ETF Arbitrage and Return Predictability David C. Brown Shaun - - PowerPoint PPT Presentation

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ETF Arbitrage and Return Predictability David C. Brown Shaun - - PowerPoint PPT Presentation

ETF Arbitrage and Return Predictability David C. Brown Shaun William Davies University of Arizona University of Colorado Boulder Matthew Ringgenberg University of Utah January 5, 2018 American Finance Association Annual Meeting Brown,


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SLIDE 1

ETF Arbitrage and Return Predictability

David C. Brown

University of Arizona

Shaun William Davies

University of Colorado Boulder

Matthew Ringgenberg

University of Utah

January 5, 2018 American Finance Association Annual Meeting

1 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 2

Motivation

Demand Shocks and Absolute Price Efficiency Demand shocks hit assets and move prices

Informed traders (Kyle 1985) Noise traders (Shleifer and Summers 1990)

2 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 3

Motivation

Demand Shocks and Absolute Price Efficiency Demand shocks hit assets and move prices

Informed traders (Kyle 1985) Noise traders (Shleifer and Summers 1990)

Sources of demand shocks are often unknown for long periods of time, leading to predictable returns

Fire sales (Coval and Stafford 2007) Mutual fund flows (Lou 2012)

2 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 4

Motivation

Demand Shocks and Absolute Price Efficiency Demand shocks hit assets and move prices

Informed traders (Kyle 1985) Noise traders (Shleifer and Summers 1990)

Sources of demand shocks are often unknown for long periods of time, leading to predictable returns

Fire sales (Coval and Stafford 2007) Mutual fund flows (Lou 2012)

Thus, demand shocks often result in absolute price inefficiency

2 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 5

Motivation

Relative Price Efficiency and ETFs

When identical assets exist, arbitrageurs ensure the law of one price holds

3 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 6

Motivation

Relative Price Efficiency and ETFs

When identical assets exist, arbitrageurs ensure the law of one price holds

For example, ETFs and their underlying securities (NAV)

3 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 7

Motivation

Relative Price Efficiency and ETFs

When identical assets exist, arbitrageurs ensure the law of one price holds

For example, ETFs and their underlying securities (NAV)

Authorized participants make arbitrage trades to maintain relative price efficiency (Petajisto 2017, Engle and Sarkar 2006)

3 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 8

Motivation

Relative Price Efficiency and ETFs

When identical assets exist, arbitrageurs ensure the law of one price holds

For example, ETFs and their underlying securities (NAV)

Authorized participants make arbitrage trades to maintain relative price efficiency (Petajisto 2017, Engle and Sarkar 2006) Relative price efficiency does not imply absolute price efficiency

3 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 9

Motivation

ETF Arbitrage Example

NAV0 ETF0

Non-Fundamental Demand Shocks and Arbitrage Trades ETF Share Price and Underlying NAV

t=0 t=1 t=2 t=3 ETF Premium

4 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 10

Motivation

ETF Arbitrage Example

NAV0 ETF0

Non-Fundamental Demand Shocks and Arbitrage Trades ETF Share Price and Underlying NAV

t=0 t=1 t=2 t=3 NAV1 ETF1 Relative Demand Shocks ETF Premium

4 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 11

Motivation

ETF Arbitrage Example

NAV0 ETF0

Non-Fundamental Demand Shocks and Arbitrage Trades ETF Share Price and Underlying NAV

t=0 t=1 t=2 t=3 NAV1 ETF1 Relative Demand Shocks Arbitrage Activity NAV2 ETF2 ETF Premium

4 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 12

Motivation

ETF Arbitrage Example

NAV0 ETF0

Non-Fundamental Demand Shocks and Arbitrage Trades ETF Share Price and Underlying NAV

t=0 t=1 t=2 t=3 NAV1 ETF1 Relative Demand Shocks Arbitrage Activity Return To Fundamental Value NAV2 ETF2 NAV3 ETF3 ETF Premium

