Index

Negentropic Economics ROI Calculators¶

Purpose: Interactive tools to calculate debt reduction potential through integrity improvements
Audiences: Central banks, treasury departments, economists, policy analysts

Overview¶

These calculators apply the core equations of Negentropic Economics to project economic benefits from institutional integrity improvements.

Available Calculators¶

1. US Federal Reserve Calculator¶

Path: us-federal-reserve/

Purpose: Project US federal debt reduction through MII improvements

Inputs: - Current debt ($37T default) - Current interest rate (3.2% default) - Baseline MII estimate (0.32 default) - Target MII (0.50-0.95) - Implementation timeline (1-10 years)

Outputs: - Annual debt reduction (\(B) - Interest rate reduction (%) - Cumulative savings (\)T) - ROI calculation

Files: - calculator.xlsx — Excel spreadsheet - methodology.md — Calculation methodology

2. Generic Country Template¶

Path: generic-country/

Purpose: Adaptable calculator for any national context

Inputs: - National debt (local currency) - Sovereign bond yield (%) - Governance indicators (World Bank WGI) - Target MII improvement

Outputs: - Projected debt reduction - Interest savings - Implementation ROI

Files: - calculator-template.xlsx — Customizable template - country-adaptation-guide.md — Customization instructions

3. City-Level Pilot Calculator¶

Path: city-level/

Purpose: Calculate ROI for municipal-scale pilot programs

Inputs: - Pilot population - Duration (months) - Per-capita cost - Expected participation rate

Outputs: - Total pilot cost - Expected MII improvement - Scalability projections - Cost-benefit analysis

Files: - pilot-calculator.xlsx — Pilot ROI calculator - boulder-case-study.md — Example calculation

Core Equations¶

Interest-Entropy Relationship¶

r = αS + βR + γ(1 - C)

Where:
- r = interest rate
- S = governance entropy (0-1)
- R = default risk (0-1)
- C = coordination efficiency (0-1)
- α, β, γ = calibration constants

Calibrated Values (2008-2024 data): - α = 0.042 - β = 0.031 - γ = 0.027

Negentropy-Debt Reduction¶

ΔD = λN = λkI

Where:
- ΔD = debt reduction
- N = negentropy created
- I = MII improvement
- λ = 0.12 (calibrated)
- k = 2.3 × 10^10 (calibrated)

Interest Savings¶

Interest_Savings = Debt × Δr

Where:
- Δr = α × ΔS = α × ΔMII

Usage Instructions¶

Excel Calculators¶

1. Download the appropriate .xlsx file
2. Enter your parameters in the yellow input cells
3. Review results in the green output cells
4. Adjust scenarios as needed
5. Export PDF for stakeholder presentations

Web Calculators (Coming Soon)¶

Interactive versions at: calculator.mobius.systems

Example Calculations¶

US Federal Reserve Scenario¶

Inputs:

Debt: $37,000,000,000,000
Interest Rate: 3.2%
Baseline MII: 0.32
Target MII: 0.50
Timeline: 5 years

Outputs:

Year 1:
  MII: 0.36 (+0.04)
  Interest Rate: 3.0% (-0.2%)
  Annual Savings: $74B

Year 3:
  MII: 0.44 (+0.12)
  Interest Rate: 2.5% (-0.7%)
  Cumulative Savings: $296B

Year 5:
  MII: 0.50 (+0.18)
  Interest Rate: 2.2% (-1.0%)
  Cumulative Savings: $520B

5-Year ROI: 1,040:1

Boulder Pilot Scenario¶

Inputs:

Population: 100,000
Duration: 6 months
Per-Capita Cost: $0.15/day
Participation Rate: 70%

Outputs:

Total Cost: $275,000 × 6 = $1.65M
Participants: 70,000
Reflections: 70,000 × 180 = 12.6M
Expected MII Lift: +0.05
Scalability Factor: 3,250× (to national)

Methodology¶

Data Sources¶

Validation¶

All calculators have been validated against: - 2008-2024 historical data (50+ countries) - Cross-validation with independent models - Academic peer review

Limitations¶

1. Projections, not guarantees — Results are estimates based on historical correlations
2. Calibration uncertainty — λ and k have confidence intervals
3. Implementation assumptions — Assumes successful deployment
4. External factors — Cannot account for all economic variables

Customization¶

Adding New Countries¶

1. Gather required data (debt, rates, governance indicators)
2. Open generic-country/calculator-template.xlsx
3. Enter country-specific parameters
4. Adjust calibration if regional data available
5. Validate against historical trends

Modifying Equations¶

For advanced users: 1. Access the formula cells (password: mobius) 2. Adjust coefficients based on your research 3. Document changes in custom-methodology.md 4. Validate against known outcomes

Integration¶

Excel Add-In (Coming Soon)¶

Direct integration for: - Real-time data feeds - Automatic updates - Multi-scenario comparison

API Access¶

For programmatic access:

curl -X POST https://api.mobius.systems/calculator \
  -H "Content-Type: application/json" \
  -d '{"debt": 37e12, "rate": 0.032, "mii": 0.32, "target": 0.50}'

Response:

{
  "annual_savings": 74000000000,
  "rate_reduction": 0.002,
  "5_year_total": 520000000000,
  "roi": 1040
}

Support¶

Questions: economics@mobius.systems
Custom calculations: Available upon request
Training: Webinars available monthly

Citation¶

@software{mobius2025calculator,
  title={Negentropic Economics ROI Calculator},
  author={Judan, Michael},
  year={2025},
  publisher={Mobius Systems},
  url={https://github.com/kaizencycle/Mobius-Substrate}
}

License¶

All calculators released under CC0 1.0 Universal (Public Domain).

Use freely, adapt as needed, cite generously.

"The wealthiest people in the future will not be those who extract value, but those who create order."