360-day calendar


The 360-day calendar is a method of measuring durations used in financial markets, in computer models, in ancient literature, and in prophetic literary genres.
It is based on merging the three major calendar systems into one complex clock, with the 360-day year derived from the average year of the lunar and the solar: + 354.3829 /2 = 719.6254/2 = 359.8127 days, rounding to 360.
A 360-day year consists of 12 months of 30 days each, so to derive such a calendar from the standard Gregorian calendar, certain days are skipped.
For example, the 27th of June would be the 4th of July in the USA.

Ancient Calendars

Ancient calendars around the world initially used a 360-day calendar.

Rome

According to Plutarch's Parallel Lives Romans initially used a calendar which had 360 days, with varying length of months. However, Macrobius' Saturnalia and Censorinus' The Birthday Book, claim that the original Roman calendar had 304 days split into 10 months.

India

The Rig Veda describes a calendar with twelve months and 360 days.

Mesoamerica

In the Mayan Long Count Calendar, the equivalent of the year, the tun, was 360 days.

Egypt

Ancient Egyptians also used a 360-day calendar. One myth tells of how the extra 5 days were added.

Financial use

A duration is calculated as an integral number of days between startdate A and enddate B. The difference in years, months and days are usually calculated separately:
There are several methods commonly available which differ in the way that they handle the cases where the months are not 30 days long, i.e. how they adjust dates:

European method (30E/360)

Source:

US/NASD">Financial Industry Regulatory Authority">NASD method (30US/360)

Source:

[International [Swaps and Derivatives Association|ISDA]] method

Sources:

BMA">Bond Market Association">BMA/PSA">Public Securities Association">PSA method

Source:

Alternative European method (30E+/360)

Sources:
PackageFunctionVariant
Apache OpenOffice, Collabora Online, LibreOffice and Microsoft ExcelDAYS360NASD, but not SIA-compliant
Apache OpenOffice, Collabora Online, LibreOffice and Microsoft ExcelDAYS360European
Apache OpenOffice, Collabora Online, LibreOffice and Microsoft ExcelYEARFRACNASD and European
SQL Server 2000 Analysis ServicesDays360
Mathworks Financial Toolboxdays360US/NASD
Mathworks Financial Toolboxdays360eEuropean
Mathworks Financial Toolboxdays360isdaISDA
Mathworks Financial Toolboxdays360psaPSA
GnumericDAYS360
Apple NumbersDAYS360NASD and European
Apple NumbersYEARFRACNASD and European