QuanterLab produced this study: it wasn’t written up afterwards. Registered hypothesis and search record in Appendix A2.
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The Frog in the Pan Says Keep the Steady Climbers. In the S&P 500, It Works the Other Way Around

How this study was run: the companies, the method, the dates
Universe · S&P 500 (point-in-time constituents)
Method · Comparative: The big jumpers vs All of last year's winners
Manipulated variable ·
The one difference between the arms is which part of the same pool they hold. Arm B holds all of it, plain 12-1 momentum. Arm A holds its jumpier half. 12-1 momentum is the return over the past year leaving out the latest month (twelve months back to one month back), read at each re-selection from t… (full registered statement)The one difference between the arms is which part of the same pool they hold. Arm B holds all of it, plain 12-1 momentum. Arm A holds its jumpier half. 12-1 momentum is the return over the past year leaving out the latest month (twelve months back to one month back), read at each re-selection from the closes up to that day. Both arms use the same Smooth Climb Pick on the same pool: last year's top 10% performers in the S&P 500 by 12-1 momentum, the classic momentum portfolio. For the halves the card reads how each stock in the pool made its gain, from daily closes: the share of days it went up minus the share it went down, from -1 to 1. The steadier half is the higher readings, stocks that rose a little on most days; the jumpier half is the lower readings, stocks that rose on a few big days. The two halves are equal in size and never overlap. The top 10% and its steadier half is Alpha Architect's method. Both arms hold the S&P 500's members as they stood at each date (names with no reliable price history are left out by the engine), at equal weight, chosen at the first close of each year and again every quarter, trade at the next close, and run a year from each first of January. Nothing is fitted: every setting is fixed before the walk, the same in every window. Returns include dividends; every trade pays 0.1% of the traded value, from the same Transaction Cost card in both arms; the forward tests print SPY beside them.
Step size · 1 year per forward window
Out-of-sample span · 2006-01-03 → 2025-12-31
Compiled · October 07, 2026
Search family · the paper's 2 walks (N = 2, every member reported)
Abstract

Momentum investors buy last year's winners. A well-known refinement, the frog in the pan of Da, Gurun and Warachka (2014), also looks at how a winner went up. A stock that climbed a little on most days is said to be a better buy than one that rose in a few big jumps, because news that arrives slowly is noticed late and keeps pushing the price. Alpha Architect's momentum method is built on it.

We tested it in the S&P 500 every quarter from 2006 to 2025. Last year's top 10% performers were split in two by how they rose, the steady climbers and the big jumpers, and each half was held until the next quarter. All of last year's winners together ran beside them, and SPY was the benchmark.

The rule ran backwards. The big jumpers beat the steady climbers in all but five of the twenty years and ended with nearly three times as much money, with or without dividends. None of the three beat simply holding SPY. All three fell about half in the 2008 crash, much further than the index, and never made the ground back. Our price data misses about a third of the index's members in 2006, the companies that later left it, and which half they would have joined is unknown.

What $1 became from January 2006 to December 2025, day by day, on a log scale so equal gains look equal. Dividends included for all four; the three portfolios are chosen again every quarter and pay 0.1% on every trade. All three fell about half in 2008, further than SPY, and none caught up. The big jumpers finished far ahead of the steady climbers.
Figure 1. What $1 became from January 2006 to December 2025, day by day, on a log scale so equal gains look equal. Dividends included for all four; the three portfolios are chosen again every quarter and pay 0.1% on every trade. All three fell about half in 2008, further than SPY, and none caught up. The big jumpers finished far ahead of the steady climbers.

Why this one

A momentum investor owns last year's winners. Some add a second question, about how the winner won. The idea comes from a well-known study by Da, Gurun and Warachka, nicknamed the frog in the pan after the frog that does not notice the water warming. News that arrives a little at a time is noticed late, so a steady climb keeps going. A big jump is news everyone saw, so it is priced at once.

Investors act on this with real money. Alpha Architect's momentum method takes the strongest stocks and then keeps the half that climbed most steadily. The rule was found across the whole US market, small companies included. This paper checks whether it holds in the large companies most people own, after costs, year by year, from 2006 to 2025.

How the split works

Every quarter, the S&P 500's members on that day are ranked by how much they rose over the past year, leaving out the latest month, the usual momentum measure. The top 10% are last year's winners. Holding all of them is plain momentum.

Then each winner gets a smoothness reading from its daily closes over the same year: the share of days it went up minus the share of days it went down. A stock that rose a little on most days reads high. One that made its gain on a few big days, and went down almost as often as up, reads low. The higher half of the winners are the steady climbers, the lower half the big jumpers: two groups of the same size from the same winners, never overlapping. Each group is bought in equal amounts and held until the next quarter, when everything is chosen again.

The chart below shows two of last year's winners at the start of 2025. ONEOK and Meta both rose 62% over the year the rule reads. ONEOK went up on three days in five and never gained 5% in a single day: a steady climber. Meta went up on just over half its days, and one day in February 2024, after its earnings, added a fifth to its price: a big jumper. The frog in the pan keeps ONEOK and drops Meta.

Two of last year's winners at the start of 2025, over the year the rule reads (late December 2023 to late November 2024), each rebased to $1. Both rose 62%. ONEOK (blue) went up on 61% of its days and its best day added under 5%: it sat in the steadiest quarter of the winners. Meta (amber) went up on 54% of its days, and on 2 February 2024 it added 20% in one day: it sat in the jumpiest quarter. The frog in the pan keeps ONEOK and drops Meta.
Figure 2. Two of last year's winners at the start of 2025, over the year the rule reads (late December 2023 to late November 2024), each rebased to $1. Both rose 62%. ONEOK (blue) went up on 61% of its days and its best day added under 5%: it sat in the steadiest quarter of the winners. Meta (amber) went up on 54% of its days, and on 2 February 2024 it added 20% in one day: it sat in the jumpiest quarter. The frog in the pan keeps ONEOK and drops Meta.
1  Methodology, in detail (click to open)

1  Methodology

Universe. The S&P 500 as its members stood on each re-selection day, every member with a price history in our data.

Last year's winners. Each member's gain over the past year leaving out the latest month (12-1 momentum, Jegadeesh and Titman 1993), read from the closes up to the re-selection day. The top 10% of the members by that gain: about 35 stocks in 2006 and 50 from 2020, as the price data fills in.

The split. For each winner, the share of trading days in the same window it went up minus the share it went down, from -1 to 1: the sign-adjusted reverse of the information discreteness of Da, Gurun and Warachka (2014), so a high reading is a steady climb. The winners are ordered by it; the higher half are the steady climbers and the lower half the big jumpers, each the floor of half the winners, so an odd count leaves its middle name out of both. On the platform's Smooth Climb Pick these are Keep: the steadier half and Keep: the jumpier half.

The portfolios. Each group is bought at equal weight at the next close after the re-selection day and held to the next quarterly re-selection. Returns include dividends, SPY's too. Every trade pays 0.1% of its value.

The walk. Twenty one-year windows from the first trading day of 2006 to the end of 2025, every setting fixed before the first window ran. Two comparisons, both reported: the steady climbers against all of last year's winners, and the big jumpers against all of them; all of them is the same portfolio in both. The steady climbers' own walk is the second test in Every test, in numbers, further down. A first walk of the same two comparisons started in 2010; its sixteen years are the last sixteen here, unchanged.

One continuous path. Each yearly test starts in cash and buys at the close of its first trading day, so the tests joined end to end would miss the first trading day of every year, for all four lines. Our figures and tables carry each portfolio through that day with the stocks it held at the close before, and SPY with its own closes, so SPY matches its own record. The race starts at the close of 3 January 2006, when the first portfolios were bought, so SPY's 2006 runs from that close too and sits a little below its calendar-year return. The platform's yearly records further down leave the first trading days out. On that basis the big jumpers also led in 2024, by under a point, and every other year comes out the same.

Without dividends. Table 3's second column takes the dividends out of each portfolio's daily path from the same walk and keeps the trading costs; SPY is its price alone.

2  Results

2.1  Headline

The big jumpers, Sharpe
0.47
day by day, every year the test ran, 2006 to 2025
All of last year's winners, Sharpe
0.38
day by day, every year the test ran, 2006 to 2025
The result
From 2006 to 2025 the big jumpers turned $1 into $5.80 and the steady climbers turned it into $2.04. The big jumpers did better in all but five of the twenty years.
Each year from 2006 to 2025, the big jumpers' return minus the steady climbers', in points. Above the line the big jumpers did better.
Figure 3. Each year from 2006 to 2025, the big jumpers' return minus the steady climbers', in points. Above the line the big jumpers did better.

Table 1. Each year's return, 2006 to 2015: last year's top 10% of the S&P 500 split every quarter into the big jumpers and the steady climbers, all of last year's winners together, and holding SPY. Dividends included for all four; the three portfolios pay 0.1% on every trade.

