Home Back

Treasury Bill Price Calculator

Treasury Bill Price Formula:

\[ Price = \frac{Face\ Value}{1 + (Yield \times \frac{Days}{360})} \]

currency
decimal
days

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Treasury Bill Price Calculation?

Treasury Bill Price Calculation determines the discount price of a T-bill based on its face value, yield, and days to maturity. Treasury bills are short-term government securities sold at a discount to face value.

2. How Does the Calculator Work?

The calculator uses the Treasury Bill pricing formula:

\[ Price = \frac{Face\ Value}{1 + (Yield \times \frac{Days}{360})} \]

Where:

Explanation: The formula calculates the present value of the T-bill by discounting the face value at the given yield over the specified period using a 360-day year convention.

3. Importance of Treasury Bill Pricing

Details: Accurate T-bill pricing is essential for investors, financial institutions, and government agencies to determine fair market value, calculate returns, and make informed investment decisions in the money market.

4. Using the Calculator

Tips: Enter face value in currency units, yield as a decimal (e.g., 0.05 for 5%), and days to maturity. All values must be positive and within reasonable ranges.

5. Frequently Asked Questions (FAQ)

Q1: Why use 360 days instead of 365?
A: The 360-day year is a money market convention that simplifies interest calculations for short-term instruments like Treasury bills.

Q2: What is the difference between price and yield?
A: Price is what you pay for the T-bill, while yield is the annualized return you earn. They have an inverse relationship.

Q3: Can this calculator be used for other money market instruments?
A: While the formula is specific to T-bills, similar discount pricing principles apply to other short-term debt instruments, though day count conventions may vary.

Q4: How does maturity affect T-bill price?
A: Longer maturities generally result in lower prices (higher discounts) for the same yield, as the discount is applied over a longer period.

Q5: What are typical T-bill denominations?
A: Treasury bills are typically issued in denominations of $1,000, $5,000, $10,000, $25,000, $50,000, $100,000, and $1 million.

Treasury Bill Price Calculator© - All Rights Reserved 2025