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Silver lining to a snoozer - INVESTMENT PERSPECTIVES - 361 Capital
INVESTMENT PERSPECTIVES

Silver lining to a snoozer

Nearly halfway through the fourth quarter of the 2019 Super Bowl, the New England               By Analytic Investors
Patriots and Los Angeles Rams were tied 3-3 in a game dominated by defense.
Then, Patriots quarterback Tom Brady connected one last time with tight end Rob
Gronkowsi on a 29-yard pass to the 2-yard line. Running back Sony Michel ran it in for a
touchdown on the next play, and approximately 98 million Americans watching on television
at home abruptly woke up. The Patriots went on to win 13-3 in the lowest-scoring Super
Bowl in history. On the bright side, the Analytic Investors team correctly predicted the
outcome—improving our overall record to a respectable 11-5 (69%) against the spread.

Thanks to a controversial non-call of an obvious pass interference in last year’s NFC
championship game, the 2019 season began with yet another rule change. The NFL
Competition Committee approved the use of instant replay to review pass interference
calls/non-calls for one year only. However, it was not without controversy as a mere
24% (24 out of 101) of such challenges were reversed by the NFL’s instant replay
center in New York. In spite of this, and wide receiver Antonio Brown being released
by both the Oakland Raiders and Patriots in a matter of weeks back in September,
the NFL didn’t miss a beat.

The game remained as popular as ever. Its already-high television ratings increased,
thanks to star quarterbacks both young (Lamar Jackson and Patrick Mahomes) and
old (Drew Brees and Aaron Rodgers). The Cleveland Browns attempted to build on last
year’s resurgence by trading for star wide receiver Odell Beckham Jr. but managed to
underachieve in their typical fashion. The Oakland Raiders made one final run at the playoffs
for their faithful in the Bay Area, but they ultimately fell short and packed their bags for
their shiny new digs in Las Vegas. CBS commentator Tony Romo continued to show an
uncanny ability to predict upcoming plays, earning him and/or his crystal ball a reportedly
record-setting contract offer from ESPN. Finally, the surprising Tennessee Titans upset
the defending champion Patriots in the wild card round of the playoffs, and football fans
outside of New England rejoiced.

