방법 비교

	마르코프 전환 다중프랙탈 모형	Vector Autoregression (VAR)
분야	시계열 분석	계량경제학
계열	Process / pipeline	Regression model
기원 연도	2004	1980
창시자	Luc E. Calvet	Christopher A. Sims
유형	Stochastic volatility model	Multivariate time-series model
원전	Calvet, L. E., & Fisher, A. J. (2004). How to forecast long-run volatility: regime-switching and the estimation of multifractal processes. Journal of Financial Econometrics, 2(1), 49–83.	Sims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48.
별칭	MSM, Markov-switching multifractal volatility	VAR, VAR model, vector autoregressive model, multivariate autoregression
관련	3	5
요약	The Markov-Switching Multifractal (MSM) model is a flexible framework for capturing time-varying volatility and long-memory effects in financial time series. Developed by Calvet and Fisher (2004), it combines Markov chain theory with multifractal scaling principles to generate volatility that exhibits multiple frequency components, each switching between high and low regimes. This approach is particularly effective for modeling asset returns with realistic fat tails and clustered volatility.	Vector Autoregression is a multivariate time-series model in which each variable is regressed on its own lags and the lags of all other variables in the system. Originally proposed by Sims (1980) as a data-driven alternative to large structural macroeconomic models, VAR has become the standard workhorse for dynamic analysis in empirical economics and finance.