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  2. Modern portfolio theory - Wikipedia

    en.wikipedia.org/wiki/Modern_portfolio_theory

    Under the model: Portfolio return is the proportion-weighted combination of the constituent assets' returns. Portfolio return volatility is a function of the correlations ρ ij of the component assets, for all asset pairs (i, j). The volatility gives insight into the risk which is associated with the investment.

  3. Markowitz model - Wikipedia

    en.wikipedia.org/wiki/Markowitz_model

    For example, at risk level x 2, there are three portfolios S, T, U. But portfolio S is called the efficient portfolio as it has the highest return, y 2, compared to T and U[needs dot]. All the portfolios that lie on the boundary of PQVW are efficient portfolios for a given risk level. The boundary PQVW is called the Efficient Frontier. All ...

  4. Black–Litterman model - Wikipedia

    en.wikipedia.org/wiki/Black–Litterman_model

    In finance, the Black–Litterman model is a mathematical model for portfolio allocation developed in 1990 at Goldman Sachs by Fischer Black and Robert Litterman.It seeks to overcome problems that institutional investors have encountered in applying modern portfolio theory in practice.

  5. Portfolio optimization - Wikipedia

    en.wikipedia.org/wiki/Portfolio_optimization

    Portfolio optimization is the process of selecting an optimal portfolio (asset distribution), out of a set of considered portfolios, according to some objective. The objective typically maximizes factors such as expected return , and minimizes costs like financial risk , resulting in a multi-objective optimization problem.

  6. Merton's portfolio problem - Wikipedia

    en.wikipedia.org/wiki/Merton's_portfolio_problem

    The assumption of constant investment opportunities can be relaxed. This requires a model for how ,, change over time. An interest rate model could be added and would lead to a portfolio containing bonds of different maturities. Some authors have added a stochastic volatility model of stock market returns.

  7. Financial modeling - Wikipedia

    en.wikipedia.org/wiki/Financial_modeling

    Financial modeling is the task of building an abstract representation (a model) of a real world financial situation. [1] This is a mathematical model designed to represent (a simplified version of) the performance of a financial asset or portfolio of a business, project , or any other investment.

  8. Multiple factor models - Wikipedia

    en.wikipedia.org/wiki/Multiple_factor_models

    In addition the global model applied to a single country portfolio would often be at odds with the local market model. Torre resolved these difficulties by introducing a two-stage factor analysis. The first stage consists of fitting a series of local factor models of the familiar form resulting in a set of factor returns f(i,j,t) where f(i,j,t ...

  9. Post-modern portfolio theory - Wikipedia

    en.wikipedia.org/wiki/Post-modern_portfolio_theory

    The result was an asset allocation model that PRI licensed Brian Rom to market in 1988. Mr. Rom coined the term PMPT and began using it to market portfolio optimization and performance measurement software developed by his company. These systems were built on the PRI downside- risk algorithms.

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