                                                                                                              January 2020
The NFL’s centennial season concludes in Miami on              Table 1. Alphas for all 32 NFL teams
Sunday, February 2, 2020, when the San Francisco 49ers
                                                                                               Alpha                     2019 season
face the Kansas City Chiefs in Super Bowl LIV.                                           2019       2018     Alpha             Favorite/
This matchup features two historically successful               Team                    season season       change   Record underdog
franchises that haven’t hoisted the Lombardi Trophy in          Miami Dolphins           70.3%       7.6%    62.7%    5-11       0-16
25 and 50 years, respectively. While football fans in           New Orleans Saints       43.7%      32.9%    10.8%    13-3       11-5
general are happy to see an AFC team other than the             Atlanta Falcons          39.4% -27.0%        66.4%     7-9       5-11
Patriots appearing in this game, it may actually also be a      Baltimore Ravens         39.3%       8.5%    30.8%    14-2       12-4
good sign for our prediction. More on that later.               Green Bay Packers        38.7% -40.8%        79.5%    13-3       12-4
                                                                San Francisco 49ers      37.8% -44.7%        82.5%    13-3       11-5
Alpha explained                                                 Seattle Seahawks         29.4%      12.8%    16.6%    11-5       11-5
                                                                Houston Texans           24.5%      15.2%     9.3%    10-6        7-9
At the core of this annual paper is a computation we            Kansas City Chiefs       24.1%      18.0%     6.1%    12-4       13-3
developed way back when Tom Brady and Bill Belichick            Buffalo Bills            19.1%      48.8%   -29.7%    10-6        7-9
only had one Super Bowl ring to their names. We think           Tennessee Titans         17.5%      36.9%   -19.4%     9-7       10-6
of it as the merging of football and our quantitative           Oakland Raiders          11.3% -26.4%        37.7%     7-9       4-12
                                                                Denver Broncos            6.0%     -21.4%    27.4%     7-9       5-11
approach to investment management, called “NFL alpha.”
                                                                New York Jets             4.2%     -35.9%    40.1%     7-9       5-11
This version of alpha is the cumulative return on
                                                                Tampa Bay Buccaneers      3.6%     -16.4%    20.0%     7-9        7-9
investment (ROI) for all 32 NFL teams’ performances
                                                                Indianapolis Colts       -0.1%      14.6%   -14.7%     7-9        8-8
relative to wagering market expectations for all regular
                                                                Pittsburgh Steelers      -0.3%       8.0%    -8.3%     8-8        9-7
season games.                                                   Minnesota Vikings        -1.9% -13.0%        11.1%    10-6       11-5
                                                                New England Patriots     -3.7%      -5.5%     1.8%    12-4       16-0
To illustrate, let’s assume a $100 “money line” wager
                                                                Philadelphia Eagles      -4.5%      27.9%   -32.5%     9-7        9-7
on the Green Bay Packers to win before each of their
                                                                Arizona Cardinals        -6.6% -25.9%        19.2%   5-10-1      1-15
16 games. If the Packers win in a given week, one would
                                                                Los Angeles Rams         -9.5%       9.7%   -19.2%     9-7       13-3
collect the $100 wager plus an additional amount that’s         Jacksonville Jaguars    -11.7% -34.8%        23.1%    6-10       4-12
a function of their win probability, as implied by the          Chicago Bears           -15.7% 30.1%        -45.8%     8-8       11-5
wagering odds that week. Should they lose, one would            Dallas Cowboys          -26.9% 46.8%        -73.7%     8-8       14-2
lose the $100. Once the season concludes, we then add up        Cleveland Browns        -31.5%       0.5%   -32.0%    6-10       11-5
the winnings and compare that number with the $1,600            Carolina Panthers       -35.0% -4.6%        -30.4%    5-11       6-10
total amount wagered during the season ($100 per game           Los Angeles Chargers    -40.5% 24.6%        -65.1%    5-11       10-6
for 16 games). Any amount above $1,600 would imply              Washington Redskins     -41.8%       6.5%   -48.3%    3-13       2-14
a positive NFL alpha, and anything less would indicate a        New York Giants         -49.3% -27.3%       -22.0%    4-12       5-11
negative one. In this case, one would have tallied just over    Detroit Lions           -54.7% -6.0%        -48.7%   3-12-1      3-13
$2,218 due to the Packers alpha of 38.7%—fifth-best in          Cincinnati Bengals      -69.6% -29.0%       -40.6%    2-14       3-13
the NFL and a whopping 79.4% improvement over 2018             Source: Analytic Investors
(see Table 1 on right). Could this be attributed to the
Packers’ new head coach, Matt LaFleur? We’ll leave that to
the sports analytics community to debate.
                                                               The Dolphins traded away a number of star players at the
Can one game affect alpha?                                     beginning of the season in hopes of ending up with the #1
                                                               pick in next year’s draft. Some experts coined this strategy
The process of writing this paper begins with an annual        “Tank for Tua”—a perceived effort to lose every game in
rite of passage: a number of Analytic team members             order to take star Alabama quarterback Tua Tagovailoa.
submit their guesses on which teams will be at the top         But as typical with the NFL, nothing ever seems to go
and bottom of our NFL alpha results. While the lowest-         as predicted. Tagovailoa suffered a season-ending
ranked team wasn’t much of a surprise, the top-ranked          hip injury, and the rag-tag Dolphins decided to rally
one was. The Miami Dolphins finished with a whopping           behind rookie coach Brian Flores. After starting 0-7, the
70.3% alpha, the highest for a team since 2009. As the         team upset the New York Jets, Indianapolis Colts, and
underdog in all 16 of their games, the Dolphins were given     Philadelphia Eagles to end up in slightly positive alpha
plenty of opportunity to outperform expectations.              territory. But the best was yet to come.