4 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 13

Motivation

ETF Arbitrage Example

NAV0 ETF0

Fundamental Demand Shocks and Arbitrage Trades ETF Share Price and Underlying NAV

t=0 t=1 t=2 t=3 ETF Premium

4 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 14

Motivation

ETF Arbitrage Example

NAV0 ETF0

Fundamental Demand Shocks and Arbitrage Trades ETF Share Price and Underlying NAV

t=0 t=1 t=2 t=3 NAV1 ETF1 Relative Demand Shocks ETF Premium

4 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 15

Motivation

ETF Arbitrage Example

NAV0 ETF0

Fundamental Demand Shocks and Arbitrage Trades ETF Share Price and Underlying NAV

t=0 t=1 t=2 t=3 NAV1 ETF1 Relative Demand Shocks Arbitrage Activity NAV2 ETF2 ETF Premium

4 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 16

Motivation

ETF Arbitrage Example

NAV0 ETF0

Fundamental Demand Shocks and Arbitrage Trades ETF Share Price and Underlying NAV

t=0 t=1 t=2 t=3 NAV1 ETF1 Relative Demand Shocks Arbitrage Activity Return To Fundamental Value NAV2 ETF2 NAV3 ETF3 ETF Premium

4 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 17

Motivation

Null Hypothesis: Weak-Form Market Efficiency Relative demand shocks lead to arbitrage activity

5 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 18

Motivation

Null Hypothesis: Weak-Form Market Efficiency Relative demand shocks lead to arbitrage activity Following arbitrage activity, prices should return to fundamental values

Non-fundamental shocks → price reversions Fundamental shocks → price continuation

5 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 19

Motivation

Null Hypothesis: Weak-Form Market Efficiency Relative demand shocks lead to arbitrage activity Following arbitrage activity, prices should return to fundamental values

Non-fundamental shocks → price reversions Fundamental shocks → price continuation

Arbitrage activity is:

1

symptomatic of relative demand shocks

5 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 20

Motivation

Null Hypothesis: Weak-Form Market Efficiency Relative demand shocks lead to arbitrage activity Following arbitrage activity, prices should return to fundamental values

Non-fundamental shocks → price reversions Fundamental shocks → price continuation

Arbitrage activity is:

1

symptomatic of relative demand shocks

2

  • bservable

5 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 21

Motivation

Null Hypothesis: Weak-Form Market Efficiency Relative demand shocks lead to arbitrage activity Following arbitrage activity, prices should return to fundamental values

Non-fundamental shocks → price reversions Fundamental shocks → price continuation

Arbitrage activity is:

1

symptomatic of relative demand shocks

2

  • bservable

Absolute price efficiency should be quickly restored

5 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 22

Motivation

Null Hypothesis: Weak-Form Market Efficiency Relative demand shocks lead to arbitrage activity Following arbitrage activity, prices should return to fundamental values

Non-fundamental shocks → price reversions Fundamental shocks → price continuation

Arbitrage activity is:

1

symptomatic of relative demand shocks

2

  • bservable

Absolute price efficiency should be quickly restored Null hypothesis: Monthly arbitrage activity does not predict monthly returns

5 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 23

Motivation

What We Do

Overview

Use ETF creation / redemption mechanism to test whether markets incorporate the information in arbitrage trades

6 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 24

Motivation

What We Do

Overview

Use ETF creation / redemption mechanism to test whether markets incorporate the information in arbitrage trades ETFs provide a unique opportunity to identify demand shocks

Authorized Participants engage in arbitrage trades to correct mispricing from relative demand shocks Daily share changes provide an observable measure of arbitrage activity

6 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 25

Motivation

What We Do

Overview

Use ETF creation / redemption mechanism to test whether markets incorporate the information in arbitrage trades ETFs provide a unique opportunity to identify demand shocks

Authorized Participants engage in arbitrage trades to correct mispricing from relative demand shocks Daily share changes provide an observable measure of arbitrage activity

Preview of Results

Arbitrage activity predicts future asset returns

For both the underlying stocks and ETFs themselves

6 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 26

Motivation

What We Do

Overview

Use ETF creation / redemption mechanism to test whether markets incorporate the information in arbitrage trades ETFs provide a unique opportunity to identify demand shocks

Authorized Participants engage in arbitrage trades to correct mispricing from relative demand shocks Daily share changes provide an observable measure of arbitrage activity

