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Allocation Strategy

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A Bollinger band drapes two standard deviations around a stock's recent average price; "%B" says where today's price sits inside that band — 0 at the bottom, 1 at the top. We measured this on three clocks at once (daily, weekly, monthly) for every liquid Japanese stock, every day, for five years, then checked each position against the price 12 months later. All combinations, two matrices:

When the monthly trend is healthy (monthly %B at 0.25 or higher) Each cell: of all stocks that sat in this daily × weekly position, the share that was higher 12 months later. DAILY POSITION ↑ below band0–0.250.25–0.500.50–0.750.75–1.00above bandbelow band0–0.250.25–0.500.50–0.750.75–1.00above band61%64%65%64%66%73%60%60%60%60%61%65%67%61%60%61%60%60%69%63%63%63%61%58%59%61%63%63%61%59%51%57%59%59%59%53% WEEKLY POSITION →
Same matrix when the monthly trend is weak or broken (monthly %B below 0.25) The identical daily × weekly positions — but the longer trend is sick. Nearly every cell loses its edge. DAILY POSITION ↑ below band0–0.250.25–0.500.50–0.750.75–1.00above bandbelow band0–0.250.25–0.500.50–0.750.75–1.00above band48%54%59%65%67%few cases51%53%52%56%56%65%60%53%53%55%54%53%59%54%56%55%55%52%60%53%55%55%55%54%41%50%53%52%52%52% WEEKLY POSITION →

The two matrices differ only in the monthly trend — and that difference is the strategy. The best cell in the book is a sharp daily dip inside a healthy long trend (up to 73 of 100 higher a year later). The worst is a bounce above the daily band while the long trend is broken (41 of 100). The portfolio's three ranges are these cells translated into yen for each holding.

The four situations, in plain numbers

Out of 100 stocks that were…Higher 12 months laterTypical move
A dip on the daily chart while the monthly trend is healthy61 of 100+7.4%
Monthly trend healthy, nothing stretched, no dip62 of 100+7.7%
Price above its weekly band59 of 100+5.8%
Monthly trend broken53 of 100+1.9%

And any stock, any position, held for…

Holding periodHigher at the endTypical move
6 months58 of 100+3.5%
12 months60 of 100+6.6%
18 months62 of 100+9.1%
24 months65 of 100+14.7%

From study to weights

Four Key Squares×1.0range 0.4 – 1.5 × Valuation rank×1.15range 0.85 – 1.15 × Tape (band position)×1.11range 0.8 – 1.2 = Weight6.80%after scaling the portfolio to 100% Worked example: 7378 ASIRO — each factor is explained step by step below.

The worked example, step by step. Take 7378 ASIRO. Every name starts equal. First factor: its Four Key Squares. ASIRO's squares are still contested — not won, not lost — so this factor is 1.0. It earns no bonus and takes no penalty. Second factor: valuation. Among the holdings, ASIRO's price is the lowest relative to the profit its capital produces. The cheapest gets the biggest reward, so this factor is 1.15. Third factor: the tape. ASIRO's current position in its bands belongs to a group that, historically, rose more often than average over the following 12 months. That earns 1.11. Multiply the three: 1.0 × 1.15 × 1.11 ≈ 1.28. Do the same for every holding, scale them so the whole portfolio adds up to 100%, and ASIRO's share comes out at 6.80%.

The fine print. The study behind the matrices covers 2.4 million daily observations from 2021 to 2026. We kept only stocks that trade at least ¥10 million a day — stocks an investor could actually buy. Returns are measured on prices alone; dividends are left out, and they would only have helped. The same stock counts once per day, so observations overlap and the sample is large but not independent. The weekly and monthly readings use only finished bars — when we ask "what happened over the next 12 months," everything we knew at the start was truly knowable then. And the honest limit: these numbers describe the past five years. They do not promise the next five.

Who makes the team. As more companies get profiled, the portfolio does not grow with them. Every published company is scored with the same three factors. The twenty highest scores hold a place; the rest wait outside. One exception overrides everything: a company whose valuation re-rates out of the screen leaves immediately, however well it scores.

What the tape never decides. The bands never answer whether a company is worth owning. That question is answered on the Four Key Squares page, from filings. The tape answers only two smaller questions: how quickly to build the position, and when to stand still.

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