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Statistics interview questions

11 statistics questions of the kind asked in quant finance interviews. Each carries a model answer, the concepts a complete response must hit, and graded feedback on your own attempt.

1.Calculating Two-Asset Portfolio Volatility

Easy

Quant-risk candidates are expected to translate a correlation assumption into a portfolio-risk estimate without confusing volatility with return.

A portfolio is 50% in Asset A with 20% annual volatility and 50% in Asset B with 10% annual volatility. Their correlation is 0.25. Calculate the portfolio's annual volatility and explain what drives the diversification…

Commonly asked at Goldman Sachs, BlackRock, AQR~8 min
Model answer & graded attempt

2.Correlation Is Not a Trading Signal

Easy

An early research screen that tests statistical hygiene before a candidate proposes a signal.

You find that a stock rose on 70% of the days when a popular sports team won. Can you trade this result? What checks would you run before treating it as evidence?

Commonly asked at Citadel, Two Sigma, D. E. Shaw~8 min
Model answer & graded attempt

3.Reconciling a Signal's Rank With Returns

Easy

A practical junior-researcher question testing whether you can calculate and interpret a simple rank-based signal diagnostic.

A signal ranks four stocks from strongest to weakest as A, B, C, D. Their next-month realised-return ranks from best to worst are A, C, B, D. Using Spearman rank correlation, calculate the information coefficient. What…

Commonly asked at AQR, Two Sigma, D. E. Shaw~8 min
Model answer & graded attempt

4.Standardising a Research Signal

Easy

A common first-round check that you can make differently scaled signals comparable before combining them.

A stock's 12-month earnings-revision score is 18. Across the investable universe, the score has a mean of 10 and standard deviation of 4. What is its z-score, and why might a quant researcher use it rather than the raw…

Commonly asked at AQR, Man Group, Two Sigma~7 min
Model answer & graded attempt

5.What Expected Shortfall Adds to VaR

Easy

Market-risk teams use this first-round question to test whether candidates understand the loss tail rather than only a headline metric.

What is expected shortfall, and why might a risk team use it alongside a 99% VaR?

Commonly asked at J.P. Morgan, Citadel, PIMCO~7 min
Model answer & graded attempt

6.Correlation, Causation and Spurious Signals

Medium

Quant research interviews probe statistical judgement over formula recall.

A researcher backtests 200 signals and finds one with a t-statistic of 2.5 predicting next-day returns. Should you trade it? Explain what's wrong and what you'd require instead.

Commonly asked at AQR, Man Group, Two Sigma~11 min
Model answer & graded attempt

7.Reading a Regression Output

Medium

Quant research interviews hand you output and ask what it means.

You regress a stock's returns on the market and get beta 1.2 (standard error 0.15), alpha 0.3% monthly (standard error 0.4%), and R² of 0.45. What do you conclude?

Commonly asked at AQR, Man Group, Two Sigma~11 min
Model answer & graded attempt

8.VaR Backtesting Exceptions

Medium

A market-risk interview often tests whether you can diagnose a model exception without overreacting to one data point.

A desk's 99% one-day VaR is breached six times over 250 trading days. How do you interpret that result and investigate it?

Commonly asked at J.P. Morgan, Barclays, Deutsche Bank~10 min
Model answer & graded attempt

9.When Diversification Fails

Medium

Risk interviews use this question to distinguish a correlation calculation from an understanding of regime risk.

A portfolio manager says two positions are safe together because their trailing three-year correlation is -0.2. Why might that conclusion fail in a crisis, and how would you challenge it?

Commonly asked at Bridgewater, Millennium, BlackRock~10 min
Model answer & graded attempt

10.From Win Rate to Sharpe Ratio

Hard

Systematic trading interviews use this to test whether you can reason about strategy economics.

A strategy makes 250 trades a year, wins 55% of the time, and wins and losses are the same size (1 unit). Estimate the annual Sharpe ratio. What does this tell you about how much edge a systematic strategy actually…

Commonly asked at Citadel Securities, Jane Street, Jump Trading~12 min
Model answer & graded attempt

11.When Does Linear Regression Break?

Hard

Standard for quantitative research and risk roles.

What are the assumptions behind OLS regression? Which are most frequently violated in financial data, and what do you do about it?

Commonly asked at Citadel, AQR, Man Group~13 min
Model answer & graded attempt

Practise these under interview conditions.

Write your answer, get it graded on technical accuracy, completeness and communication, and see exactly which mechanic you missed.

Firm names indicate where a question type is commonly reported in interviews. They are not sourced from, endorsed by, or affiliated with the firms named.

Statistics interview questions · Prepalyst