YearBig jumpersSteady climbersAll winnersHolding SPY
2006+7.8%−1.7%+3.0%+13.8%
2007+20.1%+1.6%+10.3%+5.1%
2008−50.0%−54.9%−52.2%−36.8%
2009+18.5%+17.5%+20.1%+26.4%
2010+15.5%+4.5%+10.8%+15.1%
2011−15.3%−10.4%−12.8%+1.9%
2012+25.9%+16.0%+20.7%+16.0%
2013+42.2%+34.8%+38.0%+32.3%
2014+9.5%+6.5%+7.6%+13.5%
2015+5.5%+3.5%+4.9%+1.3%

Table 2. The same for 2016 to 2025.

YearBig jumpersSteady climbersAll winnersHolding SPY
2016+4.5%+0.8%+2.8%+12.0%
2017+7.1%+25.7%+16.1%+21.7%
2018−7.7%−14.3%−11.0%−4.6%
2019+22.9%+27.6%+25.7%+31.2%
2020+22.2%+13.5%+17.4%+18.4%
2021+28.8%+12.3%+20.5%+28.7%
2022−0.6%−14.5%−7.4%−18.2%
2023+12.9%+16.6%+14.9%+26.2%
2024+27.2%+27.4%+27.6%+24.9%
2025+30.6%+6.1%+18.6%+17.7%

Table 3. What $1 became from 2006 to 2025, with dividends and without them; the three portfolios pay their trading costs either way. Every line is lower without dividends, and the order and the counts of years stay the same.

For each $1With dividendsWithout dividends
Holding SPY$7.80 10.8% a year$5.38 8.8% a year
Big jumpers$5.80 9.2% a year$4.41 7.7% a year
All winners$3.61 6.6% a year$2.79 5.3% a year
Steady climbers$2.04 3.6% a year$1.60 2.4% a year
Big jumpers ahead of steady15 of 20 years15 of 20 years
Big jumpers ahead of SPY10 of 20 years10 of 20 years

Table 4. Growth a year, the worst fall from a high, and the typical size of a year's ups and downs (the standard deviation of daily returns, scaled to a year), all with dividends, on the continuous daily path. The big jumpers swung about as much as the steady climbers and fell less at their worst.

2006 to 2025Growth a yearWorst fallYearly swing
Holding SPY10.8%−55%19%
Big jumpers9.2%−62%25%
All winners6.6%−62%24%
Steady climbers3.6%−67%25%
Sections 2.2 to 4, the full record: every year, every test, and how each one was run (click to open)

The registration names the two groups compared The jumpier half and All of last year's top 10%; this paper calls them The big jumpers and All of last year's winners.

2.2  Per-step results

Table 5. One row per step, raw out-of-sample results. A short window can pair a negative return with a positive annualised Sharpe: at high daily volatility the arithmetic mean of daily returns sits above the compounded window return, and the Sharpe reads the former. Volatility drag, printed rather than smoothed.
#Out-of-sample window The big jumpers SR All of last year's winners SR
1 2006-01-03 → 2006-12-29 0.51 0.26
2 2007-01-03 → 2007-12-31 0.99 0.59
3 2008-01-02 → 2008-12-31 -1.26 -1.24
4 2009-01-02 → 2009-12-31 0.69 0.76
5 2010-01-04 → 2010-12-31 0.58 0.43
6 2011-01-03 → 2011-12-30 -0.39 -0.34
7 2012-01-03 → 2012-12-31 1.45 1.32
8 2013-01-02 → 2013-12-31 1.94 1.92
9 2014-01-02 → 2014-12-31 0.63 0.55
10 2015-01-02 → 2015-12-31 0.39 0.36
11 2016-01-04 → 2016-12-30 0.47 0.39
12 2017-01-03 → 2017-12-29 0.53 1.20
13 2018-01-02 → 2018-12-31 -0.32 -0.46
14 2019-01-02 → 2019-12-31 1.49 1.81
15 2020-01-02 → 2020-12-31 0.69 0.58
16 2021-01-04 → 2021-12-31 1.15 0.97
17 2022-01-03 → 2022-12-30 0.04 -0.18
18 2023-01-03 → 2023-12-29 0.91 1.08
19 2024-01-02 → 2024-12-31 1.39 1.48
20 2025-01-02 → 2025-12-31 1.11 0.83
Out-of-sample equity: normalised growth (1.00x = break even)0.32x0.89x1.46xbars into the window →
Figure 4. The big jumpers: every step's out-of-sample curve overlaid, each rebased to 1× at its own start. Read alongside the per-step table: consistent shape across steps is the walk-forward's evidence; a single lucky leg is not.
Out-of-sample equity: normalised growth (1.00x = break even)0.32x0.90x1.48xbars into the window →
Figure 5. All of last year's winners: the same windows, the other arm. Compare shape-for-shape with the previous figure: the two arms trade the identical out-of-sample windows.

2.2b  Every test, in numbers

Every test this paper registered, two rows each, the paper’s own test first.

WalkWindowsSpanGrowth CAGRWorst drawdownPooled Sharpe
jumpier · The jumpier half (this paper, the one the platform opens) 20 2006-01-03 → 2025-12-31 +436.3% +8.8% -62.2% 0.47
jumpier · All of last year's top 10% (this paper, the one the platform opens) 20 2006-01-03 → 2025-12-31 +245.4% +6.4% -63.0% 0.38
steadier · The steadier half 20 2006-01-03 → 2025-12-31 +101.2% +3.6% -68.1% 0.27
steadier · All of last year's top 10% 20 2006-01-03 → 2025-12-31 +245.4% +6.4% -63.0% 0.38
platform reference (SPY) (benchmark) 2006-01-03 → 2025-12-31 +628.8% +10.4% -56.1%

2.3  Search accounting

This paper's search is a declared family: the paper's 2 walks, counted at N = 2 evaluated books. Every member is either a registered walk with its own hypothesis and frozen record, or a derived average computed from those frozen records; every member is reported, in the family table, and none was selected away. The count is declared by the author rather than derived from one project's ledger, because the members are sibling registered studies; the declaration names them and is frozen in this artifact. What the source strategy's author searched before publishing is not knowable from here and is not counted. The registered per-step record below still guarantees each window's hypothesis was hashed and registered before that window was scored.

2.4  The comparison

Both arms trade the same registered windows, so their returns can be PAIRED: inside each window the two return series are inner-joined date by date and the difference rThe big jumpers − rAll of last year's winners is the object under test. Because this is ONE pre-declared contrast, frozen at registration before any window was scored, the paired statistic needs no multiple-testing deflation; the arm-level records carry the declared family count of §2.3 as their search accounting, and this contrast, registered per window before scoring, is not multiplied by it.

In the table: Arm A = The big jumpers · Arm B = All of last year's winners.

Table 6. Window-by-window paired comparison. Δ is the growth gap (Arm A − Arm B) over the window's paired dates.
#WindowPaired bars Arm AArm B ΔLeader
1 2006-01-04 → 2006-12-29 250 +7.8% +3.0% +4.8 pp Arm A
2 2007-01-04 → 2007-12-31 250 +20.4% +11.0% +9.4 pp Arm A
3 2008-01-03 → 2008-12-31 252 -49.3% -51.4% +2.2 pp Arm A
4 2009-01-05 → 2009-12-31 251 +14.1% +14.8% -0.8 pp Arm B
5 2010-01-05 → 2010-12-31 251 +13.5% +8.6% +4.8 pp Arm A
6 2011-01-04 → 2011-12-30 251 -17.1% -14.2% -2.9 pp Arm B
7 2012-01-04 → 2012-12-31 249 +24.8% +20.1% +4.7 pp Arm A
8 2013-01-03 → 2013-12-31 251 +37.7% +34.0% +3.7 pp Arm A
9 2014-01-03 → 2014-12-31 251 +10.1% +8.3% +1.9 pp Arm A
10 2015-01-05 → 2015-12-31 251 +5.3% +4.6% +0.6 pp Arm A
11 2016-01-05 → 2016-12-30 251 +6.3% +4.8% +1.4 pp Arm A
12 2017-01-04 → 2017-12-29 250 +6.1% +15.0% -9.0 pp Arm B
13 2018-01-03 → 2018-12-31 250 -8.9% -11.9% +3.0 pp Arm A
14 2019-01-03 → 2019-12-31 251 +23.2% +26.2% -3.0 pp Arm B
15 2020-01-03 → 2020-12-31 252 +20.6% +16.0% +4.6 pp Arm A
16 2021-01-05 → 2021-12-31 251 +30.1% +21.8% +8.3 pp Arm A
17 2022-01-04 → 2022-12-30 250 -2.7% -7.7% +5.0 pp Arm A
18 2023-01-04 → 2023-12-29 249 +15.6% +17.9% -2.3 pp Arm B
19 2024-01-03 → 2024-12-31 251 +31.0% +30.8% +0.1 pp Arm A
20 2025-01-03 → 2025-12-31 249 +30.3% +18.0% +12.2 pp Arm A

Paired Sharpe of the difference track: 0.43 · block bootstrap (2000 paths, block 10, seed 1234): P(The big jumpers beats All of last year's winners) = 97.5%.

