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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.
The total Assets Under Management (AUM) of the Indian mutual fund industry as of December 31, 2023, stood at a staggering ₹ 50.78 trillion (US$580 billion). This is a significant milestone, marking over a six-fold increase compared to the ₹ 8.26 trillion (US$95 billion) recorded in December 2013.
A mutual fund is an investment fund that pools money from many investors to purchase securities.The term is typically used in the United States, Canada, and India, while similar structures across the globe include the SICAV in Europe ('investment company with variable capital'), and the open-ended investment company (OEIC) in the UK.
The 5% Value at Risk of a hypothetical profit-and-loss probability density function. Value at risk (VaR) is a measure of the risk of loss of investment/capital.It estimates how much a set of investments might lose (with a given probability), given normal market conditions, in a set time period such as a day.
Jensen's alpha was first used as a measure in the evaluation of mutual fund managers by Michael Jensen in 1968. [2] The CAPM return is supposed to be 'risk adjusted', which means it takes account of the relative riskiness of the asset. This is based on the concept that riskier assets should have higher expected returns than less risky assets.
Betas commonly quoted in mutual fund analyses often measure the exposure to a specific fund benchmark, rather than to the overall stock market. Such a beta would measure the risk from adding a specific fund to a holder of the mutual fund benchmark portfolio, rather than the risk of adding the fund to a portfolio of the market. [4]
One key result of the above analysis is the two mutual fund theorem. [12] [13] This theorem states that any portfolio on the efficient frontier can be generated by holding a combination of any two given portfolios on the frontier; the latter two given portfolios are the "mutual funds" in the theorem's name. So in the absence of a risk-free ...
To see two-fund separation in a context in which no risk-free asset is available, using matrix algebra, let be the variance of the portfolio return, let be the level of expected return on the portfolio that portfolio return variance is to be minimized contingent upon, let be the vector of expected returns on the available assets, let be the vector of amounts to be placed in the available ...