Trainee Trader Interview Questions

11,667 trainee trader interview questions shared by candidates

You have are offered a contract on a piece of land which is worth 1000000 70% of the time, 500000 20% percent of the time and 150000 10% of the time. The contract says you can pay x dollars for someone to determine the land's value from where you can decide whether or not to pay 300000 for the land. What is x? I.e. how much is this contract worth?
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Assistant Trader

Interviewed at Susquehanna International Group

3.8
Mar 9, 2013

You have are offered a contract on a piece of land which is worth 1000000 70% of the time, 500000 20% percent of the time and 150000 10% of the time. The contract says you can pay x dollars for someone to determine the land's value from where you can decide whether or not to pay 300000 for the land. What is x? I.e. how much is this contract worth?

Expected value of heads and tails of two coin flips -> E(t(10-t) = 10E(t) - E(t^2) = 50 - (25 + 10/4) = 22.5 What is the set of numbers between 2 and 30, without the same common factor (e.g. 26 and 24 share 2, so they cannot be in the same set) that will you give you a max sum? Using the same rules, what is the highest possible number you can have in a set of 1000?
avatar

Trader Intern

Interviewed at Jane Street

4.4
Apr 24, 2014

Expected value of heads and tails of two coin flips -> E(t(10-t) = 10E(t) - E(t^2) = 50 - (25 + 10/4) = 22.5 What is the set of numbers between 2 and 30, without the same common factor (e.g. 26 and 24 share 2, so they cannot be in the same set) that will you give you a max sum? Using the same rules, what is the highest possible number you can have in a set of 1000?

Toss 4 coins - probability of more than 2 heads - expected winnings if $1 for each heads - expected winnings if can re-toss 1 coin if chosen 1 20 sided die - player A and B both choose a number. Whoever's number closest to value of the die wins the amount on the die. - optimal strategy? do you want to go first? - what is the expected winnings?
avatar

Assistant Trader

Interviewed at Jane Street

4.4
Feb 11, 2015

Toss 4 coins - probability of more than 2 heads - expected winnings if $1 for each heads - expected winnings if can re-toss 1 coin if chosen 1 20 sided die - player A and B both choose a number. Whoever's number closest to value of the die wins the amount on the die. - optimal strategy? do you want to go first? - what is the expected winnings?

You have a 3x3x3 cube painted yellow on the outside. The cube is then split up into 1x1x1 cubes. You pick one of these cubes at random and notice that the side you are looking at is painted. Without knowing if any of the other sides are painted, what is the probability that this was a corner cube?
avatar

Assistant Trader

Interviewed at Jane Street

4.4
Feb 25, 2015

You have a 3x3x3 cube painted yellow on the outside. The cube is then split up into 1x1x1 cubes. You pick one of these cubes at random and notice that the side you are looking at is painted. Without knowing if any of the other sides are painted, what is the probability that this was a corner cube?

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