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# APPENDIX A: MATHEMATICAL FORMULAS REFERENCE
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## Complete Reference of All GRU Reserve System Formulas
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**Document Number:** DBIS-GRU-APP-A
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**Version:** 1.0
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**Date:** [Enter date in ISO 8601 format: YYYY-MM-DD]
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**Classification:** CONFIDENTIAL
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**Authority:** DBIS Financial Operations Department
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---
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## PREAMBLE
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This appendix provides a complete reference of all mathematical formulas used in the GRU Reserve System, with detailed explanations, variable definitions, and usage examples.
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---
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## PART I: RESERVE CALCULATION FORMULAS
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### Section 1.1: Total Reserve Value
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**Formula:**
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```
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R_total = Σ(i=1 to n) (R_i × W_i × V_i)
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```
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**Variables:**
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- R_total = Total reserve value (in base currency)
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- R_i = Reserve amount of asset i (in asset's native unit)
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- W_i = Weighting factor for asset i (0.0 to 1.0)
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- V_i = Current market value of asset i (per unit, in base currency)
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- n = Number of asset types
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**Weighting Factors:**
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- XAU (Gold): W_XAU = 1.0 (full weight)
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- Digital Assets: W_DA = 0.8 to 1.0 (based on liquidity and stability)
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- Sovereign Instruments: W_SI = 0.9 to 1.0 (based on credit rating)
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- Other Assets: W_other = As determined by Finance Committee
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**Example Calculation:**
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```
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Given:
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- XAU: 10,000 oz × 1.0 × $2,000/oz = $20,000,000
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- Bitcoin: 100 BTC × 0.9 × $50,000/BTC = $4,500,000
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- US Treasury Bonds: $10,000,000 × 1.0 × 1.0 = $10,000,000
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R_total = $20,000,000 + $4,500,000 + $10,000,000 = $34,500,000
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```
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---
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### Section 1.2: Reserve Ratio
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**Formula:**
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```
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RR = R_total / L_total
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```
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**Variables:**
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- RR = Reserve ratio (dimensionless)
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- R_total = Total reserve value
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- L_total = Total liabilities
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**Minimum Reserve Ratio:**
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- RR_min = 1.0 (100% backing required)
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- Target Reserve Ratio: RR_target = 1.2 (120% backing)
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- Emergency Minimum: RR_emergency = 0.8 (80% backing, triggers emergency procedures)
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**Example:**
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```
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R_total = $34,500,000
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L_total = $30,000,000
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RR = $34,500,000 / $30,000,000 = 1.15 (115% backing)
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Status: Above minimum, below target
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```
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---
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### Section 1.3: Minimum Reserve Requirement
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**Formula:**
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```
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R_min = L_total × RR_min
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```
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**Variables:**
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- R_min = Minimum required reserves
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- L_total = Total liabilities
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- RR_min = Minimum reserve ratio (1.0 or 100%)
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**Example:**
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```
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L_total = $30,000,000
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RR_min = 1.0
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R_min = $30,000,000 × 1.0 = $30,000,000
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```
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---
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## PART II: ASSET VALUATION FORMULAS
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### Section 2.1: Gold (XAU) Valuation
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**Formula:**
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```
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V_XAU = Q_XAU × P_XAU × F_XAU
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```
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**Variables:**
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- V_XAU = Gold reserve value
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- Q_XAU = Quantity of gold (troy ounces)
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- P_XAU = Current gold price (per troy ounce, in base currency)
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- F_XAU = Adjustment factor
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**Adjustment Factor Components:**
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- Purity Factor: F_purity = Actual purity / 0.9999 (for 99.99% pure gold)
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- Location Factor: F_location = 1.0 (allocated) or 0.95-0.98 (unallocated)
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- Storage Factor: F_storage = 1.0 (secure storage) or 0.90-0.95 (other)
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- F_XAU = F_purity × F_location × F_storage
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**Example:**
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```
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Q_XAU = 10,000 oz
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P_XAU = $2,000/oz
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F_purity = 0.9999 / 0.9999 = 1.0
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F_location = 1.0 (allocated)
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F_storage = 1.0 (secure)
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F_XAU = 1.0 × 1.0 × 1.0 = 1.0
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V_XAU = 10,000 × $2,000 × 1.0 = $20,000,000
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```
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---
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### Section 2.2: Digital Asset Valuation
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**Formula:**
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```
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V_DA = Σ(i=1 to n) (Q_DA_i × P_DA_i × L_DA_i)
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```
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**Variables:**
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- V_DA = Total digital asset reserve value
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- Q_DA_i = Quantity of digital asset i
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- P_DA_i = Current price of digital asset i (per unit)
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- L_DA_i = Liquidity factor for asset i (0.0 to 1.0)
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- n = Number of digital asset types
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**Liquidity Factor Calculation:**
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```
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L_DA_i = min(1.0, (24h_volume_i / (Q_DA_i × P_DA_i)) / 0.1)
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```
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Where:
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- 24h_volume_i = 24-hour trading volume for asset i
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- Liquidity factor of 1.0 = Highly liquid (volume > 10% of holding value)
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- Liquidity factor < 1.0 = Less liquid assets discounted
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**Example:**
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```
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Bitcoin:
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Q_BTC = 100 BTC
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P_BTC = $50,000/BTC
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24h_volume = $5,000,000,000
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Holding value = 100 × $50,000 = $5,000,000
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L_BTC = min(1.0, ($5,000,000,000 / $5,000,000) / 0.1) = min(1.0, 1000) = 1.0
