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The QuantVault problem bank
3,446 quant interview problems with worked solutions, across 17 topics. 486 problems are free with full step-by-step solutions — no account needed. The rest are part of QuantVault Pro.
Practice every firm's OA: timed replicas, free game replicas and guides in one place →
Topics
- Coding — 802 problems
- Probability — 586 problems
- Expectation — 450 problems
- Statistics — 206 problems
- Combinatorics — 181 problems
- Regression — 171 problems
- Brain Teaser — 139 problems
- Options Pricing — 138 problems
- Optimization — 130 problems
- Game Theory — 102 problems
- Finance — 96 problems
- Machine Learning — 94 problems
- Market Microstructure — 81 problems
- Stochastic Process — 77 problems
- Linear Algebra — 76 problems
- Time Series — 67 problems
- Random Variables — 50 problems
Free problems with full solutions
- Identifying a Truth-Teller With One Question Brain Teaser · medium
- Poisoned Bottle Identification with Binary Testing Brain Teaser · medium
- Breaking a Stick into a Triangle Probability · easy
- Expected Time for All Ants to Fall Off a Stick Expectation · hard
- HHT Before THH in Coin Flips Probability · medium
- Mislabeled Bins Brain Teaser · easy
- Monty Hall With Envelopes Probability · medium
- Optimal Stopping: Three-Roll Dice Game Expectation · medium
- The Secretary Problem Expectation · hard
- Acute Triangle from Random Points on a Circle Probability · medium
- Airplane Boarding Problem Expectation · medium
- Bertrand's Box Paradox Probability · easy
- Bugs on a Bar Expectation · medium
- Eight Coins, One Heavier: Two Weighings Combinatorics · medium
- Expected Payoff of the Red-Black Card Game Expectation · hard
- Expected Sum of Rolls in the Coupon Collector Problem Expectation · medium
- Fair Outcome from an Extremely Biased Coin Probability · hard
- Five Points on a Hemisphere Probability · hard
- Four Switches, One Light Bulb Brain Teaser · medium
- Hilbert's Hotel: Accommodating Infinite Guests Brain Teaser · medium
- Keep or Play: Optimal Replay in a Coin-Flipping Game Expectation · medium
- Optimal Coin Pair Reflipping Expectation · medium
- Optimal Sample Size Before a Directional Bet Expectation · hard
- Optimal Switching in the Two Envelope Problem Probability · medium
- Parity of the Last Element in a Set Reduction Game Brain Teaser · medium
- Witness Reliability and Bayes' Theorem Probability · medium
- Counterfeit Coin With One Weighing Brain Teaser · easy
- Coupon Collector's Problem Expectation · medium
- Expected Number of Fixed Points in a Random Permutation Expectation · medium
- Expected Winnings of a Repeat-Stop Dice Game Expectation · medium
- Gambler's Ruin on a Fair Coin Probability · easy
- Marble Parity Puzzle Probability · medium
- Two Children and a Boy Probability · easy
- Average Speed Over Two Laps Brain Teaser · medium
- Bayesian Die Identification Probability · easy
- Beating a Loaded Die Probability · easy
- Birthday Problem Probability · easy
- Blind Coin Flip Strategy Brain Teaser · easy
- Bridge and Lantern Crossing Optimization Optimization · medium
- Brownian Motion Exit From an Interval Stochastic Process · hard
- Coin Swap II: Equal Winning Probability Probability · medium
- Consecutive Wins Game Probability · medium
- Dice With All Pairwise Sums Represented Combinatorics · medium
- Even vs Odd Heads and Coin Fairness Probability · medium
- Expected Arc Length Between Random Points on a Sphere Expectation · medium
- Expected Draws to First Ace Expectation · medium
- Expected Number of Local Maxima in a Circle Expectation · medium
- Expected Number of Loops from Tying Rope Ends Expectation · medium
- Expected Number of Uniforms to Exceed One Expectation · easy
- Expected Number of Uniforms to Exceed a Threshold Expectation · medium
- Expected Value of a Coin Flip Game Expectation · easy
- Gambler's Ruin with Biased Dice Probability · medium
- Guaranteed Birth Month Match: Pigeonhole Principle Combinatorics · easy
