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^ 表示下標不是次方項喔 3. Consider the dynamics of an individual's personal (human) capital stock as S is decribed as S^(t+1) = δS^t + I^t , where δ<1 represents the depreciation of accumulater capital , I is the level of investmaen in capital with a time cost of C(I) , qnd C(I) is increasing and convex . The opportunity cost of time is w , repesenting the wage rate . When an indivual has a lifespan of T periods , i.e. t=1,2,3...,T, the maximization problem can described as : T ^ Max β^t Σ [S^tR(S^t)-wC(I^t)] , t=0 ^ s.t. S^(t+1) = δψS^t + I^t where is the discount factor , S is the aggregate per-capita capital , ^ SR(S) is the individual's market and non-market returns to capital , ^ R'S(S)>0 , ψ represents the decreication faciot arising from other reasons such as job switching or cjager of career . Slove for the optimal condition for I^t . -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 202.132.194.191 ※ 編輯: CPH 來自: 202.132.194.191 (11/24 02:30)