T-Bill Reinvestment Calculator (Compound Returns by Rolling Over Treasury Bills)
When your T-Bill matures, instead of cashing out you buy a new one โ this is called rolling over. Each time you reinvest, your next bill earns a little more because your balance grows.
๐ก Rolling over T-Bills can significantly increase your effective return โ even if the rate stays the same โ because each cycle earns on a larger amount.
This is the face value โ the amount you get back at each maturity.
Assumed the same for all rollovers. Check latest rate โ TreasuryDirect.gov
T-Bills are exempt from state tax. Only federal tax applies.
How to Reinvest T-Bills (Step-by-Step)
- Buy a T-Bill with your initial investment
- Wait until it matures
- Use the full maturity amount to buy a new T-Bill
- Repeat the process to compound your returns
This calculator shows exactly how your balance grows with each rollover.
How T-Bill Reinvestment Works (Step-by-Step Example)
The formula per rollover:
- Earnings = Current face value × Rate ÷ 100 × Days ÷ 360
- Tax = Earnings × Federal bracket
- New face value = Current face value + Earnings − Tax
- Repeat each time the bill matures
Rollover 1 (Day 0 to Day 182):
Earnings = $10,000 × 4.5% × (182/360) = $227.50
Tax = $227.50 × 22% = $50.05 You keep = $177.45
New face value = $10,177.45
Rollover 2 (Day 182 to Day 364):
Earnings = $10,177.45 × 4.5% × (182/360) = $231.53
Tax = $231.53 × 22% = $50.94 You keep = $180.59
New face value = $10,358.04
After 1 year (2 rollovers):
Total gross earnings = $459.03 Total tax = $100.99
You keep = $358.04 Final value = $10,358.04
Effective after-tax annual return = 3.58%
Each rollover earns slightly more because you reinvest on a larger face value โ that is the compounding effect.
What is T-Bill Reinvestment (Rolling Over)?
When a T-Bill matures, instead of taking the cash, most investors immediately buy a new T-Bill โ this is called rolling over or reinvesting. Because you now have slightly more money (your original investment plus the discount earned), your next T-Bill earns a little more. Over time, this compounding effect meaningfully increases your total returns.
How the Reinvestment Calculation Works
- Rollover 1: Buy T-Bill at purchase price, receive face value at maturity
- Rollover 2: Reinvest full face value as the new face value
- Each rollover: Earnings = Face Value ร (Rate / 100) ร (Days / 360)
- Compounding: Each rollover's face value = previous face value + earnings
Why Rolling Over T-Bills Makes Sense
A single 6-month T-Bill at 5% earns a certain amount. But if you roll it over twice in a year, the second T-Bill earns interest on a slightly larger amount โ giving you a higher effective annual yield than the stated discount rate. This is the power of compounding with T-Bills.
T-Bill Ladder vs Simple Rollover
A simple rollover puts all your money in one T-Bill at a time. A T-Bill ladder splits your money across multiple T-Bills of different durations so that one always matures every few weeks, giving you regular access to cash. Use our Ladder Strategy Calculator for that approach.
Related Calculators
Learn more: What Are Treasury Bills — Complete Guide · Best T-Bill Duration Guide · Are T-Bills Worth It?
Frequently Asked Questions (FAQ)
What does rolling over a T-Bill mean?
Rolling over a T-Bill means reinvesting it at maturity into a new T-Bill instead of taking the cash. This allows your investment to continue earning returns without interruption.
How does compounding work with T-Bills?
T-Bills compound returns when you reinvest them after each maturity. Each new T-Bill is purchased with a larger amount, so it earns slightly more over time, creating a compounding effect.
Is it better to roll over short-term or long-term T-Bills?
Short-term T-Bills are better in rising rate environments, while long-term T-Bills are better when rates are falling. The choice depends on whether you want flexibility or to lock in current rates.
How much more do I earn by reinvesting vs cashing out?
Reinvesting T-Bills usually earns more than cashing out because of compounding. Over time, each rollover increases your earnings, leading to higher total returns.