Theory and Modern Applications
From: Calibration of the exponential Ornstein–Uhlenbeck process when spot prices are visible through the maximum log-likelihood method. Example with gold prices
Annual
Standard Spot Price
Natural Logarithm
Logarithm return
Mean
573.70
6.14
4.90%
Standard deviation
415.65
0.65
19.07%
Skewness
1.34
0.41
0.97
Kurtosis
3.56
2.67
5.23