Your question is Time Series Simulation and Theory. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
Explain how you would approach time series simulation and the underlying theory.
Discuss how you would define the data-generating process, distinguish stationary from nonstationary behavior, model serial dependence and conditional volatility, generate paths, and validate the simulated output. Cover both parametric and resampling-based approaches, including assumptions, calibration, uncertainty, and failure modes. Explain how you would adapt the simulation for financial returns, where heavy tails, volatility clustering, leverage effects, and extreme dependence may matter.