Red Tab 002: Freeman Street Mathematical Verification (REPL Appendix)¶
GUARDRAIL: RED — FREEMAN STREET DAMAGES
Freeman Street opportunity-loss damages only. No G21 base damages, no enterprise multipliers.
Purpose & Scope¶
This appendix verifies the math for Freeman Street Studios opportunity‑loss damages (Freeman only). It confirms:
- Category weights sum to 100% across four dollar‑bearing lanes.
- Policy multipliers (Network Effects, COVID Timing) are applied once at the framework level.
- The bridge formula reproduces the section totals $25.0M / $100.0M / $200.0M as set in Tab 001.
Bridge Formula
Section Total = (Σ Category Dollars) × (Network Effects) × (COVID Timing)
Scenario ranges (locked): Conservative = $25.0M • Moderate = $100.0M • Aggressive = $200.0M (Maximum Documented Exposure). These targets, and the framework‑level multipliers, are governed by Tab 001 and reproduced here for verification only.
Weight Integrity (100% allocation; chronological order to match Tab 000 / Tabs 101–104)¶
| Dollar‑Bearing Lane (Category) | Weight |
|---|---|
| Major Label Projects | 30% |
| Grammy Opportunity | 15% |
| Corporate / Enterprise Partnerships | 35% |
| Investment Consortium | 20% |
| TOTAL | 100% |
Rule: Category pages (Tabs 101–104) are evidence repositories. They display weight only and link back to Tab 001 (framework math) and Tab 002 (this verification).
Policy Multipliers (applied once, at framework level)¶
| Scenario | Network Effects | COVID Timing | Combined |
|---|---|---|---|
| Conservative | 1.00 | 1.00 | 1.00 |
| Moderate | 1.05 | 1.10 | 1.155 |
| Aggressive | 1.10 | 1.20 | 1.32 |
Multiplier bands and single‑application rule are set in Tab 001.
Category Dollars by Scenario (pre‑/post‑policy; rows ordered chronologically)¶
Conservative (no multipliers; base = $25.00M)
| Category | Weight | Category $ |
|---|---|---|
| Major Label | 30% | $7.50M |
| Grammy | 15% | $3.75M |
| Corporate | 35% | $8.75M |
| Investment | 20% | $5.00M |
| Σ Category Dollars | 100% | $25.00M |
| × Network (1.00) × COVID (1.00) | — | $25.00M |
Moderate (policy = 1.155; target final = $100.0M)
Base required = $100.0M / 1.155 = $86.580087M → shown as $86.58M
| Category | Weight | Category $ |
|---|---|---|
| Major Label | 30% | $25.97M |
| Grammy | 15% | $12.99M |
| Corporate | 35% | $30.30M |
| Investment | 20% | $17.32M |
| Σ Category Dollars | 100% | $86.58M |
| × Network (1.05) × COVID (1.10) | — | $100.00M |
Aggressive (policy = 1.32; target final = $200.0M)
Base required = $200.0M / 1.32 = $151.515152M → shown as $151.52M
| Category | Weight | Category $ |
|---|---|---|
| Major Label | 30% | $45.45M |
| Grammy | 15% | $22.73M |
| Corporate | 35% | $53.03M |
| Investment | 20% | $30.30M |
| Σ Category Dollars | 100% | $151.52M |
| × Network (1.10) × COVID (1.20) | — | $200.00M |
Row values and totals match the math‑locked framework in Tab 001; only the display order was changed to mirror Tab 000 and the evidentiary sequence (Tabs 101–104).
REPL Verification (copy‑paste runnable examples)¶
JavaScript (Node / browser console)
// Policy multipliers
const net = { cons: 1.00, mod: 1.05, agg: 1.10 };
const covid = { cons: 1.00, mod: 1.10, agg: 1.20 };
// Conservative
const CONS_BASE = 25.0;
const CONS = CONS_BASE * net.cons * covid.cons;
console.log('Conservative = $' + CONS.toFixed(2) + 'M'); // 25.00M ✓
// Moderate
const MOD_TOTAL = 100.0;
const MOD_BASE = MOD_TOTAL / (net.mod * covid.mod); // 100 / 1.155
const MOD = MOD_BASE * net.mod * covid.mod;
console.log('Moderate base = $' + MOD_BASE.toFixed(6) + 'M'); // 86.580087M
console.log('Moderate = $' + MOD.toFixed(2) + 'M'); // 100.00M ✓
// Aggressive
const AGG_TOTAL = 200.0;
const AGG_BASE = AGG_TOTAL / (net.agg * covid.agg); // 200 / 1.32
const AGG = AGG_BASE * net.agg * covid.agg;
console.log('Aggressive base = $' + AGG_BASE.toFixed(6) + 'M'); // 151.515152M
console.log('Aggressive = $' + AGG.toFixed(2) + 'M'); // 200.00M ✓
Python (3.x)
net = {'cons': 1.00, 'mod': 1.05, 'agg': 1.10}
covid = {'cons': 1.00, 'mod': 1.10, 'agg': 1.20}
CONS_BASE = 25.0
CONS = CONS_BASE * net['cons'] * covid['cons']
print(f"Conservative = ${CONS:.2f}M") # 25.00M ✓
MOD_TOTAL = 100.0
MOD_BASE = MOD_TOTAL / (net['mod'] * covid['mod']) # 100 / 1.155
MOD = MOD_BASE * net['mod'] * covid['mod']
print(f"Moderate base = ${MOD_BASE:.6f}M") # 86.580087M
print(f"Moderate = ${MOD:.2f}M") # 100.00M ✓
AGG_TOTAL = 200.0
AGG_BASE = AGG_TOTAL / (net['agg'] * covid['agg']) # 200 / 1.32
AGG = AGG_BASE * net['agg'] * covid['agg']
print(f"Aggressive base = ${AGG_BASE:.6f}M") # 151.515152M
print(f"Aggressive = ${AGG:.2f}M") # 200.00M ✓
Rounding Policy & Reproducibility¶
- Rounding: Dollars shown to $0.01M (±$10K).
- Verification tolerance: Final scenario totals must match within ±$10K due to rounding.
- Reproduction steps:
- Multiply each base by the weight → category dollars;
- Sum categories → Σ Category Dollars;
- Apply Network then COVID multipliers once;
- Confirm totals = $25.0M / $100.0M / $200.0M.
Quick Links (this volume)¶
- Tab 001 — Freeman Street Industry Validation Framework (governs all dollar calculations)
-
Tabs 101–104 — Category Evidence (weights only; no math), in chronological order:
Tab 101 — Major Label (30%) • Tab 102 — Grammy (15%) • Tab 103 — Corporate (35%) • Tab 104 — Investment (20%).
-
Tab 105 — Network Effects Policy • Tab 106 — COVID Timing Policy (multipliers only; applied once in Tab 001).
END — Red Tab 002: Freeman Street Mathematical Verification (REPL Appendix) v2.2