Portfolio Risk Calculator
Measure the risk and expected return of a multi-asset portfolio. Enter up to six holdings with their weights, expected returns and volatilities, set the average correlation between assets, and see your portfolio volatility, Sharpe ratio, diversification benefit, per-asset risk contributions and how risk changes with correlation.
Portfolio Holdings
Market & Portfolio Settings
Results
Portfolio Volatility (Risk)
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Risk-return map: assets and portfolio
Risk Contribution by Asset
How much of the portfolio's total volatility each asset contributes. Contributions sum to 100%.
| Asset | Weight | Return | Vol | Risk Contribution | % of Risk |
|---|
Correlation Sensitivity
How portfolio volatility changes as the average correlation between assets varies, holding weights, returns and volatilities constant.
| Correlation | Portfolio Vol | Diversification Benefit |
|---|
Calculation Assumptions
- • Weights are normalised to 100% before calculation if the entered weights don't sum exactly.
- • Expected portfolio return = Σ (weightᵢ × returnᵢ).
- • Portfolio variance = Σ wᵢ²σᵢ² + 2ρ Σi<j wᵢwⱼσᵢσⱼ using a single average correlation ρ.
- • Risk contribution RCᵢ = wᵢ × Cov(i, portfolio) ÷ σ_portfolio; the RCᵢ sum to σ_portfolio.
- • Sharpe ratio = (expected return − risk-free rate) ÷ portfolio volatility.
- • 95% VaR (annual) = 1.645 × portfolio volatility × portfolio value.
- • Diversification benefit = weighted-average volatility − portfolio volatility.
- • Asset returns are assumed log-normally distributed with no fat tails, skew or kurtosis.
Portfolio risk measures shown here rely on historical or assumed volatilities and a single average correlation. Real markets feature time-varying correlations, fat tails, liquidity and credit risk, and regime changes that this calculator does not capture. Expected returns are forecasts, not guarantees. This calculator is for informational and educational purposes only and is not investment advice.
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What Is a Portfolio Risk Calculator?
A Portfolio Risk Calculator helps investors estimate the risk associated with a collection of investments. Depending on the inputs available, it can help assess portfolio volatility, asset allocation, concentration, market sensitivity and potential losses under selected assumptions.
An investment portfolio may contain stocks, bonds, mutual funds, exchange-traded funds, cash and other assets. Each holding can respond differently to interest rates, economic developments, company performance and market sentiment. Portfolio risk depends not only on the risk of each investment, but also on how the holdings interact with one another.
A portfolio risk calculator brings selected risk measures together to make the potential impact of market movements easier to understand. Investors can use these calculations to review their exposure, evaluate diversification, compare alternative allocations and identify areas that may require closer attention.
Measure Portfolio Volatility
Estimate how much portfolio returns may fluctuate by considering asset weights, individual volatility and the relationship between holdings.
Understand Portfolio Exposure
Examine allocation, concentration and potential loss scenarios to identify how individual holdings can influence overall portfolio risk.
Portfolio Risk Calculation Formula
Portfolio risk can be measured in different ways. One common measure is portfolio volatility, calculated using the weights of individual assets, their return volatility and the covariance between their returns.
This formula estimates portfolio return variance for two assets. It accounts for the risk of each holding and the degree to which their returns move together.
Standard deviation is the square root of variance. When portfolio return data use decimal returns, volatility calculated from that data can be expressed as a percentage.
Correlation is an important part of portfolio risk. Two volatile investments may produce a portfolio with lower volatility than either a simple weighted average of their volatilities or the sum of their individual risks when their returns do not move perfectly together.
Calculation note: The two-asset equation is an illustrative model. A portfolio with more than two holdings requires the variances and pairwise covariances across the assets, or an equivalent covariance-matrix calculation, to estimate portfolio volatility correctly.
Portfolio Risk Calculation Example
A simple example illustrates how allocation and correlation can affect the volatility of a two-asset portfolio. All figures are hypothetical and are used only to explain the mathematics.
Two-Asset Portfolio Example
Assume a portfolio invests 60% in Asset A and 40% in Asset B. Their annualised volatilities are 20% and 10%, respectively, and their historical return correlation is 0.25.
Portfolio volatility = √0.0184 ≈ 0.13565, or approximately 13.56%.
In this example, the weighted-average volatility of the individual assets is 16% (60% × 20% + 40% × 10%). The portfolio's estimated volatility is lower because the assets are not perfectly correlated. This is an illustration of a potential diversification benefit, not a promise that the portfolio will experience smaller losses in every market environment.
Important: The result depends on the accuracy of the volatility and correlation assumptions, the measurement period and the portfolio weights. Historical relationships can change, particularly during market stress.
How to Calculate Portfolio Weights
Portfolio weights show how much of the total portfolio value is invested in each holding. They help identify the investments that contribute most to the portfolio's capital allocation.
