Onshore Bank has $32 million in assets, with risk-adjusted assets of $22 million
ID: 2758043 • Letter: O
Question
Onshore Bank has $32 million in assets, with risk-adjusted assets of $22 million. Core Equity Tier 1 (CET1) capital is $1,000,000, additional Tier I capital is $340,000, and Tier II capital is $424,000. The current value of the CET1 ratio is 4.55 percent, the Tier I ratio is 6.09 percent, and the total capital ratio is 8.02 percent.
Calculate the new value of CET1, Tier I, and total capital ratios for the following transactions.
The bank repurchases $112,000 of common stock with cash. (Round your answers to 2 decimal places. (e.g., 32.16))
The bank issues $3.2 million of CDs and uses the proceeds to issue category 1 mortgage loans with a loan-to-value ratio of 80 percent. (Round your answers to 2 decimal places. (e.g., 32.16))
The bank receives $512,000 in deposits and invests them in T-bills. (Round your answers to 2 decimal places. (e.g., 32.16))
The bank issues $812,000 in common stock and lends it to help finance a new shopping mall. The developer has an A+ credit rating. (Round your answers to 2 decimal places. (e.g., 32.16))
The bank issues $2.2 million in nonqualifying perpetual preferred stock and purchases general obligation municipal bonds. (Round your answers to 2 decimal places. (e.g., 32.16))
Homeowners pay back $5.2 million of mortgages with loan-to-value ratios of 40 percent and the bank uses the proceeds to build new ATMs. (Round your answers to 2 decimal places. (e.g., 32.16))
a.The bank repurchases $112,000 of common stock with cash. (Round your answers to 2 decimal places. (e.g., 32.16))
Explanation / Answer
Current CET1 ratio = 4.55%
Risk weighted assets = $1,000,000/4.55% = $22,000,000
Total capital = $1,000,000 + $340,000 + $424,000 = $1,764,000
a.
New CET1 = $1,000,000 - $112,000 = $888,000
New Tier I capital = $888,000 + $340,000 = $1,228,000
New Total Capital = $1,228,000 + $424,000 = $1,652,000
Cash has a 0 risk weight so risk-weighted assets do not change.
Thus,
CET1 ratio = $888,000 / $22,000,000 = 4.04%
Tier I ratio = $1,228,000 / $22,000,000 = 5.58%
Total capital ratio = $1,652,000 / $22,000,000 = 7.51%
c.
T-bills have a 0 risk weight so risk-weighted assets remain unchanged. Thus, both ratios remain unchanged.
e.
Tier I capital is unchanged.
Total capital = $1,764,000 + $2,200,000 = $3964,000
General obligation municipal bonds fall into the 20 percent risk category.
So, risk-weighted assets = $22,000,000 + ($2,200,000 * 0.20) = 22,440,000
CET1 Ratio = $1,000,000 / $22,440,000 = 4.46%
Tier 1 Ratio = $1,340,000 / $22,440,000 = 5.97%
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