The weight of the risk-free asset is 0.09 and the weight of the stock is 0.91.
The beta of the portfolio is 0.846.
a. The expected return on a portfolio that is equally invested in the two assets can be calculated as follows:
Expected return = (weight of stock x expected return of stock) + (weight of risk-free asset x expected return of risk-free asset)
Let's assume that the weight of both assets is 0.5:
Expected return = (0.5 x 10.5%) + (0.5 x 2.4%)
Expected return = 6.45% + 1.2%
Expected return = 7.65%
b. The portfolio weights can be calculated using the following formula:
Portfolio beta = (weight of stock x stock beta) + (weight of risk-free asset x risk-free beta)
Let's assume that the weight of the risk-free asset is w and the weight of the stock is (1-w). Also, we know that the portfolio beta is 0.92. Then we have:
0.92 = (1-w) x 1.14 + w x 0
0.92 = 1.14 - 1.14w
1.14w = 1.14 - 0.92
w = 0.09
c. The expected return-beta relationship can be represented by the following formula:
Expected return = risk-free rate + beta x (expected market return - risk-free rate)
Let's assume that the expected return of the portfolio is 9%. Then we have:
9% = 2.4% + beta x (10.5% - 2.4%)
6.6% = 7.8% beta
beta = 0.846
d. Similarly to part (b), the portfolio weights can be calculated using the following formula:
Portfolio beta = (weight of stock x stock beta) + (weight of risk-free asset x risk-free beta)
Let's assume that the weight of the risk-free asset is w and the weight of the stock is (1-w). Also, we know that the portfolio beta is 2.28. Then we have:
2.28 = (1-w) x 1.14 + w x 0
2.28 = 1.14 - 1.14w
1.14w = 1.14 - 2.28
w = -1
This is not a valid result since the weight of the risk-free asset cannot be negative. Therefore, there is no solution to this part.
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What is the simplified form of this expression? (-3x2 + x + 5) − (4x2 − 2x) A. 7x2 + 3x − 5 B. -7x2 + 3x + 5 C. X2 − x + 5 D. -x2 + 3x − 11
Find the unit rate for this situation: type 145 words in 5 minutes
Answer:
29 words per minute
Step-by-step explanation:
[tex] \frac{145}{5} = 29 \\ \frac{29}{1} = 29[/tex]
Answer:
29 words per minute
Step-by-step explanation:
145/5 = 29 words per minute
Hope that helps!
The winning times for a race are shown in the table.
Which answer describes the rate of change from year 2 to year 4?
- The winning time increased by an average of 0.267 second per year from year 2 to year 4.
- The winning time increased by an average of 0.8 second per year from year 2 to year 4.
- The winning time increased by an average of 0.4 second per year from year 2 to year 4.
- The winning time increased by an average of 0.475 second per year from year 2 to year 4.
Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.
The winning time for a race displayed in the table would be:
C). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Find the increase in winning time:
Given that,
Year Winning Time(seconds)
1 27.5
2 28.4
3 28.7
4 29.2
5 29.44
Hence, The total change in the time is,
= (0. + 0.3 + 0.5 + 0.24)/4
= 0.485 seconds
Now, If we round off, it becomes 0.5 seconds.
Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.
Thus, ''Option C'' is the correct answer.
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Show set of data that is a function using at least 5 domain values and 5 range values. It can be shown in a format of your choice
Answer:
Five domain values of the function f(x) = x² - 1, are; 1, 2, 3, 4, 5
Five range values of the function f(x) = x² - 1, are; 0, 3, 8, 15, 24
Step-by-step explanation:
The values in the domain are the values of the independent or (normally) x-variable
The values i the range are the values obtained by applying the function relationship to the domain as follows;
Let 'f(x)' represent the function that generates the values of the data in the data set,
For f(x) = x² - 1, we have the following table;
[tex]\begin{array}{ccc}x&f(x)\\1&0\\2&3\\3&8\\4&15\\5&24\end{array}[/tex]
Therefore;
The function is f(x) = x² - 1
The five domain values are; 1, 2, 3, 4, 5
The five range values are; 0, 3, 8, 15, 24.
I do not understand this at all
Answer:
2s+3b=154
s=2b
solving: s= 44, b= 22
Step-by-step explanation:
s=number of sundaes sold
b=number of banana splits sold
2s+3b=154
s=2b
to solve:
substitute s=2b into the first equation
2(2b)+3b=154
4b+3b=154
7b=154
divide both sides by 7
7b/7=154/7
b=22
s=44
plz help!!!! i’ll mark brainliest!!
