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Table Table 2 Growth that compounds

How much of a change in spending has reached the asset

The same figures apply to building and to losing. A rate slow enough to make an asset durable is slow enough to make it indefensible in an annual review.

Depreciation rateAfter 1 yearAfter 3 yearsAfter 5 yearsAfter 10 years
2.5% a year3%7%12%22%
20% a year20%49%67%89%
55% a year55%91%98%100%

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Reference & Evidence

Source: Author’s calculation from the capital accumulation identity: the share of a permanent change in the maintaining flow that has arrived in the stock after t years is 1 − (1 − d) raised to the power t, where d is the annual rate. Rates as in Table 1.

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

  • A The 2.5% rate measures decay of one year's consumption experiences in brand preference, not advertising capital Bronnenberg, Dube & Gentzkow (2012), p. 2474 · BDG12-C1
  • A The organisational-capital depreciation rate is assumed rather than estimated, which is why the paper's own contrast is with the estimated R&D rate: "The results of our parameter estimation imply an average 33% annual depreciation rate for R&D versus 23% for BEA R&D depreciation rates where industry coverage is available" Ewens, Peters & Wang (2019, revised 2023), note to Table 1 · EPW24-C1
  • A They adopt a 55% annual advertising-capital depreciation rate from Corrado et al. (2016) Bronnenberg, Dube & Syverson (2022), section II · BDS22-C2

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