Capital Productivity Bridge

See whether operating contribution changed because more capital was deployed, capital generated more revenue, or revenue converted at a different contribution margin.

About this diagnostic

Compare operating capital, revenue, and operating contribution across two periods. The bridge separates contribution movement into capital deployed, capital turnover, and contribution margin effects, while showing the resulting change in return on capital. Use a consistent definition of operating or invested capital and operating contribution in both periods. NOPAT can be used as the contribution measure when applied consistently. For more information, visit our Corporate Finance & Strategy practice.

Capital economics

Capital conversion path

Follow capital through revenue generation and contribution conversion in each period.

Operating capital

Capital turnover

Revenue

Contribution margin

Operating contribution

Contribution movement

Select a mechanism to inspect its financial effect

Selected mechanism

Forward capital economics

Demand, deployment timing, turnover, and the required return are evaluated together.

Revenue recovered $1.79M Revenue served above the existing-capital case

Peak revenue shortfall $158K $658K without added capital

Required return charge $169K Applied only while added capital is deployed

Net economic value +$228K Payback in M4

Monthly capital path

Added capital creates value only when deployed capacity serves revenue above the existing-capital case.

Month Revenue demand Added capital deployed Recovered revenue Required return Cumulative economic value

Operating thresholds

Minimum demand growth 14.6% Required for non-negative in-horizon economic value

Minimum incremental turnover 0.78x Required at the entered demand and margin assumptions

Minimum incremental margin 12.2% Required at the entered demand and turnover assumptions

Maximum capital addition $7.88M Largest commitment preserving non-negative value inside the horizon

What changed

CAPITAL PRODUCTIVITY BRIDGE: ILLUSTRATIVE DEFAULT RECORD OBSERVED PERIODS Period A operating capital: $20,000,000 Period B operating capital: $24,000,000 Period A revenue: $30,000,000 Period B revenue: $38,000,000 Period A operating contribution: $6,000,000 Period B operating contribution: $8,360,000 Capital turnover: 1.50x → 1.58x Contribution margin: 20.0% → 22.0% Return on capital: 30.0% → 34.8% Operating contribution movement: +$2,360,000 OBSERVED CONTRIBUTION BRIDGE Capital deployed effect: +$1,200,000 Capital turnover effect: +$400,000 Contribution margin effect: +$760,000 FORWARD CAPITAL ASSUMPTIONS Period B length: 12 months End-of-horizon revenue demand growth: 25.0% Existing capital turnover ceiling: 1.65x Planned capital addition: $3,000,000 Activation month: M2 Deployment ramp: 2 months Incremental capital turnover: 2.00x Incremental contribution margin: 25.0% Required annual return on added capital: 15.0% Activation cost: $50,000 Forward horizon: 6 months FORWARD CAPITAL RESULT Existing-capital monthly revenue capacity: $3,300,000 Fully deployed added monthly revenue capacity: $500,000 Revenue recovered across horizon: $1,787,500 Incremental operating contribution: $446,875 Required return charge: $168,750 Activation cost: $50,000 Net economic value: +$228,125 Peak monthly revenue shortfall without added capital: $658,333 Peak monthly revenue shortfall with added capital: $158,333 Economic payback: M4 OPERATING THRESHOLDS Minimum demand growth for non-negative in-horizon value: 14.6% Minimum incremental capital turnover: 0.78x Minimum incremental contribution margin: 12.2% Maximum planned capital addition preserving non-negative in-horizon value: $7,876,543 METHOD STATUS Management-entered assumptions. The observed bridge uses capital deployed, capital turnover, and contribution margin to reconcile Period A operating contribution to Period B operating contribution. The forward analysis starts from the Period B monthly revenue run rate. Revenue demand grows linearly to the entered end-of-horizon growth rate. Existing-capital revenue capacity equals Period B capital multiplied by the entered practical turnover ceiling divided by the Period B length. Planned added capital begins in the entered activation month and ramps linearly to full deployment over the entered deployment-ramp period. Added revenue capacity equals deployed added capital multiplied by the entered incremental turnover divided by the Period B length. Recovered revenue is revenue served with the added capital less revenue served by the existing capital alone. Incremental contribution equals recovered revenue multiplied by the entered incremental contribution margin. The management-entered required annual return is applied monthly to deployed added capital as an economic charge. The activation cost is charged when the capital addition activates. Net economic value equals incremental contribution less the required return charge and activation cost. No external turnover, return, margin, demand-growth, or capital-productivity benchmark is used.

Capital Productivity
Bridge

Capital Productivity Bridge

Analyze whether the change in operating return came from deploying more capital, generating more revenue from that capital, or converting revenue at a different contribution rate between two periods.

Capital Productivity Bridge

Outcomes Defined by Impact

Capital Productivity Bridge

Capital Productivity Bridge

Analyze whether the change in operating return came from deploying more capital, generating more revenue from that capital, or converting revenue at a different contribution rate between two periods.

Outcomes Defined by Impact

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Capital Productivity
Bridge