# Logarithmic rate of return

## Description

In finance, return is a profit on an investment. It comprises any change in value, and interest or dividends or other such cash flows which the investor receives from the investment. Rate of return is a profit on an investment over a period of time.

The force of interest, or more generally the logarithmic or continuously compounded return is a function of time, which is the rate of change with time of the natural logarithm of the accumulation function.

## Variables

r_{log} | Logarithmic rate of return (dimensionless) |

V_{f} | Final value, including dividends and interest (dimensionless) |

V_{i} | Initial value (dimensionless) |

t | Time length (period) (dimensionless) |