Evaluates the yield of a Treasury bill.
Synopsis
#include <imsl.h>
float imsl_f_treasury_bill_yield (struct tm settlement, struct tm maturity, float price)
The type double function is imsl_d_treasury_bill_yield.
Required Arguments
struct tm settlement
(Input)
The date on which payment is made to settle a trade. For a more
detailed discussion on dates see the “Usage Notes” section of this
chapter.
struct tm maturity
(Input)
The date on which the bond comes due, and principal and accrued
interest are paid. For a more detailed discussion on dates see the “Usage Notes”
section of this chapter.
float price
(Input)
Price per $100 face value of the Treasury bill.
Return Value
The yield for a Treasury bill. If no result can be computed, NaN is returned.
Description
Function imsl_f_treasury_bill_yield computes the yield for a Treasury bill.
It is computed using the following:
In the equation above, DSM represents the number of days in the period starting with the settlement date and ending with the maturity date (any maturity date that is more than one calendar year after the settlement date is excluded).
Example
In this example, imsl_f_treasury_bill_yield computes the yield for a Treasury bill with the settlement date of July 1, 2000, the maturity date of July 1, 2001, and priced at $94.93.
#include <stdio.h>
#include <imsl.h>
int main()
{
struct tm settlement, maturity;
float price = 94.93;
float yield;
settlement.tm_year = 100;
settlement.tm_mon = 6;
settlement.tm_mday = 1;
maturity.tm_year = 101;
maturity.tm_mon = 6;
maturity.tm_mday = 1;
yield = imsl_f_treasury_bill_yield (settlement, maturity, price);
printf ("The yield for the T-bill is %.2f%%.\n", yield * 100.);
}
Output
The yield for the T-bill is 5.27%.
