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Which yield curve theory is based on the premises that financial instruments of different terms are not substitutable and therefore the supply and demand in the markets for short-term and long-term instruments is determined largely independently?

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The expectation hypothesis.

All of these answers.

The segmented market hypothesis.

The liquidity premium theory.

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Hubert Koch
Hubert KochLv2
29 Sep 2019

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Maria Juarez is a professional tennis player, and your firm manages her money. She has asked you to give her information about what determines the level of various interest rate. Your boss has prepared some questions for you to consider.

a) What are the four most fundamental factors that affect the cost of money, or the general level of interest rate, in the economy?

b) What is the real risk-free rate of interst (r*)and the nominal risk-free rate (r RF)? How are these two rates measured?

c) Define the term inflation premium(IP), default risk premium (DRP), liquidity premium (LP),and the maturity risk premium(MRP). Which of premium is included in determining the interst rate on (1)Short term U.S Treasury securities, (2)Long term U.S Treasury securities, (3)short term corporate securities, (4) long term coporate securities? Explain how the premiums would vary over time and among the different securities listed.

d) What is the term structure of interest rate? What is the yield curve?

e)Suppose most investors expect the inflation rate to be 5% next year, 6% the following year, and 8% thereafter. The real risk free rate is 3%. The maturity risk primium is zero for bonds that mature in 1 year or less and 0.1% for 2 years bonds; then the MRP increases by 0.1% per year thereafter for 20 years, after which it is stable. What is the interest on 1-,10-, and 20-year treasury bonds? Draw a yield curve with these data. What factor can explain why this constructed yield curve is upward-sloping?

f) At any give time, how would the yield curve facing a AAA rated company compare with the yield curve for U.S Treasury securities? At any given time, How would the yield curve facing a BB rated company compare with the yield curve for U.S treasury securities? Draw a graph to illustrat your answer.

g) What is the pure expectations theory? What does the pure expectation theory imply about the term structure of interest rate?

Nominal Interest Rates and Yield Curves: A recent study of inflationary expectations has revealed that the concensus among economic forecasters yields the following average annual rates of inflation expected over the periods noted. (Note: Assume that the risk that future interetst rate movements will affect the longer maturities more than the shorter maturities is 0; that is, assume that there is no maturity risk)

Period

Avg Annual Rate of Inflation
3 Months 5%
2 Years 6%
5 Years 8%
10 Years 8.5%
20 Years 9%

A) If the real rate of interest is currently 2.5%, find the nominal rate of interest on each of the following U.S. Treasury issues: 20-year bond, 3-month bill, 2-year note, and 5 year bond

B) If the real rate of interest suddenly dropped to 2% without any change in inflationary expectations, what effect, if any, would it have on your answers in part a? Explain

C) Using your findings in part a, draw a yield curve for U.S. Treasury securities.

D) What would a follower of the liquidity preference theory say about the preferences of lenders and borrowers tend to affect the shape of the yield curve drawn in part C? Illustrate that effect by placing on your graph a dotted line that approximates the yield curve without the effect of liquidity preference

E) What would a follower of the market segmentation theory say about the supply and demand for long term loans versus the supply and demand for short term loans given the yield curve constructed for part C of this problem?

Thanks for the help! :)

PROBLEMS, GRAPGHING

1. Suppose a candidate who runs on a platform of “soak the rich” wins the 2016 presidential election. After being elected, he or she persuades Congress to raise the top marginal tax rate on the federal personal income tax to 65%.

a. Use one graph to show the effect of this change in tax rates on the market for municipal bonds and another graph to show the effect on the market for U.S. Treasury bonds.

b. What happened to the interest rate spread between municipal bonds and U.S. Treasury bonds and why?

Suppose that, holding yield constant, investors are indifferent as to whether they hold bonds issued by the federal government or bonds issued by state or local governments (they consider the bonds the same with respect to default risk and liquidity). Suppose that state government issued console with $60 annual payments and that the federal government has also issued console with $60 annual payments.

a. If the federal and state consoles have both the same after-tax yields of 6%, what are their pretax yields? (Assume that the federal income tax rate is 36%)

2. Suppose it is 2020 and 1-year interest rate is 5 percent. You observe that the interest rate on 2-year bond is 4.5%. Assume there is no liquidity premium and the interest rates are determined according to expectation hypothesis of the yield curve

a. Based on the interest rates above, what is the expected 1-year interest rate, starting one year from today?

b. If the interest rate on 3-year bond is 4%., what is the expected 1-year interest rate starting 2 years from today?

c. If the interest rate on 4-year bond is 4%., what is the expected 1-year interest rate starting 3 years from today?

d. Draw the yield curve for the next four years.

e. Is the yield curve for the next four years upward sloping or downward sloping? Explain why

f. What might the yield curve today indicate about future interest rates?

g What might the yield curve today indicate about future economic activity? Explain why?

h. What might the yield curve indicate about the markets’ prediction for inflation rate in the next four years?

i. What might the yield curve indicate about monetary policy today?

j. What might the yield curve indicate about a long-term bonds price? Expected return on long-term bonds? Explain

k. Given the slope of the yield curve today, would you rather be lender or borrower in the next five years? Why?

3. The following is from an article in the Wall Street Journal, describing events in the market for Treasury securities on the given day: “Treasury prices were mixed, with the shorter end of the yield curve falling and the longer- dated Treasury rising in prices”.

a. Draw Treasury yield curve, showing the situation on that day as described in the sentence above.

Explain why prices of Treasury were mixed with the shorter end of the yield curve rising in prices and the longer- dated Treasury falling in prices.

Given the latest data on the state of the U.S. economy, assume that the Fed signals the next increase in the target for the federal funds. The increase won’t happen until the Fed’s meeting in summer of 2016.

