Estimation Under Time Pressure
Fermi estimation is a standard prop trading round. You have sixty seconds.
How many tennis balls fit in a Boeing 747? You have one minute.
7 questions reported in Jump Trading interviews, organised by the group that asks them. Every question carries a model answer and graded feedback on your own attempt.
Questions
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Hard
Model builds
Built in the spreadsheet grid
Expected value under pressure, adverse selection and inventory risk. 3 questions
Fermi estimation is a standard prop trading round. You have sixty seconds.
How many tennis balls fit in a Boeing 747? You have one minute.
A sizing follow-up tests whether you distinguish an estimated edge from a known probability.
A trade wins 55% of the time and loses 45% of the time. It makes or loses 1% of the capital allocated. What is full Kelly sizing, and why might a trading desk use less?
Electronic market making interviews test whether you understand the microstructure you'd trade in.
Why does latency matter to a market maker, and what is queue position worth?
Multiple testing, out-of-sample discipline, capacity and decay. 3 questions
Tests recursive reasoning. A staple at trading firms.
You roll a fair six-sided die. You may either take the value shown in dollars, or re-roll. You get at most two rolls total. What is the expected value of the game if you play optimally? Then: what if…
Systematic trading interviews use this to test whether you can reason about strategy economics.
A strategy makes 250 trades a year, wins 55% of the time, and wins and losses are the same size (1 unit). Estimate the annual Sharpe ratio. What does this tell you about how much edge a systematic…
A recurring structure in quant interviews. Set up the recursion, don't simulate.
You start at position 0. Each step you move +1 with probability 0.5 and −1 with probability 0.5. What is the expected number of steps to first reach +3? Then: what changes if the walk is bounded below…
Greeks, skew, hedging costs and payoff construction. 1 question
Market-making interviews will push hard on gamma.
Define delta and gamma. You are short a straddle and delta-hedged. Explain what happens to your position as the underlying moves, and what you're actually long or short.
Write your answer, get it graded on technical accuracy, completeness and communication, and see exactly which mechanic you missed.
Company tags reflect where a question type is commonly reported in interviews. They are not sourced from, endorsed by, or affiliated with Jump Trading.