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CFA Level II Exam · Residual Income Valuation

Clean Surplus Relation and Accounting Adjustments in Residual Income

Updated 7 October 2026 · Fact-checked

Clean surplus accounting means every change in equity other than owner transactions passes through net income, so ending book value equals beginning book value plus net income minus dividends. Dirty surplus items, such as translation gains in OCI, break this link. For residual income valuation, use comprehensive income or adjust book value and earnings.

Understand Accounting Issues and Clean Surplus Relation

Residual income (RI) valuation builds value from two parts: today's book value of equity and the present value of future RI. RI is earnings above the charge for the equity capital used. For the model to work, book value and earnings must be linked in a consistent way. That link is the clean surplus relation.

Under clean surplus accounting, the only things that change book value of equity are net income and dividends (net of any share issuance or repurchase). So: ending book value = beginning book value + net income − dividends. All gains and losses go through the income statement.

Real accounting does not always follow this. Dirty surplus items bypass net income and go straight to equity through other comprehensive income (OCI). Common examples are foreign currency translation adjustments, unrealized gains and losses on financial assets measured at fair value through OCI, remeasurements of defined benefit pension plans, effective cash flow hedge gains and losses, and revaluation surplus on property, plant and equipment under IFRS. When these exist, book value changes by more than net income less dividends.

Why it matters: if you value using book value that includes OCI items but earnings that exclude them, the model double counts or misses value. The fix is simple. Use comprehensive income (net income + OCI) in place of net income when you compute RI, so the clean surplus relation holds again.

Beyond dirty surplus, reported numbers may not reflect economic reality. Analysts adjust book value for items such as assets or liabilities not recorded, assets carried far from fair value, and conservative expensing of items that create future benefits. They adjust forecast earnings to remove non-recurring items and to correct for aggressive or conservative accounting choices. The aim is a book value and earnings forecast that are consistent with each other and reflect ongoing operations. Remember that international accounting differences can also make book values hard to compare across companies.

Key formulas to remember

Clean surplus relation
B(t) = B(t−1) + NI(t) − D(t)
B is book value of equity, NI is net income, D is dividends net of issuance and repurchases. Holds only if no dirty surplus items exist.
Book value with dirty surplus
B(t) = B(t−1) + NI(t) + OCI(t) − D(t)
OCI is the dirty surplus amount that goes directly to equity.
Comprehensive income
CI(t) = NI(t) + OCI(t)
Use CI in place of NI so that the clean surplus relation is restored.
Residual income
RI(t) = E(t) − r × B(t−1)
E is earnings (use comprehensive income when dirty surplus exists), r is the required return on equity, B(t−1) is beginning book value.
Residual income value of equity
V0 = B0 + Σ RI(t) ÷ (1 + r)^t
B0 should be the adjusted book value; RI should be built from adjusted earnings.

How to solve Accounting Issues and Clean Surplus Relation questions

Use this method when a vignette gives book value, income, OCI items and asks about clean surplus, adjustments or value.

  1. 1Scan the vignette and exhibits for book value, net income, dividends, OCI items, share issuance or repurchases, and the required return.
  2. 2Test the clean surplus relation: compute beginning book value + net income − dividends and compare with reported ending book value. A gap equals dirty surplus (OCI or other direct equity items).
  3. 3Identify each direct-to-equity item and label it as dirty surplus, for example translation adjustments, FVOCI gains, pension remeasurements, cash flow hedge gains, revaluation surplus.
  4. 4Decide the fix: replace net income with comprehensive income in the RI calculation, or adjust book value and earnings for the analytical issues described.
  5. 5Adjust book value for items the vignette says are unrecorded or misstated, such as liabilities omitted or assets far below fair value. Add assets, subtract liabilities.
  6. 6Adjust forecast earnings to remove non-recurring items and to be consistent with the adjusted balance sheet.
  7. 7Compute RI = earnings − r × beginning adjusted book value, then discount and add to adjusted book value.
  8. 8Check that the answer direction makes sense: a lower adjusted book value or lower earnings should lower value.

Quickest way: Gap test for dirty surplus

When to use it: When the question asks whether clean surplus holds or how much dirty surplus there is.

  1. Compute expected ending book value = beginning + NI − dividends.
  2. Subtract it from actual ending book value.
  3. A nonzero gap is dirty surplus; its sign is the sign of the OCI items.
  4. If asked for RI, use NI + OCI minus r × beginning book value.

Common mistakes in Accounting Issues and Clean Surplus Relation

  • Treating net income as the only source of change in book value

    Level I style thinking where book value rolls forward with income and dividends only.

    Fix: Always check for OCI items. Roll forward with NI + OCI − dividends, or use comprehensive income in RI.

