 For example, if the logarithmic return of a security per trading day is 0.14%, assuming 250 trading days in a year, then the annualised logarithmic rate of return is 0.14%/(1/250) = 0.14% x 250 = 35%

When the return is calculated over a series of sub-periods of time, the return in each sub-period is based on the investment value at the beginning of the sub-period.Assuming returns are reinvested, if the returns over formula_34 successive time sub-periods are formula_35, then the cumulative return or overall return over the overall time period is the result of compounding the returns together