154 lines
3.4 KiB
Markdown
154 lines
3.4 KiB
Markdown
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# RESERVE CALCULATION EXAMPLE
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## Worked Example of Reserve Adequacy Calculation
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**Document Number:** DBIS-GRU-EX-002
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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:** UNCLASSIFIED
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**Authority:** DBIS Financial Operations Department
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---
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## SCENARIO
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Calculate total reserves and reserve ratio for DBIS given the following reserve assets and liabilities.
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**Reserve Assets:**
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- XAU: 10,000 oz at $2,000/oz, weight = 1.0
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- Bitcoin: 100 BTC at $50,000/BTC, weight = 0.9
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- Ethereum: 500 ETH at $3,000/ETH, weight = 0.85
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- US Treasury Bonds: $10,000,000 face value, present value = $10,200,000, weight = 1.0
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**Liabilities:**
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- Outstanding bonds: $30,000,000
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- Currency in circulation: $5,000,000
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- Other liabilities: $2,000,000
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- Total liabilities: $37,000,000
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---
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## STEP 1: CALCULATE INDIVIDUAL ASSET VALUES
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### XAU Value
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```
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V_XAU = Q_XAU × P_XAU × F_XAU × W_XAU
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V_XAU = 10,000 oz × $2,000/oz × 1.0 × 1.0
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V_XAU = $20,000,000
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```
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### Bitcoin Value
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```
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V_BTC = Q_BTC × P_BTC × W_BTC
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V_BTC = 100 BTC × $50,000/BTC × 0.9
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V_BTC = $4,500,000
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```
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### Ethereum Value
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```
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V_ETH = Q_ETH × P_ETH × W_ETH
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V_ETH = 500 ETH × $3,000/ETH × 0.85
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V_ETH = $1,275,000
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```
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### US Treasury Bonds Value
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```
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V_Bonds = PV_Bonds × W_Bonds
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V_Bonds = $10,200,000 × 1.0
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V_Bonds = $10,200,000
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```
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---
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## STEP 2: CALCULATE TOTAL RESERVES
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```
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R_total = V_XAU + V_BTC + V_ETH + V_Bonds
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R_total = $20,000,000 + $4,500,000 + $1,275,000 + $10,200,000
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R_total = $35,975,000
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```
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---
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## STEP 3: CALCULATE RESERVE RATIO
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```
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RR = R_total / L_total
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RR = $35,975,000 / $37,000,000
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RR = 0.972 (97.2%)
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```
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---
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## STEP 4: ASSESS RESERVE ADEQUACY
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**Minimum Requirement:**
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```
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R_min = L_total × RR_min
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R_min = $37,000,000 × 1.0
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R_min = $37,000,000
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```
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**Current Status:**
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- Current reserves: $35,975,000
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- Minimum required: $37,000,000
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- Shortfall: $1,025,000
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- Reserve ratio: 97.2%
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- Status: **BELOW MINIMUM** (requires action)
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**Required Action:**
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- Increase reserves by minimum $1,025,000
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- Target reserves: $44,400,000 (120% of liabilities)
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- Additional required: $8,425,000 to reach target
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---
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## STEP 5: RISK-ADJUSTED RESERVES
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**Risk Factors:**
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- Concentration risk: Largest asset (XAU) = 55.6% of total (risk factor: 0.256)
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- Liquidity risk: Liquid assets = 75% of total (risk factor: 0.25)
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- Credit risk: All assets high quality (risk factor: 0.05)
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- Market risk: Portfolio VaR = 2% (risk factor: 0.02)
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- Operational risk: Low (risk factor: 0.05)
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**Aggregate Risk:**
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```
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R_risk = 0.2 × 0.256 + 0.2 × 0.25 + 0.2 × 0.05 + 0.2 × 0.02 + 0.2 × 0.05
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R_risk = 0.0512 + 0.05 + 0.01 + 0.004 + 0.01
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R_risk = 0.1252 (12.52%)
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```
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**Risk-Adjusted Reserves:**
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```
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R_adj = R_total × (1 - R_risk)
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R_adj = $35,975,000 × (1 - 0.1252)
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R_adj = $35,975,000 × 0.8748
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R_adj = $31,470,330
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```
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**Risk-Adjusted Reserve Ratio:**
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```
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RR_adj = R_adj / L_total
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RR_adj = $31,470,330 / $37,000,000
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RR_adj = 0.851 (85.1%)
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```
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**Status:** Risk-adjusted reserves also below minimum (85.1% vs. 100% required)
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---
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## CONCLUSION
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The reserve system requires immediate action to increase reserves to meet minimum requirements. Both unadjusted and risk-adjusted reserves are below the 100% minimum threshold.
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**Recommendations:**
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1. Increase reserves by minimum $1,025,000 immediately
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2. Target 120% reserve ratio ($44,400,000 total)
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3. Diversify reserves to reduce concentration risk
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4. Increase liquid assets to reduce liquidity risk
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---
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**END OF RESERVE CALCULATION EXAMPLE**
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