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Beta. or…. “What Is Beta and How Is It Calculated?”. Beta. A “coefficient measuring a stock’s relative volatility” Beta measures a stock’s sensitivity to overall market movements. Source:UBS Warburg Dictionary of Finance and Investment Terms.
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Beta or…. “What Is Beta and How Is It Calculated?”
Beta • A “coefficient measuring a stock’s relative volatility” • Beta measures a stock’s sensitivity to overall market movements Source:UBS Warburg Dictionary of Finance and Investment Terms
In practice, Beta is measured by comparing changes in a stock price to changes in the value of the S&P 500 index over a given time period • The S&P 500 index has a beta of 1
A Generic Example • Stock XYZ has a beta of 2 • The S&P 500 index increases in value by 10% • The price of XYZ is expected to increase 20% over the same time period
Beta can be Negative • Stock XYZ has a beta of –2 • The S&P 500 index INCREASES in value by 10% • The price of XYZ is expected to DECREASE 20% over the same time period
If the beta of XYZ is 1.5 … • And the S&P increases in value by 10% • The price of XYZ is expected to increase 15%
A beta of 0 indicates that changes in the market index cannot be used to predict changes in the price of the stock • The company’s stock price has no correlation to movments in the market index
Source: taken from yahoo.finance.com, except PXLW from bloomberg.com
Beta and Risk • Beta is a measure of volatility • Volatility is associated with risk
Risk-Reward Curve Risk Expected Return
If beta is a measure of risk, then investors who hold stocks with higher betas should expect a higher return for taking on that risk • What does this remind you of?
Beta and CAPM The capital asset pricing model: E(R) = Rf + B(Rm-Rf) where: E(R) = Expected return Rf = risk free rate of return B = beta Rm = market return
WACC Weighted average cost of capital: WACC = (D/V)*Rd*(1-T) + (E/V)*Re where: D = market value of firm’s debt Rd = return on debt securities T = tax rate E = market value of firm’s equity securities Re = return on equity securities (from CAPM) V = total value of firm’s securities (D + V)
WACC and Beta • WACC increases as the beta and the rate of return on the equity securities increases (all else constant) • WACC is used as the discount rate in DCF models • Therefore, increasing WACC reduces the firms valuation to reflect the increase in risk
How to Calculate Beta Beta = Covariance(stock price, market index) Variance(market index) **When calculating, you must compare the percent change in the stock price to the percent change in the market index**
How to Calculate Beta • Easily calculated using Excel and Yahoo! Finance • Use COVAR and VARP worksheet functions • An example: Calculate the beta of Citigroup stock over the 5-yr time period from Jan. 1, 1997 – Dec. 31, 2001
S&P 500 Adjusted Daily Closing Values: January 1, 1997 - December 31, 1997 Citigroup Adjusted Daily Closing Prices: January 1, 1997 - December 31, 1997