Firm Complexity andConglomerates Expected Returns
Alexander Barinov
School of BusinessUniversity of California Riverside
May 4, 2018
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Introduction
Complexity and Asset PricesCohen and Lou (2012) find that conglomeratestake one month longer to incorporate industry-levelnews
In particular, returns to a pseudo-conglomeratethat mimics the real conglomerate usingsingle-segment firms, predict the conglomerate’sreturns
Barinov, Park, and Yildizhan (2016) find that firmcomplexity can be used as a limits to arbitragemeasure
All else equal, more complex firms have strongerpost-earnings-announcement drift
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Introduction
Disagreement, Short SaleConstraints, and Overpricing
Miller (1977) argues that short sale constraints makestocks overpriced: pessimists are kept out of the market,and the stock price is the average valuation of theoptimists
Greater disagreement makes the overpricing worse, sinceoptimists become more optimistic on average (pessimistsbecome more pessimistic too, but they do not trade)
Barinov, Park, and Yildizhan (2016) show that, holding allelse fixed, conglomerates have lower analyst following,lower institutional ownership, less precise earningsforecasts
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Introduction
What Is New Here?The negative cross-sectional relation betweenuncertainty/disagreement and future returns is well-known
Diether et al., 2002, look at analyst disagreement, Ang etal., 2006, look at idiosyncratic volatility
Implied trading strategies call for shorting small, illiquid,distressed, volatile firms, and the alpha is visible for atmost a year
In contrast, conglomerates are relatively large, liquid, andnot particularly volatile
The complexity effect lasts for at least two years, and theunderperformance of conglomerates persists for almost adecade
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Introduction
Measures of Complexity
Conglomerate dummy (Conglo) - 1 if the firmhas multiple segments, 0 otherwise
Concentration (Comp) - our main variable,equals to 1-HHI, HHI (Herfindahl index) is basedon segment sales
Number of segments (NSeg) (based on 2-digitSIC codes)
RSZ (Rajan, Servaes, Zingales, 2000) -coefficient of variation of imputed segment-levelmarket-to-book ratios
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Main Result
Information Environment ofConglomerates
Table 2, Panel A. All Firms
Dep Var = # An # Spec IO Error DispComp -27.60 -60.86 -15.08 21.78 15.30t-stat -8.72 -13.8 -7.20 2.09 5.76Controls YES YES YES YES YES
Table 2, Panel B. Conglomerates Only
Dep Var = # An # Spec IO Error DispComp -33.53 -77.57 -19.22 30.17 17.00t-stat -8.25 -13.3 -7.17 2.48 4.57Controls YES YES YES YES YES
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Main Result
Complexity and InformationEnvironment
All else equal, more complex firmsAre followed by less analysts, especially analysts specializing in theircore industryAttract less institutional ownershipHave analysts that disagree more and make larger forecast errors
The relation does not hold in univariate tests, but with sizeadjustment it does hold
Comp variable has a large mass at zero (single-segmentfirms), so the relation could be just conglomerates vs.single-segments
The larger slope on the Comp variable in the conglomeratesonly sample confirms complexity really matters
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Main Result
Complexity Sorts: Alphas
Zero Low High Z-H Z-M L-HαFF5 0.194 -0.009 -0.162 0.354 0.203 0.154t-stat 3.04 -0.17 -2.70 4.01 2.46 1.85αFF3+CMA 0.044 0.013 -0.075 0.119 0.031 0.090t-stat 0.64 0.26 -1.26 1.14 0.35 1.13αFF3+RMW 0.162 0.020 -0.115 0.276 0.142 0.136t-stat 2.75 0.37 -2.05 3.41 1.85 1.71αFF5+MOM 0.240 0.014 -0.114 0.353 0.226 0.129t-stat 3.50 0.29 -1.82 4.06 2.61 1.47
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Main Result
Complexity Sorts: Alphas
Zero Low High Z-H Z-M L-HαFF5 0.194 -0.009 -0.162 0.354 0.203 0.154t-stat 3.04 -0.17 -2.70 4.01 2.46 1.85αFF3+CMA 0.044 0.013 -0.075 0.119 0.031 0.090t-stat 0.64 0.26 -1.26 1.14 0.35 1.13αFF3+RMW 0.162 0.020 -0.115 0.276 0.142 0.136t-stat 2.75 0.37 -2.05 3.41 1.85 1.71αFF5+MOM 0.240 0.014 -0.114 0.353 0.226 0.129t-stat 3.50 0.29 -1.82 4.06 2.61 1.47
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Main Result
Complexity Sorts: Alphas
