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All About Factors
What are they? Can we time them? How should
we diversify them?
March 2017
Newfound Research LLC
425 Boylston Street, 3rd Floor
Boston, MA 02116
p: +1.617.531.9773 | w: thinknewfound.com Newfound Case ID: 5600113
Founded in August 2008, Newfound Research is quantitative asset
management firm based out of Boston, MA.
Investing at the intersection of quantitative and behavioral finance,
Newfound Research is dedicated to helping clients achieve their long-
term goals with research-driven, quantitatively-managed portfolios,
while simultaneously acknowledging that the quality of the journey is
just as important as the destination.
Nominated for 2016 ETF Strategist of the Year by ETF.com
2
About Newfound Research
3
Global Research Readership
Readership stats
• ~50 publications per year
• ~2800 subscribers
• ~160k article views in 2016
• Channels represented:
• Pensions
• Insurance Companies
• Superannuation Funds
• Family Offices
• Wealth Advisory
Audiences across the globe regularly utilize our data-driven investment research to help make
portfolio management decisions within institutional mandates
You can sign up to receive or weekly research commentary at
http://blog.thinknewfound.com
4
About Newfound Research
QUANTITATIVE
“If I buy a smart-beta ETF and
short the market, am I net
long smart?”
As told to Corey Hoffstein by Eric Balchunas, Senior ETF Analyst at Bloomberg Intelligence
QUANTITATIVE
Topic #1
So what are
factors?
𝑟" = 𝑟$ + 𝛽 𝑟' − 𝑟$ + 𝜖
7
What are factors anyway?
The Standard Capital Asset Pricing Model
A “Single Factor” Model
𝑟" = 𝑟$ + 𝛽 𝑟' − 𝑟$ + 𝜖
8
What are factors anyway?
Portfolio Return
Risk-Free Rate
Systematic Risk
(Uncompensated) Noise
Increased exposure to systematic risk implies
increased return
𝑟" = 𝛼 +	𝑟$ +𝛽 𝑟' − 𝑟$ + 𝜖
9
What are factors anyway?
SWEET, SWEET “RISK-FREE” ALPHA
The goal of active investing…
𝑟" = 𝛼 +	𝑟$ +𝛽 𝑟' − 𝑟$ + 𝝐
10
What are factors anyway?
Risk free???
𝑟" = 𝛼 +	𝑟$ +𝛽 𝑟' − 𝑟$ + 𝜖
11
What are factors anyway?
Some assumptions we usually make…
~𝑵(𝟎, 𝝈 𝝐)~𝑵(𝝁 𝒎, 𝝈 𝒎)
𝑟" =	𝑟$ +𝛽 𝑟' − 𝑟$ + 𝐹
12
What are factors anyway?
~𝑵(𝜶, 𝝈 𝝐)~𝑵(𝝁 𝒎, 𝝈 𝒎)
Maybe combine “alpha” with the noise component?
𝑟" = 𝑟$ + 𝛽 𝑟' − 𝑟$ + 𝛽8 𝑟8 + 𝜖
13
What are factors anyway?
Exposure to
portfolio with
“active” return
(residual
risk)
𝑟" =
𝑟$ + 𝛽' 𝑟' − 𝑟$
+	𝛽9:; 𝑟9:;
+	𝛽<:= 𝑟<:=
+	𝜖
14
What are factors anyway?
“Value”
“Size”
Fama-French 3-Factor Model
QUANTITATIVE
Factor investing is the
implementation of systematic
portfolio rules in effort to
harvest positive active
returns.
16
What are factors anyway?
Aren’t markets efficient?
Where do we expect these “positive
active returns” to come from?
17
What are factors anyway?
1. Risk
2. Behavioral biases
3. Market structure
18
What are factors anyway?
Risk
Investors are risk averse. Taking on extra risk requires getting extra
reward.
Essentially, you’re acting as an insurer: collecting a premium so other
investors can offload risk.
For that extra risk you bear, you collect a reward.
This does not violate the efficient market hypothesis.
19
What are factors anyway?
Risk
Commonly cited examples:
The value premium comes from buying securities the general market
views as being distressed. To hold these riskier securities, you earn a
premium.
The size premium comes from holding smaller capitalization securities,
which are often less liquid. To hold less liquid securities, you earn a
premium.
20
What are factors anyway?
Behavioral bias
Investors exhibit “irrational” cognitive biases that can be exploited by
more rational market participants.
21
What are factors anyway?
Behavioral bias
Commonly cited examples:
The momentum premium arises from several cognitive biases,
including the anchoring, the disposition effect, and herding.
The low-volatility premium arises from an aversion to leverage and
the lottery effect.
22
What are factors anyway?
Market structure
By the way the markets are structured, there may be opportunities to
exploit price-insensitive buyers and sellers.
23
What are factors anyway?
Market structure
Commonly cited examples:
The fallen angels premium comes from institutions indiscriminately
selling investment grade bonds that have been downgraded.
Excess premium found in dividend swaps may arise from banks
looking to offload dividend exposure.
QUANTITATIVE
How do we research factors?
25
What are factors anyway?
1. Think of a way to rank stocks
26
What are factors anyway?
0%
2%
4%
6%
8%
10%
12%
14%
16%
Low 2nd 3rd 4th 5th 6th 7th 8th 9th Hi
Decile
Annualized Returns for Portfolios Formed on Book-to-Price
Source: Kenneth French Data Library; Calculations by Newfound Research. Past performance is no guarantee of future results.
27
What are factors anyway?
1. Think of a way to rank stocks
2. Buy the top-ranked stuff; short sell the
bottom-ranked stuff.
28
What are factors anyway?
0%
2%
4%
6%
8%
10%
12%
14%
16%
Low 2nd 3rd 4th 5th 6th 7th 8th 9th Hi
Decile
Annualized Returns for Portfolios Formed on Book-to-Price
Source: Kenneth French Data Library; Calculations by Newfound Research. Past performance is no guarantee of future results.
29
What are factors anyway?
1. Think of a way to rank stocks
2. Buy the top-ranked stuff; short sell the
bottom-ranked stuff.
3. Profit?
30
What are factors anyway?
0%
2%
4%
6%
8%
10%
12%
14%
16%
Low 2nd 3rd 4th 5th 6th 7th 8th 9th Hi
Decile
Annualized Returns for Portfolios Formed on Book-to-Price
Source: Kenneth French Data Library; Calculations by Newfound Research. Past performance is no guarantee of future results.
Average: 9.68% Average: 12.63%
31
What are factors anyway?
Why does research focus on long/short
approaches?
• Any portfolio can be thought as of the
market portfolio plus a long/short portfolio
• Allows us to focus on the long/short to
quantify value-add.
32
What are factors anyway?
Why “dollar neutral” long/shorts?
• Self-financing
• Easy to calculate
33
What are factors anyway?
Dollar neutral is not beta neutral.
(This means that some factors may unintentionally incorporate implicit
beta timing…)
-1.2
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
Rolling 5-Year Beta Exposure of Momentum Factor
Source: AQR; Calculations by Newfound Research.
34
What are factors anyway?
Commonly recognized equity factors:
• Value
• Size
• Momentum
• Low-Volatility / Anti-Beta
• Profitability / Quality
35
What are factors anyway?
Value
Sort stocks based on price-to-book; buy the “cheapest” stocks and
short sell the “expensive” stocks.
Theory as to why it works:
• Higher systematic (business cycle) risk
• Investor loss aversion
36
What are factors anyway?
Value
Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
0.1
1
10
100
7/1/26
5/1/28
3/1/30
1/1/32
11/1/33
9/1/35
7/1/37
5/1/39
3/1/41
1/1/43
11/1/44
9/1/46
7/1/48
5/1/50
3/1/52
1/1/54
11/1/55
9/1/57
7/1/59
5/1/61
3/1/63
1/1/65
11/1/66
9/1/68
7/1/70
5/1/72
3/1/74
1/1/76
11/1/77
9/1/79
7/1/81
5/1/83
3/1/85
1/1/87
11/1/88
9/1/90
7/1/92
5/1/94
3/1/96
1/1/98
11/1/99
9/1/01
7/1/03
5/1/05
3/1/07
1/1/09
11/1/10
9/1/12
7/1/14
5/1/16
37
What are factors anyway?
Size
Sort stocks based on market capitalization; buy the “smallest” stocks
and short sell the “largest” stocks.
Theory as to why it works:
• Higher systematic (business cycle) risk
• Liquidity risk
38
What are factors anyway?
