Quant Interview Practice Questions

1,000+ quant interview questions for Jane Street, Citadel, Two Sigma, DE Shaw, and other top quantitative finance firms.

Quant Researcher Questions (100)

Statistical analysis and quantitative modeling problems

  • Amihud Illiquidity Ratio - easy statistical_analysis question
  • Sortino Ratio - easy statistical_analysis question
  • KDE Value-at-Risk Estimate - hard statistical_analysis question
  • Coskewness Matrix - hard portfolio_optimization question
  • Modified Sharpe Ratio - medium risk_management question
  • Realized Variance Signature Plot - medium time_series question
  • Rolling Volume-Weighted Average Price - easy data_manipulation question
  • Absorption Ratio - easy risk_management question
  • Exponentially Weighted Quantile - medium statistical_analysis question
  • Cross-Sectional Factor Neutralization - medium machine_learning question
  • Tick Imbalance Bars - hard data_manipulation question
  • Lead-Lag Cross-Correlation - medium time_series question
  • Heston Stochastic Volatility Call Price - hard options_pricing question
  • Garman-Klass-Yang-Zhang Volatility - medium statistical_analysis question
  • Hawkes Process Intensity - medium stochastic_processes question
  • Kyle's Lambda Estimation - medium statistical_analysis question
  • Garman-Kohlhagen FX Option Price - easy options_pricing question
  • Bachelier Option Price - easy options_pricing question
  • Carr-Madan Fourier European Call Price - hard derivatives question
  • Detrended Fluctuation Analysis Exponent - medium time_series question
  • Corwin-Schultz High-Low Spread Estimator - medium data_manipulation question
  • Herfindahl-Hirschman Portfolio Concentration - easy portfolio_optimization question
  • Kendall's Tau Rank Correlation - easy statistical_analysis question
  • Baxter-King Band-Pass Filter - medium time_series question
  • Cochrane-Orcutt GLS Regression - medium statistical_analysis question
  • Merton Jump-Diffusion Call Price - hard derivatives question
  • EWMA Kurtosis Estimator - medium statistical_analysis question
  • Treynor Ratio - easy portfolio_optimization question
  • Clark-West Forecast Comparison Test - medium statistical_analysis question
  • Modified Dietz Return - medium portfolio_optimization question
  • GPD Tail VaR (Peaks Over Threshold) - hard risk_management question
  • Wald-Wolfowitz Runs Test - medium statistical_analysis question
  • Omega Ratio - medium risk_management question
  • Breusch-Pagan Heteroskedasticity Test - hard statistical_analysis question
  • Circular Block Bootstrap Confidence Interval - hard statistical_analysis question
  • Spectral Risk Measure - hard risk_management question
  • Linear Quantile Regression - medium statistical_analysis question
  • Effective Number of Bets - medium portfolio_optimization question
  • Lopez VaR Scoring Rule - easy risk_management question
  • Augmented Dickey-Fuller Test Statistic - hard statistical_analysis question
  • Ornstein-Uhlenbeck MLE Calibration - hard time_series question
  • Kalman Filter for 1D State-Space Model - medium time_series question
  • Parametric Expected Shortfall - easy risk_management question
  • Yule-Walker Partial Autocorrelation - medium time_series question
  • Marginal Contribution to Parametric VaR - hard risk_management question
  • Hamilton Regime-Switching Filter - hard time_series question
  • EWMA Skewness Estimator - medium statistical_analysis question
  • EWMA Pearson Correlation - easy risk_management question
  • Sample Autocorrelation Function - medium time_series question
  • Theil-Sen Robust Slope Estimator - medium statistical_analysis question
