根据一阶最优化准则,对π_(T-1)求偏导数,并令其等于0,可以得到:

∂K-E/∂π_(T-1) = -γ(w_(T-1) - π_(T-1) r_(T-1)) e^(-γ(w_(T-1)-π_(T-1) r_(T-1))) e^(-γπ_(T-1) μ_(T-1) ) e^(-γπ_(T-1) σ_(T-1)^2/2) = 0

化简后可得:

w_(T-1) - π_(T-1) r_(T-1) - μ_(T-1) - σ_(T-1)^2/2 = 0

移项可得:

π_(T-1) = (w_(T-1) - μ_(T-1) - σ_(T-1)^2/2) / r_(T-1)

因此,使用一阶最优化准则求π_(T-1)的结果为:

π_(T-1) = (w_(T-1) - μ_(T-1) - σ_(T-1)^2/2) / r_(T-1)


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