Compute net worth ratio and debt-to-equity ratio


Question 1. Suppose a bank’s balance sheet is summarized as follows.

Assets                                                      Liabilities
Fixed-Rate Asset             $70 million           Fixed-Rate Liabilities        $20 million
Rate-Sensitive Asset        $30 million           Rate-Sensitive Liabilities   $40 million   
                  
a. Compute net worth ratio and debt-to-equity ratio.

b. Assume the interest rate increases from 4% to 6%. According to Gap analysis, what will be the change in the bank’s profit due to the increase in the interest rate?

Question 2. Suppose a bank’s balance sheet is summarized as follows. Assume that an average duration of fixed rate assets is 4 years and an average duration of fixed rate liabilities is 2 years. Suppose the interest rate decreases from 10% to 5%.

Assets                                         Liabilities
Fixed-Rate Asset       $80 million    Fixed-Rate Liabilities       $50 million

a. According to Gap analysis, what will be the change in the bank’s profit due to the decrease in the interest rate?

b. According to Duration analysis, what will be the resulting net worth of the bank due to the decrease in the interest rate?

Question 3. There was a loophole in the Banking Holding Act of 1956 with respect to branching restrictions. What was it?

Question 4. What is monetary base?

Question 5. What will happen to a bank’s balance sheet if you open a $100 checkable deposit account in the bank?

Question 6. Suppose there are two possible states of world: state A and state B. State A occurs with probability 0.6 and state B occurs with probability 0.4. Consider a following asset. Compute the asset’s expected return and standard deviation.

                          State A     State B
Asset’s return        $100         $20
Probability              0.6          0.4

Question 7. Suppose there are two assets, asset 1 and asset 2, and two possible states of world, state A and state B. State A occurs with probability 0.4 and state B occurs with probability 0.6. If half of your portfolio is asset 1 and half of your portfolio is asset 2, what are the portfolio’s expected return and standard deviation?

    State A    State B
Asset 1’s return    $50    $100
Asset 2’s return    $80    $40
Probability    0.4    0.6

Question 8. Suppose there are three possible states of world: state A, state B, and state C. Suppose there are three assets: asset 1, asset 2, and asset 3. State A occurs with probability 0.4, state B occurs with probability 0.5, and state C occurs with probability 0.1. You will construct a portfolio by combining these three assets to attain zero risk (i.e., standard deviation of your portfolio will be zero). Compute a proportion of each assts in your portfolio.

                         State A      State B      State C
Asset 1’s return    $200           $0             $0
Asset 2’s return    $0             $100           $0
Asset 3’s return    $0               $0           $400
Probability           0.4              0.5           0.1

Question 9. Suppose a required reserve ratio is 20%. What will be a simple deposit multiplier?

Question 10. List items on the asset side of the Fed’s balance sheet.

Question 11. List items on the liability side of the Fed’s balance sheet.

Question 12. What is the difference between the payoff and the purchase methods of handling failed banks?

Question 13. List entities of the Federal Reserve System.

Question 14. List the three major monetary policy tools available for use by the Federal Reserve and the advantages and disadvantages of each tool.  Which of these tools does the Fed use most often?

Question 15. What is regulation Q? Which act did impose it? Which act did phase out it?

Question 16. Which act did prohibit banks from branching across state lines? Which act did overturn it?

Question 17. What is the discount rate? What is the federal funds rate?

Question 18. What is Eurodollar? What is Edge Act corporation? What are international banking facilities (IBFs)?

Question 19. What is securitization?

Question 20. What are junk bonds? What are fallen angels?

Question 21. What does the Office of Thrift Supervision do? What does the Savings Association Insurance Fund do?

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Microeconomics: Compute net worth ratio and debt-to-equity ratio
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