Use the current market value of each holding and a consistent total portfolio value. Include the relevant assets and cash positions based on the scope of the analysis.
Portfolio Allocation Example
Consider a portfolio valued at ₹10,00,000, allocated across three hypothetical holdings.
| Holding | Market Value | Portfolio Weight |
|---|---|---|
| Asset A | ₹5,00,000 | 50% |
| Asset B | ₹3,00,000 | 30% |
| Asset C | ₹2,00,000 | 20% |
| Total | ₹10,00,000 | 100% |
Allocation percentages help reveal where the portfolio's value is concentrated. For instance, a holding representing 50% of total portfolio value can have a substantial effect on the outcome of the whole portfolio if its market price changes.
Check the denominator: Weights calculated using market value may differ from weights based on invested cost. For risk analysis and current allocation reviews, market value is commonly used to represent the portfolio's present exposure.
How Diversification Affects Portfolio Risk
Diversification means spreading investments across holdings or asset categories that may respond differently to market conditions. Its potential benefit depends on the relationships among investments, not merely the number of holdings.
Lower Correlation
When assets have less-correlated returns, combining them can reduce portfolio volatility compared with an otherwise similar portfolio of assets that move closely together.
Concentration Risk
A portfolio dominated by a single stock, sector, country or asset class can be especially exposed to adverse developments affecting that particular area.
Asset Class Diversification
Holding different categories, such as equities, bonds and cash, can distribute exposure across different sources of investment risk.
Rebalancing
Market movements can shift portfolio weights away from an intended allocation. Reviewing and rebalancing those weights can help maintain a chosen risk profile.
How Correlation Changes Portfolio Volatility
Using the same 60% and 40% allocation, 20% volatility for Asset A and 10% volatility for Asset B, the following comparison changes only the assumed correlation.
| Correlation | Relationship | Estimated Portfolio Volatility |
|---|---|---|
| +1.00 | Perfect positive correlation | 16.00% |
| +0.25 | Moderate positive correlation | 13.56% |
| 0.00 | Zero linear correlation | 12.65% |
| −0.50 | Negative correlation | 10.58% |
The comparison demonstrates that correlation affects the combined risk of a portfolio. However, correlations are estimates based on selected data and may rise or change during stressed markets. Diversification can reduce some risks but cannot eliminate investment losses.
How to Calculate Portfolio Beta
Portfolio beta measures the portfolio's estimated sensitivity to movements in a chosen market benchmark. It is most useful when the component betas are measured against the same benchmark and are combined using consistent portfolio weights.
This weighted calculation assumes the portfolio weights represent the relevant invested capital and each asset's beta is measured against the same market benchmark.
Portfolio Beta Example
Suppose 60% of a portfolio is allocated to an asset with beta 1.20 and 40% is allocated to an asset with beta 0.70.
Calculation: 0.60 × 1.20 + 0.40 × 0.70 = 1.00.
A beta of 1.00 suggests that the portfolio's historical market sensitivity is broadly comparable to the selected benchmark under the beta model used. A beta above 1.00 indicates greater estimated sensitivity, while a beta below 1.00 indicates lower estimated sensitivity. Beta does not capture every type of risk and is not a guarantee of future price movements.
What Is Portfolio Value at Risk (VaR)?
Value at risk is a statistical estimate of a portfolio's potential loss over a specified time horizon at a selected confidence level, under a particular model and its assumptions. It can help describe downside exposure, but it is not a guaranteed maximum loss.
This simplified illustration assumes approximately zero expected daily return and uses a selected normal-distribution multiplier. A fuller model may account for expected return, portfolio covariance and other relevant assumptions.
Illustrative One-Day VaR Example
Assume a portfolio worth ₹10,00,000 has estimated daily volatility of 1.5%. Using a normal-distribution multiplier of approximately 1.645 for a one-sided 95% confidence level produces the following simplified estimate.
Calculation: ₹10,00,000 × 0.015 × 1.645 ≈ ₹24,675.
Under this simplified model, the estimated one-day loss threshold is approximately ₹24,675 at the selected confidence level. The estimate does not mean that losses cannot exceed that amount. Real-world returns may have more extreme outcomes than the assumed distribution, and liquidity can affect how positions are valued or sold.
Model limitation: VaR depends on the model, data, selected time horizon and confidence level. Historical simulation, parametric models and Monte Carlo simulation can produce different estimates. VaR should not be interpreted as a worst-case loss or used as the only measure of risk.
How to Use a Portfolio Risk Calculator
The steps below help you prepare consistent portfolio information before evaluating risk. The calculations available depend on the inputs supported by your tool.
Enter Portfolio Value
Use the current market value of the investments included in the analysis. Establish whether cash, deposits and other holdings are part of the portfolio being assessed.
Review Asset Allocation
Enter each holding's value or portfolio weight and check that the allocation totals match the portfolio's scope. Include relevant exposures consistently.
