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C L I M B Y O U R M O U N T A I N
Q GROUP MEETING – LAJOLLA, CA
October 29, 2019
Harry Markowitz, PhDHarry Markowitz & Co.
San Diego, CA
John B. Guerard, Jr., PhDMcKinley Capital Management, LLC
Anchorage, AK
October 2019
THE EXISTENCE AND PERSISTENCE OF FINANCIAL ANOMALIES
P O R T F O L I O C O N S T R U C T I O N A N D M E A S U R E M E N T
3
Research Includes:
• Markowitz (1959) Mean-Variance Portfolio Selection
• Sharpe (1964), Lintner (1965), Mossin (1966) CAPM
• Treynor and Mazuy (1966) CAPM Performance Measurement
• Fama (1970, 1976, 1991) Efficient Markets Hypothesis
• Ross (1976) and Roll and Ross (1980) APT
• Friend, Dhrymes, and Gultekin (1983) APT
• Blin, Bender, and Guerard (1997)
APT Applied Investment Management and Portfolio Measurement
• Guerard, Markowitz, and Xu (2015) APT and Axioma Risk Models Tested
3
E X P E C T E D R E T U R N S M O D E L I N G T O E X P L O I T F I N A N C I A L A N O M A L I E S
4
Research Includes:
• Dimson (1988) Size Anomalies
• Jacobs and Levy (1988) Financial Anomalies
• Bloch, Guerard, Markowitz, Todd, and Xu (1993) Financial Anomalies
with the Markowitz Risk Model
• Blin, Bender, and Guerard (1997) Financial Anomalies and the APT
Model
• Guerard (1997) CTEF Introduced with BARRA Risk Model
• McKinley Quant (2006) MQ Introduced with APT Risk Model
• Guerard, Markowitz, and Xu (2015) MQ and CTEF Updated and Verified
for Axioma Stock Selection
4 4
T H R E E TA K E - H O M E S F O R O U R A U D I E N C E
5
1. The Financial Anomalies stock selection models recommended in 1991 have worked to produce statistically significant Active Returns and positive Specific Returns (or Asset Selection), including transactions costs;
2. The Japanese and R1 models initially estimated produce higher Active Returns in R3, Non-U.S., and EM stock markets;
3. Real-time portfolio statistically significant Active Returns can be achieved, but only by implementing large active stock weights in portfolios.
5 4
6
Figure 1: MCM Portfol io Construction and Modeling Process
7
Figure 1: MCM Portfol io Construction and Modeling Process
Publ ic Model Expected Returns Stock Select ion Model , GLER
8
TRt + 1 = a0 + a1EPt + a2 BP t + a3CPt + a4SPt + a5REPt + a6RBPt + a7RCPt
+ a8RSPt + a9CTEFt + a10PMt + et , (1)
where: EP = [earnings per share]/[price per share] = earnings-price ratio;
BP = [book value per share]/[price per share] = book-price ratio;
CP = [cash flow per share]/[price per share] = cash flow-price ratio; SP = [net sales per share]/[price per share] = sales-price ratio;
REP = [current EP ratio]/[average EP ratio over the past five years];
RBP = [current BP ratio]/[average BP ratio over the past five years];
RCP = [current CP ratio]/[average CP ratio over the past five years];
RSP = [current SP ratio]/[average SP ratio over the past five years]; CTEF = consensus earnings-per-share I/B/E/S forecast, revisions and
breadth;
PM = price momentum; and
e = randomly distributed error term.
