Example Calculation of Lender and Borrower Income Shares
In the one-lender, five-borrower model, the division of net income between the lender and a borrower is determined by their respective shares, which are derived from the interest rate (r) and the profit rate (R). For example, with an interest rate of 10% (r = 0.10) and a profit rate of 15% (R = 0.15), the lender's share (s) is calculated as the ratio . The borrower's share is the remainder, $1 - s = 1/3$.
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Introduction to Microeconomics Course
CORE Econ
Ch.9 Lenders and borrowers and differences in wealth - The Economy 2.0 Microeconomics @ CORE Econ
The Economy 2.0 Microeconomics @ CORE Econ
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In a simplified economic model with one lender and five borrowers, income inequality is measured. Under a scenario where the interest rate (r) is 10% and the profit rate (R) is 15%, the resulting Gini coefficient is 0.6. Analyze how the Gini coefficient would change if the profit rate (R) were to increase to 20%, while the interest rate (r) remained unchanged at 10%.
Calculating Income Distribution in a Simplified Economy
Determining Interest Rate from Inequality Data
In a simplified economic model with one lender and five borrowers, where income distribution is determined by the ratio of the interest rate (r) to the profit rate (R), a student claims that setting the interest rate equal to the profit rate would result in perfect income equality (a Gini coefficient of 0). Is this claim correct?
In a simplified economic model with one lender and five borrowers, the lender's share of total income is determined by the ratio of the interest rate (r) to the profit rate (R). Match each economic scenario, defined by its interest and profit rates, to the correct resulting lender's income share.
Evaluating Policy to Reduce Income Inequality
Mechanism of Income Inequality in a Simplified Economy
In a simplified economic model featuring one lender and five borrowers, the lender's income share is the ratio of the interest rate (r) to the profit rate (R). If the interest rate is 8% and the profit rate is 12%, this results in the same Gini coefficient as a scenario where r=10% and R=15%. Based on this information, the Gini coefficient for this model under these conditions is ____.
To determine the level of income inequality in a simplified economic model with one lender and five borrowers, a series of calculations are required. Arrange the following steps in the correct logical sequence, starting with the given economic variables.
Critiquing the Assumptions of a Simplified Economic Model
Simplified Gini Coefficient Formula for the One-Lender, Five-Borrower Model
Impact of Interest Rate on Inequality in the One-Lender, Five-Borrower Model
Example Calculation of Lender and Borrower Income Shares
Learn After
Calculating the Gini Coefficient from a Lender's Income Share
Match each economic characteristic with the government model it best describes.
Policy Impact on Income Shares
In a simplified economic model, a lender provides capital to a borrower for a project. The project generates a profit rate (R) on the capital, and the lender charges an interest rate (r). The lender's share of the project's net income is the ratio of the interest rate to the profit rate (r/R). The borrower receives the remaining share. If a project has a profit rate of 20% and the interest rate is 5%, what is the borrower's share of the net income?
In an economic model where a lender's income share is determined by the ratio of the interest rate (r) to the profit rate (R), if the borrower's share of the net income is found to be 60%, what can be concluded about the relationship between the interest rate and the profit rate?
Impact of Changing Profitability on Income Distribution
In an economic model where a lender's share of income is defined as the ratio of the interest rate to the project's profit rate, a simultaneous doubling of both the interest rate and the profit rate will result in a larger share of income for the lender.
Determining an Interest Rate Based on Income Distribution
Evaluating Loan Options for a Business Project
Evaluating Loan Offers for a Startup
In an economic arrangement, a lender's share of a project's net income is calculated as the ratio of the interest rate (
r) to the project's profit rate (R). If both the interest rate and the profit rate increase by the exact same amount (e.g., both increase by 1 percentage point), under what condition will the lender's share of the income increase?In an economic model where a lender's income share is determined by the ratio of the interest rate (r) to the profit rate (R), if the borrower's share of the net income is found to be 60%, what can be concluded about the relationship between the interest rate and the profit rate?