Window win-rate. The big jumpers led 15 of 20 windows (75.0%), All of last year's winners led 5, and the mean window gap of +2.44 pp points the same way. Widest single window: 2025 at +12.2 pp.

3  The circuit

The strategy is a circuit of platform primitives, frozen when the study is registered. Below is the circuit as wired on the canvas, the objective it encodes and how the search runs through it, followed by the mathematics each primitive actually computes, the same formulas the execution engine runs. The complete parameterisation is preserved in the study ledger (Appendix A).

The hypothesis under test

The sentence below is the registration record, generated when the circuit was registered and printed verbatim; the authored description of the design is Section 1.

A COMPARATIVE study: The jumpier half vs All of last year's top 10%, walked on the same registered out-of-sample windows. The jumpier half: S&P 500, the jumpier half of last year's top 10% performers by Momentum (12-1), rebalanced quarterly across the selected basket, and run out-of-sample from the anchor: anything the design estimates from history, where it estimates at all, is re-estimated at each anchor from pre-anchor data only, and the walk advances through registered out-of-sample windows; its disposition is the realized forward path versus the benchmark. All of last year's top 10%: S&P 500, all of last year's top 10% performers by Momentum (12-1), rebalanced quarterly across the selected basket, and run out-of-sample from the anchor: anything the design estimates from history, where it estimates at all, is re-estimated at each anchor from pre-anchor data only, and the walk advances through registered out-of-sample windows; its disposition is the realized forward path versus the benchmark. The arms differ in: Smooth Climb Pick, Keep: The jumpier half → All of them. The contrast under test: whether The jumpier half generates better risk-adjusted returns than All of last year's top 10% over the identical out-of-sample windows.

Every block in this study is a card from the platform's catalog: the S&P 500 as its members stood at each date, the Price Loader, Momentum 12-1, the Smooth Climb Pick (Pool: last year's top 10% performers; Keep: all of them, the steadier half or the jumpier half), the Transaction Cost card and the Portfolio Forward Test, which chooses again every quarter. A reader can rebuild every test and change any setting.

The frozen circuit, data flows left to rightuniverse: click for detailsuniverseprice loader: click for detailsprice loaderfilter mom 12 1: click for detailsfilter mom 12 1smooth climb pick: click for detailssmooth climb pickportfolio backtest: click for detailsportfolio backtesttransaction cost: click for detailstransaction costuniverse: click for detailsuniverseprice loader: click for detailsprice loaderfilter mom 12 1: click for detailsfilter mom 12 1smooth climb pick: click for detailssmooth climb pickportfolio backtest: click for detailsportfolio backtesttransaction cost: click for detailstransaction costThe jumpier halfAll of last year's top 10%shared
Figure 6. The frozen circuit, every node a primitive, every wire a typed data-flow; the two arms are colour-coded (The big jumpers green, All of last year's winners blue, shared feeds neutral). Each box is one step of the strategy; data flows along the wires left to right, and no box can see data dated later than the box feeding it. The whole diagram was frozen when the hypothesis was registered. Click any node to open what that step ran with and what it produced.

Envelopes show counts, ratios, dates, and the parameters the author chose. Full price and per-name data series are not republished: the underlying market data is licensed to QuanterLab. Point figures quoted in the prose, a named holding's return over a stated span, are summary facts derived from public market prices, not redistributed series.

What each part does
Universe, The starting set of tickers, resolved point-in-time from the index change-log, so names delisted or removed later still compete on the dates they traded.
Price Loader, Bulk OHLCV fetch for the whole universe, point-in-time, no future bars.
Filter Mom 12 1, Classic 12–1 momentum, last year's return, skipping the most recent month.
Smooth Climb Pick, Smooth Climb Pick: last year's winners, split by how they won.
Transaction Cost, Charge for trading, slippage + commission on every turn.
Portfolio Backtest, Replay the portfolio forward, rebalanced, point-in-time, with costs.

The objective and the search

The jumpier half

UniverseS&P 500 index constituents.
Selectionmetric across Momentum (12-1).
Validation & out-of-sampleportfolio forward test (holds the weights it is given, re-set at each rebalance) (1y horizon from the anchor, quarterly rebalance, each decision traded at the next day's close, dividends counted); overlays: Transaction Cost.
Other componentsSelect: Smooth Climb Pick.

All of last year's top 10%

The specification is identical to The jumpier half's table above, row for row; the one registered difference between the arms is itemized below.

What differs between the arms, one difference; the comparison is clean:

  • paramSmooth Climb Pick, Keep: The jumpier half → All of them

Everything else is held identical, so an out-of-sample gap between the arms is attributable to this one change.

Cost elements are wired into the circuit, the realised drag is reported per step in Appendix B.

Show the mathematics, 6 primitives, formulas and parity notes

3.1  Universe

The starting set of tickers, resolved point-in-time from the index change-log, so names delisted or removed later still compete on the dates they traded.

Before any math, you need a list of stocks. An index preset (S&P 500, Nasdaq-100, Dow 30) is reconstructed as it stood ON your anchor date by replaying the historical add/drop change-log backwards, so a 2018 backtest sees the 2018 membership, not today's winners.

Point-in-time membership

Start from today's constituents and un-apply every membership change after the anchor t:

\mathcal{U}(t) = \mathcal{U}_{\text{now}} \;\ominus\; \{\text{adds after } t\} \;\oplus\; \{\text{drops after } t\}
Constituents resolved from the index change-log; the same point-in-time set the factor + screening modules use.

3.2  Price Loader

Bulk OHLCV fetch for the whole universe, point-in-time, no future bars.

Momentum, volatility, trend, every price-based metric needs history. This loads open/high/low/close/volume for all names in parallel, clipped so nothing after the anchor can leak in. The lookback window is derived automatically from the deepest metric you wired.

The window is derived, not guessed

It loads exactly enough history for the hungriest downstream metric plus a warm-up buffer:

W = \max_k(\text{lookback}_k) + \text{buffer}, \qquad \text{bars} \le \text{anchor } t

3.3  Filter Mom 12 1

Classic 12–1 momentum, last year's return, skipping the most recent month.

The workhorse of cross-sectional momentum. Measure the return from 12 months ago to 1 month ago; the 1-month skip avoids the well-known short-term reversal effect that would otherwise contaminate the signal.

Return with a one-month gap
m_{12\text{–}1} = \frac{P_{t-21}}{P_{t-252}} - 1
252 ≈ one trading year, 21 ≈ one trading month.

3.4  Smooth Climb Pick

Smooth Climb Pick: last year's winners, split by how they won.

Two stocks can both be up 40% on the year. One rose a little on most days; the other sat still and then jumped on a handful of days. Pool sets which winners are looked at (last year's top performers by 12-1 momentum); Keep holds all of them, the steadier half or the jumpier half, two equal halves that never overlap. Da, Gurun and Warachka (2014) found that smooth climbers keep climbing longer, because investors are slow to notice news that arrives a little at a time.

Smoothness of a gain
\text{smooth} = \operatorname{sign}(R_{12-1})\,\big(\%\text{ up days} - \%\text{ down days}\big) \in [-1,\,1]

3.5  Portfolio Backtest

Replay the portfolio forward, rebalanced, point-in-time, with costs.

Holds the basket and rebalances on schedule, re-selecting and re-optimizing point-in-time at each rebalance (so it only ever uses information available then), and reports the equity curve, Sharpe, drawdown and trade stats, optionally net of cost and risk overlays.

Compounded equity
E_t = E_{t-1}\big(1 + \mathbf w_{t}^{\top}\mathbf r_t - \text{costs}_t\big)
Drawdown
\text{DD}_t = \frac{E_t}{\max_{\tau\le t}E_\tau} - 1, \qquad \text{MaxDD} = \min_t \text{DD}_t
Financing a levered book
\text{charge}_t \;=\; \text{loan}_t \cdot \frac{\text{spread}}{252}, \qquad \text{loan}_t = \begin{cases}\max(0,\,-\text{cash}_t) & \text{institutional (netted)}\\ \max(0,\,\text{long MV}_t - E_t) & \text{retail (no netting)}\end{cases}
A levered long/short book (the β-neutral Long/Short Select) borrows its excess notional. WHO you are decides the loan: a prime broker nets short-sale proceeds against the margin loan, a fully-netted BAB book carries almost none, while a retail margin account cannot net, so the same book borrows the long leg’s excess over equity. Profiles: institutional = 50 bps spread + 25 bps GC short borrow; retail = 350 bps + 150 bps (the BEST retail tier, so any verdict is conservative); custom = your own knobs, spread on negative cash. Charged daily, reported as financing_drag_pct, never silent.

3.6  Transaction Cost

Charge for trading, slippage + commission on every turn.

Real trading isn't free. This deducts a cost proportional to how much you trade (turnover), in basis points, so the backtest reflects net, not gross, performance.

