Bond.Price Method

BondPrice Method

Returns the price, per $100 face value, of a security that pays periodic interest.

Namespace: Imsl.Finance
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

public static double Price(
	DateTime settlement,
	DateTime maturity,
	double rate,
	double yield,
	double redemption,
	BondFrequency frequency,
	DayCountBasis basis
)

Public Shared Function Price ( 
	settlement As DateTime,
	maturity As DateTime,
	rate As Double,
	yield As Double,
	redemption As Double,
	frequency As BondFrequency,
	basis As DayCountBasis
) As Double

public:
static double Price(
	DateTime settlement, 
	DateTime maturity, 
	double rate, 
	double yield, 
	double redemption, 
	BondFrequency frequency, 
	DayCountBasis^ basis
)

static member Price : 
        settlement : DateTime * 
        maturity : DateTime * 
        rate : float * 
        yield : float * 
        redemption : float * 
        frequency : BondFrequency * 
        basis : DayCountBasis -> float

Parameters

settlement: Type: SystemDateTime
The DateTime settlement date of the security.
maturity: Type: SystemDateTime
The DateTime maturity date of the security.
rate: Type: SystemDouble
A double which specifies the security's annual coupon rate.
yield: Type: SystemDouble
A double which specifies the security's annual yield.
redemption: Type: SystemDouble
A double which specifies the security's redemption value per $100 face value.
frequency: Type: Imsl.FinanceBondFrequency
A int which specifies the number of coupon payments per year (1 for annual, 2 for semiannual, 4 for quarterly).
basis: Type: Imsl.FinanceDayCountBasis
A DayCountBasis object which contains the type of day count basis to use.

Return Value

Type: Double
A double which specifies the price per $100 face value of a security that pays periodic interest.

Remarks

It is computed using the following:

${{{\it redemption} \over {\left( {1 + {{\it yield} \over {\it frequency}}} \right)^{\left( {N - 1 + {{\it DSC} \over E}} \right)} }}} + {\sum\limits_{k = 1}^N {{{100 \times {{\it rate} \over {\it frequency}}} \over {\left( {1 + {{\it yield} \over {\it frequency}}} \right)^{\left( {k - 1 + {{\it DSC} \over E}} \right)} }}} } - \left( {100 \times {{\it rate} \over {\it frequency}} \times {A \over E}} \right)$

In the above equation, ${\it DSC}$ represents the number of days in the period starting with the settlement date and ending with the next coupon date.

represents the number of days within the coupon Frequency.

represents the number of coupons payable in the timeframe from the settlement date to the redemption date.

represents the number of days in the timeframe starting with the beginning of coupon period and ending with the settlement date.

Reference

Bond Class

Imsl.Finance Namespace

Other Resources

Example