# date2time

Time and frequency from dates

## Syntax

## Description

## Examples

### Time and Frequency from Dates

This example shows how to compute time and frequency from dates.

Settle = datetime(2002,9,1); Maturity = [datetime(2005,8,31) ; datetime(2006,2,28) ; datetime(2006,6,15) ; datetime(2006,12,31)]; Compounding = 2; Basis = 0; EndMonthRule = 1; Times = date2time(Settle, Maturity, Compounding, Basis, EndMonthRule)

`Times = `*4×1*
5.9945
6.9945
7.5738
8.6576

## Input Arguments

`Settle`

— Settlement date

datetime scalar | string scalar | date character vector

Settlement date, specified as a scalar datetime, string, or date character vector.

To support existing code, `date2time`

also
accepts serial date numbers as inputs, but they are not recommended.

`Maturity`

— Maturity dates

datetime array | string array | date character vector

Maturity dates, specified as a scalar or an
`N`

-by-`1`

vector using a datetime
array, string array, or date character vectors.

To support existing code, `date2time`

also
accepts serial date numbers as inputs, but they are not recommended.

`Compounding`

— Rate at which the input zero rates were compounded when annualized

`2`

(default) | integer with value of `1`

, `2`

,
`3`

, `4`

, `6`

,
`12`

, `365`

, or
`-1`

(Optional) Rate at which the input zero rates were compounded when annualized, specified as a scalar integer value.

If

`Compounding`

=`1`

,`2`

,`3`

,`4`

,`6`

,`12`

:`Disc = (1 + Z/F)^(-T)`

, where`F`

is the compounding frequency,`Z`

is the zero rate, and`T`

is the time in periodic units; for example,`T = F`

is one year.If

`Compounding`

=`365`

:`Disc = (1 + Z/F)^(-T)`

, where`F`

is the number of days in the basis year and`T`

is a number of days elapsed computed by basis.If

`Compounding`

=`−1`

:`Disc = exp(-T*Z)`

, where`T`

is time in years.

**Data Types: **`double`

`Basis`

— Day-count basis

`0`

(actual/actual) (default) | integer from `0`

to `13`

(Optional) Day-count basis, specified as a scalar or an
`N`

-by-`1`

vector using the following
values:

0 = actual/actual

1 = 30/360 (SIA)

2 = actual/360

3 = actual/365

4 = 30/360 (PSA)

5 = 30/360 (ISDA)

6 = 30/360 (European)

7 = actual/365 (Japanese)

8 = actual/actual (ICMA)

9 = actual/360 (ICMA)

10 = actual/365 (ICMA)

11 = 30/360E (ICMA)

12 = actual/365 (ISDA)

13 = BUS/252

For more information, see Basis.

**Data Types: **`double`

`EndMonthRule`

— End-of-month rule flag

`1`

(in effect) (default) | nonnegative integer `[0,1]`

(Optional) End-of-month rule flag, specified as a scalar or an
`N`

-by-`1`

vector of end-of-month rules.

`0`

= Ignore rule, meaning that a bond coupon payment date is always the same numerical day of the month.`1`

= Set rule on, meaning that a bond coupon payment date is always the last actual day of the month.

**Data Types: **`logical`

## Output Arguments

`F`

— Frequency

numeric

Frequency, returned as a scalar of related compounding frequencies.

**Note**

To obtain accurate results from this function, the
`Basis`

and `Maturity`

arguments must be consistent. If the `Maturity`

argument contains months that have 31 days, `Basis`

must be one of the values that allow months to contain more than 30
days; for example, `Basis`

= `0`

,
`3`

, or `7`

.

`date2time`

is the inverse of `time2date`

.

## Version History

**Introduced before R2006a**

### R2022b: Serial date numbers not recommended

Although `date2time`

supports serial date numbers,
`datetime`

values are recommended instead. The
`datetime`

data type provides flexible date and time
formats, storage out to nanosecond precision, and properties to account for time
zones and daylight saving time.

To convert serial date numbers or text to `datetime`

values, use the `datetime`

function. For example:

t = datetime(738427.656845093,"ConvertFrom","datenum"); y = year(t)

y = 2021

There are no plans to remove support for serial date number inputs.

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