Publ ic Model Expected Returns Stock Select ion Model , GLER
9
Table 1: Top/Bottom decile spreads of FSGLER
1997 - 2011
Variable Top 3 decile spreads (t)
AnnualizedTop 3 decile
spreads
Top decile spread (t)
AnnualizedTop decile
spread EP 0.42% (1.66) 4.43% 0.20% (0.66) 1.40%BP 0.50 (1.67) 5.21 0.96 (1.45) 9.54FEP 0.50 (1.95) 5.38 0.54 (2.02) 5.11CTEF 0.72 (5.85) 8.85 1.16 (7.27) 14.54EWC 0.70 (3.67) 8.37 1.06 (3.55) 12.36GLER 1.12 (4.54) 13.55 1.48 (3.67) 17.19
Source: FactSet and APT. Past performance is not indicative of future returns. Guerard, J.B., Jr., Markowitz, H.M., & Xu, G. (2015).
Earnings forecasting in a global stock selection model and efficient portfolio construction and management. International Journal of
Forecasting, 31, 550-560.
Publ ic Model Expected Returns Stock Select ion Model , GLER
10
Table 1 cont.: Top/Bottom decile spreads of FSGLER
2003 – 2011
Variable Top 3 decile spreads (t)
AnnualizedTop 3 decile
spreads
Top decile spread (t)
AnnualizedTop decile
spread EP 0.23% (0.80) 2.267 0.25% (1.08) 2.65BP 0.80 (1.78) 8.74 0.47 (1.57) 5.21FEP 0.38 (1.33) 4.12 0.23 (1.39) 2.66CTEF 1.07 (6.48) 3.37 0.58 (4.88) 7.12EWC 0.97 (5.79) 12.07 0.60 (1.83) 7.41GLER 1.33 (3.98) 16.32 0.96 (4.59) 11.78Source: FactSet and APT. Past performance is not indicative of future returns. Guerard, J.B., Jr., Markowitz, H.M., & Xu, G. (2015). Earnings forecasting in a global stock selection model and
efficient portfolio construction and management. International Journal of Forecasting, 31, 550-560.
11
Publ ic Model Risk Preferences, 1999-2011
Table 2: Efficient Frontier of the Global Stock Selection Model with Various Portfolio Optimization Techniques1999 – 2011APT Risk Model
Earnings Model or
Component
Mean Variance
MethodologyLambda Annualized
ReturnStandard Deviation
Sharpe Ratio
Info Ratio
Tracking Error
GLER M59 1000 15.84 24.97 0.590 0.78 13.11500 16.34 24.85 0.590 0.82 12.08200 16.37 24.38 0.610 0.85 12.68100 15.90 24.61 0.580 0.81 12.66
5 10.11 19.36 0.440 0.51 8.81Benchmark 5.59 0.240Source: FactSet and APT. Past performance is not indicative of future returns. Guerard, J.B., Jr., Markowitz, H.M., & Xu, G. (2015). Earnings forecasting in a global stock selection model
and efficient portfolio construction and management. International Journal of Forecasting, 31, 550-560.
12
Publ ic Model Risk Preferences, 1999-2011
Table 2 cont.: Efficient Frontier of the Global Stock Selection Model with Various Portfolio Optimization Techniques
1999 – 2011APT Risk ModelGLER TaR 1000 16.10 21.93 0.660 0.94 11.18
500 15.91 21.99 0.651 0.90 11.44200 16.09 20.95 0.691 0.97 10.83100 14.18 21.24 0.591 0.77 11.23
5 8.51 20.03 0.344 0.33 8.75
GLER EAWTaR2 1000 14.80 21.96 0.600 0.94 11.07500 14.30 21.65 0.590 0.80 10.87200 14.15 20.92 0.600 0.85 10.04100 13.49 20.82 0.570 0.80 9.84
5 10.77 20.79 0.440 0.43 12.18Source: FactSet and APT. Past performance is not indicative of future returns. Guerard, J.B., Jr., Markowitz, H.M., & Xu, G. (2015). Earnings forecasting in a global stock selection
model and efficient portfolio construction and management. International Journal of Forecasting, 31, 550-560.
13
Source: FactSet and Axioma. Past performance is not indicative of future returns.
Guerard, J.B., Jr., & Chettiappan, S. (2017). Active quant: Applied investment analysis in emerging markets”, Journal of Investing 26, 138-152.
