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“Mystery Box” Economics

Robinhood announced a new “Mystery Box” points redemption feature to Gold [credit] Card customers today. Launching a loot crate minigame for consumer debt is an odd move — Robinhood, after all, spent the last few years insisting it’s an accessible but responsible consumer financial services company (c.f. their debit and retirement products) and not a gambling app for candy-crushing your life’s savings away into short-call options. Between their recent event contracts experiment and Vlad’s chatter about sports betting, they seem lately less afraid of the casino comparison.

A “Mystery Box” costs 1, 000 points. The result of about $333 in spend, 1, 000 points have a $10 value in cash-back redemption.1 Each Box yields a reward in one of three forms:

  1. A fixed number of points — greater than the 1, 000 spent.
  2. An elevated cash-back rate for all spend over the next 24 hours.
  3. An elevated cash-back rate for either your next transaction in a certain category (e.g. “groceries”) or your next transaction with a certain merchant (e.g. Starbucks).

Importantly, the 2nd and 3rd reward forms — boosted cashback rates — do not stack on the standard 3% cash-back rate offered by the card. You should think of the reward as just the marginal increase over 3%: a 4% elevated rate only nets you 1% additional cash-back.

When does it make sense to buy a “Mystery Box” instead of redeeming to cash in a Brokerage account? The expected value depends on how you expect to spend after buying it. If you have specific plans — e.g. a large single purchase you need to make on Amazon — the expected value may exceed the $10 price tag.

I am not a financial advisor and this is not financial advice. These reward definitions are from the Robinhood Gold Card Rewards Program Rules as of December 23, 2024; they may change.

Reward Expected spend Reward value Probability Expected value
10,000 points $100.00 0.50% $0.50
7,500 points $75.00 0.75% $0.56
5,000 points $50.00 1.50% $0.75
2,500 points $25.00 2.50% $0.50
1,500 points $15.00 4.00% $0.60
1,250 points $12.50 5.00% $0.63
10% cashback on next grocery purchase $100 7.00%
10% cashback on next gas purchase $50 7.00%
5% cashback for 24 hours $250 8.00%
10% cashback on next Uber or Lyft $100 10.00%
15% cashback on next Starbucks purchase $10 10.00%
4% cashback for 24 hours $250 10.75%
5% cashback on next Amazon.com purchase $250 10.00%
5% cashback on next restaurant purchase $100 12.00%
5% cashback on next DoorDash or Uber Eats $100 11.00%
"Mystery Box" cost $10.00
Total "Mystery Box" expected value

The ranges on these sliders are, for the most part, just what feel reasonable to me. I don’t know if Starbucks would let you place a $5,000 order; either way, you probably won’t try.