- HTH vs HH: Which Pattern Appears First? Stochastic Process · medium
- Jointly Normal and Uncorrelated Implies Independent Probability · medium
- Limiting Distribution of Fixed Points of a Random Function Probability · medium
- Matching Colors from Two Jars Probability · easy
- Monte Carlo Backtest of Kelly and Fractional Kelly Strategies Expectation · medium
- Monty Hall With 100 Doors Probability · easy
- Optimal Kelly Bet Sizing for a Mean-Reversion Signal Optimization · medium
- Optimal Stopping for Maximum of Uniforms Expectation · hard
- Optimal Stopping in a Blue-Red Ball Draw Game Theory · hard
- Order Statistics: Expectations and Densities for Uniform Samples Expectation · medium
- Pattern Race: HTH vs HHT Probability · medium
- Pirate Game and Coupon Collector's Problem Game Theory · easy
- Probability No One Gets Their Own Hat Probability · medium
- Probability Two Friends Sit Adjacent in a Row Probability · easy
- Probability a Random Triangle Contains the Center of a Circle Probability · medium
- Probability a Three-Legged Disk Table Stands Probability · medium
- Simpson's Paradox with Poisson Scoring Probability · hard
- Splitting One Uniform Into Two Independent Uniforms Probability · medium
- Tightest Moment Bound on a Tail Probability Probability · hard
- Total Score of a Random Partitioning Game Combinatorics · medium
- Unbiased Coin from a Biased Coin Expectation · medium
- Unknown Die with Uniform Sum Probability · easy
- Variance and Expectation Inequality Random Variables · easy
- Wallet Bid: Conditional Expected Total Expectation · medium
- Weekend Rain Bounds via Frechet-Hoeffding Probability · medium
- Absorption Probability on a Finite Random Walk Stochastic Process · hard
- Bayesian Coin Selection and Sequential Betting Probability · medium
- Breaking Even in a Coin Game Probability · medium
- Dice Sum vs. Coin Flip Count Probability · medium
- Distance Between Two Random Cutpoints Probability · medium
- Distinct Outcomes in Dice Rolls Probability · medium
- Expected Sum of Dice Rolls Until a Target Face Expectation · medium
- Generalized Monty Hall: n Doors Probability · medium
- Last Roll of a Cumulative Sum Game Expectation · easy
- Matching Multiset of Three Dice Rolls Probability · hard
- Maximize Red Marble Probability with Two Drawers Probability · medium
- Maximum of Multiple Dice Rolls Probability · easy
- Non-Transitive Dice Probability · easy
- Optimal Card Betting With a Known Deck Game Theory · hard
- Perfectly Balanced Dice Rolls Probability · medium
- Pirate Hat Puzzle: Cooperative Parity Strategy Game Theory · medium
- Poisson Limit of Lottery Winners Probability · medium
- Posterior Probability of a Double-Headed Coin Probability · easy
- Posterior for a Double-Headed Coin Probability · easy
- Probability That 1 Was Selected Given Increasing Order Probability · hard
- Probability of a Void Suit in a Card Hand Probability · medium
- Simulating a 2:3 Odds Ratio with Fair Coins Probability · medium
- Triangle Sharing a Side with a Regular Polygon Probability · medium
- Winning From Deuce With a Weaker Serve Probability · medium
- Age Whose Square Is the Year Brain Teaser · easy
- All Evens Before Any Odd on a Fair Die Probability · medium
- Bayesian Coin Identification Probability · easy
- Biased Random Walk Reaching Position 1 Probability · medium
- Corner Absorption From a 3x3 Center Stochastic Process · medium
- Day of the Week for January 1, 2078 Brain Teaser · medium
- Edit Distance (Levenshtein Distance) Coding · medium
- Even Heads with Mixed Fair and Unfair Coins Probability · medium
- Expected Rolls to Reach Position 10 in a Symmetric Random Walk Expectation · medium
- Expected Sum of Two Dice with Cancellation on Doubles Expectation · medium
- Half-Kelly Betting With Equal Wins and Losses Expectation · medium
- Optimal Guess in a Dice Payout Game Expectation · medium
- Probability That Uniform Plus Exponential Exceeds One Probability · medium
- Probability That a Uniform Quotient Lies in an Interval Probability · medium
