflation
of “true” effect)
Relationship Between CARSHV and CAROB for
Different Leverage Ratios
Notes: LE: Leverage effect, CARSHV: cumulative abnormal return on shareholder value; CAROB: cumulative abnormal
return on operating business; x represents the absolute value of x.
2920.05.2018
Solution
3020.05.2018
New Dependent Variable for Marketing-Related
Event Studies
• Cumulative Abnormal Return on Value of Operating Business (CAROB)
• Link between CARSHV and CAROB
where
Example:
• LE = Leverage Effect
• Captures financial structure of firm
• Information on NOA and Debt is available in firms‘ financial statements
• 1% change in OB leads to LE% change in SHV
before
SHV
OB i
i
i
CAR
CAR
LE

OB SHV-NOA+DEBT DEBT-NOA
LE = = = 1+
SHV SHV SHV
100
OB=100; DEBT=30: LE = = 1.43
70
100
OB=100; NOA=40: LE = = =0.71
140
100 100
OB=100; NOA=10; DEBT=45.5: LE = = = 1.55
100+10-45.5 64.5
3120.05.2018
Size and Variation of Leverage Effect
3220.05.2018
Calculation of Leverage Ratio
• Compustat Data Items (CDI):
• DEBT = total debt
long-term debt payable within a year (dd1) +
long-term debt (dltt) +
value of preferred stock (pstk)
• NOA = non-operating assets
short‐term investments (ivst)
• SHV = shareholder value
price close - annual - fiscal (prcc_f) ×
common shares outstanding (csho)
OB SHV-NOA+DEBT DEBT-NOA
LE = = = 1+
SHV SHV SHV
3320.05.2018
Data to Calculate Leverage Effect
VariablesData
• S&P Total Market Index
• 4,903 firms
• 17 years (1998-2014)
• 62,012 firm-year observations
• DEBT = total debt
• Compustat Data Item (CDI):
• long-term debt payable within a year
(dd1) +
• long-term debt (dltt) +
• value of preferred stock (pstk)
• NOA = non-operating assets
• short‐term investments (ivst)
• SHV = shareholder value
• price close - annual - fiscal (prcc_f) ×
• common shares outstanding (csho)
OB SHV-NOA+DEBT DEBT-NOA
LE = = = 1+
SHV SHV SHV
3420.05.2018
Distribution of Leverage Effect of Firms in S&P
Total Market Index
Table is not shown in Skiera, Bayer & Schöler (2017)
3520.05.2018
Descriptive Analysis of Leverage Effect
• Average leverage effect across firms: 1.56 (SD=1.67)
• Value of Operating Business 56% higher than shareholder value
• Example:
• Value of Operating Business (OB): 100
• Debt: 35.7
• Non-Operating Assets (NOA): 0
• Ratio of 100 and 64.3 (=100-35.7): 1.56
• Cross-firm analysis
• Average leverage effect in highest ventile (top 5%): 2.67
• Average leverage effect in lowest ventile (bottom 5%): .84
• CARSHV of highest ventile firm receives three times (2.67/0.84 ≈ 3.2) higher weight
in calculation of average CARSHV than lowest ventile firm
3620.05.2018
a) Histogram of Within-firm Variations of
Leverage Effects over Time
b) Histogram of Cross-Firm Variations of
Leverage Effects (1998-2014)
05
10152025
Percent
0 .5 1 1.5 2 2.5
Coefficient_of_Variation
0
10203040
Percent
.6 .8 1 1.2 1.4
Coefficient_of_Variation
Average value of variation coefficient: .25
SD of variation coefficient: .28
N= 4,461 firms (442 firms were dropped
because only 1 year of data was available)
Average value of variation coefficient: 1.21
SD of variation coefficient: .55
N=17 years
Within-Firm versus Cross-Firm Variation of
Leverage Effects
Distribution: Log-Logistic (scale parameter = 4.41, shape parameter = 1.22)
3720.05.2018
Simulation Study
3820.05.2018
Design of Simulation Study
Experimental factors Number of factor levels Factor levels
Leverage ratio 1  Random draw from log-
logistic distribution fit-
ted on real data (scale
parameter = 4.41, shape
parameter = 1.22)
Coefficient α, β1, β2 1  α=.1, β1=.2, β2=-.4
Variable x1 1  Uniform Distribution
[-10; +10]
Variable x2 1  Uniform Distribution
[-10; +10]
Number of Firm-instance
Observations (i.e., sample size)
2  Small: 100
 Large: 500
Number of Experimental
Settings
2
Number of Replications 100
Number of Event Studies 1002=200
OB
i 1 i 2 iCAR = α + β x1 + β x2
3920.05.2018
Results of Simulation Study
ResultsAims
• Step 1 of event study: Sign of CAROB and
CARSHV
• Step 2 of event study: Sign of coefficients
of regression
• Determinants of deviations between
event studies with CAROB and CARSHV
• Step 1 of Event Study:
• Difference in sign: 10.5%
• Type I error: 16.7% (Model with CARSHV
