1. The Apparent Contradiction
Two positions I have defended appear, at first sight, to pull in opposite directions. First: corporate profits and asset bases are understated because research and development (XRD), advertising (XAD), and software development outlays are expensed as incurred rather than capitalized on the balance sheet. Second: the 2008 System of National Accounts (SNA) treatment of “intellectual property products” (IPP) as produced fixed capital overstates GDP, because the recorded magnitudes are neither traceable nor auditable. Ireland’s revised 26.3% GDP growth for 2015 — Krugman’s “leprechaun economics” — is the canonical exhibit: a surge in national output with no corresponding domestic production.
If capitalizing intangibles corrects the firm’s accounts, how can capitalizing intangibles corrupt the nation’s? The resolution is that “capitalization” names two distinct operations, and the two critiques attack opposite sides of that distinction.
2. Position One: Expensing Discards Auditable Information
XRD, XAD, and software development costs are actual cash outlays — payroll, vendor invoices, contractor payments — recorded in the income statement and traceable to ledger entries. Immediate expensing has two effects. It depresses current operating profit relative to economic profit whenever the expenditure stream is growing, and it omits the accumulated stock of self-created intangible capital from the asset base. Both the numerator and the denominator of any profit-rate indicator are misstated, and the distortion is systematic, not random.
The remedy is mechanical: capitalize the observed outlays at historical cost and amortize them — a perpetual inventory applied to expenditure flows. No valuation judgment enters the construction. The inputs are audited transactions; the output is a cost basis. The algebra is in Appendix A.1, where I show that the flow adjustment to profits nets to zero in the steady state while the asset base rises permanently, so the measured profit rate falls toward its economic value.
3. Position Two: SNA Intangibles Manufacture Unauditable Information
The SNA 2008 classifies IPP as gross fixed capital formation. In the textbook case, the entry would record domestic R&D production. In the empirically dominant case for small open economies, the entry records the transfer value of relocated legal ownership — an intra-group valuation of an IP portfolio migrated for tax purposes. The Irish 2015 episode is the paradigm: the GDP surge reflected no domestic R&D payroll, no invoices, no production — only a self-declared valuation of migrated ownership, produced by the very transfer pricing apparatus whose outputs are unverifiable by construction.
There is no cost basis to audit. The recorded magnitude is mark-to-model, and the model belongs to the taxpayer. Where Position One complains that accounting convention discards
observable information, Position Two complains that national-accounts convention manufactures unobservable information.
4. The Reconciliation
Stated compactly: capitalization of observed cost flows is admissible; capitalization of declared asset values is not. The two positions apply the same evidentiary criterion — traceability to observable transactions — and reach opposite conclusions because the underlying data differ in kind, not because the principle wavers.
This is the same criterion that positions the perpetual inventory method (PIM) as a reliable cost basis rather than a rival to present value. A perpetual inventory of R&D outlays is exactly the auditable construction; the SNA’s IPP transfer entries are present-value assertions smuggled into the capital account.
5. A Sharper Implication: The Valuation Excess
The two critiques jointly imply a measurable object. If accumulated cost is the admissible capitalization and declared transfer value is the recorded one, their difference is the valuation excess — the part of the national-accounts entry with no expenditure counterpart. Cost-based capitalization would simultaneously correct the firm-level understatement of profits and expose the national-accounts overstatement of output. Appendix A.2 formalizes the point and identifies the valuation excess as the wedge that moved through the Irish accounts in 2015.
The prescription for both literatures is the same. Trust the ledger; distrust the appraisal.
Appendix A. Algebra
A.1 Cost-based capitalization of expensed intangibles
Let X(t) denote the observed intangible outlay in period t (XRD, XAD, or capitalized software development), and let δ be the amortization rate, 0 < δ < 1. The perpetual inventory of costs is the forced first-order linear difference equation:
(1)\quad K(t)=X(t)+(1-\delta)K(t-1)
with solution by superposition:
(2)\quad K(t)=(1-\delta)^tK(0)+\sum_{s=0}^{t-1}(1-\delta)^sX(t-s)Under a stationary outlay stream X(t) = X for all t, the stock converges to the steady state:
(3)\quad K^*=\frac{X}{\delta}Reported operating profit P expenses the outlay in full. The cost-capitalized restatement adds back the expensed outlay and deducts amortization of the accumulated stock:
(4)\quad P'(t)=P(t)+X(t)-\delta K(t-1)
In the steady state, δ K* = δ (X / δ) = X, so P' = P: the flow adjustment nets to zero. The correction operates through the denominator. With A the reported asset base, the profit rate restates as:
(5)\quad r=\frac{P}{A}
\;\longrightarrow\;
r'=\frac{P'}{A+K}so that, in the steady state, r' = P / (A + K*) < r. Reported profit rates on intangible-intensive firms are overstated relative to their cost-capitalized values — equivalently, the asset base is understated — and the understatement of the balance sheet is what makes the income statement misleading. Off the steady state, with outlays growing at rate g, the flow adjustment X(t) - δ K(t-1) > 0, so reported profit itself is understated in addition to the asset base. Every entry in this construction — X(t), δ, K(t) — is either an audited transaction or a stated amortization policy. No appraisal enters.
A.2 The valuation excess in the national accounts
Consider an IP portfolio developed under the cumulative cost history {X(s)}, with cost-basis stock K(T) as in A.1. Suppose legal ownership is transferred to jurisdiction j at declared value V. Under SNA 2008, jurisdiction j records gross fixed capital formation of V, and GDP in j rises accordingly:
(6)\quad \Delta\mathrm{GDP}(j)=VThe admissible, transaction-traceable magnitude is the cost basis K(T). Define the valuation excess:
(7)\quad E=V-K(T)
E is the part of the national-accounts entry with no expenditure counterpart anywhere in the consolidated group’s ledgers. It is precisely the output of the taxpayer’s valuation model — discount rates, projected royalty streams, assumed useful lives — none of which is auditable against transactions. When V is large relative to the recipient economy, ΔGDP(j) = V produces the leprechaun signature: recorded output growth of 26.3% (Ireland, 2015) against real domestic growth estimated at 4% to 6%.
The decomposition V = K(T) + E separates the two critiques cleanly. Recording K(T) would be cost-based capitalization — admissible under Position One, and small. Recording V records K(T) plus the unauditable appraisal E — inadmissible under Position Two, and in the tax-motivated cases, E dominates. The contradiction dissolves: both positions demand that the capital account contain only magnitudes traceable to transactions.
References
Aitken, A. C. (1935). On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42-48. Canonical reference for least-squares estimation.
Goldsmith, R. (1951). A perpetual inventory of national wealth. Studies in Income and Wealth, Vol. 14. NBER. Transposition of the perpetual inventory to national-wealth estimation; the difference-equation structure predates economics.
United Nations et al. (2009). System of National Accounts 2008. New York. Classifies intellectual property products as produced fixed assets.
Central Statistics Office (2016). National Income and Expenditure 2015. Dublin. Source of the revised 26.3% Irish GDP growth figure.