资本服务估算是经济学理论研究的一个难题。本文通过编制可以反映因素服务流的资本服务物量指数,采用1978—2010年中国固定资本形成序列和固定资本投资序列数据,运用永续盘存法(PIM)估算了资本存量总额;同时,分别利用双曲线形态下的“年龄-效率”函数和“年龄一价格”函数以及二者的相关关系估算出生产性资本存量;最后,以通过内生方法得到的资本租赁价格作为权数,用Tornqvist指数形式对不同类型资产进行加总,从而最终得出具有物量和价格双重属性的资本服务物量指数。
The estimation of capital service is a difficult problem in research on theory of economics. By compiling the quantity index of capital services which can indicate factor service flow, we estimate the gross capital stock with the perpetual inventory method(PIM), along with Chinese fixed capital formation and fixed capital investment between 1978 and 2010. Then, we estimate the productive capital stock using the relationship between " age-efficiency patterns" and "age-price profiles" at the morphological of hyperbolic curve. At last, we aggregate different types of capitals with Tornqvist index using capital rental price obtained by endogenous methods as weights, and the quantity index of capital services which has double characteristics of material quantity and price is finally obtained.