Bank Lending Strategy Evaluation
A new community bank aims to achieve a 5% return on its loan portfolio. It plans to lend out a large sum of money, spread across many small, identical loans. The bank decides to charge a 15% interest rate. Based on its market analysis, it projects that 9% of its borrowers will default and repay nothing, while the remaining 91% will repay their loans in full with interest.
Critically evaluate the bank's lending plan. In your response, you must:
- Calculate the bank's actual expected percentage return.
- Determine if the plan successfully meets its stated goal.
- Explain the primary flaw in the bank's strategy and propose one specific, justified change to the plan that would help it achieve its target.
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A bank has a large, diversified portfolio of loans. It currently charges an 18% interest rate and anticipates that 5% of its borrowers will default, repaying nothing. The remaining 95% are expected to repay in full. Which of the following independent changes to its lending model would result in the largest increase in the bank's expected return per dollar loaned?
A bank issues a large number of identical loans. It expects 5% of these loans to default, with the borrowers paying back nothing. To break even on its entire loan portfolio (i.e., to have an expected return of 0%), the bank must charge an interest rate of exactly 5% on the loans that are repaid.
A financial institution is deciding between two strategies for a loan portfolio valued at $100,000.
- Strategy A: Offer loans at a 20% interest rate, anticipating that 10% of borrowers will default and repay nothing.
- Strategy B: Offer loans at a 15% interest rate, anticipating that only 5% of borrowers will default and repay nothing.
By calculating the total expected monetary return for each strategy, determine which one is more profitable and by how much.
A bank issues a portfolio of 100 loans, each for $1,000, at an interest rate of 22%. The bank projects that 10% of the loans will default, with nothing being repaid. The remaining 90% of loans will be repaid in full with interest. Which of the following statements accurately breaks down the bank's expected net profit from this entire portfolio?
Bank Lending Strategy Evaluation
A bank has a loan portfolio totaling $1,000,000. The bank charges a 15% interest rate on all loans. Based on its analysis, the bank anticipates that 95% of the loans will be repaid in full (principal plus interest), while the remaining 5% will default, resulting in a complete loss of the principal for those loans. Match each financial component with its correct calculated value based on this scenario.