The key assumption of the Solow–Swan growth model is that capital is subject to diminishing returns in a closed economy. Given a fixed stock of labor, the impact on output of the last unit of capital accumulated will always be less than the one before.
For the change in the capital stock per worker, as opposed to the rate of change, multiply each side by k, or K/L, as convenient: ∆k = (I/K - δK/K)K/L – nk = I/L - δK/L – nk, this simplifies to: ∆k = i – (δ + n)k.
Steady state represents the equilibrium of the economy in the long term. Equilibrium occurs exactly when the investment equals the break-even investment. As a result, capital stock does not change.
The economy must save until the marginal product of capital f'(k) is equal to the effective depreciation rate ( + + ). At which point, any further increase in saving, and hence capital, will push the marginal product of capital below the effective depreciation rate.
For the change in the capital stock per worker, as opposed to the rate of change, multiply each side by k, or K/L, as convenient: ∆k = (I/K - δK/K)K/L – nk = I/L - δK/L – nk, this simplifies to: ∆k = i – (δ + n)k.
Capital Accumulation g K = i K / Y − δ . The growth rate of the capital stock depends positively on the investment rate and negatively on the depreciation rate. It also depends negatively on the current capital-output ratio.
Ing to the model, capital accumulation alone cannot be a source for long-run economic growth. Instead, technological progress is necessary for sustained economic growth. While capital accumulation can lead to short-term economic growth, it is not sufficient for long-term growth.
Capital Accumulation g K = i K / Y − δ . The growth rate of the capital stock depends positively on the investment rate and negatively on the depreciation rate. It also depends negatively on the current capital-output ratio.
Capital accumulation is the process of gathering valuable assets or resources with the aim of increasing wealth, such as through investments that generate profits.