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getForwardRates

Get forward rates for input dates for IRFunctionCurve

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Syntax

F = getForwardRates(CurveObj,InpDates)
F = getForwardRates(___,Name,Value)

Description

F = getForwardRates(CurveObj,InpDates) computes discount factors for input dates for an IRFunctionCurve object. getForwardRates returns discrete forward rates for the intervals input into this function. For example, running the following code:

getForwardRates(irdc, {Date1, Date2, Date3})
gives three forwards rates and the three tenors are: [Settle, Date1], [Date1, Date2], and [Date2, Date3].

Note

The parametercurve object and the associated forwardrates 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.

example

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

example

Examples

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Open Live Script

This example shows how to get forward rates for input dates for an IRFunctionCurve.

irfc = IRFunctionCurve('Forward',today,@(t) polyval([-0.0001 0.003 0.02],t));
getForwardRates(irfc, today+30:30:today+720)
ans = 24×1

    0.0202
    0.0205
    0.0207
    0.0210
    0.0212
    0.0215
    0.0217
    0.0219
    0.0222
    0.0224
      ⋮
Open Live Script

This example shows how to compute the implied 2-year forward rates in 1 year, 2 years, 5 years, and 10 years from the Settle date by using the getForwardRates method.

Use the following data for an IRFunctionCurve object that is created when using the fitSvensson method. 

Settle = datenum('15-Apr-2014');
Maturity = datemnth(Settle,12*[1 2 3 5 7 10 20 30]');

CleanPrice = [100.1 100.1 100.2 99.0 101.8 99.2 101.7 100.2]';
CouponRate = [0.0200 0.0275 0.035 0.042 0.0475 0.0525 0.055 0.052]';
Instruments = [repmat(Settle,size(Maturity)) Maturity CleanPrice CouponRate];

SvenssonModel = IRFunctionCurve.fitSvensson('Zero',Settle,Instruments);

Compute the implied 2-year forward rates in 1 year, 2 years, 5 years, and 10 years from the Settle date. 

IntervalMonth = 12.*2;         % Interval months for 2-year forward rates
FwdMonths = 12.*[1 2 5 10]';   % Starting in 1, 2, 5, and 10 years from Settle
N = length(FwdMonths);
FwdRates_2Y = zeros(N,1);

for k = 1:N
    FwdDates = datemnth(SvenssonModel.Settle, [FwdMonths(k) FwdMonths(k)+IntervalMonth]);
    f = getForwardRates(SvenssonModel,FwdDates);
    FwdRates_2Y(k) = f(2);
end

[FwdMonths FwdRates_2Y]
ans = 4×2

   12.0000    0.0418
   24.0000    0.0504
   60.0000    0.0620
  120.0000    0.0629

Input Arguments

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Interest-rate curve object, specified by using IRFunctionCurve.

Data Types: object

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 IRFunctionCurve.

To support existing code, getForwardRates 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 = getForwardRates(irfc, CurveSettle+30:30:CurveSettle+720)

Compounding frequency per-year for forward 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

Day count basis for the forward 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

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Forward rates, returned as a vector. getForwardRates returns forward rates corresponding to the periodicity of the dates input to getForwardRates. For example, where the dates are monthly, monthly forward rates are returned. The first element of the output is the forward rate from the Settle to one month, the second element is the forward rate from one month to two months, and so on.

Version History

Introduced in R2008b

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See Also

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