Preview of Results

Arbitrage activity predicts future asset returns

For both the underlying stocks and ETFs themselves

Arbitrage activity is associated with return reversals

6 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 27

Motivation

What We Do

Overview

Use ETF creation / redemption mechanism to test whether markets incorporate the information in arbitrage trades ETFs provide a unique opportunity to identify demand shocks

Authorized Participants engage in arbitrage trades to correct mispricing from relative demand shocks Daily share changes provide an observable measure of arbitrage activity

Preview of Results

Arbitrage activity predicts future asset returns

For both the underlying stocks and ETFs themselves

Arbitrage activity is associated with return reversals ETF investors collectively mistime the market

6 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 28

Empirical Analysis: Data

ETF Sample

Monthly data for 2,196 ETFs spanning 2007 to 2016

500 1,000 1,500 2,000 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Number of ETFs in Sample

All ETFs $0 $500 $1,000 $1,500 $2,000 $2,500 $3,000 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Total ETF Sample AUM (billions)

All ETFs

7 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 29

Empirical Analysis: Data

ETF Sample

Monthly data for 2,196 ETFs spanning 2007 to 2016

500 1,000 1,500 2,000 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Number of ETFs in Sample

All ETFs $50M+ $0 $500 $1,000 $1,500 $2,000 $2,500 $3,000 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Total ETF Sample AUM (billions)

All ETFs $50M+

7 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 30

Empirical Analysis: Data

ETF Sample

Monthly data for 2,196 ETFs spanning 2007 to 2016

500 1,000 1,500 2,000 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Number of ETFs in Sample

All ETFs $50M+ Mature $0 $500 $1,000 $1,500 $2,000 $2,500 $3,000 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Total ETF Sample AUM (billions)

All ETFs $50M+ Mature

ETFs “mature” once creation/redemption activity exceeds 50% of days

7 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 31

Empirical Analysis: ETF-Level Evidence

Return Predictability Methodology

Sort ETFs into deciles based on net creations/redemptions over past month

8 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 32

Empirical Analysis: ETF-Level Evidence

Return Predictability Methodology

Sort ETFs into deciles based on net creations/redemptions over past month Analyze differences in portfolio returns between high redemption (Decile 1) and high creation (Decile 10) ETFs

8 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 33

Empirical Analysis: ETF-Level Evidence

Return Predictability Methodology

Sort ETFs into deciles based on net creations/redemptions over past month Analyze differences in portfolio returns between high redemption (Decile 1) and high creation (Decile 10) ETFs Regress monthly ETF returns on factors (raw returns, 3-factor, 4-factor and 5-factor models)

8 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 34

Empirical Analysis: ETF-Level Evidence

Return Predictability Methodology

Sort ETFs into deciles based on net creations/redemptions over past month Analyze differences in portfolio returns between high redemption (Decile 1) and high creation (Decile 10) ETFs Regress monthly ETF returns on factors (raw returns, 3-factor, 4-factor and 5-factor models)

Consistent results using NAV returns

8 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 35

Empirical Analysis: ETF-Level Evidence

Return Predictability Methodology

Sort ETFs into deciles based on net creations/redemptions over past month Analyze differences in portfolio returns between high redemption (Decile 1) and high creation (Decile 10) ETFs Regress monthly ETF returns on factors (raw returns, 3-factor, 4-factor and 5-factor models)

Consistent results using NAV returns Consistent results for stock-level returns using aggregated ETF creations and redemptions

8 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 36

Empirical Analysis: ETF-Level Evidence

ETF Arbitrage Negatively Predicts Returns

0.681** 0.712* ‐1.312*** ‐0.485 ‐2 ‐1 1 2 Equal‐Weighted (1.99%***) Value‐Weighted (1.20%**) Monthly Return (%)

High Redemption vs. High Creation Raw ETF Returns

Redemptions (Decile 1) Creations (Decile 10)

9 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 37

Empirical Analysis: ETF-Level Evidence

ETF Arbitrage Negatively Predicts Returns

0.681** 0.712* ‐1.312*** ‐0.485 ‐2 ‐1 1 2 Equal‐Weighted (1.99%***) Value‐Weighted (1.20%**) Monthly Return (%)

High Redemption vs. High Creation Raw ETF Returns

Redemptions (Decile 1) Creations (Decile 10)

