Portfolio Risk Calculator - Investment Portfolio Risk & Diversification Calculator
Free portfolio risk calculator & diversification tool. Measure portfolio volatility, Sharpe ratio, and analyze investment risk with comprehensive financial metrics. Our calculator helps investors assess portfolio risk using Modern Portfolio Theory with asset allocation analysis, correlation modeling, and risk-adjusted return calculations for optimal diversification strategies.
Last updated: October 19, 2025
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Asset Allocation (%)
Risk Parameters
Annual standard deviation (typical: 15-20% for stocks)
Annual standard deviation (typical: 4-8% for bonds)
Correlation between stocks and bonds (-1 to 1, typical: 0.1-0.3)
Risk Analysis
Risk Level
Moderate Risk
Portfolio Volatility
11.30%
annual standard deviation
Sharpe Ratio
0.37
Max Drawdown
28.2%
Diversification Benefit
1.30%
risk reduction from diversification
Analysis:
Balanced portfolio with appropriate risk-return profile.
Portfolio Risk Formula:
- • σp² = ws²σs² + wb²σb² + 2wswbσsσbρ
- • Lower correlation = better diversification
- • Sharpe Ratio = (Return - Risk-Free) / Volatility
- • Volatility measures portfolio uncertainty
Portfolio Risk Calculator Types & Investment Analysis Tools
Measures
Std Dev, Variance
Quantifies portfolio return uncertainty
Formula
(Return - RF) / σ
Evaluates returns relative to risk taken
Correlation
-1 to +1
Measures how assets move together
Asset Classes
Stocks, Bonds, Cash
Optimizes allocation for risk tolerance
Estimate
2-3× Volatility
Projects potential peak-to-trough losses
Concept
Efficient Frontier
Maximizes return for given risk level
Quick Example Result
60/30/10 stocks/bonds/cash allocation with 18%/6% volatilities:
Portfolio Volatility
11.30%
Risk Level
Moderate Risk
How Our Portfolio Risk Calculator Works
Our portfolio risk calculator applies Modern Portfolio Theory to measure investment risk through volatility, correlation, and diversification analysis. The calculation uses variance-covariance methodology to determine portfolio risk metrics, helping investors optimize asset allocation for their risk tolerance and financial goals.
The Portfolio Risk Formula
σp = √(w₁²σ₁² + w₂²σ₂² + 2w₁w₂σ₁σ₂ρ₁₂)Where: w = weights, σ = volatility, ρ = correlationSharpe Ratio = (Rp - Rf) / σpDiversification Benefit = Weighted Avg Vol - Portfolio VolThe calculator uses the variance-covariance method to compute portfolio volatility, accounting for individual asset risks and their correlations. Lower correlation between assets provides better diversification, reducing portfolio risk below the weighted average of individual asset risks—the fundamental insight of Modern Portfolio Theory.
Shows optimal portfolios balancing risk and return along the efficient frontier
Mathematical Foundation
Portfolio risk calculation is based on Modern Portfolio Theory developed by Harry Markowitz (Nobel Prize 1990). The theory demonstrates that portfolio risk depends not just on individual asset risks but critically on correlations between assets. Combining uncorrelated or negatively correlated assets reduces overall portfolio volatility—diversification is the only "free lunch" in investing. The efficient frontier represents optimal portfolios offering maximum return for each risk level, and the Sharpe ratio identifies the portfolio with best risk-adjusted returns.
- Portfolio volatility measures total portfolio return uncertainty
- Lower correlation between assets improves diversification
- Sharpe ratio evaluates returns relative to risk taken
- Maximum drawdown estimates worst-case decline scenarios
- Diversification reduces risk without sacrificing expected returns
- Optimal portfolios lie on the efficient frontier curve
Sources & References
- Portfolio Selection - Harry Markowitz (1952)Seminal paper introducing Modern Portfolio Theory
- The Intelligent Asset Allocator - William BernsteinPractical guide to portfolio construction and risk management
- CFA Institute - Portfolio Management StandardsProfessional standards for investment risk analysis
Need help with other investment calculations? Check out our investment growth simulator and retirement ROI calculator.
Get Custom Calculator for Your PlatformPortfolio Risk Examples
Portfolio Inputs:
- Stocks: 60% at 18% volatility
- Bonds: 30% at 6% volatility
- Cash: 10% at 0% volatility
- Stock-Bond Correlation: 0.2
Risk Metrics:
- Portfolio Volatility: 11.30%
- Undiversified Risk: 13.2%
- Diversification Benefit: 1.30%
- Sharpe Ratio: 0.37
Result: Moderate risk portfolio with moderate risk
Diversification reduces risk by 1.30% compared to undiversified portfolio. Expected max drawdown: approximately 28.2% during severe market downturns.
Conservative Portfolio
30/60/10 stocks/bonds/cash
Risk: ~7% volatility
Aggressive Portfolio
90/10/0 stocks/bonds/cash
Risk: ~17% volatility
Frequently Asked Questions
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