Week 1 HW
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DeVry University, Keller Graduate School of Management *
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Feb 20, 2024
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Uploaded by ChiefFogGrasshopper31
Irene Cooper 1/7/2024
HW- Week 1
Chapter 2
Problems 1, 2, 18, 19 and 26 (pp 57-58)
1.
A particular security’s equilibrium rate of return is 8 percent. For all securities, the inflation risk premium is 1.75 percent and the real risk-free rate is 3.5 percent. The security’s liquidity risk premium is 0.25 percent and maturity risk premium is 0.85 percent. The security has no special covenants. Calculate the security’s default risk premium. (LG 2-6)
Default Risk Premium= Rate of Return - Inflation rate- real rate - Liquidity Risk- Majority Risk
Rate of Return
8.00
%
Inflation rate
1.75
%
real rate
3.50
%
Liquidity Risk
0.25
%
Majority Risk
0.85
%
Default Risk Premium
1.65
%
2.
You are considering an investment in 30-year bonds issued by Moore Corporation. The bonds have no special covenants. The Wall Street
Journal reports that 1-year T-bills are currently earning 3.25 percent. Your broker has determined the following information about economic activity and Moore Corporation bonds: (LG 2-6)
Real risk-free rate = 2.25%
Default risk premium=1.15%
Liquidity risk premium= 0.50%
Maturity risk premium=1.75%
a.
What is the inflation premium?
Inflation Premium= Nominal Interest Rate - Real Risk-Free rate
Nominal Interest Rate 3.25%
Real Risk-Free Rate
2.25%
Inflation Premium
1.00%
b.
What is the fair interest rate on Moore Corporation 30-year bonds?
Fair Interest Rate= Real Risk-Free Rate + Default Risk Premium+ Liquidity Risk Premium+ Majority Risk Premium+ Inflation Premium
Real Risk Free Rate
2.25%
Inflation Premium
1.00%
Default Risk Premium
1.15%
Liquidity Risk Premium
0.50%
Majority Risk Premium
1.75%
Fair Interest Rate=
6.65%
18. You note the following yield curve in The Wall Street Journal. According to the unbiased expectations theory, what is the one-year forward rate for the period beginning two years from today, 3f1? (LG 2-8)
Maturity
Yield
One Day
2.00%
One Year
5.50
Two years
6.50
Three Years
9.00
Current 3 year
9.00%
0.09
Current 2 Year
6.50%
0.065
1.09
1.295029
1.07
1.134225
1.14177433
9
0.14177433
9
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Related Questions
Problem: 1.7
A particular security's default risk premium is 1 percent.
For all securities, the inflation risk premium is 2 percent
and the real interest rate is 3 percent. The security's
liquidity risk premium is 5 percent and maturity risk
premium is 4 percent. The security has no special
covenants.
What is the security's equilibrium rate of return?
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Calculate the nominal rate of interest for each security. Compare and discuss your findings.
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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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Q24.
A particular security's equilibrium rate of return is 10%. For all securities, the inflation premium is 2.00% and the risk free rate is 4.0%. The security's liquidity risk premium is 0.25% and maturity risk premium is 1.00%. The security has no special covenants. Calculate the security's default risk premium.
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a. Calculate the expected return for each security.
b. Calculate the standard deviation for each security
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Solve all three parts plz
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(a) Calculate the expected return for each security.
(b) Calculate the standard deviation for each security
Note:
1Please clear question answer no Whois one (a),& (b)
2. No need excel formula
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17. Consider two securities that pay risk-free cash flows over the next two years and that have the
current market prices shown here:
Security
Price Today
Cash Flow in One Year
Cash Flow in Two Years
В1
$192
$200
B2
$176
$200
a. What is the no-arbitrage price of a security that pays cash flows of $200 in one year
$200 in two years?
b. What is the no-arbitrage price of a security that pays cash flows of $200 in one year and
$1600 in two years?
c. Suppose a security with cash flows of $100 in one year and $200 in two years is trading for
price of $260. What arbitrage opportunity is available?
and
a
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Problem 7-10 (Algo)
Required:
The market price of a security is $54. Its expected rate of return is 9%. The risk-free rate is 5%, and the market risk premium is 9%.
What will the market price of the security be if its beta doubles (and all other variables remain unchanged)? Assume the stock is
expected to pay a constant dividend in perpetuity. (Round your answer to 2 decimal places.)
Market price
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2
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Suppose you observe the following situation:
Security Beta Expected Return
Pete Corp. 1.50 0.160
Repete Co. 1.19 0.133
Assume these securities are correctly priced. Based
on the CAPM, what is the expected return on the
market? (Do not round intermediate calculations.
Round the final answers to 2 decimal places.)
Expected Return on Market
Pete Corp. %
Repete Co. %
What is the risk-free rate? (Do not round
intermediate calculations. Round the final answer to
3 decimal places.)
