Note on Gold to EWC conversion rates

General
1

Trade tokens have a Gold value when overflowing and I think it can be relevant to the Gold to EWC conversion rates calculation, because when we make a trade paying gold to get EWCs, we also lose the Gold value of the token.

Here are the conversion rates for overflowing trade tokens:

  • Common (C) → 250 Gold
  • Rare (R) → 500 Gold
  • Epic (E) → 1000 Gold
  • Legendary (L) → 2000 Gold

To get Gold to EWC conversion rates I used these formulas:

  • Shop and EWC Store:
    ewcValue/goldValue

  • Trade:
    (ewcValue*quantity) / ((goldValue/2)*quantity + tokenGoldValue)

(goldValue being the value of 1 card in the shop)

Here are the results before and after the changes:

EWC/Gold Before Changes:

Shop

  • C = 1/10 = 0.100
  • R = 5/100 = 0.050
  • E = 20/1000 = 0.020
  • L = 1500/40000 = 0.038

Trade

  • C = (1*250) / ((10/2)*250 + 250) = 0.167
  • R = (5*50) / ((100/2)*50 + 500) = 0.083
  • E = (20*10) / ((1000/2)*10 + 1000) = 0.033
  • L = (1500*1) / ((40000/2)*1 + 2000) = 0.068

EWC Store

  • 5000/150000 = 0.033

EWC/Gold After Changes:

Shop

  • C = 1/10 = 0.100
  • R = 5/50 = 0.100
  • E = 20/200 = 0.100
  • L = 1500/15000 = 0.100

Trade

  • C = (1*250) / ((10/2)*250 + 250) = 0.167
  • R = (5*50) / ((50/2)*50 + 500) = 0.143
  • E = (20*10) / ((200/2)*10 + 1000) = 0.100
  • L = (1500*1) / ((15000/2)*1 + 2000) = 0.158

EWC Store

  • 5000/100000 = 0.050

(results are rounded)

So here are the Gold spending priorities if when taking into account the Gold value of trade tokens:

Before Changes:

  1. C trade
  2. C shop
  3. R trade
  4. L trade
  5. R shop
  6. L shop
  7. E trade AND EWC Store
  8. E shop

After Changes:

  1. C trade
  2. L trade
  3. R trade
  4. C/R/E/L shop AND E trade
  5. EWC Store

I think using trade tokens Gold value into Gold to EWC conversion rates calculations can be interesting because it can provide useful information, for example:

  • Before the changes, if we don’t take trade tokens Gold value into account, it looks like using Epic trade tokens is better than buying Legendary cards in the shop, but in fact it is more efficient to let the Epic trade tokens overflow to buy more Legendary cards in the shop using the Gold from the overflow.

  • After the changes, using Epic trade tokens is equally efficient as buying cards in the shop. Also, if a player has many trade tokens but is short on Gold, it is much better to let an Epic trade token overflow than a Common trade token.