7-4
.xlsx
keyboard_arrow_up
School
Brigham Young University *
*We aren’t endorsed by this school
Course
402
Subject
Finance
Date
Feb 20, 2024
Type
xlsx
Pages
12
Uploaded by CorporalNeutron3331
35%=4% +
13%=4%+1
Risk free rate 4%
7.79M1
E(rA)
35%
9.66M2
Ba1
1.5
Ba2
2
E(rB)
13%
28%
13.532
Bb1
1.9
28%
Bb2
-0.6
-13.532
14.468
0.7615
First of all we shall find the risk premium as follows:
Expected return on A = Risk free rate + Beta on M1 x Market risk premiu
0.30 = 0.07 + 1.6 x Market risk premium 1 + 2.4 x Market risk premium 2
0.23 = 1.6 x Market risk premium 1 + 2.4 x Market risk premium 2
Expected return on B = Risk free rate + Beta on M1 x Market risk premiu
0.11 = 0.07 + 2.3 x Market risk premium 1 - 0.7 x Market risk premium 2
0.04 = 2.3 x Market risk premium 1 - 0.7 x Market risk premium 2
Now we shall solve the above two equations i.e.
0.23 = 1.6 x Market risk premium 1 + 2.4 x Market risk premium 2 (Multi
0.04 = 2.3 x Market risk premium 1 - 0.7 x Market risk premium 2 (Multi
1.3225 = 9.2 Market risk premium 1 + 13.8 x market risk premium 2 (Eq
0.16 = 9.2 Market risk premium 1 - 2.8 market risk premium 2 (Equation
Now subtract equation 2 from equation 1 and we shall get:
1.1625 = 16.6 market risk premium 2
Market risk premium 2
0.07003
= 7% Approximately
Plugging market risk premium 2 in equation 1 we shall get:
0.23 = 1.6 x market risk premium 1 + 2.4 x market risk premium 2
.23 = 1.6 x market risk premium 1 + 2.4 x 1.1625 / 16.6
Market risk premium 1 = 3.87% Approximately
So the relationship will be:
Er(P) = 7% + 3.87% BP1 + 7% BP2
-0.186
+ 1.5*M1+2.0*M2
0.186
-0.006
0.9
1.9*M1+(0.6)*M2
0.9
2.9
0.18
21.814 -0.00207
0.366
-0.72
-30.2972
3.800
7.787234
0.311.5M1+2M2
0.091.9M1+0.6M2
19
um 1 + Beta on M2 x Market risk premium 2
2
um 1 + Beta on M2 x Market risk premium 2
2
tiply this equation by 5.75 ) (Equation 1)
tiply this equation by 4 ) (Equation 2)
quation 1 )
n 2)
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Questions
Consider the following two securities X and Y.
Security
Return
Standard Deviation
X
20.0%
Y
10.0%
20.0%
30.0%
Risk-free asset
5.0%
Beta
1.50
1.0
Which asset (X or Y) in Table 8.3 has the least total risk? Which has the least syst
O Y; X.
O X; Y.
O Y; Y.
○ X; X.
arrow_forward
What is the expected market return if the expected return on asset A is 19% and the risk free rate is 5%? Asset A has a beta of 1.4. Assume that the CAPM is correct.
a. 5%
b. 9%
c. 13%
d. 15%
e. 19%
arrow_forward
Q. Market rate of return is 18%, risk-free rate of return 8% and beta is 1.2
1. Calculate the required rate of return
2. Calculate risk premium
arrow_forward
Assuming your utility function U = E(r) - Ao². Consider the investments shown in
the table. If your risk aversion coefficient is -2, which investment would you choose?
Investment E[r]
#1
#2
#3
#4
#2
#3
#4
#1
12%
15%
15%
24%
σ
40%
40%
30%
40%
arrow_forward
The possible returns of a security I and research returns under three possible states are as
follows.
Probability
% market
% security
0.2
15
10
0.5
13
16
0.3
25
30
The risk free rate is 9%, determine the required rate of return of security I and sate whether it is
correctly valued.
12-marks] 20
Ri= E(R) XW
arrow_forward
Using the following data:
Scenario Probability return K1 return K2
0.2
-10%
5%
W2
0.4
0%
30%
W3
0.4
20%
-5%
compute the weights in the portfolio with minimum risk. What are the expected return
and risk of this minimum risk portfolio?
arrow_forward
Risk-free rate is 7%
2. Calculate the required rate of return for A.
1. 8.90%
2. 8.40%
3. 8.70%
4. 8.30%
arrow_forward
1
arrow_forward
If the risk-free rate is 10.2% and the market
risk premium is 4.4%, what is the required
return for the market?
a. 5.8%
b. 4.4%
C. 14.6%
d. 10.2%
arrow_forward
1. The return over the risk free rate of 3.4% A. Real return B. Average return C. Risk premium D.
Required return E. Inflation premium
arrow_forward
Answer it
arrow_forward
2
arrow_forward
What is the expected return of a portfolio of two risky assets if the expected return
E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as
shown below?