Size
0.1
1
10
7/1/26
5/1/28
3/1/30
1/1/32
11/1/33
9/1/35
7/1/37
5/1/39
3/1/41
1/1/43
11/1/44
9/1/46
7/1/48
5/1/50
3/1/52
1/1/54
11/1/55
9/1/57
7/1/59
5/1/61
3/1/63
1/1/65
11/1/66
9/1/68
7/1/70
5/1/72
3/1/74
1/1/76
11/1/77
9/1/79
7/1/81
5/1/83
3/1/85
1/1/87
11/1/88
9/1/90
7/1/92
5/1/94
3/1/96
1/1/98
11/1/99
9/1/01
7/1/03
5/1/05
3/1/07
1/1/09
11/1/10
9/1/12
7/1/14
5/1/16
Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
39
What are factors anyway?
Momentum
Sort stocks based on prior return; buy the recent “outperforming” stocks
and short sell the “underperforming” stocks.
Theory as to why it works:
• Under-reaction and over-reaction to information (caused by
disposition effect, information anchoring, and herding)
40
What are factors anyway?
Momentum
Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
1
10
100
1000
7/1/26
6/1/28
5/1/30
4/1/32
3/1/34
2/1/36
1/1/38
12/1/39
11/1/41
10/1/43
9/1/45
8/1/47
7/1/49
6/1/51
5/1/53
4/1/55
3/1/57
2/1/59
1/1/61
12/1/62
11/1/64
10/1/66
9/1/68
8/1/70
7/1/72
6/1/74
5/1/76
4/1/78
3/1/80
2/1/82
1/1/84
12/1/85
11/1/87
10/1/89
9/1/91
8/1/93
7/1/95
6/1/97
5/1/99
4/1/01
3/1/03
2/1/05
1/1/07
12/1/08
11/1/10
10/1/12
9/1/14
8/1/16
41
What are factors anyway?
Low-Volatility (Anti-Beta)
Sort stocks based on prior realized volatility (beta); buy the “low-
volatility” stocks and short sell the “high-volatility” stocks.
Theory as to why it works:
• Lottery effect
• Leverage aversion
(Note: Some researchers construct this long/short as beta neutral, not
dollar neutral)
42
What are factors anyway?
Low-Volatility (Anti-Beta)
Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
0.1
1
10
100
1000
7/1/26
6/1/28
5/1/30
4/1/32
3/1/34
2/1/36
1/1/38
12/1/39
11/1/41
10/1/43
9/1/45
8/1/47
7/1/49
6/1/51
5/1/53
4/1/55
3/1/57
2/1/59
1/1/61
12/1/62
11/1/64
10/1/66
9/1/68
8/1/70
7/1/72
6/1/74
5/1/76
4/1/78
3/1/80
2/1/82
1/1/84
12/1/85
11/1/87
10/1/89
9/1/91
8/1/93
7/1/95
6/1/97
5/1/99
4/1/01
3/1/03
2/1/05
1/1/07
12/1/08
11/1/10
10/1/12
9/1/14
8/1/16
43
What are factors anyway?
Quality (Profitability)
Sort stocks based on balance sheet quality (e.g. profitability); buy the
“high quality” stocks and short sell the “low quality” stocks.
Theory as to why it works:
• Errors-in-expectations
44
What are factors anyway?
Quality (Profitability)
Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
0.1
1
10
100
7/1/26
5/1/28
3/1/30
1/1/32
11/1/33
9/1/35
7/1/37
5/1/39
3/1/41
1/1/43
11/1/44
9/1/46
7/1/48
5/1/50
3/1/52
1/1/54
11/1/55
9/1/57
7/1/59
5/1/61
3/1/63
1/1/65
11/1/66
9/1/68
7/1/70
5/1/72
3/1/74
1/1/76
11/1/77
9/1/79
7/1/81
5/1/83
3/1/85
1/1/87
11/1/88
9/1/90
7/1/92
5/1/94
3/1/96
1/1/98
11/1/99
9/1/01
7/1/03
5/1/05
3/1/07
1/1/09
11/1/10
9/1/12
7/1/14
5/1/16
QUANTITATIVE
That’s it?
This sounds really, really
easy…
46
What are factors anyway?
Some things that make factor investing
difficult…
1. Is the factor actually data-mined garbage?
2. Can we stick with the factor?
3. How do we actually implement it?
QUANTITATIVE
Dealing with data-mining
48
What are factors anyway?
What is “data-mining”?
A million monkeys with a million keyboards and
infinite time will eventually produce
Shakespeare.
A million analysts with a million Bloombergs…
49
What are factors anyway?
Levi and Welch (2014) examined 600 published
factors.
49% produced zero-to-negative premia out-of-
sample.
Whoops.
50
What are factors anyway?
Swedroe and Berkin’s framework for sustainability:
• Persistent over time
• Pervasive across geographies
• Investable
• Intuitive
We’d add:
• Simple
QUANTITATIVE
Sticking with factors
52
What are factors anyway?
“If it was easy, everybody
would do it.”
53
What are factors anyway?
Often the method is easy…
Sticking with it is hard.
54
What are factors anyway?
Momentum (Log Scale)
Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
1
10
100
1000
7/1/26
6/1/28
5/1/30
4/1/32
3/1/34
2/1/36
1/1/38
12/1/39
11/1/41
10/1/43
9/1/45
8/1/47
7/1/49
6/1/51
5/1/53
4/1/55
3/1/57
2/1/59
1/1/61
12/1/62
11/1/64
10/1/66
9/1/68
8/1/70
7/1/72
6/1/74
5/1/76
4/1/78
3/1/80
2/1/82
1/1/84
12/1/85
11/1/87
10/1/89
9/1/91
8/1/93
7/1/95
6/1/97
5/1/99
4/1/01
3/1/03
2/1/05
1/1/07
12/1/08
11/1/10
10/1/12
9/1/14
8/1/16
55
What are factors anyway?
Momentum (Linear Scale)
Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
0
100
200
300
400
500
600
700
800
900
7/1/26
5/1/28
3/1/30
1/1/32
11/1/33
9/1/35
7/1/37
5/1/39
3/1/41
1/1/43
11/1/44
9/1/46
7/1/48
5/1/50
3/1/52
1/1/54
11/1/55
9/1/57
7/1/59
5/1/61
3/1/63
1/1/65
11/1/66
9/1/68
7/1/70
5/1/72
3/1/74
1/1/76
11/1/77
9/1/79
7/1/81
5/1/83
3/1/85
1/1/87
11/1/88
9/1/90
7/1/92
5/1/94
3/1/96
1/1/98
11/1/99
9/1/01
7/1/03
5/1/05
3/1/07
1/1/09
11/1/10
9/1/12
7/1/14
5/1/16
Collecting pennies…
Steamroller
56
What are factors anyway?
Momentum
(“Adjusted” for pain from losses being 2x pleasure from gains)
Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
57
What are factors anyway?
In fact, for a factor to work, we’d
posit it has to be hard to stick
with?
Why?
58
What are factors anyway?
Arithmetic of Active Management
• Weighted average return of market
participant performance is the market
return.
• Therefore, out-performance is a “zero
sum” game.
59
What are factors anyway?
Let’s assume the factor returns are easy to
harvest…
• The approach is viewed as “free money”
• More people will adopt the approach
• Money inflows will drive up prices and valuations
• Increased valuations will drive down forward
expected returns
• Out-performance opportunity converges towards
zero
60
What are factors anyway?
With factors…
Weak hands “fold” and pass the alpha to the
strong hands with the fortitude to “hold.”
61
What are factors anyway?
High returns attract
investors
Short-term self-fulfilling
cycle of further out-
performance.
High valuations cause
return expectations to turn
negative
Negative returns lead to
out-flows
Out-flows cause a short-
term self-fulfilling cycle of
further out-flows
Excess out-flows cause
return premiums to turn
positive
62
What are factors anyway?
Bad News
By this logic, no disciplined investment
approach (e.g. factors) can outperform all
the time.
To work in the long-run, there has to be pain in
the short-run.
63
What are factors anyway?
Good News
By the same logic, no disciplined investment
approach can underperform all the time
either.
(If an approach always underperforms, we can invert to
create an outperforming strategy, which we just said
can’t exist.)
QUANTITATIVE
Topic #2
Implementation
Matters
Implementation details to deal with…
1. How do we actually define the factor?
2. Going from self-financing long/shorts to long-only
portfolios
65
What are factors anyway?
Consider the value factor. Some common ways to define “value”:
• Price-to-book
• Price-to-earnings
• Price-to-sales
66
What are factors anyway?
Price-to-
Book
Price-to-
Earnings
Price-to-
Sales
Market
Ann. Return 13.9% 15.3% 14.4% 10.8%
Ann. Volatility 16.0% 15.6% 14.9% 14.9%
Sharpe Ratio 0.60 0.70 0.67 0.43
Source: Data from Kenneth French Data Library; Calculations by Newfound Research.
In the long run, they have all worked. In the short run, your mileage
may vary.
