Question
6. Regulatory capital arbitrage Suppose that Second Republic Bank's assets consist of only four mortgage loans made to Akshay, Brian, David, and Felix. All of
6. Regulatory capital arbitrage
Suppose that Second Republic Bank's assets consist of only four mortgage loans made to Akshay, Brian, David, and Felix. All of the loans are five-year loans of $100,000 with annual payments of $20,000 each.
Loans | Year 1($) | Year 2($) | Year 3($) | Year 4($) | Year 5($)L | Total Loan($) | Risk Weight(%) |
---|---|---|---|---|---|---|---|
Akshay | 20,000 | 20,000 | 20,000 | 20,000 | 20,000 | 100,000 | 20 |
Brian | 20,000 | 20,000 | 20,000 | 20,000 | 20,000 | 100,000 | 20 |
David | 20,000 | 20,000 | 20,000 | 20,000 | 20,000 | 100,000 | 20 |
Felix | 20,000 | 20,000 | 20,000 | 20,000 | 20,000 | 100,000 | 20 |
Total | $80,000 | $80,000 | $80,000 | $80,000 | $80,000 | $400,000 |
If each loan has a risk weight of 20%, then the value of Second Republic Bank's risk-weighted assets is:
$400,000
$80,000
$100,000
If Second Republic Bank is required to hold 10% of its risk-weighted assets as capital, then its regulatory capital is (40,000/ 8,000/ 10,000) .
Now, suppose the bank pools together all four loans and then divides the pool into five tranches in terms of yearly payments. The tranche with Year 1 payments is considered the least risky, while the tranche with Year 5 payments is considered the most risky. See the following table for the amount and risk weight of each tranche.
Tranche | Amount($) | Risk Weight(%) |
---|---|---|
Year 1 | 80,000 | 5 |
Year 2 | 80,000 | 10 |
Year 3 | 80,000 | 15 |
Year 4 | 80,000 | 25 |
Year 5 | 80,000 | 30 |
Total | $400,000 |
The new value of Second Republic Bank's risk-weighted assets is:
$88,000
$68,000
$80,000
The securitization (decreases/ does not change/ increases) Second Republic Bank's regulatory capital. The bank's leverage ratio is likely to (not change/ increase / decrease) .
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