Genuine four-carat emeralds of fine quality are approximately 15-20 times rarer than diamonds of comparable size and significantly scarcer than most other precious stones. Natural emeralds face extraordinary formation challenges, requiring precise geological conditions that rarely produce large, gem-quality crystals. Conflict-free specimens of this substantial size with excellent color saturation and acceptable clarity represent less than 0.1% of all emeralds mined, explaining their high value and desirability among serious collectors and investors.