The authors show that maximum-entropy reasoning, together with a scale-invariance argument for log returns, yields the standard Garman-Kohlhagen foreign-exchange option pricing model.
Differential Geometrical Methods in Statistics ; Springer-Verlag: New York, USA, 1985
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Entropic Dynamics of Exchange Rates and Options
The authors show that maximum-entropy reasoning, together with a scale-invariance argument for log returns, yields the standard Garman-Kohlhagen foreign-exchange option pricing model.