Quantitative Analyst Intern Interview Questions

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N coffee chains are competing for market share by a fierce advertising battle. each day a percentage of customers will be convinced to switch from one chain to another. Current market share and daily probability of customer switching is given. If the advertising runs forever, what will be the final distribution of market share? Assumption: N is an integer less than 25, Total market share is 1.0, probability that a customer switches is independent of other customers and days. Example: 2 coffee chains: A and B market share of A: 0.4 market share of B: 0.6 Each day, there is a 0.2 probability that a customer switches from A to B Each day, there is a 0.1 probability that a customer switches from B to A input: market_share=[0.4,0.6], switch_prob = [[.8,.2][.1,.9]] output: [0.3333 0.6667]
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Quantitative Developer

Interviewed at AKUNA CAPITAL

4
Mar 23, 2018

N coffee chains are competing for market share by a fierce advertising battle. each day a percentage of customers will be convinced to switch from one chain to another. Current market share and daily probability of customer switching is given. If the advertising runs forever, what will be the final distribution of market share? Assumption: N is an integer less than 25, Total market share is 1.0, probability that a customer switches is independent of other customers and days. Example: 2 coffee chains: A and B market share of A: 0.4 market share of B: 0.6 Each day, there is a 0.2 probability that a customer switches from A to B Each day, there is a 0.1 probability that a customer switches from B to A input: market_share=[0.4,0.6], switch_prob = [[.8,.2][.1,.9]] output: [0.3333 0.6667]

Tell me about yourself (followed up with details about your projects) What happens if you initialize the weights of a neural network to zero? What happens to the estimators of linear regression if you double the dataset? What is ridge regression? How do you sample points uniformly from a circle? How do you sample points uniformly from a sphere? Leetcode medium DP problem (jump game)
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Quantitative Researcher

Interviewed at Citadel

4
Sep 20, 2021

Tell me about yourself (followed up with details about your projects) What happens if you initialize the weights of a neural network to zero? What happens to the estimators of linear regression if you double the dataset? What is ridge regression? How do you sample points uniformly from a circle? How do you sample points uniformly from a sphere? Leetcode medium DP problem (jump game)

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