fixedbyzero - Price fixed-rate note from set of zero curves

Syntax

Description

[Price, PriceNoAI, CFlowAmounts, CFlowDates] = fixedbyzero(RateSpec, CouponRate, Settle, Maturity) computes the price of a fixed-rate note from a set of zero curves. All inputs are either scalars or NINST-by-1 vectors unless otherwise specified. Any date may be a serial date number or date string. An optional argument may be passed as an empty matrix [].

[Price, PriceNoAI, CFlowAmounts, CFlowDates] = fixedbyzero(RateSpec, CouponRate, Settle, Maturity, Reset, Basis, Principal, EndMonthRule) computes the price of a fixed-rate note from a set of zero curves using optional input arguments. All inputs are either scalars or NINST-by-1vectors unless otherwise specified. Any date may be a serial date number or date string. An optional argument may be passed as an empty matrix [].

[Price PriceNoAI, CFlowAmounts, CFlowDates] = fixedbyzero(RateSpec, CouponRate, Settle, Maturity,Name, Value) computes the price of a fixed-rate note from a set of zero curves with additional options specified by one or more Name, Value pair arguments.

Input Arguments

RateSpec	Structure containing the properties of an interest-rate structure. See intenvset for information on creating RateSpec.
CouponRate	Decimal annual rate.
Settle	Settlement date. Settle must be earlier than Maturity.
Maturity	Maturity date.

Ordered Input or Name-Value Pair Arguments

Enter the following optional inputs using an ordered syntax or as name-value pair arguments. You cannot mix ordered syntax with name-value pair arguments.

Reset	NINST-by-1 vector representing the frequency of payments per year. Default: 1
Basis	Day-count basis of the instrument. A vector of integers. 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 (ISMA) 9 = actual/360 (ISMA) 10 = actual/365 (ISMA) 11 = 30/360E (ISMA) 12 = actual/365 (ISDA) 13 = BUS/252 For more information, see basis. Default: 0 (actual/actual)
Principal	The notional principal amount. Default: 100
Options	Derivatives pricing options structure created with derivset.
EndMonthRule	End-of-month rule. A NINST-by-1 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 coupon payment date is always the same numerical day of the month. 1 = Set rule on, meaning that a bond coupon payment date is always the last actual day of the month. Default: 1

Name-Value Pair Arguments

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

AdjustCashFlowsBasis	Adjust the cash flows based on the actual period day count. NINST-by-1 of logicals. Default: False
BusinessDayConvention	Require payment dates to be business dates. NINST-by-1 cell array with possible choices of business day convention: actual follow modifiedfollow previous modifiedprevious Default: actual
Holidays	Holidays used for business day convention. NHOLIDAYS-by-1 of MATLAB date numbers. Default: If no dates are specified, holidays.m is used.

Output Arguments

Price	A number of instruments (NINST) by number of curves (NUMCURVES) matrix of fixed-rate note prices. Each column arises from one of the zero curves.
PriceNoAI	A NINST-by-NUMCURVES matrix of dirty bond price (clean + accrued interest). Each column arises from one of the zero curves.
CFlowAmounts	A NINST-by-NUMCFS matrix of cash flows for each bond.
CFlowDates	A NINST-by-NUMCFS matrix of payment dates for each bond.

Examples

Price a 4% fixed-rate note using a set of zero curves. Load the file deriv.mat, which provides ZeroRateSpec, the interest-rate term structure needed to price the note.

load deriv.mat 

Set the required values. Other arguments will use defaults.

CouponRate = 0.04;
Settle = '01-Jan-2000';
Maturity = '01-Jan-2003';

Use fixedbyzero to compute the price of the note:

Price = fixedbyzero(ZeroRateSpec, CouponRate, Settle, Maturity)

Price =

  98.7159

See Also

bondbyzero | cfbyzero | floatbyzero | swapbyzero

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