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  2. Expected shortfall - Wikipedia

    en.wikipedia.org/wiki/Expected_shortfall

    Expected shortfall (ES) is a risk measure—a concept used in the field of financial risk measurement to evaluate the market risk or credit risk of a portfolio. The "expected shortfall at q% level" is the expected return on the portfolio in the worst q % {\displaystyle q\%} of cases.

  3. Coherent risk measure - Wikipedia

    en.wikipedia.org/wiki/Coherent_risk_measure

    The average value at risk (sometimes called expected shortfall or conditional value-at-risk or ) is a coherent risk measure, even though it is derived from Value at Risk which is not. The domain can be extended for more general Orlitz Hearts from the more typical Lp spaces .

  4. Tail value at risk - Wikipedia

    en.wikipedia.org/wiki/Tail_value_at_risk

    Under some formulations, it is only equivalent to expected shortfall when the underlying distribution function is continuous at ⁡ (), the value at risk of level . [2] Under some other settings, TVaR is the conditional expectation of loss above a given value, whereas the expected shortfall is the product of this value with the probability of ...

  5. Value at risk - Wikipedia

    en.wikipedia.org/wiki/Value_at_risk

    For example, if a portfolio of stocks has a one-day 5% VaR of $1 million, that means that there is a 0.05 probability that the portfolio will fall in value by more than $1 million over a one-day period if there is no trading. Informally, a loss of $1 million or more on this portfolio is expected on 1 day out of 20 days (because of 5% probability).

  6. RiskMetrics - Wikipedia

    en.wikipedia.org/wiki/RiskMetrics

    Since there are three risk measures covered by RiskMetrics, there are three incremental risk measures: Incremental VaR (IVaR), Incremental Expected Shortfall (IES), and Incremental Standard Deviation (ISD). Incremental statistics also have applications to portfolio optimization.

  7. A crisis by the numbers: Nursing shortages in 2025 by state - AOL

    www.aol.com/crisis-numbers-nursing-shortages...

    For example, North Carolina has an anticipated shortage of 15% in 2025, rising to 22% by 2037. Conversely, Idaho has an expected shortage of 38% in 2025, falling to 17% by 2037.

  8. US existing home sales fall more than expected in January - AOL

    www.aol.com/news/us-existing-home-sales-fall...

    U.S. existing home sales dropped more than expected in January after three straight monthly increases as high mortgage rates and house prices stifled demand. Home sales decreased 4.9% last month ...

  9. Discounted maximum loss - Wikipedia

    en.wikipedia.org/wiki/Discounted_maximum_loss

    The discounted maximum loss is the expected shortfall at level =. It is therefore a coherent risk measure . The worst-case risk measure ρ max {\displaystyle \rho _{\max }} is the most conservative (normalized) risk measure in the sense that for any risk measure ρ {\displaystyle \rho } and any portfolio X {\displaystyle X} then ρ ( X ) ≤ ρ ...