Finance Interview Questions

Finance questions in quant interviews cluster into six recurring families: time-value and no-arbitrage pricing, bond duration and convexity, portfolio variance and diversification, Kelly-style bet sizing, market making with implied probabilities, and alpha research with honest backtests.
The common thread: turn a cash flow or a probability into a price, then ask what risk you are actually being paid to hold.

Last updated 2 July 2026 · sub-areas, difficulty mix and firm attributions on this page are compiled directly from the 75 finance problems in the QuantVault bank; firm tags are candidate-reported, not employer-verified, and no individual author is named in our source data.

Core sub-areas
Time value & arbitrage · fixed income · portfolio & risk · bet sizing · market making · alpha research & backtesting
Typical difficulty
Centered on medium — 23 easy, 34 medium and 18 hard across the 75-problem set
Who leans on it
Both research and trading loops — problems here carry candidate tags from Citadel, Two Sigma, WorldQuant, DRW, Flow Traders and others
Practice pool
75 problems in the bank · 9 free to open with the full worked solution

Where finance shows up: mostly in quant-research onsites and trader interviews, where it is the bridge round — the interviewer has seen you do probability and now wants a price, a hedge ratio or a position size. For how it sits inside specific funnels, see the Citadel interview questions guide and the Two Sigma interview questions guide.

Practice finance questions interactively → Browse the full problem bank All interview topics

The surfaceThe finance sub-areas quant interviews test

Six families cover essentially every finance question in the bank. Each row pairs a sub-area with the recurring question shape and a representative type — a flavor drawn from real problems, not a leaked wording — so you can see where the difficulty actually lives.

The finance sub-areas tested in quant interviews, with the recurring question shape and a representative question type for each.
Sub-areaRecurring shapeRepresentative type (flavor, not a real question)
Time value & no-arbitrage pricingDiscount every cash flow; if two ways to hold the same payoff differ in price, arbitrage itA compound-interest or continuous-compounding puzzle, or a cash-and-carry check between an ETF and its synthetic replication.
Fixed income: duration, convexity & curvesLinearize price in yield, then correct with convexity; build curves from what actually tradesApproximate a bond’s price change for a 50 bp move, hedge duration with two bonds, or bootstrap discount factors from par swap rates.
Portfolio theory & riskAggregate variance through correlation; separate the risk that diversifies from the risk that does notAn equal-weight portfolio’s volatility as positions are added, a beta-adjusted hedge, or VaR versus expected shortfall on fat-tailed returns.
Bet sizing & KellyMaximize log growth; size the position to edge over varianceThe Kelly fraction for a favorable bet, bankroll split across sequential bets, or sizing when the true edge is itself uncertain.
Market making & microstructureQuote two sides so the implied probabilities sum past one in your favor, then widen for adverse selectionConvert bookmaker odds to implied probabilities, set a minimal spread under correlation uncertainty, or decide whether to make or take.
Alpha research & backtestingDefine the signal precisely, then prove it survives costs and out-of-sample disciplineConstructing a cross-sectional momentum or Fama–French factor, hunting survivorship bias, or designing a walk-forward protocol.

What’s confirmed vs. what varies: the sub-areas and the difficulty mix above come straight from the problem set, so they are stable. Which firm asks which flavor is candidate-reported through problem tags — treat the firm attributions as directional, and expect research loops to weight the portfolio and backtesting families while trading loops lean on market making and bet sizing.

The patternsSignature finance question patterns

Three moves generate most correct answers in this topic. Each worked box below is a 60–90 second micro-example in the interview’s actual cadence — the reasoning template, applied to a generic setup rather than any firm’s wording.

Portfolio variance — correlation sets the floor

Takeaway: adding positions kills idiosyncratic variance at rate one over the number of names, but the average correlation term never leaves — that residue is the systematic risk you are paid for.

Shape. You hold \(N\) equally weighted assets, each with volatility \(\sigma\), every pair correlated at \(\rho\). What happens to portfolio volatility as \(N\) grows?

1. Write the variance. With equal weights, \(\sigma_p^2 = \frac{\sigma^2}{N} + \left(1-\frac{1}{N}\right)\rho\,\sigma^2\) — one own-variance term shrinking in \(N\), one correlation term that does not.

2. Take the limit. As \(N \to \infty\), \(\sigma_p^2 \to \rho\,\sigma^2\). Diversification is free until it hits this floor, then it is finished.