Table 3: Axioma Statistical Risk Model and OptimizerJanuary 2003 – December 2016
STAT Risk Model
Tracking ErrorModel: XUS GLER 4.00 5.00 6.00 7.00 8.00 9.00 10.00Ann. Port Return 13.18 14.13 14.47 15.22 15.80 15.95 15.95Ann. STD 20.16 20.56 20.66 20.99 21.20 21.63 21.63Ann. Active Return 5.33 6.29 6.62 7.37 7.94 8.10 8.10Ann. Active Risk 6.22 7.14 7.55 7.96 9.16 8.64 8.64ShR 0.573 0.605 0.619 0.645 0.668 0.662 0.662IR 0.856 0.880 0.876 0.925 0.975 0.937 0.937
14
Source: FactSet and Axioma. Past performance is not indicative of future returns.
Guerard, J.B., Jr., & Chettiappan, S. (2017). Active quant: Applied investment analysis in emerging markets”, Journal of Investing 26, 138-152.
Table 3 cont.: Axioma Statistical Risk Model and OptimizerJanuary 2003 – December 2016
STAT Risk Model
Tracking ErrorModel: GL GLER 4.00 5.00 6.00 7.00 8.00 9.00 10.00Ann. Port Return 12.42 14.17 14.78 15.88 16.30 16.80 17.24Ann. STD 17.82 18.92 19.60 19.98 20.12 20.54 20.64Ann. Active Return 4.29 6.04 6.65 7.75 8.17 8.67 9.11Ann. Active Risk 6.04 7.88 8.00 8.57 8.69 9.14 9.41ShR 0.601 0.659 0.667 0.710 0.726 0.775 0.753IR 0.710 0.852 0.832 0.905 0.940 0.949 0.968
15
Source: FactSet and Axioma. Past performance is not indicative of future returns.
Guerard, J.B., Jr., & Chettiappan, S. (2017). Active quant: Applied investment analysis in emerging markets”, Journal of Investing 26, 138-152.
Table 3 cont.: Axioma Statistical Risk Model and OptimizerJanuary 2003 – December 2016
STAT Risk Model
Tracking ErrorModel: EM GLER 4.00 5.00 6.00 7.00 8.00 9.00 10.00Ann. Port Return 18.79 19.79 20.15 20.76 21.16 21.82 22.67Ann. STD 26.09 26.22 26.34 26.45 26.74 26.95 27.25Ann. Active Return 8.48 9.47 9.84 10.46 10.45 11.61 12.36Ann. Active Risk 8.99 9.16 9.36 9.55 10.09 10.22 10.40ShR 0.655 0.689 0.708 0.721 0.751 0.746 0.769IR 0.944 1.033 1.062 1.095 1.085 1.128 1.180
16
Source: FactSet and Axioma. Past performance is not indicative of future returns.
Guerard, J.B., Jr., & Chettiappan, S. (2017). Active quant: Applied investment
analysis in emerging markets”, Journal of Investing 26, 138-152.
Figure 2: Return vs. Realized Tracking Error
17
Source: FactSet and Axioma. Past performance is not indicative of future returns.
Guerard, J.B., Jr., & Chettiappan, S. (2017). Active quant: Applied investment
analysis in emerging markets”, Journal of Investing 26, 138-152.
