Gold Value Calculation on Old Draven’s Passive

So for the first analysis of Draven’s nerf let’s look at how much Draven’s old passive was worth by calculating how much extra damage, and in turn gold, the new Draven need to equal the damage old Draven did .

Draven’s pre 3.9 patch passive Bleed did 30+4*level as dot, (stacking the passive did not refresh the duration, but the damage stacked so each bleed did full 30+4*level damage even if it was stacked).

This is calculated by basically solving for Y. It is lot more complicated, but this is the concept behind it, and attack speed does not come into calculation thankfully.

Draven damage with x damage item + passive= Draven damage with x+y damage from item

putting the gold/damage ratio into the calculation as well as critical this results in this monstrosity!

Gold=(passive damage+passive damage*(crit chance*(number of auto required to pull off spinning axe-1)/number of auto required to pull off spinning axe))/(number of auto required to pull of spinning axe*(1+crit chance)*crit damage/2+skill damage ratio)*gold/damage

Assuming 40 gold is worth 1 damage (from long sword 400/10) here is how much gold the old Passive was worth here are the datas.

“Number of Auto” means How many auto you need to per 1 activation of Spinning Axe. So Number of Auto=2 would be you using spinning axe every 2 hit and so on.

Edit:

• What the graphs show is how much gold the new Draven would need to have from his passive or other sources to buy items to deal same damage as the old Draven
• To clarify, what the auto attack number represents is how many auto attacks you have per 1 spinning axe. let’s say that passive does 1 damage. auto attack does 3 damage, and spinning axe does 2 damage. If you proc spinning axe every hit then passive is 1/6 of your total damage, but if you proc spinning axe every 2 hit then passive is only 1/9 of your damage since you did 1 more auto. So less auto attack you require to proc spinning axe higher proportion of your total damage your passive take up, which is why Gold value of the passive goes down if you have more number of autos.
• Baalhrezem brought up a good criticism, and yes the calculation does not account for damage from E and R as well as damage to turret, but I feel that because most of Draven’s damage come from his auto damage and spinning axe this calculation is still relevent, but it is worth slightly less in reality

0 crit chance

20% crit chance (static shyv)

25% crit chance and 250% crit damage (Infinity Edge)

30% crit (Phantom Dancer)

45% crit chance and 250% crit damage (static shyv, Infinity Edge)

55% crit chance and 250% crit damage (Phantom Dancer, Infinity Edge)

for people interested in trying out different variable here is the excel file I used for calculation:

How much was Old Draven Passive Worth

Variables you can change are: Number of autos, Crit change, Crit damage, Gold value of 1 damage

For comparison Old Draven basically started the game with a 2 kill and assist amount of gold on New Draven. It is 34 damage per hit or 2 hit after all.

pretty much a pick axe…

People can snowball a lane hard if they start with 2 to 3 kill at level 1 (not counting exp of course), and that is what the old Draven had on new Draven.

The gold value of Draven’s old passive gets bigger further the game progress and it is definitely more than the gold value Draven’s new passive gets him in most of his game, which is no surprise since the entire point of Draven change was to nerf him.

Only time will tell if it was too much or not. (Cliche finish for the win!)

Planning to analyze how this affect Draven’s early game strength by compairing the damage trade potential of new and old Draven with other three popular ADC.