Skip to content
LeetQuant

Easy · Stochastic Processes & Markov Chains · Numerical · ~5 min · #24

Regime-Switching Stationary Distribution

A market alternates between a calm regime and a volatile regime, modelled as a Markov chain observed daily. From calm, it switches to volatile with probability 0.3; from volatile, it switches back to calm with probability 0.1.

In the long run, what fraction of days are calm?

Hints · 0 of 1 shown

Worked solution

Give the problem an honest attempt first, then reveal the full explanation.

Related questions

Concepts

Stationary distributionDetailed balance

Relevant for

Quant ResearcherQuant Trader