67
What are factors anyway?
Source: Data from Kenneth French Data Library; Calculations by Newfound Research.
Where are we spending our active risk?
Security level? Sector level?
Some Low-Volatility implementations
• The PowerShares S&P 500 Low Volatility ETF (SPLV)
• The SPDR SSGA US Large Cap Low Volatility ETF (LGLV)
• The iShares Edge MSCI Min Vol USA ETF (USMV)
68
What are factors anyway?
Some Low-Volatility Implementations
• The PowerShares S&P 500 Low Volatility ETF (SPLV)
• The SPDR SSGA US Large Cap Low Volatility ETF (LGLV)
• The iShares Edge MSCI Min Vol USA ETF (USMV)
Method
• Rank S&P 500 stocks based on trailing 12-month realized volatility
• Pick top 100 with lowest realized volatility
• Weight based on inverse proportion to realized 12-month volatility
69
What are factors anyway?
Some Low-Volatility Implementations
• The PowerShares S&P 500 Low Volatility ETF (SPLV)
• The SPDR SSGA US Large Cap Low Volatility ETF (LGLV)
• The iShares Edge MSCI Min Vol USA ETF (USMV)
Method
• Assign stocks from the Russell 1000 to their respective 10 sectors
• Rank stocks within their sector based on trailing 60-month realized
volatility
• For each sector, pick the lowest volatility stocks until total free float
market cap reaches 30% of the sector total
• Weight each stock in proportion to its inverse realized 60-month
variance (i.e., 1 / volatility squared), constrained to the lesser of 5% or
20x the index weight.
70
What are factors anyway?
Some Low-Volatility Implementations
• The PowerShares S&P 500 Low Volatility ETF (SPLV)
• The SPDR SSGA US Large Cap Low Volatility ETF (LGLV)
• The iShares Edge MSCI Min Vol USA ETF (USMV)
Method
• Optimization-based
• Re-weight holdings in MSCI USA Index to create minimum-volatility
portfolio subject to sector and security-level constraints.
71
What are factors anyway?
They can’t all be right, can they?
• SPLV: The “vanilla” low-volatility approach.
• LGLV: Asness, Frazzini, and Pedersen (2014) find evidence to
support the approach while De Carvalho, Zakaria, Lu and Moulin
(2014) find that sector-neutral, low-volatility approaches may
actually be more efficient at harvesting alpha than non-sector
neutral approaches.
• USMV: De Carvalho, Lu, and Moulin (2012) find that the key factor
exposures in a minimum variance portfolio is low beta and low
residual volatility stocks. So despite a more opaque construction
methodology, USMV should tap into the same low volatility factor
as SPLV and LGLV.
72
What are factors anyway?
Finally, let’s talk about these long/short
portfolios again…
Academically they are nice to work with.
Practically, they can cause problems in
creating “long-only” factor-tilted portfolios.
73
What are factors anyway?
What are factors anyway?
Simple Example
74
Weight
A 30%
B 70%
Weight
A -100%
B 100%
Weight
A -70%
B 170%
+ =
Market Portfolio “Dollar-Neutral”
Long/Short
Portfolio with shorting
and leverage
The problem with going long-only: the short side can be
constrained by how much you can reduce a position to zero.
Why does it matter?
• Which side of the factor creates the most value: the long or short
side?
• Are there important interaction effects between the long and
short sides?
75
What are factors anyway?
What are factors anyway?
Example: Hypothetical “size” factor example:
• Short the top 20% of S&P 500
• Long the bottom 20% of S&P 500
• Positions are market-cap weighted
• Sides are held dollar-neutral
76
Source: State Street; Invesco; Calculations by Newfound Research; Implied long/short portfolio calculated on 3/17/2017.
-7%
-6%
-5%
-4%
-3%
-2%
-1%
0%
1%
2%
Implied L/S Weight
What are factors anyway?
But when we try to “overlay” this long/short on the
S&P 500, we hit a problem:
• AAPL wants to be -5.66% of short leg
• AAPL is only 3.66% of the S&P 500.
In long-only implementation, we can only get 64% of the
long/short factor applied.
77
What are factors anyway?
What if instead of doing an overlay, we buy
just the long leg?
Creates leg sizing mismatch:
• 100% exposure to the long leg
• Still only 64% of the short leg
78
What are factors anyway?
Worse, a “buy the long leg” implementation for
more dynamic factors can create unintentional
timing of short-leg exposure.
79
What are factors anyway?
Extreme example:
80
Desired
Long/Short
Exposure
Implemented
Long-Only
Exposure
Implied Exposure
Long-Leg Short-Leg
T=0
Long Small-Cap /
Short Large-Cap
Bottom 20% 100% 64%
T=1
Long Large-Cap /
Short Small-Cap
Top 20% 100% 3.5%
QUANTITATIVE
The devil is in the
implementation details…
QUANTITATIVE
Topic #3
Can we “time”
factor exposure?
First, what do we mean by “timing”?
There are two types:
• Relative: “There are better things to be in.”
• Absolute: “I just shouldn’t be in this thing.”
83
Can we time factors?
QUANTITATIVE
Relative Timing
Abstract for a paper I co-authored in early 2016 and submitted to the
NAAIM Wagner Award competition.
When outperformance fixation
leads to large inflow temptation:
premiums erode,
investors unload,
enabling factor rotation!
(We didn’t win.)
85
Can we time factors?
Rotation Type #1: “Switching”
Idea: Factors go through cycles; can we switch between the “good” and
“bad” side of factors to time them?
86
Can we time factors?
Positive Side Negative Side
Value Cheap Expensive
Size Small Large
Quality High Low
Momentum Winners Losers
Beta Low Volatility High Beta
Rotation Type #1: “Switching”
Results using a momentum-based approach? Generally poor.
87
Can we time factors?
Source: Data from Kenneth French Data Library; Calculations by Newfound Research.
Rotation Type #2: “Relative”
Idea: The positive sides go through outperformance at different periods.
Can we tilt towards those showing recent outperformance and
away from those showing underperformance?
88
Can we time factors?
Rotation Type #2: “Relative”
Results using a momentum-based rotation approach? It works. (But is
it worth the headache?)
89
Can we time factors?
Source: Data from Kenneth French Data Library; Calculations by Newfound Research.
QUANTITATIVE
Absolute Timing
February 2016 – How Can ”Smart Beta” Go Horribly Wrong?
• Some factor returns (e.g. low volatility) are overstated due to long-
term, un-repeatable valuation multiple expansion.
• Current valuations vs. historic levels for some factors are over-
extended, portending lower future returns if not an outright “factor
crash.” Caveat emptor!
91
Can we time factors?
Rob Arnott
Research Affiliates
April 2016 – The Siren Song of Factor Timing
• Using value-spreads to time factors is not particularly useful.
• Which value measure you use completely changes your answer.
• No matter the measure, value spreads are within “normal” levels –
not like we saw in the dot-com bubble for the value factor.
• Resist the urge to time factors!
Note: This is all very ironic because it was Asness who in 2000
introduced the very idea of using value spreads to time the value
factor.
92
Can we time factors?
Cliff Asness
AQR
June 2016 – To Win with “Smart Beta” Ask If the Price Is Right
• Relative valuation does a good job of predicting subsequent 5-
year performance for U.S. equity factors.
• Tested “out-of-sample” against international factors. “In
Developed ex US and emerging markets, across most horizons,
relative valuations and future returns have overwhelmingly
negative relationships.”
93
Can we time factors?
Rob Arnott
Research Affiliates
June 2016 – My Factor Philippic
• Directionally agrees on which factors are expensive and which are
cheap, but nowhere near as extreme as Arnott.
• Arnott’s method of regression overstates the use of value-spread
timing, particularly for high-turnover factors.
• Having a crystal ball and knowing that valuations contract for
small-cap stocks over the next five years is meaningful
because the small-cap universe remains fairly static.
• Using that same crystal ball to see that valuations will
contract for a momentum strategy over the next five years is
less meaningful because the securities held could be 100%
different. Is the contraction due to value changes or just
different holdings?
94
Can we time factors?
Cliff Asness
AQR
June 2016 – My Factor Philippic (Cont.)
• Significant disagreement as to whether long-term factor returns
are real or based on valuation-spread changes.
Arnott forgets to account for “frictions” in his analysis!
• Portfolio turnover
• Changes in fundamentals (but not price)
95
Can we time factors?
Cliff Asness
AQR
September 2016 – Timing “Smart Beta” Strategies? Of Course! Buy
Low, Sell High!
• Factor timing based on value works! (But should be done
sparingly, as it might increase concentration risk.)
• Anecdotal evidence of “performance chasing” seen in asset
owners is a form of market timing.
• Based on returns alone, performance chasing smart beta is a
drag; contrarian timing a boon.