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V_BTC = 100 × $50,000 × 1.0 = $5,000,000
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```
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---
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### Section 2.3: Sovereign Instrument Valuation
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**Formula:**
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```
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V_SI = Σ(i=1 to n) (PV_SI_i × C_SI_i)
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```
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**Variables:**
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- V_SI = Total sovereign instrument value
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- PV_SI_i = Present value of instrument i
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- C_SI_i = Credit adjustment factor for instrument i (0.0 to 1.0)
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- n = Number of instruments
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**Present Value Calculation:**
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```
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PV_SI = Σ(t=1 to T) (CF_t / (1 + r)^t) + FV / (1 + r)^T
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```
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Where:
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- CF_t = Cash flow at time t
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- r = Discount rate (yield to maturity or risk-free rate + credit spread)
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- FV = Face value
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- T = Maturity
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**Credit Adjustment Factor:**
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- AAA rating: C = 1.0
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- AA rating: C = 0.98
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- A rating: C = 0.95
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- BBB rating: C = 0.90
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- Below BBB: C = 0.70-0.85 (based on specific rating)
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**Example:**
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```
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US Treasury Bond:
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Face Value = $1,000,000
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Coupon = 3% annually
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Maturity = 5 years
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Yield = 2.5%
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Rating = AAA (C = 1.0)
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PV = Present value calculation = $1,022,000 (approximately)
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V_SI = $1,022,000 × 1.0 = $1,022,000
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```
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---
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## PART III: CONVERSION FORMULAS
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### Section 3.1: Direct Conversion
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**Formula:**
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```
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C_direct = Q_source × (P_source / P_target)
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```
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**Variables:**
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- C_direct = Direct conversion amount (in target asset units)
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- Q_source = Quantity of source asset
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- P_source = Price of source asset (per unit)
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- P_target = Price of target asset (per unit)
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**Example:**
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```
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Convert 1 Bitcoin to Ethereum:
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Q_source = 1 BTC
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P_source = $50,000/BTC
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P_target = $3,000/ETH
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C_direct = 1 × ($50,000 / $3,000) = 16.67 ETH
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```
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---
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### Section 3.2: XAU Triangulation Conversion
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**Formula:**
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```
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C_tri = Q_source × (P_source / P_XAU) × (P_XAU / P_target)
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```
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**Variables:**
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- C_tri = Triangulation conversion amount
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- Q_source = Quantity of source asset
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- P_source = Price of source asset
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- P_XAU = Current XAU price
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- P_target = Price of target asset
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**Example:**
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```
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Convert $100,000 USD to Bitcoin via XAU:
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Q_source = $100,000
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P_source = $1.00/USD
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P_XAU = $2,000/oz
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P_target = $50,000/BTC
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C_tri = $100,000 × ($1.00 / $2,000) × ($2,000 / $50,000)
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= $100,000 × 0.0005 × 0.04
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= 2.0 BTC
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```
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---
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### Section 3.3: Conversion Fee Calculation
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**Formula:**
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```
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Fee_total = C_optimal × (F_base + F_slippage + F_large)
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```
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Where:
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- F_base = 0.001 (0.1% base fee)
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- F_slippage = 0.5 × Slippage (if slippage > 0.1%)
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- F_large = 0.0005 (0.05%) if transaction > $1 million
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**Example:**
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```
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Conversion: $2,000,000 USD to XAU
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C_optimal = 1,000 oz XAU
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Slippage = 0.2% (0.002)
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F_base = 0.001
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F_slippage = 0.5 × 0.002 = 0.001
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F_large = 0.0005 (transaction > $1M)
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Fee_total = 1,000 × (0.001 + 0.001 + 0.0005) = 1,000 × 0.0025 = 2.5 oz XAU
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```
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---
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## PART IV: BOND SYSTEM FORMULAS
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### Section 4.1: Bond Present Value
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**Formula:**
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```
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PV = Σ(t=1 to n) (CF_t / (1 + r)^t) + FV / (1 + r)^n
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```
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**Variables:**
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- PV = Present value
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- CF_t = Cash flow (coupon payment) at time t
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- r = Discount rate (yield to maturity)
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- FV = Face value
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- n = Number of periods to maturity
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**Example:**
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```
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Bond: $1,000,000 face value, 3% annual coupon, 5 years to maturity, 2.5% yield
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PV = Σ(t=1 to 5) ($30,000 / (1.025)^t) + $1,000,000 / (1.025)^5
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= $30,000 × (1/1.025 + 1/1.025² + 1/1.025³ + 1/1.025⁴ + 1/1.025⁵) + $1,000,000 / 1.025⁵
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= $30,000 × 4.6458 + $883,854
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= $139,374 + $883,854
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= $1,023,228
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```
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---
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### Section 4.2: Bond Yield to Maturity
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**Formula:**
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Solve for r such that:
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```
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Market_Price = Σ(t=1 to n) (CF_t / (1 + r)^t) + FV / (1 + r)^n
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```
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**Calculation Method:**
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- Use iterative method (Newton-Raphson) or financial calculator
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- YTM = r that satisfies the equation
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---
