In: Finance
The financial crisis compelled banks to reduce their leverage sharply. Consider the following two views of the balance sheet of a bank before and after the financial crisis.
Bank Balance Sheet: View 1 (in millions) | Bank Balance Sheet: View 2 (in millions) | |||
Assets | Liabilities | Assets | Liabilities | |
Reserves $30 | Deposits $800 | Reserves $30 | Deposits $200 | |
Loans $820 | Other borrowed funds $90 | Loans $820 | Other borrowed funds $600 | |
Securities $150 | Bank capital $110 | Securities $150 | Bank capital $90 |
Calculate the leverage ratios for each view.
Instructions: Enter your responses rounded to two decimal places.
View 1: Leverage ratio =
View 2: Leverage ratio =
Which balance sheet view is more likely to be that of the bank after the financial crisis?
View 2
View 1
Solution :
The leverage ratio of a bank is calculated using the formula
Leverage Ratio = Total assets / Bank capital
Calculation of Leverage ratio of View 1 :
As per the information given in the question with respect to view 1 we have
Total assets = Reserves + Loans + Securities
Thus total Assets = $ 30 + $ 820 + $ 150 = $ 1,000
Bank Capital = $ 110
Applying the above values in the Leverage Ratio formula we have
= $ 1,000 / $ 110
= 9.0909
= 9.09 ( when rounded off to two decimal places )
Thus the Leverage Ratio of View 1 = 9.09
Calculation of Leverage ratio of View 2 :
As per the information given in the question with respect to view 2 we have
Total assets = Reserves + Loans + Securities
Thus total Assets = $ 30 + $ 820 + $ 150 = $ 1,000
Bank Capital = $ 90
Applying the above values in the Leverage Ratio formula we have
= $ 1,000 / $ 90
= 11.1111
= 11.11 ( when rounded off to two decimal places )
Thus the Leverage Ratio of View 2 = 11.11
As per the information given in the question the financial crisis compelled the banks to reduce their leverage sharply.
Thus the Balance sheet: view 1, with the lower leverage ratio of 9.09, is more likely to be the bank after the financial crisis, which was compelled to reduce its leverage sharply.
Thus the solution is View 1.