Equal-weighted → 26.7% annualized raw return

9 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 38

Empirical Analysis: ETF-Level Evidence

ETF Arbitrage Negatively Predicts Returns

0.681** 0.712* ‐1.312*** ‐0.485 ‐2 ‐1 1 2 Equal‐Weighted (1.99%***) Value‐Weighted (1.20%**) Monthly Return (%)

High Redemption vs. High Creation Raw ETF Returns

Redemptions (Decile 1) Creations (Decile 10)

Value-weighted → 15.4% annualized raw return

9 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 39

Empirical Analysis: ETF-Level Evidence

ETF Arbitrage Negatively Predicts Returns

0.681** 0.712* ‐1.312*** ‐0.485 ‐2 ‐1 1 2 Equal‐Weighted (1.99%***) Value‐Weighted (1.20%**) Monthly Return (%)

High Redemption vs. High Creation Raw ETF Returns

Redemptions (Decile 1) Creations (Decile 10)

Return reversion suggests relative demand shocks are non-fundamental, consistent with Ben-David, Franzoni, Moussawi (Forthcoming JF)

9 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 40

Empirical Analysis: ETF-Level Evidence

ETF Arbitrage Negatively Predicts Returns

0.681** 0.712* ‐1.312*** ‐0.485 ‐2 ‐1 1 2 Equal‐Weighted (1.99%***) Value‐Weighted (1.20%**) Monthly Return (%)

High Redemption vs. High Creation Raw ETF Returns

Redemptions (Decile 1) Creations (Decile 10)

Similar results using factor-based alphas or NAVs

9 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 41

Empirical Analysis: ETF-Level Evidence

Predictability Stronger in High-Activity ETFs

0.62 0.86** 1.04** 0.52 ‐0.64 ‐0.79 ‐2.00 ‐1.00 0.00 1.00 2.00 Low Activity (0.10%) Medium Activity (1.50%***) High Activity (1.83%**) Monthly Return (%)

High Redemption vs. High Creation Raw ETF Returns by ETF Activity Terciles

Redemptions (Decile 1) Creations (Decile 10)

10 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 42

Empirical Analysis: ETF-Level Evidence

Predictability Stronger in High-Activity ETFs

0.62 0.86** 1.04** 0.52 ‐0.64 ‐0.79 ‐2.00 ‐1.00 0.00 1.00 2.00 Low Activity (0.10%) Medium Activity (1.50%***) High Activity (1.83%**) Monthly Return (%)

High Redemption vs. High Creation Raw ETF Returns by ETF Activity Terciles

Redemptions (Decile 1) Creations (Decile 10)

More arbitrage activity is associated with more return predictability

10 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 43

Empirical Analysis: ETF-Level Evidence

Results Concentrated in Levered and Broad-Market ETFs

0.54** 1.53* 1.19 0.08 ‐0.28 1.20 0.10 ‐1.02*** ‐2.80*** ‐2.48*** ‐0.29 ‐0.06 0.27 ‐0.25 ‐4.00 ‐3.00 ‐2.00 ‐1.00 0.00 1.00 2.00 Overall (1.56%***) Levered (4.23%***) Broad Market (3.67%***) Sector‐Based (0.37%) Bond (‐0.22%) Commodity (0.93%) International (0.35%) Montly Return (%)

High Redemption vs. High Creation Raw ETF Returns by ETF Category

Redemptions (Decile 1) Creations (Decile 10)

11 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 44

Empirical Analysis: ETF-Level Evidence

Results Concentrated in Levered and Broad-Market ETFs

0.54** 1.53* 1.19 0.08 ‐0.28 1.20 0.10 ‐1.02*** ‐2.80*** ‐2.48*** ‐0.29 ‐0.06 0.27 ‐0.25 ‐4.00 ‐3.00 ‐2.00 ‐1.00 0.00 1.00 2.00 Overall (1.56%***) Levered (4.23%***) Broad Market (3.67%***) Sector‐Based (0.37%) Bond (‐0.22%) Commodity (0.93%) International (0.35%) Montly Return (%)

High Redemption vs. High Creation Raw ETF Returns by ETF Category

Redemptions (Decile 1) Creations (Decile 10)