erroneously finds sig. difference from zero)
• Type II error: 28.6% (Model with CARSHV
fails to detect sig. difference from zero)
• Step 2 of Event Study:
• Type I error: 1.7% (Model with CARSHV
erroneously finds significant coefficient)
• Type II error: 9.0% (Model with CARSHV
fails to find significant coefficient)
• Deviations are particularly pronounced if
• Correlation between CAROB and
leverage effect is high
• Sample size is small
4020.05.2018
Calculations of Percentage Deviations
SHV
rCAR
r OB
r
CAR
1RATIO
CAR
 
SHV
rCoeff
r OB
r
Coeff
1RATIO
Coeff
  with: Coeffr= {r, 1r, 2r}
4120.05.2018
Histogram of Ratio between CARSHV and CAROB
4220.05.2018
Histogram of Ratio between Coefficients of
Models with CARSHV and CAROB as Dep. Variable
4320.05.2018
Regression Analysis to Examine Differences
Between Estimated Coefficients and True Values
Independent Variables Coeff SE
Correlation between CAROB and leverage effect .37 (.71) ***
Sample Size -.32 (.06) ***
Constant -.00 (.38)
N (200 event studies × 3 coefficients (α, β1, β2)) 600
R-square .05
4420.05.2018
Reanalyses of Prior Event Studies
4520.05.2018
Overview about Reanalyzed Event Studies
• Bornemann, Torsten, Lisa Schöler, and Christian Homburg (2015), "In the Eye of
the Beholder? The Effect of Product Appearance on Shareholder Value," Journal
of Product Innovation Management, 32 (5), 704-715
• Aim of event study: Analysis of Importance of product design decisions
• Aesthetic value (perceptions of the visual attractiveness of product)
• Ergonomic value (ability of product to communicate its utilitarian function)
• Symbolic value (ability of product to reflect the (desired) identity of its owner)
• Kulkarni, Mukund S., Premal P. Vora, and Terence A. Brown (2003), "Firing
Advertising Agencies: Possible Reasons and Managerial Implications," Journal of
Advertising, 32 (3), 77-86.
• Aim of event study: Analysis of Effect of firing of advertising agency
• Karpoff, J. M., & Rankine, G. (1994). In Search of a Signaling Effect: The Wealth
Effects of Corporate Name Changes. Journal of Banking & Finance, 18(6), 1027–
1045
• Aim of event study: Analysis of Effect of a firm’s name change
4620.05.2018
Differences in Determinants of Cumulative
Abnormal Returns in Bornemann et al. (2015)
Variables Regressions
Model I Model II
CARSHV CAROB
Functional Product Advantage .41 *** .27 **
Aesthetic Value .33 .53 ***
Ergonomic Value .26 ** .29 **
Symbolic Value -.43 ** -61 ***
Aesthetic Value × Functional Product Advantage .32 ** .49 ***
Ergonomic Value × Functional Product Advantage .00 -.01
Symbolic Value × Functional Product Advantage -.28 ** -.42 ***
CV: Industry -.13 -.08
CV: Firm Size -.19 * -.28 ***
CV: Brand Familiarity -.41 *** -.25 **
R2
.49 .52
Adj. R2
.41 .45
N 83 83
• CAROB allows for detecting the expected (given accepted theory) value-creating effect of
a product’s aesthetic value
4720.05.2018
Variables/
Fit Measures
Regressions
Model I Model II
CARSHV CAROB
Intercept -.01 -.01
SG4-IA .09 * .08
ROE-IA .02 .02
ROESG4 -.03 -.03
R2 .21 .20
Adj. R2 .14 .13
N 36 36
Differences in Determinants of Size of Abnormal
Return in Kulkarni, Vora, and Brown (2003)
Notes: * Significant at 5% level; ** Significant at 1% level.
SG4-IA is the industry-adjusted growth in sales from quarter 4 to quarter 1;
ROE-IA is the industry-adjusted return on equity;
ROESG4 is the interaction between ROE-IA and SG4-IA.
4820.05.2018
Differences in Descriptive Statistics for CARSHV
and CAROB in Karpoff and Rankine (1994)
Mean SD n
Comparison
Value
t df
Total Sample
CARSHV .58% .05 110 0 1.33 109
CAROB -.01% .04 110 0 -.03 109
Name change announced in WSJ for the first time
CARSHV† 1.20% .04 57 0 2.16* 56
CAROB† .85% .03 57 0 2.01* 56
Name change announced in proxy statement before WSJ
CARSHV -.09% .05 53 0 -.14 52
CAROB -.93% .04 53 0 -1.58 52
* p < .05, ** p < .01, *** p < .001. SD = Standard deviation. df: degrees of freedom. † Non-parametric Wilcoxon signed-rank test rejects the null
hypothesis of zero abnormal returns at 10% level for both CARSHV (Z = 1.88, p < .10) and CAROB (Z = 1.67, p < .10); a generalized sign test also
rejects the null hypothesis of zero abnormal returns at the 10% level.
