Working Paper · April 2026

The Ramification Index

RAM Prices, Oligopoly Cycles, and the Downstream Consequences of Semiconductor Pricing as an Economic Signal

Khayyam Wakil  ·  The ARC Institute of Knowware  ·  Calgary, AB  ·  the@knowware.institute

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Abstract


Informal economic indicators — the Lipstick Index, the Hemline Index, the Men's Underwear Index, and the Buttered Popcorn Index — have circulated in financial journalism for nearly a century as heuristic substitutes for orthodox recession signals. Each is built on consumer-demand folk psychology, and each has failed at least once in the past two decades.

We propose a new indicator built on the supply side of the world's most financialised commodity: dynamic random-access memory (DRAM). We call it the Ramification Index — a name with three simultaneous meanings: the underlying commodity (RAM), the economic ramifications of oligopoly pricing decisions cascading through the IT stack, and the algebraic ramification index e(𝔓|𝔭) from number theory, which measures precisely how a prime ideal branches through a field extension.

The index identifies all six NBER recessions since 1980, leads the cycle by a median of one to three quarters, and is not disrupted by pandemics, fashion cycles, or behavioural substitution. As AI capital expenditure concentrates global IT investment around memory bandwidth, DRAM pricing carries macroeconomic weight that no folk index can claim.


Podcast · Computer Memory Prices Predict Global Recessions
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Key Results

6/6
NBER recessions correctly signalled since 1980
1–3Q
Median lead over NBER recession peak
r=0.41
Pearson correlation with real GDP growth
r=−0.52
Correlation with Δ unemployment (U-3)
95%
DRAM market share held by 3 firms
1957
Earliest year of publicly archived price data

Recession Scorecard

Index1980–821990–9120012008–092020Score
Ramification Index SSSSS 6 / 6
Buttered Popcorn SNSSSAS 3 / 6
Hemline (lagged) SSNSSNS 3 / 6
Lipstick n/an/aSASAS 1 / 3
Men's Underwear n/an/an/aSAS 1 / 3

S = Signalled  ·  NS = No signal  ·  AS = Anti-signal  ·  n/a = series unavailable

Why "Ramification"?

💾

RAM

Dynamic random-access memory — the commodity whose average selling price forms the index. The abbreviation is the anchor.

🌐

Ramification (economic)

A price decision by three firms in Seoul and Boise branches outward into server capex, AI infrastructure, consumer electronics, and ultimately GDP.

Ramification index (algebraic)

In number theory, e(𝔓|𝔭) measures how a prime ideal branches through a field extension. The metaphor is structurally precise, not decorative.

Interactive Comparison Dashboard

 RAM · Lipstick · Hemline · MUI · Popcorn  ·  1980–2026
open full ↗

Citation

@unpublished{wakil2026ramification, author = {Wakil, Khayyam}, title = {The {Ramification Index}: {RAM} Prices, Oligopoly Cycles, and the Downstream Consequences of Semiconductor Pricing as an Economic Signal}, institution = {The ARC Institute of Knowware}, address = {Calgary, AB, Canada}, year = {2026}, month = apr, note = {Working paper. \url{https://iamkhayyam.github.io/memory-index/}} }