TBILLEQ

Returns the bond-equivalent yield for a Treasury bill.

Syntax

TBILLEQ(<settlement>, <maturity>, <discount>)

Parameters

Term Definition
settlement The Treasury bill's settlement date. The security settlement date is the date after the issue date when the Treasury bill is traded to the buyer.
maturity The Treasury bill's maturity date. The maturity date is the date when the Treasury bill expires.
discount The Treasury bill's discount rate.

Return Value

The Treasury Bill's bond-equivalent yield.

Remarks

  • Dates are stored as sequential serial numbers so they can be used in calculations. In DAX, December 30, 1899 is day 0, and January 1, 2008 is 39448 because it is 39,448 days after December 30, 1899.

  • TBILLEQ is calculated as:

    $$\text{TBILLEQ} = \frac{365 \times \text{discount}}{360 - (\text{discount} \times \text{DSM})}$$

    where:

    • $\text{DSM}$ is the number of days between settlement and maturity computed according to the 360 days per year basis.
  • settlement and maturity are truncated to integers.

  • An error is returned if:

    • settlement or maturity is not a valid date.
    • settlement ≥ maturity or maturity is more than one year after settlement.
    • discount ≤ 0.
  • This function is not supported for use in DirectQuery mode when used in calculated columns or row-level security (RLS) rules.

Example

Data Description
3/31/2008 Settlement date
6/1/2008 Maturity date
9.14% Percent discount rate

The following DAX query:

EVALUATE
{
  TBILLEQ(DATE(2008,3,31), DATE(2008,6,1), 0.0914)
}

Returns the bond-equivalent yield for a Treasury bill using the terms specified above.

[Value]
0.094151493565943