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### Section 4.3: Closed-Loop Bond System
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**Bond Issuance:**
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```
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B_issued = Reserve_backing × LTV_ratio
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```
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Where:
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- B_issued = Bonds issued (face value)
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- Reserve_backing = Reserve assets backing bonds
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- LTV_ratio = Loan-to-value ratio (typically 0.8 or 80%)
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**Example:**
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```
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Reserve_backing = $10,000,000
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LTV_ratio = 0.8
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B_issued = $10,000,000 × 0.8 = $8,000,000
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```
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**Bond Redemption:**
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```
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R_value = B_redeemed × (1 + r_accrued × t / 365)
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```
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Where:
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- R_value = Redemption value
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- B_redeemed = Face value of bonds redeemed
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- r_accrued = Accrued interest rate
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- t = Days since last interest payment
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**Reserve Coverage:**
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```
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Coverage = R_total / B_outstanding
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```
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Where:
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- Coverage = Reserve coverage ratio
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- R_total = Total reserves
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- B_outstanding = Outstanding bonds
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Minimum coverage: 1.25 (125%)
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---
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## PART V: RISK-ADJUSTED FORMULAS
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### Section 5.1: Risk-Adjusted Reserves
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**Formula:**
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```
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R_adj = R_total × (1 - R_risk)
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```
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Where:
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- R_adj = Risk-adjusted reserves
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- R_total = Total reserves
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- R_risk = Aggregate risk factor (0.0 to 1.0)
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**Aggregate Risk Factor:**
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```
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R_risk = w_conc × R_conc + w_liq × R_liq + w_cred × R_cred + w_mkt × R_mkt + w_ops × R_ops
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```
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Where:
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- w_conc = Weight for concentration risk (0.2)
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- R_conc = Concentration risk factor
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- w_liq = Weight for liquidity risk (0.2)
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- R_liq = Liquidity risk factor
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- w_cred = Weight for credit risk (0.2)
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- R_cred = Credit risk factor
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- w_mkt = Weight for market risk (0.2)
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- R_mkt = Market risk factor
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- w_ops = Weight for operational risk (0.2)
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- R_ops = Operational risk factor
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**Risk Factor Calculation Examples:**
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- Concentration Risk: R_conc = max(0, (largest_asset / R_total) - 0.3) / 0.7
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- Liquidity Risk: R_liq = 1 - (liquid_assets / R_total)
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- Credit Risk: R_cred = weighted average of (1 - credit_factor) for all assets
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- Market Risk: R_mkt = portfolio_VaR / R_total
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- Operational Risk: R_ops = assessed operational risk (0.0 to 1.0)
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---
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## FORMULA VALIDATION
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All formulas must be:
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- Mathematically validated
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- Computationally verified
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- Tested with real data
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- Documented with examples
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- Reviewed by financial experts
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||||
---
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**END OF APPENDIX A**
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376
gru_reserve_system/appendices/Appendix_B_API_Specifications.md
Normal file
376
gru_reserve_system/appendices/Appendix_B_API_Specifications.md
Normal file
@@ -0,0 +1,376 @@
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# APPENDIX B: API SPECIFICATIONS
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||||
## Complete API Documentation for GRU Reserve System
|
||||
|
||||
**Document Number:** DBIS-GRU-APP-B
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||||
**Version:** 1.0
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||||
**Date:** [Enter date in ISO 8601 format: YYYY-MM-DD]
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||||
**Classification:** CONFIDENTIAL
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||||
**Authority:** DBIS Technical Department
|
||||
|
||||
---
|
||||
|
||||
## PREAMBLE
|
||||
|
||||
This appendix provides complete API specifications for the GRU Reserve System, including REST API endpoints, request/response formats, authentication, and error handling.
|
||||
|
||||
---
|
||||
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||||
## PART I: API OVERVIEW
|
||||
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### Section 1.1: API Architecture
|
||||
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**API Type:** RESTful API
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||||
**Base URL:** `https://api.dbis.org/v1/reserve`
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**API Versioning:**
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- Current version: v1
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- Version specified in URL path
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- Backward compatibility maintained for at least 2 versions
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**Authentication:**
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||||
- OAuth 2.0 with JWT tokens
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||||
- API keys for service-to-service communication
|
||||
- Certificate-based authentication for high-security operations
|
||||
|
||||
---
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## PART II: RESERVE MANAGEMENT APIs
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||||
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||||
### Section 2.1: Get Reserve Status
|
||||
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**Endpoint:** `GET /reserve/status`
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||||
**Authentication:** Required (API key or OAuth token)
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||||
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||||
**Request:**
|
||||
```
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GET /v1/reserve/status
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Headers:
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||||
Authorization: Bearer {token}
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||||
Accept: application/json
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||||
```
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||||
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||||
**Response:**
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||||
```json
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||||
{
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||||
"status": "success",
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||||
"data": {
|
||||
"total_reserves": 34500000.00,
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||||
"currency": "USD",
|
||||
"reserve_ratio": 1.15,
|
||||
"minimum_required": 30000000.00,
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||||
"assets": [
|
||||
{
|
||||
"type": "XAU",
|
||||
"quantity": 10000.0,
|
||||
"unit": "oz",
|
||||
"value": 20000000.00,
|
||||
"weight": 1.0
|
||||
},
|
||||
{
|
||||
"type": "BTC",
|
||||
"quantity": 100.0,
|
||||
"unit": "BTC",
|
||||
"value": 5000000.00,
|
||||
"weight": 0.9
|
||||
}
|
||||
],
|
||||
"liabilities": {
|
||||
"total": 30000000.00,
|
||||
"currency": "USD"
|
||||
},
|
||||
"timestamp": "2024-01-15T10:30:00Z"
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
**Error Responses:**
|
||||
- 401 Unauthorized: Invalid or missing authentication
|
||||
- 403 Forbidden: Insufficient permissions
|
||||
- 500 Internal Server Error: Server error
|
||||
|
||||
---
|
||||
|
||||
### Section 2.2: Get Asset Details
|
||||
|
||||
**Endpoint:** `GET /reserve/assets/{asset_type}`
|
||||
|
||||
**Parameters:**
|
||||
- `asset_type`: Asset type (XAU, BTC, ETH, etc.)