- Probability That the Product of Three Dice Is Prime Probability · easy
- Probability a Group Sits Together at a Circular Table Probability · hard
- Probability of Exactly One Win Before Bankruptcy Probability · medium
- Probability of Three of a Kind in a 5-Card Hand Probability · medium
- Probability via Area: Point Above a Parabola in a Unit Circle Probability · medium
- Random Walk on a Telephone Pad: Divisibility by 2 Probability · medium
- Two-Digit Number Whose Digit Product Equals Half Itself Brain Teaser · easy
- Aces Before Kings: Probability via Exchangeability Probability · medium
- Bayesian Coin Inference and Kelly Betting with Beta Prior Expectation · hard
- Conditional Marble Draw with Three Colors Probability · medium
- Conditional Probability Under Sample Space Reduction Probability · easy
- Conditional Probability of a Weekend Party Day Probability · easy
- Counting Proper Parenthesizations (Catalan Numbers) Combinatorics · medium
- Defective Cat Plushie Expectation · medium
- Even vs. Odd Heads: Does Symmetry Force Fairness? Probability · medium
- Expected Absolute Value of a Normal Random Variable Expectation · medium
- Expected Adjacent Couples at a Round Table Expectation · medium
- Expected Distance to Escape a Room Expectation · medium
- Expected Flips for Consecutive Heads Expectation · medium
- Expected Flips for Two Consecutive Heads Expectation · medium
- Expected Hitting Time of a Birth-Death Chain Expectation · hard
- Expected Insertions to Pay a Parking Meter Expectation · medium
- Expected Mid Change From Poisson Order Flow Expectation · medium
- Expected Rolls Until Cumulative Sum Reaches n Expectation · medium
- Expected Rolls for a Consecutive 4-5 Sequence Expectation · medium
- Expected Steps Between Circle Intersections Expectation · medium
- First Repeated Die Roll Probability · medium
- First-Passage Probabilities and Optimal Barriers for Brownian Motion with Drift Stochastic Process · hard
- Fixed Point Probability in a Random Permutation Probability · easy
- Futures Exchange Data Feed Delay Probability · medium
- Generate Uniform 1-7 from Uniform 1-5 Probability · medium
- Glosten-Milgrom Zero-Profit Bid-Ask Quotes Market Microstructure · medium
- Last Marble Standing Probability · medium
- Last White Kitten with Three Black Remaining Probability · medium
- Lily Pad Doubling: Head Start Problem Brain Teaser · easy
- Lions and Gazelle: Backward Induction Game Theory · easy
- Marble Transfer: Conditional Probability Probability · easy
- Matching Royals: Each Player Gets One of Each Rank Probability · medium
- Minimal Market Spread Under Correlation Uncertainty Finance · hard
- Minimum Tests to Find the Broken Revision Combinatorics · easy
- Monte Carlo Methods and Variance Reduction Probability · medium
- Non-Adjacent Selection from 1 to 10 Probability · medium
- Odd Die, Even Result After Subtraction Probability · easy
- Pattern Waiting Time Expectation · hard
- Pirate Gold Division: Extending the Pattern Game Theory · hard
- Posterior Fair Value from Noisy Signal Probability · medium
- Posterior Probability of Gender Given Infection Probability · easy
- Prime Picker Expected Payoff Expectation · easy
- Probability a Random Subset Is Contained in Another Probability · medium
- Probability the Last Die Roll Is Two When Summing Past 100 Probability · hard
- Race to Three Heads Probability · hard
- Rainbow Train Rearrangement Probability · medium
- HTH vs HTT Pattern Race Probability · medium
- Random Walk on a Table -- Expected Steps to Fall Off Expectation · medium
- Scotty's Car Between Vacant Spots Probability · medium
- Stationary Distribution of a Candy Conveyor Belt Markov Chain Probability · easy
- The Birthday Problem: Shared Birthdays in a Room Probability · easy
- The Other Ball in the Box Probability · easy
- Three-Way Duel With Rational Players Game Theory · hard
- Tic-Tac-Toe by Random Ball Placement Probability · medium
- Trade-by-Trade Realized P&L Engine With FIFO Matching Coding · hard
- Two Marks in the Same Region Probability · easy
