TBILLEQ function

PRO BASIC

The TBILLEQ function in Jspreadsheet Formulas Pro is a tool used to determine the bond-equivalent yield for a Treasury bill. This is based on the bill's discount from its face value. Essentially, it allows you to understand the return or 'yield' you would get from a Treasury bill if you were to hold it until its maturity date. This function is especially useful for financial analysis and investment decision-making.

Documentation

Calculates the bond-equivalent yield for a Treasury bill based on a discount from face value.

Syntax

TBILLEQ(settlement, maturity, discount)

Parameter	Description
`settlement`	The Treasury bill's settlement date.
`maturity`	The Treasury bill's maturity date.
`discount`	The discount rate expressed as a decimal fraction (e.g., 0.015 for a 1.5% discount).

Behavior

The TBILLEQ function calculates the equivalent annual yield for a Treasury bill. It expects three inputs: settlement (the settlement date of the Treasury bill), maturity (the maturity date of the Treasury bill), and discount (the discount rate of the Treasury bill).

The settlement and maturity dates should be valid dates and can be entered as text that can be interpreted as dates, or as serial numbers representing dates.
The discount should be a numerical value representing the discount rate of the Treasury bill.
If any of the inputs are left empty or contain text that cannot be interpreted as a date or a number, the function will return a #VALUE! error.
If the settlement date is greater than or equal to the maturity date, the function will return a #NUM! error.
The function does not handle boolean values. If a boolean value is used as an input, it will be interpreted as 0 or 1.
The function propagates any errors present in the input cells.

Common Errors

Error	Description
`#VALUE!`	This error is returned if any of the input parameters are left empty or contain text that cannot be interpreted as a date or a number.
`#NUM!`	This error is returned if the settlement date is greater than or equal to the maturity date, or if the discount rate is negative.

Best practices

Always ensure that the settlement date is less than the maturity date to avoid a #NUM! error.

Use valid dates for the settlement and maturity parameters. If entered as text, make sure the dates are in a format that can be correctly interpreted by your spreadsheet program.

Ensure that the discount rate is greater than or equal to 0 to avoid a #NUM! error.

Double check the spelling of the function name to avoid a #NAME? error.

Usage

A few examples using the TBILLEQ function.

TBILLEQ('2022-01-01', '2022-06-30', 0.015)   → 0.015323258
TBILLEQ('2022-03-01', '2022-09-01', 0.025)   → 0.025672609
TBILLEQ('2022-01-01', '2022-12-31', 0.05)    → 0.052701347

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Settlement",
        "Maturity",
        "Discount",
        "Bond Equivalent Yield"
    ],
    [
        "2024-01-15",
        "2024-07-15",
        "0.045",
        "=TBILLEQ(A2,B2,C2)"
    ],
    [
        "2024-02-01",
        "2024-05-01",
        "0.038",
        "=TBILLEQ(A3,B3,C3)"
    ],
    [
        "2024-03-10",
        "2024-09-10",
        "0.052",
        "=TBILLEQ(A4,B4,C4)"
    ]
]
  }]
});
</script>
</html>

import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Settlement",
        "Maturity",
        "Discount",
        "Bond Equivalent Yield"
    ],
    [
        "2024-01-15",
        "2024-07-15",
        "0.045",
        "=TBILLEQ(A2,B2,C2)"
    ],
    [
        "2024-02-01",
        "2024-05-01",
        "0.038",
        "=TBILLEQ(A3,B3,C3)"
    ],
    [
        "2024-03-10",
        "2024-09-10",
        "0.052",
        "=TBILLEQ(A4,B4,C4)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}

<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Settlement",
        "Maturity",
        "Discount",
        "Bond Equivalent Yield"
    ],
    [
        "2024-01-15",
        "2024-07-15",
        "0.045",
        "=TBILLEQ(A2,B2,C2)"
    ],
    [
        "2024-02-01",
        "2024-05-01",
        "0.038",
        "=TBILLEQ(A3,B3,C3)"
    ],
    [
        "2024-03-10",
        "2024-09-10",
        "0.052",
        "=TBILLEQ(A4,B4,C4)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Settlement",
        "Maturity",
        "Discount",
        "Bond Equivalent Yield"
    ],
    [
        "2024-01-15",
        "2024-07-15",
        "0.045",
        "=TBILLEQ(A2,B2,C2)"
    ],
    [
        "2024-02-01",
        "2024-05-01",
        "0.038",
        "=TBILLEQ(A3,B3,C3)"
    ],
    [
        "2024-03-10",
        "2024-09-10",
        "0.052",
        "=TBILLEQ(A4,B4,C4)"
    ]
]
            }]
        });
    }
}

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