Name _____________________ Student ID _____________________ Final Exam Economics 333 Money and Banking December 18, 2008 The exam is scheduled for 3 hours from 8:30-11:30. Write all answers on this exam paper. Do not hand in your blue books. Multiple Choice (2 points each) 1. The price of a 1 year discount bond with a face value of 100 has a price of 90. We also see the price of a 2 year discount bond is greater than 90. Assuming that expectations theory of the term structure is true, we can say a. The yield on 1 year bonds is greater than the yield on two year bonds and the market expects the 1 year interest rate to be negative next year. b. The yield on 1 year bonds is greater than the yield on two year bonds and we need more information to tell if the market expects the 1 year interest rate to be negative next year. c. We need more information on whether the yield on 1 year bonds is greater than the yield on two year bonds and the market expects the 1 year interest rate to be negative next year. d. We need more information on whether the yield on 1 year bonds is greater than the yield on two year bonds and we need more information to tell if the market expects the 1 year interest rate to be negative next year. ________________ 2. The bond traders of the US Federal reserve may engage in an open market sale of government bonds as a. dynamic transactions to reduce the interest rate or defensive transactions in response to an increase in the demand for reserves b. dynamic transactions to reduce the interest rate or defensive transactions in response to a decrease in the demand for reserves c. dynamic transactions to increase the interest rate or defensive transactions in response to an increase in the demand for reserves d. dynamic transactions to increase the interest rate or defensive transactions in response to a decrease in the demand for reserves ________________ 1 3. Purchasers of bonds become much more thrifty and decide to increase their savings. At the same time, the government budget deficit increases. We can say, a. The price of government bonds will clearly decrease while the change in the quantity of bonds will be ambiguous. b. The price of government bonds will clearly increase while the change in the quantity of bonds will be ambiguous. c. The quantity of government bonds will clearly decrease while the change in the price of bonds will be ambiguous. d. The quantity of government bonds will clearly increase while the change in the price of bonds will be ambiguous. ________________ 4. Which of the following is not a part of M2 in Hong Kong? a. Time deposits at commercial banks with maturities greater than 1 year b. Checking deposits at commercial banks c. Exchange Fund Bills held by banks d. Currency in Circulation ________________ 5. The currency-to-deposit ratio will rise when a. the fear of bank runs declines. b. the expected return on deposits rises. c. the anonymity premium declines. d. the level of underground activity increases. ________________ 6. Which of the following statements (choose one) is a true description of a difference between the operation of the Hong Kong central bank and the operation of the Federal Reserves: a. A major asset of the Federal Reserve is US government bonds; a major asset of the HKMA is Hong Kong government bonds. b. A major liability of the Federal Reserve is US government bonds; a major asset of the HKMA is Hong Kong government bonds. c. A major asset of the Federal Reserve is US government bonds; a major liability of the HKMA is Hong Kong government bonds. d. A major liability of the Federal Reserve is US government bonds; a major liability of the Hong HKMA is Hong Kong government bonds. ________________ 2 7. Which of the following is NOT a strategy for building an independent central bank? a. Long terms of office for central bank decision makers b. Decision making by committee. c. Monetary policy decisions not subject to review by Finance ministry. d. Central bank keeps revenue from check clearing. ________________ 8. Which of the following is NOT a way that monetary policy has changed in the USA this year? a. The Federal Reserve has begun purchasing mortgage backed securities. b. The Federal Reserve has reduced the spread between the discount window rate and the funds rate. c. The Federal Reserve has increased the required reserve ratio for bank holding companies. d. The Federal Reserve has begun paying interest on reserves. ________________ 9. Which of the following is not a way that competition in the Hong Kong banking sector was limited in the past? a. Mainland Chinese banks were not allowed to operate in Hong Kong b. The deposit interested rate was regulated by a cartel. c. Foreign bank branch networks were limited in size d. There was a thirty year moratorium on issuing new banking licenses. ________________ 10. Which of the following is NOT an example of adverse selection? a. A family with a home ten feet from a large river buys flood insurance. b. A company uses the proceeds of a new stock sale to build an unnecessarily luxurious new headquarters. c. A terminal cancer patient buys life insurance. d. A company in serious financial trouble offers to pay you 30% on a loan. ________________ 3 Short Answer 11. (2 points) Name 4 parts of the monetary liabilities of the Hong Kong Monetary Authority. Classify them as either currency (C) or reserves (R). Monetary Liabilities Classification 1 2 3 4 12. (3 points) The central bank observes that the price of gold has been rising rapidly. The central bank decides that it would like to sell $100 worth of its reserves of gold to a bank in the local banking system. However, the central bank does not want to change the money supply but will instead sterilize the gold market intervention with an open market operation that will keep the monetary base constant. Use the following T-account of the Central Bank’s balance sheets to describe the transactions. Include the gold market sale and the open market operation in your T-account. 