3-Asset Portfolio Volatility Calculator

3-Asset Portfolio Volatility Calculator

Asset Details

Asset 1
%
%
Asset 2
%
%
Asset 3
%
%

Pairwise Correlation Coefficients (ρ)

Calculated Portfolio Risk

Portfolio Variance (Var(P)): 0.0000

Portfolio Annual Volatility (σP): 0.00%

Var(P) = w₁²σ₁² + w₂²σ₂² + w₃²σ₃² + 2w₁w₂ρ₁₂σ₁σ₂ + 2w₁w₃ρ₁₃σ₁σ₃ + 2w₂w₃ρ₂₃σ₂σ₃ Volatility(P) = √Var(P)

Understanding the potential risk, or volatility, of an investment portfolio is just as crucial as understanding its expected returns. A portfolio might promise high returns, but if it comes with extreme fluctuations, it might not be suitable for an investor’s comfort level or financial goals. For those building a diversified portfolio, especially one with more than just two assets, calculating the overall risk isn’t a simple average of individual asset risks. The true portfolio volatility depends heavily on how the assets move in relation to each other, a concept captured by correlation. Manually performing these complex calculations for multiple assets, especially considering all the pairwise correlations, is a daunting task for most investors. This is where the 3-Asset Portfolio Volatility Calculator on WorkTool.com becomes an indispensable aid, simplifying the quantitative assessment of your portfolio’s risk profile.

Our 3-Asset Portfolio Volatility Calculator empowers you to precisely measure the combined risk of a portfolio containing three distinct assets. You start by inputting the “Weight” or percentage allocation of each asset within your total portfolio, ensuring that these percentages add up to 100%. Next, for each of the three assets, you’ll provide its “Annual Volatility,” which is typically expressed as a standard deviation percentage and represents how much an asset’s price is expected to fluctuate over a year. These individual volatility figures are foundational, but the real nuance comes from understanding how these assets interact.

The critical component that sets this tool apart is the inclusion of “Pairwise Correlation Coefficients.” These numbers, ranging from -1 to +1, describe how strongly and in what direction two assets move together. A correlation of +1 means they move perfectly in sync, 0 means no linear relationship, and -1 means they move in perfectly opposite directions. You’ll input the correlation between Asset 1 & Asset 2, Asset 1 & Asset 3, and Asset 2 & Asset 3. This comprehensive approach to correlation is vital because true diversification benefit comes from combining assets that do not move in lockstep. Assets with low or negative correlation can help reduce overall portfolio volatility even if individual assets are highly volatile.

Once all these detailed inputs are provided—the weights, individual volatilities, and all three pairwise correlations—a simple calculation generates your “Calculated Portfolio Risk.” The tool provides two key outputs: the “Portfolio Variance” and, more practically for most users, the “Portfolio Annual Volatility” as a percentage. This annual volatility figure is an incredibly powerful metric, giving you a single number that represents the expected fluctuations of your entire three-asset portfolio over a year. It allows you to directly compare the risk of different portfolio constructions and ensure your level of risk aligns with your investment objectives.

For any investor looking to build a robust and thoughtfully constructed portfolio, understanding and managing volatility is paramount. The 3-Asset Portfolio Volatility Calculator on WorkTool.com provides the analytical precision needed to optimize your asset allocation for better risk management. By accurately calculating your overall portfolio volatility, it enables you to make more informed decisions about how your assets are weighted and diversified, helping you create a portfolio that is better positioned to meet your financial goals while remaining within your acceptable risk boundaries.

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