In the overlapping generations model, explain how saving responds to changes in the wage rate and the interest rate.

In the Overlapping Generations Model (OLG), the response of saving to changes in the wage rate and the interest rate can be explained as follows:

1. Wage Rate: The wage rate is the price of labor. In the OLG model, an increase in the wage rate would increase the income of the young generation who are in their working phase. This increase in income would lead to an increase in both consumption and saving, assuming that the marginal propensity to consume is less than one. Therefore, an increase in the wage rate would lead to an increase in saving. Conversely, a decrease in the wage rate would lead to a decrease in saving.

2. Interest Rate: The interest rate is the return on saving. In the OLG model, an increase in the interest rate would increase the return on saving, which would incentivize the young generation to save more. Therefore, an increase in the interest rate would lead to an increase in saving. Conversely, a decrease in the interest rate would lead to a decrease in saving.

However, it's important to note that these are general trends and the actual response of saving to changes in the wage rate and the interest rate can depend on other factors such as the elasticity of substitution between consumption when young and consumption when old, the rate of population growth, and the rate of technological progress.