D&D 5th Edition Point Buy Rules & Mathematics
The 5e Point Buy method provides an equitable, standardized alternative to dice rolling (4d6 drop lowest). Every character begins with an 8 in all six core abilities and spends exactly 27 points to build their starting attribute foundation.
1. D&D 5e Ability Modifier Formula
Ability Modifier=⌊
Final Ability Score − 102
⌋2. Point Buy Cost Allocation Formula
Point Cost=(Score − 8) + [2 × max(0, Score − 13)]
Step-by-Step Calculation Breakdown (Level 1 Human Fighter)
Step 1: Allocate Point Buy Pool across Base Stats
Str 15 (9 pts) + Dex 14 (7 pts) + Con 14 (7 pts) + Int 10 (2 pts) + Wis 10 (2 pts) + Cha 8 (0 pts)
Total Points Spent = 9 + 7 + 7 + 2 + 2 + 0 = 27 / 27 Points (100% Allocated)
Total Points Spent = 9 + 7 + 7 + 2 + 2 + 0 = 27 / 27 Points (100% Allocated)
Step 2: Add Standard Human Racial ASIs (+1 to all six abilities)
Str: 15 + 1 = 16 | Dex: 14 + 1 = 15 | Con: 14 + 1 = 15
Int: 10 + 1 = 11 | Wis: 10 + 1 = 11 | Cha: 8 + 1 = 9
Int: 10 + 1 = 11 | Wis: 10 + 1 = 11 | Cha: 8 + 1 = 9
Step 3: Compute Final Modifiers for Dice Rolls
Strength Modifier=⌊ (16 − 10) / 2 ⌋=+3 Strength Modifier
5e Ability Score Point Cost & Modifier Table
| Base Score | Point Buy Cost | Base Modifier | Strategic Utility |
|---|---|---|---|
| 8 | 0 pts | -1 | Standard 'dump stat' starting floor |
| 10 | 2 pts | +0 | Neutral baseline score |
| 12 | 4 pts | +1 | Solid secondary attribute tier |
| 14 | 7 pts | +2 | Cost increases to 2 pts/level |
| 15 (Max) | 9 pts | +2 | Max purchase score; reaches 17 with +2 racial ASI |