Interview questions
Derivatives & Risk quant interview questions
40 interview-style derivatives & risk problems, ordered from easy to hard.
Derivatives and risk questions appear in options trading, structuring and quant research interviews. Expect put–call parity, no-arbitrage bounds, forward pricing, Black–Scholes intuition, the option Greeks, hedging, duration and Value-at-Risk. Interviewers want to see that you understand why a price must hold, not just the formula: what delta means for a hedge, how gamma and theta trade off, and how volatility changes an option's value. The problems below range from parity and forward pricing to hedging and risk questions with follow-ups. Free problems include hints and worked solutions. To build intuition, open the Greeks Visualizer and drag spot, volatility and time to expiry to see how price, delta, gamma, vega and theta respond, then return to the problems with that picture in mind.
Practice Derivatives & Risk interactivelyEasy (11)
- Annualized Sharpe Ratio · Risk · Sharpe Ratio
- Duration Price Sensitivity · Fixed Income · Duration
- Delta-Neutral Share Count · Options · Delta Hedging
- Forward Price With a Dividend Yield · Forwards
- Compounded Two-Period Return · Returns
- Forward Price With Cost of Carry · Forwards
- Duration-Only Price Sensitivity, Second Instance · Fixed Income · Duration
- Continuously Compounded Zero-Coupon Bond Price · Fixed Income
- Delta-Neutral Share Count, Second Instance · Options · Delta Hedging
- Long Call Profit · Option Payoffs
- Long Put Profit · Option Payoffs
Medium (24)
- One-Period Call Value · Options · Binomial Pricing
- Broken Put-Call Parity · Options · Put-Call Parity
- Beta-Neutral Futures Hedge · Hedging · Beta Hedge
- Two-Asset Portfolio Volatility · Portfolio Theory · Correlation
- Lower Bound for a European Call · Arbitrage Bounds
- Duration Plus Convexity Approximation · Fixed Income
- Minimum-Variance Hedge Ratio · Hedging
- Call Price From Put-Call Parity · Put-Call Parity
- Limits of Square-Root Sharpe Scaling · Sharpe Ratio
- Risk-Neutral Probability in a One-Period Tree · Options · Binomial Pricing
- Two-Asset Portfolio Volatility With Unequal Weights · Portfolio Theory · Correlation
- Minimum-Variance Hedge Ratio, Second Instance · Hedging
- Beta Hedge With Futures, Second Instance · Hedging · Beta Hedge
- Duration Plus Convexity, Second Instance · Fixed Income
- Bond Portfolio DV01 · Fixed Income
- Implied FX Cross Rate · FX
- Annualized Sharpe Ratio, Second Instance · Risk · Sharpe Ratio
- Two-Asset Portfolio Volatility, Uncorrelated Case · Portfolio Theory · Correlation
- Checking Put-Call Parity, Second Instance · Options · Put-Call Parity
- Forward Payoff · Forwards
- Forward Price With Continuous Rates · Forwards
- Call Price From Parity · Put-Call Parity
- Neutralizing Delta · Greeks
- One-Day 95% VaR · Value at Risk