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Optiver Interview Questions

11 real interview questions for Trader Intern roles at Optiver.

Showing 1–11 of 11 questions

1

Complete the sequence: 2, 3, 5, 7, 11, 13.

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2

I throw two fair 6-sided dice. Which expected value is larger: the expected value of the smaller number, or the expected value of the difference between the two numbers?

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3

What is the next term in the sequence: 1/1, 1/2, 1/3, 1/5, 1/8?

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4

How many prime numbers are there from 1 to 10,000?

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5

A family has children one by one until the number of daughters exceeds the number of sons by exactly one. What is the expected total number of children they will have?

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6

You roll three dice, remove any pair duplicates, and get paid the final sum. How much would you pay for a call option on this payout with a strike price of $14?

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7

What is the probability of getting 10 heads in a row when flipping a fair coin?

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8

Given a bracket of teams and their relative strengths or ratings, determine how to allocate bets on the teams to maximize expected profit and loss (PnL).

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9

Calculate the value of 1.02 multiplied by (19.25 minus 0.36).

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10

In a perfectly efficient market, there are two companies: A with a success probability of 2/3 and B with a success probability of 1/2. Both companies are initially worth $50 each. If both companies either succeed or fail, nothing special happens. However, if one company succeeds and the other does not, then the company that does not succeed goes bankrupt. How would the price of each company change if both succeed?

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11

What is 3 plus 5 equal to?

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