When to buy a bonus: how to understand that it is profitable


1) Term base (in xBet - multipliers to the bet)

Bonus purchase price (C): how much is a freespin round, usually 50-150 ×.
ABP (Average Bonus Payout) - the average payout of one bonus based on the results of a series of purchases.
BF (Bonus Frequency): average number of spins before the natural entry into the bonus.
RTP\_ buy: RTP purchase mode (often specified in "i" separately).
Ante (α surcharge): + 10-25% to the rate for an increased trigger chance.

2) The main criterion is "profitable/unprofitable"

1. Is there an exact RTP\_ buy in the rules?

If RTP\_ buy ≥ RTP\_ base (or at least no lower) - purchase mathematically no worse than spins.
If RTP\_ buy 2. No RTP\_ buy? Evaluate empirically:
  • Post N purchases (see 6) → count ABP.
  • Approximation: RTP\_ buy ≈ ABP/C. Compare with the RTP of the base game.

💡Conclusion: "Profitable" in the strict sense - when RTP\_ buy is not lower than your RTP in a regular game (or when there is a promo that makes EV ≥ 0).

3) Comparison with natural input and with Ante: solution formulas

3. 1. EV purchases (for 1 purchase):
  • $$
  • EV_ext{buy} = ABP - C
  • $$

(in xBet). In money - multiply by the rate. Positive EV is rare (promo/discounts/jackpot overlay needed).

3. 2. "Spin bonus value" without purchase:
  • $$
  • EV_{b/ext{spin}} \approx \frac{ABP}{BF}
  • $$

(in xBet by 1 spin) is the contribution of bonuses to RTP on regular spins.

3. 3. Ante Bet: spin surcharge α and new BF = B₁ (was B₀).
Change bonus value to spin:
  • $$
  • \Delta EV_{b/ext{spin}} \approx ABP \left(\frac{1}{B_1} - \frac{1}{B_0}ight) - \alpha
  • $$

If the EV Δ is> 0, Ante improves waiting (or at least does not spoil). If Δ EV ≤ 0, Ante is just an event accelerator for money.

4) When to buy a bonus rationally

RTP\_buy ≥ RTP\_base. Rare, but it occurs - especially in individual modes or in some providers.
Vager/promo give a plus to EV. Examples: freespins without a wager, cashback/rackback, purchase discounts, multiplier tournaments. Count the net effect.
Limited time, huge BF. When the natural input is "far away," and the goal is precisely a bonus (test/content). This is not about EV +, but about saving time.
Content strategy. For stream/review, the purchase pays off with out-of-game value (not math).

5) When not to buy

RTP\_ buy is significantly lower than RTP\_ base (the difference ≥ 0.5-1 percentage points).
The C price is high and the slot is super-volatile: without a series of purchases, the risks are prohibitive.
Casino bonus money. Often purchase is prohibited by T & Cs: risk of forfeiture of winnings.
There is no budget for the series. One purchase is not a strategy, but a lottery ticket.

6) How to collect data in a demo (minimal statistics)

Purchases: make 30-50 purchases (preferably 100 +) at a fixed rate in the demo.
Record: results in xBet, mean (ABP), median, percentage of empty/micro bonuses, P (≥50×, ≥100×).
Rate RTP\_ buy: ABP/C.
For Ante: measure B₀ (without Ante) and B₁ (with Ante) on 800-1,200 backs; substitute item 3 into the formula. 3.

💡Median often below average (right tail of rare big hits). This is the key to understanding variance.

7) Accounting for variance and bankroll

A series of purchases, not single: plan ≥ 20-30 purchases at least (in high will - 50 +).
Risk share per 1 purchase:
  • moderate volatility: 1-2% bankroll/buy;
  • high: 0.5-1%;
  • extreme (super bonuses/top options): 0.25-0.5%.
  • Stop-rules: stop-loss series − 20-35% of the series budget; stop-win by target (fix peak).
  • Pace: do not accelerate in turbo mode unnecessarily - turnover/hour ↑, waiting for money/hour is also ↑.

8) "Option selection" and "stairs" inside the bonus

If you can choose more spins or a higher starting ×, the average EV is often close, but the profile is different:
  • Longer spins → softer, more stable;
  • Higher × → sharper, higher P (≥100×), but more zero.
  • Gamble/ladder: it is rational to upgrade only if

$$
p\cdot EV_ext{apgreyd} + (1-p )\cdot EV_ext{feyl }\ge EV_ext{tekushchy}
$$

Often the chances are not disclosed - without numbers it is better to limit yourself to one "safe" step or refuse.

9) Scenarios and decision thresholds

A) "Regular game is worse on RTP, time is short"

Check: RTP\_ buy ≥ RTP\_ base or BF is very large.
Action: small share of risk/buy (0.5-1%), series 20-30 purchases, stop wines at their peak.

B) "Play/Promo"

Check: The wager counts Bonus Buy; cashback/discount offset minus EV.
Action: Count full EV (return accounting), rate limits from T & Cs.

C) "Slot Test"

The goal is to measure ABP and P (≥100×).
Action: 100 + purchases in demo, magazine, options comparison/Ante.

D) "Bad input"

RTP\_ buy lower, C high, bank small - do not buy, play with our backs/look for other slots/modes.

10) Frequent errors

Draw conclusions on 2-5 purchases. Need a series.
Ignore RTP\_ buy (if specified) and believe that "buying is always better."
Raise the rate after a series of minuses ("should give") - backs and outcomes are independent.
Buy with bonus money when prohibited in the rules.
Ignore the median and variance. The average "holds" on rare hits.

11) Buy-or-not checklist (30 seconds)

1. RTP\_base / RTP\_buy: ≥? (Yeah, no).
2. C and ABP (by demo): ABP/C ≈? (comparable to RTP\_ base?).
3. BF and Ante: with the formula of item 3. 3 gives Δ EV> 0?
4. Bank per batch: ≥ 20-30 purchases with a share of 0.5-1-2%?
5. T & Cs: Bonus Buy allowed? bet/play limit?
6. Limits: SL series, SW, timer.
7. Purpose: EV/report/content? If not EV, consciously pay for the pace.

Conclusion

It is beneficial to buy a bonus if and only if the RTP of the purchase mode is not lower than the basic one (or when the promo/cashback/tournament mechanics compensate for the minus EV). In other cases, it is a tempo tool: you pay for BF reduction and instant access to the game's "meat," accepting increased variance. Working practice is to consider ABP, evaluate RTP\_ buy ≈ ABP/C, check Ante with a formula, plan a series of purchases with a small share of the bank and follow stop rules. This is how you get the most out of Bonus Buy - without illusions and with risk control.

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