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Bank capital and distribution headroom

Test a proposed dividend against earnings, incremental losses, asset growth, capital buffers and separate liquidity and distribution limits.

Part 9; Appendix 03 §A3.1; workbook Bank Insurance!D16:D23. Fictional internal capital floor, not a statutory minimum. Inputs are illustrative assumptions, not live prices or investment recommendations.

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Scenario and units
Use the same scale for money and share counts. Money divided by shares then gives currency per share.
Capital generation and asset growth
Enter a percentage, for example 10 for 10%.
Independent distribution constraints
Enter a percentage, for example 10 for 10%.
Enter a percentage, for example 10 for 10%.
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Your scenario, step by step.

Fictional teaching case · Illustrative annual period. Currency: KES; money and shares: billion. Prices and per-share results use whole currency units per share. Percentage columns show percentages; discount factors are unitless.

Capital headroom before dividend19.2
Distribution within all entered limits19.2
Proposed dividend above capacity0

Capital and distribution bridge

MeasureValue
Opening eligible capital100
After-tax earnings20
Incremental stress loss0
Capital before dividend120
Closing RWA560
Selected floor plus buffer (%)18
Required retained capital100.8
Capital headroom before dividend19.2
Reviewed cash limit25
Reviewed legal / supervisory limit25
Capacity under entered constraints19.2
Proposed dividend10
Capital after proposed dividend110
Closing capital ratio (%)19.6429
Capital headroom after proposed dividend9.2

Interpret the result.

This single capital-ratio illustration reproduces the workbook mechanics. Its default floor is a fictional internal assumption, not a current statutory rule.

Use the same regulated entity and capital definition throughout. Multiple capital tiers, deductions, leverage limits and supervisor restrictions need separate review.

Loss is incremental to entered earnings. Do not deduct credit losses already included in earnings again. Liquidity and legal limits are independent binding constraints.

Formulae and symbol definitions.

\[ C_1=C_0+E-L-D,\qquad A_1=A_0(1+g_A) \]

Closing capital = opening capital + retained earnings − incremental loss − dividend. Closing RWA grows from the opening risk-weighted asset base.

Closing capital = opening capital + retained earnings − incremental loss − dividend. Closing RWA grows from the opening risk-weighted asset base.

\[ H=C_0+E-L-(r+b)A_1 \]

Capital headroom before dividend deducts the selected minimum and management buffer applied to closing RWA.

Capital headroom before dividend deducts the selected minimum and management buffer applied to closing RWA.

\[ D_{\max}=\max(0,\min(H,Q,J)) \]

Distribution capacity is the nonnegative minimum of capital headroom, cash availability and the entered legal/supervisory ceiling.

Distribution capacity is the nonnegative minimum of capital headroom, cash availability and the entered legal/supervisory ceiling.

SymbolDefinition and units
\(C_0,C_1\)C0, C1Eligible capital before and after the scenario.
\(E,L,D\)E, L, DAfter-tax earnings, additional after-tax loss, and proposed dividend.
\(A_0,A_1\)A0, A1Opening and closing risk-weighted assets.
\(g_A\)gARWA growth rate as a decimal.
\(r,b\)r, bSelected capital ratio and additional buffer, decimals; buffer input is percentage points.
\(H\)HCapital headroom before the proposed dividend; can be negative.
\(Q,J\)Q, JIndependent reviewed liquidity and legal/supervisory distribution limits.
\(D_{\max}\)Maximum distributionCapacity under entered constraints, not a statutory approval.

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