Figure 3: Return vs. Tracking Tracking Error
18
REG8=OIF99 Regression(EP,BP,CP,SP,REP,RBP,RCP,RSP)
REG9=OIF99Regression(EP,BP,CP,SP,REP,RBP,RCP,RSP,CTEF)
REG10=OIF99 Regression(EP,BP,CP,SP,REP,RBP,RCP,RSP,CTEF,PM71)
R E G R E S S I O N M O D E L D E F I N I T I O N S
1919
Table 4: Portfolio DashboardMean-Variance OptimizationAXIOMA Fundamental Risk Model1/2002 - 11/2018
RiskRisk Stock Risk Risk
Sharpe Info Specific Effect Factors Effect Total Transaction TotalPortfolios Ratio Ratio Effect T-Stat Effect T-Stat Effect Effect Effect
JAPAN_REG8_8TE 0.56 0.54 5.64 4.00 -0.18 0.44 5.46 -2.24 3.26
JAPAN_REG8_6TE 0.54 0.51 4.73 3.74 -0.23 0.20 4.50 -1.49 3.04
JAPAN_REG8_4TE 0.50 0.46 2.75 2.88 0.17 0.63 2.92 -0.79 2.17
JAPAN_REG9_8TE 0.42 0.28 2.14 1.65 0.74 1.34 2.87 -2.00 0.95
JAPAN_REG9_4TE 0.44 0.31 1.54 1.59 0.55 1.45 2.09 -0.82 1.32
20
Table 4 cont.: Portfolio DashboardMean-Variance OptimizationAXIOMA Fundamental Risk Model1/2002 - 11/2018 Risk
Risk Stock RiskStock Specific Risk Factors Risk Risk
Sharpe Info Specific Effect Factors Effect Total Transaction TotalPortfolios Ratio Ratio Effect T-Stat Effect T-Stat Effect Effect Effect
R1000_REG8_6TE 0.69 0.30 2.52 2.07 -0.55 0.16 1.97 -0.88 1.10
R1000_REG8_8TE 0.58 0.13 2.36 1.57 -1.40 -0.18 0.96 -1.10 -0.15
R1000_REG8_4TE 0.71 0.27 0.81 1.00 0.44 0.84 1.25 -0.43 0.82
R1000_REG9_8TE 0.58 0.15 1.25 0.99 0.07 0.59 1.32 -1.15 0.17
R1000_CTEF_4TE 0.75 0.44 0.63 0.89 1.53 2.34 2.16 -0.69 1.47
2121
Table 4 cont.: Portfolio DashboardMean-Variance OptimizationAXIOMA Fundamental Risk Model – Non-U.S. 5000 Universe1/2002 - 11/2018
RiskRisk Stock Risk Risk
Sharpe Info Specific Effect Factors Effect Total Transaction TotalPortfolios Ratio Ratio Effect T-Stat Effect T-Stat Effect Effect Effect
XUS_CTEF_6TE 0.85 1.45 9.35 6.89 5.58 6.80 14.93 -4.16 10.77
XUS_CTEF_8TE 0.91 1.44 11.51 6.60 5.24 5.27 16.74 -4.98 11.76
XUS_CTEF_4TE 0.70 1.26 6.40 5.77 4.66 7.71 11.05 -3.07 7.98
XUS_REG10_6TE 0.65 1.21 4.16 3.53 7.23 6.53 11.39 -4.27 7.12
XUS_REG10_4TE 0.49 1.07 2.66 3.09 4.67 5.85 7.33 -3.06 4.26
2222
Table 4 cont.: Portfolio DashboardMean-Variance OptimizationAXIOMA Fundamental Risk Model1/2002 - 11/2018
RiskRisk Stock Risk Risk
Sharpe Info Specific Effect Factors Effect Total Transaction Total
Portfolios Ratio Ratio Effect T-Stat Effect T-Stat Effect Effect Effect
EM_REG8_4TE 0.51 0.31 3.99 2.38 1.79 2.11 5.78 -2.05 3.73
EM_REG9_4TE 0.55 0.49 3.45 2.20 3.28 3.60 6.73 -2.11 4.63
EM_CTEF_8TE 0.59 0.61 3.54 2.18 5.76 3.64 9.30 -3.58 5.72
EM_CTEF_4TE 0.58 0.72 3.20 2.16 3.84 4.42 7.04 -2.10 4.94
