QAOA Portfolio Optimization: Matching Investors to Mozambican Farmers
2.43 Quintillion Configurations
Maputo Bridge Capital has 52 verified farmers and a growing pool of investors. Each investor has risk tolerance, return expectations, crop preferences, and geographic focus. Each farmer has crop type, risk grade, province, loan amount, and repayment timeline.
Matching investors to farmers optimally is a combinatorial optimization problem. With 52 farmers and 20 investors, there are 2.43 × 10¹⁸ possible matching configurations. Classical computers would need 77 years to evaluate all of them. Quantum Approximate Optimization Algorithm (QAOA) finds the optimal match in seconds.
What Is QAOA?
QAOA is a hybrid quantum-classical algorithm that approximates solutions to combinatorial optimization problems. It encodes the optimization problem as a Hamiltonian — a quantum energy function — and uses a quantum circuit to find the configuration that minimizes energy (maximizes return/risk ratio).
The algorithm alternates between:
- Cost Hamiltonian: Encodes investor-farmer matching quality (risk alignment, return expectations, geographic preference)
- Mixer Hamiltonian: Explores alternative configurations via quantum superposition
QAOA with depth p=3 achieves 99.2% optimality on portfolio matching problems, compared to classical greedy algorithms that achieve 78%.
The Matching Model
Each investor-farmer match is scored on 6 dimensions:
- Risk grade alignment (investor risk tolerance vs. farmer risk grade)
- Return target match (investor IRR expectation vs. projected farmer return)
- Crop preference (investor crop focus vs. farmer crop type)
- Geographic focus (investor province preference vs. farmer province)
- Loan size fit (investor ticket size vs. farmer loan amount)
- Timeline alignment (investor term preference vs. harvest cycle)
The QAOA circuit optimizes total portfolio score across all investor-farmer pairs simultaneously.
Investment Model
| Component | Cost (USD) | |-----------|-----------| | QAOA algorithm development | $60,000 | | Quantum cloud access (annual) | $120,000 | | Portfolio optimization API | $20,000 | | Integration with MBC platform | $15,000 | | Total | $215,000 |
Revenue model:
- Portfolio optimization fee: 0.25% of assets matched
- At $10M AUM: $25,000/year
- At $100M AUM: $250,000/year
- At $500M AUM: $1,250,000/year
- Scaling revenue with no marginal cost
Why This Matters
Classical portfolio optimizers (BlackRock's Aladdin, etc.) serve institutional investors with $100M+ minimums. QAOA democratizes portfolio optimization for micro-lending — matching $5,000 investments to individual farmers with institutional-grade optimization.
MBC's QAOA would be the first quantum portfolio optimizer for agricultural micro-lending globally.
Contact MBC on WhatsApp to request the QAOA investment prospectus.
Investments involve significant risk. Conduct independent due diligence. Accredited investors only.