Gold vs USD Cash

Lab Case 008: Gold vs USD Cash — Interest & Ownership | Paul Faulkner — The Rogue Protocol
Partial Finding · Lab Case 008 · 23 May 2026
Forensic Investigation — Concluded

Gold vs USD Cash —
Interest, Ownership,
and the 1980 Exception

Gold dominates compounded USD cash from every legally valid starting point. The interest adjustment doesn’t close the gap. The ownership ban doesn’t rescue the cash case. The 1980 exception is real, narrow, and regime-specific. The AI-generated counter-thesis that sparked this investigation was wrong on the data.

Thesis Originator Tiaan Fourie
Organisation Responsible Capital
Verdict Partial — Gold’s favour
Sub-findings 1 Fail · 2 Partial · 1 Structural
Key finding Interest already in data. Gold wins 1.95× from 1975.
Legal anchor Jan 1975 — first US ownership date
Data endpoint March 31, 2026 · Gold $4,560/oz
Origin Lab 007 follow-on · DM · 21 May 2026
Verbatim · LinkedIn DM · 21 May 2026

“The claim is simple — Gold has dominated the USD since the end of Bretton Woods in 1971 when analysing price only. The most important question we need to analyse is how true this claim is when adjusting for interest earned, and for the time period between 1944 and 1974 when the ownership of physical gold was illegal in the USA.”

Tiaan Fourie · Founder, Responsible Capital · LinkedIn DM · 21 May 2026 · Submitted as thesis for Lab Case 008 following Lab 007 verdict

This thesis arrived directly from the dataset originator. Tiaan Fourie supplied 15 sheets of monthly compound return data covering July 1944 to March 2026, then asked whether the two adjustments — interest reinvestment and the 1933–1974 gold ownership ban — materially alter the finding. That is the correct question. Both adjustments are analytically legitimate and frequently deployed by cash advocates to contest gold’s long-run dominance.

The claim itself is attributed to broader market consensus — Schoeman Rudman’s LinkedIn comment being the proximate trigger — rather than a personal assertion by Tiaan. He is a gold advocate testing the robustness of a position he holds, not defending one he has staked publicly. That distinction makes this investigation methodologically cleaner than Lab 007. The question is honest, the data is clean, and the proposed defeaters deserve a precise answer.

Note on the AI counter-thesis: in framing the submission, Tiaan ran the claim through Google’s AI Mode. The response generated stated that compound interest “frequently matches or outpaces” gold. That assertion is directly contradicted by Tiaan’s own dataset. Lab 008 tests the original thesis and — as a structural finding — addresses the AI-generated counter-claim that preceded it.

Five anchors.
Interest already in the data. No adjustment required.

The critical methodological point for this investigation: the USD cash series in Tiaan’s dataset is not a nominal dollar value. It represents total return — principal compounded monthly at the 3-month US Treasury Bill rate, with every coupon reinvested. When the cash series reads 1,118 from a base of 100, that number already reflects 51 years of compounded T-bill interest. The interest adjustment proposed as a defeater is not something to apply on top of the data. It is already in the data.

This matters because it means any claim that “interest eliminates gold’s lead” must be tested directly against the indexed figures — not against a nominal gold price with interest added as a separate calculation. The dataset does the work. The investigation reads the output.

USD Cash Series
3-Month US Treasury Bills
Monthly compound return, fully reinvested
Total return — not nominal dollar value
Indexed to 100 at each anchor date
Interest is already embedded in every figure
This is what a dollar holder actually earned
Gold Series
Gold spot price · USD/oz
Monthly close · Macrotrends/WGC basis
London Bullion Market
Indexed to 100 at each anchor date
No yield — total return = price return only
The zero-yield penalty is fully reflected
Anchor Dates Tested
Jul 1944 — Bretton Woods inception
Aug 1971 — Bretton Woods collapse
Dec 1974 — Eve of US legal ownership
Dec 1977 — Mid-period neutral
Jan 1980 — Monthly avg $668, not $850 peak
Data Endpoint
March 31, 2026
Gold: $4,560/oz
Gold ATH: $5,286 (February 2026)
All five anchors run to this single endpoint
No selective termination
Dataset originator: Tiaan Fourie

Four anchors. Gold wins.
One anchor. Cash wins — barely.

