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For Brownian walk, Sharpe ratio / is a dimensional quantity and has units /, because the excess return and the volatility are proportional to / and / correspondingly. Kelly criterion is a dimensionless quantity , and, indeed, Kelly fraction μ / σ 2 {\displaystyle \mu /\sigma ^{2}} is the numerical fraction of wealth suggested for the investment.
The cyclically adjusted price-to-earnings ratio, commonly known as CAPE, [1] Shiller P/E, or P/E 10 ratio, [2] is a stock valuation measure usually applied to the US S&P 500 equity market. It is defined as price divided by the average of ten years of earnings ( moving average ), adjusted for inflation. [ 3 ]
So if the portfolio's excess return had twice as much risk as that of the benchmark, it would need to have twice as much excess return in order to have the same level of risk-adjusted return. The M 2 measure is used to characterize how well a portfolio's return rewards an investor for the amount of risk taken, relative to that of some benchmark ...
A risk premium is a measure of excess return that is required by an individual to compensate being subjected to an increased level of risk. [1] It is used widely in finance and economics, the general definition being the expected risky return less the risk-free return, as demonstrated by the formula below. [2]
In finance, the Treynor reward-to-volatility model (sometimes called the reward-to-volatility ratio or Treynor measure [1]), named after American economist Jack L. Treynor, [2] is a measurement of the returns earned in excess of that which could have been earned on an investment that has no risk that can be diversified (e.g., Treasury bills or a completely diversified portfolio), per unit of ...
The index can also be charted over time and used as a kind of technical analysis indicator, to show stocks going into ulcer-forming territory (for one's chosen time-frame), or to compare volatility in different stocks. [4] As with the Sharpe Ratio, a higher value of UPI is better than a lower value (investors prefer more return for less risk).
Alpha is a measure of the active return on an investment, the performance of that investment compared with a suitable market index.An alpha of 1% means the investment's return on investment over a selected period of time was 1% better than the market during that same period; a negative alpha means the investment underperformed the market.
( ()) is the market premium, the expected excess return of the market portfolio's expected return over the risk-free rate. A derivation [ 14 ] is as follows: (1) The incremental impact on risk and expected return when an additional risky asset, a , is added to the market portfolio, m , follows from the formulae for a two-asset portfolio.