
Efficient frontier maximizes return for a given risk level
Efficient frontier maximizes return for a given risk level
The efficient frontier represents the optimal set of investment portfolios. Each point on this frontier offers the highest expected return for a specific level of risk. Investors aim to select portfolios that lie on this frontier to achieve the best possible risk-adjusted returns.
Example
Suppose an investor chooses a portfolio on the efficient frontier with a standard deviation of 10%. This portfolio provides the highest expected return among all portfolios with the same level of risk (standard deviation).
Understanding the efficient frontier helps investors make informed decisions, optimizing their portfolios for maximum return per unit of risk.
Modern portfolio theory
Modern Portfolio Theory (MPT) maximizes expected return for a given level of risk through diversification
Risk-free rate
Risk-free rate inferred from zero-coupon Treasury bonds (T-bills)
Sharpe ratio
Sharpe ratio measures excess return per unit of risk: (R - Rf) / σ
Treynor ratio
Treynor ratio measures excess return per unit of systematic risk
Risk parity
Risk parity allocates based on risk contribution, not capital allocation
Value at risk
Value at Risk (VaR) estimates potential loss under normal market conditions
Educational content, not financial advice.
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