Answer:
what problem? i dont see it
(Morningstar Funds500, 2008).
Type of Fund
Domestic Equity
International Equity
Specialty Stock
Hybrid Number of Funds
9191
2621
1419
2900
Total Return (%)
4.65
18.15
11.36
6.75
a. Using the number of funds as weights, compute the weighted average total return for
the mutual funds covered by Morningstar.
b. Is there any difficulty associated with using the "number of funds" as the weights in
computing the weighted average total return for Morningstar in part (a)? Discuss. What
else might be used for weights?
c. Suppose you had invested $10,000 in mutual funds at the beginning of 2007 and
diversified the investment by placing $2000 in Domestic Equity funds, $4000 in International Equity funds, $3000 in Specialty Stock funds, and $1000 in Hybrid
funds. What is the expected return on the portfolio?
a. The weighted average total return for the mutual funds covered by Morningstar is 7.81%.
b. A better weight would be the total amount of money invested in each category.
c. The expected return on the portfolio is 12.273%.
a. To compute the weighted average total return for the mutual funds covered by Morningstar, we need to multiply the total return for each category by the number of funds in that category, sum the products, and divide by the total number of funds:
Weighted average total return = [(4.65 x 9191) + (18.15 x 2621) + (11.36 x 1419) + (6.75 x 2900)] / (9191 + 2621 + 1419 + 2900)
Weighted average total return = 7.81%
Therefore, the weighted average total return for the mutual funds covered by Morningstar is 7.81%.
b. Using the "number of funds" as weights in computing the weighted average total return for Morningstar may not be appropriate if the funds in each category have different sizes or investment amounts. In this case, a better weight would be the total amount of money invested in each category. Another possible weight could be the market capitalization of the companies in which the funds are invested.
c. To find the expected return on the portfolio, we need to multiply the amount invested in each category by the expected return for that category, sum the products, and divide by the total amount invested:
Expected return = [(0.2 x 4.65) + (0.4 x 18.15) + (0.3 x 11.36) + (0.1 x 6.75)] / (2000 + 4000 + 3000 + 1000)
Expected return = 12.273%
Therefore, the expected return on the portfolio is 12.273%.
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Answer:
height = 9.19 ft
Step-by-step explanation:
The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.
The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,
Using ratio
sin ∅ = opposite/hypotenuse
sin ∅ = opp/13
sin 45° = opp/13
cross multiply
13 sin 45 = opp
opp = 13 × 0.70710678118
opp = 9.19238815543
height = 9.19 ft
You can use the following base on your equation(y = 13 cos ∅)
The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.
The adjacent side of the triangle will be the unknown side if we use cosine ratio.
cos ∅ = adjacent/hypotenuse
cos 45° = adjacent/13
cross multiply
From your equation you represented adjacent as y therefore,
y = 13 cos 45°
y = 13 × 0.70710678118
y = 9.19238815543
y = 9.19 ft (which is the required height)
Answer:
b=4
Step-by-step explanation:
For this question we need to know the formula of slope that is m which is
where are the points respectively
and hence we have the value of m= -2 which is the slope we simply plug in all the values.
So the value of b=4
Answer:
b is 4
Step-by-step explanation:
Several steps are required to find this answer. You need to use the information you are given as well as the formula y=mx+b. You are given the slope and one of the coordinates. Plug the information into the formula to find b, which is the constant.
The point given is (5,-8)
The slope given is -2
Plug the x and y into y=mx+b
-8=-2(5)+b
-8=-10+b
-8+10=b
b=2
Now that you have the full equation, y=-2x+2 , you can plug in the x-coordinate of the other coordinate to find the missing y-value.
y=-2(-1)+2
y=2+2
y=4
Therefore, the b you are solving for is 4.
The solution is, the probability that both cards are red is 5/22.
Probability can be defined as the ratio of the number of favorableoutcomes to the total number of outcomes of an event.
here, we have,
given that,
Gregg has 12 cards.
Half are black, and half are red.
i.e. red = 6 & black = 6.
He picks two cards out of the deck.
now, we have,
Probability of a red card out of 12 cards = 6/12 = 1/2
Now, probability of a red card of 11 cards = 5/11
so, we get,
Combined probability = 1/2 * 5/11 = 5/22
Hence, The solution is, the probability that both cards are red is 5/22.
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Answer:
Step-by-step explanation:
Solve for y:
Add - 2x to both sides
or
Answer:
-60.
Step-by-step explanation:
Let the unknown number be x.
Number is increased by 26 = x+26
Then result is tripled = 3(x+26)
Then the result is increased by 72 = 3(x+26)+72
Final result is of the number =
Isolate variable terms.
Multiply both sides by 2.
Divide both sides by 5.
Therefore, the required number is -60.