Chapter 15
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Finance
Date
Jan 9, 2024
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1.
Award: 10.00
points
Problems? Adjust credit for all students.
Under the expectations hypothesis, if the yield curve is upward-sloping, the market must expect an increase in short-term interest rates.
True
Explanation:
True. Under the expectations hypothesis alone, there are no risk premia built into bond prices. The only reason for long-term yields to exceed short-term yields is an expectation of higher short-term rates in the future.
Worksheet
Difficulty: 1 Basic
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static
References
2.
Award: 10.00
points
Problems? Adjust credit for all students.
Under the liquidity preference theory, if inflation is expected to be falling over the next few years, long-term interest rates will be higher than short-term rates.
Uncertain
Explanation:
Uncertain. Expectations of lower inflation will usually lead to lower nominal interest rates. Nevertheless, if the liquidity premium is sufficiently great, long-term yields may exceed short-term yields despite
expectations of falling
short rates.
Worksheet
Difficulty: 1 Basic
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static
References
3.
Award: 10.00
points
Problems? Adjust credit for all students.
If the liquidity preference hypothesis is true, what shape should the term structure curve have in a period where interest rates are expected to be constant?
Upward sloping
Explanation:
The liquidity theory holds that investors demand a premium to compensate them for interest rate exposure and the premium increases with maturity. Add this premium to a flat curve and the result is an upward sloping yield
curve.
Worksheet
Difficulty: 1 Basic
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static
References
4.
Award: 10.00
points
Problems? Adjust credit for all students.
Which of the following is true
according to the pure expectations theory? Forward rates
exclusively represent expected future short rates.
Explanation:
The pure expectations theory, also referred to as the unbiased expectations theory, purports that forward rates are solely a function of expected future spot rates. Under the pure expectations theory, a yield curve that is upward
(downward) sloping, means that short-term rates are expected to rise (fall). A flat yield curve implies that the market expects short-term rates to remain constant.
Worksheet
Difficulty: 1 Basic
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static
References
5.
Award: 10.00
points
Problems? Adjust credit for all students.
Assuming the pure expectations theory is correct, an upward-sloping yield curve implies
interest rates are expected to increase in the future.
Explanation:
The yield curve slopes upward because short-term rates are lower than long-term rates. Since market rates are determined by supply and demand, it follows that investors (demand side) expect rates to be higher in the future
than in the near-term.
Worksheet
Difficulty: 2 Intermediate
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static
References
6.
Award: 10.00
points
Problems? Adjust credit for all students.
The following is a list of prices for zero-coupon bonds of various maturities.
Maturity (years)
Price of Bond
1
$ 943.40
2
898.47
3
847.62
4
792.16
Required:
a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments.
b. Calculate the forward rate for (i) the second year; (ii) the third year; (iii) the fourth year. Assume annual coupon payments.
Required A
Required B
Complete this question by entering your answers in the tabs below.
Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four
years. Assume annual coupon payments.
Note: Do not round intermediate calculations. Round your answers to 2 decimal places.
Required A
Required B
$
$
$
$
Maturity (Years)
Price of Bond
YTM
1
943.40
6.00
%
2
898.47
5.50
%
3
847.62
5.67
%
4
792.16
6.00
%
Explanation:
a. Zero-coupon bond YTM
b. Forward rate
(
1.0550
2
÷ 1.0600) − 1 = 5%
(
1.0567
3
÷ 1.0550
2
) − 1 = 6%
(
1.0600
4
÷ 1.0567
3
) − 1 = 7%
Worksheet
Difficulty: 2 Intermediate
Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static
References
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Related Questions
4. Given a real rate of interest of 3.2%, an expected inflation premium of 5.1%, and risk premiums for investments A and B of
7.4% and 8.9% respectively, find the following:
a. The risk-free rate of return, r;
b. The required returns for investments A and B
Review Only
Click the icon to see the Worked Solution.
a. The risk-free rate of return is
%. (Round to one decimal place.)
b. The required return for investment A is
%. (Round to one decimal place.)
