This article introduces the concept of consistent linking and algorithms for implementting this concept. Consistent linking is functionally similar to geometric linking. Geometric linking is used for calculating a rate of return for the overall period based on sub-period returns. However, geometric linking generally produces a different result from a rate of return calculated for the overall period considered as a single period. This makes the usage of geometric linking for precise calculation of a rate of return impossible if based on sub-period returns. Consistent linking, unlike geometric linking, always produces the same rate of return as if it calculated an entire period as a single one. Rates of return for sub-periods have to be calculated only once and then can be used in any combination within longer periods.