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zvonat [6]
2 years ago
5

Trevor Ang holds a $400,000 portfolio consisting of the following stocks:

Business
1 answer:
Evgen [1.6K]2 years ago
4 0

Answer:

Portfolio beta = 1.2125

Explanation:

The portfolio beta is a function of the weighted average of the individual stocks' betas that form up the portfolio. To calculate the beta of a portfolio, we use the following formula,

Portfolio Beta = wA * Beta of A  +  wB * Beta of B  + ... + wN * Beta of N

Where,

w is the weight of each stock

Portfolio Beta = 100000/400000 * 1.4  +  70000/400000 * 1.6  +  

30000/400000 * 1.1  +  200000/400000 * 1

Portfolio beta = 1.2125

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A bag contains 9 red marbles, 5 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. Find t
IRINA_888 [86]

a) 0.0260

b) 0.0681

Explanation:

a)

The bag contains:

r = 9 (number of red marbles)

w = 5 (number of white marbles)

b = 6 (number of blue marbles)

So, the total number of marbles in the bag at the beginning is:

n=9+5+6=20

At the 1st attempt, the probability of choosing a red marble is:

p(r)=\frac{r}{n}=\frac{9}{20} (1)

At the 2nd attempt, the 1st red marble is not placed back, so now the number of marbles is (n-1), while the number of red marbles left is (r-1). So the probability of choosing another red marble at the 2nd attempt is

p(r)=\frac{r-1}{n-1}=\frac{8}{19} (2)

With a similar argument, the probabilities of selecting a red marble in the 3rd and 4th attempt are

p(r)=\frac{7}{18} (3)

p(r)=\frac{6}{17} (4)

Therefore, the probability of drawing 4 red marbles in the first 4 attempts without replacing is:

p(rrrr)=\frac{9}{20}\frac{8}{19}\frac{7}{18}\frac{6}{17}=\frac{3024}{116280}=0.0260

b)

At the 1st draw, the probability that the marble is not red is:

p(r^c)=1-p(r)=1-\frac{9}{20}=\frac{11}{20}

At the 2nd draw, there are 9 red marbles left and 19 total marble left. So, the probability of NOT drawing a red marble is:

p(r^c)=1-\frac{9}{19}=\frac{10}{19}

At the 3rd draw, there are 9 red marbles left and 18 total marbles left. So, the probability of NOT drawing a red marble is:

p(r^c)=1-\frac{9}{18}=\frac{9}{18}

Finally, with a similar argument the probability of NOT drawing a red marble at the 4th and last attempt is:

p(r^c)=\frac{8}{17}

So, the total probability of drawing 4 non-red marbles in the first 4 attempts is:

p(r^cr^cr^cr^c)=\frac{11}{20}\frac{10}{19}\frac{9}{18}\frac{8}{17}=\frac{7920}{116,280}=0.0681

6 0
3 years ago
Koby, age 16, works after school at FastFood from 4 p.m. until 11 p.m. On Friday night, therestaurant manager sees that Koby is
guapka [62]

Answer:

find answer in the explanation below

Explanation:

Koby is 16 and that means he is under age for a start. That initial statement makes Fastfood liable.

As it can be seen from the question, the golden rule applies to Koby's case as it is clear he has other things to do with his time.

Primarily, he is a student and that means he has school work to do alongside putting in some hours at Fastfood. But then, he still has the right to be treated right which in this case means him getting some rest. It is therefore safe to say that the manager of Fastfood is trying to take advantage of Koby and should have given him rest.

if he had gotten some rest, he wouldn't have fallen asleep while driving and been in the accident.

Cheers

7 0
2 years ago
A profit-maximizing entrepreneur rents an apple orchard for a day. He is a price taker in both the market for labor and the mark
yaroslaw [1]

Answer:

c. 5

Explanation:

L       Q     MPL (ΔinQ/ΔinL)    VMPL

4      52  

5      60              8                       80

6      66              6                       60

7      70               4                       40

8 72               2                       20

Note: Labour hired per day = L, Total product = Q, Marginal Product of labor=MPL, VMPL =Price*MPL

A firm will maximize the profit by increasing the number of labor as long as VMPL is higher than or equal to the wage rate. In this case, we observe that VMPL ($80)>wage rate ($75) for L=5 but VMPL ($60)<wage rate ($75) for L=6. So, the optimal number of labor to be hired is 5.

7 0
2 years ago
What are products that consumers demand less of when their income rises
8090 [49]

Answer:

what are products that consumers demand less of when their income rises

Products that consumers demand less when their income rises are referred to as inferior goods

Explanation:

It is a natural phenomenon in economics that when there is an income rise from the consumers end, it changes their taste for a higher one which makes demand for some goods less and tagged them as being inferior

3 0
3 years ago
Read 2 more answers
A disadvantage of the corporate form of business ownership is that:
Roman55 [17]

Answer:

b) most shareholders have little direct control over how the company is managed.

4 0
3 years ago
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