手法を比較

	平均分散ポートフォリオ最適化（マルコヴィッツ）	金利モデル（ヴァシチェク、CIR、ネルソン・シーゲル）
分野	ファイナンス	ファイナンス
系統	Regression model	Regression model
提唱年	1952	1977
提唱者	Harry Markowitz	Vasicek (1977); Nelson & Siegel (1987)
種類	Mean-variance optimization model	Term-structure / short-rate model
原典	Markowitz, H. (1952). Portfolio Selection. The Journal of Finance, 7(1), 77-91.	Vasicek, O. (1977). An Equilibrium Characterization of the Term Structure. Journal of Financial Economics, 5(2), 177–188.
別名	Markowitz portfolio theory, modern portfolio theory, efficient frontier optimization, Ortalama-Varyans Portföy Optimizasyonu (Markowitz)	term structure models, short-rate models, yield curve models, Vasicek model
関連	5	5
概要	Mean-variance portfolio optimization is the foundational model of modern portfolio theory, introduced by Harry Markowitz in 1952. It describes portfolios in an expected-return versus risk (variance) plane and traces the efficient frontier of allocations that offer the highest expected return for each level of risk, covering the minimum-variance portfolio, the maximum-Sharpe-ratio portfolio, and constrained variants.	Interest rate models are structural models that describe how interest rates evolve over time within a stochastic differential equation framework. The family covers Vasicek's normal short-rate process (1977), the CIR square-root process, the adjustable Hull-White extension, and the Nelson-Siegel approach to fitting the yield curve (1987).