• Buying the cheapest factors outperforms a diversified, equal-
weight factor portfolio.
• Using a valuation-based approach to timing does not double down
on the value factor, since valuations are measured for each factor
relative to past valuations.
96
Can we time factors?
Rob Arnott
Research Affiliates
March 2017 – Contrarian Factor Timing is Deceptively Difficult
• “In multiple online white papers, Arnott and co-authors present
evidence in support of contrarian factor timing based on a plethora
of mostly inapplicable, exaggerated, and poorly designed tests
that also flout research norms.”
• That said, value-spreads at extreme levels (think value 1999-
2000) should be an eyebrow raiser.
• But we agree on performance chasing problems with factors.
Chasing strong results is a recipe for disaster.
• That said, “mild positive power” does not make a good timing
strategy.
• You’re still better off just diversifying.
97
Can we time factors?
Cliff Asness
AQR
QUANTITATIVE
Topic #4
Diversifying
Factors
Turns out, we can’t even agree on how to
diversify factors.
99
Diversifying factors
QUANTITATIVE
The Composite Approach
Approach #1: Composite
• Also known as “portfolio blend.”
• Give factor scores to each security.
• Build individual portfolios for each factor (e.g. choose securities
with top scores for that factor).
• Blend portfolios together as sleeves.
101
Diversifying factors
102
Diversifying factors
Source: Ghayur, Heaney, and Platt (2016)
QUANTITATIVE
The Integrated Approach
Approach #2: Integrated
• Also known as “signal blend.”
• Give factor scores to each security.
• Blend factor scores together to create a single composite
score.
• Create factor portfolio using composite score (e.g. choose
securities with top composite score).
104
Diversifying factors
105
Diversifying factors
Source: Ghayur, Heaney, and Platt (2016)
QUANTITATIVE
Comparing Approaches
107
Diversifying factors
Area 1: In both
Area 2: In integrated
but not in composite
Area 3: In composite
but not in integrated
Source: Ghayur, Heaney, and Platt (2016)
General Arguments for Composite
• Composite approach is more transparent.
• Factor research has been on single factors without enough
evidence about potential interaction effects.
• Factor alphas decay at different horizons so composite signal
will be driven by highest turnover factor.
108
Diversifying factors
General Arguments for Integrated
• Composite portfolios can create inefficient canceling out effects
in Area 3.
• Integrated approaches can introduce implicit leverage, allowing
you to use the same dollar to invest in multiple factors
simultaneously.
109
Diversifying factors
QUANTITATIVE
Capital Efficiency
Are integrated portfolios actually more capital efficient?
Analytical research performed by Newfound1:
• Assume securities have assigned z-scores for each factor.
• Build composite portfolio by equal-weighting top X% of
securities for each factor based on z-score.
• Build integrated portfolio by summing z-scores and equal-
weighting the top X% of securities based on composite z-score.
• “Capital efficiency” is measured as expected aggregate
portfolio z-score per factor.
111
Diversifying factors
1. See https://blog.thinknewfound.com/2016/10/capital-efficiency-multi-factor-portfolios/
Result? Under this setup, integrated portfolios are always just as – if
not significantly more – capital efficient than composite portfolios.
112
Diversifying factors
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1 2 3 4 5
ExpectedZ-ScoreperFactor
# of Factors
Expected Z-Score per Factor with Varying # Factors
(Choosing Top 25%)
Integrated Composite
Source: Newfound Research
Result? Under this setup, integrated portfolios are always just as – if
not significantly more – capital efficient than composite portfolios.
113
Diversifying factors
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
ExpectedZ-ScoreperFactor
Correlation Between Factor Z-Scores
Expected Z-Score per Factor with Varying Correlation:
(2 Factors; Choosing Top 25%)
Integrated Composite
Source: Newfound Research
QUANTITATIVE
Interaction Effects
Diversifying factors
Research from AQR (Fitzgibbons, Friedman, Pomorski, and
Serban (2016))
• Theoretical: Simulation-based; momentum and value;
assume equal style efficacy ; equal-weight holdings; match
# of stocks held by each approach
• Empirical: MSCI World; 1993-2015; value and momentum;
constraints: 80% of active risk budget spent in industry and
20% across industries.
115
Diversifying factors
Theoretical Results (Assuming Tracking Error of 2.5%)
116
Source: Fitzgibbons, Friedman, Pomorski, and Serban (2016)
Diversifying factors
Empirical Results (Assuming Tracking Error of 4%)
117
Source: Fitzgibbons, Friedman, Pomorski, and Serban (2016)
As predicted,
Area 3 stocks
Exhibit less
alpha than
Areas 1 & 2
QUANTITATIVE
Case closed?
Empirical research from the ActiveBeta team at Goldman Sachs Asset
Management:
• Test U.S. equity portfolios built from momentum and value
factors from 1979-2016.
• Focus on factor-equivalent portfolios (i.e. composite and
integrated portfolios with the same overall factor exposure).
• Two tests: “low concentration” and “high concentration”
exposure.
119
Diversifying factors
120
Diversifying factors
Source: Ghayur, Heaney, and Platt (2016)
Low Concentration Test Results
Annualized Active Returns for Value/Momentum Quadrants
This is almost the exact
opposite result that integrated
proponents claim should
happen.
Interaction effects in areas of
offsetting exposures may
actually be beneficial…
121
Diversifying factors
Source: Ghayur, Heaney, and Platt (2016)
High Concentration Test Results
Still positive interactive effects in Area 3 … but too much idiosyncratic risk
taken on in Area 1 for the composite approach.
QUANTITATIVE
Sweeping Generalizations
Integrated portfolios should be more “capital
efficient” than composite approaches.
123
Diversifying factors
Empirical evidence supporting the theoretical
arguments about “canceling out” effects are
mixed.
124
Diversifying factors
At low-to-moderate target factor exposures, a
composite approach can offer a higher
information ratio due to beneficial interaction
effects.
125
Diversifying factors
At higher target factor exposures, composite
approaches require too much idiosyncratic risk.
126
Diversifying factors
QUANTITATIVE
This is all to say nothing of
the many other impactful
portfolio construction
decisions…
QUANTITATIVE
In conclusion…
Factors are systematic approaches to investing
that seek to harvest excess return arising either
from (1) risk, (2) behavioral biases, or (3)
market structure inefficiencies.
129
Conclusion
We want to look for simple, robust, and
pervasive factors approaches.
130
Conclusion
Even if they work, they are going to be tough to
stick with.
(That’s what makes them work!)
131
Conclusion
Academic research does not necessarily
transfer to practice: implementation details
matter.
132
Conclusion
The jury is still out on factor timing.
133
Conclusion
You’re probably better off just diversifying your
factor exposure.
134
Conclusion
The jury is still out on how to diversify.
(You should probably do it anyway.)
135
Conclusion
QUANTITATIVE
Thank you.
QUANTITATIVE
Q&A?
Web: http://www.thinknewfound.com
Research: http://blog.thinknewfound.com
Phone: 617-531-9773
Email: info@thinknewfound.com
Twitter: @thinknewfound (@choffstein)
138
Contact
Certain information contained in this presentation constitutes “forward-looking statements,” which can
be identified by the use of forward-looking terminology such as “may,” “will,” “should,” “expect,”
“anticipate,” “project,” “estimate,” “intend,” “continue,” or “believe,” or the negatives thereof or other
variations or comparable terminology. Due to various risks and uncertainties, actual events or results
or the actual performance of an investment managed using any of the investment strategies or styles
described in this document may differ materially from those reflected in such forward- looking
statements. The information in this presentation is made available on an “as is,” without representation
or warranty basis.
There can be no assurance that any investment strategy or style will achieve any level of performance,
and investment results may vary substantially from year to year or even from month to month. An
investor could lose all or substantially all of his or her investment. Both the use of a single adviser and
the focus on a single investment strategy could result in the lack of diversification and consequently,
higher risk. The information herein is not intended to provide, and should not be relied upon for,
accounting, legal or tax advice or investment recommendations. You should consult your investment
adviser, tax, legal, accounting or other advisors about the matters discussed herein. These materials
represent an assessment of the market environment at specific points in time and are intended neither
to be a guarantee of future events nor as a primary basis for investment decisions. Past performance
is not indicative of future performance and investments in equity securities do present risk of loss.
139
Disclosures
Investors should understand that while performance results may show a general rising trend at times,
there is no assurance that any such trends will continue. If such trends are broken, then investors may
experience real losses. The information included in this presentation reflects the different assumptions,
views and analytical methods of Newfound as of the date of this presentation. This document contains
the opinions of the managers and such opinions are subject to change without notice. This document
has been distributed for informational purposes only and should not be considered as investment
advice or a recommendation of any particular security, strategy or investment product. This document
does not reflect the actual performance results of any Newfound investment strategy or index.
