ratecurve

Create ratecurve object for interest-rate curve from dates and data

Description

Build a ratecurve object using ratecurve.

After creating a ratecurve object, you can use the associated object functions forwardrates, discountfactors, and zerorates.

Note

If you have the RateSpec obtained previously from intenvset or toRateSpec for an IRDataCurve or toRateSpec for an IRFunctionCurve, refer to Convert RateSpec to a ratecurve Object.

To price a Swap, FixedBond, FloatBond, FRA, or Deposit instrument, you must create a ratecurve object and then create Discount pricer object.

For more detailed information on this workflow, see Get Started with Workflows Using Object-Based Framework for Pricing Financial Instruments.

For more information on the available instruments, models, and pricing methods, see Choose Instruments, Models, and Pricers.

Creation

Syntax

ratecurve_obj = ratecurve(Type,Settle,Dates,Rates)

ratecurve_obj = ratecurve(___,Name,Value)

Description

ratecurve_obj = ratecurve(Type,Settle,Dates,Rates) creates a ratecurve object.

ratecurve_obj = ratecurve(___,Name,Value) creates a ratecurve object using name-value pairs and any of the arguments in the previous syntax. For example, myRC = ratecurve("zero",Settle,ZeroDates,ZeroRates,'Compounding',2,'Basis',5,'InterpMethod',"pchip",'ShortExtrapMethod',"linear",'LongExtrapMethod',"cubic") creates a ratecurve object for a zero curve. You can specify multiple name-value pair arguments.

Input Arguments

Type — Type of interest-rate curve

string with value "zero", "forward", or "discount" | character vector with value 'zero', 'forward', or 'discount'

Type of interest-rate curve, specified as a string or character vector for one of the supported types.

Data Types: char | string

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

If you use a date character vector or string, the format must be recognizable by datetime because the Settle property is stored as a datetime.

Dates — Dates corresponding to rate data

datetime array | string array | date character vector

Dates corresponding to the rate data, specified as vector using a datetime array, string array, or date character vectors.

To support existing code, ratecurve also accepts serial date numbers as inputs, but they are not recommended.

If you use a date character vectors or strings, the format must be recognizable by datetime because the Dates property is stored as a datetime.

Rates — Interest-rate data for the curve

numeric

Interest-rate data for the curve, specified as a scalar numeric.

Data Types: double

Name-Value Arguments

Specify optional pairs of arguments as Name1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

Before R2021a, use commas to separate each name and value, and enclose Name in quotes.

Example: myRC = ratecurve("zero",Settle,ZeroDates,ZeroRates,'Compounding',2,'Basis',5,'InterpMethod',"pchip",'ShortExtrapMethod',"linear",'LongExtrapMethod',"cubic")

Compounding — Compounding frequency

-1 (default) | possible values include: –1, 0, 1, 2, 3, 4, 6, or 12.

Compounding frequency, specified as the comma-separated pair consisting of 'Compounding' and a scalar numeric using the supported values: –1, 0, 1, 2, 3, 4, 6, or 12.

Data Types: double

Basis — Day count basis

0 (actual/actual) (default) | integer from 0 to 13

Day count basis, specified as the comma-separated pair consisting of 'Basis' and a scalar integer.

• 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

InterpMethod — Interpolation method

"linear" (default) | string with value "linear", "cubic", "next", "previous", "pchip", "v5cubic", "makima", or "spline" | character vector with value 'linear', 'cubic', 'next', 'previous', 'pchip', 'v5cubic', 'makima', or 'spline'

Interpolation method, specified as the comma-separated pair consisting of 'InterpMethod' and a scalar string or character vector using a supported value. For more information on interpolation methods, see interp1.

Data Types: char | string

ShortExtrapMethod — Extrapolation method for data before first data

"next" (default) | string with value "linear", "next", "previous", "pchip", "cubic","v5cubic", "makima", or "spline" | character vector with value 'linear', 'next', 'previous', 'pchip', 'cubic','v5cubic', 'makima', or 'spline'

Extrapolation method for data before first data, specified as the comma-separated pair consisting of 'ShortExtrapMethod' and a scalar string or character vector using a supported value. For more information on interpolation methods, see interp1.

Data Types: char | string

LongExtrapMethod — Extrapolation method for data after last data

"previous" (default) | string with value "linear", "next", "previous", "pchip", "cubic","v5cubic", "makima", or "spline" | character vector with value 'linear', 'next', 'previous', 'pchip', 'cubic','v5cubic', 'makima', or 'spline'

Extrapolation method for data after last data, specified as the comma-separated pair consisting of 'LongExtrapMethod' and a scalar string or character vector using a supported value. For more information on interpolation methods, see interp1.

Data Types: char | string

Output Arguments

ratecurve_obj — Rate curve

ratecurve object

Rate curve, returned as a ratecurve object.

Properties

Type — Type of interest-rate curve

string with value "zero", "forward", or "discount"

Type of interest-rate curve, returned as a string.

Data Types: string

Compounding — Compounding frequency

-1 (default) | possible values include: –1, 0, 1, 2, 3, 4, 6, or 12.

Compounding frequency, returned as a scalar numeric.

Data Types: double

Basis — Day count basis

0 (actual/actual) (default) | integer from 0 to 13

Day count basis of the instrument, returned as a scalar integer.

Data Types: double

Dates — Dates corresponding to rate data

datetime

Dates corresponding to the rate data, returned as a datetime.

Data Types: datetime

Rates — Rates corresponding to dates data

vector

Rates corresponding to dates data, returned as vector.

Data Types: datetime

Settle — Settlement date

datetime

Settlement date, returned as a datetime.

Data Types: datetime

InterpMethod — Interpolation method

"linear" (default) | string with value "linear", "cubic", "next", "previous", "pchip", "v5cubic", "makima", or "spline"

Interpolation method, returned as a scalar string.

Data Types: string

ShortExtrapMethod — Short extrapolation method

"next" (default) | string with value "linear", "next", "previous", "pchip", "cubic","v5cubic", "makima", or "spline"

Short extrapolation method, returned as a scalar string.

Data Types: string

LongExtrapMethod — Long extrapolation method

"previous" (default) | string with value "linear", "next", "previous", "pchip", "cubic","v5cubic", "makima", or "spline"

Log extrapolation method, returned as a scalar string.

Data Types: string

Object Functions

forwardrates	Calculate forward rates for ratecurve object
discountfactors	Calculate discount factors for a ratecurve object
zerorates	Calculate zero rates for ratecurve object
irbootstrap	Bootstrap interest-rate curve from market data

Examples

Create ratecurve Object

Create a ratecurve object using ratecurve.

Settle = datetime(2018,9,15);
Type = "zero";
ZeroTimes = [calmonths(6) calyears([1 2 3 4 5 7 10 20 30])]';
ZeroRates = [0.0052 0.0055 0.0061 0.0073 0.0094 0.0119 0.0168 0.0222 0.0293 0.0307]';
ZeroDates = Settle + ZeroTimes;
 
myRC = ratecurve("zero",Settle,ZeroDates,ZeroRates,'Compounding',2,'Basis',5,'InterpMethod',"pchip",'ShortExtrapMethod',"linear",'LongExtrapMethod',"pchip")

myRC = 
  ratecurve with properties:

                 Type: "zero"
          Compounding: 2
                Basis: 5
                Dates: [10×1 datetime]
                Rates: [10×1 double]
               Settle: 15-Sep-2018
         InterpMethod: "pchip"
    ShortExtrapMethod: "linear"
     LongExtrapMethod: "pchip"

Version History

Introduced in R2020a

R2022b: Serial date numbers not recommended

Although ratecurve 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.