Bank A is considering a loan to be fully funded by deposits, with the following parameters:
Loan amount: $3 billion
Average annual interest rate paid on deposits: 1.5%
Annual interest rate on loan: 4.0%
Expected loss: 1.0% of face value of loan
Annual operating costs: 1.0% of face value of loan
Economic capital: 8.0% of the loan amount
Average return on economic capital: 3.0%
What is the risk-adjusted return on capital (RAROC) for this loan?

Answers

Answer 1

RAROC = (120 - 30 - 30 - 7.2) / 240 = 0.175 = 17.5%
Therefore, the risk-adjusted return on capital for this loan is 17.5%.

The RAROC for this loan can be calculated as follows:

First, we need to calculate the total interest paid on the loan. At an annual interest rate of 4.0%, the interest paid on a $3 billion loan would be $120 million per year.
Next, we need to calculate the expected loss on the loan. At 1.0% of the face value of the loan, the expected loss would be $30 million.
Then, we need to calculate the annual operating costs of the loan. At 1.0% of the face value of the loan, the annual operating costs would be $30 million.
The economic capital required for this loan would be 8.0% of the loan amount, or $240 million.
The average return on economic capital is 3.0%, so the return on the $240 million economic capital would be $7.2 million.
To calculate the RAROC, we subtract the expected loss and the annual operating costs from the total interest paid on the loan, and then divide by the economic capital. So:
RAROC = (120 - 30 - 30 - 7.2) / 240 = 0.175 = 17.5%
Therefore, the risk-adjusted return on capital for this loan is 17.5%.

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