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And … the Solow capital motion growth model?
[By staff reporters]
In economics, the Golden Rule savings rate is the rate of savings which maximizes steady state level or growth of consumption, as for example in the Solow growth model.
Although the concept can be found earlier in John von Neumann and Maurice Allais‘s works, the term is generally attributed to Edmund Phelps who wrote in 1961 that the golden rule “do unto others as you would have them do unto you” could be applied inter-generationally inside the model to arrive at some form of “optimum“, or put simply “do unto future generations as we hope previous generations did unto us.”
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The Solow growth model
In the Solow growth model, a steady state savings rate of 100% implies that all income is going to investment capital for future production, implying a steady state consumption level of zero. A savings rate of 0% implies that no new investment capital is being created, so that the capital stock depreciates without replacement. This makes a steady state unsustainable except at zero output, which again implies a consumption level of zero.
Somewhere in between is the “Golden Rule” level of savings, where the savings propensity is such that per-capita consumption is at its maximum possible constant value.
Assessment
Put another way, the golden-rule capital stock relates to the highest level of permanent consumption which can be sustained.
Conclusion
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Filed under: Glossary Terms, Health Economics, Investing | Tagged: Golden Rule Savings Rate?, Solow growth model? |
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Wikipedia
The Solow–Swan model is an economic model of long-run economic growth set within the framework of neoclassical economics. It attempts to explain long-run economic growth by looking at capital accumulation, labor or population growth, and increases in productivity, commonly referred to as technological progress. At its core is a neoclassical (aggregate) production function, often specified to be of Cobb–Douglas type, which enables the model “to make contact with microeconomics”. The model was developed independently by Robert Solow and Trevor Swan in 1956 and superseded the Keynesian Harrod–Domar model.
Mathematically, the Solow–Swan model is a nonlinear system consisting of a single ordinary differential equation that models the evolution of the per capita stock of capital. Due to its particularly attractive mathematical characteristics, Solow–Swan proved to be a convenient starting point for various extensions.
For instance, in 1965, David Cass and Tjalling Koopmans integrated Frank Ramsey’s analysis of consumer optimization, thereby endogenizing the saving rate, to create what is now known as the Ramsey–Cass–Koopmans model.
Jeffrey
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