EM_CTEF_6TE 0.60 0.65 3.67 2.13 4.67 4.02 8.34 -2.75 5.59
2323
Table 5: CTEF and REG9 Portfolio Analysis using Axioma STAT and FUND Risk Models Mean-Variance OptimizationAXIOMA Fundamental Risk Model12/ 2002 - 11/ 2018
Portfolios
RiskStock
SpecificEffect
RiskStock
SpecificEffectT-Stat
RiskFactorsEffect
RiskFactorsEffectT-Stat
RiskTotalEffect
RiskTrans.Effect
TotalEffect
EM_CTEF_STAT_6TE 1.92 1.97 4.69 4.15 6.62 -3.04 3.58
XUS_CTEF_STAT_6TE 3.89 3.66 4.24 3.87 8.13 -4.77 3.37
ACW_CTEF_STAT_6TE 4.47 3.67 2.95 3.08 7.42 -4.06 3.37
XUS_CTEF_FUND_6TE 3.63 3.50 3.98 3.83 7.61 -4.58 3.02
EM_CTEF_FUND_6TE 1.90 1.93 3.82 4.04 5.72 -2.86 2.86
ACW_CTEF_FUND_6TE 4.13 3.32 2.31 2.81 6.43 -3.80 2.63
2424
Table 5 cont.: CTEF and REG9 Portfolio Analysis using Axioma STAT and FUND Risk Models Mean-Variance OptimizationAXIOMA Fundamental Risk Model12/ 2002 - 11/ 2018
Portfolios Div
iden
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Yiel
d
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Med
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Prof
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Size
Valu
e
Vola
tility
EM_CTEF_STAT_6TE 0.43 0.70 -0.01 2.18 0.14 0.67 0.78 -0.91
XUS_CTEF_STAT_6TE 0.09 0.70 -0.15 2.66 0.18 0.90 0.67 -1.78
ACW_CTEF_STAT_6TE 0.00 0.70 -0.09 2.75 0.05 1.27 0.91 -2.14
XUS_CTEF_FUND_6TE 0.08 0.73 -0.19 2.60 0.27 0.89 0.54 -1.88
EM_CTEF_FUND_6TE 0.35 0.67 -0.02 2.08 0.05 0.60 0.75 -1.01
ACW_CTEF_FUND_6TE 0.04 0.66 -0.15 2.61 0.07 1.09 0.80 -2.01
2525
Table 5 cont.: CTEF and REG9 Portfolio Analysis using Axioma STAT and FUND Risk Models Mean-Variance OptimizationAXIOMA Fundamental Risk Model12/ 2002 - 11/ 2018
Portfolios
RiskStock
SpecificEffect
RiskStock
SpecificEffectT-Stat
RiskFactorsEffect
RiskFactorsEffectT-Stat
RiskTotalEffect
RiskTrans.Effect
TotalEffect
EM_REG9_STAT_6TE 0.52 1.02 4.44 3.52 4.96 -3.18 1.78
EM_REG9_FUND_6TE 0.60 0.94 3.55 3.39 4.15 -2.86 1.29
ACW_REG9_STAT_6TE 0.79 1.05 2.93 2.51 3.72 -3.52 0.20
XUS_REG9_STAT_6TE 0.05 0.31 3.02 2.94 3.06 -3.98 -0.92
ACW_REG9_FUND_6TE -0.31 -0.10 2.35 2.33 2.04 -3.19 -1.15
XUS_REG9_FUND_6TE -0.11 0.26 2.47 2.55 2.35 -3.85 -1.50
2626
Table 5 cont.: CTEF and REG9 Portfolio Analysis using Axioma STAT and FUND Risk Models Mean-Variance OptimizationAXIOMA Fundamental Risk Model12/ 2002 - 11/ 2018
Portfolios Div
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Prof
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Size
Valu
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Vola
tility
EM_REG9_STAT_6TE 0.49 0.39 0.29 -0.04 -1.03 1.19 2.99 -0.63