|
||||
|
||||
**Response:**
|
||||
```json
|
||||
{
|
||||
"status": "success",
|
||||
"data": {
|
||||
"asset_type": "XAU",
|
||||
"quantity": 10000.0,
|
||||
"unit": "oz",
|
||||
"current_price": 2000.00,
|
||||
"value": 20000000.00,
|
||||
"location": "allocated",
|
||||
"purity": 0.9999,
|
||||
"last_updated": "2024-01-15T10:30:00Z"
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
## PART III: CONVERSION APIs
|
||||
|
||||
### Section 3.1: Request Conversion
|
||||
|
||||
**Endpoint:** `POST /reserve/convert`
|
||||
|
||||
**Request:**
|
||||
```json
|
||||
{
|
||||
"source_asset": "USD",
|
||||
"target_asset": "XAU",
|
||||
"amount": 100000.00,
|
||||
"source_unit": "USD",
|
||||
"target_unit": "oz"
|
||||
}
|
||||
```
|
||||
|
||||
**Response:**
|
||||
```json
|
||||
{
|
||||
"status": "success",
|
||||
"data": {
|
||||
"conversion_id": "CONV-2024-001-12345",
|
||||
"source_asset": "USD",
|
||||
"target_asset": "XAU",
|
||||
"source_amount": 100000.00,
|
||||
"target_amount": 50.0,
|
||||
"conversion_rate": 2000.00,
|
||||
"fees": {
|
||||
"base_fee": 0.1,
|
||||
"slippage_fee": 0.0,
|
||||
"large_transaction_fee": 0.05,
|
||||
"total_fee": 0.15,
|
||||
"fee_amount": 0.075
|
||||
},
|
||||
"path": "direct",
|
||||
"estimated_settlement": "2024-01-15T10:35:00Z",
|
||||
"status": "pending"
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
**Error Responses:**
|
||||
- 400 Bad Request: Invalid request parameters
|
||||
- 402 Payment Required: Insufficient reserves
|
||||
- 429 Too Many Requests: Rate limit exceeded
|
||||
|
||||
---
|
||||
|
||||
### Section 3.2: Get Conversion Status
|
||||
|
||||
**Endpoint:** `GET /reserve/convert/{conversion_id}`
|
||||
|
||||
**Response:**
|
||||
```json
|
||||
{
|
||||
"status": "success",
|
||||
"data": {
|
||||
"conversion_id": "CONV-2024-001-12345",
|
||||
"status": "completed",
|
||||
"source_asset": "USD",
|
||||
"target_asset": "XAU",
|
||||
"source_amount": 100000.00,
|
||||
"target_amount": 50.0,
|
||||
"actual_rate": 2000.00,
|
||||
"fees": {
|
||||
"total_fee": 0.15,
|
||||
"fee_amount": 0.075
|
||||
},
|
||||
"settled_at": "2024-01-15T10:35:00Z",
|
||||
"transaction_hash": "0x1234..."
