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Table Table 1 Growth that compounds

The ARPU boundary worksheet

The same revenue can produce different ARPU values when eligible users or cohort boundaries change.

Metric objectNumerator under named metricUser denominatorPeriod or cohortSynthetic arithmeticWhat it cannot answer
All-user ARPUEUR 48,000 net recurring revenue1,000 eligible usersOne declared monthEUR 48,000 / 1,000 = EUR 48Whether users are profitable or retained
Paying-user ARPUEUR 48,000 net recurring revenue600 eligible paying usersSame month, narrower denominatorEUR 48,000 / 600 = EUR 80Whether eligibility changed the comparison
Cohort A ARPUEUR 24,000 net recurring revenue400 users in Cohort ASame month, fixed entry eventEUR 24,000 / 400 = EUR 60Why Cohort A has a different mix
Cohort B ARPUEUR 24,000 net recurring revenue600 users in Cohort BSame month, fixed entry eventEUR 24,000 / 600 = EUR 40Whether age or acquisition route caused the gap
Cross-buying lineEUR 8,000 additional product revenue1,000 eligible usersSame month and base populationEUR 8,000 / 1,000 = EUR 8Whether the line increased contribution or retention
Contribution per eligible user, not ARPUEUR 30,000 contribution after declared costs1,000 eligible usersSame month and base populationEUR 30,000 / 1,000 = EUR 30 contribution per eligible userWhether it can be compared with ARPU or whether the cost boundary is complete

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Reference & Evidence

Source: Author's synthetic ARPU worksheet grounded in Kumar, George, and Pancras (2008) and Kamakura (2008). Revenue, user counts, and ratios are illustrative arithmetic, not company data or benchmarks.

Each line is a claim from the register this journal publishes against, resolved from the register at build time.

  • B Kumar, George, and Pancras describe cross-buying as a way existing customers can contribute revenue across products and study drivers and consequences in a retail setting: "cross-buying by consumers enables retailers to cross-sell their products and increase revenue contribution from existing customers" Kumar et al. (2008), full-text extract held · KGP08-C1
  • B Their cross-buying result is a retail customer-behaviour study, not a universal ARPU benchmark or a general SaaS growth law: "for studying the drivers of cross-buy in a non-contractual setting, we define cross-buy as the total number of different product categories that a customer has purchased from a firm from the time of first purchase" Kumar et al. (2008), full-text extract held · KGP08-C2
  • B Kamakura frames cross-selling as offering an additional product to the right customer and links the strategy to share of wallet, relationship breadth, and retention questions: "increasing the firm’s share of the customer wallet, broadening the scope of the relationship with the customer, and increasing customer retention" Kamakura (2008), full-text extract held · KAM08-C1
  • B Analytical targeting can identify cross-selling prospects, but a prospect score is not the same object as realised revenue per user: "a review of some of the analytical tools for identifying prospects for cross-selling" Kamakura (2008), full-text extract held · KAM08-C2
  • B ARPU is revenue under a declared numerator boundary divided by eligible users under a declared denominator boundary for a named period or cohort Author metric definition · G10ARPU-OWN-C1
  • B A usable ARPU record states whether revenue is gross, net, invoiced, collected, recurring, or another defined amount and which users are eligible Author metric framework · G10ARPU-OWN-C2
  • B ARPU can describe average monetization under a stable boundary, but it does not by itself measure customer value, margin, retention, or causal product performance Author negative boundary · G10ARPU-OWN-C3
  • B Cohort entry, plan mix, geography, acquisition route, user definition, and maturity can change ARPU without a change in the underlying offer Author measurement framework · G10ARPU-OWN-C4
  • B Cross-buying and cross-selling are behaviour and offer objects that can contribute to ARPU, but neither is interchangeable with the ratio Author taxonomy · G10ARPU-OWN-C5
  • B ARPU should be read beside the eligible-user count, revenue bridge, contribution boundary, and cohort composition rather than as a standalone target Author operating framework · G10ARPU-OWN-C6
  • B The ARPU comparison table is synthetic and illustrative; its values are arithmetic examples, not company data or benchmarks Author synthetic object · G10ARPU-OWN-C7
  • B A change in ARPU after a definition, pricing, mix, or eligibility change is descriptive until the changed mechanism and comparison window are declared Author causal boundary · G10ARPU-OWN-C8

Grades: A, verified against the printed page of the primary source · B, primary source, text layer only · C, authoritative secondary · D, reported.