Sharpness quality

Range sharpness measures how narrow or precise a trader's selected price interval is, relative to the current price of the token. It captures the trader’s willingness to make a high-confidence, precision prediction versus a broad, lower-risk hedge.

This produces a dimensionless value that is consistent across assets with different price scales. To map this to a normalized score between 0 and 1 (where 1 is extremely sharp and 0 is extremely broad), we use an exponential scoring function:

$$\text{Sharpness Score} = 1 - e^{-\frac{0.25}{\text{Range Sharpness}}}$$

With initial parameters set to k=0.25:

Sample values:

0.05	0.993	Very sharp, high precision bet
0.10	0.95	Moderately sharp
0.25	0.63	Balanced between risk and coverage
0.50	0.39	Broad, conservative prediction
1.00	0.22	Very wide range