getZeroRates

Get zero rates for input dates for IRDataCurve

Syntax

F = getZeroRates(CurveObj,InpDates)

F = getZeroRates(___,Name,Value)

Description

F = getZeroRates(CurveObj,InpDates) computes zero rates for input dates for an IRDataCurve object.

Note

The ratecurve object and the associated zerorates were introduced in R2020a as part of a new object-based framework in the Financial Instruments Toolbox™ which supports end-to-end workflows in instrument modeling and analysis. For more information, see Get Started with Workflows Using Object-Based Framework for Pricing Financial Instruments.

F = getZeroRates(___,Name,Value) adds optional name-value pair arguments.

Examples

Get Zero Rates For Input Dates For an IRDataCurve

This example shows how to get zero rates for input dates for an IRDataCurve.

CurveSettle = datetime(2016,3,2);
Data = [2.09 2.47 2.71 3.12 3.43 3.85 4.57 4.58]/100;
Dates = datemnth(CurveSettle,12*[1 2 3 5 7 10 20 30]);
irdc = IRDataCurve('Zero',CurveSettle,Dates,Data);
getZeroRates(irdc, CurveSettle+30:30:CurveSettle+720)

ans = 24×1

    0.0174
    0.0177
    0.0180
    0.0183
    0.0187
    0.0190
    0.0193
    0.0196
    0.0199
    0.0202
    0.0205
    0.0208
    0.0212
    0.0215
    0.0218
      ⋮

Input Arguments

CurveObj — Interest-rate curve object

object

Interest-rate curve object, specified by using IRDataCurve.

Data Types: object

InpDates — Input dates

datetime array | string array | date character vector

Input dates, specified as an NINST-by-1 vector using a datetime array, string array, or date character vectors. The input dates must be after the Settle date of IRDataCurve.

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

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: F = getZeroRates(irdc, CurveSettle+30:30:CurveSettle+720)

Compounding — Compounding frequency per-year for zero rates

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

Compounding frequency per-year for zero rates, specified as the comma-separated pair consisting of 'Compounding' and a scalar numeric using one of the supported values:

• −1 = Continuous compounding

• 0 = Simple interest (no compounding)

• 1 = Annual compounding

• 2 = Semiannual compounding

• 3 = Compounding three times per year

• 4 = Quarterly compounding

• 6 = Bimonthly compounding

• 12 = Monthly compounding

Data Types: double

Basis — Day count basis for the zero rates

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

Day count basis for the zero rates, 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

Output Arguments

F — Zero rates

vector

Zero rates, returned as a vector.

More About

Zero Rates

Zero rates refer to the interest rates associated with zero-coupon bonds or zero-coupon securities.

A zero rate is the yield on a zero-coupon bond, which is the rate of return an investor earns by holding the bond until maturity.

Version History

Introduced in R2008b

R2022b: Serial date numbers not recommended

Although getZeroRates 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.