AAAU – Goldman Sachs Physical Gold ETF (ETF-US) | 2-wk Markov

How the Markov model works here

A Markov Chain simplifies weekly price action into states—Down, Neutral, Up—and learns the probability of moving from one to the next. It’s “memoryless”: the next step depends on the current state, not distant history.

We present: Prob. Up Next Week (one-week transition), Prob. Up ≤ k (at least one Up in the next k weeks), Expected Run (typical state duration), and Reward Stats (average weekly returns by state/transition).

Higher Up probabilities / longer Up runs = constructive. Persistent negative rewards or Down bias = caution. Educational only – not financial advice.

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Markov Results

k = 2 Reset

Prob. Up Next Week

0.00

Neutral

Prob. Up ≤ k

0.00

At least one Up within k weeks

Expected Up Run (wks)

0.0

Typical

Down-state Reward (%/wk)

0.00

Benign

P20 / P80 (weekly)

-0.18 / 0.43 Range

Reward (Up %/wk)

Positive

Reward (Neutral %/wk)

Baseline

Expected Down Run (wks)

Risk

Lookahead Horizon (k weeks)

2

Move the slider to see probabilities within 1–8 weeks.

AAAU - Goldman Sachs Physical Gold ETF ETF-US

Metric	Value
Current State	Up
Prob. Up Next Week	0.839
Prob. Up ≤ 2	0.712
Expected Run (Current)	6.2
Expected Run (Up)	6.2
P20 / P80 Bands	-0.179 / 0.431

Quick Read

Prob. Up Next Week

0.839

Prob. Up ≤ k

0.712

Expected Run (Current)

6.200

Expected Run (Up)

6.200

Avg Return in Up (wk)

0.008

Avg Return in Neutral

0.005

Avg Return in Down

0.002

Plain-English Interpretation

Current regime: Up.

Short-term odds favour an Up move soon. When Up, this name tends to trend for multiple weeks - momentum can persist. If/when it flips Up, rallies often carry for several weeks. Average weekly return while Up is positive - constructive when the regime turns. Typical weekly range sits between -0.179 and 0.431 (20th–80th pct).

Reward Stats (avg % return)

State	Avg Return	Samples
0	0.002	29
1	0.005	86
2	0.008	28

Transition	Avg Return	Samples
0->0	0.002	25
0->1	0.007	4
1->0	0.016	3
1->1	0.005	79
1->2	0.000	4
2->1	0.006	3
2->2	0.008	25

Reading the metrics

Prob. Up Next Week — one-step transition. Higher values are constructive.
Prob. Up ≤ k — chance of at least one Up in the next k weeks.
Expected Run — typical duration of current state; longer Up runs support trends.
P20 / P80 — typical weekly range for risk sizing.
Reward Stats — average weekly returns by state/transition; negatives flag caution.

Legend

Positive Negative Neutral k = weeks ahead Probabilities Ranges (P20/P80)

Accents appear where metrics indicate strength or risk.