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  2. Volatility (finance) - Wikipedia

    en.wikipedia.org/wiki/Volatility_(finance)

    Volatility (finance) In finance, volatility (usually denoted by "σ") is the degree of variation of a trading price series over time, usually measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price ...

  3. Forward volatility - Wikipedia

    en.wikipedia.org/wiki/Forward_volatility

    The standard deviation is the square root of the variance. The standard deviation of the continuously compounded returns of a financial instrument is called volatility . The (yearly) volatility in a given asset price or rate over a term that starts from t 0 = 0 {\displaystyle t_{0}=0} corresponds to the spot volatility for that underlying, for ...

  4. Modern portfolio theory - Wikipedia

    en.wikipedia.org/wiki/Modern_portfolio_theory

    Modern portfolio theory. Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk. It is a formalization and extension of diversification in investing, the idea that owning different kinds of financial assets is ...

  5. Markowitz model - Wikipedia

    en.wikipedia.org/wiki/Markowitz_model

    σ M = standard deviation of the market portfolio σ P = standard deviation of portfolio (R M – I RF)/σ M is the slope of CML. (R M – I RF) is a measure of the risk premium, or the reward for holding risky portfolio instead of risk-free portfolio. σ M is the risk of the market portfolio. Therefore, the slope measures the reward per unit ...

  6. Single-index model - Wikipedia

    en.wikipedia.org/wiki/Single-index_model

    The single-index model (SIM) is a simple asset pricing model to measure both the risk and the return of a stock. The model has been developed by William Sharpe in 1963 and is commonly used in the finance industry. Mathematically the SIM is expressed as: where: These equations show that the stock return is influenced by the market (beta), has a ...

  7. Downside risk - Wikipedia

    en.wikipedia.org/wiki/Downside_risk

    Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. [ 1][ 2] Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both ...

  8. Sharpe ratio - Wikipedia

    en.wikipedia.org/wiki/Sharpe_ratio

    Sharpe ratio. In finance, the Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) measures the performance of an investment such as a security or portfolio compared to a risk-free asset, after adjusting for its risk. It is defined as the difference between the returns of the investment and the ...

  9. Average true range - Wikipedia

    en.wikipedia.org/wiki/Average_true_range

    Average true range. Average true range (ATR) is a technical analysis volatility indicator originally developed by J. Welles Wilder, Jr. for commodities. [1][2] The indicator does not provide an indication of price trend, simply the degree of price volatility. [3] The average true range is an N-period smoothed moving average (SMMA) of the true ...