In a specific economic model with one lender and five borrowers, the relationship between the lender's income share (s) and the resulting income inequality, measured by the Gini coefficient (g), is given by the formula: $g = \frac{6s - 1}{5}$ At what value of the lender's income share (s) would this economy achieve perfect income equality?

Inequality in a Lender-Borrower Model

Interpreting the Lower Bound of Inequality

Consider an economic model with one lender and five borrowers, where the income inequality is measured by the Gini coefficient (g) using the formula: $g = \frac{6s - 1}{5}$ In this model, where s represents the lender's share of income, a decrease in the lender's income share will always lead to a decrease in income inequality.

In a simplified economic model with one lender and five borrowers, income inequality is measured by a Gini coefficient (g) calculated with the formula: $g = \frac{6s - 1}{5}$ where s is the lender's share of income. The lender's share is defined as the ratio of the interest rate (r) to the profit rate (R). If the profit rate in this economy is 20% and the interest rate is 10%, what is the Gini coefficient?

In an economic model with one lender and five borrowers, the Gini coefficient (g) is calculated using the formula: $g = \frac{6s - 1}{5}$ where s is the lender's share of income. For the Gini coefficient to be a non-negative value, which is a necessary condition for it to measure inequality, the lender's share of income (s) must be at least ____. (Express your answer as a fraction or a decimal rounded to three places).

Policy Evaluation in a Lender-Borrower Model

Sensitivity of Inequality to Lender's Income Share

Consider two separate economies, both described by a model with one lender and five borrowers where the Gini coefficient (g) is related to the lender's income share (s) by the formula: $g = \frac{6s - 1}{5}$ In Economy X, the lender's income share is s = 0.5. In Economy Y, the lender's income share is s = 0.75. Which of the following statements accurately compares the income inequality in these two economies?

Determining Lender's Share for a Target Inequality Level