Catalytic Metrics Calculator

Unified Architecture for Catalytic Capital

Calculate the key UACC metrics: Catalytic Leverage (L_cat), Temporal Smoothing (τ_smooth), Replicability Index (R_eff), and System Value Multiplier (SVM).

Load example:

Capital Stack

Catalytic Capital: $25.0M

$1M$5B

Crowded-In Capital: $75.0M

$0$10B

Temporal Alignment

Capital Horizon: 15 years

Mission Cycle: 20 years

Replicability

Successful Replications

Replication Attempts

Recycling / System Value

Recycling Rate (R): 85%

Number of Cycles (N): 6

Calculated Metrics

Catalytic LeverageL_cat

4.00×

Ratio of total capital mobilized to catalytic capital deployed

L_cat = (C_catalytic + C_crowded_in) / C_catalytic

Temporal Smoothingτ_smooth

75%

How well capital horizon matches mission cycle requirements

τ_smooth = T_capital / T_mission

Replicability IndexR_eff

75%

Success rate of adapting the structure to new contexts

R_eff = Successful Replications / Replication Attempts

System Value MultiplierSVM

4.15×

Total impact per dollar of initial catalytic capital

SVM = (1 - R^N) / (1 - R)

Total System ValueTSV

$103.8M

Cumulative value created over all cycles

TSV = C_0 × SVM

Total Capital MobilizedC_total

$100.0M

Sum of catalytic and crowded-in capital

C_total = C_catalytic + C_crowded_in

Quality Benchmarks

L_cat (Catalytic Leverage)Excellent: 4×+ | Good: 2.5×+

τ_smooth (Temporal Smoothing)Excellent: 80%+ | Good: 60%+

R_eff (Replicability)Excellent: 70%+ | Good: 50%+

SVM (System Value Multiplier)Excellent: 10×+ | Good: 5×+

About These Metrics

These metrics come from the Unified Architecture for Catalytic Capital (UACC) framework. They provide a standardized way to evaluate and compare blended finance structures. Higher scores indicate more effective use of catalytic capital.

Read the UACC Explainer →