Quant Questions is a better way to get a job in quant finance. We prepare you with real quant interview questions from top firms to help you land a job.

Quant Questions is a better way to get a job in quant finance.

Quant Questions is a better way to prepare for quant finance interviews.

Quant Questions is a better way to prepare for quant finance interviews.

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I throw a die 1 time. I will pay you $1 for each dot that turns up on the die. How much would you pay to play this game? You may assume that you are risk-neutral.

Betting games are pretty popular for interviews at trading firms. These are typically disguised expected value questions. In this case, we simply need to take the expected value of rolling a die. Interviewers, may ask follow up questions such as: "Now assume that you are risk averse. How does that change your answer?"

Got an interview for a quant role in the financial services and need some last minute prep? We have tons of questions that can help you prepare for the real interiew.

Are you a masters student trying to land a quant job? Use our platform as you learn about new quant finance topics in class so that you'll know what is relevant for your interviews.

Which industry are you most interested in? If you don't know yet, pick one and we will tell you a bit about it.

Great choice! Asset management firms offer lots of exciting opportunities for quants and Quant Questions can help you get there. Roles can vary from portfolio management, portfolio construction and optimization, transaction cost analysis, finding alpha generating strategies, beta market research or market risk management.

Great choice! Investment banks are the classic place to start your quant career before progressing to more senior ranks within the firm or moving over to the buyside.

Great choice! Hedge funds offer lots of lucrative and intellectually stimulating quant roles and Quant Questions can help you land one of these coveted jobs.

Great choice! Prop trading firms offer lots of lucrative and intellectually stimulating quant roles and Quant Questions can help you practice for these interviews.

Great choice! Financial software firms have lots of modeling opportunities for quants and Quant Questions can help you get there.

Great choice! Commercial banks offers lots of diverse opportunities for quants. You can find roles related to CCAR/DFAST modeling, market risk management, credit risk management, liquidity modeling related to the bank's securities portfolio, asset liability management (ALM), deposit modeling or any other analytics for the bank.

Great choice! Consulting firms offer lots of exciting opportunities for quants and and Quant Questions can help you rock the quant consulting interview. Consultants often advice banks on a host of issues related to stress testing, credit quality, deposit analysis, derivative valuation and market research.

Great choice! FinTech have many great opportunities for very creative quants looking to break new grounds. Here quants can work in crypto currency, in peer-2-peer lending, on crowd sourced trading strategies or on launching new exchanges.

Great choice! Most quants don't think about private equity as a career path. But as this traditionally non-quant industry becomes more quantitative, this is a very viable option. Roles can vary from portfolio construction and optimization, to residential credit modeling and to general analytics.

Sign up, it's free.What is the sum of integers from 1 to 100?

We need to remember the Gauss sum equation:
where , and
Thus, we have

Signing up gives you the benefit of tracking your progress. You will be able to see you perfomance by category and question type to help you better understand your strengths and weaknesses.

Create a free account and we'll save your progress to make sure you have mastered all question types.

Sign up, it's free.Which is one of these exponents is bigger: or ?

So and

For we have that,

Which firm are you most interested in working for? If you don't know yet, pick one and we will tell you a bit about the firm.

Great choice! BlackRock is the largest asset manager with $6.5 trillion in AUM and offers lots quant opportunities. Quants can find themselves at home in various investment divisions such as Scientific Active Equities or Model-Based Fixed Income, or in roles in Portfolio Analytics or Risk & Quantitative Analytics.

Great choice! State Street is based in Boston and manages $2.5 trillion in AUM. Quants can find interesting roles in groups such as Fixed Income and Currencies, Active Quantitative Equities, Enterprise Risk Management or Model Validation.

Great choice! Pimco is the biggest bond manager based in Newport Beach, California. Quants can find roles within the Client Solution and Analytics or on the Trade Support team on one of their many trading desks.

Great choice! Wellington Management is a $1.1 trillion AUM asset manager. Quants can find technical roles within the Fixed Income, Trading Data & Analytics or Derivative Analytics and Valuations.

Great choice! First Quadrant is a boutique $30 billion AUM investment management firm. They apply systematic approach combining fundamental and economic insights to generate high risk-adjusted returns.

Great choice! Morgan Stanley is a multinational investment bank with over 50,000 employees and over $800 billion in total assets. You can find opportunities as a Desk Strategist, on a modeling team or in the Electronic Market Making Group.

Great choice! JP Morgan is a multinational investment bank based in NYC with over $2.5 trillion in total assets. You can find positions in the Quantitative Research division or in the Data Analytics team.

Great choice! Citi has over 200,000 employees and over $1.9 trillion in total assets. You can find quant opportunities in their trading, asset management or investment banking divisions.

Great choice! Wells Fargo has over $1.8 tillion in total assets and over 250,000 employees. You can find quant opportunities in their trading, asset management or investment banking divisions.

Great choice! Bank of America has over 200,000 employees and over $2.3 trillion in total assets. You can find quant opportunities in their trading, asset management or investment banking divisions.