4920.05.2018
Summary of Reanalysis of Previously Published
Marketing Event Studies
Bornemann,
Schöler, &
Homburg (2015)
Kulkarni, Vora,
& Brown (2003)
Karpoff &
Rankine (1994)
Average leverage effect 2.19 1.08 1.80
Average cross-firm variation coefficient
of leverage effect
.76 .24 .57
Share of firms with leverage effect <1 17% 24% 13%
Lowest value of leverage effect .66 .86 .40
Highest value of leverage effect 9.37 2.12 6.78
Ratio of highest to lowest value
of leverage effect
14.20 2.47 16.95
Percentage difference between
average CARSHV
and average CAROB
CARSHV
is
13.27% higher
than CAROB
CAROB
is 12.12%
lower than
CARSHV
CAROB
and
CAROB
differ in
sign
Correlation between CAROB
and
leverage effect
-.27 .14 .15
Substantive insight Insignificant ef-
fect turns into
significant effect
(second step of
event study)
Significant effect
turns into insig-
nificant effect
(second step of
event study)
CAR remains
insignificant but
differs in sign
(first step of
event study)
5020.05.2018
Conclusion
5120.05.2018
Think very carefully about the dependent
variable in your event study
5220.05.2018
Authors of the Study
Bernd Skiera
skiera@wiwi.uni-frankfurt.de
Emanuel Bayer
embayer@wiwi.uni-frankfurt.de
Lisa Schöler
lisa.schoeler@strategyand.de.pwc.com
5320.05.2018
Overview of Regression Results
Model I:
CARSHV
Model II:
CARSHV
Model III:
CAROB
9 observations 8 observations 9 observations 8 observations 9 observations 8 observations
DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09
DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02
Leverage .0067 .0149
Intercept .1150 .1150 .0894 .1722 .03 .03
N 9 8 9 8 9 8
R2 .43 .43 .44 .48 1.00 1.00
Adj. R2 .24 .20 .11 .10 1.00 1.00

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Skiera bayer-schoeler-event-study-2018-05-20

  • 1. 20.05.2018 What Should be the Dependent Variable in Marketing- Related Event Studies? Bernd Skiera, Emanuel Bayer, and Lisa Schöler International Journal of Research in Marketing, Vol. 34, Issue 3, 641-659, (http://dx.doi.org/10.1016/j.ijresmar.2017.01.002)
  • 2. 120.05.2018 Summary of Paper published in International Journal of Research in Marketing Open Access Availability: https://www.sciencedirect.com/science/article/pii/S0167811617300046?via%3Dihub
  • 3. 220.05.2018 Description of Current Approach to Conduct Event Studies
  • 4. 320.05.2018 Basic Idea of Event Study • Pioneered in accounting and finance • Later used in other areas such as marketing • Basic concept • Stock price reflects true value of firm (i.e., discounted future cash flows) • Financial markets are efficient • Stock prices react to new (valuable) information • Changes in stock price reflect value of unanticipated event (Fama 1970; 1991) • Procedure: Collect sample of observations of one event type • Step 1: Average value of event (compared to benchmark) • Percentage return in stock price (usual approach but problematic) • Absolute change in market capitalization (hardly used, not problematic) • Step 2: Determinants of value of event
  • 5. 420.05.2018 Current Practice in Event Studies • Step 1: Calculate percentage return (CARSHV) due to arrival of new information (i.e., event) • Derive percentage change in stock price • Step 2: Use CARSHV as dependent variable and regress on characteristics of events t Stock Price Difference reflect value of event (usually measured as percentage change in stock price) Event k SHV i it t=1 CAR = ARSHV it it itAR = R E(R ) Actual Stock Price Expected Stock Price (1) (2) J SHV i j ij i j=1 CAR = α + β CHAR + ε .(3)
  • 7. 620.05.2018 Valuation Theory Non-operating assets (NOA) and Debt Purpose of NCB activities • Realization of additional returns • Employment of excess cash resources NCB is responsible for • Other income and expense Operating Business (OB) Purpose of OB activities • Selling products (goods & services) OB is responsible for • Revenues • Costs of goods sold (COGS) • Operating expense $ • Operating assets = assets used by firms in core business operations • Property • Plant & equipment • Natural resources • Intangible assets • Non-Operating assets = play no role in firm’s operations • Excess cash • Marketable securities (commercial papers, money market instruments) • Debt • Corporate bonds Damodaran, A. (2006), “Damodaran on Valuation: Security Analysis for Investment and Corporate Finance”, New York: John Wiley & Sons. Schulze, C., Skiera, B., & Wiesel, T. (2012), “Linking Customer and Financial Metrics to Shareholder Value: The Leverage Effect in Customer-Based Valuation”, Journal of Marketing, 76(2), 17–32.
