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Compound Annual Growth Projection Model

To provide a real-time visualization of economic and financial data, our counters use a conventional mathematical projection model. This page explains the model used for indicators that grow year-over-year, such as Gross Domestic Product (GDP).

The Formula: Discrete Annual Compounding with Linear Intra-Year Interpolation

We apply discrete annual compounding for complete years elapsed, then use linear interpolation for the fraction of the current year that has passed.

Continuous Growth Formula
Value(t)=Valuebase×(1 + r)n×(1 + r · f)

Limitations

It is crucial to understand that this counter is a visualization of a projection, not a live transactional measurement.

Models are not reality

Economic growth is not perfectly continuous; it fluctuates daily based on countless real-world events.

Cannot foresee crises

The growth rate is a past annual estimate. It cannot account for sudden crises or booms that have occurred since the data was published by our sources.

Data lag

Official data from primary sources often has a 1-2 year reporting lag. This model projects forward from the last known official data point.

This counter is an educational tool designed to visualize the scale of economic change, based on the latest available data and a transparent, defensible projection method.

Authoritative References

Discrete annual compounding is the canonical approach used by IMF World Economic Outlook and World Bank projection notes for medium-term GDP forecasting.

IMF World Economic Outlook

Primary Reference

Uses discrete annual growth rates for country-level GDP projections — the same approach applied here.

IMF World Economic Outlook

World Bank Open Data

Primary Source

Publishes the official annual growth rates and base values used as inputs to this projection.

World Bank GDP Growth Data

Economics Textbooks

Academic Literature

Document discrete compounding as the widely-adopted method for annual economic projections, distinguishing it from continuous compounding models.

Wikipedia — Compound Annual Growth Rate

Reference

Defines CAGR as the rate at which an investment grows from beginning to ending balance over a period, using the discrete compounding formula applied in this model.

Wikipedia — CAGR

Statistics using this model

World Population

Active
Population(t) = 8.16B × (1 + 0.87%)^n

Base value (2024)

WB SP.POP.TOTL — UN Population Division

SP.POP.TOTL

Growth rate (annualized)

WB SP.POP.TOTL — historical series

SP.POP.TOTL (historical)

2024: 8.16B → 2026 projected: 8.30B

View live counter

Global GDP

Active
GDP(t) = $110.4T × (1 + 2.6%)^n

Base value (2024)

WB NY.GDP.MKTP.CD

NY.GDP.MKTP.CD

Growth rate (annualized)

IMF World Economic Outlook

IMF WEO

2024: $110.4T → 2026 projected: $116.2T

View live counter

CO₂ Emissions

Active
CO₂(t) = 41.6 GtCO₂ × (1 + 1.1%)^n

Base value (2024)

EDGAR/JRC + WB EN.GHG.CO2.MT.CE.AR5

EN.GHG.CO2.MT.CE.AR5

Growth rate (annualized)

EDGAR/JRC — historical annual series

EDGAR/JRC

2024: 41.6 GtCO₂ → 2026 projected: 42.5 GtCO₂

View live counter