Quantitative Associate Interview Questions in New York City, NY | Glassdoor

# Quantitative Associate Interview Questions in New York City, NY

49

Quantitative associate interview questions shared by candidates

## Top Interview Questions

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### Quantitative Finance Summer Associate at Morgan Stanley was asked...

Aug 5, 2010
 At a party everyone shakes hands, 66 hand shakes occur, how many people are at the party? 9 Answers12requires explanationit's not 12, it's 11Show More Responses12sum of the series 66= n/2( 2*1 + (n-1)*1) n=12You can suppose there are n people in the room and think of them in a row. The first one has to shake hands with (n-1) people (because he doesn't have to shake hands with himself). The second one has already shaken hands with the first one, so he has (n-2) shakes remaining... and so on. So you have to sum: (n-1)+(n-2)+(n-3)+...+1= (n/2)*(n-1) Then you have to solve (n/2)*(n-1)=66 and you get n=12.n(n-1)/2=66 so n=12You can think of this problem as a combination problem: (N choose 2) = 66, and then solve for N. That is, N! / (2! (N-2)! ) = 66. Simplifying this equation leads to N(N-1)/2 = 66, and the integer solution to this problem is N = 12.66=x!/((x-2)!*2) which gives 12

### Quantitative Finance Summer Associate at Morgan Stanley was asked...

Aug 5, 2010
 There are two stocks with the same expected value, with variance 0.3 and 0.2 and correlation 0.5. What proportion of each stock do you invest in to yield a minimum risk portfolio? 4 Answers100% in stock 2, with the smaller variance.No, if you can short, the variance could be reduced even further since the stocks are correlated.17/44 of the stock with variance of .3 and 27/44 from the stock with variance of .2Show More ResponsesCovariance = 0.3 * 0.2 * 0.5 = 0.03 Cov Matrix = c = [0.3 0.03; 0.03 0.2] Inv Cov Matrix = c_inv = [2000/591 -100/197; -100/197 1000/197] Answer = (c_inv * [1; 1])/([1 1] * c_inv * [1; 1]) = [17/44; 27/44]

### Quantitative Finance Summer Associate at Morgan Stanley was asked...

Aug 5, 2010
 If W is standard Brownian Motion, for what values of n is W^n still a martingale? 3 AnswersBy Ito W^n is a martingale for n=0,1Agree, for any n>1 you get a drift termXt is a martingale you get f(Xt) is a martingale if f is linear otherwise convexity or concavity will increase or decrease the expectation, think of Jensen inequality.

### Quantitative Finance Summer Associate at Morgan Stanley was asked...

Aug 5, 2010
 Evaluate the integral from 0 to pi/6 of sec(x) dx.3 AnswersReaching back to high school, I'd say -.5ln(3)/2ln(root 3)

### Quantitative Research Associate at J.P. Morgan was asked...

Jun 22, 2013
 If implied volatility is lower than realized, how does one make money hedging a call option?2 Answershedge with implied volbuy the call (the option is "cheap") and delta-hedge it. You will be long implied vol and it's good for you since you expect it to rise !

### Quantitative Associate at J.P. Morgan was asked...

May 19, 2019
 Describe the algorithms to solve KNN. 1 Answer- two-step approximation, iterate.

### Quantitative Research Associate at Two Sigma was asked...

Dec 1, 2016
 Statistics and math brainteasersBe the first to answer this question

### Quantitative Summer Associate at Susquehanna International Group (SIG) was asked...

Dec 13, 2016
 Each has Two dices, probability of no match.4 AnswersP(not match) = 1-P(match) P(match) = 1/6*1/6*1/6*1/6*combinationNumber combinationNumber = (6*6-6)*4 + 6=126 P(not match) = 1 - 1/1296 * 126 = 90% The calculation of the cominationNumber: for example number 1 and 4: my dice: (1,4) your: (1,4) my dice: (1,4) your: (4,1) my dice: (4,1) your: (1,4) my dice: (4,1) your: (4,1) for example number 3, 3 my dice: (3,3) your (3,3)P(not match) = 1-P(match) P(match) = 1/6*1/6*1/6*1/6*combinationNumber combinationNumber = (6*6-6)*2 + 6=126 P(not match) = 1 - 1/1296 * 126 = 95% The calculation of the cominationNumber: for example number 1 and 4: my dice: (1,4) your: (1,4) my dice: (1,4) your: (4,1) for example number 3, 3 my dice: (3,3) your (3,3)I think the proper way is this: The first guy throws, then the second throws. The total probability is given as P(match) = P(match | guy 1 has the same number)P(guy 1 has the same number) + P(match | guy 1 has different numbers)P(guy 1 has different numbers) = 1/36 * 1/6 + 2 / 36 * 5/6 = 11 / 216 = 0.05. So the probability of no match is 0.95.Show More ResponsesP(match) = (6+4*C_6^2)/(6^4) = 66/1296 = 0.05 P(not match) = 0.95

### Associate - Quantitative Research at J.P. Morgan was asked...

Jan 9, 2016
 X and Y equal \$2.50. X is twice the cost of Y. What are X and Y respectively?1 AnswerX is \$1.67 and Y is \$0.83

### Associate - Quantitative Research at J.P. Morgan was asked...

Feb 29, 2016
 How maps are implemented in C++?Be the first to answer this question
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