EM_REG9_FUND_6TE 0.45 0.31 0.22 -0.09 -0.97 0.98 2.59 -0.62
ACW_REG9_STAT_6TE 0.25 0.14 0.03 0.41 -1.14 2.06 3.33 -2.19
XUS_REG9_STAT_6TE 0.19 0.23 0.07 0.36 -0.84 1.47 2.68 -1.67
ACW_REG9_FUND_6TE 0.11 0.16 0.00 0.26 -0.99 1.67 2.63 -1.61
XUS_REG9_FUND_6TE 0.13 0.23 0.03 0.24 -0.79 1.31 2.36 -1.42
2727
Table 5 cont.: CTEF and REG9 Portfolio Analysis using Axioma STAT and FUND Risk Models Mean-Variance OptimizationAXIOMA Fundamental Risk Model12/ 2002 - 11/ 2018
Portfolios
RiskStock
SpecificEffect
RiskStock
SpecificEffectT-Stat
RiskFactorsEffect
RiskFactorsEffectT-Stat
RiskTotalEffect
RiskTrans.Effect
TotalEffect
R1_CTEF_STAT_6TE 0.57 0.80 2.62 2.08 3.19 -0.86 2.33
R1_CTEF_FUND_6TE 0.64 0.83 2.27 1.98 2.90 -0.81 2.09
R3_CTEF_STAT_6TE 0.03 0.25 3.32 2.35 3.35 -1.33 2.02
R3_CTEF_FUND_6TE 0.30 0.52 2.56 2.23 2.86 -0.86 2.00
R1: Russell 1000, R3: Russell 3000
2828
Table 5 cont.: CTEF and REG9 Portfolio Analysis using Axioma STAT and FUND Risk Models Mean-Variance OptimizationAXIOMA Fundamental Risk Model12/ 2002 - 11/ 2018
Portfolios Div
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Earn
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Med
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Prof
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Size
Valu
e
Vola
tility
R1_CTEF_STAT_6TE 0.26 1.58 0.02 1.16 -0.27 -0.15 2.44 0.19
R1_CTEF_FUND_6TE 0.25 1.57 0.04 1.00 -0.26 -0.11 2.34 0.15
R3_CTEF_STAT_6TE 0.20 1.65 0.04 1.30 -0.20 0.05 3.72 0.19
R3_CTEF_FUND_6TE 0.14 1.66 0.06 1.08 -0.19 0.05 3.20 0.07
R1: Russell 1000, R3: Russell 3000
2929
Table 5 cont.: CTEF and REG9 Portfolio Analysis using Axioma STAT and FUND Risk Models Mean-Variance OptimizationAXIOMA Fundamental Risk Model12/ 2002 - 11/ 2018
Portfolios
RiskStock
SpecificEffect
RiskStock
SpecificEffectT-Stat
RiskFactorsEffect
RiskFactorsEffectT-Stat
RiskTotalEffect
RiskTrans.Effect
TotalEffect
R1_REG9_STAT_6TE 1.47 1.19 0.18 0.71 1.65 -1.08 0.57
R3_REG9_STAT_6TE 2.19 1.60 0.00 0.51 2.19 -1.63 0.56
R1_REG9_FUND_6TE 0.82 0.70 0.33 0.75 1.16 -0.97 0.19
R3_REG9_FUND_6TE 1.37 1.16 0.17 0.57 1.53 -1.43 0.10
R1: Russell 1000, R3: Russell 3000
3030
Table 5 cont.: CTEF and REG9 Portfolio Analysis using Axioma STAT and FUND Risk Models Mean-Variance OptimizationAXIOMA Fundamental Risk Model12/ 2002 - 11/ 2018
Portfolios Div
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Earn
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rmM
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Prof
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Size