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
## PART IV: BOND SYSTEM APIs
|
||||
|
||||
### Section 4.1: Issue Bonds
|
||||
|
||||
**Endpoint:** `POST /reserve/bonds/issue`
|
||||
|
||||
**Request:**
|
||||
```json
|
||||
{
|
||||
"amount": 1000000.00,
|
||||
"currency": "USD",
|
||||
"maturity_years": 5,
|
||||
"interest_rate": 0.03,
|
||||
"backing_assets": ["XAU"]
|
||||
}
|
||||
```
|
||||
|
||||
**Response:**
|
||||
```json
|
||||
{
|
||||
"status": "success",
|
||||
"data": {
|
||||
"bond_id": "BOND-2024-001",
|
||||
"face_value": 1000000.00,
|
||||
"currency": "USD",
|
||||
"maturity_date": "2029-01-15",
|
||||
"interest_rate": 0.03,
|
||||
"issue_date": "2024-01-15",
|
||||
"backing_assets": ["XAU"],
|
||||
"backing_value": 1250000.00,
|
||||
"coverage_ratio": 1.25
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
### Section 4.2: Redeem Bonds
|
||||
|
||||
**Endpoint:** `POST /reserve/bonds/{bond_id}/redeem`
|
||||
|
||||
**Request:**
|
||||
```json
|
||||
{
|
||||
"redemption_amount": 1000000.00,
|
||||
"redemption_date": "2024-01-15"
|
||||
}
|
||||
```
|
||||
|
||||
**Response:**
|
||||
```json
|
||||
{
|
||||
"status": "success",
|
||||
"data": {
|
||||
"bond_id": "BOND-2024-001",
|
||||
"redemption_amount": 1000000.00,
|
||||
"accrued_interest": 25000.00,
|
||||
"total_redemption": 1025000.00,
|
||||
"redemption_date": "2024-01-15",
|
||||
"settlement_assets": ["XAU"],
|
||||
"settlement_amount": 512.5
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
## PART V: AUTHENTICATION AND SECURITY
|
||||
|
||||
### Section 5.1: Authentication
|
||||
|
||||
**OAuth 2.0 Flow:**
|
||||
1. Client requests authorization
|
||||
2. User authorizes
|
||||
3. Authorization server issues access token
|
||||
4. Client uses access token for API requests
|
||||
5. Token refresh as needed
|
||||
|
||||
**API Key Authentication:**
|
||||
- API keys issued by DBIS
|
||||
- Keys rotated every 90 days
|
||||
- Keys stored securely (never in code)
|
||||
|
||||
**Certificate Authentication:**
|
||||
- X.509 certificates for high-security operations
|
||||
- Certificate validation required
|
||||
- Mutual TLS (mTLS) for certificate-based authentication
|
||||
|
||||
---
|
||||
|
||||
### Section 5.2: Rate Limiting
|
||||
|
||||
**Rate Limits:**
|
||||
- Standard API key: 100 requests per minute
|
||||
- OAuth token: 1000 requests per minute
|
||||
- Certificate-based: 10000 requests per minute
|
||||
|
||||
**Rate Limit Headers:**
|
||||
```
|
||||
X-RateLimit-Limit: 100
|
||||
X-RateLimit-Remaining: 95
|
||||
X-RateLimit-Reset: 1642248000
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
## PART VI: ERROR HANDLING
|
||||
|
||||
### Section 6.1: Error Response Format
|
||||
|
||||
**Standard Error Response:**
|
||||
```json
|
||||
{
|
||||
"status": "error",
|
||||
"error": {
|
||||
"code": "RESERVE_INSUFFICIENT",
|
||||
"message": "Insufficient reserves for requested conversion",
|
||||
"details": {
|
||||
"required": 100000.00,
|
||||
"available": 50000.00
|
||||
},
|
||||
"timestamp": "2024-01-15T10:30:00Z",
|
||||
"request_id": "REQ-2024-001-12345"
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
**Error Codes:**
|
||||
- `AUTH_REQUIRED`: Authentication required
|
||||
- `AUTH_INVALID`: Invalid authentication
|
||||
- `PERMISSION_DENIED`: Insufficient permissions
|
||||
- `INVALID_REQUEST`: Invalid request parameters
|
||||
- `RESERVE_INSUFFICIENT`: Insufficient reserves
|
||||
- `CONVERSION_FAILED`: Conversion failed
|
||||
- `RATE_LIMIT_EXCEEDED`: Rate limit exceeded
|
||||
- `SERVER_ERROR`: Internal server error
|
||||
|
||||
---
|
||||
|
||||
## PART VII: WEBHOOKS AND NOTIFICATIONS
|
||||
|
||||
### Section 7.1: Webhook Events
|
||||
|
||||
**Event Types:**
|
||||
- `conversion.completed`: Conversion completed
|
||||
- `conversion.failed`: Conversion failed
|
||||
- `bond.issued`: Bond issued
|
||||
- `bond.redeemed`: Bond redeemed
|
||||
- `reserve.threshold`: Reserve threshold reached
|
||||
|
||||
**Webhook Payload:**
|
||||
```json
|
||||
{
|
||||
"event": "conversion.completed",
|
||||
"timestamp": "2024-01-15T10:35:00Z",
|
||||
"data": {
|
||||
"conversion_id": "CONV-2024-001-12345",
|
||||
"status": "completed"
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
## IMPLEMENTATION NOTES
|
||||
|
||||
- All APIs use HTTPS only (TLS 1.3)
|
||||
- All requests and responses are JSON
|
||||
- All timestamps in ISO 8601 format
|
||||
- All monetary amounts in base currency (USD) unless specified
|
||||
- API versioning in URL path
|
||||
- Comprehensive error handling
|
||||
- Rate limiting implemented
|
||||
- Audit logging for all API calls
|
||||
|
||||
---
|
||||
|
||||
**END OF APPENDIX B**
|
||||
|
||||
421
gru_reserve_system/appendices/Appendix_C_Smart_Contract_Code.md
Normal file
421
gru_reserve_system/appendices/Appendix_C_Smart_Contract_Code.md
Normal file
@@ -0,0 +1,421 @@
|
||||
# APPENDIX C: SMART CONTRACT CODE
|
||||
## Smart Contract Source Code for GRU Reserve System
|
||||
|
||||
**Document Number:** DBIS-GRU-APP-C
|
||||
**Version:** 1.0
|
||||
**Date:** [Enter date in ISO 8601 format: YYYY-MM-DD]
|
||||
**Classification:** CONFIDENTIAL
|
||||
**Authority:** DBIS Technical Department
|
||||
|
||||
---
|
||||
|
||||
## PREAMBLE
|
||||
|
||||
This appendix provides smart contract source code for the GRU Reserve System. Contracts are provided in Solidity (for Ethereum-compatible chains) and pseudocode for other platforms.
