Marvin invested 65% of his retirement account in stocks and 35% in gold. Marvin believes that the return to stocks over the next 12 months is normally distributed with mean rate of return of 10% and standard deviation of return of 15%. He also believes that the return to gold over the next 12 months is normally distributed with mean rate of return of 30% and standard deviation of return of 40%. Finally, Marvin believes that the return to stocks and the return to gold are independent.1. According to Marvin's beliefs, what are the mean rate of return and the standard deviation of return to his investment portfolio? 2. What is the probability that Marvin's portfolio will make at least 20% over the next 12 months? Show your work and explain. Write all the steps of your analysis and/or calculations so that it is clear how you reached your results.

Answers

Answer 1

Answer:

1)

the mean rate of return is 17 %

the standard deviation of return is 17.06055

2)

the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325

Step-by-step explanation:

Given the data in the question;

1)

For the portfolio, the mean return and standard deviation are computed as follows;

Mean = Return = 0.65 × 10 + 0.35 × 30

= 6.5 + 10.5

= 17 %

Therefore, the mean rate of return is 17 %

Standard deviation will be;

σp = √( 0.65² × 15² + 0.35² × 40² )

= √( 0.4225 × 225 + 0.1225 × 1600 )

= √( 95.0625 + 196 )  

= √291.0625

= 17.06055  

Therefore, the standard deviation of return is 17.06055

2)  

probability that Marvin's portfolio will make at least 20% over the next 12 months.

P( X > 20 )

we convert to a standard normal variable;

Z = [tex]\frac{20-17}{17.06055}[/tex] )

Z = 0.17

from z table, p-value is;

p( X < 20 ) = 0.5675

P( X > 20 ) 1 - 0.5675  = 0.4325

Therefore, the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325


Related Questions

1
2
cm does it
How many cubes with side lengths of
take to fill the prism?
1 cm
2 cm
1
2 - cm
2
cubes

Answers

The correct answer is 2 cm if you use math apps then you get your answer correctly

Answer:

please ask a question properly i dont even know what you mean

20% of what number is 30

Answers

Answer:

150

Step-by-step explanation:

20 percent of 150 is 30.

To check the answer... 150 times 0.2 is 30.

Answer:

150

20 percent of what number equals 30; Answer: 150.

Step-by-step explanation:

20% of what is 30?

Written using the formula: X = 30 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 30 ÷ 0.2.

X = 150.

So 20% of 150 is 30.

PRETTY PLEASE HELP!! ILL GIVE BRAINLIEST! it’s due tonight :(

Answers

Answer:

a = 8 m

Step-by-step explanation:

Since, given is an isosceles right triangle.

So, by Pythagoras theorem:

[tex] {a}^{2} + {a}^{2} = {(8 \sqrt{2} )}^{2} \\ \\ 2 {a}^{2} = 128 \\ \\ {a}^{2} = \frac{128}{2} \\ \\ {a}^{2} = 64 \\ \\ a = \sqrt{64} \\ \\ a = 8 \: m[/tex]

24*8+4(4-2)22+3*7-222​

Answers

Answer:

hello mate..how dy a?

Step-by-step explanation:

answer is -67

Which graph shows a function where f(2) = 4?

Answers

Answer:

download photo math will help you and show you the steps

PLEASE HELP 55 POINTS

Answers

Answer:

Blue square = x²

Orange square = 6x

Yellow square = 4x

White square = 24

Which data set has a median of 15?
18, 9, 19, 16, 6, 20.13
09, 17, 13, 15, 16, 8, 12
18, 15, 11, 14, 19, 15, 6
O 7, 16, 14, 16, 11, 7, 17
Help please.

Answers

Median is the middle value.

Each set has 7 numbers so put the numbers in order from smallest to largest. The median would be the 4th number in the sets.

Only 2 sets have the number 15 in them so those are the only two you need to look at.

The 3rd choice is the correct answer.

When it comes to reimbursement packages, company A offers $175 plus
$0.55 per mile. Company B offers $200 plus $0.45 per mile. What number of
miles driven would make the two reimbursement packages equal?
O A. 225
B. 245
O c. 250
O D. 305

Answers

A number of thousands driven that would make the two reimbursement packages equal is:
x = 250 miles

Sam sees this newspaper headline.
Gas prices to rise by a fifth
Sam pays £38 per month for gas.
He wants to know how much he will pay after the price rise.
How much will Sam pay?
Select one:
O a. £45.60
O b. £7.60
O c. £43
O d. £30.40

Answers

Ok for the last time stop cheating and the answer is b

Answer: B for sure

Step-by-step explanation:

Solve k-73 0.Graph the solution
The solution is

Answers

I really cause there's no explain

In a class of 6, there are 2 students who forgot their lunch.
If the teacher chooses 2 students, what is the probability that both of them forgot their lunch?

Answers

Answer:

1/8

Step-by-step explanation:

AB,AA,BB,BB,BB,BB,BB,BB,

*A IS THE students that forgot thier lunch

I need help with this one ​

Answers

1) Volume = 16.76

2) Volume = 6052.8

3) Volume = 51.31

5) Volume = 555.18

6) Volume = 622.53

HOPE IT HELPS !!!!

