Quant Developer Interview Questions
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Quant Developer interview questions shared by candidates
Write numbers 2^1000 and 5^1000 in a decimal notation, next to each other. How many digits does the newly obtained number have?
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1001 integer between 1000*lg2+1000*lg5 and 1000*lg2+1000*lg5 + 2 so the answer is 1000+1 Less
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The answer is 1001, but to prove it you need to note that 1000log2 is not an integer Less
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int(1000*lg2)+1 + int(1000*lg5)+1 = 1001
row a dice, get one dollar if you rowed on, get two dollar if you rowed two, calculated the fair cost of the game, plus some complication. the answer on ha**errank platform is 35k DOLLARS,,,,,,,,,,
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basic probability, independent event
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There is no stopping time? Usually this type of math question has a stopping time like "the game stops if you roll a 6". Less
What is d x^x/dx?
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If y = x x and x > 0 then ln y = ln (x x) Use properties of logarithmic functions to expand the right side of the above equation as follows. ln y = x ln x We now differentiate both sides with respect to x, using chain rule on the left side and the product rule on the right. y '(1 / y) = ln x + x(1 / x) = ln x + 1 , where y ' = dy/dx Multiply both sides by y y ' = (ln x + 1)y Substitute y by x x to obtain y ' = (ln x + 1)x x Less
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sorry, i copy pasted this, the x x is is really a x^x. Essentially this is just a logarithmic differential exercise, exploiting the fact that d/dx ln f(x) = f'(x) / f(x) so that f'(x) = d/dx ln(f(x)) * f(x) Less
I have 12 poker chips, we (two people) take it in turns to pick up one or two chips, you win if you don't pick up the last chip. What is the optimal strategy? Do you want to go first or second? What about if there were 150 chips?
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Have a think about it, reading the answer here isn't going to help you. Try starting from a smaller number of chips. Less
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Start second, always pick differently from opponent
You have an array of bulbs and corresponding switches, given a sequence of switch actions count the instances of all the bulbs being on
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I looked at the permutations of the array of switch actions
market equilibrium. given a couple companies, their initial market shares, and the probabilities of customer switching from one company to another, what;s the final market share of each company?
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matrix mult
4 questions in coding, 2 hours. Choose your own language (they prefer Python).
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Passed 2 questions
How could you quickly decide when to exercise a Bermudan receiver swaption?
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Consider for each exercise date the effective rate over the tenor of the swaption taking into account the prevailing rate up to the exercise date and the strike rate. Would it be advantageous to wait or exercise? Less
The role was in a team developing a Haskell compiler for financial instrument payoffs. Someone from the team sent a task to do in my own time in Haskell, with one test case provided. You return the Haskell code to the team member when you are done.
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I just used my admittedly quite basic Haskell knowledge to get it working. They said they were hiring for all levels but apparently it was not enough. Less