Great choice! Two Sigma has over $30 billion in AUM and is at the forefront of quantitative investment hiring scientists, academics and engineers. Quants can find intellectually stimulating roles in Data Science & Analytics, Quantitative Research & Modeling or Execution & Trading.

Great choice! AQR is an $80 billion investment management firm based in Greenwich, Connecticut. You can find quant roles within Global Asset Allocation, Global Stock Selection, Risk Management or Trading.

Great choice! Balyasny is based out of Chicago and has over $7 billion in AUM. You can find roles of interest in the following divisions: Financial Engineering, Risk, Quantitative Research or Investment & Trading.

Great choice! D.E. Shaw is based in NYC and has over $30 billion in AUM. You can find quant jobs in their Investment Analysis, Quantitative Strategies or Trading divisions.

Great choice! Citadel is based out of Chicago and has over $30 billion in AUM. You can find quant jobs in their Global Quantitative Strategies, Global Fixed Income or Portfolio Constructions division.

Great choice! Cidatel Securities is the largest market maker in the US. You can find interesting roles in their Information Technology, Engineering or Finance & Accounting teams.

Great choice! Jane Street was founded in 2000 and has about 900 employees. You can find interesting roles in their Quantitative Trading, Quantitative Resarch or Institutional Services divisions.

Great choice! Hudson River Trading is based in NYC and was founded in 2002. They can trade up to 5% of all US stock trading any given day. They have many quant roles in Strategy Development, Software Engineering or Trade Operations.

Great choice! Optiver was founded 1986 and now has over 1,000 employees. Optiver makes markets in options and delta1 products. You can find interesting quant roles in their risk, technology or trading divisions.

Great choice! SIG was founded in 1987 and is based out of Philadelphia. They make markets in equity options and index options. You can find interesting roles in their Trading, Quantitative Research, Machine Learning or Operations teams.

Great choice! Bloomberg was founded in 1981 and now has over 19,000 employees. Bloomberg has great opportunities for quants in Multi-Asset Risk System (MARS), Enterprise Data, Quant Analytics and Desktop Build Group (DBG).

Great choice! Moody's Analytics was founded in 2007 and now has over 10,000 employees. They offers opportunities for quant in their Enterprise Risk Solutions, Credit Analysis & Research or Strategy & Analytics groups.

Great choice! MSCI is based out of NYC and has over 3,000 employees. They have opportunities in Multi-Asset Class Research, Risk Analytical QA and Analytics Platform Development teams.

Great choice! Numerix was founded in 1996 and is based out of NYC. You can find interesting quant roles in their Financial Engineering, Client Solutions Group or Global Operations groups.

Great choice! HSBC is headquartered in London and has over 230,000 employees. They have quant opportunities in Traded Risk Management, Risk Analytics and Modeling or Data Analytics teams.

Great choice! Santander is headquartered in Santander, Spain and has over 200,000 employees worldwide. They offer quant opportunities in Risk Modeling, Operational Risk and Technology divisions.

Great choice! US Bank is the 5th largest bank in the US. They have quantitative positions within their Enterprise Research and Insights teams, Data Analytics and AI/ML & Data Platform teams.

Great choice! CIT Group has over $50 billion in total assets. CIT has quant opportunities in the Quantitative Strategies (QS) or Analytics teams within Audit or Information Technology.

Great choice! Deloitte has over is headquartered in London and has over 280,000 employees world wide. Deloitte has quant roles in their Analytics & Cognitive, Managed Analytics or Risk and Financial Advisory (RFA) groups.

Great choice! PwC is headquartered in London and has over 250,000 employees. They have opportunities in their Valuations or Financial Markets Business Advisory groups.

Great choice! EY was founded in 1989 and is headquartered in London. They has over 270,000 employees and you can find roles in the Quantitative Advisory Services (QAS) or Risk Technology teams.

Great choice! Bain is headquartered in Boston and has over 8,000 employees. Bain has lots quant opportunities within their Advanced Analytics Group (AAG), including data science, engineering, marketing science, operations research.

Great choice! KPMG has over was founded in 1987 and now has over 200,000 employees. has quant positions in Economic and Valuation Services, groups, Technology Enablement, Risk Strategy & Compliance and Data & Analytics groups

Great choice! Lending Club was founded in 2007 and is based in San Francisco. You can find quant roles in their Data Technology, Risk or Engineering teams.

Great choice! Affirm was founded in 2012 and is based out of San Francisco. They offer quant positions in their Strategy & Analytics, Data/Risk and Finance divisions.

Great choice! Square is headquartered in San Francisco and was founded in 2009. Square has quantitative opporuntities in Marketing Analytics, Data Engineering, Data Science and Product Analytics.

Great choice! Coinbase is a digital currency exchange based out of San Francisco. Coinbase has quant opportunities in Operations & Technology, Data and Engineering.

Great choice! You may have heard of IEX Group from Michael Lewis's book Flash Boys. IEX is based in NYC and you can find interesting roles in Quantitative Research, Development or Finance teams.

