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Beta Calculator

Beta Formula:

\[ \beta = \frac{\text{Covariance}(Asset, Market)}{\text{Variance}(Market)} \]

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1. What is Beta Coefficient?

Beta (β) is a measure of a stock's volatility in relation to the overall market. It indicates how much the price of a specific security moves in response to market movements. A beta of 1 means the security's price moves exactly with the market.

2. How Does the Calculator Work?

The calculator uses the beta formula:

\[ \beta = \frac{\text{Covariance}(Asset, Market)}{\text{Variance}(Market)} \]

Where:

Explanation: Beta compares the covariance of the asset's returns with the market's returns to the variance of the market's returns.

3. Importance of Beta Calculation

Details: Beta is crucial for portfolio management, risk assessment, and capital asset pricing model (CAPM) calculations. It helps investors understand the systematic risk of an investment.

4. Using the Calculator

Tips: Enter the covariance between the asset and market, and the variance of the market. Both values should be in the same units (typically squared percentage points for returns).

5. Frequently Asked Questions (FAQ)

Q1: What does a beta less than 1 mean?
A: A beta less than 1 indicates the asset is less volatile than the market. For example, a beta of 0.8 means the asset moves 80% as much as the market.

Q2: What does a beta greater than 1 mean?
A: A beta greater than 1 indicates the asset is more volatile than the market. For example, a beta of 1.2 means the asset moves 20% more than the market.

Q3: Can beta be negative?
A: Yes, negative beta indicates the asset moves in the opposite direction of the market. This is rare but can occur with certain inverse ETFs or gold.

Q4: How is beta used in CAPM?
A: In the Capital Asset Pricing Model, beta is used to calculate the expected return of an asset: Expected Return = Risk-Free Rate + β × (Market Return - Risk-Free Rate).

Q5: What are the limitations of beta?
A: Beta is based on historical data and may not predict future volatility. It also assumes normal market conditions and may not account for extreme market events.

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