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Linked return and wealth calculator

Enter a no-flow return series or already flow-adjusted subperiod returns to calculate linked wealth and historical rate summaries.

Omni Finance AcademyBy Omni Finance Academy
Subperiods
2
Covered years
2
Cumulative linked return
-4 %
Geometric annualized return
-2.0204 %
Arithmetic mean per subperiod
0 %
Cumulative log return
-0.0408

Equal-length subperiods. Enter returns already measured around external cash flows; deposits are not returns. Annualization is a historical rate conversion. A log return is undefined at a complete loss.

96108120012Subperiod end (0 = initial)Wealth index96108120012Subperiod end (0 = initial)Wealth index
Linked wealth from initial index 100

Each point is the entered subperiod return applied to the preceding wealth index, without external cash flows. Lines join recorded period ends.

View the chart values
Linked wealth from initial index 100: underlying values
SeriesSubperiod end (0 = initial)Wealth index
Linked wealth0100
Linked wealth1120
Linked wealth296
On this page

Use returns rather than owner contributions

The tool multiplies equal-period growth factors. It does not infer returns from account balances or adjust deposits automatically. Enter percentages such as 20, −20 and specify the number of these equal periods in one year.

Read the outputs as distinct measures

The default annual observations +20% and −20% end at index 96, giving cumulative return −4%, annual geometric rate -2.02041% and arithmetic mean zero. The chart retains the intermediate index 120, which the endpoint rate omits.

Handle a complete loss explicitly

A terminal −100% produces zero wealth and −100% linked simple return. A finite log return is unavailable. The tool rejects later returns after that complete loss because the model has no new positive capital base. Returns below −100%, invalid frequency and numerical overflow are also rejected.

Keep annualization historical

The annual rate is a conversion from the covered equal-period horizon. It is not a forecast or a pass/fail appraisal of a strategy. Uneven-date observations need an appropriate elapsed-time method outside this frequency-only model.

Further references