The required return for investment B is
%. (Round to one decimal place.)
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Which of the following is consistent with the pure expectations theory of the yield curve? Check all that apply.
A downward-sloping yield curve suggests that the market thinks interest rates in the future will be higher than they are today.
✓ A downward-sloping yield curve suggests that the market thinks interest rates in the future will be lower than they are today.
A flat yield curve suggests that the market thinks interest rates in the future will be the same as they are today.
A flat yield curve suggests that the market thinks interest rates in the future will be higher than they are today.
Maria would like to invest a certain amount of money for two years and considers investing in a one-year bond that pays 6 percent and a two-year
bond that pays 9 percent. Maria is considering the following investment strategies:
Strategy A: In the first year, buy a one-year bond that pays 6 percent. Once that bond matures, buy another one-year bond that pays
the forward rate.
Strategy B: In the…
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1) a. You approach your broker to borrow money against securities held in your portfolio. Eventhough the loan will be secured by the securities in your portfolio, the broker's rate for lending tocustomers is 5 percent. Assuming a risk-free rate of 4 percent and an expected market return of 11percent with a standard deviation of 15 percent, draw the capital market line related to yourinvestment opportunities.
b. Estimate your expected return and risk if you invest 20 percent of your portfolio in the risk-freeasset. What if you decide to borrow 20 percent of your initial wealth and invest the money in themarket?
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Which of the following statements is CORRECT about the yield curve?
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4
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Derive the inverse relationship between Price and
Yield in debt markets using a property-based
example where the market price doubles in value but
ultimately falls by one third of the initial price and
where the initial rental yield is 6%. Include an
explanation or commentary along with your
calculations and proof.
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What does WRF = -0.50 mean?
Group of answer choices
The investor can borrow money at the risk-free rate.
The investor can lend money at the current market rate.
The investor can borrow money at the current market rate.
The investor can borrow money at the prime rate of interest.
The investor can lend money at the prime rate of interest.
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i need the answer quickly
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If we assume that investor can borrow at risk-free interest rate, then the efficient frontier is
1) AB
2) MV-B
3) Rf-T-A
4) Rf-T-B
5) Rf-T-L
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What can you tell just by looking at the above yield curve?
Group of answer choices
An expectation of falling interest rates suggests trouble in the economy, a rise in bond prices, and a decline for stocks.
The economy is expected to do well in the short-run.
A correction in bond prices is expected.
Bond prices are expected to decline and so the stock market should do extremely well.
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This is part a) question and it's answer in order to answer part b) question
Question: You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today?
answer : According to the question we need to calculate the current price of the perpetual consol. Perpetual consoles are priced differently because their expected income is spread through an indefinite period. So, perpetual consoles are priced using the current yield.
The current yield is calculated as:- coupon amountMarket price×100coupon amountMarket price×100
After calculating the current yield price is calculated by the above formula where,
i = Current interest rate
y = yield
so, the price of this consol will be
Price = i/y
I please need the solutions for part b)
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(a) Can security A exist in the market? (Hint: Security market line) If yes, compute risk
premium on security A. If not, is this security underpriced or overpriced?
Expected return
5%
Asset
Beta
Risk-free
Market
12%
1
A
15%
1.3
(b) Can security B exist in the market? (Hint: Security market line) If yes, compute risk
premium on security B. If not, is this security underpriced or overpriced?
Expected return
6%
Asset
Beta
Risk-free
Market
13%
16.5%
1
1.5
Suppose the expected cash flow can be collected from investment in security B is $1000
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in the above table. Then how much more/less (you also need to select "more" or "less") will
he offer for the firm than it is truly worth at time 0? Hint: the present value of the cash…
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Start a New Thread
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4. Given the expectations theory as the correct interpretation of the term structure, calculate
and depict the yield curves for the provided series of one-year interest rates:
5%, 7%, 7%, 7%, 7%
5%, 4%, 4%, 4%, 4%
a.
b.
How would your yield curves change if people preferred shorter-term bonds over longer-
term bonds?
