Suppose you have some money to investfor ​simplicity, ​$1and you are planning to put a fraction w into a stock market mutual fund and the​ rest, ​, into a bond mutual fund. Suppose that​ $1 invested in a stock fund yields after 1 year and that​ $1 invested in a bond fund yields ​, suppose that is random with mean ​0.07(​%) and standard deviation ​, and suppose that is random with mean ​(​%) and standard deviation . The correlation between and is . If you place a fraction w of your money in the stock fund and the​ rest, ​, in the bond​ fund, then the return on your investment is .

Answers

Answer 1

Answer and Step-by-step explanation:

Solution:

Given:

Mean = 0.08

Standard deviation = 0.07

W = 0.75

The return on investment is:

R = W * RS + (1 – W)*RB

Compute the mean and standard deviation:

Mean:

E(R) = E[ W X RS + (1 – W) X RB]

The mean of R is given:

 µ = W * RS + (1 – W)*RB

      = 0.75 X 0.08 + (1 – 0.75) 0.05

      = 0.06 + 0.0125

     = 0.0725

Variance:

Var (R) = var [ w x RS + (1 – W)RB]

Var (R) = W 2 Var (RS )+ (1 –W)2 Var  (RB) + 2w (1-w)cov(RS , RB)

The standard deviation of R is given by:

∂2 = W2 X (0.07)2 + (1 – W) 2 X( 0.04)2 + 2 W (1 – W) X [0.07 X 0.04 X 0.25]

  Where [0.07 X 0.04 X 0.25] is correlation between RS and RB.


Related Questions

will mark brainliest:) helppppp -7x + y = -19 -2x+ 3y = -19 solve the system of equations

Answers

Answer:

X=2, Y=-15

Step-by-step explanation:

-7x+y=-19

-2x+3y=-19

------------------

-3(-7x+y)=-19

   -2x+3y=-19

---------------------

21x-3y=57

-2x+3y=-19

---------------------

19x     = 38

19x/19=38/19

x=2

now plug 2 into x of the second equation to get y=-15

What is 5/8 of $16 restaurant bill=
What is the answer

Answers

Answer:

$10

Step-by-step explanation:

16 * 5 / 8 = 16 * 0.625 = $10

74,626,831.08 ROUNDED TO THE TENTH.

Answers

Answer:

74,626,831.1

Step-by-step explanation:

You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.

Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)

Answers

Answer: the answer is the second one

Step-by-step explanation:

9514 1404 393

Answer:

3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of addition

Step-by-step explanation:

The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.

Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.

For multiplication, the associative property can be written:

  (ab)c = a(bc)

This form matches the first of the choices shown:

  3(ab) = (3a)b

__

For addition, the associative property can be written:

  (a+b)+c = a+(b+c)

This form matches the second of the choices shown:

  (3 + a) + b = 3 + (a + b)

__

If you must select one answer, you need to know which associative property you're talking about.

The temperature in Denver is -4 degrees
Celsius and the temperature if Tampa is 38
degrees Celsius. What is the difference
3) between these two temperatures?

Answers

Answer:

34 degrees Celsius

Step-by-step explanation:

For this question, you just find the sum of the two temperatures:

-4+38 = 34

there is a 42 degree difference

ANSWER ASAP! NEED HELP

Answers

Can anyone answer my question I’ve already posted like 3 pictures of it and no one is answering it please help me :(

Noah is finding 3/4 of 8 find his mistake and correct it

Answers

you need to show his steps or else i cant find his mistake

Um 3/4 aka 75% of 8 is 6

Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9

Answers

Answer:

The blue liquid is toxic

Step-by-step explanation:

From the calculations I have done and attached to this problem

Null hypothesis:

H0 : p1 <= p2

Alternate hypothesis:

H1 : p1 > p2

^p1 = 0.925

^p2 = 0.2250

^P = (x1 + x2)/(n1+n2)

= 0.575

After calculating, I got test statistics = 6.33 ( check attachment)

P(z > 6.33) = 0.0000

In conclusion, our pvalue has been found to be less than the level of significance 0.05 so we reject null hypothesis and accept that we have enough sample evidence that the blue liquid is more toxic in comparison to white one.

Please check attachment for calculated test statistics.


A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?

Answers

1380/230 = 6 inches in the scale drawing

help with math, please
will give 100 points

Answers

Answer: y=x10
Because: i looked it up

Answer: y=x10

Step-by-step explanation:

does anyone know the answer to this question?

consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....

Answers

It goes plus 4 every time, so the next three terms are 19, 23, and 27


Caleb is saving money to buy a bike next year. So far he has saved $150. Write an inequality to show how much he needs to
save each month for the next year so he has at least $800 to spend on the bike, then solve the inequality

Answers

He needs to save > or = to $800 sorry if this is wrong I’m a little rusty on this math topic

is 13.48 irrational or rational? ​

Answers

Answer:

It is irrational

Step-by-step explanation:

Rational numbers do not have decimals.