Gold vs cash · Dec 1974
First legal US ownership date
1.95×
Gold 2,186 vs Cash 1,118 (indexed). 6.21% p.a. vs 4.83% p.a. Interest fully included. Gold wins.
Gold vs cash · Aug 1971
Post-Bretton Woods, full period
7.64×
Gold 10,510 vs Cash 1,377 (indexed). 8.90% p.a. vs 4.92% p.a. The most complete picture.
Cash edge · Jan 1980
Only period cash wins
53bps
4.62% p.a. vs 4.09% p.a. cash win. Requires selecting gold’s single most extreme month in history.
Periods gold wins
Out of five tested
4 of 5
Jul 1944, Aug 1971, Dec 1974, Dec 1977 all favour gold after full interest adjustment. Jan 1980 is the outlier.
Gold vs USD 3M Cash · Five Anchors · All to March 2026 · Index start = 100 · Interest compounded monthly throughout Tiaan Fourie dataset · Macrotrends/WGC gold · FRED TB3MS
Anchor Context USD Cash (Mar 2026) Gold (Mar 2026) Cash p.a. Gold p.a. Winner
Jul 1944 BW inception — gold fixed & illegal 2,783 12,455 4.16% 6.08% Gold +192bps
Aug 1971 BW collapse — Nixon shock 1,377 10,510 4.92% 8.90% Gold 7.64×
Dec 1974 First US legal ownership 1,118 2,186 4.83% 6.21% Gold +138bps
Dec 1977 Mid-period neutral anchor 957 2,563 4.79% 6.95% Gold 2.68×
Jan 1980 Monthly avg $668 — gold’s historic spike 800 632 4.62% 4.09% Cash +53bps
Annualised Returns · Gold vs USD Cash · Five Anchors · All to March 2026 Tiaan Fourie dataset · FRED TB3MS · Monthly compound returns · Interest reinvested throughout
GOLD (P.A.) USD CASH / T-BILLS (P.A.) EXCEPTION 0% 2% 4% 6% 8% 10% 6.08% 4.16% JUL 1944 81.7 YRS 8.90% 4.92% AUG 1971 54.6 YRS 6.21% 4.83% DEC 1974 LEGAL ANCHOR 6.95% 4.79% DEC 1977 48.3 YRS 4.09% 4.62% JAN 1980 CASH WINS · 53BPS ONLY EXCEPTION $668 MONTHLY AVG
Each row shows annualised compound returns for Gold (amber) and USD Cash / 3M T-Bills (green) from the anchor date to March 31, 2026. Cash figures include full monthly reinvestment of T-bill interest throughout — the interest adjustment is already embedded. Gold wins four of five periods on an annualised basis. The January 1980 exception (bottom row, hatched) requires selecting the single most extreme month in gold’s price history as an entry point, and even then the cash edge is 53 basis points per annum. Dec 1974 is marked as the Legal Anchor — the first date a US citizen could legally hold physical gold.

The chart makes the structure of the finding visible in a way the table cannot. Four rows show the amber bar consistently extending well beyond the green. One row reverses. That reversal — the 1980 exception — is the entire thesis of the cash case. It requires the most adversarial entry point available, and the gap it produces is 53 basis points per annum. Against that, the legal anchor (Dec 1974) produces a 138 basis point annual advantage for gold, compounded over 51 years into a 1.95× total return multiple.

The interest adjustment does not close the gap. It is already built into every number on this chart.

The adjustments are applied.
The gold case survives both.

F01
Compound interest eliminates gold’s dominance over USD cash
✕ Fail
The claim that reinvesting T-bill interest closes the gap is directly contradicted by the dataset that Tiaan supplied to make it. The USD cash series is a total return series — monthly T-bill rate compounded continuously throughout the measurement period, with every coupon reinvested. When that series reads 1,118 from a base of 100, it is the full growth of a dollar invested in risk-free cash equivalents since December 1974. There is no additional interest adjustment to apply.

After full interest reinvestment: from December 1974, gold returns 2,186 vs cash 1,118. From August 1971, gold returns 10,510 vs cash 1,377. From December 1977, gold returns 2,563 vs cash 957. The proposed defeater was already built into the denominator. Gold wins comprehensively from every legally valid starting point, interest included.

