Golden Rule of Capital Accumulation and Macroeconomic Policy Essay

Golden Rule of Capital Accumulation and Macroeconomic Policy - judge ExampleBut this steady put in rate of growth can vary across economies (Solow, 1994, pp.45-46). In this context the Golden Rule of peachy assembly adjudicates the optimal level of capital per capita that produces the optimal sustained level of per capita consumption in the economy (Mankiw, 2006, pp.110-115). This paper discusses this Golden Rule of capital accumulation and explains implications for macroeconomic policies in this context. Steady state level of capital and output per capita The Solow Growth model determines the steady state level of capital well-worn per capita and the steady state level of output per capita. But the Golden Rule of capital accumulation determines the maximum level of consumption per capita at the steady state level of capital stock (Blanchard, 2006, p.230). This is called the sustainable level of consumption per capita. Here sustainable means that the present generation of the economy saves exactly that amount which is consistent with the replacement of the exit of capital stock that happened due to depreciation of that capital stock, no more and no less. In this sense this Golden Rule of capital stock provides the optimal level of consumption, bringings and investment per capita at each period. Before deriving the Golden Rule capital stock let us first determine the steady state level of per capita capital and per capita output (Arnold, 2011, p.340). Assumptions and observations Suppose that the conflate production serve is given by Y = F (K, L), where, Y =aggregate output level F ( ) = aggregate officiate K =aggregate level of capital stock L = aggregate stock of labour (Solow, 1994, pp.45-54). Let, n be the unending and exogenous rate of growth of labour force. By dividing the aggregate production function by the stock of labour L, we stir the per capita production function as, y = f (k, 1), where, y = per capita output f ( ) =per capita functio n k = per capita capital stock 1 is the number. Or this per capita production function can be written as y = f (k). The production function in this economy is assumed to describe the assumption of diminishing fringy productivity, i.e. rate of change in output per capita declines with the increase level of capital stock per capita. That is why the per capita production function is upward sloping and concave. The production function may exhibit constant returns to scale, i.e. one unit increase in the per capita capital raises output per capita by one unit (Baumol, 1986, pp.1072-1101). ? is assumed to be the constant rate at which capital stock depreciates in each period. Hence, the total depreciation of capital per capita is (?+n)*k. Assuming s as the constant rate of saving per capita, the total level of savings in the economy will be s*y = s*f (k) As savings rate equals investment, deliverys investment is given as s*f (k) (Jones, 2002, pp.97-104). dk/dt measures the rate of change of capital stock per capita and is computed as dk/dt = s*y - (?+n)*k, where t = fourth dimension element (for simplicity writing the t notation is avoided in each function). Hence, the steady state level of capital stock is achieved for that level of capital stock per capita where the change in capital stock is zero, i.e. , where dk/dt = 0. The steady state capital stock is denoted by k*