goldmansachs | | Interview Experience
Interview Date: Not specified
Result: Not specified
Difficulty: Not specified
Interview Process
The interview process consisted of three rounds. The first two rounds focused on probability and expected values, while the third round delved into finance-related concepts.
Technical Questions
Round 1:
- What is the expected value of seeing all faces of a fair 12-sided die?
- Given a 10-sided die and a 6-sided die, if a number is guessed which is the sum of the two dice, what is the expected gain if the guess is correct?
- Given 101 numbers, can we guarantee that there is at least one subset whose sum is divisible by 11?
Round 2:
- For a fair 6-sided die, if the number rolled is the profit and you can choose to re-roll up to three times, what is the expected gain?
- Using the rules from the previous question, if there is a cost of $1 for each toss, what is the expected gain?
- Implement the previous scenario in Python.
Round 3:
- Given credit card, car loan, mortgage, and bond, rank them by interest rate from highest to lowest and explain the reasoning.
- Under what circumstances would one consider prepayment? What is the relationship with interest rates?
- Discuss duration. What is duration? How does expiration affect duration? If not a zero-coupon bond, how do coupon size and frequency affect duration?
- What is the relationship direction between the price of fixed income products and interest rates?
Tips & Insights
Be prepared to explain your reasoning clearly for each question, especially in finance-related topics. Understanding the underlying concepts is crucial for success in the interview.