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Returns Converter

Returns Converter

Different brokers and countries quote returns in different formats. This converts any price into all four at once — decimal, American, fractional, and the implied probability behind it.

2.50
Decimal
+150
American
3/2
Fractional
40.0%
Implied probability
A reference tool, nothing more. Yoseri never places positions and is not a broker — every allocation is yours to decide and place yourself.
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HOW IT WORKS

The method.

1

What it does

Enter a price in any format and read it in every other, plus the implied probability (1 ÷ decimal returns) — the real number you should compare against your own estimate.

2

Why implied probability matters

Formats are cosmetic; implied probability is the signal. If your estimate of an outcome beats the broker's implied probability, you have an edge — regardless of how the returns are written.

3

Reading the margin

Add up the implied probabilities of every outcome in a market: anything over 100% is the broker's margin (the “vig”). Lower combined totals mean sharper, better-value brokers.

The formula
P = 1 / D American = (D−1)×100 [D ≥ 2] or −100/(D−1) [D < 2]
Where
  • Ddecimal returns
  • Pimplied probability (margin included)
  • FractionalD − 1

The four formats are the same number dressed differently — decimal is the one to compute with.

Worked example

A decimal price of 2.50.

  1. 1.Implied P = 1 / 2.50 = 40.0%
  2. 2.American = (2.50 − 1) × 100 = +150
  3. 3.Fractional = 2.50 − 1 = 3/2
Result: 2.50 = +150 = 3/2 = 40% implied
Pro pitfalls
  • Implied probability includes the broker's margin — the market's true estimate is lower.
  • Add up every outcome's implied probability; the excess over 100% is the vig (overround).
  • Remove the vig before comparing the market to your own probability.

Educational only — not trading advice. Calculators and simulations are illustrative; past results and simulated outcomes don’t guarantee future returns. Position responsibly.

FAQ

Questions, answered.

For decimal returns of 2.00 or higher, American returns = (decimal − 1) × 100. Below 2.00, American returns = −100 ÷ (decimal − 1). This converter does it both ways instantly, along with fractional and implied probability.
Implied probability is the chance an outcome must have for the returns to be fair: 1 ÷ decimal returns, as a percentage. Decimal returns of 2.50 imply a 40% chance. It's the real number to compare against your own estimate.
Add up the implied probabilities of every outcome in a market. Anything over 100% is the broker's margin (the 'vig' or 'juice'). The lower the total, the sharper and better-value the broker.
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