K-EDe^-γw_T-1-π_T-1 r_T-1 e^-γπ_T-1 μ_T-1 e^-γπ_T-1 σ_T-1^22 e^-γc_T-1 e^-γδq_T-1 e^-γq_T-1 α_T-1 e^-γq_T-1 β_T-1^22使用一阶最优化准则求π_T-1
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)
原文地址: https://www.cveoy.top/t/topic/cfQD 著作权归作者所有。请勿转载和采集!