  • 8. 720.05.2018 Different Parts of Shareholder Value (SHV) Value of operating business • Value of assets used in core busi- ness operations • Examples are property, plant, equipment, natural resources and intangible assets + NOB Value of Non- Operating Business • Value of excess cash and short- term investments • Not needed to run operating business Debt / Non-Equity Claims • Money generating value for firm • But not owned by shareholders • Borrowed at interest − Debt * for simplicity, before applicable tax which would affect both sides of the equation similarly Value to stock owners*, also called • Market capitalization • Value of Equity =OB Damodaran, A. (2006), “Damodaran on Valuation: Security Analysis for Investment and Corporate Finance”, New York: John Wiley & Sons. Schulze, C., Skiera, B., & Wiesel, T. (2012), “Linking Customer and Financial Metrics to Shareholder Value: The Leverage Effect in Customer-Based Valuation”, Journal of Marketing, 76(2), 17–32.
  • 9. 820.05.2018 Examples of Value of Non-Operating Business • Apple (end of 2015) • $216 billion • Microsoft (end of 2016) • $103 billion
  • 11. 1020.05.2018 Impact of Event on Different Parts of SHV Operating Business Non-operating assets Debt+ - SHV = Event ? ?!
  • 12. 1120.05.2018 Different Types of Events • Influence all part of SHV • Ability to earn money with core business operations • Lead to re-evaluation of (relation of) non-operating assets and debt • Examples: • Regulatory changes (e.g., change in tax level, introduction of new tax) • Natural disasters (e.g., nuclear accident, earthquake) Typical Marketing-Related EventsTypical Events in Finance and Economics • Only influence value of operating business • Examples: • Firing of advertising agency • New product’s visual appearance • Change of name of firm
  • 13. 1220.05.2018 Numerical Example to Illustrate Basic Idea of Solution
  • 14. 1320.05.2018 Firm A in Numerical Example (1/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets: $0 • Debt: $0 • Shareholder Value = $1,000 • Leverage Ratio = 1 (=$1,000/$1,000) • Event 1: +$30 • Shareholder Value after Event 1 • Value of Operating Business: $1,000 + $30 = $1,030 • Non-operating assets: $0 • Debt: $0 • Shareholder Value = $1,030 • Cumulative Abnormal Return of Event 1 • +$30 • CARSHV: $30 / $1,000 = 3% • CAROB: $30 / $1,000 = 3%
  • 15. 1420.05.2018 Firm A in Numerical Example (2/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets: $0 • Debt: $0 • Shareholder Value = $1,000 • Leverage Ratio = 1 • Event 2: -$60 • Shareholder Value after Event 2 • Value of Operating Business: $1,000 - $60 = $940 • Non-operating assets: $0 • Debt: $0 • Shareholder Value = $940 • Cumulative Abnormal Return of Event 2 • -$60 • CARSHV: -$60 / $1,000 = -6% • CAROB: -$60 / $1,000 = -6%
  • 16. 1520.05.2018 Firm A in Numerical Example (3/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets: $0 • Debt: $0 • Shareholder Value = $1,000 • Leverage Ratio = 1 • Event 3: $50 • Shareholder Value after Event 3 • Value of Operating Business: $1,000 + $50 = $1,050 • Non-operating assets: $0 • Debt: $0 • Shareholder Value = $1,050 • Cumulative Abnormal Return of Event 3 • +$50 • CARSHV: $50 / $1,000 = 5% • CAROB: $50 / $1,000 = 5%
  • 17. 1620.05.2018 Firm B in Numerical Example (1/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets: $1,000 • Debt: $0 • Shareholder Value = $2,000 • Leverage Ratio = 0.5 (=$1,000/$2,000) • Event 1: +$30 • Shareholder Value after Event 1 • Value of Operating Business: $1,000 + $30 = $1,030 • Non-operating assets: $1,000 • Debt: $0 • Shareholder Value = $2,030 • Cumulative Abnormal Return of Event 1 • +$30 • CARSHV: $30 / $2,000 = 1.5% • CAROB: $30 / $1,000 = 3.0%
  • 18. 1720.05.2018 Firm B in Numerical Example (2/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets: $1,000 • Debt: $0 • Shareholder Value = $2,000 • Leverage Ratio = 0.5 • Event 2: -$60 • Shareholder Value after Event 2 • Value of Operating Business: $1,000 - $60 = $940 • Non-operating assets: $1,000 • Debt: $0 • Shareholder Value = $1,940 • Cumulative Abnormal Return of Event 2 • -$60 • CARSHV: -$60 / $2,000 = -3% • CAROB: -$60 / $1,000 = -6%