No part of this document may be reproduced in any form, or referred to in any other
publication, without express written permission from Newfound Research.
© Newfound Research LLC, 2017. All rights reserved.
140
Disclosures

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All About Factors: Understanding Risk Premia

  • 1. All About Factors What are they? Can we time them? How should we diversify them? March 2017 Newfound Research LLC 425 Boylston Street, 3rd Floor Boston, MA 02116 p: +1.617.531.9773 | w: thinknewfound.com Newfound Case ID: 5600113
  • 2. Founded in August 2008, Newfound Research is quantitative asset management firm based out of Boston, MA. Investing at the intersection of quantitative and behavioral finance, Newfound Research is dedicated to helping clients achieve their long- term goals with research-driven, quantitatively-managed portfolios, while simultaneously acknowledging that the quality of the journey is just as important as the destination. Nominated for 2016 ETF Strategist of the Year by ETF.com 2 About Newfound Research
  • 3. 3 Global Research Readership Readership stats • ~50 publications per year • ~2800 subscribers • ~160k article views in 2016 • Channels represented: • Pensions • Insurance Companies • Superannuation Funds • Family Offices • Wealth Advisory Audiences across the globe regularly utilize our data-driven investment research to help make portfolio management decisions within institutional mandates
  • 4. You can sign up to receive or weekly research commentary at http://blog.thinknewfound.com 4 About Newfound Research
  • 5. QUANTITATIVE “If I buy a smart-beta ETF and short the market, am I net long smart?” As told to Corey Hoffstein by Eric Balchunas, Senior ETF Analyst at Bloomberg Intelligence
  • 7. 𝑟" = 𝑟$ + 𝛽 𝑟' − 𝑟$ + 𝜖 7 What are factors anyway? The Standard Capital Asset Pricing Model A “Single Factor” Model
  • 8. 𝑟" = 𝑟$ + 𝛽 𝑟' − 𝑟$ + 𝜖 8 What are factors anyway? Portfolio Return Risk-Free Rate Systematic Risk (Uncompensated) Noise Increased exposure to systematic risk implies increased return
  • 9. 𝑟" = 𝛼 + 𝑟$ +𝛽 𝑟' − 𝑟$ + 𝜖 9 What are factors anyway? SWEET, SWEET “RISK-FREE” ALPHA The goal of active investing…
  • 10. 𝑟" = 𝛼 + 𝑟$ +𝛽 𝑟' − 𝑟$ + 𝝐 10 What are factors anyway? Risk free???
  • 11. 𝑟" = 𝛼 + 𝑟$ +𝛽 𝑟' − 𝑟$ + 𝜖 11 What are factors anyway? Some assumptions we usually make… ~𝑵(𝟎, 𝝈 𝝐)~𝑵(𝝁 𝒎, 𝝈 𝒎)
  • 12. 𝑟" = 𝑟$ +𝛽 𝑟' − 𝑟$ + 𝐹 12 What are factors anyway? ~𝑵(𝜶, 𝝈 𝝐)~𝑵(𝝁 𝒎, 𝝈 𝒎) Maybe combine “alpha” with the noise component?
  • 13. 𝑟" = 𝑟$ + 𝛽 𝑟' − 𝑟$ + 𝛽8 𝑟8 + 𝜖 13 What are factors anyway? Exposure to portfolio with “active” return (residual risk)
  • 14. 𝑟" = 𝑟$ + 𝛽' 𝑟' − 𝑟$ + 𝛽9:; 𝑟9:; + 𝛽<:= 𝑟<:= + 𝜖 14 What are factors anyway? “Value” “Size” Fama-French 3-Factor Model
  • 15. QUANTITATIVE Factor investing is the implementation of systematic portfolio rules in effort to harvest positive active returns.
  • 16. 16 What are factors anyway? Aren’t markets efficient? Where do we expect these “positive active returns” to come from?
  • 17. 17 What are factors anyway? 1. Risk 2. Behavioral biases 3. Market structure
  • 18. 18 What are factors anyway? Risk Investors are risk averse. Taking on extra risk requires getting extra reward. Essentially, you’re acting as an insurer: collecting a premium so other investors can offload risk. For that extra risk you bear, you collect a reward. This does not violate the efficient market hypothesis.
  • 19. 19 What are factors anyway? Risk Commonly cited examples: The value premium comes from buying securities the general market views as being distressed. To hold these riskier securities, you earn a premium. The size premium comes from holding smaller capitalization securities, which are often less liquid. To hold less liquid securities, you earn a premium.
  • 20. 20 What are factors anyway? Behavioral bias Investors exhibit “irrational” cognitive biases that can be exploited by more rational market participants.
  • 21. 21 What are factors anyway? Behavioral bias Commonly cited examples: The momentum premium arises from several cognitive biases, including the anchoring, the disposition effect, and herding. The low-volatility premium arises from an aversion to leverage and the lottery effect.
  • 22. 22 What are factors anyway? Market structure By the way the markets are structured, there may be opportunities to exploit price-insensitive buyers and sellers.
  • 23. 23 What are factors anyway? Market structure Commonly cited examples: The fallen angels premium comes from institutions indiscriminately selling investment grade bonds that have been downgraded. Excess premium found in dividend swaps may arise from banks looking to offload dividend exposure.
  • 24. QUANTITATIVE How do we research factors?
  • 25. 25 What are factors anyway? 1. Think of a way to rank stocks
  • 26. 26 What are factors anyway? 0% 2% 4% 6% 8% 10% 12% 14% 16% Low 2nd 3rd 4th 5th 6th 7th 8th 9th Hi Decile Annualized Returns for Portfolios Formed on Book-to-Price Source: Kenneth French Data Library; Calculations by Newfound Research. Past performance is no guarantee of future results.
  • 27. 27 What are factors anyway? 1. Think of a way to rank stocks 2. Buy the top-ranked stuff; short sell the bottom-ranked stuff.
  • 28. 28 What are factors anyway? 0% 2% 4% 6% 8% 10% 12% 14% 16% Low 2nd 3rd 4th 5th 6th 7th 8th 9th Hi Decile Annualized Returns for Portfolios Formed on Book-to-Price Source: Kenneth French Data Library; Calculations by Newfound Research. Past performance is no guarantee of future results.
  • 29. 29 What are factors anyway? 1. Think of a way to rank stocks 2. Buy the top-ranked stuff; short sell the bottom-ranked stuff. 3. Profit?
  • 30. 30 What are factors anyway? 0% 2% 4% 6% 8% 10% 12% 14% 16% Low 2nd 3rd 4th 5th 6th 7th 8th 9th Hi Decile Annualized Returns for Portfolios Formed on Book-to-Price Source: Kenneth French Data Library; Calculations by Newfound Research. Past performance is no guarantee of future results. Average: 9.68% Average: 12.63%
  • 31. 31 What are factors anyway? Why does research focus on long/short approaches? • Any portfolio can be thought as of the market portfolio plus a long/short portfolio • Allows us to focus on the long/short to quantify value-add.
  • 32. 32 What are factors anyway? Why “dollar neutral” long/shorts? • Self-financing • Easy to calculate
  • 33. 33 What are factors anyway? Dollar neutral is not beta neutral. (This means that some factors may unintentionally incorporate implicit beta timing…) -1.2 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 Rolling 5-Year Beta Exposure of Momentum Factor Source: AQR; Calculations by Newfound Research.
