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Casino EV Simulator guide

Casino Deposit Bonus EV Calculator

Calculate the expected value of a casino deposit bonus after wagering costs, stake size, RTP, volatility, bankroll survival and offer caps are taken into account.

How a deposit bonus is valued

A deposit bonus normally starts with two amounts: your cash deposit and the promotional bonus. The headline bonus is not the same as expected profit because the offer may require a large amount of qualifying wagering before the resulting balance can be withdrawn.

The calculator models the starting cash, bonus, wagering amount, game RTP, stake and—when slots are selected—the volatility setting. It can also model bonus-first play and a maximum-winnings cap. Those details matter because two offers with the same bonus percentage can produce very different expected results.

The main value drivers
  • Bonus amount: the promotional value added before wagering costs.
  • Wagering amount: the total turnover the model must attempt.
  • RTP: determines the long-run expected game cost per unit wagered.
  • Stake and volatility: change the path through the wagering and the chance of exhausting the bankroll.
  • Maximum winnings: can cap the amount retained from a successful path.

Worked deposit-bonus EV example

Suppose you deposit £100, receive a £100 bonus, and must wager £1,000 on a game modelled at 95% RTP. Ignoring caps and path-dependent rules, the underlying game has a 5% house edge, so the expected cost of £1,000 wagering is £50.

Expected game cost = £1,000 × (1 − 0.95) = £50 Mathematical EV = £100 bonus − £50 expected game cost = +£50

The £100 deposit is not counted as profit; it is your starting cash. In this simple deterministic example the promotion adds £100 of value and the wagering consumes £50 of it on average, leaving an EV of +£50. A simulation can still finish very differently because individual spins or hands do not return exactly 95% each time.

Reproducible simulator result

This is a real output from the current simulator engine, not a hand-calculated estimate. It uses 100,000 simulations with fixed seed 20261010, generated on 10 October 2026, so the run can be reproduced from the source package.

SettingValue
Deposit / bonus£100 / £100
Wagering£1,000
GameSlots, 95% RTP, Medium volatility
Stake£2
Maximum winningsNone
ResultFixed-seed output
Mathematical EV+£50.00
Simulated EV+£60.36
Bust46.6%
Completion53.4%
Average wagered£819.16
5th–95th percentile result−£99.74 to +£545.82

Here the Simulated EV is higher than Mathematical EV because many trials exhaust the playable bankroll before all £1,000 of wagering is completed. The simulation therefore averages only £819.16 of actual turnover. That is exactly the kind of finite-bankroll effect the simple £100 − £50 calculation cannot represent.

Slot results use the simulator's generic payout table for the selected volatility setting, not data from a specific slot. A normal live run uses a fresh random seed, so its result will vary slightly around this published snapshot.

Open this calculator Enter the published settings above to compare a fresh live run.

Why stake size and bankroll survival matter

A simple formula assumes the full wagering requirement is completed. Real play may not get that far. If the available balance falls below the stake, the simulation stops because another bet cannot be placed. That is why a playable offer can have a different Simulated EV from the headline Mathematical EV.

Stake size is especially important relative to the bankroll. Betting £1 from a £200 starting balance gives the model many more chances to absorb normal variance than betting £50 from the same balance. The RTP has not changed, but the probability of reaching the end of the wagering requirement has.

Slot volatility changes the payout distribution rather than the stated RTP. A higher-volatility model can create larger swings and therefore a different completion or bust profile even when the long-run return target is identical.

Mathematical EV versus Simulated EV

For a straightforward deposit bonus, Mathematical EV uses the entered RTP as an exact long-run return. The calculator can withhold Mathematical EV when that deterministic path is not a reliable representation—for example, when a maximum-winnings cap makes the outcome path-dependent or when the modelled balance would not survive the full wagering requirement even under exact RTP.

Simulated EV instead plays the offer repeatedly using the selected outcome distribution. Read it alongside Bust, Completion, Avg wagered and Avg time. A positive EV with a very low completion rate is a different proposition from an offer with the same EV that completes reliably.

Common deposit-bonus mistakes

Deposit bonus questions

What does a positive deposit-bonus EV mean?

It means the modelled average profit is above zero over many repetitions under the assumptions entered. It does not mean one attempt is expected to finish close to that number.

Does a smaller stake always improve the offer?

No. A smaller stake often reduces short-run bankroll pressure, but the effect depends on the game, bankroll, wagering requirement and any time or offer constraints. The simulator is useful because it lets you compare the actual stake choices.

Why can Simulated EV differ from Mathematical EV?

Because the simulation respects individual outcomes, affordability and early stopping. When a bust stops the wagering early, Simulated EV can be higher because some of the deterministic game cost is never incurred. Caps and other path-dependent rules can also push it lower. The difference is not necessarily Monte Carlo noise.

Is the deposit included in EV?

The deposit is treated as your cash investment, not promotional profit. Profit is measured relative to the cash put in, while the bonus and game outcomes determine the value added or lost.

Related calculators and guides

Casino EV Simulator is a calculation tool. Results are expected values based on the assumptions entered, not predictions or guarantees for a single attempt.