# Documentation/Calc Functions/INTRATE

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## Function name:

INTRATE

## Category:

Financial Analysis

## Summary:

Calculates the annual interest rate that results when a security (or other items) is purchased at an investment value and sold at a redemption value. No interest is paid.

## Syntax:

INTRATE(**Settlement**; **Maturity**; **Investment**; **Redemption**; **Basis**)

## Returns:

Returns a real number which is the interest rate of fully vested security with the given parameters.

## Arguments:

**Settlement** is a date or a reference to a cell containing that date which is the date at which the interest accrued up until then is to be calculated.

**Maturity** is a date or a reference to a cell containing that date which is the date on which the security matures (expires).

**Investment** is a positive real number or a reference to the cell containing that number which is the purchase price.

**Redemption** is a positive real number or a reference to the cell containing that number which is the redemption value of the security per 100 currency units of par value.

**Basis** is a positive integer from 0 to 4 or a reference to a cell containing that integer which is chosen from a list of options and indicates how the year is to be calculated. For more information, visit Wikipedia's Day count convention page.

Basis | Calculation |
---|---|

0 or missing | US method (NASD), 12 months of 30 days each |

1 | Exact number of days in months, exact number of days in year. |

2 | Exact number of days in month, year has 360 days. |

3 | Exact number of days in month, year has 365 days. |

4 | European method, 12 months of 30 days each. |

- If either
**Investment**or**Redemption**is less than or equal to 0 then the function returns an error value. - If either
**Settlement**or**Maturity**are not valid dates then the function returns an value(#VALUE!) error. - If
**Settlement**date is after the**Maturity**date then the function returns an error value. - If
**Basis**is a non-integer value, then the function uses its floor value, i.e. it is truncated to an integer value. - After truncation if
**Basis**is ny number except 0,1,2,3,4 or missing(passed as empty argument or not passed at all),then the function will return an error value.

## Additional details:

- The formula for INTRATE is:

## Examples:

Formula | Description | Returns |
---|---|---|

=INTRATE("1990-01-15"; "2002-05-05"; 1000000; 2000000; 3) | A painting is bought on 1990-01-15 for 1 million and sold on 2002-05-05 for 2 million. The basis is daily balance calculation (basis = 3). The function will calculate the average annual level of interest. | 0.081237480525262 or 8.12% |

=INTRATE("1990-01-15"; "2002-05-05"; 1000000; 2000000) | A painting is bought on 1990-01-15 for 1 million and sold on 2002-05-05 for 2 million. The basis is daily balance calculation (basis = 0 by default). The function will calculate the average annual level of interest. | 0.081264108352145 or 8.13% |

=INTRATE("1990-01-15.05"; "2002-05-05"; 1000000; 2000000; 3) | The function returns an error value if either Settlement or Maturity are not valid dates. |
#VALUE! |

=INTRATE("1990-01-15"; "2002-05-05"; 1000000; 2000000; 3) | The function returns an error when Settlement date is after the Maturity date. |
Err:502 |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

INTRATE