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| Documentation → Financial Derivatives Toolbox |
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Price = bondbyzero(RateSpec, CouponRate,
Settle, Maturity,
Period, Basis, EndMonthRule,
IssueDate, FirstCouponDate,
LastCouponDate, StartDate,
Face)
RateSpec | Structure containing the properties of an interest-rate structure. See intenvset for information on creating RateSpec. |
CouponRate | Decimal annual rate. |
Settle | Settlement date. A vector of serial date numbers or date strings. Settle must be earlier than Maturity. |
Maturity | Maturity date. A vector of serial date numbers or date strings. |
Period | (Optional) Coupons per year of the bond. A vector of integers. Allowed values are 1, 2, 3, 4, 6, and 12. Default = 2. |
Basis | (Optional) Day-count basis of the instrument. A vector of integers.
|
EndMonthRule | (Optional) End-of-month rule. A vector. This rule applies only when Maturity is an end-of-month date for a month having 30 or fewer days. 0 = ignore rule, meaning that a bond's coupon payment date is always the same numerical day of the month. 1 = set rule on (default), meaning that a bond's coupon payment date is always the last actual day of the month. |
(Optional) Date when a bond was issued. | |
FirstCouponDate | (Optional) Date when a bond makes its first coupon payment. When FirstCouponDate and LastCouponDate are both specified, FirstCouponDate takes precedence in determining the coupon payment structure. |
LastCouponDate | (Optional) Last coupon date of a bond before the maturity date. 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. |
StartDate | (Optional) Date when a bond actually starts (the date from which a bond cash flow is considered). To make an instrument forward-starting, specify this date as a future date. If you do not specify StartDate, the effective start date is the Settle date. |
Face | (Optional) Face value. Default = 100. |
All inputs are either scalars or number of instruments (NINST)-by-1 vectors unless otherwise specified. Dates can be serial date numbers or date strings. Optional arguments can be passed as empty matrix [].
Price = bondbyzero(RateSpec, CouponRate, Settle, Maturity, Period, Basis, EndMonthRule, IssueDate, FirstCouponDate, LastCouponDate, StartDate, Face) returns a NINST-by-NUMCURVES matrix of clean bond prices. Each column arises from one of the zero curves.
Price a 4% bond using a set of zero curves.
Load the file deriv.mat, which provides ZeroRateSpec, the interest-rate term structure needed to price the bond.
load deriv.mat;
Set the required values. Other arguments will use defaults.
CouponRate = 0.04; Settle = '01-Jan-2000'; Maturity = '01-Jan-2004';
Use bondbyzero to compute the price of the bond.
Price = bondbyzero(ZeroRateSpec, CouponRate, Settle, Maturity) Price = 97.5334
cfbyzero, fixedbyzero, floatbyzero, swapbyzero
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