  • 19. 1820.05.2018 Firm B in Numerical Example (3/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets: $1,000 • Debt: $0 • Shareholder Value = $1,000 • Leverage Ratio = 0.5 • Event 3: $50 • Shareholder Value after Event 3 • Value of Operating Business: $1,000 + $50 = $1,050 • Non-operating assets: $1,000 • Debt: $0 • Shareholder Value = $2,050 • Cumulative Abnormal Return of Event 3 • +$50 • CARSHV: $50 / $2,000 = 2.5% • CAROB: $50 / $1,000 = 5.0%
  • 20. 1920.05.2018 Firm C in Numerical Example (1/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets:$0 • Debt: $900 • Shareholder Value = $100 • Leverage Ratio = 10 (=$1,000/$100) • Event 1: +$30 • Shareholder Value after Event 1 • Value of Operating Business: $1,000 + $30 = $1,030 • Non-operating assets: $0 • Debt: $900 • Shareholder Value = $130 • Cumulative Abnormal Return of Event 1 • +$30 • CARSHV: $30 / $100 = 30% • CAROB: $30 / $1,000 = 3%
  • 21. 2020.05.2018 Firm C in Numerical Example (2/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets: $0 • Debt: $900 • Shareholder Value = $100 • Leverage Ratio = 10 • Event 2: -$60 • Shareholder Value after Event 2 • Value of Operating Business: $1,000 - $60 = $940 • Non-operating assets: $0 • Debt: $900 • Shareholder Value = $40 • Cumulative Abnormal Return of Event 2 • -$60 • CARSHV: -$60 / $100 = -60% • CAROB: -$60 / $1,000 = -6%
  • 22. 2120.05.2018 Firm C in Numerical Example (3/3) • Shareholder Value before Event: • Value of Operating Business: $1,000 • Non-operating assets: $0 • Debt: $900 • Shareholder Value = $100 • Leverage Ratio = 10 • Event 3: $50 • Shareholder Value after Event 3 • Value of Operating Business: $1,000 + $50 = $1,050 • Non-operating assets: $0 • Debt: $900 • Shareholder Value = $150 • Cumulative Abnormal Return of Event 3 • +$50 • CARSHV: $50 / $100 = 50% • CAROB: $50 / $1,000 = 5%
  • 23. 2220.05.2018 Summary of Differences between CARSHV and CAROB CARSHV Firm A Firm B Firm C Average Leverage Effect 1 0.5 10 3.83 Event 1: +30 3% 1.5% 30% 11.50% Event 2: -60 -6% -3% -60% -23.00% Event 3: +50 5% 2.5% 50% 19.17% Average 0.67% 0.33% 6.67% 2.56% CAROB Firm A Firm B Firm C Average Leverage Effect 1 0.5 10 3.83 Event 1: +30 3% 3% 3% 3% Event 2: -60 -6% -6% -6% -6% Event 3: +50 5% 5% 5% 5% Average 0.67% 0.67% 0.67% 0.67%
  • 24. 2320.05.2018 Differences between CARSHV and CAROB if Firm C is Not Subject to Event 3 CAROB Firm A Firm B Firm C Average Leverage Effect 1 0.5 10 3.83 Event 1: +30 3% 1.5% 30% 11.50% Event 2: -60 -6% -3% -60% -23.00% Event 3: +50 5% 2.5% 3.75% Average 0.67% 0.33% -45.00% -3.38% CAROB Firm A Firm B Firm C Average Leverage Effect 1 0.5 10 3.83 Event 1: +30 3% 3% 3% 3.00% Event 2: -60 -6% -6% -6% -6.00% Event 3: +50 5% 5% 5.00% Average 0.67% 0.67% -1.5% 0.13%
  • 25. 2420.05.2018 Model I: CARSHV Model II: CARSHV Model III: CAROB 9 observations 8 observations 9 observations 8 observations 9 observations 8 observations DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09 DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02 Leverage .0067 .0149 Intercept .1150 .1150 .0894 .1722 .03 .03 N 9 8 9 8 9 8 R2 .43 .43 .44 .48 1.00 1.00 Adj. R2 .24 .20 .11 .10 1.00 1.00 Summary of Regression Results (9 Observations) Event Dummies as independent variables to explain CAR Including leverage effect as independent variable still yields differences! • Coefficients in Model III • Difference between DV_Event2 and DV_Event3 = 0.02 – (-0.09) = 0.11 • Difference between DV_Event2 and DV_Event1 = 0.02 – 0 = 0.02 • Coefficients in Model I • Difference between DV_Event2 and DV_Event3 = 0.0767 – (-0.3450) = 0.4217 = 3.83 x 0.11 • Difference between DV_Event2 and DV_Event1 = 0.0767 – 0 = 0.0767 = 3.83 x .02 Event 1: +30; Event 2: -60; Event 3: +50