Cost per rebalance
\text{cost}_t = \frac{\text{bps}}{10{,}000}\;\times\;\text{turnover}_t, \qquad \text{turnover}_t = \tfrac12\sum_i \lvert w_{i,t}-w_{i,t^-}\rvert

4  Projection calibration, pooled across the walk

Every rebalance carried a Monte Carlo cone and a 95% VaR estimated before the segment it is scored against. Two questions, pooled over the whole study: did realized outcomes land inside the band as often as the band claims, and were VaR breaches as frequent as 5%?

This section is produced by the forward tester itself: every portfolio backtest fits the cone and the VaR estimate at each rebalance and scores them against the segment that followed. It does not require, and this circuit does not contain, a Monte Carlo primitive; that primitive is a separate, standalone analysis.

Arm A71 of 80 inside the 90% band-48%+15%+78%in band20062007200820092010201120122013201420152016201720182019202020212022202320242025Arm B68 of 80 inside the 90% band-48%+15%+78%in band20062007200820092010201120122013201420152016201720182019202020212022202320242025
Figure 7. Projected range versus what occurred, at each of 160 scored rebalance segments, pooled across both arms. The final rebalance of each step has no following segment to score, the ledger marks those rows “no segment follows this rebalance”, which is why this count sits below the raw rebalance totals in the table beneath. Each vertical bar is that rebalance's P5–P95 Monte Carlo cone with the median ticked; the dot is the realized return of the segment that followed. Filled green = the outcome landed inside its own cone; red = it did not. The strip beneath repeats that as one mark per rebalance, so a run of misses in one period is visible as a run. Every cone was fitted only on data prior to the segment it is scored against.
Arm Steps Rebalances In band Coverage Expected VaR days Breach rate Expected
The big jumpers 20 95 71 / 80 88.8% ±3.53 90.0% 4951 6.12% ±0.341 5.0%
All of last year's winners 20 95 68 / 80 85.0% ±3.99 90.0% 4951 6.58% ±0.352 5.0%

± values are binomial standard errors on the estimate. A coverage figure below the expected band means the projection was over-confident; a breach rate above 5% means the same of the risk model. Both forecasts used only data prior to the segment scored.

5  Discussion

5.1  Findings

The year-by-year chart shows the result. Each bar is the big jumpers' return minus the steady climbers' in one year, and the bars sit above the line in all but five of the twenty years. The steady climbers were ahead only in 2011, 2017, 2019, 2023 and, by a fifth of a point, 2024.

Over the twenty years $1 in the big jumpers became $5.80, in all of last year's winners $3.61, and in the steady climbers $2.04 (the growth chart, Tables 1 and 2). Keeping the steady climbers, as the rule says, cost money against plain momentum, and keeping the big jumpers added it. The big jumpers also trade more than the whole group, so costs work against them, and they still came out ahead.

Holding SPY made $7.80 and beat all three. The gap opened in 2008 and 2009. The three portfolios fell about half in 2008, much further than the index, and rose less in the 2009 rebound. After the crash the big jumpers grew almost as fast as SPY but never caught up.

Dividends change nothing here. Without them every line is lower, and the order and the count of years stay the same (Table 3).

5.2  Interpretation

This paper does not test why the rule ran backwards in the S&P 500. Two explanations fit the result. The frog in the pan rests on slow news being noticed late, and the largest companies are followed by dozens of analysts and every news desk, so little slow news is left to notice late. And a big jump in a large company often comes from news that changes the business, an earnings surprise or a new product, and research on earnings has long found that prices keep drifting the same way for weeks after such news.

The obvious objection is risk: a portfolio of jumpy stocks should swing more. It did not. Day to day the big jumpers moved about as much as the steady climbers, and their worst fall was smaller (Table 4). The falling years agree. Momentum lost money in 2008, 2011, 2018 and 2022, and the big jumpers lost less than the steady climbers in three of the four, 2008 included.

The crash years repeat an old pattern. At the start of 2008 last year's winners included National Oilwell Varco, Transocean, Freeport-McMoRan and Deere, riding the commodity boom, and they fell further than the index when the boom broke. At the start of 2009 they included Walmart, General Mills, Amgen and Southern Company, the stocks that had fallen least, and when the market turned they rose least. Daniel and Moskowitz (2016) call this a momentum crash. It hit all three portfolios alike, and none of them made the ground back.

A plain rule reads one thing about a stock and applies it in every kind of market; nothing in it could tell 2008 from the years around it. Our earlier test of a VIX circuit breaker on momentum stepped aside in 2008 and then missed every recovery that followed.

Part of the lead in 2025 may come from the AI build-out, which arrived as earnings jumps; a rule that waits for a steady climb is built to miss moves like that.

The original study measured the whole market, small companies included, over earlier decades, and Alpha Architect draws from a wider pool than the S&P 500.

Enter the lab

Both comparisons are circuits on the platform, built from catalog cards: the S&P 500 as its members stood at each date, the Price Loader, Momentum 12-1, the Smooth Climb Pick and the Portfolio Forward Test. The Smooth Climb Pick's two settings are the whole rule. Pool: last year's top 10% performers. Keep: all of them, the steadier half or the jumpier half. Open one, widen the pool to the top 20% or keep the other half, and run your own test. Add a VIX Regime card, which labels each day calm, choppy or stressed, to see which kind of market each year was, or a Regime Filter to try a switch of your own.

5.3  Limitations

Our price data does not hold the companies that later left the S&P 500, so a winner that collapsed and was removed is missing from the quarters it would have been held. The gap is widest in the early years: in 2006 about a third of the index's members have no price in our data, and from 2020 nearly all of them do, so the pool of winners grew from about 35 stocks to 50. Which half a missing company would have joined, this data cannot say. The missing companies most likely flatter all three momentum portfolios against SPY, whose record is complete, so the SPY result stands; only the order between the two halves is at risk. Each half holds 16 to 25 stocks, so single names move it more than a broad portfolio. Every trade pays 0.1% of its value; choosing again every quarter trades a lot, and a higher cost would lower all three. The smoothness reading uses one window, the same year as the momentum measure, fixed before the walk; no other window was tried.

The run produced the results below. The author chose not to feature them in this paper; they were computed all the same, are part of the frozen record, and are reproducible from the study's frozen circuit.

  • The measurement ladder, 20 windows. The forward tester, per window: the same walk chained price-only, with dividends and net of costs, against the benchmark measured both ways.

References

QuanterLab reference architecture
  1. Gelman, A., & Loken, E. (2013). The garden of forking paths: Why multiple comparisons can be a problem, even when there is no “fishing expedition.” Working paper, Columbia University.
  2. Harvey, C. R., Liu, Y., & Zhu, H. (2016). … and the Cross-Section of Expected Returns. Review of Financial Studies, 29(1), 5–68. doi:10.1093/rfs/hhv059
  3. Lo, A. W. (2002). The Statistics of Sharpe Ratios. Financial Analysts Journal, 58(4), 36–52. doi:10.2469/faj.v58.n4.2453
Author’s references?
  1. Da, Gurun and Warachka (2014), Frog in the Pan: Continuous Information and Momentum, Review of Financial Studies 27(7): 2171-2218. Winners whose gains came from many small moves kept winning longer. https://doi.org/10.1093/rfs/hhu003
  2. Jegadeesh and Titman (1993), Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency, Journal of Finance 48(1): 65-91. The momentum measure used to find last year's winners. https://doi.org/10.1111/j.1540-6261.1993.tb04702.x
  3. Gray and Vogel (2016), Quantitative Momentum: A Practitioner's Guide to Building a Momentum-Based Stock Selection System, Wiley. The strongest stocks first, then the steadier half.
  4. Daniel and Moskowitz (2016), Momentum Crashes, Journal of Financial Economics 122(2): 221-247. After a market falls, last year's winners lag the rebound. https://doi.org/10.1016/j.jfineco.2015.12.002
  5. Bernard and Thomas (1989), Post-Earnings-Announcement Drift: Delayed Price Response or Risk Premium?, Journal of Accounting Research 27: 1-36. Prices keep drifting the same way after earnings news. https://doi.org/10.2307/2491062

Appendix A  Reproducibility in QuanterLab

Each step is backed by a frozen run report. The study is re-derivable from the ledger below.

