Poker Bankroll Calculator

Calculate the ideal bankroll requirements for your specific poker stakes, win rate, and variance to minimize your risk of ruin.

Required Buy-ins (100BB each)
0

Daily Swing Variance (1k hands)
0 BB

Confidence Level
0%

Risk of Ruin (%)	Required BB	Required Dollars	Safety Level

Formula: Bankroll (BB) = – (Standard Deviation² / (2 * Win Rate)) * ln(Risk of Ruin)

What is a Poker Bankroll Calculator?

A poker bankroll calculator is an essential tool for professional and semi-professional players to manage the inherent variance of poker. In the world of gambling, variance is the deviation from the expected outcome. Even the best players in the world experience “downswings” where they lose significantly over thousands of hands despite playing perfectly. The poker bankroll calculator helps you determine exactly how much money you need behind you to ensure that these natural statistical fluctuations don’t result in you going completely broke.

Who should use a poker bankroll calculator? Anyone who takes the game seriously, from micro-stakes grinders to high-stakes regulars. A common misconception is that a bankroll is just the money in your pocket. In reality, a true poker bankroll is a dedicated fund used exclusively for poker, separate from your living expenses. Without using a poker bankroll calculator, players often play “under-rolled,” leading to “scared money” play where they make suboptimal decisions to avoid losing their stack.

Poker Bankroll Calculator Formula and Mathematical Explanation

The mathematics behind a poker bankroll calculator is rooted in the “Risk of Ruin” (RoR) theory, which is a variation of the Random Walk theory. The most widely accepted formula for calculating the required bankroll for a cash game player is based on the win rate and standard deviation.

The core formula used by this poker bankroll calculator is:

B = – (SD² / (2 * WR)) * ln(RoR)

Variable	Meaning	Unit	Typical Range
B	Bankroll Required	Big Blinds (BB)	1,000 – 5,000 BB
SD	Standard Deviation	BB / 100 hands	60 – 140 BB
WR	Win Rate	BB / 100 hands	1 – 10 BB
RoR	Risk of Ruin	Decimal (0.01 = 1%)	0.01 – 0.10

Practical Examples (Real-World Use Cases)

Example 1: The Online Micro-Stakes Grinder

Suppose an online player plays 6-Max No Limit Hold’em at $0.10/$0.25 (25NL). They have a solid win rate of 4 BB/100 and a standard deviation of 85 BB/100. They want a safe 1% risk of ruin. Plugging these into the poker bankroll calculator:

• Win Rate: 4 BB/100
• Standard Deviation: 85 BB/100
• Risk of Ruin: 1% (0.01)
• Result: ~4,159 BB or $1,039.75.

This means the player needs roughly 41.5 buy-ins to maintain a 99% probability of never going broke at those stakes.

Example 2: The Live Professional

A live $2/$5 player has a much higher win rate of 10 BB/100 but plays in a high-variance game with an SD of 100 BB/100. They are comfortable with a 5% risk of ruin because they can easily drop down in stakes. Using the poker bankroll calculator:

• Win Rate: 10 BB/100
• Standard Deviation: 100 BB/100
• Risk of Ruin: 5% (0.05)
• Result: ~1,497 BB or $7,485.

This suggests that a live pro with a huge edge can survive with a much smaller bankroll in terms of Big Blinds (about 15 buy-ins) compared to an online player with a smaller edge.

How to Use This Poker Bankroll Calculator

To get the most accurate results from this poker bankroll calculator, follow these steps:

1. Input your Win Rate: Use your historical data from a tracking software. If you don’t have data, a conservative estimate for a winning player is 2-5 BB/100.
2. Enter Standard Deviation: For NLHE 6-max, 80-90 is common. For full ring, 60-75 is typical. For PLO, expect 120-160.
3. Select Risk of Ruin: 5% is standard for “aggressive” management, while 1% or less is “conservative” and recommended for professionals.
4. Define Stakes: Input the Big Blind amount to see your bankroll requirement in your local currency.
5. Analyze the Table: Look at the dynamic table to see how your bankroll needs change if you want to be even safer.

Key Factors That Affect Poker Bankroll Calculator Results

Several financial and behavioral factors influence the numbers produced by a poker bankroll calculator:

• Win Rate Strength: As your win rate increases, your required bankroll decreases. A higher win rate allows you to “outrun” variance more effectively.
• Game Format: PLO has much higher variance than NLHE. Short-handed (6-max) games have higher variance than full-ring (9-max) games.
• Playing Style: “LAG” (Loose-Aggressive) players naturally have a higher standard deviation than “TAG” (Tight-Aggressive) players, requiring a larger poker bankroll calculator buffer.
• Stakes and Rake: High rake environments (like micro stakes) lower your effective win rate, which exponentially increases your bankroll needs.
• Cash Flow Needs: If you are withdrawing money for living expenses, your effective win rate is lower, meaning you need a significantly larger bankroll than the poker bankroll calculator suggests for a “pure” growth bankroll.
• Ability to Move Down: If you are willing to move down in stakes when you lose 20% of your bankroll, your “Risk of Ruin” for your entire net worth is effectively zero, allowing for more aggressive shots.

Frequently Asked Questions (FAQ)

Is 20 buy-ins enough for NLHE?

For most players, 20 buy-ins is not enough according to a poker bankroll calculator. While it might work for a casual player, a professional online player with a 1-2% risk of ruin usually needs 40-60 buy-ins.

Does the poker bankroll calculator work for tournaments?

Tournament bankroll requirements are different and rely on “ROI” (Return on Investment) and field size. However, the poker bankroll calculator principles of variance still apply—the larger the fields, the more buy-ins you need.

What is a good standard deviation?

There is no “good” standard deviation. It is simply a measure of how much your results swing. However, using a poker bankroll calculator, you will see that lower SD allows for a smaller bankroll.

Can I use this for PLO?

Yes. Simply increase the Standard Deviation input to 120-160 in the poker bankroll calculator to see the massive bankroll requirements for Pot Limit Omaha.

What happens if my win rate is negative?

If your win rate is negative, a poker bankroll calculator will show that ruin is 100% inevitable over a long enough time period. No bankroll is large enough to sustain a losing game.

Why does the risk of ruin matter?

The risk of ruin tells you the mathematical probability of losing everything. Even with a 1% risk, if 100 identical players play, one is expected to go broke purely due to bad luck.

How many hands do I need for an accurate win rate?

You need at least 50,000 to 100,000 hands before the win rate in your poker bankroll calculator becomes statistically significant.

Should I use the Kelly Criterion?

The Kelly Criterion is an aggressive strategy used to maximize growth. Most poker players find “Full Kelly” too volatile and use “Half Kelly” or “Quarter Kelly” logic, which aligns with the 1-2% Risk of Ruin settings in this poker bankroll calculator.