- Uniform Point in the Unit Disk Without Rejection Random Variables · medium
- Uniform Sum Distribution with Non-Fair Dice Probability · hard
- Unreliable Witness and Bayes' Theorem Probability · easy
- Add Two Numbers (Linked List) Coding · easy
- Bayesian Posterior with Two Binary Signals Probability · easy
- Chebyshev Bound for Bivariate Normal Difference Probability · medium
- Counting Friend Circles Coding · medium
- Dice Payoff: Product of Two vs. Square of One Expectation · easy
- Expected Chord Length Through a Disk (Random Radius Method) Expectation · medium
- Expected Distinct Cards from Packs Expectation · easy
- Expected Payoff of a Capped Coin-Flip Game Expectation · medium
- Expected Rolls to See an Odd Number Expectation · easy
- Expected Sum Until Rolling a 1 Expectation · medium
- Gaussian Half-Space Probability Probability · hard
- Lucky Lottery Probability Probability · easy
- Maximum Fair Penalty in a Dice Payout Game Expectation · medium
- Mean and Variance of a Mixture of Normals Expectation · medium
- Minimum Number of Rooms for Interval Partitioning Coding · medium
- Monte Carlo Estimation of Pi and e Probability · medium
- Probability of More Heads Than Tails With Odd Flips Probability · easy
- Probability of Truth Given Corroboration Probability · medium
- Sample Mean of a Product Sequence Probability · medium
- Snake Weight System of Equations Brain Teaser · easy
- The Fly Between Two Cars Expectation · easy
- Tyre Rotation for Maximum Distance Brain Teaser · medium
- 24 Game Solver Coding · medium
- Closest Median Profit Between Traders Coding · medium
- Conditional Expectation of Brownian Motion Given Its Absolute Value Expectation · medium
- Convex Quadrilateral from Random Chords Probability · medium
- Correlation Under Linear Transformations Random Variables · easy
- Eigenvalues of a Rank-1 Matrix Linear Algebra · easy
- Expected Adjacent Boy-Girl Pairs in a Random Line Expectation · medium
- Expected Length of a Zigzag Prefix Expectation · hard
- Expected Positions Exceeding Values in a Random Permutation Expectation · easy
- Expected Runs in a Card Deck Expectation · medium
- Expected Steps to Remove a Random Subtree Tree Expectation · medium
- Fair Dice Comparison: d20 vs. 3d6 Probability · medium
- Hitting a Fixed Target with a Growing Die Probability · hard
- How Many Green Gloves in the Box? Probability · easy
- MLE for a Bernoulli Parameter Statistics · easy
- Mean and Variance of a Clipped Normal Expectation · medium
- Optimal Blind Buy Time in a Three-State Process Stochastic Process · hard
- Posterior Return Probability with Binary Regime Indicators Probability · medium
- Probability of Four of a Kind in a 5-Card Poker Hand Probability · easy
- Standard Deviation of Nested Halving Intervals Expectation · medium
- Standard Normal MGF and Even Moments Expectation · medium
- C++ Class Design: 2D Point with Coordinates and Hashing Coding · medium
- C++ unordered_map Default Value Behavior Coding · easy
- C++: const Pointer Declarations Coding · easy
- Conditional Uniform Selection: Expected Value Expectation · easy
- Count Even-Product Triplets Combinatorics · easy
- Design Tic-Tac-Toe Coding · medium
- Distinct Orders to Break Stacked Targets Combinatorics · medium
- ETF Tracking Error: Tail Probability and VaR Statistics · hard
- Expected Radial Distance on a Circular Disk Expectation · easy
- Fast Exponentiation by Squaring Coding · easy
- Finding the Heavy Bean With a Balance Scale Combinatorics · medium
- Finding the k-th Hamming Number Coding · medium
- Limit of the Fibonacci Ratio Brain Teaser · easy
- Maximum Handshakers in a Room Combinatorics · easy
- Nim-Style Counting Game: Optimal Strategy and Losing Positions Game Theory · medium
- Numerically Stable Log-Sum-Exp and Softmax Coding · medium
- Optimal Strategy for Rolling a 20-Sided Die with 100 Chances Game Theory · medium
- Optimal Strategy for a Three-Card Game Game Theory · medium
- Probability That All Faces Appear in Consecutive Rolls Probability · hard