#CommitReportAnchorOOS window
1 1abcef2993f2 14435 2006-01-01 2006-01-03 → 2006-12-29
2 e8ae2eb8a23a 14438 2007-01-01 2007-01-03 → 2007-12-31
3 43044ff5bdae 14439 2008-01-01 2008-01-02 → 2008-12-31
4 ef1bd799f0f1 14441 2009-01-01 2009-01-02 → 2009-12-31
5 62ec3351b0d2 14443 2010-01-01 2010-01-04 → 2010-12-31
6 83a7d8f72bd0 14445 2011-01-01 2011-01-03 → 2011-12-30
7 40d444665925 14447 2012-01-01 2012-01-03 → 2012-12-31
8 23569d00f6d8 14449 2013-01-01 2013-01-02 → 2013-12-31
9 53d5dcefc992 14451 2014-01-01 2014-01-02 → 2014-12-31
10 866ef0f24aff 14453 2015-01-01 2015-01-02 → 2015-12-31
11 c65025741a7b 14455 2016-01-01 2016-01-04 → 2016-12-30
12 80d140ec7d0e 14458 2017-01-01 2017-01-03 → 2017-12-29
13 808aa34a1c10 14460 2018-01-01 2018-01-02 → 2018-12-31
14 c4d320e457e7 14462 2019-01-01 2019-01-02 → 2019-12-31
15 1019b844e7a7 14463 2020-01-01 2020-01-02 → 2020-12-31
16 6425ed2169b1 14465 2021-01-01 2021-01-04 → 2021-12-31
17 46e279f074d3 14468 2022-01-01 2022-01-03 → 2022-12-30
18 3ec5de95b1f9 14469 2023-01-01 2023-01-03 → 2023-12-29
19 c065d04dac10 14471 2024-01-01 2024-01-02 → 2024-12-31
20 9769133dc2d1 14473 2025-01-01 2025-01-02 → 2025-12-31

Appendix A2  Registration record

What this record does and does not establish. Every window in this study is historical: the data existed before the study began, so this is sequential registration on past windows, not pre-registration in the clinical-trial sense, and no procedure could make it so. What the platform does enforce is order, each step's specification was frozen and hashed before that step was scored, and the walk cannot advance past a step that was never run or close one with a result registered for a different window. The two timestamp columns below are the evidence: read them together and each registration precedes its own run, and each run precedes the next registration. A study whose registrations all post-date its runs would show it here. Wall-clock spacing between registrations varies with the author's schedule and queue latency; the ordering, not the tempo, is the claim.

“A COMPARATIVE study: The jumpier half vs All of last year's top 10%, walked on the same registered out-of-sample windows. The jumpier half: S&P 500, the jumpier half of last year's top 10% performers by Momentum (12-1), rebalanced quarterly across the selected basket, and run out-of-sample from the anchor: anything the design estimates from history, where it estimates at all, is re-estimated at each anchor from pre-anchor data only, and the walk advances through registered out-of-sample windows; its disposition is the realized forward path versus the benchmark. All of last year's top 10%: S&P 500, all of last year's top 10% performers by Momentum (12-1), rebalanced quarterly across the selected basket, and run out-of-sample from the anchor: anything the design estimates from history, where it estimates at all, is re-estimated at each anchor from pre-anchor data only, and the walk advances through registered out-of-sample windows; its disposition is the realized forward path versus the benchmark. The arms differ in: Smooth Climb Pick, Keep: The jumpier half → All of them. The contrast under test: whether The jumpier half generates better risk-adjusted returns than All of last year's top 10% over the identical out-of-sample windows.”

The same hypothesis was registered independently at every step, hashed before each step's out-of-sample window was scored:

Table 7. Registration audit, one row per registered step, with the time each specification was frozen and the time its window was scored. The hypothesis is identical on every row by design: it was registered once and re-registered unchanged at each anchor. Rows that differ would mean the specification moved mid-walk, which is the thing this record exists to rule out. The timestamps are the separate claim: each registration precedes its own run, and each run precedes the next registration.
#AnchorRegistered at (UTC)Run completed (UTC)
1 2006-01-012026-10-07 11:58:27 2026-10-07 12:03:15
2 2007-01-012026-10-07 12:03:15 2026-10-07 12:07:10
3 2008-01-012026-10-07 12:07:10 2026-10-07 12:09:31
4 2009-01-012026-10-07 12:09:31 2026-10-07 12:12:39
5 2010-01-012026-10-07 12:12:39 2026-10-07 12:14:03
6 2011-01-012026-10-07 12:14:03 2026-10-07 12:15:27
7 2012-01-012026-10-07 12:15:27 2026-10-07 12:16:39
8 2013-01-012026-10-07 12:16:39 2026-10-07 12:18:08
9 2014-01-012026-10-07 12:18:08 2026-10-07 12:19:35
10 2015-01-012026-10-07 12:19:35 2026-10-07 12:21:03
11 2016-01-012026-10-07 12:21:03 2026-10-07 12:22:26
12 2017-01-012026-10-07 12:22:27 2026-10-07 12:24:03
13 2018-01-012026-10-07 12:24:03 2026-10-07 12:25:44
14 2019-01-012026-10-07 12:25:44 2026-10-07 12:27:24
15 2020-01-012026-10-07 12:27:24 2026-10-07 12:28:49
16 2021-01-012026-10-07 12:28:49 2026-10-07 12:30:30
17 2022-01-012026-10-07 12:30:30 2026-10-07 12:32:12
18 2023-01-012026-10-07 12:32:12 2026-10-07 12:33:54
19 2024-01-012026-10-07 12:33:54 2026-10-07 12:35:22
20 2025-01-012026-10-07 12:35:23 2026-10-07 12:37:09

Appendix B  Per-step diagnostics

Realized in the projection tables below is the risk engine scoring its own forecast: the buy-and-hold return of the segment that followed each rebalance, on the same gross basis the cone was projected on. It is deliberately not the charged, calendar-window total return the study’s tables print, so the two will not reconcile line by line; the cone and its outcome share one basis, which is what a calibration test requires. Each row names its segment’s span so a boundary session is visible.

Names held is the union across the window: the count of distinct instruments the book touched between the window’s first and last session, not the number it held at one time. A book that rotates monthly touches more names than it holds.

What each step's run actually did beyond its return: capital allocation across lanes and regimes, the portfolio book's rebalancing and cost drag, and how positions were sized. Harvested from the frozen run reports, present where the circuit produced them. Cost drag is the gap between the step's return before and after its trading costs, in percentage points of the step's starting capital, so on a book that trades every session and compounds it can exceed the step's own net return.

Open the full per-step grid (20 steps: every rebalance, capital routing and sizing, per window)

Step 1 · 2006-01-03 → 2006-12-29

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 46 names held · selection: reselect · 0.4% in cash · turnover 5.3× · cost drag 0.53% · 1 name dropped at load (47 selected, 46 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 6.88% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2006-01-01 → 2006-04-01 -4.3328% 8.1838% 23.7225% 11.3174%yes 1.4367% 1 / 61
2006-04-01 → 2006-07-01 -7.5431% 6.6858% 23.207% -4.888%yes 1.7287% 8 / 62
2006-07-01 → 2006-10-01 -8.4335% 7.5019% 26.3282% -3.8227%yes 1.9391% 5 / 62
2006-10-01 → 2007-01-01 -6.4259% 6.5811% 21.4879% 4.0042%yes 1.4684% 3 / 62
2007-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 81 names held · selection: reselect · 0.4% in cash · turnover 4.2× · cost drag 0.42% · 1 name dropped at load (82 selected, 81 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 6.88% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2006-01-01 → 2006-04-01 -2.4028% 10.3894% 26.2737% 10.2395%yes 1.5788% 2 / 61
2006-04-01 → 2006-07-01 -5.8455% 8.6412% 25.4613% -6.2511%no 1.7292% 7 / 62
2006-07-01 → 2006-10-01 -6.7787% 9.2388% 28.1265% -5.3863%yes 1.9193% 5 / 62
2006-10-01 → 2007-01-01 -5.3844% 6.6776% 20.3613% 5.3021%yes 1.3565% 3 / 62
2007-01-01 no segment follows this rebalance, not scored

Step 2 · 2007-01-03 → 2007-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 54 names held · selection: reselect · 0.4% in cash · turnover 6.0× · cost drag 0.6% · 1 name dropped at load (55 selected, 54 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 10.53% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2007-01-01 → 2007-04-01 -6.2418% 7.9214% 22.6356% 3.3675%yes 1.5179% 4 / 60
2007-04-01 → 2007-07-01 -6.1399% 7.4811% 23.1759% 4.0876%yes 1.592% 2 / 62
2007-07-01 → 2007-10-01 -4.4983% 9.1809% 24.9166% 5.2325%yes 1.5557% 10 / 62
2007-10-01 → 2008-01-01 -5.7854% 9.9437% 26.5694% -0.0049%yes 1.7379% 10 / 63
2008-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 89 names held · selection: reselect · 0.4% in cash · turnover 4.8× · cost drag 0.48% · 1 name dropped at load (90 selected, 89 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 13.36% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2007-01-01 → 2007-04-01 -4.9158% 7.8402% 20.9071% 3.8675%yes 1.387% 6 / 60
2007-04-01 → 2007-07-01 -4.8273% 6.8839% 20.1172% 1.5725%yes 1.3735% 4 / 62
2007-07-01 → 2007-10-01 -3.6176% 8.8607% 23.0415% 0.9058%yes 1.3426% 14 / 62
2007-10-01 → 2008-01-01 -5.7885% 10.8625% 28.6035% -2.2777%yes 1.8066% 9 / 63
2008-01-01 no segment follows this rebalance, not scored

