modern portfolio theory

E431733

Modern portfolio theory is a foundational financial framework that explains how investors can construct diversified portfolios to maximize expected return for a given level of risk using quantitative optimization.

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Predicate Object
instanceOf financial theory
investment theory
portfolio optimization framework
alsoKnownAs MPT NERFINISHED
mean–variance theory
appliedIn asset allocation
mutual fund design
pension fund management
portfolio construction
assumes asset returns are jointly normally distributed
assets are infinitely divisible
investors are risk averse
investors have homogeneous expectations
investors make decisions based only on mean and variance of returns
investors prefer higher expected return to lower expected return
markets are frictionless
no taxes or transaction costs
single-period investment horizon
basedOn covariance of returns
expected return
mean–variance analysis
variance of return
coreConcept efficient frontier
optimal portfolio selection
portfolio diversification
return maximization for a given level of risk
risk minimization for a given expected return
risk–return tradeoff
criticizedFor ignoring higher moments such as skewness and kurtosis
reliance on normality of returns
sensitivity to estimation error in inputs
use of variance as a symmetric risk measure
developedBy Harry Markowitz NERFINISHED
extendedBy downside risk models
multi-period portfolio optimization
post–modern portfolio theory NERFINISHED
field finance
financial economics NERFINISHED
implies benefits of diversification depend on correlations between asset returns
idiosyncratic risk can be diversified away
only efficient portfolios should be held by rational investors
systematic risk cannot be eliminated by diversification
influenced Black–Litterman model NERFINISHED
capital asset pricing model
modern risk management practices
mathematicallyFormulatedAs constrained optimization of expected return subject to variance
quadratic optimization problem
publicationYear 1952
publishedIn Journal of Finance NERFINISHED
usesMeasureOf portfolio variance
standard deviation of returns

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efficient market hypothesis relatedConcept modern portfolio theory