- Quickselect: Finding the K-th Smallest Element Coding · medium
- Ruler Length from Colored Segments Combinatorics · easy
- Shortest Subarray with Exactly K Distinct Values Coding · hard
- Sum of Weights From Pairwise Sums Combinatorics · easy
- Three Sum Coding · medium
- Three-Card Straight From Combined Decks Probability · medium
- Three-State Subset Count with Bold Elements Combinatorics · easy
- Two-Suit Five-Card Hand Count Combinatorics · easy
- Alternating Sum of Squares Combinatorics · easy
- Approximating Zeros of a Continuous Function Coding · medium
- Correct Interpretation of a Frequentist Confidence Interval Statistics · easy
- Counting Digit Occurrences in a Range Combinatorics · hard
- Design a Class with Save and N-th Smallest Query Coding · medium
- Digits of 2^1000 and 5^1000 Written Side by Side Combinatorics · easy
- Dividing Students into Labeled Groups Combinatorics · medium
- Expected Value and Variance of the Absolute Difference of Uniforms Expectation · medium
- Expected Value of the Geometric PMF at Its Own Random Variable Expectation · medium
- Expected Value of the Minimum of Two Uniforms Expectation · easy
- Integer Arithmetic on Decimal Strings Coding · medium
- Largest Fancy Number At Most N Combinatorics · hard
- Limit of Integer Partition Count Combinatorics · medium
- Maximum Drawdown in a Sliding Window Time Series · hard
- Merging Two Sorted Lists by City and Timestamp Coding · easy
- Number of Islands in a Grid Coding · easy
- Poisson Probability Generating Function Expectation · easy
- Restricted Rock-Paper-Scissors Nash Equilibrium Game Theory · medium
- Sharing a Secret: Locks and Keys Combinatorics · medium
- Space Station Population Capacity Brain Teaser · easy
- Sum of Integers Without Digits 7 or 8 Combinatorics · easy
- Top META Trader by Transaction Volume Coding · medium
- Two-Sum on a Sorted Array Coding · easy
- Bayes-Optimal Decision Rule for a Noisy Signal Game Theory · medium
- Counting Game to 200 Game Theory · medium
- Eigenvalue Interpretation in PCA Linear Algebra · easy
- Expected Wait for Two Independent Train Lines Expectation · medium
- Joint Normal Conditional Probability Probability · hard
- Market Making the Population Guessing Game Game Theory · medium
- Maximum Profit from Stock Trades Coding · easy
- Minimax Card Number Assignment Game Theory · hard
- Newton's Method for Square Roots Optimization · medium
- Single-Elimination Tournament Bracket Count Combinatorics · easy
- Streaming Maximum Drawdown With Rolling Window Coding · medium
- Streaming Quantile Approximation with T-Digest Coding · hard
- Variance of an Exponentiated Gamma Random Variable Expectation · medium
- Bayesian Posterior for a Biased Die Statistics · medium
- Binomial Tree Option Pricer Options Pricing · medium
- Black-Scholes Assumptions and the American Call Delta Options Pricing · medium
- Blackjack Bonus Wagering Strategy Game Theory · medium
- Card Game: Redraw vs. Switch Option Game Theory · medium
- Compiler-Generated Special Member Functions in C++ Coding · easy
- False Discovery in Alpha Mining Statistics · medium
- K-Means Clustering From Scratch Machine Learning · medium
- Mean as the Minimizer of Squared Loss Optimization · easy
- Numerical / Monte Carlo Greek Estimation Options Pricing · hard
- Omitted Variable Bias and Suppressor Variables Regression · hard
- Out-of-Distribution Prediction: Dog Weight Regression Machine Learning · easy
- Proportional Resource Sharing Combinatorics · easy
- Python yield and C++ friend/static Keywords Coding · easy
- R-Squared Invariance Under Transformations Regression · easy
- Range of Reverse Regression Slope Given Forward Slope Regression · medium
- Smallest Multiple of 66 At Least 600,000 Combinatorics · easy
- Theta-Gamma Relationship and Delta-Hedged P&L Options Pricing · hard
- Vector Projection and Gram-Schmidt Orthogonalization Linear Algebra · medium
- Why Use Adjusted R-Squared? Regression · easy
- Winsorization Impact on OLS Statistics · hard
- Bayesian ML, Overfitting, and Error Metrics Statistics · medium