                                                                                                                                       2
In week 17, Miami went into Gillette Stadium to face the                     Let’s examine two more cases in which one game had a
17-point-favorite Patriots, who needed a win to secure                       meaningful impact on teams’ alphas. The Atlanta Falcons
a bye in the first round of the playoffs. Should be a no-                    started the season 1-7, and rumors were flying that
brainer, right? Not for the resilient Dolphins. Journeyman                   head coach Dan Quinn was on the verge of being fired.
quarterback Ryan Fitzpatrick threw a touchdown pass                          After their bye week, the team had a tall task: going into
to Mike Gesicki with 24 seconds left in the game to give                     New Orleans to face the heavily favored 7-1 Saints.
Miami a 27-24 victory, resulting in a massive surge in                       In typical any-given-Sunday fashion, the Falcons upset
alpha (see Chart 1, below) and very likely contributing to                   the Saints 28-9, and their alpha jumped from -73.3% to
New England’s early playoff exit the following week.                         6.6% (see Chart 2, below). Then they upset the 49ers 29-
                                                                             22 in week 14 on the way to recording the third-highest
On the flip side, there are always the perennial alpha                       alpha of the season—39.4%—and managed to save
flatliners. This year, it was the Cincinnati Bengals.                        Quinn’s job in the process.
They lost star wide receiver A.J. Green to a fluke ankle
injury in a July training camp practice, and it was all                      The Los Angeles (NOT San Diego) Chargers had a similar
downhill from there. The team started the season 0-11                        turning point in their season. After defeating the
before upsetting the Jets (notice a trend?) and Browns,                      Indianapolis Colts in week 1, the Chargers appeared to
locking in a -69.6% alpha (see Chart 1, below) and the                       be the same playoff-caliber team they were last year.
top pick in the 2020 draft. We’d like to add more color                      But it didn’t last. They went into Detroit and lost 13-10 to
here, but this was simply a bad football team. Take heart,                   the hapless Lions, causing their +45.2% alpha to plummet
Bengals fans. Having the worst alpha means that your                         to -27.4% (see Chart 2, below). The team stayed in
team will have the chance to draft your next franchise                       negative alpha territory the rest of the season, thanks
quarterback: Heisman Trophy and national championship                        partly to the declining play of quarterback Philip Rivers.
winner Joe Burrow of LSU.                                                    As the team prepared to move into the new Sofi Stadium
                                                                             with their cross-town rival Rams in 2020, rumors surfaced
Chart 1. Cumulative alphas: Miami Dolphins and                               that the NFL may be realizing the error of its ways in
Cincinnati Bengals                                                           relocating the Chargers from San Diego and would
            80                                                               even consider moving the team to London in the future.
                                                                             No word yet on whether we’ll eventually be calculating
            60
                                                                             alphas in pound sterling, but stay tuned.
            40

            20
                                                                             Chart 2. Cumulative alphas: Atlanta Falcons and
                                                                             Los Angeles Chargers
            0
                                                                                         60
Alpha (%)

            -20

            -40                                                                          40

            -60                                                                          20
            -80
                                                                                         0
            -100
                                                                             Alpha (%)

                                                                                         -20
            -120
                   1   2   3   4   5   6    7   8   9 10 11 12 13 14 15 16               -40
                           Miami Dolphins           Cincinnati Bengals
                                                                                         -60
Source: Analytic Investors
                                                                                         -80

                                                                                         -100
                                                                                                1   2    3   4   5   6    7   8    9 10 11 12 13 14 15 16
                                                                                                        Atlanta Falcons           Los Angeles Chargers

                                                                             Source: Analytic Investors

                                                                                                                                                         3
The “lottery ticket”                                                                                  Postseason struggles
Since 2004, the Analytic team has been managing low-                                                  The bulk of this paper has focused on the regular season.
volatility equity assets based on our published research,                                             Now it’s time to focus on the playoffs and our predictions.
which demonstrates that low-risk equities tend to                                                     When we first published this paper back in 2004, it was
outperform higher-risk ones over time. As we’ve also                                                  based on our finding that teams who outperformed
outlined previously, there’s a similar trend in the world of                                          expectations in one NFL season tended to underperform
football wagers. Specifically, bets placed on large favorites                                         in the following season, and vice versa. We found this
with lower payouts (in other words, less risky) typically                                             same relationship also exists between the regular season
outperform bets placed on heavy underdogs that pay out                                                and the postseason. As a result of this football form
significantly more—often referred to as lottery tickets.                                              of mean reversion, the team with the lower alpha is
In 2018, these higher-risk wagers outperformed lower-                                                 typically undervalued when compared with its higher-
risk ones for the first time since the 2015 season.                                                   alpha opponent.

