Ohlson Clean Surplus & Information Dynamics Lab

Implement James Ohlson's (1995) seminal Clean Surplus Valuation Model with Linear Information Dynamics (LID). Value equity from fundamental accounting variables, model abnormal earnings persistence ($omega$), quantify non-accounting information signals ($v_t$), and analyze long-run economic rent decay.

Ohlson (1995) Model Linear Information Dynamics Clean Surplus Accounting Abnormal Earnings Persistence Empirical Valuation
Industry & Moat Archetypes:
1. Accounting & Information Parameters
Current Accounting Baseline (Per Share)
$
$
%
%
Linear Information Dynamics (LID)
0.70
Degree to which competitive advantages protect current excess returns ($0 le omega < 1$).
$
Non-accounting value signal.
Persistence of non-accounting info.
2. Intrinsic Value & Ohlson Decomposition
FAIR VALUE COMPUTED
Implied Share Price
$35.42
P/B = 1.42x
Current Book Value
$25.00
70.6% of Value
Abnormal Earnings
+$2.50
ROE 20.0% vs r 10%
Other Info Value
+$4.49
α2 = 5.98
Ohlson (1995) Value Component Decomposition
Valuation Pillar Formula / Source Unit / Base Multiplier Value / Share % Total
1. Book Value of Equity B_t (Clean Surplus Anchor) $25.00 1.000 $25.00 70.6%
2. Capitalized Abnormal Earnings α1 × x_t^a +$2.50 2.333 +$5.83 16.5%
3. Capitalized Other Information α2 × v_t +$0.75 5.989 +$4.49 12.7%
Total Ohlson Share Price (P_t) B_t + α1 × x_t^a + α2 × v_t - - $35.42 100.0%
Abnormal Earnings Multiplier: α1 = ω / (1 + r - ω) = 2.33
Other Info Multiplier: α2 = (1+r) / [(1+r-ω)(1+r-γ)] = 5.99
3. 10-Year Information & Abnormal Profit Decay
Convergence Path: Shows how abnormal earnings ($x_t^a$, green line) and other information ($v_t$, purple line) decay over time toward zero as competitive market forces erode excess returns. Book value of equity ($B_t$, blue bars) grows via Clean Surplus accounting as retained earnings accumulate.
4. 10-Year Clean Surplus Trajectory Schedule
Per-Share Schedule
Year Book Val ($B_t$) Earnings ($x_t$) Abnormal ($x_t^a$) Other ($v_t$) Fair Price ($P_t$)
Clean Surplus Identity: $B_{t+1} = B_t + ext{Earnings}_{t+1} - ext{Dividends}_{t+1}$. Note how $P_t$ converges toward $B_t$ as abnormal returns fade.
5. Sensitivity: Persistence (ω) vs. Cost of Equity (r) on Fair Price ($)
Demonstrates how competitive moat strength ($omega$) interacts with investor hurdle rates ($r$) to dictate fair share price.
6. Sensitivity: Other Info Signal ($v_t$) vs. Decay (γ) on Value Premium ($)
Evaluates the market value premium over book value ($Delta P = P_t - B_t$) across different non-accounting signal strengths and persistence levels.
7. Linear Information Dynamics & Clean Surplus Theory
The Ohlson (1995) Valuation Framework

Published in Contemporary Accounting Research (Spring 1995), James A. Ohlson revolutionized fundamental valuation by establishing a closed-form connection between financial statements and equity value. Classical dividend discount models rely on infinite forecasts of cash payouts, which are discretionary and obscure economic value creation. Ohlson proved that if accounting satisfies the Clean Surplus Relation (CSR):

$$B_t = B_{t-1} + x_t - d_t$$

and future expected earnings follow Linear Information Dynamics (LID):

$$x_{t+1}^a = omega x_t^a + v_t + epsilon_{1, t+1}, quad 0 le omega < 1$$ $$v_{t+1} = gamma v_t + epsilon_{2, t+1}, quad 0 le gamma < 1$$

Then equity value is solved analytically without forecasting terminal values:

$$P_t = B_t + alpha_1 x_t^a + alpha_2 v_t$$
Economic Interpretation of Valuation Multipliers

The closed-form multipliers $alpha_1$ and $alpha_2$ reveal the deep structural determinants of valuation multiples:

  • Abnormal Earnings Multiplier ($alpha_1$): $$alpha_1 = rac{omega}{1 + r - omega}$$ When $omega o 0$ (perfect competition / zero barriers to entry), abnormal earnings vanish instantly ($alpha_1 = 0$), and the firm trades exactly at Book Value ($P_t = B_t$). When $omega o 1$ (unassailable monopoly), $alpha_1 o 1/r$, capitalizing abnormal earnings as a perpetuity.
  • Other Information Multiplier ($alpha_2$): $$alpha_2 = rac{1 + r}{(1 + r - omega)(1 + r - gamma)}$$ Measures how strongly non-financial statement information (order book, clinical trial results, macroeconomic shifts) impacts market prices before being recognized in reported GAAP net income.

Empirical Relevance: The Ohlson model forms the theoretical backbone for modern empirical accounting research on Earnings Response Coefficients (ERC), accounting conservatism, and intangible asset valuation.

8. Ohlson Model Self-Assessment Mastery Quiz
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10. Frequently Asked Questions (FAQ)

The Ohlson (1995) Clean Surplus Model, formulated by Professor James A. Ohlson, provides a mathematically rigorous bridge between accounting data (book value, earnings, dividends) and stock market prices. Under Clean Surplus Accounting (B_t = B_{t-1} + NI_t - D_t) and Linear Information Dynamics, intrinsic equity value equals current book value of equity plus capitalized abnormal earnings and capitalized non-accounting other information: P_t = B_t + alpha1 * x_t^a + alpha2 * v_t.

Linear Information Dynamics (LID) is a stochastic time-series system modeling how economic profitability evolves: (1) Abnormal earnings decay toward zero at persistence rate omega: x_{t+1}^a = omega * x_t^a + v_t + e_{1,t+1}; (2) Non-accounting other information decays at rate gamma: v_{t+1} = gamma * v_t + e_{2,t+1}. This captures competitive erosion of economic rents over time.

The variable v_t captures value-relevant economic information that has not yet been reflected in current accounting earnings or book value. Examples include patent approvals, order backlogs, regulatory decisions, macro indicators, or strategic breakthroughs that will affect future earnings.

A higher persistence parameter omega indicates durable competitive advantages (moats) that prevent abnormal earnings from mean-reverting quickly to the cost of capital. Higher omega increases the abnormal earnings multiplier alpha1 = omega / (1 + r - omega), driving up the justified Price-to-Book ratio and total market value.

Yes. This simulator provides a fully sanitized RFC 4180 compliant CSV export containing model parameters, valuation coefficients, 10-year projected abnormal earnings and book values, and sensitivity matrices with formula injection defense.