👋 Hello World: Your First Equity Bridge

The Simplest Example - 2 Periods, 3 Source Terms

START HERE - 2 Minutes

🎯 What You'll Learn

This is the simplest possible equity bridge. If you understand this example, you understand the entire framework. We'll walk through:

Opening equity → Closing equity reconciliation
Three source terms: Net Income, Dividends, OCI
The fundamental equation: ΔE = P + O + Owner
XBRL tags that contain this data in real filings

Time required: 2 minutes
Math difficulty: Addition and subtraction only

Start with Two Balance Sheets

Company XYZ has equity at the beginning and end of the year:

Dec 31, 2023

$1,000

Opening Equity (E₀)

Dec 31, 2024

$1,150

Closing Equity (E₁)

Question: Equity increased by $150. Where did it come from?

📊 XBRL TAGS (where this data lives in SEC filings):

us-gaap:StockholdersEquity contextRef="FY2023" contextRef="FY2024"

↓

Identify All Source Terms

The equity bridge decomposes the $150 change into explicit source terms:

Source Term	Amount	Sign	IFRS/GAAP Standard
P - Net Income (Profit or Loss)	+$200	Increases equity	IAS 1.106(a)
O - Other Comprehensive Income	$0	(None this period)	IAS 1.82
Owner - Dividends Paid	-$50	Decreases equity	IAS 1.107
Total Change (ΔE)	+$150	$200 - $50 + $0 = $150 ✓

📊 XBRL TAGS:

us-gaap:NetIncomeLoss us-gaap:OtherComprehensiveIncomeLossNetOfTax us-gaap:PaymentsOfDividends

↓

Verify the Equity Bridge Equation

The equity bridge formula states that equity change equals all source terms:

ΔE = E₁ - E₀

ΔE = P + O + Owner

$150 = $1,150 - $1,000

$150 = $200 + $0 + (-$50)

$150 = $150

✓ Reconciled!

The equity bridge closes when all source terms are accounted for. No gaps, no magic.

🎉 Congratulations!

You just validated your first equity bridge. This is exactly what the framework does for 500 S&P 500 companies across 2,000 quarterly filings.

The only difference: Real companies have 51 possible source terms (see full taxonomy), not just 3.

🚀 What's Next?

Now that you understand the basic mechanics, you can explore:

Complete Proof: All 51 source terms with IFRS/GAAP citations
For Students: Why A=L+E works, answered mathematically
Multi-Entity: How consolidation works (parent + subsidiaries)

Remember: If you can do this 3-term example, you can understand the 51-term version. It's the same structure, just more sources.

💡 The Big Picture

This simple example illustrates the core insight of the accounting conservation framework:

"Every dollar of equity change has an explicit source mandated by IFRS/GAAP."

Traditional accounting teaching shows ΔE = $150 and stops there. The framework asks: "What are the 51 IFRS/GAAP terms that sum to $150?" This decomposition enables:

Automated validation: Flag filings where source terms don't sum to ΔE
Gap detection: Identify missing OCI, undisclosed dividends, NCI errors
Audit efficiency: 2-minute validation vs. 6-12 hours manual tracing