Asset (A)
E(R₂) = 25%
SDA = 18%
WA = 0.75
COVA, B = -0.0009
Select one:
A.
13.65%
B.
20 U ODN
20.0%
C.
18.64%
D.
22.5%
Asset (B)
E(R₂) = 15%
SDB = 11%
WB = 0.25
arrow_forward
If the risk free rate general accounting
arrow_forward
Given the following probability distributions, what are the expected returns for the Market and for Security J?
Statei
Pr i
rM
rJ
1
0.3
−10%
40%
2
0.4
10
−20
3
0.3
30
30
arrow_forward
Which of the following investments has the greater relative risk? (LO 8-2)
Investment
Expected Return
Standard Deviation
F
16.0%
7.0%
G
27.0
13.0
arrow_forward
Which asset in the following table has the most market risk (also known as systematic or non-
diversifiable risk)?
Asset
A
B
Asset B
Asset A
Return
Both Assets A and C
Asset C
(10%
12%
14%
Beta
0.74
1.00
1.25
Standard
Deviation
20%
40%
30%
arrow_forward
Example of CAPM Equation:
Case
Risk free Rate (Rf)
Market return (Km)
Beta (b)
Required Return
A
5%
8%
1.30
?
B
8%
13%
0.90
?
C
10%
15%
-0.20%
?
D
?
12%
1.0
12%
E
6%
?
0.60
9%
F
5%
16%
?
10%
Required: Using CAPM equation, compute the missing value (?)
arrow_forward
1. Given the following summary statistics,
Mean S.D.
1.235
0.997
Asset A 0.52
Asset B. 0.44
(a) If the correlation between the two financial series is 0.25. What are the
optimal portfolio weights to minimize risk?
(b) What are the expected return and standard deviation of the optimal port-
folio?
(c) Compute the 1% Value-at-Risk for the next 5 days
(d) Compute the expected shortfall
arrow_forward
Assume that you are given the following historical returns for the Market and Security J. Also
assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected
market risk premium is 15.0 percent. Given this information, determine the required rate of return
for Security J for the coming year, using CAPM.
Year
1
2
O21.20%
3
4
5
6
O22.34%
O 23.49%
O24.63%
O24.10%
Market
10.00%
12.00%
16.00%
14.00%
12.00%
10.00%
Security J
12.00%
14.00%
18.00%
22.00%
18.00%
14.00%
arrow_forward
M4
arrow_forward
i need the answer quickly
arrow_forward
Which of the following portfolios should a risk averse investor choose?
Portfolio Name
σ(rP)
Sharpe Ratio
A
20%
0.45
B
25%
0.36
C
10%
0.27
D
15%
0.14
Portfolio D
Portfolio A
Portfolio C
Portfolio B
arrow_forward
please help with this question
arrow_forward
Accounting question
arrow_forward
Asset A has an expected return of 10%. The expected market
return is 14% and the risk-free rate is 5%. What is asset A's beta?
Select one:
O a. 0.88
O b.0.67
O C. 0.55
O d.o.33
O e. 1.15
arrow_forward
Consider two securities, A and B, whose standard deviations of returns and betas are given below:
Security A
Security B
Standard deviation
15%
25%
Beta
1.30
0.75
Which security will have the higher risk premium? Security A or B?
arrow_forward
Required Return If the risk-free rate is 10.2 percent and the market risk premium is 4.4 percent, what is the required return for the market?
Multiple Choice
A. 5.8%
B. 4.4%
C. 14.6%
D. 10.2%
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning
Related Questions
- Consider the following two securities X and Y. Security Return Standard Deviation X 20.0% Y 10.0% 20.0% 30.0% Risk-free asset 5.0% Beta 1.50 1.0 Which asset (X or Y) in Table 8.3 has the least total risk? Which has the least syst O Y; X. O X; Y. O Y; Y. ○ X; X.arrow_forwardWhat is the expected market return if the expected return on asset A is 19% and the risk free rate is 5%? Asset A has a beta of 1.4. Assume that the CAPM is correct. a. 5% b. 9% c. 13% d. 15% e. 19%arrow_forwardQ. Market rate of return is 18%, risk-free rate of return 8% and beta is 1.2 1. Calculate the required rate of return 2. Calculate risk premiumarrow_forward
- Assuming your utility function U = E(r) - Ao². Consider the investments shown in the table. If your risk aversion coefficient is -2, which investment would you choose? Investment E[r] #1 #2 #3 #4 #2 #3 #4 #1 12% 15% 15% 24% σ 40% 40% 30% 40%arrow_forwardThe possible returns of a security I and research returns under three possible states are as follows. Probability % market % security 0.2 15 10 0.5 13 16 0.3 25 30 The risk free rate is 9%, determine the required rate of return of security I and sate whether it is correctly valued. 12-marks] 20 Ri= E(R) XWarrow_forwardUsing the following data: Scenario Probability return K1 return K2 0.2 -10% 5% W2 0.4 0% 30% W3 0.4 20% -5% compute the weights in the portfolio with minimum risk. What are the expected return and risk of this minimum risk portfolio?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning