TREASURY VPU
★ 2027 ★
QUANT LEDGER
REQ #38076

Development Treasury • Quantitative Risk & Financial Inclusion

Derisking Capital for Micro, Small & Medium Enterprises

An analytical laboratory and simulation ledger demonstrating how multilateral development treasuries structure AAA bond issuances, engineer cross-currency swaps in local currency (PKR), execute Partial Credit Guarantee Schemes (PCGS), and stress-test sovereign portfolios under Basel III and SBP PR-3 regulations.

Rotational Treasury Modules • Requisition req38076 Portfolio
ℹ️ Prepared by Lokesh Kumar (World Bank MSME Finance Certified, SAU Tando Jam) for the World Bank Treasury Pioneers Program (Summer 2027).
DOSSIER 01 / 04 • TREASURY RISK & QUANTITATIVE METHODS

Partial Credit Guarantee Scheme (PCGS) & Loss Distribution

Vasicek Asymptotic Single Risk Factor (ASRF) Model • SBP PR-3 Compliance

Quantifies portfolio credit risk relief when multilateral development institutions provide first-loss guarantees on commercial bank MSME portfolios. Uses the Basel IRB / Vasicek model to calculate probability densities, unexpected loss (UL), and Tier-1 capital relief.

Portfolio Parameters
Total principal lent across MSME borrowers.
Average 1-year SME probability of default.
Net loss severity after collateral liquidation.
First-loss absorption provided by WBG/IFC.
Systemic macro factor correlation.

Regulatory Note: Under State Bank of Pakistan (SBP PR-3) guidelines, loans covered by eligible sovereign/MDB guarantees benefit from reduced provisioning and zero risk-weighting on the guaranteed tranche.

Unguaranteed ECL
$2.48M
Baseline Expected Loss
Guaranteed Bank ECL
$1.24M
50% Risk Transferred
99.9% Vasicek VaR
$7.82M
Economic Capital Requirement
Capital Relief Mult
4.50x
Commercial Credit Expansion
Loss Probability Density Function (Vasicek Model) — Baseline (Unguaranteed) vs ─ Guaranteed
DOSSIER 02 / 04 • CLIENT SOLUTIONS & DERIVATIVES STRUCTURING

Cross-Currency FX Swap & Geometric Brownian Motion Simulator

Covered Interest Parity • Stochastic Monte Carlo Drift-Diffusion

Simulates how Treasury converts USD capital market bond proceeds into local currency (PKR) to finance MSMEs, calculating fixed-for-floating cross-currency swap rates and modeling currency depreciation trajectories over 36 months.

Swap & Market Parameters
Drift parameter (μ) in stochastic diffusion.
Annualized diffusion volatility.
PKR Disbursed
PKR 13.92B
Converted at Spot
Swap Hedged Cost
14.15%
Fixed Annual Rate
Forward Rate (E[S_T])
350.70 PKR
Expected Maturity Spot
MSME Interest Savings
300 bps
vs Unhedged Commercial Loan
Stochastic USD/PKR Exchange Rate Projections (Geometric Brownian Motion) 50 Simulated Paths + P10/P50/P90 Quantiles
DOSSIER 03 / 04 • CAPITAL MARKETS & ASSET MANAGEMENT

AAA Financial Inclusion & Social Bond Portfolio Ledger

Multilateral Bond Issuances • Yield Curve Interpolation • ESG Allocation

Manages $300 Billion+ in official sector assets across triple-A rated IBRD, IFC, and IDA development bonds that fund financial inclusion and SME credit facilities globally.

AAA Development Bond Yield Curve vs Benchmark Yield to Maturity (%) by Tenor
Fund Allocation by Development Theme % of Total Proceeds ($B)
Active Bond Tranches Ledger
ISIN Issuer Bond Name Currency Size ($M) Coupon Maturity Yield (%) MSME Share Rating
DOSSIER 04 / 04 • TREASURY RISK, COMPLIANCE & CONTROLS

Sovereign Risk, CPIA Rating & Capital Buffer Stress Tester

CPIA Macro Indexation • Spread Decomp • Equity Buffer Adequacy

Evaluates Country Policy and Institutional Assessment (CPIA) scores, sovereign credit spreads, and capital buffer adequacy for World Bank Group borrowing member countries.

Select Member Country Facility
Macroeconomic Stress Scenario

Compliance Protocol: If country credit rating falls below B- or CPIA score drops below 3.20, Treasury mandates mandatory PCGS first-loss credit enhancements for MSME facility approval.

CPIA Rating Score
3.10 / 6.0
Medium Risk Country
Sovereign Spread
485 bps
Emerging Market Spread
Required Capital Buffer
18.50%
Tier-1 Equity Allocation
Approval Decision
APPROVED (PCGS)
Meets Safeguards
CPIA Dimension Breakdown & Stress Degradation Baseline vs Stressed Scores