Risk-Free Loan Repayment Calculation
In a theoretical lending scenario where the borrower's repayment is guaranteed, the total amount due to the lender can be determined by a straightforward formula. If a borrower receives a loan of principal amount at an interest rate , the total repayment would be . This calculation represents the lender's expected return in the absence of any repayment risk.
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Ch.10 Market successes and failures: The societal effects of private decisions - The Economy 2.0 Microeconomics @ CORE Econ
The Economy 2.0 Microeconomics @ CORE Econ
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Learn After
A small business takes out a one-year loan of $20,000 to purchase new equipment. The loan has an annual interest rate of 5%. Assuming there is no risk of the business failing to repay, what is the total amount the lender will receive at the end of the year?
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A lender is considering two different one-year loan proposals, and in both scenarios, the borrower is guaranteed to repay the loan in full.
- Proposal 1: Lend $15,000 at a 5% annual interest rate.
- Proposal 2: Lend $14,000 at a 6% annual interest rate.
To maximize the total amount of money returned at the end of the year, which proposal should the lender accept?
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