bndfutimprepo

Implied repo rates for bond future given price

Syntax

ImpRepo = bndfutimprep(Price,FutSettle,FutPrice,Delivery,ConvFactor,CouponRate,Maturity)

ImpRepo = bndfutimprep(___,Name,Value)

Description

ImpRepo = bndfutimprep(Price,FutSettle,FutPrice,Delivery,ConvFactor,CouponRate,Maturity) computes the implied repo rate for a bond future given the price of a bond, the bond properties, the price of the bond future, and 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 inputs.

ImpRepo = bndfutimprep(___,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 Repo Rate For a Bond Future

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

bndfutimprepo(129,98,'9/21/2000','12/29/2000',1.3136,.0875,'8/15/2020')

ans = 0.0584

Input Arguments

Price — Bond prices

vector

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

Data Types: double

FutPrice — Future prices

vector

Future prices, specified as an numBonds-by-1 vector.

Data Types: double | cell

FutSettle — Future settlement dates

vector

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

Data Types: double | cell

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 Pair Arguments

Specify optional comma-separated pairs of Name,Value arguments. Name is the argument name and Value is the corresponding value. Name must appear inside quotes. You can specify several name and value pair arguments in any order as Name1,Value1,...,NameN,ValueN.

Example: ImpRepo = bndfutimprepo(Price,FutPrice,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

'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

'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

'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

ImpRepo — Implied repo rate

vector

Implied repo rate, or the repo rate that would produce the price input, 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.