  • Two-Sample Kolmogorov-Smirnov Statistic - easy statistical_analysis question
  • EWMA Beta Hedge Ratio - medium risk_management question
  • Hill Estimator for Tail Index - hard risk_management question
  • Gerber Statistic - medium statistical_analysis question
  • Marchenko-Pastur Eigenvalue Clipping - hard machine_learning question
  • Ulcer Index - medium risk_management question
  • Variance Inflation Factor - medium statistical_analysis question
  • Spearman Rank Correlation - easy statistical_analysis question
  • Down-and-Out Call Option - hard options_pricing question
  • Margrabe's Exchange Option - medium options_pricing question
  • Mean-Reversion Half-Life via OLS - medium time_series question
  • Conditional Drawdown at Risk - medium risk_management question
  • Weighted Pearson Correlation - easy statistical_analysis question
  • Two-State Hidden Markov Model: Viterbi Decoding - hard machine_learning question
  • Oracle Approximating Shrinkage (OAS) Covariance Estimator - medium data_manipulation question
  • Realized Semivariance Decomposition - medium time_series question
  • Implementation Shortfall - easy backtesting question
  • Bootstrap Confidence Interval for Sharpe Ratio - easy statistical_analysis question
  • Geometric Brownian Motion MLE - medium time_series question
  • Factor Model Residual Decomposition - medium machine_learning question
  • Merton Distance-to-Default - hard risk_management question
  • Upside/Downside Capture Ratios - easy backtesting question
  • Dynamic Time Warping Distance - medium time_series question
  • Hierarchical Risk Parity Portfolio Weights - hard portfolio_optimization question
  • Cornish-Fisher Parametric VaR - medium risk_management question
  • GJR-GARCH(1,1) Conditional Variance Sequence - medium time_series question
  • PSD Matrix Repair via Eigenvalue Clipping - medium data_manipulation question
  • Diebold-Mariano Forecast Comparison Test - easy statistical_analysis question
  • Hurst Exponent via Rescaled Range Analysis - medium time_series question
  • Realized Kernel Variance with Bartlett Correction - hard statistical_analysis question
  • GARCH(1,1) Log-Likelihood - medium statistical_analysis question
  • AR(p) Order Selection via AIC - medium time_series question
  • Yang-Zhang OHLC Volatility Estimator - easy statistical_analysis question
  • Parkinson Range-Based Volatility - easy statistical_analysis question
  • Parametric Component VaR - medium risk_management question
  • Christoffersen Conditional Coverage Backtest - hard backtesting question
  • Durbin-Watson Autocorrelation Statistic - easy statistical_analysis question
  • Black-Scholes Delta, Gamma, and Vega - medium options_pricing question
  • CRR Binomial Tree European Option Pricing - medium options_pricing question
  • Maximum Diversification Portfolio - hard portfolio_optimization question
  • Probabilistic Sharpe Ratio - hard statistical_analysis question
  • Kupiec Proportion of Failures VaR Backtest - medium risk_management question
  • ARCH LM Test for Conditional Heteroscedasticity - medium time_series question
  • Cramer-von Mises Normality Test - medium statistical_analysis question
  • Pairs Trading Z-Score Signal - medium backtesting question
  • Dollar Bar Construction - medium data_manipulation question
  • Yield to Maturity via Newton-Raphson - medium options_pricing question
  • Recursive Least Squares with Forgetting Factor - hard time_series question
  • Garman-Klass Volatility Estimator - medium risk_management question
  • Nelson-Siegel Yield Curve Fit - medium options_pricing question

