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Different approaches are possible in order to derive the exponential regime in statistical systems. Here, a new functional equation is proposed in an economic context to explain the wealth exponential distribution. Concretely, the new iteration [1] given by ${\mathit{f}}_{\mathit{n}\mathrm{+}\mathrm{1}}\mathrm{\left(}\mathit{x}\mathrm{\right)}\mathrm{=}\mathrm{\int }{\mathrm{\int }}_{\mathit{u}\mathrm{+}\mathit{v}\mathit{>}\mathit{x}}\hspace{0.17em}\frac{{\mathit{f}}_{\mathit{n}}\mathrm{\left(}\mathit{u}\mathrm{\right)}{\mathit{f}}_{\mathit{n}}\mathrm{\left(}\mathit{v}\mathrm{\right)}}{\mathit{u}\mathrm{+}\mathit{v}}\mathrm{d}\mathit{u}\mathrm{d}\mathit{v}\hspace{0.17em}\mathit{.}$ It is found that the exponential distribution is a stable fixed point of this functional iteration equation. From this point of view, it is easily understood why the exponential wealth distribution...