4 13. (5 points) A bank with no excess reserves faces a 10% reserve requirement. A depositor withdraws some $100 cash from their checking account. The reserve requirement implies that the bank must replenish its reserves. How much in reserves does the bank need to acquire? The bank believes the decline in deposits is temporary so the bank does not want to call in any loans. Using T-accounts, describe two strategies for replacing these reserves. Strategy A Strategy B 5 14. (3 points) You find that today, the yield to maturity on Exchange Fund discount notes with a maturity of 5 years is 4% (it5 = .04) and the yield on Exchange Fund discount bills with a maturity of 1 year is 2% (it1 = .02). Use the expectations theory of the term structure to solve for the market’s expectation of the yield on 4 year bonds that will prevail next year. 15. (4 points) The price of a two year discount US$, Treasury bond with a face value of 100 is 95. The price of a two year discount New Zealand dollar government bond with a face value of 100 is 90. The current spot exchange rate is 1.72 NZ$ per US dollar. Assume that covered interest parity is true. What is the price of a two year forward contract to sell New Zealand dollars in exchange for US dollars? 16. (4 points) The price of a two year discount US$, Treasury bond with a face value of 100 is 95. The price of an inflation protected security with a notional face value of 100 has a price of 101. Assume that buyers of bonds pay no inflation risk premium. Calculate a measure of the ex ante real interest rate and the expected inflation rate over the next two years. 6 17. (3 points) What is the price of a coupon bond that has annual coupon payments of $90, a face value of $1000, a yield to maturity of 10%, and a maturity of two years? 18. (3 points) Currency outstanding equals $500 million, checkable deposits equal $2 billion, reserves equal $200 million, and the required reserve ratio is 0.075. Calculate the M1 multiplier and excess reserves. 19. (3 points) A bond portfolio contains 3 discount bonds with face values of 100. One has a maturity of the 1 year, another has a maturity of two years, and the third has a maturity of three years. Each bond has a yield of 10%. Calculate the present value of the portfolio and the duration of the portfolio. 7 20. (3 points) A historical database shows that the average growth rate of dividends is 5.1% per year. The average interest rate i is 5.8%. The average level of dividends Dividendst to prices is 2.1%. Assuming an interest rate and dividend growth Equity Pricest rate at these levels, what is the average equity premium? 21. (2 points) You are an assistant of the finance minister of South Africa. Currently, South African monetary policy is set in terms of an intermediate target that targets a certain quantity of M2. Your minister advocates switching to an inflation target. Describe two advantages of an inflation target. A. B. 22. (2 points) Because of past currency instability, many customers of a bank in Indonesia would like to hold their deposits in US dollars. Name two strategies for the bank to manage exchange rate risk. A. B. 8 23. (3 points) Describe a CMO and a CDO. 24. (3 points) An important principle of managing credit risk is diversification. Name two sound strategies for making profitable loans that might clash with diversification? How might a bank overcome this clash? A. B. 25. (2 points) Describe the key restriction that the banking regulator puts on the management of liquidity by banks in Hong Kong. Describe the key restriction that the banking regulator puts on the management of capital by banks in Hong Kong. a. Liquidity Requirement b. Capitalization Requirement 9 26. (7 points) Do a peer analysis of two banks, bank A and bank B using the following balance sheets. Balance Sheet Bank A Bank B Cash Government Bills Gross Loans Loan Loss Reserves 5 20 75 3 10 30 60 5 Debt to Other Banks Savings Deposits 20 60 40 40 A. Compare the capitalization of Bank A and Bank B. Which bank has a safer equity multiplier? B. Compare the credit risk of the bank. Offer two measures along which Bank A has greater credit risk C. Compare the liquidity of the two banks. Offer one measure along which Bank A has more liquidity risk and another measure along which Bank B has more liquidity risk. 10 27. (4 points) Attached are the consolidated balance sheets and profit and loss accounts of a local bank, DBS (Hong Kong). Calculate the ROA, ROE and the equity multiplier for this bank. Calculate the fraction of operating income that comes from interest income. 2007 ROA ROE EM Fraction of Operating Income from Interest 28. (3 points) A duration analysis suggests that the duration of the banks liabilities is dL = .5 and the duration of the banks assets is dA = 2.5. Suppose that interest rates at the time the balance sheets were constructed were 2%. Now, they are 1%. Calculate the change in net worth, ΔNW that would be caused by such a change in interest rates. . 11 29. (4 points) There are two types of bonds which we might call creampuffs and lemons. The fraction of the bonds that are lemons is p and the fraction of the bonds that are creampuffs is (1-p). Investors would knowingly buy a lemon if the price was 1000 or less and would buy a sure creampuff if the price was 2000 or less. Sellers of lemon bonds are willing to sell them as long as they can get a price of 500 while they would demand a price of 1600 for a creampuff. Assume that bond buyers are bad bargainers, so bonds always sell at the maximum price that buyers are willing to pay. Assume that sellers know the type of the bond they are selling, but buyers only know the fraction p but are unable to distinguish lemons from creampuffs beyond that. What is the maximum level of p at which adverse selection would not destroy the market for creampuffs? 12 30. (4 points) An entrepreneur wants to borrow money at a 10% interest rate to start a fashion business which has $10,000 in start-up costs. He has access to two business plans. One is safe and will generate $12,000 with 100% probability. The other is risky and will generate $5,000 or $15,000 each with equal probability. The lender demands that the entrepreneur put up some collateral. The income of the entrepreneur will be the negative of the amount of collateral, if they default on the debt. What is the minimum amount of collateral the lender should demand to induce the entrepreneur to undertake the safe plan? 13 31. (5 points) Both Korea and Hong Kong have faced a negative business cycle demand shock. Korea operates a monetary policy that operates according to the Taylor principle. Draw a graph that illustrates the different response of Korea and Hong Kong to such a shock. Give a brief explanation of the differences. π Potential GDP π GDP 14 32. (4 points) The US Federal Reserve just announced a plan to increase purchases of mortgage back securities. Demonstrate the impact of this on the US Fed Funds rate with a graph of the market for reserves. iFF Reserves 33. (4 points) The US cuts its interest rate. Draw a picture of how this might affect the Australian forex market and spot rate. S Forex 15