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
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
-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)
4.7
0.077872
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
35%=4% +
13%=4%+1
Risk free rate 4%
7.79M1
E(rA)
35%
9.66M2
Ba1
1.5
Ba2
2
E(rB)
13%
Bb1
1.9
Bb2
-0.6
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
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
-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
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)
4.7
0.077872
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
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
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
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
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
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
Please give answer this financial accounting
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_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_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_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_forwardIf 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_forward1. The return over the risk free rate of 3.4% A. Real return B. Average return C. Risk premium D. Required return E. Inflation premiumarrow_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 = 0.25arrow_forwardIf the risk free rate general accountingarrow_forwardGiven 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 30arrow_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 13.0arrow_forwardWhich 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_forwardExample 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
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