Portfolio Optimization Calculator — Calculate Optimal Asset Allocation

Portfolio Optimization Calculator

Calculate the optimal asset allocation for your investment portfolio using Modern Portfolio Theory (MPT). Determine the efficient frontier based on your risk tolerance, investment horizon, and financial goals.

Step 1: Portfolio Specifications

Modern Portfolio Theory (MPT)

MPT is an investment theory that shows how risk-averse investors can construct portfolios to maximize expected return for a given level of market risk.

Step 2: Risk & Return Preferences

8%
25%

About Risk-Return Tradeoff

Higher potential returns generally come with higher risk. Your risk tolerance should align with your investment goals, time horizon, and financial situation.

Portfolio Optimization Results

Summary
Asset Classes
Efficient Frontier

Optimal Portfolio Allocation

65% Stocks
For moderate risk tolerance with 15-year horizon
Expected Return
8.2%
Portfolio Risk
14.5%
Sharpe Ratio
0.57
Rebalance Frequency
Quarterly

Asset Class Comparison

Asset Class Expected Return Risk (Std Dev) Allocation %

Efficient Frontier Analysis

Portfolio Optimization Formula

Maximize: Expected Return – (Risk Aversion × Portfolio Variance)

The efficient frontier represents optimal portfolios offering the highest expected return for a defined level of risk, based on historical correlations between asset classes.

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