Brainliest need help plz
A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B. Which statement is true about the given information? ∠CED measures 45°. ∠CED measures 180°. ∠AEC measures 90°. ∠AEC measures 45°.
Answer:
The answer is 90
Step-by-step explanation: Im not 100% sure but yeah.
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Answer:
Pretty sure it's c)
What statement is true for life insurance coverage?
O A. The policy only covers beneficiary's future needs, funeral costs should not be included in the
policy amount
B. Debt is forgiven at death, so insurance policies do not need to cover this cost.
O
C Life insurance policy amounts should factor in how much it would take to maintain the standard
of living for the beneficiaries
D. Generally speaking, $10,000 is the recommended amount for a life insurance policy
Answer:
C: Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries
Step-by-step explanation:
The statement is true for life insurance coverage
Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries.
What is Life insurance coverage?A contract between an insurance policy holder and an insurance company in which the insurer agrees to pay a quantity of money in exchange for a premium upon the demise of an insured person or after a specific amount of time is known as life insurance.
In order to provide a death benefit in exchange for paying premiums, life insurance functions. One common kind of life insurance, called term life insurance, only lasts for a predetermined period, such 10 or 20 years. Although the death benefit of permanent life insurance likewise lasts during the policyholder's lifetime as long as premiums are paid, it does not.
Thus, the true statement is
Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries.
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please help me on this will give you brainliest
Answer:
57.603
Step-by-step explanation:
We can separate this into two sections, using the and:
Fifty-seven - simply the whole number 57
Six hundred three thousandths - This could be intrepreted as 0.603, which is confirmed through the "3" being in the thousandths place.
Sorry that took so long! I had to think a bit about this one
Evaluate the expression,
if x = 9, y = 14, and z = 6.
X•y-z2
Answer:
90
Step-by-step explanation:
6^2=36
9*14=126
126-36=90
Answer:
90
Step-by-step explanation:
X ° Y - z2 =
9 x 14 - 6 x 6 =
126 - 6 x 6 =
126 - 36 = 90
Bodmas is used for this equation, the order of the sums that you should do:
1. The sum in the bracket
2. Division
3. Multiplication
4. Addition
5. Subtraction
Do it left to right, you can do division and multiplication and addition and subtraction too but it's based on left to right.
Susie bought 6 yards of fabric to make scarves. She estimates that it takes 3/5 yard to make huge scarf. How many scarves can Susie make?
For 3/4 of a pound of peanuts, Jimmy paid $2.35. What is the unit rate (dollars per pound)? *
Answer:
$3.13/lb
Step-by-step explanation:
Divide 3/4 pound into $2.35:
$2.35
--------- = $3.13/lb
3/4 lb
What unit should be used to calculating fundraising for field trip
Answer:
the mcps i think
Step-by-step explanation:
Im not sure :/
Use the Distributive Property to rewrite the algebraic expression. 7(6m + 7)
wrong answers reported
Step-by-step explanation:
first, distribute 7 to 6m (this means 7 • 6m)
7 • 6m = 42m
then distribute 7 to 7 (which is 7 • 7)
7 • 7 = 49
your simplified expression is 42m + 49. i hope this helps! have a great day <3
re-write the equation in Ax+By=C form. use integers for A,B, and C.
y+2=-5(x-5)
Answer:
5x+y=23
Step-by-step explanation:
y+2=-5(x-5)
y+2=-5x+25
y=-5x+25-2
y=-5x+23
23=y-(-5x)
23=y+5x
5x+y=23
GameStop is going out of business and everything is 60% off. What is
the new price of a game that regularly costs $58.99?
Answer:
With original price $58.99 and 60% off,
Final price: $23.60
Saved amount: $35.39
Step-by-step explanation:
Andre's recipe for lemonade calls for 5 cups of
sugar to make 3 gallons of lemonade. Leila will
follow the same recipe to make g gallons of
lemonade using s cups of sugar. Which of these
equations represents the relationship between g
Answer: [tex]g= \frac{5}{3} s[/tex]
Step-by-step explanation:
[tex]3g=5s\\g=\frac{3}{5}s[/tex]
3 What is the value of x2 + 4 for x = 5? -))
Answer:
14
Step-by-step explanation:
substitute 5 for x
5(2) + 4 = 10 + 4 = 14
The width of a rectangle is 7 inches and the length is 13 longer than the width. Find the perimeter of the rectangle. (PLEASE ANSWER QUICKLY!!!)