Below is the graph of y=f(x).
Graph y=-f(x)

Answers

Answer:

Did you attached an image? I can't see it

Step-by-step explanation:

Points can be transformed to another set of points through reflections, rotation, translation, dilations etc. The graph of [tex]y = -f(x)[/tex] is added as an attachment.

Given that:

[tex]y = f(x)[/tex]

The graph of [tex]y = -f(x)[/tex] means that, f(x) is reflected across the x-axis to get -f(x) i.e. we negate the y-values of f(x)

From the attached graph of f(x), we have the following coordinate points:

[tex](-7,0), (-5,2), (-3,0), (0,-3)[/tex]

The corresponding points on -f(x) is:

[tex](-7,0), (-5,-2), (-3,0), (0,3)[/tex]

See attachment for the graph of [tex]y = -f(x)[/tex]

Read more about graphs and equations from:

https://brainly.com/question/17995541

Plz help me!!
I am timed!

Answers

Answer:

4 is the length

5 is the width

3 is the height

60 cubes

60m is the volume

derivative of cosx/x​

Answers

Answer:

Step-by-step explanation:

I assume that you mean cos(x)/x, not cos(x/x).

Use the quotient rule.

Jenna receives $0.09 in royalties each time her new song is played on the radio and $0.24 in royalties for each digital download from a website. During the month of January, her song was played an average of 120 times per day and downloaded a total of 200 times per day. Approximately how much did Jenna receive in royalties? Note that January has 31 days.
○ $1, 823
○ $548
○ $ 59
○ $1,596.70​

Answers

Well so I did 0.09 x 120 to get 10.8, then I did 0.24 x 200 to get 48, then I added them together to get 58.8, then I took 58.8 and multiplied it by 31 to get 1,822.8 and rounded to 1,823. So your answer is A. $1,823

Reflection across y=3​

Answers

When reflected across Y = 3.
L = (-3,5)
U = (-3,1)
X = (0,1)

The reflected coordinates of the triangle along y = 3 are  X'(0, - 1), U'(3, - 1) and L'(3, - 5).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, a triangle is reflected along y = 3.

First, the coordinates (x, y) of the triangle are X(0, 5), U(-3, 5) and L(-3, 1).

We know reflected along the y-axis is (-x, y) so reflection along y = 3 is

(-x, y - 2×3).

∴ X'(0, - 1), U'(3, - 1) and L'(3, - 5).

learn more about reflection here :

https://brainly.com/question/15487308

#SPJ2

Find the 12" term of the arithmetic sequence whose common difference is d=8 and whose first term is a = -2.

Can someone please help me?

Answers

Answer:

86.

Step-by-step explanation:

nth term = a1 + d(n - 1) so here we have:

12the term = -2 + 8( 12 - 1)

= -2 + 88

= 86.

Triangle Inequalities part 2 help please

Answers

Answer:

The perimeter can not be 26 inches

Step-by-step explanation:

Given

[tex]Side\ 1 =19[/tex]

[tex]Side\ 2 =16[/tex]

Required

Is a perimeter of 26 possible?

First, calculate the possible side 3

[tex]Side\ 3 = Perimeter - Side\ 1 - Side\ 2[/tex]

[tex]Side\ 3 = 26 - 16 - 19[/tex]

[tex]Side\ 3 = -9[/tex]

The side length can not be negative.

So, the perimeter can not 26 inches

2/17
87%
Find the volume of this cube.
5 cm
Type here to search
O
BI
III
A
3

Answers

Answer:

Volume of cube = 125 cm³

Step-by-step explanation:

Given:

Side of cube = 5 cm

Find:

Volume of cube

Computation:

Volume of cube = side³

Volume of cube = 5³

Volume of cube = 125 cm³

Ok so I have this problem, 12x+24=6x+3. WHAT DO I DO IF THE X HAS DIFFERENT NUMBERS. Oh and for 5-2x=2x-5 what do i do if ones a negative and ones a positive. Im trying to find the answer and if its 1 solution, no solution, or infinite solutions. Im sure people on here can reply quicker then my math teacher.

Answers

Answer: one solution; that solution is x = -7/2 which is the same as x = -3.5

====================================================

Work Shown:

The idea is to get all the x terms to one side, and the other stuff to the other side. We follow PEMDAS in reverse to help isolate x

12x+24 = 6x+3

12x+24-24 = 6x+3-24 .... subtract 24 from both sides

12x = 6x-21

12x-6x = 6x-21-6x ...... subtract 6x from both sides

6x = -21 ...... now the x terms are all on one side

6x/6 = -21/6 ...... dividing both sides by 6

x = -21/6

x = (-7*3)/(2*3)

x = -7/2

x = -3.5

This is the only solution. Whenever we have different coefficients for the x terms like this, we can see right off the bat we have exactly one solution. Consider graphing y = 12x+24 and y = 6x+3. The two lines will intersect at the point (x,y) where the x coordinate is the solution to the original equation. There is only one point of intersection which corresponds to exactly one solution.