The only configuration where cash wins after full interest reinvestment is January 1980 — addressed in Finding F03.
Determining numbers: Dec 1974: Gold 2,186 vs Cash 1,118 (interest embedded) — Gold 1.95× · Aug 1971: Gold 10,510 vs Cash 1,377 — Gold 7.64× · Dec 1977: Gold 2,563 vs Cash 957 — Gold 2.68× · Interest adjustment applied to all: gold still wins from every legal anchor.
F02
The 1933–1974 gold ownership ban invalidates the gold dominance claim
Partial
The ownership constraint is real. Under Executive Order 6102 (1933) and the Gold Reserve Act (1934), US citizens were prohibited from holding gold bullion until the ban was lifted on December 31, 1974. Physical gold ownership was a federal crime for forty-one years. Any investment comparison using a starting point before January 1, 1975 is analytically moot for US retail investors — the investment was not available to them.

Applying this constraint correctly does not rescue the cash case. The ownership ban removes the period most structurally unfavourable to gold — the Bretton Woods era, when gold was government-price-fixed at $35 while cash compounded freely. Eliminating that period and starting from January 1975 (gold at $176/oz, first legal ownership month) produces a comparison where gold returns 2,186 vs cash 1,118 over 51 years, after full interest reinvestment. The ownership constraint tightens the analytical framing. It does not change the winner.

The partial verdict reflects that the constraint is legitimate and should be applied — it just doesn’t do what its proponents argue. It is a correct methodological point with an incorrect conclusion attached.
Determining numbers: Ban lifted: December 31, 1974 · First investable month: Jan 1975 · Gold price Jan 1975: ~$176/oz (already 5× the Bretton Woods $35 peg) · From Dec 1974 to Mar 2026 (51.2yr): Gold 6.21% p.a. vs Cash 4.83% p.a. · Ownership constraint applied: gold still wins by 138bps p.a.
F03
The January 1980 exception — cash wins from gold’s historic peak
Partial
Cash wins from January 1980. Using the monthly average price of $668 — the methodologically correct figure, established in Lab Case 007 — cash returns 800 indexed vs gold’s 632 by March 2026, a spread of 53 basis points per annum over 46 years. This finding is real and should not be dismissed.

What requires context: January 1980 was not a representative month. It was the peak of the most extreme gold price spike in recorded history — driven by the Hunt Brothers silver corner, Soviet invasion of Afghanistan, and Iranian hostage crisis simultaneously concentrating geopolitical fear premium into a single commodity. Selecting January 1980 as a starting point is equivalent to measuring equity returns from March 2000 or March 2021 — both technically valid, neither analytically representative.

The partial verdict reflects that the finding is genuine but context-dependent. The gap has closed dramatically — from a peak indexed spread of approximately 439 (cash) vs 41 (gold) circa the year 2000, to 800 vs 632 by March 2026. Gold’s ATH of $5,286 in February 2026 briefly brought the 1980 comparison to near-parity before the pullback to $4,560 widened it again. The directional trajectory favours continued compression.
Determining numbers: Jan 1980 monthly avg: $668 · Mar 2026: $4,560 · Indexed: Cash 800 vs Gold 632 · Cash 4.62% p.a. vs Gold 4.09% p.a. · Cash edge: 53bps · Peak spread (c.2000): ~10:1 indexed · Mar 2026 spread: 1.27:1 · Gold ATH $5,286 (Feb 2026) brought ratio to near-parity before pullback.

The proposed defeater
was wrong on the data before the test ran.

Google AI Mode Response · Submitted with thesis · 21 May 2026

“The Verdict: When long-term compound interest is reinvested into the USD, it frequently matches or outpaces physical gold’s price appreciation.”

Structural Finding · AI Counter-Claim Assessment

When Tiaan submitted the thesis, he included an AI-generated analytical response from Google’s AI Mode that framed compound interest as a likely defeater of gold’s dominance. The response stated that interest reinvestment “frequently matches or outpaces” gold’s price appreciation. This is the claim the investigation was, in part, constructed to test.

The assertion is false. It is contradicted by the dataset Tiaan supplied alongside it. The cash series in that dataset already represents total return with full monthly T-bill reinvestment — the very adjustment the AI response treats as a corrective to apply. After applying it (by reading the dataset as constructed), gold wins 1.95× from the legal ownership anchor, 7.64× from 1971, and 2.68× from 1977. Cash wins from one starting point out of five. “Frequently matches or outpaces” is accurate for 20% of tested configurations.

This is not a marginal error. The AI response generated a confident verdict that directly contradicted the primary data source attached to the same conversation. The mechanism is straightforward: the model was reasoning from general financial commentary — where the compound interest argument against gold is widely circulated — rather than from the specific figures in front of it. The circulating claim is plausible enough to sound authoritative. It is not supported by the data at the legally valid anchor.