Zero Low High Z-H Z-M L-HαFF5 0.194 -0.009 -0.162 0.354 0.203 0.154t-stat 3.04 -0.17 -2.70 4.01 2.46 1.85αFF3+CMA 0.044 0.013 -0.075 0.119 0.031 0.090t-stat 0.64 0.26 -1.26 1.14 0.35 1.13αFF3+RMW 0.162 0.020 -0.115 0.276 0.142 0.136t-stat 2.75 0.37 -2.05 3.41 1.85 1.71αFF5+MOM 0.240 0.014 -0.114 0.353 0.226 0.129t-stat 3.50 0.29 -1.82 4.06 2.61 1.47
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Main Result
Complexity Sorts: Betas
Zero Low High Z-H Z-M L-HβMKT 0.962 1.004 1.084 -0.122 -0.042 -0.080t-stat 49.6 46.8 77.6 -4.61 -1.58 -3.25βSMB 0.007 -0.047 -0.076 0.083 0.053 0.029t-stat 0.23 -1.91 -2.82 1.93 1.42 0.91βHML -0.096 -0.036 0.032 -0.128 -0.059 -0.067t-stat -2.73 -0.98 0.96 -2.84 -1.26 -1.76βCMA -0.121 0.184 0.177 -0.298 -0.306 0.006t-stat -2.09 2.84 3.34 -4.69 -4.59 0.08βRMW -0.309 0.117 0.174 -0.483 -0.426 -0.057t-stat -7.17 3.09 3.94 -9.43 -8.00 -1.27
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Main Result
Complexity Sorts
High-complexity conglomerates trailsingle-segment firms by 35 bp per month (FF5alphas)
Key factor is RMW: conglomerates seem to berelatively profitable (compared to theirsize-MB-investment matches), but do not earnhigh returns of profitable firms
Low-complexity firms also trail single-segmentfirms and beat high-complexity firms, thoughsignificance is weaker
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Main Result
Complexity Effect: Persistence
Year 1 Year 2 Year 3 Year 4 Year 5αZ−H
FF5 0.354 0.275 0.329 0.335 0.299t-stat 4.01 2.78 3.42 3.32 3.10αZ−L
FF5 0.203 0.149 0.283 0.282 0.284t-stat 2.46 1.76 3.64 3.58 3.59αL−H
FF5 0.154 0.127 0.046 0.053 0.015t-stat 1.85 1.93 0.59 0.69 0.20
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Main Result
Complexity Effect: Persistence
High/low-complexity conglomerates continue tounderperform for at least five years
Most likely, this extreme persistence is becauseof extreme persistence of the conglomeratestatus
Complexity per se affects returns for two years(14 bp times 24 months = 3.4% total effect)
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Main Result
Complexity Effect andInstitutional Ownership
A3. RSZ Complexity Measure
Zero Low High Z-HLow 0.297 -0.304 -0.296 0.594t-stat 2.99 -1.72 -3.51 4.49RInst2 0.214 -0.107 -0.214 0.429t-stat 2.86 -0.91 -2.22 3.43High 0.070 0.043 -0.028 0.097t-stat 0.81 0.40 -0.30 0.74L-H -0.228 0.347 0.269 0.497t-stat -1.94 1.65 2.17 3.11
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Main Result
Complexity Effect andIdiosyncratic Volatility
B3. RSZ Complexity Measure
Zero Low High Z-HLow 0.095 -0.021 -0.160 0.255t-stat 1.15 -0.26 -2.39 2.50IVol2 0.154 -0.130 -0.180 0.334t-stat 1.98 -1.11 -1.67 2.51High -0.250 -0.745 -1.023 0.773t-stat -1.61 -2.98 -3.35 2.15H-L 0.345 0.725 0.863 0.518t-stat 1.83 2.66 2.72 1.37
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Main Result
Complexity Effect andLimits to Arbitrage
Complexity effect is stronger if institutionalownership is low, consistent with Miller (1977)story
Complexity effect is stronger if idiosyncraticvolatility is high
Complexity effect can reach 59-77 bp per monthif limits to arbitrage are high
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Main Result
Complexity Effect atEarnings Announcements
Conglo -0.086t-stat -3.00Comp -0.223t-stat -3.03NSeg -0.062t-stat -3.99RSZ -0.018t-stat -4.55Controls YES YES YES YES
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Alternative Explanations
New Conglomerates
Conglo -0.096 -0.101 -0.101t-stat -2.20 -2.16 -2.01NewCong1 -0.354t-stat -2.45NewCong2 -0.195t-stat -1.91NewCong3 -0.213t-stat -2.24Controls YES YES YES
Complexity effect is distinct from post-mergerunderperformance
Post-merger underperformance can have an explanation a-laMiller (1977)
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Alternative Explanations
Other Uncertainty Effects
IVol -6.144 -8.719t-stat -2.02 -2.36AD -0.356 -0.227t-stat -4.39 -2.82Turn -3.833 -0.526t-stat -4.87 -0.65IO -0.325 -0.403t-stat -3.38 -0.75RSI -9.437t-stat -6.48Conglo -0.115 -0.079 -0.124 -0.156 -0.211 -0.111t-stat -3.00 -1.85 -3.08 -3.90 -3.55 -2.56Controls YES YES YES YES YES YES
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Alternative Explanations
Coinsurance Hypothesis
Hann, Ogneva, and Ozbas (2013) show thatconglomerates have lower implied cost of capital
They argue this effect is risk-based because it isstronger for financially constrained firms and forconglomerates with lower correlation betweensegment cash flows