3. Put numbers on it. At \(\sigma = 20\%\) and \(\rho = 0.25\), twenty names already give \(\sigma_p \approx 10.7\%\) against a floor of \(10\%\). The move: name the floor before the interviewer asks why more positions stopped helping.

Duration and convexity — a second-order Taylor expansion in disguise

Takeaway: every bond price-move question is the same two-term expansion — duration gives the linear hit, convexity gives back a little on both up and down moves.

Shape. A bond has modified duration 5 and convexity 60. Yields rise 50 bp. Estimate the price change.

1. Linear term. \(-D\,\Delta y = -5 \times 0.005 = -2.5\%\).

2. Convexity correction. \(+\tfrac{1}{2} C (\Delta y)^2 = \tfrac{1}{2}\times 60 \times 0.005^2 = +0.075\%\).

3. Combine. \(\Delta P / P \approx -2.5\% + 0.075\% = -2.425\%\), and the same convexity term cushions a fall in yields into a gain slightly larger than \(2.5\%\). The move: state the sign story — positive convexity helps in both directions — before you finish the arithmetic.

Implied probabilities — the overround is the quote’s margin

Takeaway: invert prices into probabilities first; whatever they sum to beyond one is the margin the quoting side has built in, and normalizing recovers the fair view.

Shape. A two-outcome market quotes decimal odds 1.50 and 2.50. What do the prices imply, and where is the edge?

1. Invert. Implied probabilities are \(1/1.50 \approx 66.7\%\) and \(1/2.50 = 40\%\).

2. Sum. They total \(106.7\%\) — the extra \(6.7\) points is the overround, the bookmaker’s spread collected across both sides.

3. Normalize. Dividing through by 1.067 gives fair probabilities of \(62.5\%\) and \(37.5\%\); you have edge only where your own estimate beats the implied number, not the fair one. The move: this is exactly how a market maker’s two-sided quote works — say so, and the follow-up about adverse selection gets easier.

Free practiceFinance practice questions by difficulty

All 9 free problems from the 75-problem finance set, grouped by difficulty — every link opens the full worked solution, so you can check your reasoning line by line. One honesty note: the free pool spans the portfolio, fixed-income, market-making and backtesting families, but the bank’s time-value and Kelly-sizing problems currently sit in the paid tier — the worked examples above and the prep plan below cover those moves.

Easy — warm-ups that interviews use as pace-setters

Medium — the level most finance rounds actually run at

Hard — the separators, built to be derived rather than recalled

The planHow to prepare for finance questions

Five techniques to make reflexive, in the order they pay off. Each maps onto a family in the table above, so you can drill it immediately after reading.

  1. Make the portfolio variance identity automatic. Two-asset variance, then the equal-weight \(N\)-asset form and its correlation floor — most portfolio questions are one of these two formulas plus a limit or a derivative.
  2. Memorize the duration–convexity expansion with its units. Know it as a Taylor series, keep basis points and percent straight, and be ready to hedge duration with a second bond — that extension is the standard follow-up.
  3. Convert odds to implied probabilities on sight. Invert, sum, read the overround as the quoting side’s margin, normalize for the fair view — the same loop prices sports books, election markets and a market maker’s two-sided quote.
  4. Size with edge over variance, then explain why you would bet less. State the Kelly fraction, then the caveat interviewers listen for: the estimate of the edge is noisy, and full Kelly is brutally sensitive to overestimating it.
  5. Treat every backtest claim as a hypothesis under attack. Ask about transaction costs, survivorship bias and walk-forward discipline before quoting a Sharpe. Then run the free practice set and take the interactive finance playlist on a clock.

FAQFinance interview questions — frequently asked

How important is finance knowledge for quant interviews?

It is the domain layer on top of probability and statistics: the round where interviewers check you can turn math into a price, a hedge or a position. Fresh graduates get more slack on vocabulary, but portfolio variance, duration and implied probabilities are treated as fair game for everyone.

What finance topics should I focus on?

Portfolio variance and correlation, duration and convexity, and implied probabilities cover the most ground. Round it out with Kelly-style bet sizing and backtest hygiene — costs, survivorship bias and out-of-sample discipline — which is where research interviews spend their time.

How hard are finance interview questions?

Centered on medium: of the 75 problems in this set, 23 are easy, 34 are medium and 18 are hard. Most reward knowing the canonical formula and its assumptions; the hard tail asks you to derive or stress the formula rather than recall it.

Are these real quant interview questions?

They are representative, not verbatim. The problems are curated from our bank to match the finance question shapes candidates report from quant interviews, rewritten for clarity with worked solutions we author ourselves — we never claim any wording is a leaked question.