Risk-free rate
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A particular security's default risk premium is 4 percent. For all securities, the inflation risk premium is 3.65 percent and the real risk-
free rate is 2.50 percent. The security's liquidity risk premium is 0.35 percent and maturity risk premium is 0.95 percent. The security
has no special covenants. Calculate the security's equilibrium rate of return. (Round your answer to 2 decimal places.)
> Answer is complete but not entirely correct.
Rate of
return
8.65%
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The real rate of interest is currently at 3%; the inflation expectation and risk premiums for a number of securities folLOW
The security c has rsk premium at 2% and premium at 8%
Find risk free rate of security c
a. 10%
b. 6%
c. 11%
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Nikul
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7
Suppose the interest rates in the market for one-year, zero-coupon Treasury strips and for one-year, zero-coupon grade B corporate bonds are, respectively:
i = 2.05% k = 7.80%
Compute the probabilities of repayment and default as well as the risk premium.
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None
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Suppose you observe the following situation:
Security
Pete Corporation
Repete Company
Beta
1.70
1.39
a. Expected return on market
b. Risk-free rate
Expected
Return
.180
.153
a. Assume these securities are correctly priced. Based on the CAPM, what is the
expected return on the market? (Do not round intermediate calculations and enter
your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
b. What is the risk-free rate? (Do not round intermediate calculations and enter your
answer as a percent rounded to 2 decimal places, e.g., 32.16.)
%
%
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5
Which of the following describes yield to maturity?
Select one alternative
O A single discount rate that gives the value of a bond equal to its market price when applied to all cash flows.
O The coupon rate that causes a bond price to equal its par (or principal) value.
O Interest rate earned on an investment that starts today and last for n-years in the future without coupons.
O Interest rates implied by current zero rates for future periods of time.
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The promised cash flows of three securities are listed below. If the cash flows are risk-free, and the risk-free interest
rate is 4.5%, determine the no-arbitrage price of each security before the first cash flow is paid. (Click on the following
icon in order to copy its contents into a spreadsheet.)
Security
A
B
C
Cash Flow Today (S)
700
0
1,400
The no-arbitrage price of security A is S
Cash Flow in One Year ($)
700
1,400
0
(Round to the nearest cent.)
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Suppose you observe the following situation:
Security
Pete Corporation
Repete Company
Beta
1.25
.87
Expected Return
1080
.0820
a. Assume these securities are correctly priced. Based on the CAPM, what is the
expected return on the market? (Do not round intermediate calculations and enter
your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
b. What is the risk-free rate? (Do not round intermediate calculations and enter your
answer as a percent rounded to 2 decimal places, e.g., 32.16.)
a. Expected return on market using Pete Corporation
a. Expected return on market using Repete Company
b. Risk-free rate
de de
%
%
%
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i need the answer quickly
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FINANCIAL RISK MANAGEMENT
1. At what price bond is trading, assuming that the bond's coupon rate is 10% per annum and the interest rate is 10%.
2. Duration is a measure of time, for example, day 1 to day S. (True/ False)
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Related Questions
- Problem: 1.7 A particular security's default risk premium is 1 percent. For all securities, the inflation risk premium is 2 percent and the real interest rate is 3 percent. The security's liquidity risk premium is 5 percent and maturity risk premium is 4 percent. The security has no special covenants. What is the security's equilibrium rate of return?arrow_forwardCalculate the nominal rate of interest for each security. Compare and discuss your findings.arrow_forwardDescription 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:arrow_forward
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- (a) Calculate the expected return for each security. (b) Calculate the standard deviation for each security Note: 1Please clear question answer no Whois one (a),& (b) 2. No need excel formulaarrow_forward17. Consider two securities that pay risk-free cash flows over the next two years and that have the current market prices shown here: Security Price Today Cash Flow in One Year Cash Flow in Two Years В1 $192 $200 B2 $176 $200 a. What is the no-arbitrage price of a security that pays cash flows of $200 in one year $200 in two years? b. What is the no-arbitrage price of a security that pays cash flows of $200 in one year and $1600 in two years? c. Suppose a security with cash flows of $100 in one year and $200 in two years is trading for price of $260. What arbitrage opportunity is available? and aarrow_forwardProblem 7-10 (Algo) Required: The market price of a security is $54. Its expected rate of return is 9%. The risk-free rate is 5%, and the market risk premium is 9%. What will the market price of the security be if its beta doubles (and all other variables remain unchanged)? Assume the stock is expected to pay a constant dividend in perpetuity. (Round your answer to 2 decimal places.) Market pricearrow_forward
- 2arrow_forwardSuppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.50 0.160 Repete Co. 1.19 0.133 Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. % Repete Co. % What is the risk-free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places.) Risk-free ratearrow_forwardA particular security's default risk premium is 4 percent. For all securities, the inflation risk premium is 3.65 percent and the real risk- free rate is 2.50 percent. The security's liquidity risk premium is 0.35 percent and maturity risk premium is 0.95 percent. The security has no special covenants. Calculate the security's equilibrium rate of return. (Round your answer to 2 decimal places.) > Answer is complete but not entirely correct. Rate of return 8.65%arrow_forward
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