Levered ETFs show the strongest predictability

11 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 45

Empirical Analysis: ETF-Level Evidence

Results Concentrated in Levered and Broad-Market ETFs

0.54** 1.53* 1.19 0.08 ‐0.28 1.20 0.10 ‐1.02*** ‐2.80*** ‐2.48*** ‐0.29 ‐0.06 0.27 ‐0.25 ‐4.00 ‐3.00 ‐2.00 ‐1.00 0.00 1.00 2.00 Overall (1.56%***) Levered (4.23%***) Broad Market (3.67%***) Sector‐Based (0.37%) Bond (‐0.22%) Commodity (0.93%) International (0.35%) Montly Return (%)

High Redemption vs. High Creation Raw ETF Returns by ETF Category

Redemptions (Decile 1) Creations (Decile 10)

Broad market ETFs, not niche ETFs, drive our results

11 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 46

Empirical Analysis: Time Series Evidence

What Does This Cost Investors?

Our results suggest ETF investors collectively mistime market

ETF creations → lower future ETF performance ETF redemptions → higher future ETF performance

12 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 47

Empirical Analysis: Time Series Evidence

What Does This Cost Investors?

Our results suggest ETF investors collectively mistime market

ETF creations → lower future ETF performance ETF redemptions → higher future ETF performance

Implication: investors consistently overpay to gain ETF exposure

12 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 48

Empirical Analysis: Time Series Evidence

What Does This Cost Investors?

Our results suggest ETF investors collectively mistime market

ETF creations → lower future ETF performance ETF redemptions → higher future ETF performance

Implication: investors consistently overpay to gain ETF exposure

Individual cost depends on frequency of trade

12 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 49

Empirical Analysis: Time Series Evidence

What Does This Cost Investors?

Our results suggest ETF investors collectively mistime market

ETF creations → lower future ETF performance ETF redemptions → higher future ETF performance

Implication: investors consistently overpay to gain ETF exposure

Individual cost depends on frequency of trade We consider a representative investor who re-balances according to creations/redemptions

12 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 50

Empirical Analysis: Time Series Evidence

Time-Series Methodology

Standard time-series analysis assumes fixed quantities of shares

13 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 51

Empirical Analysis: Time Series Evidence

Time-Series Methodology

Standard time-series analysis assumes fixed quantities of shares ETF time-series analysis must account for creations and redemptions

13 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 52

Empirical Analysis: Time Series Evidence

Time-Series Methodology

Standard time-series analysis assumes fixed quantities of shares ETF time-series analysis must account for creations and redemptions We generate share-growth-adjusted (i.e. asset-weighted) returns to account for total capital invested in ETFs

13 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 53

Empirical Analysis: Time Series Evidence

Time-Series Methodology

Standard time-series analysis assumes fixed quantities of shares ETF time-series analysis must account for creations and redemptions We generate share-growth-adjusted (i.e. asset-weighted) returns to account for total capital invested in ETFs Effective fees capture difference between actual and asset-weighted returns

13 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 54

Empirical Analysis: Time Series Evidence

Time-Series Methodology

Standard time-series analysis assumes fixed quantities of shares ETF time-series analysis must account for creations and redemptions We generate share-growth-adjusted (i.e. asset-weighted) returns to account for total capital invested in ETFs Effective fees capture difference between actual and asset-weighted returns We randomize ETF flows using block-bootstrap Monte Carlo methods to:

Generate test statistics (p-values based on 1,000,000 simulations) Control for growth of ETF industry over time

13 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 55

Empirical Analysis: Time Series Evidence

Effective Fees Are More Negative Than Positive

0% 5% 10% 15% 20% 25% 30% Percent of Observations P‐Values

Distribution of Effective Fee P‐Values

Equal‐Weights Value‐Weights Expected Distribution

14 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 56

Empirical Analysis: Time Series Evidence

Effective Fees Are More Negative Than Positive

0% 5% 10% 15% 20% 25% 30% Percent of Observations P‐Values

Distribution of Effective Fee P‐Values

Equal‐Weights Value‐Weights Expected Distribution

Equal-weighted → 12% < 0.05 p-value threshold

14 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 57

Empirical Analysis: Time Series Evidence

Effective Fees Are More Negative Than Positive

0% 5% 10% 15% 20% 25% 30% Percent of Observations P‐Values

Distribution of Effective Fee P‐Values

Equal‐Weights Value‐Weights Expected Distribution

Value-weighted → 26% < 0.05 p-value threshold

14 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 58

Empirical Analysis: Time Series Evidence

Negative Effective Fee Examples: SPY & Total ETF AUM SPY (largest ETF, replicates S&P500):