This trend, albeit not as pronounced, continued in 2019.                                              In the current postseason, this approach has resulted in a
Low-risk wagers returned -0.7% while higher-risk,                                                     4-6 record, breaking our streak of 15 consecutive years
longshot bets returned 4.8% (see Chart 3, below)—an                                                   with at least a 50% postseason success rate. Two of the
outperformance of 5.4% and consistent with the stories of                                             losses were by a mere half point: The Buffalo Bills blew a
the Dolphins and Falcons outlined above. A similar pattern                                            16-point lead to the Houston Texans and lost on a field
occurred in the markets in 2019 as high-beta equities                                                 goal in overtime, and the Seattle Seahawks failed to
generally outperformed their low-beta counterparts.                                                   convert on a late 2-point conversion attempt in a loss to
                                                                                                      the Packers (see Table 2, below). Oh, that dreaded “hook!”
Chart 3. Low-volatility analysis 2019 season
                       10                                                                             Despite the above, our historical average now stands at a
                                                                                                      respectable 59%.
money line wager (%)

                       5
 Average return to

                                          6.1%           3.0%
                                                                                       4.8%
                       0
                               -0.7%
                       -5

                       -10
                                                                     -12.9%
                       -15
                              -11 and   -4.5 to   -4 to +4/ +4.5 to +10.5/  +11 and
                             above/low -10.5/fair average        moderate  above/high
                                                   Line/volatility

Source: Analytic Investors

Table 2. Postseason analysis (4-6 record)
                                                                Lower-alpha team
     Higher-alpha team                           Alpha          (Analytic’s pick)             Alpha          Favorite          Result                  Win
     Houston Texans                              24.5%          Buffalo Bills                 19.1%          Texans by 2.5     Texans 22-19
     Tennessee Titans                            17.5%          New England Patriots          -3.7%          Patriots by 4.5   Titans 20-13
     New Orleans Saints                          43.7%          Minnesota Vikings             -1.9%          Saints by 7.5     Vikings 26-20
     Seattle Seahawks                            29.4%          Philadelphia Eagles           -4.5%          Eagles by 1       Seahawks 17-9
     San Francisco 49ers                         37.8%          Minnesota Vikings             -1.9%          49ers by 7        49ers 27-10
     Baltimore Ravens                            39.3%          Tennessee Titans              17.5%          Ravens by 10      Titans 28-12
     Houston Texans                              24.5%          Kansas City Chiefs            24.1%          Chiefs by 10      Chiefs 51-31
     Green Bay Packers                           38.7%          Seattle Seahawks              29.4%          Packers by 4.5    Packers 28-23
     Kansas City Chiefs                          24.1%          Tennessee Titans              17.5%          Chiefs by 7       Chiefs 35-24
     Green Bay Packers                           38.7%          San Francisco 49ers           37.8%          49ers by 8        49ers 37-20

Source: Analytic Investors
                                                                                                                                                                  4
A second predictive approach: Computer-reading            Super Bowl LIV
between the lines
                                                          Unlike last year’s game, which had two single-digit alpha
As if one predictive approach weren’t enough, in 2019     teams, Super Bowl LIV pits two teams in the top 10: the
we debuted a second one that’s based on machine           sixth-ranked San Francisco 49ers (37.8%) against the ninth-
learning (ML). Even though last year’s ML prediction      ranked Kansas City Chiefs (24.1%) (Table 3 on page 6).
incorrectly picked the Rams to win, we wanted to          The 49ers also had the highest change in alpha from 2018,
give this approach another chance. So, we’re again        at 82.6%. This is primarily because the 49ers had a league-
supplementing our traditional alpha model pick with       worst -44.7% alpha last year, thanks largely to quarterback
a Super Bowl prediction courtesy of the machines.         Jimmy Garoppolo’s season-ending knee injury during a
Readers may recall that our previous ML pick              week 3 loss to—you guessed it—the Chiefs.
relied upon feature mining and gradient descent.
Particularly astute readers may recall that the pick      This year’s game features two evenly matched teams: the
proved to be incorrect, in spite of encouraging           Chiefs’ high-flying offense led by superstar quarterback
historical performance (55% accuracy).                    Mahomes going up against a stout 49ers defense anchored
                                                          by rookie pass rusher Nick Bosa. It also features two
This year we took a turn from straight statistical ML     offensive-guru head coaches with something to prove:
and explored the value of natural language processing.    young Kyle Shanahan, who was offensive coordinator of
What could we glean from the words of sportsbook          the Falcons during their epic collapse to the Patriots in the
“sharps” themselves? To accomplish this, we collected     2017 Super Bowl, and veteran Andy Reid, who’s seeking
text from a group of professional handicappers that       his first title in 21 seasons. The game is also reminiscent
explains the rationale behind their picks. For each       of a previous Super Bowl, when the 49ers faced a young
team in each matchup, we took all sentences               star quarterback in his second season as a starter. That was
justifying that particular pick and fed them into         Super Bowl XIX in 1985, and they defeated Dan Marino’s
a deep, bidirectional linguistic neural network.          Dolphins 38-16. Could history repeat itself 35 years later?
These are a family of language models that have a
powerful understanding of syntax and semantics.           Our pick is the lower-alpha Chiefs to win the game by more
They exhibit superhuman performance on tasks              than one point. Considering that our model has correctly
ranging from document summarization to                    predicted seven of the eight Super Bowls (88%) that have
prepositional logic—and they’re widely assumed to         not involved the Patriots (dating back to 2004), we remain
automatically generate the words spoken by the            cautiously optimistic about this selection. And speaking of
Joe Buck robot in the Fox booth. In our case, these       the Pats: This model does not have a prediction on what
cutting-edge tools simply allowed us to quantitatively    team Brady will be quarterbacking in 2020.
measure the pairwise similarities of all arguments in
favor of a particular pick.