The Lab’s structural finding: when an AI-generated counter-thesis is deployed to frame an investigation before the data has been examined, and the counter-thesis is itself wrong, the investigation’s first job is to identify that. It does not change the verdict on the primary claim. But it materially changes what story the piece tells — from “does interest adjustment change the gold finding?” to “does a confident AI-generated counter-argument survive the dataset its own user provided?”

It does not.

The pattern here is analytically important beyond this single case. The compound interest argument against gold is widely enough circulated that it reads as settled knowledge. An AI trained on that body of commentary will reproduce it. But its validity is entirely anchor-dependent — it holds from January 1980, fails everywhere else — and the conditions under which it holds are precisely the conditions that require the most caveat (historic price spike, regime-specific macroeconomic environment, narrowing gap over time). A confident assertion that it “frequently” holds inverts the actual evidence ratio.

Dataset
Tiaan Fourie / Responsible Capital
15-sheet Excel workbook
Jul 1944 – Mar 2026
Monthly compound returns
Gold spot vs 3M T-bill total return
Indexed to 100 at discrete anchors
Supplied by DM · 19 May 2026
Gold Price
Macrotrends / World Gold Council
Monthly average USD/oz
London Bullion Market basis
WGC consolidated: Bloomberg,
Datastream, ICE BA, MCX India
Jan 1915 – Mar 2026
Lab 007 methodology applies
Risk-Free Rate
FRED TB3MS
3-Month Treasury Bill
Secondary Market Rate
Monthly · Jan 1934 – Mar 2026
Federal Reserve Bank of St. Louis
Compounded monthly per period
Total return series — interest embedded
Forensic Verdict · Lab Case 008

Partial.
Gold’s dominance survives both adjustments.

F01 · Interest
adjustment
Fail
F02 · Ownership
constraint
Partial
F03 · 1980
exception
Partial
AI counter-
thesis
Structural

The claim — gold has dominated USD cash since 1971 on price only — is correct. The two proposed adjustments, interest reinvestment and the ownership ban, both fail to change that finding from the legally valid starting points.

The interest adjustment was already embedded in the dataset. After full monthly T-bill reinvestment, gold returns 2,186 vs cash 1,118 from the first legal ownership date (December 1974), 10,510 vs 1,377 from August 1971, and 2,563 vs 957 from December 1977. The interest adjustment does not close the gap. It was never the gap-closer its proponents claim, except from one starting point.

The ownership ban is a legitimate analytical constraint. Removing pre-1975 starting points from consideration eliminates the period during which gold was price-fixed and legally inaccessible — the period most structurally unfavourable to gold. Applying the constraint correctly, gold wins the legally valid comparison by 138 basis points per annum over 51 years.

The one genuine finding for the cash case is the January 1980 exception. Using the monthly average of $668 — the correct figure, not the intraday $850 peak addressed in Lab 007 — cash returns 4.62% p.a. vs gold’s 4.09% p.a., a 53 basis point annual edge over 46 years. This is real. It requires the most adversarial possible entry point — the single most extreme month in gold’s price history — and the gap has compressed from roughly 10:1 indexed at its peak circa 2000 to 1.27:1 by March 2026. The trajectory is clear.

The AI-generated counter-thesis that framed the investigation — that compound interest “frequently matches or outpaces” gold — is false for four of five periods tested, and false from every legally valid anchor. It is the kind of confident-sounding claim that circulates because it is plausible in summary form and wrong in the data. The Lab documents it as a structural finding for that reason.

Forensic finding: Interest already in total return series — no additional adjustment changes the result. Ownership ban legitimate but removes period most unfavourable to gold; 1975 anchor gold wins +138bps p.a. Jan 1980 exception real — 53bps cash edge — requires historic price spike entry point, gap compressed from 10:1 (2000) to 1.27:1 (Mar 2026). AI counter-thesis false for 4 of 5 tested periods. Overall: Partial — gold’s favour.
Note on Process
This investigation was initiated by Tiaan Fourie, who supplied the dataset and submitted the thesis in the format requested following Lab Case 007. He is credited as data originator. The investigation tests the thesis, not Tiaan — he submitted it for scrutiny, not defence. Tiaan Fourie is invited to respond, extend, or submit a revised thesis via thelab@paulfaulkner.com. Any response will be published in full and linked from this page. The investigation notes that Tiaan’s own dataset, correctly read, contradicts the AI-generated counter-thesis he included with his submission — a finding he is likely to find more interesting than inconvenient.