Supply Risk Assumptions
Depending on the calculator, provide volatility, historical returns, asset correlation, beta, confidence level or a scenario loss assumption. Use comparable data periods and clearly identified units.
Review the Results
Read the calculated risk measures together with their assumptions. Consider concentration, market exposure, downside scenarios and the limits of historical estimates.
Factors That Affect Portfolio Risk
Portfolio risk depends on more than price volatility. Several types of market and investment exposure can affect overall results.
- Asset allocation: The proportions invested in equities, bonds, cash and other asset categories affect the portfolio's exposure to different market conditions.
- Concentration: Heavy exposure to one company, industry, geography or investment theme may cause a single adverse development to have a disproportionate effect.
- Market volatility: Higher volatility means returns have fluctuated more widely over the period measured. Historical volatility does not guarantee the same pattern in the future.
- Correlation: The relationships between asset returns affect how individual risks combine. Correlations can change across market regimes.
- Interest-rate risk: Changes in interest rates can affect bond prices, borrowing costs, company valuations and other assets.
- Liquidity risk: Some holdings may be difficult to sell quickly at a reasonable price, particularly during stressed markets.
- Currency risk: International assets can be affected by exchange-rate movements in addition to their local market performance.
- Investment horizon: The time available before the money is needed influences how much volatility may be tolerable for a specific goal.
Practical reminder: A portfolio with many holdings is not necessarily well diversified. Review the underlying companies, sectors, asset classes and common market exposures, including overlapping holdings inside mutual funds and exchange-traded funds.
How to Manage Portfolio Risk
Risk management involves understanding how much risk a portfolio contains and whether that exposure fits an investor's objectives, financial circumstances and investment time horizon.
Set an Allocation Framework
Define how much to allocate across asset categories, industries and individual holdings in a way that reflects your goals and risk tolerance.
Monitor Concentrated Positions
Review the size of major holdings relative to the entire portfolio and understand how a large decline in one position could affect total value.
Test Downside Scenarios
Estimate how the portfolio might respond to hypothetical declines, interest-rate changes or other market shocks. Scenario results depend on the assumptions selected.
Review and Rebalance
Check allocations periodically and consider whether market movements have pushed the portfolio away from its intended investment plan.
An appropriate risk approach depends on individual circumstances. An investor saving for a near-term expense may have different priorities from someone investing for a goal several decades away. The calculator provides analytical information, but it cannot determine the ideal portfolio for every investor.
Frequently Asked Questions About Portfolio Risk
These answers explain common portfolio risk measures, diversification, volatility and the limitations of risk calculations.
1. What is portfolio risk?
Portfolio risk is the possibility that the value or returns of a collection of investments will differ from expectations, including the possibility of financial loss. It can include market, concentration, liquidity, interest-rate, currency and other risks.
2. How is portfolio risk calculated?
One common method calculates portfolio variance using asset weights and the covariance between asset returns, then takes the square root to obtain portfolio volatility. Other measures include beta, value at risk and scenario analysis. The most appropriate measure depends on what aspect of risk you want to examine.
3. What is portfolio volatility?
Portfolio volatility is the standard deviation of portfolio returns over a specified period. It describes the variability of historical or modelled returns, but does not by itself explain the probability or severity of every possible loss.
4. Does diversification eliminate investment risk?
No. Diversification can reduce the impact of some asset-specific risks, particularly when holdings respond differently to market conditions. It cannot eliminate all losses or remove broad market risk, and correlations can change during periods of market stress.
5. What is portfolio beta?
Portfolio beta estimates the sensitivity of portfolio returns to movements in a selected market benchmark. For consistently measured asset betas, a basic calculation uses the sum of each asset's portfolio weight multiplied by its beta. Beta does not capture every form of risk.
6. What is value at risk (VaR)?
VaR estimates a loss threshold over a selected time horizon and confidence level under a stated model. It is sensitive to modelling assumptions and can underestimate extreme losses. It should not be read as a guaranteed maximum loss.
7. Can portfolio risk change without adding new investments?
Yes. Market price movements can change portfolio weights, volatility and concentration even if the investor makes no new transactions. Correlations and market conditions can also change over time.
8. How does asset allocation affect portfolio risk?
Asset allocation determines how much exposure the portfolio has to different investment categories. Because stocks, bonds, cash and other assets have different return characteristics, the mix can substantially influence portfolio volatility and potential losses.
9. Is a portfolio with more holdings always less risky?
No. More holdings do not automatically provide meaningful diversification. Several holdings may have similar underlying exposures or respond to the same economic factors. Concentration and correlations should be assessed alongside the number of investments.
10. How often should portfolio risk be reviewed?
Review frequency depends on the investment strategy, market conditions and personal circumstances. Periodic reviews and allocation-based thresholds can help identify changes, but frequent adjustments are not automatically beneficial. Consider transaction costs and applicable taxes.