Valu
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Vola
tility
R1_REG9_STAT_6TE 0.07 0.58 -0.14 -0.20 -0.41 -0.70 2.93 0.86
R3_REG9_STAT_6TE 0.11 0.31 -0.17 -0.24 -0.15 -0.65 3.65 0.73
R1_REG9_FUND_6TE 0.05 0.60 -0.16 -0.13 -0.43 -0.71 2.66 0.82
R3_REG9_FUND_6TE 0.00 0.43 -0.13 -0.13 -0.17 -0.68 2.94 0.56
R1: Russell 1000, R3: Russell 3000
3131
Table 6: Donut Portfolio AnalysisAXIOMA Fundamental Risk ModelTime Period: 12/2002 - 11/2018
Portfolios
RiskStock
SpecificEffect
RiskStock
SpecificEffectT-Stat
RiskFactorsEffect
RiskFactorsEffectT-Stat
RiskTotalEffect
RiskTrans.Effect
TotalEffect
ACW_DONUT_CTEF_STAT_6TE 4.43 3.65 3.00 3.11 7.42 -3.96 3.46
EM_DONUT_CTEF_STAT_6TE 1.82 1.94 4.37 3.94 6.19 -2.95 3.25
XUS_DONUT_CTEF_STAT_6TE 3.14 3.27 4.18 3.73 7.32 -4.56 2.76
EM_DONUT_CTEF_FUND_6TE 1.49 1.76 4.00 4.01 5.49 -2.83 2.66
3232
Table 6 cont.: Donut Portfolio AnalysisAXIOMA Fundamental Risk ModelTime Period: 12/2002 - 11/2018
Portfolios Div
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Size
Valu
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tility
ACW_DONUT_CTEF_STAT_6TE -0.01 0.69 -0.11 2.67 0.08 1.17 0.87 -0.01
EM_DONUT_CTEF_STAT_6TE 0.37 0.59 -0.03 2.09 0.27 0.46 0.61 0.37
XUS_DONUT_CTEF_STAT_6TE 0.07 0.72 -0.13 2.63 0.14 0.86 0.60 0.07
EM_DONUT_CTEF_FUND_6TE 0.31 0.60 -0.03 2.00 0.19 0.43 0.61 0.31
3333
Table 6 cont.: Donut Portfolio AnalysisAXIOMA Fundamental Risk ModelTime Period: 12/2002 - 11/2018
Portfolios
RiskStock
SpecificEffect
RiskStock
SpecificEffectT-Stat
RiskFactorsEffect
RiskFactorsEffectT-Stat
RiskTotalEffect
RiskTrans.Effect
TotalEffect
ACW_DONUT_CTEF_FUND_6TE 3.93 3.17 2.19 2.66 6.12 -3.76 2.36
XUS_DONUT_CTEF_FUND_6TE 2.46 2.72 3.82 3.48 6.28 -4.34 1.94
EM_DONUT_REG9_STAT_6TE 0.27 0.79 4.57 3.76 4.83 -3.15 1.68
EM_DONUT_REG9_FUND_6TE 0.31 0.71 3.82 3.60 4.14 -2.92 1.22
3434
Table 6 cont.: Donut Portfolio AnalysisAXIOMA Fundamental Risk ModelTime Period: 12/2002 - 11/2018
Portfolios Div
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Size
Valu
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tility
ACW_DONUT_CTEF_FUND_6TE 0.03 0.66 -0.16 2.53 0.11 1.00 0.77 0.03
XUS_DONUT_CTEF_FUND_6TE 0.06 0.72 -0.18 2.48 0.22 0.83 0.53 0.06
EM_DONUT_REG9_STAT_6TE 0.43 0.27 0.25 0.06 -0.83 0.84 2.70 0.43
EM_DONUT_REG9_FUND_6TE 0.43 0.27 0.20 -0.03 -0.84 0.74 2.45 0.43
3535
Table 6 cont.: Donut Portfolio AnalysisAXIOMA Fundamental Risk ModelTime Period: 12/2002 - 11/2018
Portfolios
RiskStock
SpecificEffect
RiskStock
SpecificEffectT-Stat
RiskFactorsEffect
RiskFactorsEffectT-Stat