Having created this distance matrix, we extracted
the maximum eigenvalue—roughly, the magnitude
of importance of the dominant argument being made
in this collection of sentences—and compared it with
the theoretical limit for this value. We interpreted
this distance as the overall conviction held by the set
of handicappers regarding the critical feature of the
matchup that leads to the pick. Then, we picked the
team having the more relatively dominant argument,
conversely going against the team whose advantages
weren’t widely apparent to our set of professional
handicappers.

This approach yielded strong performance in these
playoffs, with a 75% hit rate. For the Super Bowl,
it favors the 49ers by 1 point. We’re assuming this
machine pick is free of bias in spite of the fact that
our hardware is from the Silicon Valley.
                                                                                                                    5
Table 3. Super Bowl results
                                                            Lower alpha team
 Super Bowl   Date           Higher alpha team              (Analytic’s pick)              Favorite           Result                Prediction correct
 XXXVIII      2/1/2004       New England Patriots (67.0%)   Carolina Panthers (39.0%)      Patriots by 7      Patriots 32-29*
 XXXIX        2/6/2005       New England Patriots (33.5%)   Philadelphia Eagles (12.6%)    Patriots by 7      Patriots 24-21*
 XL           2/5/2006       Seattle Seahawks (25.0%)       Pittsburgh Steelers (11.4%)    Steelers by 4      Steelers 21-10
 XLI          2/4/2007       Chicago Bears (17.8%)          Indianapolis Colts (14.5%)     Colts by 6.5       Colts 29-17
 XLII         2/3/2008       New England Patriots (22.9%)   New York Giants (14.6%)        Patriots by 12.5   Giants 17-14
 XLIII        2/1/2009       Pittsburgh Steelers (33.6%)    Arizona Cardinals (-6.4%)      Steelers by 6.5    Steelers 27-23*
 XLIV         2/7/2010       Indianapolis Colts (37.6%)     New Orleans Saints (12.8%)     Colts by 4.5       Saints 31-17
 XLV          2/6/2011       Pittsburgh Steelers (28.6%)    Green Bay Packers (1.3%)       Packers by 3       Packers 31-25
 XLVI         2/5/2012       New York Giants (32.8%)        New England Patriots (15.8%)   Patriots by 3      Giants 21-17
 XLVII        2/3/2013       San Francisco 49ers (23.1%)    Baltimore Ravens (2.2%)        49ers by 4.5       Ravens 34-31
 XLVIII       2/2/2014       Seattle Seahawks (13.7%)       Denver Broncos (4.6%)          Broncos by 2       Seahawks 43-8
 XLIX         2/1/2015       New England Patriots (28.2%)   Seattle Seahawks (9.9%)        Patriots by 1.5    Patriots 28-24
 50           2/7/2016       Carolina Panthers (61.5%)      Denver Broncos (31.9%)         Panthers by 4      Broncos 24-10
 LI           2/5/2017       New England Patriots (40.5%)   Atlanta Falcons (29.2%)        Patriots by 3      Patriots 34-28
 LII          2/4/2018       Philadelphia Eagles (31.8%)    New England Patriots (12.4%)   Patriots by 4      Eagles 41-33
 LIII         2/3/2019       Los Angeles Rams (9.7%)        New England Patriots (-5.5%)   Patriots by 2      Patriots 13-3
 LIV          2/2/2020       San Francisco 49ers (37.8%)    Kansas City Chiefs (24.1%)     Chiefs by 1        ?                             ?

*While in these games lower-alpha teams did lose to higher-alpha teams, the predictions are correct because the lower-alpha teams covered their
  respective point spreads.
Source: Analytic Investors

                                                                                                                                                         6
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