  • 26. 2520.05.2018 Model I: CARSHV Model II: CARSHV Model III: CAROB 9 observations 8 observations 9 observations 8 observations 9 observations 8 observations DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09 DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02 Leverage .0067 .0149 Intercept .1150 .1150 .0894 .1722 .03 .03 N 9 8 9 8 9 8 R2 .43 .43 .44 .48 1.00 1.00 Adj. R2 .24 .20 .11 .10 1.00 1.00 Summary of Regression Results (8 Observations) Event Dummies as independent variables to explain CAR Including leverage effect as independent variable still yields differences! Sign of coefficients may change when choosing CAROB instead of CARSHV as dependent variable in regression • Coefficients in Model III • Difference between DV_Event2 and DV_Event3 = 0.02 – (-0.09) = 0.11 • Difference between DV_Event2 and DV_Event1 = 0.02 – 0 = 0.02 • Coefficients in Model I • Difference between DV_Event2 and DV_Event3 = -0.0775 – (-0.3450) = 0.2675 • Difference between DV_Event2 and DV_Event1 = -0.0775 – 0 = -0.0775
  • 27. 2620.05.2018 Model I: CARSHV Model II: CARSHV Model III: CAROB 9 observations 8 observations 9 observations 8 observations 9 observations 8 observations DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09 DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02 Leverage .0067 .0149 Intercept .1150 .1150 .0894 .1722 .03 .03 N 9 8 9 8 9 8 R2 .43 .43 .44 .48 1.00 1.00 Adj. R2 .24 .20 .11 .10 1.00 1.00 Summary of Regression Results Event Dummies as independent variables to explain CAR Including leverage effect as independent variable still yields differences! • Coefficients in Model III • Difference between DV_Event3 and DV_Event1 = 0.02 – 0 = 0.02 • Coefficients in Model I • 9 obs: Difference between DV_Event3 and DV_Event1 = 0.0767 – 0 = 0.0767 = 3.83 x 0.02 • 8 obs: Difference between DV_Event3 and DV_Event1 = -0.0775 – 0 = -0.0775 = -3.88 x 0.02
  • 28. 2720.05.2018 Moderating Effect of Leverage Effect CARSHV 9 observations 8 observations DummyEvent1×LE .03 .03 DummyEvent2×LE -.06 -.06 DummyEvent3×LE .05 .05 Intercept .00 .00 N 9 8 R2 1.00 1.00 Adj. R2 1.00 1.00 Model I: CARSHV Model II: CARSHV Model III: CAROB 9 observations 8 observations 9 observations 8 observations 9 observations 8 observations DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09 DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02 Leverage .0067 .0149 Intercept .1150 .1150 .0894 .1722 .03 .03 N 9 8 9 8 9 8 R2 .43 .43 .44 .48 1.00 1.00 Adj. R2 .24 .20 .11 .10 1.00 1.00 • Multiplying every independent variable with leverage effect yields same result as adjusting dependent variable
  • 29. 2820.05.2018 LE = 1 LE > 1 LE < 1 CAROB > 0 (positive effect) CARSHV = CAROB (correct estimation) CARSHV > CAROB (Inflation of “true” effect) CARSHV < CAROB (Deflation of “true” effect) CAROB < 0 (negative effect) CARSHV = CAROB (correct estimation) CARSHV < CAROB CARSHV  > CAROB  (Inflation of “true” effect) CARSHV > CAROB CARSHV  < CAROB  (Deflation of “true” effect) Relationship Between CARSHV and CAROB for Different Leverage Ratios Notes: LE: Leverage effect, CARSHV: cumulative abnormal return on shareholder value; CAROB: cumulative abnormal return on operating business; x represents the absolute value of x.
  • 31. 3020.05.2018 New Dependent Variable for Marketing-Related Event Studies • Cumulative Abnormal Return on Value of Operating Business (CAROB) • Link between CARSHV and CAROB where Example: • LE = Leverage Effect • Captures financial structure of firm • Information on NOA and Debt is available in firms‘ financial statements • 1% change in OB leads to LE% change in SHV before SHV OB i i i CAR CAR LE  OB SHV-NOA+DEBT DEBT-NOA LE = = = 1+ SHV SHV SHV 100 OB=100; DEBT=30: LE = = 1.43 70 100 OB=100; NOA=40: LE = = =0.71 140 100 100 OB=100; NOA=10; DEBT=45.5: LE = = = 1.55 100+10-45.5 64.5
  • 32. 3120.05.2018 Size and Variation of Leverage Effect
  • 33. 3220.05.2018 Calculation of Leverage Ratio • Compustat Data Items (CDI): • DEBT = total debt long-term debt payable within a year (dd1) + long-term debt (dltt) + value of preferred stock (pstk) • NOA = non-operating assets short‐term investments (ivst) • SHV = shareholder value price close - annual - fiscal (prcc_f) × common shares outstanding (csho) OB SHV-NOA+DEBT DEBT-NOA LE = = = 1+ SHV SHV SHV
  • 34. 3320.05.2018 Data to Calculate Leverage Effect VariablesData • S&P Total Market Index • 4,903 firms • 17 years (1998-2014) • 62,012 firm-year observations • DEBT = total debt • Compustat Data Item (CDI): • long-term debt payable within a year (dd1) + • long-term debt (dltt) + • value of preferred stock (pstk) • NOA = non-operating assets • short‐term investments (ivst) • SHV = shareholder value • price close - annual - fiscal (prcc_f) × • common shares outstanding (csho) OB SHV-NOA+DEBT DEBT-NOA LE = = = 1+ SHV SHV SHV
