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Katen [24]
3 years ago
15

You currently own shares in Buckeye Mutual Fund (BMF). Your broker calls and recommends buying shares in a small-capitalization

fund managed by Wolverine Investment Group (WIG). Your broker says that this fund will provide significant diversification benefits for your existing holdings. She gives you the following statistics based on the performance of the two funds over the last year.
Portfolio E(return) Std. Dev.
Buckeye Mutual fund 20% 14%
Wolverine investment Grp. 12% 11%

Assume you can earn an average annual yield of 8% on a risk-free security. Which of these funds would be the optimal fund to combine with the risk-free security?

a. Buckeye
b. Wolverine
c. Neither Buckeye nor Wolverine
d. Both are equally good
e. There is not enough information to answer this question
Business
1 answer:
GarryVolchara [31]3 years ago
7 0

Answer:

Option D is the correct option

Explanation:

To find the optimal fund to combine with risk free rate of return, we will use Coefficient of variation,

Coefficient of variation(CoV) = Standard Deviation/Expected Return

CoV of Buckeye = 14%/20% = 0.7

CoV of Wolverine = 11%/12% = 0.9167

So, higher the CoV higher the risk, we will take Buckeye to combine with Risk Free Return.

Hence, Option A

- Required target return of portfolio = 22%

Risk Free return = 8%

Buckeye Return = 20%

Let the weight of Buckeye be X ,& weight of risk free be (1-X)

Required return = (WRF)*(RRF) + (WB)*(RB)

22 = (1-X)(8) + (X)(20)

22 = 8-8X + 20X

14 = 12X

X = 1.17

SO, weight of Buckeye is 1.17 or 117%

while weight of Risk free is -0.17 (1-1.17) or -17%

Hence, ans is OPTION D

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Your son is born today and you want to make him a millionaire by the time he is 50 years old. You deposit $50,000 in an investme
mel-nik [20]

Answer:

1000000= 50000 (1+ \frac{i}{1})^{1*50}

20 = (1+i)^{50}

20^{1/50} = 1+i

i = 20^{1/50} -1 = 0.0617

And if we convert this into % we got i = APR = 6.17 \%

See explanation below.

Explanation:

We assume that we have compounding interest.

For this case we can use the future value formula given by:

FV= PV (1+\frac{i}{n})^{nt}

Where:

FV represent the future value desired = 1000000

PV= represent the present value = 50000

i = the interest rate that we desire to find in fraction

n = number of times that the interest rate is compounding in 1 year, since the rate is annual then n=1

t = represent the number of years= 50 years

So then we have everything in order to replace and we got:

1000000= 50000 (1+ \frac{i}{1})^{1*50}

Now we can solve for the interest rate i like this:

20 = (1+i)^{50}

20^{1/50} = 1+i

i = 20^{1/50} -1 = 0.0617

And if we convert this into % we got i = APR = 6.17 \%

7 0
3 years ago
Volusia, Inc. Is a U. S. -based exporting firm that expects to receive payments denominated in both euros and Canadian dollars i
NARA [144]

From the details that are contained in the question, the portfolio standard deviation is 0.0544 or 5.44%

<h3>How to solve for the portfolio standard deviation</h3>

w1 = weight of euros 1 = 500000/800000

w2 = weight of canadian dollars = 300000/800000

Standard deviation 1 = 8%

Standard deviation 2 = 3%

Correlation coefficient = 0.30

(w1*σ1)² + (w2*σ2)² + (2* w1*σ1* w2*σ2 * 0.30)^0.5

((0.625*0.08)^{2} +(0.375*0.03)^{2} +(2*0.625*0.08*0.375*0.03*0.3)^0^.^5\\\\= 0.0544

Therefore the portfolio standard deviation is given as 0.0544 or 5.44%

Read more on standard deviation here: brainly.com/question/475676

5 0
2 years ago
The Sports Club plans to pay an annual dividend of $1.20 per share next year, $1.12 per share a year for the following two years
Delicious77 [7]

Answer:

$9.63

Explanation:

Data provided in the question:

Year              Annual dividend paid

   1                                      $1.20

   2                                      $1.12

   3                                      $1.12

   4                                      $14.20

Now,

Year       Annual dividend paid        Present value factor     Present value

   1                              $1.20                          0.84246               1.011

   2                             $1.12                          0.84246               0.7949

   3                             $1.12                          0.59793             0.6696

   4                             $14.20                       0.50373             7.1529

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

Worth of stock = 1.011 + 0.7949 + 0.6696 + 7.1529

= $9.6284 ≈ $9.63

Note:

Present value factor = [ 1 ÷ (1 + 0.187)ⁿ]

here,

n is the year

7 0
3 years ago
Suppose there is a decrease in the price of butter. What do we expect to happen to the demand for bread? Assume that bread and b
dimulka [17.4K]

Suppose there is a decrease in the price of butter.There will be an increase in demand for bread.

<h3>Option (B) is correct</h3>

<u>Explanation:</u>

Bread and butter are complementary goods. They are demanded and consumed together. So their demand are positively correlated which means an increase in demand of one will lead to the same increase the demand of other

If the Price of butter decreases,  it will lead to an increase in the demand for butter. With the increasing demand for butter, the demand for bread will automatically increase. Both demands will move in the same direction.

3 0
3 years ago
A process produces two types of products A and B. Product A is done in batches of 1000 units. It involves a setup time of 2 hour
aleksley [76]

Answer:

Explanation:

1. Only product A is produced

40 hours= 40*60*60 = 144,000 seconds

Run time 75 seconds

Setup time 2 hours

Batches= 1000 units

Run time to produce one batch of A = 1000*75sec = 75,000 seconds

Setup time = 2 hours = 7200 seconds

Remaining seconds = 144,000 - (75,000+7200) = 61,800 seconds

Product A manufactured in 61,800 sec = 61,800/75 = 824

Total Product A manufactured are = 1824 units

2. Only product B is produced

40 hours= 40*60*60 = 144,000 seconds

Run time 45 seconds  

Setup time= 1 hour

Batches= 500 units

To produce one batch of A = 500*45sec = 22,500 seconds

Setup time = 6 hours = 6*7200 seconds= 43,200sec

Remaining seconds = 144,000-(22,500+43,200) = 78,300 seconds

Product A manufactured in 78300 sec = 1740

Total Product A manufactured are = 500+1740= 2240 units

3. A and B are produced in a mix of 25% A and 75% B?

Considering loss of 3 hours setup time, 37 hours is left to produce

A is manufactured for = 25% of 37 hours = 9.25 hours = 33300 hours

B is manufactured for = 75% of 37 hours = 27.75 hours = 99900 hours

Production of A = 33300/75 sec= 444 units

Production of B = 99900/45 sec= 2220 units

6 0
3 years ago
Read 2 more answers
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