Promo credits on EV+ slot

Hello everyone,

Suppose one is playing a slot machine with 101% RTP.
Bet is $10 and for every $10 played you get 1 slot club point. When you've accumulated 2000 points you have the possibility to buy a $100+$100 in promo credits (you give $100 and get a ticket for $200 in promo credits back).

How does one factor this in mathematically to the overall EV?
Is it the equivalent of a $100 cashback ($101 to be correct as RTP is 101%)? So basically a 0.5% cashback? (100/(2000*1)=0.005)?
Or is it to be considered as a matchplay?

Thank you

Earning 2000 points is the result of $20,000 in bets. So, including the promo, you’re getting $20,200 in action for a cost of $20,100.

$20,200 / $20,100 = 100.4975124%

If your base game has a 101% return, then your overall return is as follows:

101% * 100.4975124% = 101.5024876%

This assumes that points are not awarded during play of $200 promo credits. If, however, points are earned, then this will be slightly higher.

Thank you very much, that makes sense now!
How do multiplier days affect this?

If one plays on x2 multiplier days one needs $10,000 to make 2000 points for the $100+$100.
So you're getting $10,200 in action for the cost of $10,100, right?

$10,200 / $10,100 = 100.990099%
Total RTP = 101% * 100.990099% = 102% correct?

For 4x multiplier one needs $5,000 in action for the $100+100 so:

$5,200 / $5,100 = 101.960784%
Total RTP = 101% * 101.960784% = 102.980392%

Am I doing this right? Thanks

Most likely, you will still need the same $20K in coin-in for this promo on multiplier days… That is, if they even offer it on those days! At least, that’s how the casinos near me handle such situations.

If, however, you can use multiplied points to cover the $100+$100, then yes, your EV increases with the multiplier.