Risk Analysis Tool

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

Portfolio volatility calculation
Sharpe ratio analysis
Diversification benefit measurement

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Portfolio Risk Calculator
Measure portfolio diversification and risk metrics

Asset Allocation (%)

Total: 100.0%

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

Portfolio Volatility Calculator
Calculate portfolio standard deviation and variance

Measures

Std Dev, Variance

Quantifies portfolio return uncertainty

Sharpe Ratio Calculator
Measure risk-adjusted returns and portfolio efficiency

Formula

(Return - RF) / σ

Evaluates returns relative to risk taken

Portfolio Diversification Calculator
Analyze diversification benefits and correlation

Correlation

-1 to +1

Measures how assets move together

Asset Allocation Risk Calculator
Evaluate risk across different asset mixes

Asset Classes

Stocks, Bonds, Cash

Optimizes allocation for risk tolerance

Maximum Drawdown Calculator
Estimate worst-case portfolio decline scenarios

Estimate

2-3× Volatility

Projects potential peak-to-trough losses

Modern Portfolio Theory Calculator
Apply MPT principles for optimal portfolios

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 = correlation
Sharpe Ratio = (Rp - Rf) / σp
Diversification Benefit = Weighted Avg Vol - Portfolio Vol

The 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.

📊 Efficient Frontier Diagram

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.

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Portfolio Risk Examples

Balanced Portfolio Risk Example
60/30/10 stocks/bonds/cash allocation with correlation analysis

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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