Enrollment Projection Calculator Formula

Understand the math behind the enrollment projection calculator. Each variable explained with a worked example.

Use the Enrollment Projection Calculator

Formulas Used

Projected Enrollment

projected_enrollment = ceil(current_enrollment * pow(growth_factor, projection_years))

Enrollment Change

enrollment_change = ceil(current_enrollment * pow(growth_factor, projection_years)) - current_enrollment

Total Change

change_pct = (pow(growth_factor, projection_years) - 1) * 100

Variables

Variable	Description	Default
`current_enrollment`	Current Enrollment	800
`annual_growth_rate`	Annual Growth Rate(%)	2.5
`projection_years`	Years to Project	5
`growth_factor`	Derived value`= 1 + annual_growth_rate / 100`	calculated

How It Works

How to Project Enrollment

Enrollment projections use compound growth to estimate future student populations.

Formula

Projected = Current x (1 + Growth Rate)^Years

A positive rate projects growth; a negative rate projects decline. This exponential model assumes a consistent annual rate, which is a reasonable starting point for 3-5 year projections.

For longer projections, consider demographic analysis, housing developments, and policy changes.

Worked Example

A school with 800 students growing at 2.5% annually, projected 5 years out.

current_enrollment = 800annual_growth_rate = 2.5projection_years = 5

01Growth factor: 1 + 0.025 = 1.025
02Projected: 800 x 1.025^5 = 800 x 1.1314 = 905
03Change: 905 - 800 = 105 students
04Total change: (1.1314 - 1) x 100 = 13.1%

Ready to run the numbers?

Open Enrollment Projection Calculator