cdprice - Price of certificate of deposit (CD)

Syntax

[Price, AccrInt] = cdprice(Yield, CouponRate, Settle, Maturity, 
IssueDate, Basis)

Arguments

Yield

Simple yield to maturity over the basis denominator.

CouponRate

Coupon interest rate in decimal.

Settle

Settlement date. Settle must be earlier than or equal to Maturity.

Maturity

Maturity date.

IssueDate

Issue date.

Basis

(Optional) Day-count basis of the instrument.

  • 0 = actual/actual (default)

  • 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 (ISMA)

  • 9 = actual/360 (ISMA)

  • 10 = actual/365 (ISMA)

  • 11 = 30/360E (ISMA)

  • 12 = actual/365 (ISDA)

Each required input must be some certificates of deposit (NCDS)-by-1 or 1-by-NCDS conforming vector or scalar. The optional Basis argument may be either a NCDS-by-1 or a 1-by-NCDS vector, a scalar, or the empty matrix ([]).

Description

[Price, AccrInt] = cdprice(Yield, CouponRate, Settle, Maturity, IssueDate, Basis) computes the price of a certificate of deposit given its yield.

Price is the clean price of the CD per $100 of face value.

AccruedInt is the accrued interest payable at settlement per unit of face value.

This function assumes that the certificates of deposit pay interest at maturity. Because of the simple interest treatment of these securities, the function is best used for short-term maturities (less than 1 year). The default simple interest calculation is the actual/360 convention.

Examples

Given a certificate of deposit (CD) with these characteristics, compute the price of the CD and the accrued interest due on the settlement date.

Yield           =  0.0525;
CouponRate      =  0.05;
Settle          =  '02-Jan-02';
Maturity        =  '31-Mar-02';
IssueDate       =  '1-Oct-01';

[Price, AccruedInt] = cdprice(Yield, CouponRate, Settle, ... 
Maturity, IssueDate)

Price =

    99.9233

AccruedInt =

    1.2917

See Also

bndprice, cdai, cdyield, stepcpnprice, tbillprice

  


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