  • Using reported net income in RI when OCI is large and keeping book value unchanged

    The vignette gives net income prominently and OCI in a footnote.

    Fix: Scan every exhibit for OCI. Use comprehensive income to keep earnings and book value consistent.

  • Subtracting OCI losses twice

    Candidates adjust book value for the OCI item and also deduct it from earnings in the same step.

    Fix: Reported ending book value already contains the OCI item. Include OCI (positive or negative) in comprehensive income, and do not adjust the already-reported book value again for the same item.

  • Applying the equity charge to ending book value

    Confusing the roll-forward with the charge.

    Fix: The equity charge uses beginning-of-period book value: r × B(t−1).

  • Adjusting for unrecorded liabilities by increasing book value

    Sign confusion when treating an adjustment as a positive number.

    Fix: Unrecorded liabilities reduce book value; assets worth more than carrying value increase it. Write the sign before you compute.

  • Forecasting earnings that include one-time gains

    Taking last year's reported earnings as a base without checking recurrence.

    Fix: Strip non-recurring items from the earnings base so RI reflects persistent performance.

Worked examples

Example 1

Vignette: A multinational reports beginning book value of equity of $500 million, net income of $60 million, dividends of $20 million and a foreign currency translation loss of $8 million recorded in OCI. The required return on equity is 10%. Q1. What is ending book value of equity? A. $540 million B. $532 million C. $548 million. Q2. What is residual income using comprehensive income? A. $2 million B. $10 million C. $12 million.

Show the solution
  1. Q1: Clean surplus alone would give 500 + 60 − 20 = 540.
  2. The translation loss goes directly to equity, so actual ending book value = 500 + 60 − 8 − 20 = 532.
  3. The $8 million gap between 540 and 532 is the dirty surplus item.
  4. Q2: Comprehensive income = 60 − 8 = 52.
  5. Equity charge = 10% × 500 = 50.
  6. RI = 52 − 50 = 2.

Answer: Q1: B ($532 million). Q2: A ($2 million). Using net income would show RI of $10 million (60 − 50), overstating performance.

Example 2

Vignette: An analyst values a company by residual income. Reported beginning book value is $400 million. Land is carried $12 million below its fair value, and the analyst finds $20 million of liabilities that are not recorded. Forecast year 1 comprehensive income is $52 million. The required return is 9%. Assume residual income is zero after year 1. Q1. What is adjusted beginning book value? A. $392 million B. $408 million C. $432 million. Q2. What is year 1 residual income using adjusted book value? A. $16.00 million B. $16.72 million C. $24.00 million. Q3. What is the estimated equity value? A. $407.34 million B. $414.68 million C. $408.72 million.

Show the solution
  1. Q1: Adjusted book value = 400 + 12 − 20 = 392.
  2. Q2: Equity charge = 9% × 392 = 35.28.
  3. RI1 = 52 − 35.28 = 16.72.
  4. Q3: Present value of RI1 = 16.72 ÷ 1.09 = 15.339.
  5. Value = 392 + 15.339 = 407.34.
  6. Check: using unadjusted book value gives 400 + (52 − 36) ÷ 1.09 = 400 + 14.679 = 414.68, so the adjustments lower value by about $7.34 million.

Answer: Q1: A ($392 million). Q2: B ($16.72 million). Q3: A ($407.34 million).

Exam tips

  • In the vignette, look for OCI lines, translation adjustments, hedge reserves and revaluation surplus. These signal a dirty surplus question.
  • When a question gives both net income and OCI, expect the answer to use comprehensive income for RI.
  • Write the sign of each book value adjustment before calculating. Liabilities reduce, undervalued assets increase.
  • Remember the equity charge uses beginning book value, and use adjusted book value if the vignette tells you to adjust.
  • Conceptual questions often ask why a violation matters: earnings and book value become inconsistent, so RI can misstate value.

Accounting Issues and Clean Surplus Relation: frequently asked questions

What is the clean surplus relation?

It says ending book value of equity equals beginning book value plus net income minus dividends. Every change in equity other than owner transactions flows through net income. The residual income model relies on this link.

What are examples of dirty surplus items?

Common examples are foreign currency translation adjustments, unrealized gains or losses on assets measured at fair value through OCI, pension remeasurements, effective cash flow hedge gains or losses and revaluation surplus on property, plant and equipment. They change equity without passing through net income.

How do I fix dirty surplus in residual income valuation?

Use comprehensive income, which is net income plus OCI, when computing residual income. This keeps earnings consistent with the change in book value. You can also adjust book value and earnings so they reflect the same economic items.

How do I adjust book value for the residual income model?

Add assets that are understated, such as assets carried well below fair value. Subtract liabilities that are unrecorded or understated. Then compute the equity charge on this adjusted beginning book value, and adjust forecast earnings to match.