|
||||
|
||||
---
|
||||
|
||||
## PART I: RESERVE MANAGEMENT CONTRACT
|
||||
|
||||
### Section 1.1: Reserve Contract (Solidity)
|
||||
|
||||
```solidity
|
||||
// SPDX-License-Identifier: MIT
|
||||
pragma solidity ^0.8.19;
|
||||
|
||||
/**
|
||||
* @title GRUReserveContract
|
||||
* @dev Manages GRU Reserve System reserves and conversions
|
||||
*/
|
||||
contract GRUReserveContract {
|
||||
// State variables
|
||||
address public owner;
|
||||
mapping(address => uint256) public reserves; // Asset address => amount
|
||||
mapping(address => uint256) public liabilities; // Liability type => amount
|
||||
uint256 public totalReserveValue; // In base currency (USD, scaled by 1e18)
|
||||
uint256 public minimumReserveRatio; // Minimum reserve ratio (1e18 = 100%)
|
||||
|
||||
// Events
|
||||
event ReserveUpdated(address indexed asset, uint256 amount);
|
||||
event ConversionExecuted(
|
||||
address indexed fromAsset,
|
||||
address indexed toAsset,
|
||||
uint256 fromAmount,
|
||||
uint256 toAmount
|
||||
);
|
||||
event ReserveRatioUpdated(uint256 newRatio);
|
||||
|
||||
// Modifiers
|
||||
modifier onlyOwner() {
|
||||
require(msg.sender == owner, "Not authorized");
|
||||
_;
|
||||
}
|
||||
|
||||
modifier validReserveRatio() {
|
||||
require(
|
||||
calculateReserveRatio() >= minimumReserveRatio,
|
||||
"Reserve ratio below minimum"
|
||||
);
|
||||
_;
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Constructor
|
||||
* @param _minimumReserveRatio Minimum reserve ratio (1e18 = 100%)
|
||||
*/
|
||||
constructor(uint256 _minimumReserveRatio) {
|
||||
owner = msg.sender;
|
||||
minimumReserveRatio = _minimumReserveRatio;
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Update reserve amount for an asset
|
||||
* @param asset Asset address
|
||||
* @param amount New reserve amount
|
||||
*/
|
||||
function updateReserve(
|
||||
address asset,
|
||||
uint256 amount
|
||||
) external onlyOwner {
|
||||
reserves[asset] = amount;
|
||||
totalReserveValue = calculateTotalReserveValue();
|
||||
emit ReserveUpdated(asset, amount);
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Execute conversion between assets
|
||||
* @param fromAsset Source asset address
|
||||
* @param toAsset Target asset address
|
||||
* @param fromAmount Amount to convert
|
||||
* @param toAmount Expected output amount
|
||||
* @param priceFrom Source asset price (scaled by 1e18)
|
||||
* @param priceTo Target asset price (scaled by 1e18)
|
||||
*/
|
||||
function executeConversion(
|
||||
address fromAsset,
|
||||
address toAsset,
|
||||
uint256 fromAmount,
|
||||
uint256 toAmount,
|
||||
uint256 priceFrom,
|
||||
uint256 priceTo
|
||||
) external onlyOwner validReserveRatio {
|
||||
require(reserves[fromAsset] >= fromAmount, "Insufficient reserves");
|
||||
|
||||
// Calculate conversion with fees
|
||||
uint256 baseFee = (fromAmount * priceFrom * 10) / 10000; // 0.1% fee
|
||||
uint256 totalFee = baseFee;
|
||||
uint256 netAmount = (fromAmount * priceFrom) - totalFee;
|
||||
uint256 actualToAmount = (netAmount * 1e18) / priceTo;
|
||||
|
||||
require(actualToAmount >= toAmount * 95 / 100, "Slippage too high"); // 5% slippage tolerance
|
||||
|
||||
// Update reserves
|
||||
reserves[fromAsset] -= fromAmount;
|
||||
reserves[toAsset] += actualToAmount;
|
||||
totalReserveValue = calculateTotalReserveValue();
|
||||
|
||||
emit ConversionExecuted(fromAsset, toAsset, fromAmount, actualToAmount);
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Calculate total reserve value
|
||||
* @return Total reserve value in base currency
|
||||
*/
|
||||
function calculateTotalReserveValue() public view returns (uint256) {
|
||||
// Implementation would iterate through all assets and calculate total value
|
||||
// This is a simplified version
|
||||
return totalReserveValue;
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Calculate reserve ratio
|
||||
* @return Reserve ratio (1e18 = 100%)
|
||||
*/
|
||||
function calculateReserveRatio() public view returns (uint256) {
|
||||
uint256 totalLiabilities = calculateTotalLiabilities();
|
||||
if (totalLiabilities == 0) return type(uint256).max;
|
||||
return (totalReserveValue * 1e18) / totalLiabilities;
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Calculate total liabilities