  • 34. 34 What are factors anyway? Commonly recognized equity factors: • Value • Size • Momentum • Low-Volatility / Anti-Beta • Profitability / Quality
  • 35. 35 What are factors anyway? Value Sort stocks based on price-to-book; buy the “cheapest” stocks and short sell the “expensive” stocks. Theory as to why it works: • Higher systematic (business cycle) risk • Investor loss aversion
  • 36. 36 What are factors anyway? Value Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results. 0.1 1 10 100 7/1/26 5/1/28 3/1/30 1/1/32 11/1/33 9/1/35 7/1/37 5/1/39 3/1/41 1/1/43 11/1/44 9/1/46 7/1/48 5/1/50 3/1/52 1/1/54 11/1/55 9/1/57 7/1/59 5/1/61 3/1/63 1/1/65 11/1/66 9/1/68 7/1/70 5/1/72 3/1/74 1/1/76 11/1/77 9/1/79 7/1/81 5/1/83 3/1/85 1/1/87 11/1/88 9/1/90 7/1/92 5/1/94 3/1/96 1/1/98 11/1/99 9/1/01 7/1/03 5/1/05 3/1/07 1/1/09 11/1/10 9/1/12 7/1/14 5/1/16
  • 37. 37 What are factors anyway? Size Sort stocks based on market capitalization; buy the “smallest” stocks and short sell the “largest” stocks. Theory as to why it works: • Higher systematic (business cycle) risk • Liquidity risk
  • 38. 38 What are factors anyway? Size 0.1 1 10 7/1/26 5/1/28 3/1/30 1/1/32 11/1/33 9/1/35 7/1/37 5/1/39 3/1/41 1/1/43 11/1/44 9/1/46 7/1/48 5/1/50 3/1/52 1/1/54 11/1/55 9/1/57 7/1/59 5/1/61 3/1/63 1/1/65 11/1/66 9/1/68 7/1/70 5/1/72 3/1/74 1/1/76 11/1/77 9/1/79 7/1/81 5/1/83 3/1/85 1/1/87 11/1/88 9/1/90 7/1/92 5/1/94 3/1/96 1/1/98 11/1/99 9/1/01 7/1/03 5/1/05 3/1/07 1/1/09 11/1/10 9/1/12 7/1/14 5/1/16 Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
  • 39. 39 What are factors anyway? Momentum Sort stocks based on prior return; buy the recent “outperforming” stocks and short sell the “underperforming” stocks. Theory as to why it works: • Under-reaction and over-reaction to information (caused by disposition effect, information anchoring, and herding)
  • 40. 40 What are factors anyway? Momentum Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results. 1 10 100 1000 7/1/26 6/1/28 5/1/30 4/1/32 3/1/34 2/1/36 1/1/38 12/1/39 11/1/41 10/1/43 9/1/45 8/1/47 7/1/49 6/1/51 5/1/53 4/1/55 3/1/57 2/1/59 1/1/61 12/1/62 11/1/64 10/1/66 9/1/68 8/1/70 7/1/72 6/1/74 5/1/76 4/1/78 3/1/80 2/1/82 1/1/84 12/1/85 11/1/87 10/1/89 9/1/91 8/1/93 7/1/95 6/1/97 5/1/99 4/1/01 3/1/03 2/1/05 1/1/07 12/1/08 11/1/10 10/1/12 9/1/14 8/1/16
  • 41. 41 What are factors anyway? Low-Volatility (Anti-Beta) Sort stocks based on prior realized volatility (beta); buy the “low- volatility” stocks and short sell the “high-volatility” stocks. Theory as to why it works: • Lottery effect • Leverage aversion (Note: Some researchers construct this long/short as beta neutral, not dollar neutral)
  • 42. 42 What are factors anyway? Low-Volatility (Anti-Beta) Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results. 0.1 1 10 100 1000 7/1/26 6/1/28 5/1/30 4/1/32 3/1/34 2/1/36 1/1/38 12/1/39 11/1/41 10/1/43 9/1/45 8/1/47 7/1/49 6/1/51 5/1/53 4/1/55 3/1/57 2/1/59 1/1/61 12/1/62 11/1/64 10/1/66 9/1/68 8/1/70 7/1/72 6/1/74 5/1/76 4/1/78 3/1/80 2/1/82 1/1/84 12/1/85 11/1/87 10/1/89 9/1/91 8/1/93 7/1/95 6/1/97 5/1/99 4/1/01 3/1/03 2/1/05 1/1/07 12/1/08 11/1/10 10/1/12 9/1/14 8/1/16
  • 43. 43 What are factors anyway? Quality (Profitability) Sort stocks based on balance sheet quality (e.g. profitability); buy the “high quality” stocks and short sell the “low quality” stocks. Theory as to why it works: • Errors-in-expectations
  • 44. 44 What are factors anyway? Quality (Profitability) Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results. 0.1 1 10 100 7/1/26 5/1/28 3/1/30 1/1/32 11/1/33 9/1/35 7/1/37 5/1/39 3/1/41 1/1/43 11/1/44 9/1/46 7/1/48 5/1/50 3/1/52 1/1/54 11/1/55 9/1/57 7/1/59 5/1/61 3/1/63 1/1/65 11/1/66 9/1/68 7/1/70 5/1/72 3/1/74 1/1/76 11/1/77 9/1/79 7/1/81 5/1/83 3/1/85 1/1/87 11/1/88 9/1/90 7/1/92 5/1/94 3/1/96 1/1/98 11/1/99 9/1/01 7/1/03 5/1/05 3/1/07 1/1/09 11/1/10 9/1/12 7/1/14 5/1/16
  • 45. QUANTITATIVE That’s it? This sounds really, really easy…
  • 46. 46 What are factors anyway? Some things that make factor investing difficult… 1. Is the factor actually data-mined garbage? 2. Can we stick with the factor? 3. How do we actually implement it?
  • 48. 48 What are factors anyway? What is “data-mining”? A million monkeys with a million keyboards and infinite time will eventually produce Shakespeare. A million analysts with a million Bloombergs…
  • 49. 49 What are factors anyway? Levi and Welch (2014) examined 600 published factors. 49% produced zero-to-negative premia out-of- sample. Whoops.
  • 50. 50 What are factors anyway? Swedroe and Berkin’s framework for sustainability: • Persistent over time • Pervasive across geographies • Investable • Intuitive We’d add: • Simple
  • 52. 52 What are factors anyway? “If it was easy, everybody would do it.”
  • 53. 53 What are factors anyway? Often the method is easy… Sticking with it is hard.
  • 54. 54 What are factors anyway? Momentum (Log Scale) Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results. 1 10 100 1000 7/1/26 6/1/28 5/1/30 4/1/32 3/1/34 2/1/36 1/1/38 12/1/39 11/1/41 10/1/43 9/1/45 8/1/47 7/1/49 6/1/51 5/1/53 4/1/55 3/1/57 2/1/59 1/1/61 12/1/62 11/1/64 10/1/66 9/1/68 8/1/70 7/1/72 6/1/74 5/1/76 4/1/78 3/1/80 2/1/82 1/1/84 12/1/85 11/1/87 10/1/89 9/1/91 8/1/93 7/1/95 6/1/97 5/1/99 4/1/01 3/1/03 2/1/05 1/1/07 12/1/08 11/1/10 10/1/12 9/1/14 8/1/16
  • 55. 55 What are factors anyway? Momentum (Linear Scale) Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results. 0 100 200 300 400 500 600 700 800 900 7/1/26 5/1/28 3/1/30 1/1/32 11/1/33 9/1/35 7/1/37 5/1/39 3/1/41 1/1/43 11/1/44 9/1/46 7/1/48 5/1/50 3/1/52 1/1/54 11/1/55 9/1/57 7/1/59 5/1/61 3/1/63 1/1/65 11/1/66 9/1/68 7/1/70 5/1/72 3/1/74 1/1/76 11/1/77 9/1/79 7/1/81 5/1/83 3/1/85 1/1/87 11/1/88 9/1/90 7/1/92 5/1/94 3/1/96 1/1/98 11/1/99 9/1/01 7/1/03 5/1/05 3/1/07 1/1/09 11/1/10 9/1/12 7/1/14 5/1/16 Collecting pennies… Steamroller
  • 56. 56 What are factors anyway? Momentum (“Adjusted” for pain from losses being 2x pleasure from gains) Source: AQR; Calculations by Newfound Research. Past performance is no guarantee of future results.
  • 57. 57 What are factors anyway? In fact, for a factor to work, we’d posit it has to be hard to stick with? Why?
  • 58. 58 What are factors anyway? Arithmetic of Active Management • Weighted average return of market participant performance is the market return. • Therefore, out-performance is a “zero sum” game.
  • 59. 59 What are factors anyway? Let’s assume the factor returns are easy to harvest… • The approach is viewed as “free money” • More people will adopt the approach • Money inflows will drive up prices and valuations • Increased valuations will drive down forward expected returns • Out-performance opportunity converges towards zero
  • 60. 60 What are factors anyway? With factors… Weak hands “fold” and pass the alpha to the strong hands with the fortitude to “hold.”
  • 61. 61 What are factors anyway? High returns attract investors Short-term self-fulfilling cycle of further out- performance. High valuations cause return expectations to turn negative Negative returns lead to out-flows Out-flows cause a short- term self-fulfilling cycle of further out-flows Excess out-flows cause return premiums to turn positive
  • 62. 62 What are factors anyway? Bad News By this logic, no disciplined investment approach (e.g. factors) can outperform all the time. To work in the long-run, there has to be pain in the short-run.
  • 63. 63 What are factors anyway? Good News By the same logic, no disciplined investment approach can underperform all the time either. (If an approach always underperforms, we can invert to create an outperforming strategy, which we just said can’t exist.)
  • 65. Implementation details to deal with… 1. How do we actually define the factor? 2. Going from self-financing long/shorts to long-only portfolios 65 What are factors anyway?