- Bayesian Update from a No-Trade Event Statistics · medium
- Bucket Sort for Uniform Samples Coding · medium
- Computing OLS When the Design Matrix Is Too Large for Memory Linear Algebra · medium
- Correlation Range with Four Variables Linear Algebra · hard
- Correlation of Sum and Difference Random Variables · easy
- Count Subarrays with Sum in a Range Coding · hard
- DAG Reachability Queries with Preprocessing Coding · hard
- Detecting Multicollinearity in OLS Regression · hard
- Effects of Multicollinearity on Regression Regression · medium
- Fisher Information for Exponential Samples Statistics · hard
- K Disjoint Maximum-Sum Subarrays Coding · hard
- Longest Increasing Subsequence with Reconstruction Coding · hard
- Maximum Non-Overlapping Interval Scheduling Coding · medium
- Maximum Points in a Rotating Angle Coding · medium
- OLS with Correlated Errors Regression · medium
- Online Mean and Variance for Streaming Returns Statistics · medium
- Order Book Data Structure and Arbitrage Detection Coding · hard
- Reducing Portfolio Volatility Finance · medium
- Second Largest with Minimum Comparisons Coding · hard
- Streaming Merge Join with Missing Keys Coding · medium
- Why We Divide by n-1 in Sample Variance Statistics · medium
- Count Subarrays With Sum Less Than K Coding · medium
- Eigenvalues of the All-Ones Matrix Linear Algebra · easy
- Gradient Boosting vs. Random Forests, Batch Normalization, and SGD Momentum Machine Learning · easy
- Hyperparameter Selection in Machine Learning Machine Learning · easy
- Longest Subarray With Sum K Coding · medium
- OLS vs Ridge vs Lasso Regression Regression · medium
- Optimal Fibonacci Computation Coding · medium
- Optimal Tender Price for a Block Trade Optimization · medium
- Optimal Tick Improvement for a Market Maker Optimization · medium
- Option Pricing on a Dice Product Options Pricing · easy
- Quantile Regression: Check Loss, KKT Conditions, and Scalable Optimization Regression · hard
- Sampling Multivariate Normals via Spectral Decomposition Linear Algebra · medium
- Shortest Path on a Grid with Alternating Move Directions Coding · medium
- Take-It-or-Leave-It Pricing with Adverse Selection Game Theory · medium
- Basket Return and Dollar P&L Calculation Finance · easy
- Delta of a Digital Call Option Options Pricing · medium
- Implied Probabilities and Bookmaker Overround Finance · easy
- Knowledge Gradient for Two Bernoulli Arms Optimization · hard
- OLS Assumptions, Violations, and Diagnostics Regression · medium
- OLS Coefficient Confidence Intervals Regression · medium
- Suppressor Variables in Multiple Regression Regression · medium
- Systematic vs. Idiosyncratic Risk Finance · easy
- ACF and PACF of an ARMA(1,1) Process Time Series · hard
- Bond Duration and Convexity Approximation Finance · medium
- Breusch-Pagan Heteroskedasticity Test Statistics · hard
- Cross-Sectional Factor Model Estimation and Diagnostics Regression · medium
- Detecting the Direction of Time in a Price Series Time Series · medium
- Estimating the Hurst Exponent via Rescaled Range Analysis Time Series · hard
- Estimation with Equicorrelated Normal Samples Statistics · hard
- From ML Signals to Live Trades Finance · medium
- Ljung-Box Test for Serial Correlation in Returns Statistics · hard
- Lookahead Bias From Universe Membership Leakage Machine Learning · medium
- Maximizing a Quadratic Form Optimization · medium
- Maximum Ones in a Nilpotent Binary Matrix Linear Algebra · hard
- Minimum of x^x on (0, 1] Optimization · medium
- Missing Data Imputation and Regression Pipeline Machine Learning · medium
- Nonparametric Walk-Forward Backtest Protocol Finance · hard
- Numerical Function Minimization via Gradient Descent Optimization · medium
- Order Book Dynamics and Price Formation Market Microstructure · easy
- Problems With L0 Regularization Optimization · medium
- Ridge vs. Lasso Regression Regression · medium
- Ridge vs. Lasso Regression: Theory and Practice Regression · medium
- Ridge vs. Lasso Shrinkage in the SVD Basis Regression · medium