  • 35. 3420.05.2018 Distribution of Leverage Effect of Firms in S&P Total Market Index Table is not shown in Skiera, Bayer & Schöler (2017)
  • 36. 3520.05.2018 Descriptive Analysis of Leverage Effect • Average leverage effect across firms: 1.56 (SD=1.67) • Value of Operating Business 56% higher than shareholder value • Example: • Value of Operating Business (OB): 100 • Debt: 35.7 • Non-Operating Assets (NOA): 0 • Ratio of 100 and 64.3 (=100-35.7): 1.56 • Cross-firm analysis • Average leverage effect in highest ventile (top 5%): 2.67 • Average leverage effect in lowest ventile (bottom 5%): .84 • CARSHV of highest ventile firm receives three times (2.67/0.84 ≈ 3.2) higher weight in calculation of average CARSHV than lowest ventile firm
  • 37. 3620.05.2018 a) Histogram of Within-firm Variations of Leverage Effects over Time b) Histogram of Cross-Firm Variations of Leverage Effects (1998-2014) 05 10152025 Percent 0 .5 1 1.5 2 2.5 Coefficient_of_Variation 0 10203040 Percent .6 .8 1 1.2 1.4 Coefficient_of_Variation Average value of variation coefficient: .25 SD of variation coefficient: .28 N= 4,461 firms (442 firms were dropped because only 1 year of data was available) Average value of variation coefficient: 1.21 SD of variation coefficient: .55 N=17 years Within-Firm versus Cross-Firm Variation of Leverage Effects Distribution: Log-Logistic (scale parameter = 4.41, shape parameter = 1.22)
  • 39. 3820.05.2018 Design of Simulation Study Experimental factors Number of factor levels Factor levels Leverage ratio 1  Random draw from log- logistic distribution fit- ted on real data (scale parameter = 4.41, shape parameter = 1.22) Coefficient α, β1, β2 1  α=.1, β1=.2, β2=-.4 Variable x1 1  Uniform Distribution [-10; +10] Variable x2 1  Uniform Distribution [-10; +10] Number of Firm-instance Observations (i.e., sample size) 2  Small: 100  Large: 500 Number of Experimental Settings 2 Number of Replications 100 Number of Event Studies 1002=200 OB i 1 i 2 iCAR = α + β x1 + β x2
  • 40. 3920.05.2018 Results of Simulation Study ResultsAims • Step 1 of event study: Sign of CAROB and CARSHV • Step 2 of event study: Sign of coefficients of regression • Determinants of deviations between event studies with CAROB and CARSHV • Step 1 of Event Study: • Difference in sign: 10.5% • Type I error: 16.7% (Model with CARSHV erroneously finds sig. difference from zero) • Type II error: 28.6% (Model with CARSHV fails to detect sig. difference from zero) • Step 2 of Event Study: • Type I error: 1.7% (Model with CARSHV erroneously finds significant coefficient) • Type II error: 9.0% (Model with CARSHV fails to find significant coefficient) • Deviations are particularly pronounced if • Correlation between CAROB and leverage effect is high • Sample size is small
  • 41. 4020.05.2018 Calculations of Percentage Deviations SHV rCAR r OB r CAR 1RATIO CAR   SHV rCoeff r OB r Coeff 1RATIO Coeff   with: Coeffr= {r, 1r, 2r}
  • 42. 4120.05.2018 Histogram of Ratio between CARSHV and CAROB
  • 43. 4220.05.2018 Histogram of Ratio between Coefficients of Models with CARSHV and CAROB as Dep. Variable
  • 44. 4320.05.2018 Regression Analysis to Examine Differences Between Estimated Coefficients and True Values Independent Variables Coeff SE Correlation between CAROB and leverage effect .37 (.71) *** Sample Size -.32 (.06) *** Constant -.00 (.38) N (200 event studies × 3 coefficients (α, β1, β2)) 600 R-square .05
  • 46. 4520.05.2018 Overview about Reanalyzed Event Studies • Bornemann, Torsten, Lisa Schöler, and Christian Homburg (2015), "In the Eye of the Beholder? The Effect of Product Appearance on Shareholder Value," Journal of Product Innovation Management, 32 (5), 704-715 • Aim of event study: Analysis of Importance of product design decisions • Aesthetic value (perceptions of the visual attractiveness of product) • Ergonomic value (ability of product to communicate its utilitarian function) • Symbolic value (ability of product to reflect the (desired) identity of its owner) • Kulkarni, Mukund S., Premal P. Vora, and Terence A. Brown (2003), "Firing Advertising Agencies: Possible Reasons and Managerial Implications," Journal of Advertising, 32 (3), 77-86. • Aim of event study: Analysis of Effect of firing of advertising agency • Karpoff, J. M., & Rankine, G. (1994). In Search of a Signaling Effect: The Wealth Effects of Corporate Name Changes. Journal of Banking & Finance, 18(6), 1027– 1045 • Aim of event study: Analysis of Effect of a firm’s name change