Actual annual return (2007–2016): 6.89%

15 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

slide-59
SLIDE 59

Empirical Analysis: Time Series Evidence

Negative Effective Fee Examples: SPY & Total ETF AUM SPY (largest ETF, replicates S&P500):

Actual annual return (2007–2016): 6.89% Average simulated share-growth-adjusted annual return: 6.92%

15 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 60

Empirical Analysis: Time Series Evidence

Negative Effective Fee Examples: SPY & Total ETF AUM SPY (largest ETF, replicates S&P500):

Actual annual return (2007–2016): 6.89% Average simulated share-growth-adjusted annual return: 6.92% Realized share-growth-adjusted annual return: 5.44%

15 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 61

Empirical Analysis: Time Series Evidence

Negative Effective Fee Examples: SPY & Total ETF AUM SPY (largest ETF, replicates S&P500):

Actual annual return (2007–2016): 6.89% Average simulated share-growth-adjusted annual return: 6.92% Realized share-growth-adjusted annual return: 5.44% Annualized Effective Fee: 1.48%

15 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 62

Empirical Analysis: Time Series Evidence

Negative Effective Fee Examples: SPY & Total ETF AUM SPY (largest ETF, replicates S&P500):

Actual annual return (2007–2016): 6.89% Average simulated share-growth-adjusted annual return: 6.92% Realized share-growth-adjusted annual return: 5.44% Annualized Effective Fee: 1.48%

Total ETF AUM (Aggregated)

Annualized effective fee (2007–2016): 0.33%

15 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 63

Empirical Analysis: Time Series Evidence

Negative Effective Fee Examples: SPY & Total ETF AUM SPY (largest ETF, replicates S&P500):

Actual annual return (2007–2016): 6.89% Average simulated share-growth-adjusted annual return: 6.92% Realized share-growth-adjusted annual return: 5.44% Annualized Effective Fee: 1.48%

Total ETF AUM (Aggregated)

Annualized effective fee (2007–2016): 0.33% Annualized effective fee (2007–2011): 0.55%

15 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 64

Empirical Analysis: Time Series Evidence

Negative Effective Fee Examples: SPY & Total ETF AUM SPY (largest ETF, replicates S&P500):

Actual annual return (2007–2016): 6.89% Average simulated share-growth-adjusted annual return: 6.92% Realized share-growth-adjusted annual return: 5.44% Annualized Effective Fee: 1.48%

Total ETF AUM (Aggregated)

Annualized effective fee (2007–2016): 0.33% Annualized effective fee (2007–2011): 0.55% Annualized effective fee (2012–2016): 0.07%

15 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 65

Empirical Analysis: Time Series Evidence

Negative Effective Fee Examples: SPY & Total ETF AUM SPY (largest ETF, replicates S&P500):

Actual annual return (2007–2016): 6.89% Average simulated share-growth-adjusted annual return: 6.92% Realized share-growth-adjusted annual return: 5.44% Annualized Effective Fee: 1.48%

Total ETF AUM (Aggregated)

Annualized effective fee (2007–2016): 0.33% Annualized effective fee (2007–2011): 0.55% Annualized effective fee (2012–2016): 0.07% 0.07% on $2.3 trillion AUM → $1.6 billion of underperformance in 2016

15 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 66

Conclusion

Take Aways

1

ETF arbitrage activity negatively predicts future returns

16 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 67

Conclusion

Take Aways

1

ETF arbitrage activity negatively predicts future returns

2

Observable, non-fundamental demand shocks are not quickly offset by market participants

16 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg

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SLIDE 68

Conclusion

Take Aways

1

ETF arbitrage activity negatively predicts future returns

2

Observable, non-fundamental demand shocks are not quickly offset by market participants

3

Information conveyed by arbitrage trades is not fully incorporated into prices

16 / 16 ETF Arbitrage and Return Predictability Brown, Davies and Ringgenberg