System Value Multiplier Explorer

Deep dive into the mathematics behind PSC's amplification effect. Explore how recycling rates translate to system-wide impact multipliers.

Recycling Rate (R): 80%

30%98%

Time Horizon: 30 years

Show theoretical limit

Theoretical SVM

5.00×

Formula: 1 / (1 - 80%)

Practical SVM (30yr)

4.99×

99.9% of theoretical captured

Impact Example

A $100K gift with R=80% deploys $499K over 30 years.

SVM = 1 + R + R² + R³ + ... = 1/(1-R)

Each cycle, R% of capital returns. The sum of this geometric series gives total impact.

At R=80%, you need 21 cycles to capture 99% of theoretical SVM.

SVM grows exponentially as R approaches 100%. Moving from 80% to 90% R doubles the multiplier (5× to 10×).

Most impact (90%+) is captured within 20-30 years for typical R factors. The theoretical limit is approached asymptotically.

R Factor	Theoretical SVM	10yr SVM	30yr SVM	Years to 90%
50%	2.00×	2.00×	2.00×	4
60%	2.50×	2.48×	2.50×	5
70%	3.33×	3.24×	3.33×	7
80%	5.00×	4.46×	4.99×	11
90%	10.0×	6.51×	9.58×	22
95%	20.0×	8.03×	15.7×	45