|
||||
* @return Total liabilities in base currency
|
||||
*/
|
||||
function calculateTotalLiabilities() public view returns (uint256) {
|
||||
// Implementation would sum all liabilities
|
||||
// This is a simplified version
|
||||
uint256 total = 0;
|
||||
// Sum all liabilities
|
||||
return total;
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Update minimum reserve ratio
|
||||
* @param newRatio New minimum reserve ratio (1e18 = 100%)
|
||||
*/
|
||||
function updateMinimumReserveRatio(
|
||||
uint256 newRatio
|
||||
) external onlyOwner {
|
||||
require(newRatio >= 1e18, "Ratio must be at least 100%");
|
||||
minimumReserveRatio = newRatio;
|
||||
emit ReserveRatioUpdated(newRatio);
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
## PART II: BOND SYSTEM CONTRACT
|
||||
|
||||
### Section 2.1: Bond Contract (Solidity)
|
||||
|
||||
```solidity
|
||||
// SPDX-License-Identifier: MIT
|
||||
pragma solidity ^0.8.19;
|
||||
|
||||
/**
|
||||
* @title GRUBondContract
|
||||
* @dev Manages GRU Reserve System bond issuance and redemption
|
||||
*/
|
||||
contract GRUBondContract {
|
||||
// State variables
|
||||
address public owner;
|
||||
address public reserveContract;
|
||||
|
||||
struct Bond {
|
||||
uint256 bondId;
|
||||
uint256 faceValue;
|
||||
uint256 interestRate; // Scaled by 1e18 (3% = 3e16)
|
||||
uint256 issueDate;
|
||||
uint256 maturityDate;
|
||||
address backingAsset;
|
||||
uint256 backingAmount;
|
||||
bool redeemed;
|
||||
}
|
||||
|
||||
mapping(uint256 => Bond) public bonds;
|
||||
mapping(address => uint256[]) public bondholderBonds;
|
||||
uint256 public nextBondId;
|
||||
uint256 public minimumCoverageRatio; // 1e18 = 100%, 1.25e18 = 125%
|
||||
|
||||
// Events
|
||||
event BondIssued(
|
||||
uint256 indexed bondId,
|
||||
address indexed bondholder,
|
||||
uint256 faceValue,
|
||||
uint256 maturityDate
|
||||
);
|
||||
event BondRedeemed(
|
||||
uint256 indexed bondId,
|
||||
address indexed bondholder,
|
||||
uint256 redemptionAmount
|
||||
);
|
||||
event InterestPaid(
|
||||
uint256 indexed bondId,
|
||||
address indexed bondholder,
|
||||
uint256 interestAmount
|
||||
);
|
||||
|
||||
modifier onlyOwner() {
|
||||
require(msg.sender == owner, "Not authorized");
|
||||
_;
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Constructor
|
||||
* @param _reserveContract Address of reserve contract
|
||||
* @param _minimumCoverageRatio Minimum coverage ratio (1.25e18 = 125%)
|
||||
*/
|
||||
constructor(
|
||||
address _reserveContract,
|
||||
uint256 _minimumCoverageRatio
|
||||
) {
|
||||
owner = msg.sender;
|
||||
reserveContract = _reserveContract;
|
||||
minimumCoverageRatio = _minimumCoverageRatio;
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Issue new bond
|
||||
* @param bondholder Bondholder address
|
||||
* @param faceValue Bond face value
|
||||
* @param interestRate Annual interest rate (scaled by 1e18)
|
||||
* @param maturityYears Maturity in years
|
||||
* @param backingAsset Backing asset address
|
||||
* @param backingAmount Backing asset amount
|
||||
*/
|
||||
function issueBond(
|
||||
address bondholder,
|
||||
uint256 faceValue,
|
||||
uint256 interestRate,
|
||||
uint256 maturityYears,
|
||||
address backingAsset,
|
||||
uint256 backingAmount
|
||||
) external onlyOwner returns (uint256) {
|
||||
// Verify coverage ratio
|
||||
require(
|
||||
(backingAmount * 1e18) / faceValue >= minimumCoverageRatio,
|
||||
"Coverage ratio below minimum"
|
||||
);
|
||||
|
||||
uint256 bondId = nextBondId++;
|
||||
uint256 issueDate = block.timestamp;
|
||||
uint256 maturityDate = issueDate + (maturityYears * 365 days);
|
||||
|
||||
bonds[bondId] = Bond({
|
||||
bondId: bondId,
|
||||
faceValue: faceValue,
|
||||
interestRate: interestRate,
|
||||
issueDate: issueDate,
|
||||
maturityDate: maturityDate,
|
||||
backingAsset: backingAsset,
|
||||
backingAmount: backingAmount,
|
||||
redeemed: false
|
||||
});
|
||||
|
||||
bondholderBonds[bondholder].push(bondId);
|
||||
|
||||
emit BondIssued(bondId, bondholder, faceValue, maturityDate);
|
||||
|
||||
return bondId;
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Redeem bond
|
||||
* @param bondId Bond ID
|
||||
*/
|
||||
function redeemBond(uint256 bondId) external {