Essentially, conglomeration implies coinsuranceof the segments
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Alternative Explanations
Complexity Effect and FinancialConstraints: Regression Slopes
A2. Whited-Wu Index
Low High H-LComp -0.116 -0.599 0.483t-stat -1.24 -2.95 2.39Controls YES YES YES
A3. Kaplan-Zingales Index
Low High H-LComp -0.461 -0.122 -0.339t-stat -3.15 -0.79 -1.71Controls YES YES YES
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Alternative Explanations
Complexity Effect and Coinsurance inCross-Sectional Regressions
B1. Segment Correlation
Low High H-LHiComp -0.258 -0.121 -0.137t-stat -1.61 -1.71 -0.83Controls YES YES YES
B2. Credit Rating
IG Junk NRComp -0.145 0.360 -0.557t-stat -1.00 2.05 -3.48Controls YES YES YES
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Alternative Explanations
Complexity Effect andCoinsurance Hypothesis
Complexity effect is in realized equity returns, not in cost ofcapital implied by equity forecasts averaged with bond returns
Whited-Wu and Kaplan-Zingales financial constraintsmeasures disagree whether complexity effect is stronger forfinancially constrained firms
Credit rating also delivers split message: complexity effect isstronger for non-rated firms (consistent with coinsurancehypothesis), but flips the sign for junk-rated firms(inconsistent)
Cash flow correlation between segments is not related tocomplexity effect
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Alternative Explanations
Complexity Effect andDiversification Discount
Complexity effect can be creating diversification discount(slow bleeding) or it can be viewed as "delayed" diversificationdiscount
Lamont and Polk show that deeper diversification discountimplies higher expected return
They find no difference in expected returns betweenconglomerates and single-segment firms, because they didnot control for RMW
Mitton and Vorkink (2010) hypothesize that skewness-lovinginvestors dislike diversification (which destroys skewness) andrequire a higher rate of return from (some) conglomerates
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Alternative Explanations
Complexity Effect andDiversification Discount
DDisc 0.092 0.097 0.111t-stat 3.45 3.56 3.78HiComp -0.108t-stat -1.78HiSeg -0.101t-stat -1.69HiRSZ -0.138t-stat -2.03Controls YES YES YES
I confirm Lamont and Polk result, but find that it does not subsumecomplexity effect
The regressions are for conglomerates only, showing that degree ofcomplexity matters for expected returns
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Alternative Explanations
Complexity Effect andIdiosyncratic Skewness
C. Return Skewness Groups
Low High H-LComp -0.295 -0.351 -0.057t-stat -2.46 -2.33 -0.38Controls YES YES YES
Complexity effect is unrelated to skewness andMitton and Vorkink story
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Concluding Remarks
ConclusionConglomerates are hard to value, which makesinstitutions and analysts abandon them
The resulting disagreement coupled with short-saleconstraints creates overpricing and subsequent negativealphas
Complexity effect is around 35 bp per month (controllingfor RMW)
Expected return spread between single-segment firmsand conglomerates lasts for at least 5 years
Expected return spread between low and high complexityconglomerates lasts for 2 years
Complexity effect can double if limits to arbitrage is high
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Concluding Remarks
Idiosyncratic Volatility Discount andConglomerates
Single Low IVol2 IVol3 Ivol4 High L-HαFF5 0.070 0.123 -0.156 0.130 -0.225 0.294t-stat 0.67 1.20 -1.40 1.06 -1.40 1.38Conglo Low IVol2 IVol3 Ivol4 High L-HαFF5 -0.024 -0.152 -0.149 -0.269 -0.558 0.534t-stat -0.39 -1.67 -1.64 -2.07 -2.48 2.13
IVol effect is stronger for conglomerates despite thembeing larger, more liquid, etc.
The impact is primarily on the short side
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Concluding Remarks
Analyst Disagreement Effect andConglomerates
Single Low Disp2 Disp3 Disp4 High L-HαFF5 0.194 -0.113 0.067 0.187 -0.175 0.369t-stat 2.61 -1.25 0.58 1.31 -1.16 2.18Conglo Low Disp2 Disp3 Disp4 High L-HαFF5 0.141 -0.222 -0.081 -0.020 -0.523 0.665t-stat 1.75 -2.17 -0.69 -0.13 -3.52 3.71
AD effect is stronger for conglomerates despite thembeing larger, more liquid, etc.
The impact is primarily on the short side
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