Alzrius
The EN World kitten
So I got to thinking about the idea that scrolls are so cheap that a wizard can make as many of them as necessary for an insignificant cost. I decided to run the numbers using a few base assumptions and see what I came out with. The results were surprising.
First, the setup: I decided that a wizard would make two scrolls of each level he could cast, at every level from levels 1 through 10. Second, I'm presuming that he uses all of his scrolls on each adventure, and that he goes on three adventures at each level (getting the requisite four encounters per adventure, for a total of twelve encounters to level...we're rounding down from the presumption that you need 13.33 level-appropriate encounters to gain a new level).
So in other words, at 1st level, a wizard will make two level one scrolls before each adventure, for three adventures, for a total of six scrolls. He'll do the same thing at 2nd level. At 3rd level, he'll make two level one scrolls and two level two scrolls before each adventure, for three adventures, and then do the same thing at level 4, etc.
Now, I'm also presuming that the PC Wealth by Level entries at each level are successive, rather than discrete. That is, I don't think that the GM makes sure that each PC has the listed amount of gear/treasure at each level regardless of their expenditures to date, but rather gives them the difference from one level to another, which they expend as they see fit. So a PC going from 2nd-level (with 1,000 gp of stuff) to 3rd-level (when he should have a total of 3,000 gp of stuff), is going to earn 2,000 gp of treasure over the course of 2nd level.
With that said, let's run the numbers:
1st level = [2*(12.5)]*3 = 75 gp
2nd level = [2*(12.5)]*3 = 75 gp
3rd level = [2*(12.5) + 2*(75)]*3 = 525 gp
4th level = [2*(12.5) + 2*(75)]*3 = 525 gp
5th level = [2*(12.5) + 2*(75) + 2*(187.5)]*3 = 1,650 gp
6th level = [2*(12.5) + 2*(75) + 2*(187.5)]*3 = 1,650 gp
7th level = [2*(12.5) + 2*(75) + 2*(187.5) + 2*(350)]*3 = 3,750 gp
8th level = [2*(12.5) + 2*(75) + 2*(187.5) + 2*(350)]*3 = 3,750 gp
9th level = [2*(12.5) + 2*(75) + 2*(187.5) + 2*(350) + 2*(562.5)]*3 = 7,125 gp
10th level = [2*(12.5) + 2*(75) + 2*(187.5) + 2*(350) + 2*(562.5)]*3 = 7,125 gp
Total cost: 26,250 gp
At 10th level, a PC should have 62,000 gp. Spending the above amount on scrolls over the PC's life means that he's sinking a significant 42% of his wealth into making these scrolls! Even leaving aside the not-inconsiderable Douglas Adams jokes that we can make about this number, that's self-evidently cost-prohibitive, since it will eat deeply into the wizard's ability to buy other gear (such as the big six).
While there were several assumptions made here, they're baseline enough that I think we can say that this takes a big bite out of the idea that a wizard will always have enough scrolls that he'll, for all intents and purposes, never run out of spells.
First, the setup: I decided that a wizard would make two scrolls of each level he could cast, at every level from levels 1 through 10. Second, I'm presuming that he uses all of his scrolls on each adventure, and that he goes on three adventures at each level (getting the requisite four encounters per adventure, for a total of twelve encounters to level...we're rounding down from the presumption that you need 13.33 level-appropriate encounters to gain a new level).
So in other words, at 1st level, a wizard will make two level one scrolls before each adventure, for three adventures, for a total of six scrolls. He'll do the same thing at 2nd level. At 3rd level, he'll make two level one scrolls and two level two scrolls before each adventure, for three adventures, and then do the same thing at level 4, etc.
Now, I'm also presuming that the PC Wealth by Level entries at each level are successive, rather than discrete. That is, I don't think that the GM makes sure that each PC has the listed amount of gear/treasure at each level regardless of their expenditures to date, but rather gives them the difference from one level to another, which they expend as they see fit. So a PC going from 2nd-level (with 1,000 gp of stuff) to 3rd-level (when he should have a total of 3,000 gp of stuff), is going to earn 2,000 gp of treasure over the course of 2nd level.
With that said, let's run the numbers:
1st level = [2*(12.5)]*3 = 75 gp
2nd level = [2*(12.5)]*3 = 75 gp
3rd level = [2*(12.5) + 2*(75)]*3 = 525 gp
4th level = [2*(12.5) + 2*(75)]*3 = 525 gp
5th level = [2*(12.5) + 2*(75) + 2*(187.5)]*3 = 1,650 gp
6th level = [2*(12.5) + 2*(75) + 2*(187.5)]*3 = 1,650 gp
7th level = [2*(12.5) + 2*(75) + 2*(187.5) + 2*(350)]*3 = 3,750 gp
8th level = [2*(12.5) + 2*(75) + 2*(187.5) + 2*(350)]*3 = 3,750 gp
9th level = [2*(12.5) + 2*(75) + 2*(187.5) + 2*(350) + 2*(562.5)]*3 = 7,125 gp
10th level = [2*(12.5) + 2*(75) + 2*(187.5) + 2*(350) + 2*(562.5)]*3 = 7,125 gp
Total cost: 26,250 gp
At 10th level, a PC should have 62,000 gp. Spending the above amount on scrolls over the PC's life means that he's sinking a significant 42% of his wealth into making these scrolls! Even leaving aside the not-inconsiderable Douglas Adams jokes that we can make about this number, that's self-evidently cost-prohibitive, since it will eat deeply into the wizard's ability to buy other gear (such as the big six).
While there were several assumptions made here, they're baseline enough that I think we can say that this takes a big bite out of the idea that a wizard will always have enough scrolls that he'll, for all intents and purposes, never run out of spells.
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