- Straddle Gamma Across Price Movement Options Pricing · medium
- The Roll Spread Estimator Market Microstructure · medium
- CDS Par Spread Derivation Under Constant Hazard Rate Options Pricing · hard
- Comparing Forecasting Models for Daily Asset Returns Machine Learning · medium
- MDP Formulation for Stock Trading Optimization · medium
- Optimal Bid-Ask Quotes Against an Informed Trader Market Microstructure · medium
- Revenue Optimization with Poisson Demand Optimization · medium
- Two-Sided Market Making With Overround Finance · hard
- VaR and ES via Peaks-Over-Threshold Statistics · hard
- Designing a City Rent Prediction System Machine Learning · medium
- European Call Option With Infinite Maturity Options Pricing · medium
- Newton's Method: Quadratic Convergence Proof and Stopping Rule Optimization · medium
- Onsite Data Analysis Project Machine Learning · medium
- Replicating Arbitrary Payoffs with Calls and Puts Options Pricing · hard
- Black-Scholes Monte Carlo Pricer Options Pricing · hard
- Cross-Asset Market Making with Correlated Fundamentals Market Microstructure · hard
- Lamppost Toggle Cycle on a Square Stochastic Process · medium
- Martingale Property of Brownian Motion Stochastic Process · medium
- Robust Kalman Filtering: Handling Outlier Measurements Stochastic Process · hard
- Maximum Value After Repeated Doubling Coding · easy
- Maximum Apples That Fit in a Box Coding · easy
- Stabilizing a Row of Student Scores Coding · easy
- Evaluate a Reverse-Polish-Notation Expression Coding · easy
- Odd-Length Strings Containing a Vowel Coding · easy
- Uniform Sampling Game - Fair Price Coding · easy
- Finding the Three Fastest of 25 Horses in Seven Races Brain Teaser · medium
- Packing 53 Bricks of Size 1x1x4 Into a 6x6x6 Box Brain Teaser · hard
- Calendar Cubes: Two Dice That Show Every Date Brain Teaser · easy
- Two Guards, One Question: Finding the Door to the Offer Brain Teaser · easy
- Computing an Average Salary Without Revealing Anyone's Salary Brain Teaser · easy
- Splitting 1000 Coins Blindfolded Into Two Piles With Equal Heads Brain Teaser · easy
- Breaking a Clock Face Into Three Pieces With Equal Sums Brain Teaser · easy
- Finding the Counterfeit Bag With One Weighing Brain Teaser · easy
- Two Glass Balls and a 100-Storey Building Brain Teaser · medium
- Two Guests Who Shook the Same Number of Hands Brain Teaser · easy
- Six People at a Party: Three Mutual Friends or Three Mutual Strangers Brain Teaser · medium
- Covering Three of 51 Ants With a Small Glass Brain Teaser · easy
- Classifying Five Bags of Coins With a Single Weighing Brain Teaser · medium
- The Digit-Sum Test for Divisibility by 9 Brain Teaser · easy
- Can the Chameleons Ever Be All One Colour? Brain Teaser · medium
- Splitting 1000 Coins: The Sum of Products Is Always the Same Brain Teaser · easy
- Gas Cans Around a Circular Track: A Lap Is Always Possible Brain Teaser · medium
- Proving That the Square Root of 2 Is Irrational Brain Teaser · easy
- Seven Prisoners, Seven Rainbow Colours: Guarantee One Correct Guess Brain Teaser · hard
- Differentiating (ln x) to the Power ln x Brain Teaser · easy
- Which Is Larger: e to the Pi or Pi to the e? Brain Teaser · easy
- Two Limits by L'Hospital: e^x / x^2 and x^2 ln x Brain Teaser · easy
- The Antiderivative of ln x Brain Teaser · easy
- Integrating sec x from 0 to pi/6 Brain Teaser · easy
- Volume Common to Two Perpendicular Cylinders Brain Teaser · medium
- The Snowplow Problem: When Did It Start Snowing? Brain Teaser · medium
- Conditional Mean of a Standard Normal Given It Is Positive Expectation · easy
- The Half-Line Gaussian Integral Probability · easy
- What Is i to the Power i? Brain Teaser · medium
- Bernoulli's Inequality via Taylor's Theorem Brain Teaser · medium
- Newton's Method for the Square Root of 37 Optimization · easy
- Root-Finding Beyond Newton: Bisection and the Secant Method Optimization · medium
- Distance From the Origin to the Plane 2x + 3y + 4z = 12 Optimization · easy
