bndfutprice

Price bond future given repo rates

Syntax

[FutPrice,AccrInt] = bndfutprice(RepoRatePrice,FutSettle,Delivery,ConvFactor,CouponRate,Maturity)

[FutPrice,AccrInt] = bndfutprice(___,Name,Value)

Description

[FutPrice,AccrInt] = bndfutprice(RepoRatePrice,FutSettle,Delivery,ConvFactor,CouponRate,Maturity) computes the price of a bond futures contract for one or more bonds given a repo rate, and bond properties, including the bond conversion factor. The default behavior is that the coupon reinvestment rate matches the repo rate. However, you can specify a separate reinvestment rate using optional arguments.

[FutPrice,AccrInt] = bndfutprice(___,Name,Value) specifies options using one or more optional name-value pair arguments in addition to the input arguments in the previous syntax.

Examples

Compute the Price For a Bond Future

This example shows how to compute the price for a bond future using the following data.

bndfutprice(.064, 129, '9/21/2000','12/29/2000', 1.3136, .0875, '8/15/2020')

ans = 98.1516

Input Arguments

RepoRate — Repo rates

vector

Repo rates, specified as an numBonds-by-1 vector in decimals.

Data Types: double

Price — Bond prices

vector

Bond prices, specified as an numBonds-by-1 vector in decimals.

Data Types: double

FutSettle — Future settlement date

scalar

Future settlement date, specified as scalar date using a serial date number or a date character vector.

Data Types: double | char

Delivery — Future delivery dates

vector

Future delivery dates, specified as an numBonds-by-1 vector.

Data Types: double | cell

ConvFactor — Bond conversion factors

vector

Bond conversion factors, specified as an numBonds-by-1 vector. For more information, see convfactor.

Data Types: double

CouponRate — Coupon rates

vector

Coupon rates, specified as an numBonds-by-1 vector of numeric decimals.

Data Types: double

Maturity — Maturity dates

vector

Maturity dates, specified as an numBonds-by-1 vector of serial date numbers or a cell array of character vectors.

Data Types: double | cell

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: [FutPrice,AccrInt] = bndfutprice(RepoRate,Price,FutSettle,Delivery,ConvFactor,CouponRate,Maturity,'Basis',5,'Face',1000,'Period',4)

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 from 0 to 13.

• 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

EndMonthRule — End-of-month rule flag for generating floorlet dates

1 (in effect) (default) | scalar of nonnegative integer [0,1]

End-of-month rule flag, specified as the comma-separated pair consisting of 'EndMonthRule' and a scalar with a nonnegative integer [0, 1].

• 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.

Data Types: logical

IssueDate — Bond issue date

if you do not specify an IssueDate, the cash flow payment dates are determined from other inputs (default) | serial date number | date character vector

Bond issue date, specified as the comma-separated pair consisting of 'IssueDate' and a scalar date using a serial date number or a date character vector.

Data Types: double | char

Face — Face value of the bond

100 (default) | scalar numeric

Face value of the bond, specified as the comma-separated pair consisting of 'Face' and a scalar numeric. Face has no impact on key rate duration.

Data Types: double

FirstCouponDate — Irregular first coupon date

if you do not specify a FirstCouponDate, the cash flow payment dates are determined from other inputs (default) | serial date number | date character vector

Irregular first coupon date, specified as the comma-separated pair consisting of 'FirstCouponDate' and a scalar date using a serial date number or a date character vector.

When FirstCouponDate and LastCouponDate are both specified, FirstCouponDate takes precedence in determining the coupon payment structure.

Data Types: double | char

LastCouponDate — Irregular last coupon date

serial date number | date character vector

Irregular last coupon date, specified as the comma-separated pair consisting of 'LastCouponDate' and a scalar date using a serial date number or a date character vector.

In the absence of a specified FirstCouponDate, a specified LastCouponDate determines the coupon structure of the bond. The coupon structure of a bond is truncated at the LastCouponDate, regardless of where it falls, and is followed only by the bond's maturity cash flow date.

Data Types: double | char

Period — Coupons per year

2 per year (default) | vector

Coupons per year, specified as the comma-separated pair consisting of 'Period' and a scalar integer. Values for Period are 0, 1, 2, 3, 4, 6, and 12.

Data Types: double

ReinvestBasis — Day count basis for reinvestment rate

identical to RepoBasis (default) | integer from 0 to 13

Day count basis for the reinvestment rate, specified as the comma-separated pair consisting of 'ReinvestBasis' and a scalar integer from 0 to 13.

• 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

ReinvestRate — Underlying bond annual coupon

scalar decimal numeric

Underlying bond annual coupon, specified as the comma-separated pair consisting of 'ReinvestRate' and a scalar decimal numeric.

Data Types: double

RepoBasis — Day count basis for repo rate

2 (actual/360) (default) | integer from 0 to 13

Day count basis for repo rate, specified as the comma-separated pair consisting of 'RepoBasis' and a scalar integer from 0 to 13.

• 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

StartDate — Forward starting date of payments

Settle date (default) | serial date number | date character vector

Forward starting date of payments (the date from which a bond cash flow is considered), specified as the comma-separated pair consisting of 'StartDate' and a scalar date using a serial date number or a date character vector.

Data Types: double

Output Arguments

FutPrice — Quoted futures price, per $100 notional

vector

Quoted futures price, per $100 notional, returned as numBonds-by-1 vector.

AccrInt — Accrued interest due at delivery date, per $100 notional

vector

Accrued interest due at delivery date, per $100 notional, returned as numBonds-by-1 vector.

References

[1] Burghardt, G., T. Belton, M. Lane, and J. Papa. The Treasury Bond Basis. McGraw-Hill, 2005.

[2] Krgin, Dragomir. Handbook of Global Fixed Income Calculations. John Wiley & Sons, 2002.

Version History

Introduced in R2009b