Quant Memo
Core

Estimating a Prop Firm's Annual Revenue

A worked Fermi chain for a classic quant-interview prompt — building a proprietary trading firm's annual revenue from headcount, capital per trader, and a plausible return on capital, then cross-checking with a per-trader P&L anchor.

Prerequisites: Breaking an Estimate Into a Decomposition Tree

"Roughly how much revenue does a mid-sized proprietary trading firm generate in a year?" This is a favorite because it's directly about the interviewer's own industry — there's no hiding behind "I don't know finance," and the assumptions you pick reveal how much you understand about how a prop firm actually makes money. The chain has two natural routes: from capital and returns, or from headcount and per-trader output. Building both and comparing is the strongest answer.

Route 1: capital times return on capital

annual revenuedeployed capital×return on capital.\text{annual revenue} \approx \text{deployed capital} \times \text{return on capital} .

A mid-sized firm might deploy, say, $500 million to $1 billion of capital (own capital plus leverage) across its strategies. Prop trading returns on deployed capital are typically far higher than a long-only fund's, because the capital is turned over rapidly and leveraged — a reasonable anchor is 20–40% annualized return on deployed capital for a firm running market-making and stat-arb style strategies. Taking $700 million and 30%: 700×0.30=210700 \times 0.30 = 210, i.e. $210 million in annual trading revenue (before costs).

Route 2: headcount times revenue per trader

annual revenuenumber of traders×revenue per trader.\text{annual revenue} \approx \text{number of traders} \times \text{revenue per trader} .

A mid-sized firm might employ 150–250 traders and quantitative researchers directly involved in generating P&L. Revenue per senior trader at a well-run prop firm is commonly cited in interview folklore as somewhere in the $1–2 million/year range (this varies hugely by strategy and seniority, but it's a workable anchor), while junior traders and researchers contribute less individually but add headcount. Blending across seniority, call it an average of $1 million/trader across 200 traders: 200×1=200200 \times 1 = 200, i.e. $200 million.

Route 1 ($210M) and Route 2 ($200M) land within 5% of each other — strong agreement from two structurally independent chains, one anchored in capital markets, the other in headcount economics.

\$700M capital × 30% return on capital 200 traders × \$1M revenue per trader ~\$200-210M annual revenue two chains agree within 5%
Capital-based and headcount-based chains, built from different anchor numbers, converging near the same revenue figure.

Prop firm revenue can be decomposed two independent ways — deployed capital times return on capital, or headcount times revenue per trader — and a good interview answer builds both and checks they agree, rather than committing to a single unverified chain.

"Revenue" and "profit" are not the same number, and interviewers sometimes deliberately ask for one while candidates answer with the other. Prop firm revenue (gross trading P&L) is typically far larger than net profit after paying trader compensation (which can be 30-50% of P&L at many firms), technology costs, and exchange fees — state clearly which one you're estimating.

Related concepts

Practice in interviews

Further reading

  • Guesstimation, Weinstein and Adam
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