  • 66. Consider the value factor. Some common ways to define “value”: • Price-to-book • Price-to-earnings • Price-to-sales 66 What are factors anyway? Price-to- Book Price-to- Earnings Price-to- Sales Market Ann. Return 13.9% 15.3% 14.4% 10.8% Ann. Volatility 16.0% 15.6% 14.9% 14.9% Sharpe Ratio 0.60 0.70 0.67 0.43 Source: Data from Kenneth French Data Library; Calculations by Newfound Research.
  • 67. In the long run, they have all worked. In the short run, your mileage may vary. 67 What are factors anyway? Source: Data from Kenneth French Data Library; Calculations by Newfound Research.
  • 68. Where are we spending our active risk? Security level? Sector level? Some Low-Volatility implementations • The PowerShares S&P 500 Low Volatility ETF (SPLV) • The SPDR SSGA US Large Cap Low Volatility ETF (LGLV) • The iShares Edge MSCI Min Vol USA ETF (USMV) 68 What are factors anyway?
  • 69. Some Low-Volatility Implementations • The PowerShares S&P 500 Low Volatility ETF (SPLV) • The SPDR SSGA US Large Cap Low Volatility ETF (LGLV) • The iShares Edge MSCI Min Vol USA ETF (USMV) Method • Rank S&P 500 stocks based on trailing 12-month realized volatility • Pick top 100 with lowest realized volatility • Weight based on inverse proportion to realized 12-month volatility 69 What are factors anyway?
  • 70. Some Low-Volatility Implementations • The PowerShares S&P 500 Low Volatility ETF (SPLV) • The SPDR SSGA US Large Cap Low Volatility ETF (LGLV) • The iShares Edge MSCI Min Vol USA ETF (USMV) Method • Assign stocks from the Russell 1000 to their respective 10 sectors • Rank stocks within their sector based on trailing 60-month realized volatility • For each sector, pick the lowest volatility stocks until total free float market cap reaches 30% of the sector total • Weight each stock in proportion to its inverse realized 60-month variance (i.e., 1 / volatility squared), constrained to the lesser of 5% or 20x the index weight. 70 What are factors anyway?
  • 71. Some Low-Volatility Implementations • The PowerShares S&P 500 Low Volatility ETF (SPLV) • The SPDR SSGA US Large Cap Low Volatility ETF (LGLV) • The iShares Edge MSCI Min Vol USA ETF (USMV) Method • Optimization-based • Re-weight holdings in MSCI USA Index to create minimum-volatility portfolio subject to sector and security-level constraints. 71 What are factors anyway?
  • 72. They can’t all be right, can they? • SPLV: The “vanilla” low-volatility approach. • LGLV: Asness, Frazzini, and Pedersen (2014) find evidence to support the approach while De Carvalho, Zakaria, Lu and Moulin (2014) find that sector-neutral, low-volatility approaches may actually be more efficient at harvesting alpha than non-sector neutral approaches. • USMV: De Carvalho, Lu, and Moulin (2012) find that the key factor exposures in a minimum variance portfolio is low beta and low residual volatility stocks. So despite a more opaque construction methodology, USMV should tap into the same low volatility factor as SPLV and LGLV. 72 What are factors anyway?
  • 73. Finally, let’s talk about these long/short portfolios again… Academically they are nice to work with. Practically, they can cause problems in creating “long-only” factor-tilted portfolios. 73 What are factors anyway?
  • 74. What are factors anyway? Simple Example 74 Weight A 30% B 70% Weight A -100% B 100% Weight A -70% B 170% + = Market Portfolio “Dollar-Neutral” Long/Short Portfolio with shorting and leverage
  • 75. The problem with going long-only: the short side can be constrained by how much you can reduce a position to zero. Why does it matter? • Which side of the factor creates the most value: the long or short side? • Are there important interaction effects between the long and short sides? 75 What are factors anyway?
  • 76. What are factors anyway? Example: Hypothetical “size” factor example: • Short the top 20% of S&P 500 • Long the bottom 20% of S&P 500 • Positions are market-cap weighted • Sides are held dollar-neutral 76 Source: State Street; Invesco; Calculations by Newfound Research; Implied long/short portfolio calculated on 3/17/2017. -7% -6% -5% -4% -3% -2% -1% 0% 1% 2% Implied L/S Weight
  • 77. What are factors anyway? But when we try to “overlay” this long/short on the S&P 500, we hit a problem: • AAPL wants to be -5.66% of short leg • AAPL is only 3.66% of the S&P 500. In long-only implementation, we can only get 64% of the long/short factor applied. 77
  • 78. What are factors anyway? What if instead of doing an overlay, we buy just the long leg? Creates leg sizing mismatch: • 100% exposure to the long leg • Still only 64% of the short leg 78
  • 79. What are factors anyway? Worse, a “buy the long leg” implementation for more dynamic factors can create unintentional timing of short-leg exposure. 79
  • 80. What are factors anyway? Extreme example: 80 Desired Long/Short Exposure Implemented Long-Only Exposure Implied Exposure Long-Leg Short-Leg T=0 Long Small-Cap / Short Large-Cap Bottom 20% 100% 64% T=1 Long Large-Cap / Short Small-Cap Top 20% 100% 3.5%
  • 81. QUANTITATIVE The devil is in the implementation details…
  • 82. QUANTITATIVE Topic #3 Can we “time” factor exposure?
  • 83. First, what do we mean by “timing”? There are two types: • Relative: “There are better things to be in.” • Absolute: “I just shouldn’t be in this thing.” 83 Can we time factors?
  • 85. Abstract for a paper I co-authored in early 2016 and submitted to the NAAIM Wagner Award competition. When outperformance fixation leads to large inflow temptation: premiums erode, investors unload, enabling factor rotation! (We didn’t win.) 85 Can we time factors?
  • 86. Rotation Type #1: “Switching” Idea: Factors go through cycles; can we switch between the “good” and “bad” side of factors to time them? 86 Can we time factors? Positive Side Negative Side Value Cheap Expensive Size Small Large Quality High Low Momentum Winners Losers Beta Low Volatility High Beta
  • 87. Rotation Type #1: “Switching” Results using a momentum-based approach? Generally poor. 87 Can we time factors? Source: Data from Kenneth French Data Library; Calculations by Newfound Research.
  • 88. Rotation Type #2: “Relative” Idea: The positive sides go through outperformance at different periods. Can we tilt towards those showing recent outperformance and away from those showing underperformance? 88 Can we time factors?
  • 89. Rotation Type #2: “Relative” Results using a momentum-based rotation approach? It works. (But is it worth the headache?) 89 Can we time factors? Source: Data from Kenneth French Data Library; Calculations by Newfound Research.