|
||||
Bond storage bond = bonds[bondId];
|
||||
require(!bond.redeemed, "Bond already redeemed");
|
||||
require(
|
||||
block.timestamp >= bond.maturityDate,
|
||||
"Bond not yet mature"
|
||||
);
|
||||
|
||||
// Calculate redemption amount (principal + final interest)
|
||||
uint256 interestAmount = (bond.faceValue * bond.interestRate) / 1e18;
|
||||
uint256 redemptionAmount = bond.faceValue + interestAmount;
|
||||
|
||||
bond.redeemed = true;
|
||||
|
||||
// Transfer redemption (would interact with reserve contract)
|
||||
// Implementation depends on reserve contract interface
|
||||
|
||||
emit BondRedeemed(bondId, msg.sender, redemptionAmount);
|
||||
}
|
||||
|
||||
/**
|
||||
* @dev Calculate bond present value
|
||||
* @param bondId Bond ID
|
||||
* @param discountRate Discount rate (scaled by 1e18)
|
||||
*/
|
||||
function calculatePresentValue(
|
||||
uint256 bondId,
|
||||
uint256 discountRate
|
||||
) external view returns (uint256) {
|
||||
Bond memory bond = bonds[bondId];
|
||||
require(bond.bondId != 0, "Bond does not exist");
|
||||
|
||||
uint256 yearsToMaturity = (bond.maturityDate - block.timestamp) / 365 days;
|
||||
uint256 annualCoupon = (bond.faceValue * bond.interestRate) / 1e18;
|
||||
|
||||
// Simplified PV calculation
|
||||
uint256 pv = 0;
|
||||
for (uint256 i = 1; i <= yearsToMaturity; i++) {
|
||||
pv += (annualCoupon * 1e18) / ((1e18 + discountRate) ** i);
|
||||
}
|
||||
pv += (bond.faceValue * 1e18) / ((1e18 + discountRate) ** yearsToMaturity);
|
||||
|
||||
return pv;
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
## PART III: CONVERSION CONTRACT
|
||||
|
||||
### Section 3.1: Conversion Contract (Pseudocode)
|
||||
|
||||
```
|
||||
CONTRACT ConversionContract:
|
||||
STATE:
|
||||
owner: Address
|
||||
reserveContract: Address
|
||||
priceFeeds: Map[Asset => PriceFeed]
|
||||
feeRate: Decimal (0.001 = 0.1%)
|
||||
|
||||
FUNCTION executeConversion(
|
||||
fromAsset: Asset,
|
||||
toAsset: Asset,
|
||||
amount: Decimal
|
||||
) RETURNS Decimal:
|
||||
REQUIRE reserves[fromAsset] >= amount
|
||||
|
||||
// Get prices
|
||||
priceFrom = priceFeeds[fromAsset].getPrice()
|
||||
priceTo = priceFeeds[toAsset].getPrice()
|
||||
|
||||
// Calculate conversion paths
|
||||
pathDirect = calculateDirectPath(fromAsset, toAsset, amount, priceFrom, priceTo)
|
||||
pathXAU = calculateXAUPath(fromAsset, toAsset, amount, priceFrom, priceTo)
|
||||
|
||||
// Select optimal path
|
||||
optimalPath = min(pathDirect, pathXAU)
|
||||
|
||||
// Calculate fees
|
||||
fees = calculateFees(optimalPath.amount, feeRate)
|
||||
netAmount = optimalPath.amount - fees
|
||||
|
||||
// Update reserves
|
||||
reserves[fromAsset] -= amount
|
||||
reserves[toAsset] += netAmount
|
||||
|
||||
EMIT ConversionExecuted(fromAsset, toAsset, amount, netAmount)
|
||||
|
||||
RETURN netAmount
|
||||
|
||||
FUNCTION calculateDirectPath(
|
||||
fromAsset: Asset,
|
||||
toAsset: Asset,
|
||||
amount: Decimal,
|
||||
priceFrom: Decimal,
|
||||
priceTo: Decimal
|
||||
) RETURNS ConversionPath:
|
||||
value = amount * priceFrom
|
||||
toAmount = value / priceTo
|
||||
RETURN ConversionPath(toAmount, "direct")
|
||||
|
||||
FUNCTION calculateXAUPath(
|
||||
fromAsset: Asset,
|
||||
toAsset: Asset,
|
||||
amount: Decimal,
|
||||
priceFrom: Decimal,
|
||||
priceTo: Decimal
|
||||
) RETURNS ConversionPath:
|
||||
priceXAU = priceFeeds["XAU"].getPrice()
|
||||
|
||||
// Convert to XAU
|
||||
xauAmount = (amount * priceFrom) / priceXAU
|
||||
|
||||
// Convert from XAU to target
|
||||
toAmount = (xauAmount * priceXAU) / priceTo
|
||||
|
||||
RETURN ConversionPath(toAmount, "XAU")
|
||||
```
|
||||
|
||||
---
|
||||
|
||||
## IMPLEMENTATION NOTES
|
||||
|
||||
1. **Security:** All contracts use access controls and require statements
|
||||
2. **Gas Optimization:** Contracts optimized for gas efficiency
|
||||
3. **Upgradeability:** Consider proxy patterns for upgradeability
|
||||
4. **Testing:** Comprehensive testing required before deployment
|
||||
5. **Audit:** Third-party security audit required
|
||||
6. **Documentation:** Complete documentation for all functions
|
||||
|
||||
---
|
||||
|
||||
**END OF APPENDIX C**
|
||||
|
||||
Reference in New Issue
Block a user