DAX

Dax Function: TBILLEQ

Q: How does TBILLEQ handle incorrect date inputs?

The function assumes valid dates; if maturity precedes settlement, it may return an error or incorrect results.

Q: Is the TBILLEQ function suitable for long-term bonds?

No, it is optimized for short-term Treasury bills. Use YIELD or similar functions for long-term bonds.

Category: Financial Functions

The TBILLEQ function in Power BI calculates the bond-equivalent yield for a Treasury bill based on its discount rate. This function is typically used in financial modeling and analysis to convert a T-bill’s discount rate into an equivalent yield on a 365-day basis, making it comparable to other investment yields.

Purpose

To evaluate the annualized yield of short-term Treasury bills.
Provides a standardized method to compare Treasury bills with other fixed-income securities.

Type of Calculations

Computes the bond-equivalent yield using a formula that adjusts for the Treasury bill’s price, face value, and maturity.
Converts the discount rate into an annualized return based on a 365-day year.

Practical Use Cases

Investment Analysis: Compare Treasury bill yields with bonds or other securities.
Portfolio Optimization: Assess T-bill investments for portfolio diversification.
Financial Reporting: Standardize yield reporting for fixed-income securities.


TBILLEQ(settlement, maturity, discount)

Parameter	Type	Description
`settlement`	Scalar	The settlement date of the Treasury bill (the date it is purchased by the investor).
`maturity`	Scalar	The maturity date of the Treasury bill (the date it expires and the investor receives the face value).
`discount`	Scalar	The discount rate of the Treasury bill, expressed as a decimal (e.g., 0.02 for 2%).

How Does TBILLEQ Dax Works

Mathematical Principle

The TBILLEQ function computes the bond-equivalent yield using the formula:

Where:

Discount: The Treasury bill’s discount rate.
DS: The number of days between the settlement date and the maturity date.

Key Points

Converts the 360-day year typically used in T-bill calculations to a 365-day year for comparability.
Adjusts for the time to maturity to annualize the yield.

What Does It Return?

Scalar Value: The bond-equivalent yield of the Treasury bill, expressed as a decimal (e.g., 0.025 for 2.5%).

When Should We Use It?

Treasury Bill Valuation: To determine the equivalent yield of T-bills for comparison with other investments.
Fixed-Income Analysis: Standardize yields for reporting and analysis.
Risk Assessment: Evaluate short-term government securities for low-risk investments.

Examples

Basic Usage :

A Treasury bill has a settlement date of January 1, 2025, a maturity date of March 31, 2025, and a discount rate of 3%. Calculate the bond-equivalent yield:


TBILLEQ(DATE(2025, 1, 1), DATE(2025, 3, 31), 0.03)

Result: 0.03075 (or 3.075%)

Column Usage

For a table of Treasury bills:

T-Bill ID	Settlement	Maturity	Discount
1	01/01/2025	03/31/2025	0.03
2	02/15/2025	05/15/2025	0.04

Add a calculated column for bond-equivalent yield:


BondEquivalentYield = TBILLEQ(TBills[Settlement], TBills[Maturity], TBills[Discount])

Result: Computes the bond-equivalent yield for each T-bill.

Advanced Usage

Combine TBILLEQ with filtering to analyze high-yield T-bills:


HighYieldTBill =
CALCULATE(
MAX(TBILLEQ(TBills[Settlement], TBills[Maturity], TBills[Discount])),
FILTER(TBills, TBILLEQ(TBills[Settlement], TBills[Maturity], TBills[Discount]) &gt; 0.03)
)

Result: Identifies the T-bill with the highest equivalent yield above 3%.

Tips and Tricks

Use consistent date formats for settlement and maturity to avoid calculation errors.
Ensure the discount rate is expressed as a decimal (e.g., 0.03 for 3%).
The function assumes valid settlement and maturity dates. Ensure maturity is later than settlement.
A negative or excessively high discount rate can lead to unexpected results.

Performance Impact of TBILLEQ DAX Function:

Suitable for individual or batch calculations for small datasets.
For large datasets, precompute yields in a calculated column to enhance performance.

Related Functions You Might Need

Function	Description
`YIELD`	Calculates the yield of a security with periodic interest payments.
`PRICE`	Calculates the price of a security.
`DISC`	Calculates the discount rate for a security.
`MDURATION`	Calculates the modified duration of a bond.

Want to Learn More?
For more information, check out the official Microsoft documentation for TBILLEQ You can also experiment with this function in your Power BI reports to explore its capabilities.

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1. What does the TBILLEQ function calculate?

The TBILLEQ function calculates the bond-equivalent yield for a Treasury bill based on its discount rate, settlement, and maturity dates.

2. Can I use TBILLEQ for non-Treasury securities?

No, the TBILLEQ function is specifically designed for Treasury bills and their unique pricing and yield structure.

3. How does TBILLEQ handle incorrect date inputs?

The function assumes valid dates; if maturity precedes settlement, it may return an error or incorrect results.

4. Is the TBILLEQ function suitable for long-term bonds?

No, it is optimized for short-term Treasury bills. Use YIELD or similar functions for long-term bonds.

5. Can TBILLEQ handle fractional discount rates?

Yes, the function accepts decimal values for the discount rate, such as 0.025 for 2.5%.

Dax Function: SYD

Dax Function: TBILLPRICE