Annual rate of a loan
| A | B | C | |
|---|---|---|---|
| 1 | Months | Payment | Loan |
| 2 | 36 | 350 | 10000 |
Formula: E2: =ROUND(RATE(A2,-B2,C2)*12,4)
Result: 0.1568
The monthly rate is multiplied by 12 to quote an annual rate of about 15.7%.
RATE with worked examples you can test in the live grid. The argument details are in the Excel guide.
The arguments and common errors are covered in the RATE Excel guide; check the function help in Google Sheets for its own argument list.
| A | B | C | |
|---|---|---|---|
| 1 | Months | Payment | Loan |
| 2 | 36 | 350 | 10000 |
Formula: E2: =ROUND(RATE(A2,-B2,C2)*12,4)
Result: 0.1568
The monthly rate is multiplied by 12 to quote an annual rate of about 15.7%.
| A | B | C | |
|---|---|---|---|
| 1 | Years | Start | End |
| 2 | 5 | 1000 | 1800 |
Formula: E2: =ROUND(RATE(A2,0,-B2,C2),4)
Result: 0.1247
With no payments, RATE gives the yearly growth rate that turns 1,000 into 1,800 over five years.
| A | B | C | |
|---|---|---|---|
| 1 | Months | Payment | Loan |
| 2 | 48 | 300 | 12000 |
Formula: E2: =ROUND(RATE(A2,-B2,C2)*12,4)
Result: 0.0924
The result is about 9.2% a year, found by iteration.
A tiny spreadsheet with example data. Edit the formula or any number and see the result.
Formula in D2: =RATE(24,-500,10000)*12
| A | B | C | D | |
|---|---|---|---|---|
| 1 | Year | Cash flow | Result | |
| 2 | 0 | -10000 | 0.181570126828 | |
| 3 | 1 | 3000 | ||
| 4 | 2 | 4000 | ||
| 5 | 3 | 4500 | ||
| 6 | 4 | 2500 |
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