It’s rational and rational numbers can have decimals.

What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)

Answers

6 because it’s one of the three most common

Which equation represents a line which is parallel
to the line y
=
-2 +62

Answers

the answer is hard to find find a hint

Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2)

A) f(x) = 3x + 1
B) f(x) = 3x - 1
C) f(x) = 8x + 10
D) f(x) = 8x - 10

Answers

your answer would be B

Lollollollollollollollollollollollollollollollollollollollollollollollollollollollollol pt. 3

Answers

lolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllol

here's a picture of a seal

i hope you like it

Find three consecutive even integers whose sum is -42

Answers

Answer:

Three consecutive even integers are x, x+2, x+4.

Step-by-step explanation:

Their sum is x+x+2+x+4 = 3x+6.

Hope this helped! <3

find the value of x.
The answer is 13, but I need to show my work

Thank you guys

Answers

Answer:

Know the properties of vertical angles.

Step-by-step explanation:

Vertical angles are equal to each other, so we must make them equal to each other in an equation:

6x+2=80

6x=78

x=13

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?

Answers

Answer:

(0,-26)

Step-by-step explanation:

0 -26

17 -39

34 -52

51 -65

68 -78

1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).

Answers

Answer:

Step-by-step explanation:

A). g(x) = x² - 9x + 14

     Since coefficient of highest degree term (x²) is positive, parabola will open upwards.

    For any parabola opening upwards,

    Right end behavior,

    y → ∞ as x → ∞

B). Let the equation of the linear function is,

    f(x) = mx + b

    Where m = slope of the function

    b = y-intercept

    From the graph attached,

    Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]

    m = -3

    b = -1

    Therefore, function 'f' will be,

    f(x) = (-3)x - 1

    f(x) = -3x - 1    

    g(x) = x² - 9x + 14

           = x² - 7x - 2x + 14

           = x(x - 7) - 2(x - 7)

           = (x - 2)(x - 7)

    If h(x) = f(x)g(x)

    h(x) = -(3x + 1)(x -2)(x - 7)

    For h(x) ≥ 0

    -(3x + 1)(x - 2)(x - 7) ≥ 0

     [tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7

    Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0

C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]

    k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]

    k(x) = -(3x + 1)(x - 7)

    For k(x) = -56

    -(3x + 1)(x - 7) = -56

     3x² -20x - 7 = 56

     3x² - 20x - 63 = 0

     3x² - 27x + 7x - 63 = 0

     3x(x - 9) + 7(x - 9) = 0

     (3x + 7)(x - 9) = 0

     [tex]x=-\frac{7}{3},9[/tex]

This is due soon today can somebody help?
35 points (if they're all right)​ comment if you don't know it

Answers

Answer:

1) P(1,0)Q(-2,3)R(-3,3)S(3,2)

2) (3,4)

3) (0,-4)

4) (1,2)

Step-by-step explanation:

What is |-5 x 6 + 7|?

23


-65


-37


37

Answers

Answer:

your answer is A

Step-by-step explanation:

The answer is positive 23. This is because -5 times 6 is -30 and if you add 7 it will be -23 but it is is the absolute value so your answer will be positive no matter what! Hope this helps! :))))))))))

Convert 2∘F to ∘C round to one decimal place

Answers

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

2 ( 3x + 1 ) = x - 8

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

6x + 2 = x-8

6x - x = -8 -2

5x=-10

x=-2

6x+2=3(3x+14)
set notation

Answers

Answer:

x= -40/3

Step-by-step explanation:

How to estimate the sum of using different methods. 187,176,154,207

Answers

Answer:

tuff

guess you will fail

Step-by-step explanation:

which time has the definition the location where the X and Y axis intersect the ordered pair is (0,0)"? A Ordinate B Abscissa C Origin D Quadrant​

Answers

C origin since is in the middle

the value of x in logx(9/63)=1/2 is​

Answers

Answer: x = 7/2

Step-by-step explanation: u juss simplify 1/2 x 7 to 7/2 so x = 7/2

The value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

What is a logarithmic equation?

"A logarithmic equation is an equation that involves the logarithm of an expression containing a variable."

Given logarithmic equation

[tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x(\frac{1}{7} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x=\frac{1}{2}({7} )[/tex]

⇒ [tex]log_{10}x=\frac{7}{2}[/tex]

⇒ [tex]x = 10^{\frac{7}{2} }[/tex]

⇒ [tex]x = 10^{3+\frac{1}{2} }[/tex]

⇒ [tex]x = 10^{3}[/tex] × [tex]10^{\frac{1}{2} }[/tex]

⇒ [tex]x = 1000\sqrt{10}[/tex]

The value of  [tex]x = 1000\sqrt{10}[/tex]

Hence, the value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

Learn more about logarithmic equation here

https://brainly.com/question/14406114

#SPJ2

Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?

Answers

Answer:

2 3/5 inches in a year

Step-by-step explanation:

28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5

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