Question

A bank offers one-year loans at a rate of 10%. For a certain segment of customers,...

A bank offers one-year loans at a rate of 10%. For a certain segment of customers, the bank also charges a 100 basis point risk premium. This bank charges a .20% loan origination fee and imposes a 9% compensating balance requirement. The bank pays a 5% reserve requirement to the Fed. What is the return to the bank on these loans? If the bank would like to increase their return, what could they do?

Homework Answers

Answer #1

Actual loan =Bank loan *(1-(Origination Fees + Compensating Balance Requirement))

Actual Loan = 100 * (1 - (0.2% + 9%))

Actual Loan = 100* 90.8% = $90.8

One Year Loan Rate = 10%

Bank Reserve requirement = 5%

Net Margin available to bank = One Year Loan Rate - Bank reserve requirement = 5%

Actual Return generated on $ 100 loan = $ 5

Return to bank on these loan = $5/$90.8 = 5.5%

There are two ways to increase return:

  • Increase interest rate from 10% to higher
  • Increase origination fees or compensating balance requirement
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