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A life annuity is an annuity whose payments are contingent on the continuing life of the annuitant. The age of the annuitant is an important consideration in calculating the actuarial present value of an annuity. The age of the annuitant is placed at the bottom right of the symbol, without an "angle" mark. For example:
Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.
An example capital allocation line. As illustrated by the article, the slope dictates the amount of return that comes with a certain level of risk. Capital allocation line (CAL) is a graph created by investors to measure the risk of risky and risk-free assets. The graph displays the return to be made by taking on a certain level of risk.
In each age category over age 24, Indigenous Australians had markedly higher rates of circulatory disease than the general population: 5% vs 2% in age group 25–34, 12% vs 4% in age group 35–44, 22% vs 14% in age group 45–54, and 42% vs 33% in age group 55+.
Slope may still be expressed when the horizontal run is not known: the rise can be divided by the hypotenuse (the slope length). This is not the usual way to specify slope; this nonstandard expression follows the sine function rather than the tangent function, so it calls a 45 degree slope a 71 percent grade instead of a 100 percent. But in ...
The version of the formula using s n−1 is useful if one is calculating point-biserial correlation coefficients in a programming language or other development environment where there is a function available for calculating s n−1, but no function available for calculating s n. [2]
Given a collection of pairs (time, cash flow) representing a project, the NPV is a function of the rate of return. The internal rate of return is a rate for which this function is zero, i.e. the internal rate of return is a solution to the equation NPV = 0 (assuming no arbitrage conditions exist).
The slope of the SML is equal to the market risk premium and reflects the risk return tradeoff at a given time: : = + [()] where: E(R i) is an expected return on security E(R M) is an expected return on market portfolio M β is a nondiversifiable or systematic risk