In: Finance
Onshore Bank has $27 million in assets, with risk-adjusted assets of $17 million. Core Equity Tier 1 (CET1) capital is $800,000, additional Tier I capital is $230,000, and Tier II capital is $414,000. The current value of the CET1 ratio is 4.71 percent, the Tier I ratio is 6.06 percent, and the total capital ratio is 8.49 percent. Calculate the new value of CET1, Tier I, and total capital ratios for the following transactions. a. The bank repurchases $107,000 of common stock with cash. (Round your answers to 2 decimal places. (e.g., 32.16)) CET1 ratio % Tier I ratio % Total capital ratio % b. The bank issues $2.7 million of CDs and uses the proceeds to issue category 1 mortgage loans with a loan-to-value ratio of 70 percent. (Round your answers to 2 decimal places. (e.g., 32.16)) CET1 ratio % Tier I ratio % Total capital ratio % c. The bank receives $507,000 in deposits and invests them in T-bills. (Round your answers to 2 decimal places. (e.g., 32.16)) CET1 ratio % Tier I ratio % Total capital ratio % d. The bank issues $807,000 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)) CET1 ratio % Tier I ratio % Total capital ratio % e. The bank issues $1.7 million in nonqualifying perpetual preferred stock and purchases general obligation municipal bonds. (Round your answers to 2 decimal places. (e.g., 32.16)) CET1 ratio % Tier I ratio % Total capital ratio % f. Homeowners pay back $4.7 million of mortgages with loan-to-value ratios of 50 percent and the bank uses the proceeds to build new ATMs. (Round your answers to 2 decimal places. (e.g., 32.16)) CET1 ratio % Tier I ratio % Total capital ratio
Sol :
Onshore bank assets - $27 million
Risk-adjusted assets = $17 million
Core Equity Tier 1 (CET1) capital = $800,000
Additional Tier I capital = $230,000
Tier II capital = $414,000
Current value of the CET1 ratio = 4.71%, Tier I ratio is 6.06%,and the total capital ratio is 8.49%.
Total capital = $800,000 + $230,000 + $414,000 = $1,444,000
Calculate the new value of CET1, Tier I, and total capital ratios for the following transactions.
Now,
Core equity capital ratio = Core equity capital / Risk adjusted assets.
Tier 1 capital ratio = (Core equity capital + additional Tier 1 Capital) / Risk adjusted assets.
Total capital ratio = (Core equity capital + additional Tier 1 Capital + Tier II Capital) / Risk adjusted assets.
a) When bank repurchases $107,000 of common stock with cash then, risk weighted assets will not change since cash has no risk weight.
Core equity Tier 1 capital will decrease to $800,000 - $107,000 = $693,000
Therefore Core equity capital ratio = $693,000/$17,000,000 = 4.08%
Tier I capital ratio % = $693,000 + $230,000/$17,000,000 = 4.43%
Total capital ratio % = $693,000 + $230,000 + $414,000/$17,000,000 = 7.86%
b) Bank issues $2.7 million of CDs and uses the proceeds to issue category 1 mortgage loans with a loan-to-value ratio of 70 percent.
Since mortgage risk weight is 70%, increase in risk assets = $0.7%*2.7= $1.89 million
Total risk adjusted assets = $17,000,000 + $1.89 million = $18.89 million
Core equity capital ratio = $800,000/ $18,890,000 = 4.24%
Tier 1 capital ratio = ($800,000+$230,000)/ $18,890,000 = 5.45%
Total capital ratio = ($800,000+$230,000+$414,000)/ $18,890,000 = 7.64%
c) Bank receives $507,000 in deposits and invests them in T-bills.
Since T-bills are risk free, there will be no change in risk adjusted assets. Therefore all the three ratios will remain the same.
d) The bank issues $807,000 in common stock and lends it to help finance a new shopping mall. The developer has an A+ credit rating.
Core equity capital will increases to $800,000+$807,000 = $1,607,000
Tier 1 capital increases to $1,607,000+$230,000 = $1,837,000
Total capital increases to $1,607,000+$230,000+$414,000= 2,251,000
Since credit rating is A+, loan risk weight is 50%. Risk adjusted assets will become ($17,000,000+ 0.5*$807,000 = $17,403,500
Core equity capital ratio = $1,607,000/$17,403,500 = 9.23%
Tier 1 ratio = $1,837,000/$17,403,500 = 10.56%
Total capital ratio = 2,251,000/$17,403,500 = 12.93%