  • 91. February 2016 – How Can ”Smart Beta” Go Horribly Wrong? • Some factor returns (e.g. low volatility) are overstated due to long- term, un-repeatable valuation multiple expansion. • Current valuations vs. historic levels for some factors are over- extended, portending lower future returns if not an outright “factor crash.” Caveat emptor! 91 Can we time factors? Rob Arnott Research Affiliates
  • 92. April 2016 – The Siren Song of Factor Timing • Using value-spreads to time factors is not particularly useful. • Which value measure you use completely changes your answer. • No matter the measure, value spreads are within “normal” levels – not like we saw in the dot-com bubble for the value factor. • Resist the urge to time factors! Note: This is all very ironic because it was Asness who in 2000 introduced the very idea of using value spreads to time the value factor. 92 Can we time factors? Cliff Asness AQR
  • 93. June 2016 – To Win with “Smart Beta” Ask If the Price Is Right • Relative valuation does a good job of predicting subsequent 5- year performance for U.S. equity factors. • Tested “out-of-sample” against international factors. “In Developed ex US and emerging markets, across most horizons, relative valuations and future returns have overwhelmingly negative relationships.” 93 Can we time factors? Rob Arnott Research Affiliates
  • 94. June 2016 – My Factor Philippic • Directionally agrees on which factors are expensive and which are cheap, but nowhere near as extreme as Arnott. • Arnott’s method of regression overstates the use of value-spread timing, particularly for high-turnover factors. • Having a crystal ball and knowing that valuations contract for small-cap stocks over the next five years is meaningful because the small-cap universe remains fairly static. • Using that same crystal ball to see that valuations will contract for a momentum strategy over the next five years is less meaningful because the securities held could be 100% different. Is the contraction due to value changes or just different holdings? 94 Can we time factors? Cliff Asness AQR
  • 95. June 2016 – My Factor Philippic (Cont.) • Significant disagreement as to whether long-term factor returns are real or based on valuation-spread changes. Arnott forgets to account for “frictions” in his analysis! • Portfolio turnover • Changes in fundamentals (but not price) 95 Can we time factors? Cliff Asness AQR
  • 96. September 2016 – Timing “Smart Beta” Strategies? Of Course! Buy Low, Sell High! • Factor timing based on value works! (But should be done sparingly, as it might increase concentration risk.) • Anecdotal evidence of “performance chasing” seen in asset owners is a form of market timing. • Based on returns alone, performance chasing smart beta is a drag; contrarian timing a boon. • Buying the cheapest factors outperforms a diversified, equal- weight factor portfolio. • Using a valuation-based approach to timing does not double down on the value factor, since valuations are measured for each factor relative to past valuations. 96 Can we time factors? Rob Arnott Research Affiliates
  • 97. March 2017 – Contrarian Factor Timing is Deceptively Difficult • “In multiple online white papers, Arnott and co-authors present evidence in support of contrarian factor timing based on a plethora of mostly inapplicable, exaggerated, and poorly designed tests that also flout research norms.” • That said, value-spreads at extreme levels (think value 1999- 2000) should be an eyebrow raiser. • But we agree on performance chasing problems with factors. Chasing strong results is a recipe for disaster. • That said, “mild positive power” does not make a good timing strategy. • You’re still better off just diversifying. 97 Can we time factors? Cliff Asness AQR
  • 99. Turns out, we can’t even agree on how to diversify factors. 99 Diversifying factors
  • 101. Approach #1: Composite • Also known as “portfolio blend.” • Give factor scores to each security. • Build individual portfolios for each factor (e.g. choose securities with top scores for that factor). • Blend portfolios together as sleeves. 101 Diversifying factors
  • 102. 102 Diversifying factors Source: Ghayur, Heaney, and Platt (2016)
  • 104. Approach #2: Integrated • Also known as “signal blend.” • Give factor scores to each security. • Blend factor scores together to create a single composite score. • Create factor portfolio using composite score (e.g. choose securities with top composite score). 104 Diversifying factors
  • 105. 105 Diversifying factors Source: Ghayur, Heaney, and Platt (2016)
  • 107. 107 Diversifying factors Area 1: In both Area 2: In integrated but not in composite Area 3: In composite but not in integrated Source: Ghayur, Heaney, and Platt (2016)
  • 108. General Arguments for Composite • Composite approach is more transparent. • Factor research has been on single factors without enough evidence about potential interaction effects. • Factor alphas decay at different horizons so composite signal will be driven by highest turnover factor. 108 Diversifying factors
  • 109. General Arguments for Integrated • Composite portfolios can create inefficient canceling out effects in Area 3. • Integrated approaches can introduce implicit leverage, allowing you to use the same dollar to invest in multiple factors simultaneously. 109 Diversifying factors
  • 111. Are integrated portfolios actually more capital efficient? Analytical research performed by Newfound1: • Assume securities have assigned z-scores for each factor. • Build composite portfolio by equal-weighting top X% of securities for each factor based on z-score. • Build integrated portfolio by summing z-scores and equal- weighting the top X% of securities based on composite z-score. • “Capital efficiency” is measured as expected aggregate portfolio z-score per factor. 111 Diversifying factors 1. See https://blog.thinknewfound.com/2016/10/capital-efficiency-multi-factor-portfolios/
  • 112. Result? Under this setup, integrated portfolios are always just as – if not significantly more – capital efficient than composite portfolios. 112 Diversifying factors 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1 2 3 4 5 ExpectedZ-ScoreperFactor # of Factors Expected Z-Score per Factor with Varying # Factors (Choosing Top 25%) Integrated Composite Source: Newfound Research
  • 113. Result? Under this setup, integrated portfolios are always just as – if not significantly more – capital efficient than composite portfolios. 113 Diversifying factors 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 ExpectedZ-ScoreperFactor Correlation Between Factor Z-Scores Expected Z-Score per Factor with Varying Correlation: (2 Factors; Choosing Top 25%) Integrated Composite Source: Newfound Research
  • 115. Diversifying factors Research from AQR (Fitzgibbons, Friedman, Pomorski, and Serban (2016)) • Theoretical: Simulation-based; momentum and value; assume equal style efficacy ; equal-weight holdings; match # of stocks held by each approach • Empirical: MSCI World; 1993-2015; value and momentum; constraints: 80% of active risk budget spent in industry and 20% across industries. 115
  • 116. Diversifying factors Theoretical Results (Assuming Tracking Error of 2.5%) 116 Source: Fitzgibbons, Friedman, Pomorski, and Serban (2016)
  • 117. Diversifying factors Empirical Results (Assuming Tracking Error of 4%) 117 Source: Fitzgibbons, Friedman, Pomorski, and Serban (2016) As predicted, Area 3 stocks Exhibit less alpha than Areas 1 & 2
  • 119. Empirical research from the ActiveBeta team at Goldman Sachs Asset Management: • Test U.S. equity portfolios built from momentum and value factors from 1979-2016. • Focus on factor-equivalent portfolios (i.e. composite and integrated portfolios with the same overall factor exposure). • Two tests: “low concentration” and “high concentration” exposure. 119 Diversifying factors
  • 120. 120 Diversifying factors Source: Ghayur, Heaney, and Platt (2016) Low Concentration Test Results Annualized Active Returns for Value/Momentum Quadrants This is almost the exact opposite result that integrated proponents claim should happen. Interaction effects in areas of offsetting exposures may actually be beneficial…
  • 121. 121 Diversifying factors Source: Ghayur, Heaney, and Platt (2016) High Concentration Test Results Still positive interactive effects in Area 3 … but too much idiosyncratic risk taken on in Area 1 for the composite approach.
  • 123. Integrated portfolios should be more “capital efficient” than composite approaches. 123 Diversifying factors
  • 124. Empirical evidence supporting the theoretical arguments about “canceling out” effects are mixed. 124 Diversifying factors
  • 125. At low-to-moderate target factor exposures, a composite approach can offer a higher information ratio due to beneficial interaction effects. 125 Diversifying factors
  • 126. At higher target factor exposures, composite approaches require too much idiosyncratic risk. 126 Diversifying factors
  • 127. QUANTITATIVE This is all to say nothing of the many other impactful portfolio construction decisions…
  • 129. Factors are systematic approaches to investing that seek to harvest excess return arising either from (1) risk, (2) behavioral biases, or (3) market structure inefficiencies. 129 Conclusion
  • 130. We want to look for simple, robust, and pervasive factors approaches. 130 Conclusion
  • 131. Even if they work, they are going to be tough to stick with. (That’s what makes them work!) 131 Conclusion
  • 132. Academic research does not necessarily transfer to practice: implementation details matter. 132 Conclusion
  • 133. The jury is still out on factor timing. 133 Conclusion
  • 134. You’re probably better off just diversifying your factor exposure. 134 Conclusion
  • 135. The jury is still out on how to diversify. (You should probably do it anyway.) 135 Conclusion
  • 138. Web: http://www.thinknewfound.com Research: http://blog.thinknewfound.com Phone: 617-531-9773 Email: info@thinknewfound.com Twitter: @thinknewfound (@choffstein) 138 Contact
  • 139. Certain information contained in this presentation constitutes “forward-looking statements,” which can be identified by the use of forward-looking terminology such as “may,” “will,” “should,” “expect,” “anticipate,” “project,” “estimate,” “intend,” “continue,” or “believe,” or the negatives thereof or other variations or comparable terminology. Due to various risks and uncertainties, actual events or results or the actual performance of an investment managed using any of the investment strategies or styles described in this document may differ materially from those reflected in such forward- looking statements. The information in this presentation is made available on an “as is,” without representation or warranty basis. There can be no assurance that any investment strategy or style will achieve any level of performance, and investment results may vary substantially from year to year or even from month to month. An investor could lose all or substantially all of his or her investment. Both the use of a single adviser and the focus on a single investment strategy could result in the lack of diversification and consequently, higher risk. The information herein is not intended to provide, and should not be relied upon for, accounting, legal or tax advice or investment recommendations. You should consult your investment adviser, tax, legal, accounting or other advisors about the matters discussed herein. These materials represent an assessment of the market environment at specific points in time and are intended neither to be a guarantee of future events nor as a primary basis for investment decisions. Past performance is not indicative of future performance and investments in equity securities do present risk of loss. 139 Disclosures
  • 140. Investors should understand that while performance results may show a general rising trend at times, there is no assurance that any such trends will continue. If such trends are broken, then investors may experience real losses. The information included in this presentation reflects the different assumptions, views and analytical methods of Newfound as of the date of this presentation. This document contains the opinions of the managers and such opinions are subject to change without notice. This document has been distributed for informational purposes only and should not be considered as investment advice or a recommendation of any particular security, strategy or investment product. This document does not reflect the actual performance results of any Newfound investment strategy or index. No part of this document may be reproduced in any form, or referred to in any other publication, without express written permission from Newfound Research. © Newfound Research LLC, 2017. All rights reserved. 140 Disclosures