Step 3 · 2008-01-02 → 2008-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 4 constructions · 55 names held · selection: reselect · 0.4% in cash · turnover 4.5× · cost drag 0.45% · 1 name dropped at load (56 selected, 55 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 25.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 21.69% of 249 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2008-01-01 → 2008-04-01 -8.3721% 8.5829% 26.6923% -13.443%no 2.0884% 16 / 60
2008-04-01 → 2008-07-01 -11.4766% 6.1436% 25.2566% 1.9273%yes 2.1375% 4 / 63
2008-07-01 → 2008-10-01 -12.3361% 6.8116% 27.9013% -22.6271%no 2.332% 13 / 63
2008-10-01 → window end -12.195% 5.0934% 23.8144% -26.614%no 2.0873% 21 / 63

All of last year's winners

Portfolio book, rebalanced quarterly · 4 constructions · 88 names held · selection: reselect · 0.4% in cash · turnover 3.3× · cost drag 0.33% · 1 name dropped at load (89 selected, 88 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 25.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 20.08% of 249 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2008-01-01 → 2008-04-01 -7.4795% 9.3301% 27.2358% -12.6121%no 1.9292% 13 / 60
2008-04-01 → 2008-07-01 -11.6709% 6.8563% 27.124% 5.8426%yes 2.2199% 2 / 63
2008-07-01 → 2008-10-01 -12.2673% 8.5081% 31.7195% -28.6003%no 2.46% 13 / 63
2008-10-01 → window end -13.438% 4.7973% 24.7602% -25.9865%no 2.1809% 22 / 63

Step 4 · 2009-01-02 → 2009-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 62 names held · selection: reselect · 0.4% in cash · turnover 5.5× · cost drag 0.55%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 3.23% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2009-01-01 → 2009-04-01 -19.6724% 1.8451% 26.3534% -11.6675%yes 2.4614% 8 / 60
2009-04-01 → 2009-07-01 -19.4062% 0.0861% 24.4494% 6.8795%yes 2.4064% 0 / 62
2009-07-01 → 2009-10-01 -29.8595% -0.7288% 36.2757% 12.249%yes 3.5356% 0 / 63
2009-10-01 → 2010-01-01 -28.2134% 1.9908% 40.4992% 10.596%yes 3.5549% 0 / 63
2010-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 104 names held · selection: reselect · 0.4% in cash · turnover 4.6× · cost drag 0.46%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 2.82% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2009-01-01 → 2009-04-01 -20.0628% 1.0696% 25.076% -11.1608%yes 2.4082% 7 / 60
2009-04-01 → 2009-07-01 -19.4098% -0.2189% 23.6952% 4.968%yes 2.4249% 0 / 62
2009-07-01 → 2009-10-01 -28.6811% -0.4682% 34.895% 10.6221%yes 3.6692% 0 / 63
2009-10-01 → 2010-01-01 -29.5653% 1.078% 40.5202% 11.3062%yes 3.9042% 0 / 63
2010-01-01 no segment follows this rebalance, not scored

Step 5 · 2010-01-04 → 2010-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 56 names held · selection: reselect · 0.4% in cash · turnover 5.1× · cost drag 0.51%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 0.0% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2010-01-01 → 2010-04-01 -31.9894% 1.8737% 47.0603% 6.3348%yes 4.7801% 0 / 60
2010-04-01 → 2010-07-01 -39.0586% 1.3258% 68.9707% -15.9507%yes 6.8248% 0 / 62
2010-07-01 → 2010-10-01 -35.7228% 2.497% 56.8751% 21.2059%yes 5.5185% 0 / 63
2010-10-01 → 2011-01-01 -30.9089% 6.4935% 58.0188% 6.3654%yes 5.1578% 0 / 63
2011-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 94 names held · selection: reselect · 0.4% in cash · turnover 4.1× · cost drag 0.41%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 0.0% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2010-01-01 → 2010-04-01 -33.0911% 1.5499% 48.3544% 4.3313%yes 5.0782% 0 / 60
2010-04-01 → 2010-07-01 -37.8242% 1.7967% 67.144% -17.2234%yes 6.5193% 0 / 62
2010-07-01 → 2010-10-01 -36.5141% 2.3659% 58.2695% 14.2564%yes 5.5114% 0 / 63
2010-10-01 → 2011-01-01 -28.2107% 6.8573% 53.5909% 10.0966%yes 4.5104% 0 / 63
2011-01-01 no segment follows this rebalance, not scored

Step 6 · 2011-01-03 → 2011-12-30

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 52 names held · selection: reselect · 0.4% in cash · turnover 4.7× · cost drag 0.47%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 6.85% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2011-01-01 → 2011-04-01 -20.9687% 11.4185% 62.0941% 5.3084%yes 4.777% 0 / 61
2011-04-01 → 2011-07-01 -9.1687% 17.2372% 51.5444% -1.2856%yes 3.3332% 0 / 62
2011-07-01 → 2011-10-01 -12.316% 11.5702% 38.9888% -30.1788%no 2.7351% 11 / 63
2011-10-01 → 2012-01-01 -12.7454% 7.2683% 32.0311% 13.694%yes 2.7015% 6 / 62
2012-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 93 names held · selection: reselect · 0.4% in cash · turnover 4.0× · cost drag 0.4%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 8.47% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2011-01-01 → 2011-04-01 -17.0171% 12.1834% 55.9025% 3.3715%yes 4.191% 0 / 61
2011-04-01 → 2011-07-01 -9.2007% 15.3375% 46.711% -1.8463%yes 3.0917% 0 / 62
2011-07-01 → 2011-10-01 -10.0089% 12.0908% 36.9487% -25.9333%no 2.4743% 14 / 63
2011-10-01 → 2012-01-01 -11.878% 7.2137% 30.5903% 13.8192%yes 2.3556% 7 / 62
2012-01-01 no segment follows this rebalance, not scored

Step 7 · 2012-01-03 → 2012-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 4 constructions · 66 names held · selection: reselect · 0.4% in cash · turnover 6.3× · cost drag 0.63%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 2.03% of 246 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2012-01-01 → 2012-04-01 -9.1104% 7.2668% 28.529% 12.4658%yes 2.0606% 0 / 61
2012-04-01 → 2012-07-01 -9.7852% 7.9486% 29.3033% -0.3232%yes 2.1565% 5 / 62
2012-07-01 → 2012-10-01 -10.9849% 5.9165% 26.1544% 3.0972%yes 1.961% 0 / 62
2012-10-01 → window end -12.3699% 6.9053% 32.8153% 4.8432%yes 2.5611% 0 / 61

All of last year's winners

Portfolio book, rebalanced quarterly · 4 constructions · 103 names held · selection: reselect · 0.4% in cash · turnover 4.8× · cost drag 0.48%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 1.63% of 246 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2012-01-01 → 2012-04-01 -9.2437% 7.1291% 28.3897% 11.5297%yes 2.0313% 0 / 61
2012-04-01 → 2012-07-01 -8.6032% 8.2307% 28.2912% -1.9469%yes 2.0286% 4 / 62
2012-07-01 → 2012-10-01 -10.0293% 6.2353% 25.5615% 4.7146%yes 1.9123% 0 / 62
2012-10-01 → window end -10.5642% 7.4845% 31.3672% 1.9973%yes 2.3612% 0 / 61

Step 8 · 2013-01-02 → 2013-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 54 names held · selection: reselect · 0.4% in cash · turnover 5.5× · cost drag 0.55% · 1 name dropped at load (55 selected, 54 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 2.02% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2013-01-01 → 2013-04-01 -14.5255% 7.2662% 30.3323% 10.1288%yes 2.5366% 2 / 59
2013-04-01 → 2013-07-01 -13.4402% 7.2087% 30.3097% 1.6104%yes 2.4774% 2 / 63
2013-07-01 → 2013-10-01 -17.3384% 5.8951% 32.7372% 12.5048%yes 2.7241% 1 / 63
2013-10-01 → 2014-01-01 -13.8093% 8.5474% 33.96% 7.5828%yes 2.3986% 0 / 63
2014-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 101 names held · selection: reselect · 0.4% in cash · turnover 4.6× · cost drag 0.46% · 1 name dropped at load (102 selected, 101 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 2.82% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2013-01-01 → 2013-04-01 -13.3618% 7.103% 28.4656% 11.2864%yes 2.3305% 2 / 59
2013-04-01 → 2013-07-01 -11.6932% 8.9898% 32.052% -0.3745%yes 2.3254% 2 / 63
2013-07-01 → 2013-10-01 -16.5457% 7.2857% 34.9106% 8.1233%yes 2.7861% 1 / 63
2013-10-01 → 2014-01-01 -5.5702% 11.3895% 29.5014% 9.2725%yes 1.9933% 2 / 63
2014-01-01 no segment follows this rebalance, not scored