Use the graph and table to write the equation that describes the line graphed.
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries 1, 2, 3, 4, 5.
The equation of the line
Please help me :(
Answer:
I believe it is x−y+3=0.
Step-by-step explanation:
y= mx + b
The equation of a line is written as [tex]\frac{y_{2-}{y_{1} } }{x_{2-}{x_{1} } }[/tex], so if you plug in the numbers from the first two rows on the grid you get, [tex]\frac{2-1}{-1--2}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The y- intercept is [tex]b= y_{1}[/tex]-m·[tex]x_{1}[/tex], plug in the number and its, b=1-(1)·(-2)=3
Finally, the equation of the line can be written in the form y=mx+b.
y=x+3.
The equation of the line in the slope-intercept form is y=x+3.
The equation of the line in the point-slope form is y−1=1(x+2).
The general equation of the line is x−y+3=0.
Answer:
It’s D y=X+3
Step-by-step explanation:
A cereal box has a length of 9 inches, a width of 3 inches, and a height of 13 inches. What is the volume of the cereal box?
Answer:
351 is the answer to how much volume a cereal box has
Answer:
352
Step-by-step explanation:
all you do is multiply 9×3×13
solve this please for me
Answer:
c is answer plz see the pic it's the solution
Solve for a, 7-a=3 A.10 B.4 C.2 D5
Answer:
B
Step-by-step explanation:
7 - a + 3
subtract 7 from both sides.
-a = 3 - 7
add like terms (3 + - 7)
-a = -4
divide both sides by -1. (remember that in front of the a, a 1 is there.)
a = 4
answer: b. 4
solve for x. -3(x+5)=-9
Answer:
x = -2
Step-by-step explanation:
The total circular area a sprinkler can water is 240 2 . The sprinkler is set to rotate back and forth in a 75° pattern. Find the amount of area that will get watered.
Answer:
The sprinkler will cover an area of [tex]50m^2[/tex]
Step-by-step explanation:
Given
[tex]Area = 240m^2[/tex]
[tex]\theta = 75^{\circ}[/tex]
Required
Determine the amount of area it can cover
The amount of area is calculated by calculating the area of a sector using:
[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * \pi r^2[/tex]
Where:
[tex]Area = \pi r^2 = 240m^2[/tex]
So, we have:
[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * 240m^2[/tex]
Substitute 75 for [tex]\theta[/tex]
[tex]Sector\ Area =\frac{75^{\circ}}{360^{\circ}} * 240m^2[/tex]
[tex]Sector\ Area =\frac{75^{\circ}* 240m^2}{360^{\circ}}[/tex]
[tex]Sector\ Area =\frac{75* 240m^2}{360}[/tex]
[tex]Sector\ Area =\frac{18000m^2}{360}[/tex]
[tex]Sector\ Area =\frac{18000}{360} m^2[/tex]
[tex]Sector\ Area =50m^2[/tex]
Hence, the sprinkler will cover an area of [tex]50m^2[/tex]
What is greater 100,000 cm or 1 mi PLEASE HELLP AND PLEASE SHOW YOUR WORK QUICK
Answer:
yeah 100,000 cm is greater
Step-by-step explanation:
Please help me 3x+y=-3
Answer:
x=0 y=-3
Step-by-step explanation:
The image of the point (8,1) under a translation is (9,2). Find the coordinates of
the image of the point (5,5) under the same translation.
1-2-3-4-5-6-7-8-9-10
0.10)/%
Barry wants to make a drawing that is 1/2 the size of the original. If a tree in the original drawing is 11 inches tall and 5 inches wide,
Answer:
Barry's drawing is 5.5 in tall and 2.5 in wide.
Step-by-step explanation:
We are given that
Height of tree, h=11 in
Width of tree, b=5 in
We have to find the size of the original.
Size of drawing is 1/2 size of the original
Therefore,
Height of drawing, h'=[tex]\frac{1}{2}\times 11[/tex]in
Height of drawing, h'=5.5 in
Width of drawing tree=[tex]\frac{1}{2}\times 5[/tex]
Width of drawing tree=[tex]2.5in[/tex]
Hence, Barry's drawing is 5.5 in tall and 2.5 in wide.