Great choice! The Carlyle Group is based out of Washington D.C. and has over $220 billion in AUM. You can find quantitative roles on the Enterprise Data team or Analytics team.

Great choice! Apollo is based out of NYC and has over $303 billion in AUM. You can find quant roles on the Risk Management and Quantitative Business Modeling team.

Great choice! Blackstone is based out of NYC and has over $450 billion in AUM. You can find quant jobs as part of the Blackstone Innovations, Blackstone Alternative Asset Management or Portfolio Management Program teams.

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If you relate to any of the cases below then Quant Questions is the right place for you:

- Undergrads studying math, economics, computer science or engineering looking to get into quant finance
- Masters students in finance, financial engineering, mathematical finance or statistics
- Any quant who has worked a few years in the finance industry looking to take the next step

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There are 25 horses, each of which runs at a constant speed that is different from the other horses. Since the track only has 5 lanes, each race can have at most 5 horses. If you need to find the 3 fastest horses, what is the minimum number of races needed to identify them?

Let's label each horse 1 - 25. You first need to race each horse: (1, 2, 3, 4, 5), (6, 7, 8, 9, 10), (11, 12, 13, 14, 15), (16, 17, 18, 19, 20) and (21, 22, 23, 24, 25). That is 5 races. Then we take the winner of each heat. Let's say that is the lowest horse number in each heat and race them (1, 6, 11, 16, 21). This guarantees that #1 is the fastest horse. This is the 6th race. Are #6 and #11 necessarily the 2nd and 3rd fastest? No, because it is possible that #2 and #3 just lost in the first heat to the fastest horse (#1). We need a final 7th race between (6, 11, 2, 3, x) where x in any horse.

What are the smallest and largest values that Delta can take for a vanilla put option?

The delta of an option is the 1st derivative of the value of the option with respect to the price of the stock. As stock price increases, the value of a put option decreases thus we know the delta must be negative. The delta for a put can't be lower than -1 because as delta gets closer to -1, gamma (2nd derivative w.r.t. stock price) will go to 0. Also, delta can be interpreted as the probability the option ends up in-the-money, thus a value less than -1 would not make sense.

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I toss a coin 400 times. What is the probability of getting < 220 heads?

Use the binomial distribution. Since p = 0.50 and N = 100, the mean is 50, the variance is 25 and the standard deviation is 5. So 40 corresponds to a one sided 2 std move. A two sided 2 std move contains 95% of the area, so a 1 sided 2 std move contains 95% + 2.5% = 97.5%.

You have a chessboard. From any single diagonal, you remove two square. There are just 62 squares left on the board. You also have 31 domino tiles, each of which is conveniently the same size as two of the chessboard squares. Is it possible to perfectly cover the board with these dominoes, without any domino edges hanging over?

The opposite corners of a chess board have the same color. Placing a domino on the board requires covering both a white and black square. So, we will not be able to cover the chessboard.

What are you waiting for? Registration takes under 1 minute and you can then start practicing for your quant interviews.

Make sure you put in the preparation and put all odds on your side for phone screens, live coding sessions, in person interviews and super days!

The name of the game is practice, practice, practice.

Stock X has an expected return of 5% and stock Y has an expected return of 15%. Stock X has a volatility of 10% and stock Y has volatility of 25%. The correlation between their returns is 25%. What is the allocation to stock X that creates the minimum variance portfolio?

We have that
, and
. We recall that the variance of a portfolio with 2 assets is

To find a local minimum, we need to differentiate, set equal to zero and solve for our parameter . Once you work out the math, you will get that

We evaluate the expression with the given inputs. The weight of stock X is 93.75%.

Which of the following is NOT an assumptions of OLS?

Exogeneity

Spherical errors

Normal errors

No linear dependence

Linear relationship

The normal errors assumption is only required when doing OLS on small samples. In most financial applications of OLS, you should have sufficient data so won't need worry about having normal errors.

You got -y-/9 questions correct. You've got some work to do, but we can help you! You can train on tons of questions once you join. This will help you get a job in -x-. That's a good start, but we know you can do better. You can train on tons of questions once you join. This will help you get a job in -x-. Great work, you really knocked it out of the park! You can train on tons of other difficult problems on our site. This will ensure that you ace even the hardest interviews.

Our tutorials will help refresh all key concepts you will need ranging from statistics, finance, modern portfolio theory, programming, times series, etc.

We offer over 200 questions informed by real world interview experience with top finance firms. We also give practical tips on interview etiquette and structure so that you know what to expect when you meet on site or remotely.

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You are majoring in engineering, applied math or computer science and have taken a few courses in finance, operations research or economics. Get your career off to the best possible start by landing the best offer you can. These interviews are challenging and you need to prepare in order to succeed.

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You went through this quant interview rodeo once before and you know how much of a headache it is. And now that you have been working, you have since forgotten all about those brainteasers, probability and coding questions. Let us help you make this second time just a little bit less painful.