Tenors and schedules

Modules: Shoals.Tenor, Shoals.Schedule.

A calendar tenor represents a Std.Datetime period, with months measured by the calendar. Money-market tenors such as overnight are counted in business days instead. A schedule steps from a fixed anchor by whole tenors and can then roll each date in a business calendar. Dates and periods come from Std.Datetime, and business-day rules from Std.Datetime.Business.

Calendar tenors

type Tenor    // opaque: a positive Std.Datetime.Period

def tenor_days(n: i64) -> Tenor
def tenor_weeks(n: i64) -> Tenor
def tenor_months(n: i64) -> Tenor
def tenor_years(n: i64) -> Tenor
def tenor_period(t: Tenor) -> Period
def tenor_apply(t: Tenor, reference: Date, overflow: DayOverflow) -> Date
def parse_tenor(text: string) -> Tenor
def try_parse_tenor(text: string) -> Option[Tenor]

A week is seven days and a year is twelve months. Each constructor fails with a domain error for a count below 1. tenor_apply adds the period with Std.Datetime.date_add_period and takes the caller's DayOverflow policy, because a month step from the 31st has no day-31 answer in a shorter month: ClampToMonthEnd moves to the month's last day and RejectInvalidDay fails.

parse_tenor accepts exactly one or more ASCII digits with a value of at least 1 followed by D, W, M, or Y, such as 3M or 10Y. It fails on anything else, including a sign, a space, a lowercase unit, and ON, TN, or SN, which are not calendar tenors. try_parse_tenor returns None instead of failing.

For example:

tenor_apply(tenor_months(3i64), date(2025i64, 6i64, 15i64), RejectInvalidDay)
// 2025-09-15, 92 days later
tenor_apply(tenor_months(1i64), date(2025i64, 1i64, 31i64), ClampToMonthEnd)
// 2025-02-28
tenor_apply(tenor_years(1i64), date(2024i64, 2i64, 29i64), ClampToMonthEnd)
// 2025-02-28

Business-day tenors and spot lags

type BusinessDayTenor =
  | BusinessDayTenor { lag: i64, length: i64 }

def overnight() -> BusinessDayTenor            // lag 0, length 1
def tomorrow_next() -> BusinessDayTenor        // lag 1, length 1
def spot_next(spot_days: i64) -> BusinessDayTenor  // lag spot_days, length 1
def business_day_tenor_dates(t: BusinessDayTenor, trade: Date, calendar: BusinessCalendar, start: NonBusinessStart) -> (Date, Date)

type SpotLag
def two_calendar_lag(days: i64, count_calendar: BusinessCalendar, adjust_calendar: BusinessCalendar, roll: BusinessDayRoll) -> SpotLag
def lagged_date(lag: SpotLag, trade: Date) -> Date

ON, TN, and SN are a lag and a length in business days: the period starts lag business days after the trade date and ends length business days after its start. business_day_tenor_dates returns the start and end in the given calendar; start states what a non-business trade date does, either RejectNonBusinessStart or RollStartForward. Spot-next starts at spot, so the caller states the spot lag. Over the 4 July 2025 holiday in us_federal(), overnight from 3 July runs to 7 July.

A spot lag follows the two-calendar form of OpenGamma Strata's DaysAdjustment: lagged_date counts days business days in count_calendar, then rolls the result in adjust_calendar. Counting from a non-business trade date, the first step lands on the next business day. For example, two Japanese bank days from 2 July 2025 reach 4 July, which the US federal roll moves to 7 July; from 30 December 2025 the Japanese year-end closures move the count to 6 January 2026, where a US count reaches 2 January. A negative lag fails, and so does a date outside either calendar's horizon.

The examples use us_federal(), the US federal government calendar, as a calendar with known closures; it is not a USD settlement calendar (see Holiday calendars).

Schedules

type StubConvention =
  | NoStub
  | ShortInitial
  | LongInitial
  | ShortFinal
  | LongFinal

def schedule_unadjusted(start: Date, end: Date, tenor: Tenor, stub: StubConvention, end_of_month: bool, overflow: DayOverflow) -> List[Date]
def schedule(start: Date, end: Date, tenor: Tenor, stub: StubConvention, end_of_month: bool, overflow: DayOverflow, calendar: BusinessCalendar, roll: BusinessDayRoll) -> List[Date]

schedule_unadjusted returns the dates from start to end inclusive, strictly increasing. Each date is the anchor plus k whole tenors, never the previous date plus one tenor, so a day of month clamped in February does not drift into the following months. A final stub anchors at start and an initial stub at end. A short stub keeps the irregular period on its own; a long stub merges it into the neighboring regular period. NoStub requires the tenor to divide the span exactly and fails otherwise. With end_of_month true, a month-end anchor and a whole-month tenor keep every date on its month end, and the month end decides the day, so overflow has nothing to decide. Otherwise overflow applies only to the dates the schedule emits. The schedule first selects its dates as whole-tenor steps from the anchor, locating them by clamping, then applies overflow once to each selected step. Under RejectInvalidDay an emitted date on a nonexistent day fails, while a step past the end, or a step a long stub merges away, that would land on one does not. Whether the tenor divides the span is judged under the same policy, so the period from 30 December to 28 February is two regular months when clamped and a stub when rejected. A start that is not before the end fails.

schedule rolls each date of the unadjusted schedule in calendar under roll. It fails if two dates roll onto the same business day, rather than silently dropping one, or if a date lies outside the calendar's horizon.

For example:

schedule_unadjusted(date(2025i64, 1i64, 31i64), date(2025i64, 5i64, 31i64), tenor_months(1i64), NoStub, false, ClampToMonthEnd)
// 31 Jan, 28 Feb, 31 Mar, 30 Apr, 31 May

schedule_unadjusted(date(2025i64, 1i64, 15i64), date(2025i64, 12i64, 31i64), tenor_months(3i64), ShortInitial, false, ClampToMonthEnd)
// 15 Jan, then 31 Mar, 30 Jun, 30 Sep, 31 Dec anchored at the end

schedule(date(2025i64, 5i64, 4i64), date(2025i64, 8i64, 4i64), tenor_months(1i64), NoStub, false, ClampToMonthEnd, us_federal(), Following)
// 5 May, 4 Jun, 7 Jul, 4 Aug: Sunday 4 May and the 4 July holiday roll forward