RiskTotalEffect
RiskTrans.Effect
TotalEffect
XUS_DONUT_REG9_STAT_6TE 0.51 0.58 2.85 2.87 3.35 -4.03 -0.68
ACW_DONUT_REG9_STAT_6TE -0.50 -0.21 2.78 2.47 2.29 -3.51 -1.22
XUS_DONUT_REG9_FUND_6TE 0.18 0.51 2.30 2.39 2.48 -3.86 -1.38
ACW_DONUT_REG9_FUND_6TE -0.57 -0.27 2.34 2.29 1.77 -3.21 -1.43
3636
Table 6 cont.: Donut Portfolio AnalysisAXIOMA Fundamental Risk ModelTime Period: 12/2002 - 11/2018
Portfolios Div
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tum
Prof
itabi
lity
Size
Valu
e
Vola
tility
XUS_DONUT_REG9_STAT_6TE 0.22 0.21 0.06 0.30 -0.87 1.27 2.48 0.22
ACW_DONUT_REG9_STAT_6TE 0.23 0.15 0.01 0.42 -1.03 1.84 3.11 0.23
XUS_DONUT_REG9_FUND_6TE 0.15 0.19 0.06 0.23 -0.85 1.21 2.30 0.15
ACW_DONUT_REG9_FUND_6TE 0.14 0.17 -0.03 0.29 -1.03 1.57 2.66 0.14
3737
Table 6 cont.: Donut Portfolio AnalysisAXIOMA Fundamental Risk ModelTime Period: 12/2002 - 11/2018
Portfolios
RiskStock
SpecificEffect
RiskStock
SpecificEffectT-Stat
RiskFactorsEffect
RiskFactorsEffectT-Stat
RiskTotalEffect
RiskTrans.Effect
TotalEffect
R3000_DONUT_CTEF_STAT_6TE 0.38 0.54 3.39 2.33 3.78 -1.84 1.94
R3000_DONUT_CTEF_FUND_6TE 0.56 0.74 2.71 2.22 3.27 -1.52 1.74
R3000_DONUT_REG9_STAT_6TE 2.43 1.79 0.19 0.59 2.62 -1.85 0.77
R3000_DONUT_REG9_FUND_6TE 1.23 1.06 0.40 0.68 1.63 -1.43 0.20
3838
Table 6 cont.: Donut Portfolio AnalysisAXIOMA Fundamental Risk ModelTime Period: 12/2002 - 11/2018
Portfolios Div
iden
dYi
eld
Earn
ings
Yiel
d
Gro
wth
Med
ium
-Te
rmM
omen
tum
Prof
itabi
lity
Size
Valu
e
Vola
tility
R3000_DONUT_CTEF_STAT_6TE 0.17 1.53 0.00 1.27 -0.20 -0.01 3.87 0.17
R3000_DONUT_CTEF_FUND_6TE 0.15 1.49 0.04 1.06 -0.20 0.02 3.40 0.15
R3000_DONUT_REG9_STAT_6TE 0.11 0.23 -0.17 -0.25 -0.11 -0.73 3.74 0.11
R3000_DONUT_REG9_FUND_6TE -0.02 0.36 -0.14 -0.14 -0.16 -0.71 3.23 -0.02
W H AT D O W E B E L I E V E ?
39
• Diversified Portfolios can Offer Positive Active Returns;
• Financial Anomalies, known in 1988, have Existed and Persisted;
• Portfolio Construction Requires Statistically Significant Tilt;
• Portfolio Constraints are Useful with several Anomalies;
• Higher tracking errors are preferred, no one likes a benchmark hugger
• Portfolio Implementation Donuts allow one to have its cake and eat it too!
• The Vast Source of Active Management is Derived from Forecasted EarningsAcceleration in Stock Selection; Stronger in non-U.S. and EM universes than inU.S. universes; Price Momentum Risk Premium is MUCH Larger in non-U.S. andEM universes than in U.S. universes!
D I S C L A I M E R
40
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