Dates from time and frequency
Dates = time2date(Settle,TFactors)
Dates = time2date(___,Compounding,Basis,EndMonthRule)
Settle = '1-Sep-2002'; Dates = datenum(['31-Aug-2005'; '28-Feb-2006'; '15-Jun-2006'; '31-Dec-2006']); Compounding = 2; Basis = 0; EndMonthRule = 1; TFactors = date2time(Settle, Dates, Compounding, Basis,... EndMonthRule)
TFactors = 5.9945 6.9945 7.5738 8.6576
Now use the calculated
time2date and compare the calculated dates with the original set.
Dates_calc = time2date(Settle, TFactors, Compounding, Basis,... EndMonthRule)
Dates_calc = 732555 732736 732843 733042
ans = 4x11 char array '31-Aug-2005' '28-Feb-2006' '15-Jun-2006' '31-Dec-2006'
time2date support for
datetime input for
Settle = '1-Sep-2002'; Dates = datenum(['31-Aug-2005'; '28-Feb-2006'; '15-Jun-2006'; '31-Dec-2006']); Compounding = 2; Basis = 0; EndMonthRule = 1; TFactors = date2time(Settle, Dates, Compounding, Basis,... EndMonthRule); Dates_calc = time2date(datetime(Settle,'Locale','en_US'), TFactors,... Compounding, Basis, EndMonthRule)
Dates_calc = 4x1 datetime array 31-Aug-2005 28-Feb-2006 15-Jun-2006 31-Dec-2006
Settle— Settlement date
Settlement date, specified as a serial date number, date character vector, or datetime array.
TFactors— Time factors
Time factors, corresponding to the compounding value, specified
as a vector.
TFactors must be equal to or greater
Compounding— Rate at which input zero rates are compounded when annualized
2(Semiannual compounding) (default) | scalar with numeric values of
Rate at which input zero rates are compounded when annualized,
specified as a scalar with numeric values of:
–1. Allowed values are defined as:
0 — Simple interest (no
1 — Annual compounding
2 — Semiannual compounding
3 — Compounding three times
4 — Quarterly compounding
6 — Bimonthly compounding
12 — Monthly compounding
365 — Daily compounding
-1 — Continuous compounding
Compounding argument determines
the formula for the discount factors (
Disc = (1 + Z/F)^(-T), where
the compounding frequency,
Z is the zero rate,
T is the time in periodic units, for example,
= F is one year.
Disc = (1 + Z/F)^(-T), where
the number of days in the basis year and
T is a
number of days elapsed computed by basis.
Disc = exp(-T*Z), where
time in years.
Basis— Day-count basis
0(actual/actual) (default) | numeric with value
13| vector of numerics with values
Day-count basis, specified as an integer with a value of
1 vector of integers
0 = actual/actual (default)
1 = 30/360 (SIA)
2 = actual/360
3 = actual/365
4 = 30/360 (BMA)
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.
EndMonthRule— End-of-month rule flag for month having 30 or fewer days
1(in effect) (default) | nonnegative integer
End-of-month rule flag for month having 30 or fewer days, specified
as scalar nonnegative integer [
or a using a
1 vector of
values. This rule applies only when
an end-of-month date for a month having 30 or fewer days.
0 = Ignore rule, meaning that a
payment date is always the same numerical day of the month.
1 = Set rule on, meaning that a
payment date is always the last actual day of the month.
Dates— Dates corresponding to compounded rate quotes between