  • 47. 4620.05.2018 Differences in Determinants of Cumulative Abnormal Returns in Bornemann et al. (2015) Variables Regressions Model I Model II CARSHV CAROB Functional Product Advantage .41 *** .27 ** Aesthetic Value .33 .53 *** Ergonomic Value .26 ** .29 ** Symbolic Value -.43 ** -61 *** Aesthetic Value × Functional Product Advantage .32 ** .49 *** Ergonomic Value × Functional Product Advantage .00 -.01 Symbolic Value × Functional Product Advantage -.28 ** -.42 *** CV: Industry -.13 -.08 CV: Firm Size -.19 * -.28 *** CV: Brand Familiarity -.41 *** -.25 ** R2 .49 .52 Adj. R2 .41 .45 N 83 83 • CAROB allows for detecting the expected (given accepted theory) value-creating effect of a product’s aesthetic value
  • 48. 4720.05.2018 Variables/ Fit Measures Regressions Model I Model II CARSHV CAROB Intercept -.01 -.01 SG4-IA .09 * .08 ROE-IA .02 .02 ROESG4 -.03 -.03 R2 .21 .20 Adj. R2 .14 .13 N 36 36 Differences in Determinants of Size of Abnormal Return in Kulkarni, Vora, and Brown (2003) Notes: * Significant at 5% level; ** Significant at 1% level. SG4-IA is the industry-adjusted growth in sales from quarter 4 to quarter 1; ROE-IA is the industry-adjusted return on equity; ROESG4 is the interaction between ROE-IA and SG4-IA.
  • 49. 4820.05.2018 Differences in Descriptive Statistics for CARSHV and CAROB in Karpoff and Rankine (1994) Mean SD n Comparison Value t df Total Sample CARSHV .58% .05 110 0 1.33 109 CAROB -.01% .04 110 0 -.03 109 Name change announced in WSJ for the first time CARSHV† 1.20% .04 57 0 2.16* 56 CAROB† .85% .03 57 0 2.01* 56 Name change announced in proxy statement before WSJ CARSHV -.09% .05 53 0 -.14 52 CAROB -.93% .04 53 0 -1.58 52 * p < .05, ** p < .01, *** p < .001. SD = Standard deviation. df: degrees of freedom. † Non-parametric Wilcoxon signed-rank test rejects the null hypothesis of zero abnormal returns at 10% level for both CARSHV (Z = 1.88, p < .10) and CAROB (Z = 1.67, p < .10); a generalized sign test also rejects the null hypothesis of zero abnormal returns at the 10% level.
  • 50. 4920.05.2018 Summary of Reanalysis of Previously Published Marketing Event Studies Bornemann, Schöler, & Homburg (2015) Kulkarni, Vora, & Brown (2003) Karpoff & Rankine (1994) Average leverage effect 2.19 1.08 1.80 Average cross-firm variation coefficient of leverage effect .76 .24 .57 Share of firms with leverage effect <1 17% 24% 13% Lowest value of leverage effect .66 .86 .40 Highest value of leverage effect 9.37 2.12 6.78 Ratio of highest to lowest value of leverage effect 14.20 2.47 16.95 Percentage difference between average CARSHV and average CAROB CARSHV is 13.27% higher than CAROB CAROB is 12.12% lower than CARSHV CAROB and CAROB differ in sign Correlation between CAROB and leverage effect -.27 .14 .15 Substantive insight Insignificant ef- fect turns into significant effect (second step of event study) Significant effect turns into insig- nificant effect (second step of event study) CAR remains insignificant but differs in sign (first step of event study)
  • 52. 5120.05.2018 Think very carefully about the dependent variable in your event study
  • 53. 5220.05.2018 Authors of the Study Bernd Skiera skiera@wiwi.uni-frankfurt.de Emanuel Bayer embayer@wiwi.uni-frankfurt.de Lisa Schöler lisa.schoeler@strategyand.de.pwc.com
  • 54. 5320.05.2018 Overview of Regression Results Model I: CARSHV Model II: CARSHV Model III: CAROB 9 observations 8 observations 9 observations 8 observations 9 observations 8 observations DummyEvent2 -.3450 -.3450 -.3450 -.3450 -.09 -.09 DummyEvent3 .0767 -.0775 .0767 -.1235 .02 .02 Leverage .0067 .0149 Intercept .1150 .1150 .0894 .1722 .03 .03 N 9 8 9 8 9 8 R2 .43 .43 .44 .48 1.00 1.00 Adj. R2 .24 .20 .11 .10 1.00 1.00