Quant Trader Questions (50)

Trading MCQs, probability brainteasers, and market scenarios

  • Expected Value of Perfect Information - hard Conditional Expected Value question
  • Zipf Distribution in Order Flow - hard Market Microstructure question
  • One-Step Binomial Model: Risk-Neutral Probability - medium Options & Greeks question
  • Curse of Dimensionality in Finance - medium Data Science question
  • Markov Chain Steady State - hard Probability & Statistics question
  • Dark Pool Midpoint Fill - medium Market Microstructure question
  • Contango and Roll Yield - easy Finance question
  • Drunkard's Walk - hard Probability & Statistics question
  • Order Book Data Structure - medium Number Theory & Algorithms question
  • Portfolio Aggregate Delta Calculation - medium Options & Greeks question
  • Entropy of a Fair Die - medium Probability & Statistics question
  • S&P 500 Backtest Bias - medium Regression Analysis question
  • Lévy Flight Trader - hard Probability & Statistics question
  • Conditional Independence and Marginal Independence - medium Conditional Probability question
  • False Discovery Rate Control - hard Regression Analysis question
  • Covariance Calculation - easy Probability & Statistics question
  • Jensen's Inequality and Log Returns - medium Probability & Statistics question
  • Poisson Arrival Probability - easy Probability & Statistics question
  • Volatility Drag Calculation - medium Finance question
  • Memory-Mapped Tick Data - medium Networking & Systems question
  • Jumbo Frames and Throughput - easy Networking & Systems question
  • TCP Congestion Control Impact - medium Networking & Systems question
  • Kernel Ring Buffer Performance - hard Networking & Systems question
  • NUMA-Aware Memory Allocation - hard Networking & Systems question
  • Spin Lock vs Mutex - medium Networking & Systems question
  • Context Switching and Thread Pinning - medium Networking & Systems question
  • MESI Protocol and False Sharing - hard Networking & Systems question
  • Zero-Copy Latency Impact - hard Networking & Systems question
  • Nagle's Algorithm Latency Impact - medium Networking & Systems question
  • PTP vs NTP Precision - medium Networking & Systems question
  • FPGA vs CPU Order Processing - medium Networking & Systems question
  • Multicast vs. Unicast Market Data - medium Networking & Systems question
  • DPDK Latency Reduction - hard Networking & Systems question
  • TCP vs UDP for Market Data - easy Networking & Systems question
  • Swaption Pricing Model - hard Algorithms & Data Structures question
  • Cross-Currency Swap Features - hard Financial Instruments question
  • TIPS Principal Adjustment - medium Algorithms & Data Structures question
  • Callable Bond Convexity - hard Algorithms & Data Structures question
  • Convertible Bond Embedded Option - hard Algorithms & Data Structures question
  • Repo Rate and Financing - medium Algorithms & Data Structures question
  • Immunization with Duration Matching - medium Algorithms & Data Structures question
  • Bootstrapping a Yield Curve - hard Algorithms & Data Structures question
  • Z-Spread vs OAS on Callable Bonds - hard Algorithms & Data Structures question
  • Credit Default Swap Trigger Event - medium Algorithms & Data Structures question
  • OIS-SOFR Spread Interpretation - medium Algorithms & Data Structures question
  • Swap Rate vs. Par Rate - medium Algorithms & Data Structures question
  • Key Rate Duration vs. Effective Duration - hard Algorithms & Data Structures question
  • DV01 Calculation - medium Algorithms & Data Structures question
  • Bond Price Change Approximation - medium Algorithms & Data Structures question
  • Decimal Precision in Trading - easy Code Analysis question

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Effective vs. Quoted Spread - Quant Researcher Interview Question

Difficulty: Medium

Category: market microstructure

Practice quant interview questions from top firms including Jane Street, Citadel, Two Sigma, DE Shaw, and other leading quantitative finance companies.

Topics: microstructure, liquidity, pandas, numpy

Problem Description

The quoted spread represents the displayed cost of trading based on the best bid and ask prices, while the effective spread captures the actual cost paid by traders relative to the mid-price, accounting for price improvement and impact. These metrics are fundamental for transaction cost analysis (TCA) and algorithmic trading strategy evaluation. Task Implement a function solution(trade_prices, bids, asks) that calculates the average Quoted Spread and average Effective Spread for a sequence of t

Practice this medium researcher interview question on Myntbit - the all-in-one quant learning platform with 1000+ quant interview questions for Jane Street, Citadel, Two Sigma, and other top quantitative finance firms.

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