Treasury Bills Formulas:
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The Treasury Bills Calculator computes the discount and price of Treasury bills based on face value, discount rate, and days to maturity. Treasury bills are short-term government securities that don't pay periodic interest but are issued at a discount.
The calculator uses these formulas:
Where:
Explanation: The discount is calculated using the bank discount method (360-day year convention), and the price is simply the face value minus the discount.
Details: Accurate calculation of discount and price is essential for investors to determine the yield and compare different T-bill investment options.
Tips: Enter face value in USD, discount rate as a decimal (e.g., 0.05 for 5%), and days to maturity. All values must be positive numbers.
Q1: Why use 360 days instead of 365?
A: The bank discount method conventionally uses a 360-day year for simplicity in calculations.
Q2: What's the difference between discount rate and yield?
A: The discount rate is based on face value, while yield is based on the purchase price and reflects the actual return.
Q3: What are typical T-bill maturities?
A: Common maturities are 4-week, 8-week, 13-week (3-month), 26-week (6-month), and 52-week (1-year) bills.
Q4: Are T-bills risk-free?
A: T-bills are considered virtually risk-free as they're backed by the full faith and credit of the U.S. government.
Q5: How are T-bills taxed?
A: Interest (the discount) is subject to federal income tax but exempt from state and local taxes.