Solution:
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22. If the expectations theory of the term structure of interest rates is correct, and if the otherterm structure theories are invalid, and we observe a downward sloping yield curve, which ofthe following is a true statement?a.Investors expect short-term rates to be constant over time.b.Investors expect short-term rates to increase in the future.c.Investors expect short-term rates to decrease in the future.d.It is impossible to say unless we know whether investors require a positive ornegative maturity risk premium.e.The maturity risk premium must be positive
23. Other things held constant, which of the following will not affect the quick ratio? (Assumethat current assets equal current liabilities.)a.Fixed assets are sold for cash.b.Cash is used to purchase inventories.c.Cash is used to pay off accounts payable.d.Accounts receivable are collected.e.Long-term debt is issued to pay off a short-term bank loan.
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This is the entire question!
Just answer A,B,C (Don't worry about the numbers for A&B) and answer the rest of the question.
Complete the following table by identifying the appropriate corresponding variables used in the equation.
Unknown
Variable Name
A
(Bond Semi coupon annul payment, annual coupon payment,Bonds market price)
B
(Bond's semi coupon, annual coupon payment,par value)
$1,000
C
Semiannual required return
Based on this equation and the data, it is (unreasonable,reasonal) to expect that Oliver’s potential bond investment is currently exhibiting an intrinsic value less than $1,000.
Now, consider the situation in which Oliver wants to earn a return of 6.75%, but the bond being considered for purchase offers a coupon rate of 8.75%. Again, assume that the bond pays semiannual interest payments and has three years to maturity. If you round the bond’s intrinsic value to the nearest whole dollar, then its intrinsic value…
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Description
Please use the examples provided here to work on the following two
problems (show your work):
Problem 1:
The real rate of interest is currently 2%; the inflation expectation an
premiums for a security are shown below.
Inflation expectation premium
5%
Risk premium
4%
Find the risk-free rate of interest, RF, that is applicable to the
security.
b.
a.
Find the nominal rate of interest for the security.
Droblo m 3:
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8. An easy way to calculate the cost of debt is to:
A Observe the rate of a similar issued bond that was recently issued
B determine the beta for the firms debt and use the SML to determine the requires return.
C Ask your neighbor who works at the JPMorgan bond desk.
D Use the Divendend Growth Model
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Question 1)
Federico wants to calculate the expected rate of return for security for his work as a freelance
investment banker. He has the following figures to calculate CAPM: the risk-free interest rate is
4%, the expected return of the market is 17%, and the risk index of the security is 1.40.
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Exploring Finance: The Security Market Line and Inflation Changes
Security Market Line: Inflation Changes
Conceptual Overview: Explore how inflation changes the security market line.
The Security Market Line defines the required rate of return for a security to be worth buying or holding. The line, depicted in blue in the graph, is the sum of the risk-free return (rf in the slider) and a risk premium determined by the market-risk premium (RPM) multiplied by the security's beta coefficient for risk. Drag the slider below the graph to change the amount of the risk-free return. These changes reflect changes in inflation. Drag left or right on the graph to move the cursor to evaluate securities with different beta coefficients. In this graph, the market-risk premium is fixed at 5%.
r = r_{RF} + RP_M * beta = 6\% + 5\% * 1 = 6\% + 5.00\% = 11.00\%r=rRF+RPM∗beta=6%+5%∗1=6%+5.00%=11.00%
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A. Is it reasonable to assume that treasury bonds will provide higher returns in recessions than in booms?
B. Calculate the expected rate of return and standard deviation for each investment.
C. What investment would you prefer?
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O A. Interest rates would increase because real estate would have a relatively lower rate of return compared
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B. Interest rates would increase because real estate would have a relatively higher rate of return compared
to bonds, which would cause the demand for bonds to decrease.
OC. Interest rates would decrease because real estate would have a relatively higher rate of return compared
to bonds, which would cause the demand for bonds to decrease.
O D. Interest rates would decrease because real estate would have a relatively lower rate of return compared
to bonds, which would cause the demand for bonds to increase.
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