
Calculate the equivalent growth rate over time. Useful for CAGR-style analysis with clear start and end values.
The Excel RRI function returns the equivalent growth rate needed to move from a present value to a future value over a fixed number of periods. Many teams use it as a clean CAGR-style rate for summary reporting.
RRI is useful when you do not need full cash-flow detail. If you only know start value, end value, and period count, RRI gives one normalized growth rate for quick comparison.
This makes RRI practical for portfolio snapshots, strategy review decks, and benchmark checks where a single comparable rate is easier to discuss than a full timeline.
Finds one periodic rate that links present value to future value over n periods.
Returns values like 0.084. Format as percentage for presentation.
=RRI(nper, pv, fv)
Conceptually, RRI solves the missing rate in this compounding identity:
pv * (1 + rate)^nper = fv
If your period unit is years, the output is yearly. If your period unit is months, the output is monthly. The formula does not guess unit for you, so period definition must be explicit in the model.
RRI is not a full cash-flow function. It summarizes growth between two endpoints, so use it when endpoint-based interpretation is appropriate.
Checks before final interpretation:
RRI is compact, but other functions are better when your model needs richer structure.
| Function | Main Role | Best Use |
|---|---|---|
RRI |
Equivalent endpoint growth rate | CAGR-style summary from pv/fv/nper |
RATE |
Rate solving with payment structure | Loan or annuity models with PMT |
IRR |
Return from full cash-flow sequence | Project cash-flow evaluation |
PDURATION |
Solve period count instead of rate | Time-to-target planning |
Simple rule: use RRI for endpoint summary, IRR for full periodic cash flows, and RATE for payment-based structures.
A practical workflow:
RRI is especially useful in executive reporting because it normalizes growth into one number. It also helps compare opportunities with different durations once period unit is standardized.
For reliability, test one sensitivity case (for example, higher fv or longer nper) and confirm direction behaves as expected.
Compute annual equivalent growth from 100 to 150 over 5 years.
=RRI(5,100,150)
Find the annual growth rate (CAGR) if a $100 investment grows to $150 in 5 years. Formula: =RRI(5, 100, 150).
Compute annual rate needed to double value in 10 years.
=RRI(10,100,200)
Find the annual growth if $100 doubles to $200 over 10 years. Formula: =RRI(10, 100, 200).
Convert rate output into a direct benchmark test.
=RRI(5,100,150)>0.07
Check if the growth of $100 to $150 (5yr) exceeds a 7% market hurdle. Formula: =RRI(5, 100, 150) > 0.07.
Measure spread versus fixed benchmark rate.
=RRI(5,100,150)-0.05
Find the "Outperformance" gap between your CAGR and a 5% benchmark. Formula: =RRI(5, 100, 150) - 0.05.
RRI gives one equivalent growth rate from pv to fv across n periods.=RRI(nper,pv,fv) with explicit period meaning.Tell your friends about this post