Evaluating Loan Viability
A financial institution is considering offering a standard loan product with a 4% annual interest rate. Their historical data suggests that borrowers for this type of loan have a 95% probability of full repayment, with the remaining 5% defaulting completely (resulting in zero recovery for the institution). Calculate the expected percentage return for this loan product and explain whether the institution should proceed with offering it based solely on this calculation.
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Economics
Economy
Introduction to Macroeconomics Course
Ch.6 The financial sector: Debt, money, and financial markets - The Economy 2.0 Macroeconomics @ CORE Econ
The Economy 2.0 Macroeconomics @ CORE Econ
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Analysis in Bloom's Taxonomy
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Inverse Relationship Between Default Probability and Expected Return
Calculating Expected Return on a Startup Loan Portfolio
A commercial bank issues a $50,000 loan to a company at an annual interest rate of 10%. The bank's analysts determine that there is a 92% probability the company will repay the loan in full, but an 8% probability of a complete default where nothing is recovered. What is the bank's expected percentage return on this loan?
Determining Minimum Interest Rate Based on Default Risk
A bank is considering two loans of the same principal amount. Loan A has a 15% interest rate and a 90% probability of full repayment. Loan B has a 10% interest rate and a 95% probability of full repayment. Assuming zero recovery in case of default, the bank's expected return is higher for Loan A than for Loan B.
A financial institution is evaluating a portfolio of similar loans. Each loan has a principal amount of $50,000, an interest rate of 12%, and a 90% probability of being fully repaid. In the event of non-repayment, the institution recovers nothing. Match each calculated value below to the concept it represents in the expected return analysis for a single loan.
Implied Repayment Probability from Expected Return
Critique of the Expected Loan Return Model
A bank's loan portfolio has an average interest rate of 10% and an average repayment probability of 95%, with zero recovery on defaulted loans. To improve profitability, management is debating two proposals. Proposal 1 is to increase the average interest rate to 11%. Proposal 2 is to implement a new screening process that increases the average repayment probability to 96%. Which proposal would lead to a higher expected return for the bank?
Evaluating Loan Viability
Calculating Expected Return with Collateral