The thing to notice about y = 12x+24 and y = 6x+3 is that the slopes are not the same, so the lines aren't parallel. Parallel lines always have equal slopes but different y intercepts. If your teacher gave you 12x+24 = 12x+3, then the two lines to graph would be y = 12x+24 and y = 12x+3. At this point, we would get two parallel lines that don't intersect, and therefore we wouldn't get any solutions here.

Question 5 (5 points)
(06.02 LC)
A scatter plot is shown:

Which graph best represents the line of best fit for this scatter plot?

Answers

Answer:

um i cant see the answer choices

Step-by-step explanation:

Answer:

it is not clear

Step-by-step explanation:

it is not clear

What are some words that we can use to represent a positive or negative integer?​

Answers

Answer:

Profit, increase, and income are all examples of words that mean positive. A negative number is a number that is less than zero. It is always written with a - symbol in front of it. A loss is written with a negative number

Hope this helps


Find the area of the figure shown. Can someone help me please

Answers

Answer:

180 cm^2

Step-by-step explanation:

(8 x 15)/2 = 60 cm^2

(16 x 15)/ 2 = 120 cm^2

120 + 60 = 180 cm^2

180 cm2....

..........

Henry wrote 4z2 - 22 as
4. Are 4z2 – 22 and 4 equivalent expressions?
Explain.

Answers

If the q is: are 4z2-22 and 4 equivalent expressions, the answer is No.
4z2-22=4
8z-22 is not equal to 4
If you are looking for value of z, then:
8z-22=4
8z=4+22
8z=26
z=26/8
z=13/4
In case in which z=13/4, than expression
4z2-22 would be equivalent to 4.
Hope this helped.

The ratio of male students to female students in a class is 5:4. If the number of male students in the class is
25, predict the number of female students?

Answers

Answer:

The answer is 20

Step-by-step explanation:

In ratio what you do one side you do on the other side 5:4=25:20

5×5=25

4×5=20

PLEASEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Yes, 2:1. This is simple, mate. You just look at the sides and see the ration between them.

Select the correct answer from each drop-down menu.
If the radius of a circle is 3.5 Inches, Its diameter is
Inches and its approximate area is
square Inches.

Answers

Answer:

Diameter = 7 inches

Area = 38.48 in²

Step-by-step explanation:

Diameter = 3.5 x 2 = 7 inches

Area = 3.5² x π = 38.48 in²

3). What is the area of a rectangular window measuring 36 inches across 25 points
and 60 inches tall? *

Answers

To find the area of a rectangle, just multiply the dimensions.

36

x60

00

360

1800

2160

The area of the rectangle is 2,160 in sq

---

hope it helps

I hope you see it plz 20 minutes left i need answers yall help me plz​

Answers

Answer:

-6,-2

Step-by-step explanation:

you just have to look i think its right

The equation is y=-x/3-2
Other Questions
Solve the Equation 4x^2-5x-6=0 how many two digits divisible by 6 The earths crust is subdivided into A. Lithosphere, hydrosphere and atmosphere.B. Troposphere, stratosphere and ionosphere.C. Core, mantle and atmosphere.D. Hydrosphere, geosphere and stratosphere. Find the value of x please help dont know math at all Which of the following statements best explains the Schlieffen Plan? Group of answer choices The Schlieffen Plan involved invading Russian on the Eastern Front and France on the Western Front. The Schlieffen Plan involved bombing the British Isles. The Schlieffen Plan involved a quick take over of France so Germany did not have to fight a two-front war. The Schlieffen Plan involved Italian troops invading Southern France. 2 3/4 +1 1/4+3 1/2 HELP PLZZZZZZZZZZZZZ What is the answer using substitution X+(x-178)=676 A state university locks in costs for a student once a student starts attending the university. The total cost is $23,500. A student has the following help in covering the costs of school. An academic scholarship of $8,200. Other scholarships and grants of $7,400. Grandparents pay $1,000. What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months? KenmaHinataOikawa or Tendou?I need 1 option but I cant pick- o^o 9782 divided by 67 step by step Long division A change of state does not affect an object's what? A planet follows an elliptical orbit that brings it as close as 21 million km to a star and as far as 75 million km from the star. At both of these locations the velocity of the planet makes a right angle to the direction to the star. If the planet's speed is 38 km/s when it is farthest from the star, how fast is it moving when it is closest to the star I am stugling with algebra (because of zoom classes) and have multiple questions, please answer as many as you can. Thank you!3x + 7 = 4x X=x + 2 + 2x = x + 10 X=x + 3x = x + x + 10 X=2x + 3 + 3x = x + 11 X=(oh and PLEASE explain this to me!) Canada is divided into five regions. Which of the following statements is supported by information? Susan B. AnthonyWhat societal values and cultural traditions did this person have, and how did they affect his or her perspectives on the Progressive movement? Solve for z:-0.25z = -1.25 It's takes Mario 1/4 hour to mow mr Harris's lawn. It takes him 3 times as long to mow mrs Carter's . How long does it take Mario to mow mrs Carter's lawn Slope= -4Point = (2, -4)Slope-Intercept Form: Bacteria exist in many shapes and sizes. Which of the following diagrams does not represent a typical bacterial cell?