Step 9 · 2014-01-02 → 2014-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 54 names held · selection: reselect · 0.4% in cash · turnover 5.0× · cost drag 0.5% · 1 name dropped at load (55 selected, 54 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 4.84% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2014-01-01 → 2014-04-01 -7.2081% 10.3371% 29.1377% 4.6631%yes 2.1025% 2 / 60
2014-04-01 → 2014-07-01 -3.5812% 12.7336% 31.9289% 6.1929%yes 1.8792% 3 / 62
2014-07-01 → 2014-10-01 -5.0992% 9.9914% 25.8388% -4.5555%yes 1.7374% 1 / 63
2014-10-01 → 2015-01-01 -2.0632% 13.0576% 28.8763% 2.1826%yes 1.7016% 6 / 63
2015-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 97 names held · selection: reselect · 0.4% in cash · turnover 4.0× · cost drag 0.4% · 1 name dropped at load (98 selected, 97 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 7.66% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2014-01-01 → 2014-04-01 -4.7068% 10.5153% 26.4432% 4.5138%yes 1.7672% 3 / 60
2014-04-01 → 2014-07-01 -1.2569% 13.1631% 29.7919% 4.0529%yes 1.6143% 4 / 62
2014-07-01 → 2014-10-01 -3.7945% 11.1476% 26.7913% -3.8364%no 1.6277% 3 / 63
2014-10-01 → 2015-01-01 -2.5565% 11.2611% 25.5659% 1.5128%yes 1.5718% 9 / 63
2015-01-01 no segment follows this rebalance, not scored

Step 10 · 2015-01-02 → 2015-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 65 names held · selection: reselect · 0.4% in cash · turnover 5.5× · cost drag 0.55%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 8.47% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2015-01-01 → 2015-04-01 -3.1171% 11.3793% 26.4219% 0.4534%yes 1.438% 4 / 60
2015-04-01 → 2015-07-01 -2.9045% 9.3494% 23.2349% 0.6707%yes 1.391% 4 / 62
2015-07-01 → 2015-10-01 -4.1706% 8.198% 20.8665% -5.4657%no 1.4007% 10 / 63
2015-10-01 → 2016-01-01 -5.7042% 9.4563% 25.4003% 7.149%yes 1.5353% 3 / 63
2016-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 99 names held · selection: reselect · 0.4% in cash · turnover 3.7× · cost drag 0.37%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 9.68% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2015-01-01 → 2015-04-01 -2.9693% 9.4138% 22.029% 2.6248%yes 1.4624% 5 / 60
2015-04-01 → 2015-07-01 -1.9508% 9.4659% 22.2902% 0.4184%yes 1.3492% 4 / 62
2015-07-01 → 2015-10-01 -1.9856% 10.4096% 23.0774% -6.9355%no 1.3717% 9 / 63
2015-10-01 → 2016-01-01 -5.2928% 8.9616% 23.826% 5.5658%yes 1.4981% 6 / 63
2016-01-01 no segment follows this rebalance, not scored

Step 11 · 2016-01-04 → 2016-12-30

The big jumpers

Portfolio book, rebalanced quarterly · 4 constructions · 65 names held · selection: reselect · 0.4% in cash · turnover 5.2× · cost drag 0.52% · 1 name dropped at load (66 selected, 65 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 5.24% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2016-01-01 → 2016-04-01 -7.9522% 8.0809% 25.0563% 2.1617%yes 1.7448% 8 / 60
2016-04-01 → 2016-07-01 -6.4375% 6.8028% 20.5067% 0.6776%yes 1.4314% 3 / 63
2016-07-01 → 2016-10-01 -6.2102% 7.0282% 20.7261% 3.5544%yes 1.4555% 1 / 63
2016-10-01 → window end -10.2812% 3.3737% 19.2049% 0.2051%yes 1.6529% 1 / 62

All of last year's winners

Portfolio book, rebalanced quarterly · 4 constructions · 112 names held · selection: reselect · 0.4% in cash · turnover 4.3× · cost drag 0.43% · 1 name dropped at load (113 selected, 112 held across the window), weights renormalised onto the rest

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 6.05% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2016-01-01 → 2016-04-01 -6.3238% 8.1443% 23.2174% 1.7592%yes 1.5678% 9 / 60
2016-04-01 → 2016-07-01 -5.0709% 7.602% 20.6307% 2.25%yes 1.3243% 2 / 63
2016-07-01 → 2016-10-01 -4.8764% 6.9728% 19.063% 0.0313%yes 1.2733% 2 / 63
2016-10-01 → window end -8.6914% 4.4014% 19.4645% 0.5371%yes 1.659% 2 / 62

Step 12 · 2017-01-03 → 2017-12-29

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 69 names held · selection: reselect · 0.4% in cash · turnover 4.8× · cost drag 0.48%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 1.62% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2017-01-01 → 2017-04-01 -21.0125% -1.2782% 25.9309% -3.9174%yes 2.7559% 1 / 61
2017-04-01 → 2017-07-01 -15.4419% 3.1844% 26.0593% -2.0614%yes 2.5306% 1 / 62
2017-07-01 → 2017-10-01 -12.7288% 3.8156% 23.621% 6.228%yes 2.045% 2 / 62
2017-10-01 → 2018-01-01 -11.0532% 5.9342% 26.2942% 5.87%yes 2.0735% 0 / 62
2018-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 118 names held · selection: reselect · 0.4% in cash · turnover 4.2× · cost drag 0.42%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 1.21% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2017-01-01 → 2017-04-01 -15.907% 1.2371% 23.9636% 0.126%yes 2.4746% 0 / 61
2017-04-01 → 2017-07-01 -14.3618% 4.0234% 26.4985% 0.71%yes 2.4616% 1 / 62
2017-07-01 → 2017-10-01 -10.7283% 5.3074% 24.343% 7.2935%yes 2.1135% 2 / 62
2017-10-01 → 2018-01-01 -8.1429% 6.9832% 24.7106% 6.507%yes 1.8886% 0 / 62
2018-01-01 no segment follows this rebalance, not scored

Step 13 · 2018-01-02 → 2018-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 67 names held · selection: reselect · 0.4% in cash · turnover 5.3× · cost drag 0.53%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 13.77% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2018-01-01 → 2018-04-01 -6.62% 8.0627% 23.3947% 4.4768%yes 1.6939% 6 / 60
2018-04-01 → 2018-07-01 -3.3416% 10.7156% 25.3127% 5.2993%yes 1.3456% 4 / 63
2018-07-01 → 2018-10-01 -2.8169% 10.1758% 24.9967% 7.9785%yes 1.3779% 5 / 62
2018-10-01 → 2019-01-01 -2.6435% 9.6493% 23.5798% -21.7023%no 1.2498% 19 / 62
2019-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 107 names held · selection: reselect · 0.4% in cash · turnover 3.9× · cost drag 0.39%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 14.57% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2018-01-01 → 2018-04-01 -5.3493% 7.8168% 21.3597% 2.8474%yes 1.5004% 6 / 60
2018-04-01 → 2018-07-01 -2.4684% 11.3335% 25.6186% 4.3988%yes 1.3694% 4 / 63
2018-07-01 → 2018-10-01 -3.0719% 9.6391% 24.106% 6.1747%yes 1.3282% 5 / 62
2018-10-01 → 2019-01-01 -1.9616% 9.5971% 22.5981% -20.5659%no 1.1377% 21 / 62
2019-01-01 no segment follows this rebalance, not scored

Step 14 · 2019-01-02 → 2019-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 69 names held · selection: reselect · 0.4% in cash · turnover 5.9× · cost drag 0.59%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 5.24% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2019-01-01 → 2019-04-01 -8.3092% 6.2109% 21.3872% 13.5271%yes 1.6617% 3 / 60
2019-04-01 → 2019-07-01 -6.3613% 5.8103% 19.6489% 1.0582%yes 1.4516% 5 / 62
2019-07-01 → 2019-10-01 -5.5984% 6.8945% 19.7257% -1.073%yes 1.491% 4 / 63
2019-10-01 → 2020-01-01 -4.9271% 6.8219% 18.7999% 4.2868%yes 1.3806% 1 / 63
2020-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 117 names held · selection: reselect · 0.4% in cash · turnover 4.7× · cost drag 0.47%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 6.05% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2019-01-01 → 2019-04-01 -6.9367% 5.9918% 19.2884% 14.8599%yes 1.4988% 3 / 60
2019-04-01 → 2019-07-01 -4.995% 6.4614% 19.3781% 2.062%yes 1.3477% 4 / 62
2019-07-01 → 2019-10-01 -4.2446% 6.8177% 18.0185% 1.028%yes 1.1895% 5 / 63
2019-10-01 → 2020-01-01 -4.4278% 6.1746% 16.8675% 2.5072%yes 1.1848% 3 / 63
2020-01-01 no segment follows this rebalance, not scored

Step 15 · 2020-01-02 → 2020-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 4 constructions · 70 names held · selection: reselect · 0.4% in cash · turnover 4.7× · cost drag 0.47%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 50.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 8.84% of 249 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2020-01-01 → 2020-04-01 -8.5437% 5.6645% 23.7042% -21.3685%no 2.0406% 15 / 61
2020-04-01 → 2020-07-01 -18.2286% 1.8978% 27.1404% 31.5718%no 2.5382% 4 / 62
2020-07-01 → 2020-10-01 -12.5956% 7.7779% 30.4753% 6.5268%yes 2.0948% 2 / 63
2020-10-01 → window end -17.6803% 7.0538% 36.0415% 15.3738%yes 2.7209% 1 / 63

