# tfutyieldbyrepo

Calculates Treasury bond futures yield given the implied repo rates

## Description

example

FwdYield = tfutyieldbyrepo(RepoData,ReinvestData,Yield,Settle,MatFut,ConvFactor,CouponRate,Maturity) computes the theoretical futures bond yield given the settlement yield, the repo/funding rate, and the reinvestment rate.

## Examples

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This example shows how to compute the quoted futures bond yield, given the following data.

RepoData     = [0.020  2];
ReinvestData = [0.018  3];
Yield        = [0.0215; 0.0257];
Settle       = datetime(2002,11,15);
MatFut       = [datetime(2002,12,15) ; datetime(2003,3,15)];
ConvFactor   = [1; 0.9854];
CouponRate   = [0.06; 0.0575];
Maturity     = [datetime(2009,8,15) ; datetime(2010,8,15)];

FwdYield = tfutyieldbyrepo(RepoData, ReinvestData, Yield,...
Settle, MatFut, ConvFactor, CouponRate, Maturity)
FwdYield = 2×1

0.0221
0.0282

## Input Arguments

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Simple term repo/funding rates, specified as a number of futures NFUT-by-2 matrix of rates in decimal and their bases in the form of [RepoRate RepoBasis].

Specify RepoBasis as 2 = actual/360 or 3 = actual/365.

Data Types: double

Reinvestment of intervening coupons, specified as a number of futures NFUT-by-2 matrix of rates and bases in the form of [ReinvestRate ReinvestBasis].

ReinvestRate is the simple reinvestment rate, in decimal. Specify ReinvestBasis as 0 = not reinvested, 2 = actual/360, or 3 = actual/365.

Data Types: double

Yield to maturity of Treasury bonds per \$100 notional at Settle, specified as a scalar numeric or an NINST-by-1 vector.

Data Types: double

Settlement/valuation date of futures contract, specified as a scalar or an NINST-by-1 vector using a datetime array, string array, or date character vectors.

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

Maturity dates (or anticipated delivery dates) of futures contract, specified as a scalar or an NINST-by-1 vector using a datetime array, string array, or date character vectors.

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

Conversion factor, specified using convfactor.

Data Types: double | char | cell

Underlying bond annual coupon, specified as a scalar numeric decimal or an NINST-by-1 vector of decimals.

Data Types: double

Underlying bond maturity date, specified as a scalar or an NINST-by-1 vector using a datetime array, string array, or date character vectors.

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

## Output Arguments

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Forward yield to maturity, in decimals, compounded semiannually, returned as a NINST-by-1 vector.

## Version History

Introduced before R2006a

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