Quantitative Finance Analyst Interview Questions
76
Quantitative Finance Analyst interview questions shared by candidates
At a party everyone shakes hands, 66 hand shakes occur, how many people are at the party?
9 Answers↳
12
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You 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. Less
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n(n-1)/2=66 so n=12
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?
5 Answers↳
17/44 of the stock with variance of .3 and 27/44 from the stock with variance of .2 Less
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No, if you can short, the variance could be reduced even further since the stocks are correlated. Less
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Above answers used variance in portfolio variance equation, rather than std. Answer is .386 for security with var .3, and .613 for security with var .2 Less
A use 5 hours finish a job. B use 8 hours finish it. How long A and B take it together?
4 Answers↳
I mean it is not correct (but probably I do not have got true): 1 hour A can make 20% (1/5) B can make 12.5% (1/8) A+B can make 32.5% (1/5 + 1/8 = 13/40) The work will be finished at 100% (1) 1 hour - 32.5% (13/40) x hour - 100% (1) x = 1*1/(13/40) = 40/13 = 3.077 (hours) tha half of the equation was good, but: 8 = X + 1.6*X = 2.6X; -> x=8/2.6) Please post a comment if I do not have true!!! Less
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40/13
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http://brainteaserbible.com/interview-brainteaser-andy-and-ben-working-together
What kind of subjects are you looking to teach?
4 Answers↳
I detailed my CV and what relevant subjects I could teach. Also went through my demo. Less
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I wanted to teach Urdu
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To implementing the policies and plans developed by the top managers
If W is standard Brownian Motion, for what values of n is W^n still a martingale?
3 Answers↳
By Ito W^n is a martingale for n=0,1
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Xt 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. Less
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Agree, for any n>1 you get a drift term
In a set of cereals, there are 4 kinds of coupons. A child wants to collect all the 4 kinds of coupons. How many boxes in average should he buy?
3 Answers↳
25/3
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sorry, should be 25/3
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169/16
Evaluate the integral from 0 to pi/6 of sec(x) dx.
3 Answers↳
ln(root 3)
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ln(3)/2
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Reaching back to high school, I'd say -.5
Each timestep an Amoeba can produce 0,1,2 offspring or it can die with equal probability for each event (1/4 each). What is the probability that the population can survive indefinitely?
2 Answers↳
sqrt(2)-1
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0: it is an undercritical process.
Say you have one bacterium now. In any minute, each living one has a quarter chance of dieing, a quarter of staying still, a quarter of splitting into 2, and a quarter of splitting into 3. What is the probability of this species dieing out finally.
2 Answers↳
(1+p+p^2+p^3)/4 = p So p = sqrt(2) - 1.
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P(dying out)= \sqrt(2)-1
Tell me about yourself and go through your resume. Give me an example how you accomplish a teamwork for achievement. What is p-value and how do you interpret it to your grandma?
1 Answers↳
It's not very hard.