All of last year's winners

Portfolio book, rebalanced quarterly · 4 constructions · 120 names held · selection: reselect · 0.4% in cash · turnover 4.0× · cost drag 0.4%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 50.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 10.04% of 249 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2020-01-01 → 2020-04-01 -7.6904% 5.479% 22.0074% -22.1481%no 1.8785% 15 / 61
2020-04-01 → 2020-07-01 -17.0642% 2.2287% 26.1628% 31.0014%no 2.2839% 5 / 62
2020-07-01 → 2020-10-01 -12.7795% 8.6663% 32.7942% 7.2077%yes 2.2152% 3 / 63
2020-10-01 → window end -16.4976% 7.9998% 36.5611% 10.6663%yes 2.8646% 2 / 63

Step 16 · 2021-01-04 → 2021-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 68 names held · selection: reselect · 0.4% in cash · turnover 5.5× · cost drag 0.55%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 1.61% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2021-01-01 → 2021-04-01 -14.3503% 10.79% 39.9751% 7.1213%yes 2.8223% 4 / 60
2021-04-01 → 2021-07-01 -34.1468% 2.8072% 60.9144% 9.1376%yes 4.2026% 0 / 62
2021-07-01 → 2021-10-01 -29.4167% 7.347% 57.3523% -0.5594%yes 3.7937% 0 / 63
2021-10-01 → 2022-01-01 -24.948% 10.4972% 57.2443% 6.6824%yes 3.4732% 0 / 63
2022-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 122 names held · selection: reselect · 0.4% in cash · turnover 4.6× · cost drag 0.46%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 0.81% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2021-01-01 → 2021-04-01 -13.9253% 10.6091% 38.913% 3.9194%yes 2.9309% 2 / 60
2021-04-01 → 2021-07-01 -25.2859% 7.7852% 55.8266% 7.077%yes 3.5655% 0 / 62
2021-07-01 → 2021-10-01 -24.9677% 9.6661% 55.0279% -0.4631%yes 3.5916% 0 / 63
2021-10-01 → 2022-01-01 -21.4745% 11.0996% 52.4645% 5.7119%yes 3.3309% 0 / 63
2022-01-01 no segment follows this rebalance, not scored

Step 17 · 2022-01-03 → 2022-12-30

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 61 names held · selection: reselect · 0.4% in cash · turnover 4.2× · cost drag 0.42%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 6.07% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2022-01-01 → 2022-04-01 -19.7693% 10.5384% 56.828% 4.4634%yes 3.1647% 1 / 61
2022-04-01 → 2022-07-01 -20.1416% 9.0702% 53.2791% -14.6451%yes 3.1006% 6 / 61
2022-07-01 → 2022-10-01 -10.829% 10.3596% 34.0476% -4.3574%yes 2.0998% 6 / 63
2022-10-01 → 2023-01-01 -9.9304% 9.8229% 34.0627% 7.9274%yes 2.2177% 2 / 62
2023-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 113 names held · selection: reselect · 0.4% in cash · turnover 3.5× · cost drag 0.35%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 6.88% of 247 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2022-01-01 → 2022-04-01 -14.1329% 11.1691% 47.369% -2.5127%yes 2.6888% 2 / 61
2022-04-01 → 2022-07-01 -15.5212% 9.057% 44.1151% -16.1662%no 2.5354% 8 / 61
2022-07-01 → 2022-10-01 -11.1615% 10.8345% 35.6139% -2.6084%yes 2.3054% 5 / 63
2022-10-01 → 2023-01-01 -10.0698% 8.4578% 30.9451% 7.8925%yes 2.1656% 2 / 62
2023-01-01 no segment follows this rebalance, not scored

Step 18 · 2023-01-03 → 2023-12-29

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 74 names held · selection: reselect · 0.4% in cash · turnover 5.1× · cost drag 0.51%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 1.22% of 246 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2023-01-01 → 2023-04-01 -7.9446% 10.3745% 34.5556% 0.1291%yes 2.2745% 1 / 61
2023-04-01 → 2023-07-01 -10.8392% 5.3914% 26.4979% 3.75%yes 2.1184% 1 / 61
2023-07-01 → 2023-10-01 -15.9905% 4.5315% 30.2321% -6.7913%yes 2.7049% 0 / 62
2023-10-01 → 2024-01-01 -19.5666% 1.3396% 27.8512% 16.8763%yes 2.7105% 1 / 62
2024-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 125 names held · selection: reselect · 0.4% in cash · turnover 4.4× · cost drag 0.44%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 0.81% of 246 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2023-01-01 → 2023-04-01 -7.8221% 10.8386% 35.545% 0.2004%yes 2.1552% 1 / 61
2023-04-01 → 2023-07-01 -9.1275% 5.7788% 24.8539% 3.9708%yes 1.8537% 1 / 61
2023-07-01 → 2023-10-01 -14.6149% 4.6497% 28.4126% -5.3493%yes 2.446% 0 / 62
2023-10-01 → 2024-01-01 -17.1578% 2.7507% 27.6033% 16.521%yes 2.5176% 0 / 62
2024-01-01 no segment follows this rebalance, not scored

Step 19 · 2024-01-02 → 2024-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 4 constructions · 65 names held · selection: reselect · 0.4% in cash · turnover 5.5× · cost drag 0.55%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 3.23% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2024-01-01 → 2024-04-01 -22.5611% 1.4107% 29.5669% 17.4432%yes 2.9842% 0 / 60
2024-04-01 → 2024-07-01 -16.2724% 5.4336% 32.9448% 2.284%yes 2.6464% 0 / 62
2024-07-01 → 2024-10-01 -10.9871% 10.7105% 35.0822% 1.4482%yes 2.2223% 6 / 63
2024-10-01 → window end -9.2265% 11.0305% 33.4248% 4.7179%yes 2.0648% 2 / 63

All of last year's winners

Portfolio book, rebalanced quarterly · 4 constructions · 111 names held · selection: reselect · 0.4% in cash · turnover 4.5× · cost drag 0.45%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 100.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 3.63% of 248 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2024-01-01 → 2024-04-01 -19.4041% 3.4682% 29.8304% 17.1915%yes 2.7341% 0 / 60
2024-04-01 → 2024-07-01 -12.6057% 7.9813% 33.5821% 2.4193%yes 2.3539% 1 / 62
2024-07-01 → 2024-10-01 -8.9287% 10.6709% 32.2042% 5.4222%yes 1.9188% 6 / 63
2024-10-01 → window end -6.1319% 11.3754% 30.1764% 1.7256%yes 1.7943% 2 / 63

Step 20 · 2025-01-02 → 2025-12-31

The big jumpers

Portfolio book, rebalanced quarterly · 5 constructions · 62 names held · selection: reselect · 0.4% in cash · turnover 4.9× · cost drag 0.49%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 8.94% of 246 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2025-01-01 → 2025-04-01 -4.4237% 12.6822% 29.7727% -8.3281%no 1.8453% 11 / 59
2025-04-01 → 2025-07-01 -5.7664% 9.6955% 29.4824% 27.0616%yes 1.9666% 5 / 61
2025-07-01 → 2025-10-01 -7.906% 11.4261% 32.5773% 6.8242%yes 1.7536% 0 / 63
2025-10-01 → 2026-01-01 -9.4119% 12.0181% 35.9565% 8.462%yes 1.848% 6 / 63
2026-01-01 no segment follows this rebalance, not scored

All of last year's winners

Portfolio book, rebalanced quarterly · 5 constructions · 108 names held · selection: reselect · 0.4% in cash · turnover 4.0× · cost drag 0.4%

Projection accuracy, realized outcome fell inside the P5–P95 cone in 75.0% of 4 scored rebalances (a well-calibrated 90% band contains ~90.0%) · 95% VaR breached on 8.13% of 246 days (expected ~5.0%)

Rebalance P5 Median P95 Realized In band VaR 95 (1d) Breaches
2025-01-01 → 2025-04-01 -3.1106% 11.8239% 26.4539% -4.3741%no 1.5554% 11 / 59
2025-04-01 → 2025-07-01 -3.3189% 8.4048% 22.83% 14.6033%yes 1.3788% 5 / 61
2025-07-01 → 2025-10-01 -4.5411% 11.2269% 27.8698% 6.556%yes 1.4005% 0 / 63
2025-10-01 → 2026-01-01 -7.1137% 13.5126% 36.2956% 3.5717%yes 2.0194% 4 / 63
2026-01-01 no segment follows this rebalance, not scored
QuanterLab · Study 66d1be050691 · compiled October 07, 2026. Point-in-time constituents and hypothesis-registration timestamps are enforced by the platform. This report is generated from the frozen study artifact and is reproducible from the ledger above. Educational research, not investment advice: every result on this page is simulated, and nothing here is a recommendation to buy or sell any security.

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