Free lesson · Fund operations & capstone
Capstone: defend a complete hypothetical fund
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Start with the idea
An investment-committee packet should make the entire chain of reasoning inspectable. Research, implementation, financing and investor reporting must describe the same hypothetical fund, not disconnected favourable examples.
Symbols, units & horizon
- Gross return: return before expenses
- Trading,borrow,financing,fund expenses: decimal returns deducted over the same reporting period
- Net return: investor return after the stated deductions
- Alpha: excess return relative to a defined benchmark, distinct from gross return
- All rates: same currency base, cash-flow convention and horizon
- G,E,F,M,I: gross P&L, execution, financing, operating/management expense and incentive fee in currency
- Π_net: net currency P&L
- NAV₀: opening net asset value
When and why to use this
Use the capstone to decide whether the evidence supports rejection, revision or further paper evaluation. Each major number should be traceable to data, assumptions and a calculation.
The final output is an investment-committee packet that another researcher could reproduce and challenge. A strong packet makes the limits of the evidence visible. A decision to reject the strategy is a valid result.
| Packet | Required evidence |
|---|---|
| Mandate | Objective, universe, benchmark, constraints and thesis invalidation |
| Research | Point-in-time data, experiment log, splits, baselines and uncertainty |
| Implementation | Signal timing, executable fills, cost curve, borrow and order state recovery |
| Portfolio | Allocation, factor exposures, risk contributions and concentration |
| Stress | Drawdown, correlated shocks, liquidity, funding and counterparty scenarios |
| Operations | NAV reconciliation, fee assumptions, valuation and incident ownership |
| Decision | Approve for paper study, revise or reject, with explicit review triggers |
Use the same hypothetical fund throughout the course. Include equations with units, code or calculation steps, and a clear route from raw records to the reported return. Compare with a simple baseline and identify which results would fail under doubled costs or a different sample.
Research sources, review dates and limitations
Extend the research question
Treat subscriptions, collateral transfers, fees and trading profit as different cash flows. Explain how custody and reconciliation differ across a broker account and an on-chain address.
Continue with the connected research module →
Connect the ideas: Cash flows and accounting
Retrieve: Track units, signed cash movements and ownership at each event.
Check the change: Instrument obligations, financing and external capital flows change the ledger you need.
Math & notation → Markets & returns → Trading different assets → Research & backtests → Execution & microstructure → Putting it all together
Self-assessed. Write your explanation before opening this comparison. A deposit raises the balance without being investment P&L. Reconcile external flows separately from fills, fees and marked holdings.Explain it yourself: Why can an account balance rise without an investment profit?
Connect the ideas: Constraints and survival
Retrieve: A desired position must fit available capital and explicit limits.
Check the change: Portfolio weights, venue collateral, working orders and redemption obligations impose different constraints.
Risk → Portfolio construction → Optimization → Arbitrage → Crypto derivatives → Execution & microstructure
Self-assessed. Write your explanation before opening this comparison. No. Cash may be required before the hedge pays, or in another account. Check the path, collateral location and feasible transfer times.Explain it yourself: Can an offsetting terminal payoff remove a margin problem today?
Reconcile the capstone’s return bridge
- Start from gross P&L G. Subtract execution E, financing F and operating/management expenses M. Apply any performance fee I in the contractual order: .
- Without external flows, net period return is . Compare each cost and risk assumption to the relevant module’s hand calculation.
Gross $1m, execution $.2m, financing $.1m, expenses $.15m, incentive $.11m → net $.44m. On opening NAV $10m, investor return is 4.4%.
Python implementation
Self-contained teaching example. Python 3.10+; dependencies and input conventions are shown in the code and notation. Run in your own Python environment.
def return_bridge(gross_return, trading, borrow, financing, fund_expenses):
"""Additive same-period attribution; use a documented linking method across periods."""
return gross_return-trading-borrow-financing-fund_expenses
print(return_bridge(.12,.02,.01,.005,.015)) # .07
def capstone_currency_bridge(gross_pnl, execution, financing, expenses, incentive_fee, opening_nav):
net = gross_pnl-execution-financing-expenses-incentive_fee
return net, net/opening_nav
Continue learning
Fund Operations & Investment Committee — all lessons- Reconcile the fund before reporting its return
- Model fees and high-water marks explicitly
- Match portfolio liquidity to funding promises
- Capstone: defend a complete hypothetical fund
Quantitative finance and development glossary · Python resources and libraries · Research sources and limitations