Will the Treasury yield curve become more or less steep today?

Which of the following would you expect in the market for Treasury? Explain your choice

- There will be an increase in demand for bond today?

There will be a decrease in supply of bonds today?

There will be a decrease in demand for bonds today?

There will be an increase in supply of bonds today?

What will happen to the yields on Treasury? Explain

4. The table below shows current and expected future one-year interest rates, as well as current interest rates on n-year bonds

Year One-year Bond Rate N-Year Bond Rate Liquidity premium

1 2% 2% _______

2 3% 3% _______

3 4% 5% _______

4 6% 6% _______

5 7% 8% _______

Assume the expectation theory of the term structure and calculate interest rates in the term structure for maturities of one to five years.

Draw the yield curve for the next four years.

Is the yield curve for the next four years upward sloping or downward sloping? Explain why

What might the yield curve today indicate about future interest rates?

What might the yield curve today indicate about future economic activity? Explain why?

What might the yield curve indicate about the markets’ prediction for inflation rate in the next four years?

Calculate the liquidity premium for each n-year bond

What does the liquidity premium stay for?

Compare the liquidity premium in 2-year bond and 5-year bond. Why is the liquidity premium on 2-year bond lower than the liquidity premium on 5-year bond?

5. A Suppose that you are the manager of the Bank One. Assume required reserve ratio 10 percent. The bank has the following balance sheet:

Assets Liabilities

Reserves $ 65 million Deposits $ 400 million

Loans $ 425 million Bank capital $ 90 million

Is Bank One meeting the reserve requirement?

By how much can Bank One increase its loans?

Suppose Bank One suffers a deposit outflow of $40 million .Illustrate numerically the effect of the deposit outflow of $40 million on the bank’s deposits and reserves

Does the bank now hold excess reserves?

Is the bank meeting a required reserve ratio of 10 percent?

What action must you take to meet the reserve requirement? List three or more actions. work

If a borrower defaults on a loan of $10 million, will be the bank able to sustain the loss?

Why no, why yes?

If Bank One ROA is 7%, what is the bank profit? What is the bank ROE?

How can you increase the bank’s ROE, what trade –off do you face?

6. Suppose that you are the manager of the Bank One that has $30 million of fixed assets, $20 million of variable interest rate assets, $15 million of fixed liabilities and $25 million of variable interest rate liabilities.

a. Is the rate sensitivity gap positive or negative? Explain

b. Explain verbally and show numerically what will happen to the bank profits if interest rates rise by 4 percent.

c. What action would you take to reduce the bank’s interest-rate risk? Explain

d. Explain and show numerically what happens to the bank profit if interest rates fall by 4 percent

e. What action would you take to reduce the bank’s interest-rate risk? Explain

f. Given the bank assets and liabilities explain how you can use the interest rate swaps to reduce the bank interest rate risk. Would you trade variable- rate payments for fixed- rate payment? Why yes, why not?

7. Assume the following information about the banking system

Quantities in billions of dollars

Currency (C) = $762

Excess Reserves ( R ) = $66

Required reserves (RR) = $0

Checking deposits (D ) = $604

Give the numerical answer to the following questions:

a. What is the size of the monetary base?

b. What is the money supply in the economy?

c. What is the size of the money multiplier?

Assume that the currency to deposit ratio rises to 1.5

a. Compute the effect of the change in currency ratio on the money multiplier, m

b. What will be the money supply now given the monetary base?

If the Fed wants to keep the money supply at the initial level in part b, how must the Fed respond? Explain

Would the Fed adjust the money multiplier, the monetary base or both to keep the money supply at the initial level?

How much would the Fed buy or sell in the government bonds to keep the money supply at the initial level?

8. Assume that the MB = $828, Money supply = $1366, Currency in the circulation = $ $762, Deposit = $$604, the currency to deposits ratio c is 1.262, the excess reserve ratio is 0.109, the required reserve ratio is 0, and the money multiplier m= 1.650. The non-bank public shifts $40B from currency to deposits, and the Fed wishes to keep the money supply at the level of $1366 B. Explain verbally and show numerically the effect of the currency shift on the following

a. The level of reserves in the banking system

b. The monetary base

c. The size of the money multiplier

d. How should the Fed respond given his goal of keeping the money supply at the level of $1366? Explain

e. How much in the government bonds should the Fed buy or sell to keep the money supply at the level of $1366?

9. Use the graph of the market for reserves to analyze each of the following situations. Be sure that your graph clearly shows changes in the equilibrium federal funds rate, changes in the equilibrium level of reserves, any shifts in the demand and supply curves, and any change in equilibrium federal funds rate

Suppose that the Fed decides to increase the federal funds rate from 2%to 2.25%. Show graphically and explain verbally what policy tools the Fed can use to bring the change in the federal funds rate.

Suppose that the Fed decides to decrease the federal funds rate from 2.25%to 2.%. Show graphically and explain verbally what policy tools the Fed can use to bring the change in the federal funds rate.

Suppose that banks increase their demand for reserve. Show graphically and explain verbally how the Fed can offset this change in order to keep the equilibrium federal funds rate unchanged

Suppose there is a switch from currency into deposits, everything else held constant. Show graphically and explain verbally how the Fed can offset this change in order to keep the equilibrium federal funds rate unchanged

Suppose that the Fed decides to decrease the required reserve ratio. Show graphically and explain verbally how the Fed can offset this change in order to keep the equilibrium federal funds rate unchanged.

f. Suppose that banks decrease their demand for reserves. Show graphically and explain

verbally how the Fed can offset this change in order to keep the equilibrium federal funds

rate unchanged.

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