- Separable ODE: y' + 6xy = 0 with y(0) = 1 Brain Teaser · easy
- Solving y' = (x - y)/(x + y) by Substitution Brain Teaser · medium
- First-Order Linear ODE: y' + y/x = 1/x^2 with y(1) = 1 Brain Teaser · easy
- General Solution of y'' + y' + y = 0 Brain Teaser · easy
- Nonhomogeneous ODEs: y'' + y' + y = 1 and y'' + y' + y = x Brain Teaser · easy
- Range of a Third Correlation Given Two Correlations of 0.8 Linear Algebra · medium
- Implement Least Squares From Scratch With a QR Decomposition Regression · medium
- Eigenvalues and Eigenvectors of the Matrix [[2, 1], [1, 2]] Linear Algebra · easy
- Correlation Bounds From Positive Semidefiniteness Linear Algebra · medium
- Generating Correlated Normals From Independent Ones Linear Algebra · medium
- Higher Card Wins: One Draw Against the Dealer Probability · easy
- Hopping Rabbit: Counting Ways Up an n-Step Staircase Combinatorics · easy
- Knockout Chess: Will the Two Best Players Meet in the Final? Probability · medium
- The 100th Decimal Digit of (1 + sqrt 2)^3000 Brain Teaser · medium
- Cube Ending in 11: A Random Integer up to 10^12 Brain Teaser · medium
- Dart Game: Will the Next Throw Also Be Worse Than the First? Probability · medium
- Three Dice in Strictly Increasing Order Probability · easy
- Amoeba Extinction: Die, Stay, Split in Two, or Split in Three Probability · medium
- One Ace Each: Dealing 52 Cards to Four Players Probability · easy
- Streaky Free Throws: Success Probability Equals Running Average Probability · hard
- Cars on the Highway: From a 20-Minute Window to a 5-Minute Window Probability · easy
- Waiting for the Bus: Memorylessness Forward and Backward Stochastic Process · medium
- First Four Moments of the Standard Normal Random Variables · easy
- Turning Cards Until the First Ace Expectation · medium
- Probability That n Uniforms Sum to at Most 1 Probability · medium
- Two Bonds: Range of Joint Default Probability and Correlation Probability · medium
- Sum of 12 Before Two Consecutive 7s Stochastic Process · medium
- Repainting Balls Until One Color Remains Stochastic Process · hard
- Roll Again on 4, 5, 6: Expected Total Payoff Expectation · easy
- Roll Until You Stop or Hit a 6: Optimal Strategy and Fair Price Optimization · medium
- Expected Time for Brownian Motion to Hit -1 or +1 Stochastic Process · medium
- First Passage Time of Brownian Motion: Density and Mean Stochastic Process · hard
- Hitting 3 Before -5: Brownian Motion With and Without Drift Stochastic Process · medium
- Brownian Motion With Unit Drift: Probability of Ever Reaching -1 Stochastic Process · medium
- Which Way Do Option Prices Move? Six Inputs, Four Options Options Pricing · easy
- Delta of a European Call: Why the Extra Terms Cancel Options Pricing · medium
- Delta of an At-the-Money Call: Above or Below One Half? Options Pricing · easy
- Delta-Hedging a Long Call After a Sudden Jump Options Pricing · easy
- Quick Value of an At-the-Money Call: 0.4 Sigma S Root Tau Options Pricing · easy
- When Can a European Option Have Positive Theta? Options Pricing · medium
- Long Call, Delta Neutral: Gains Both Ways, Yet No Arbitrage Options Pricing · medium
- Implied Volatility and the Volatility Smile Options Pricing · easy
- Constant 30% Volatility or Random Volatility With Mean 30%? Options Pricing · medium
- Recovering the Risk-Neutral Density From Call Prices Options Pricing · medium
- Exchange Option: Pricing the Right to Swap One Stock for Another Options Pricing · hard
- Swap Two Integers Without a Temporary Variable Coding · easy
- Three Ways to Sort n Numbers and What They Cost Coding · medium
- Shuffling 52 Cards So Every Order Is Equally Likely Coding · medium
- Pick a Uniformly Random Character From a Stream of Unknown Length Coding · medium
- Is This Integer a Power of Two? One Bitwise Operation Coding · easy
- Multiply an Integer by 7 Without the Multiplication Operator Coding · easy
- Finite Difference Methods for Pricing Derivatives Coding · medium
- Explicit Finite Differences: Too Many Time Steps or Too Many Space Steps? Coding · medium