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Lapatulllka [165]
3 years ago
5

Please help me,,, if someone can help me.. because this very difficult

Business
1 answer:
shutvik [7]3 years ago
6 0

What is the question?

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Here are returns and standard deviations for four investments. Return (%) Standard Deviation (%) Treasury bills 4.5 0 Stock P 8.
Jlenok [28]

Answer:

a. Standard deviation of the portfolio = 7.00%

b(i) Standard deviation of the portfolio = 30.00%

b(ii) Standard deviation of the portfolio = 4.00%

b(iii) Standard deviation of the portfolio = 21.40%

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Here are returns and standard deviations for four investments.

                                  Return (%)           Standard Deviation (%)

Treasury bills                4.5                                    0

Stock P                          8.0                                   14

Stock Q                        17.0                                  34

Stock R                       21.5                                    26

Calculate the standard deviations of the following portfolios.

a. 50% in Treasury bills, 50% in stock P. (Enter your answer as a percent rounded to 2 decimal places.)

b. 50% each in Q and R, assuming the shares have:

i. perfect positive correlation

ii. perfect negative correlation

iii. no correlation

(Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

The explanation to the answer is now provided as follows:

a. Calculate the standard deviations of 50% in Treasury bills, 50% in stock P. (Enter your answer as a percent rounded to 2 decimal places.)

Since there is no correlation between Treasury bills and stocks, it therefore implies that the correlation coefficient between the Treasury bills and stock P is zero.

The standard deviation between the Treasury bills and stock P can be calculated by first estimating the variance of their returns using the following formula:

Portfolio return variance = (WT^2 * SDT^2) + (WP^2 * SDP^2) + (2 * WT * SDT * WP * SDP * CFtp) ......................... (1)

Where;

WT = Weight of Stock Treasury bills = 50%

WP = Weight of Stock P = 50%

SDT = Standard deviation of Treasury bills = 0

SDP = Standard deviation of stock P = 14%

CFtp = The correlation coefficient between Treasury bills and stock P = 0.45

Substituting all the values into equation (1), we have:

Portfolio return variance = (50%^2 * 0^2) + (50%^2 * 14%^2) + (2 * 50% * 0 * 50% * 14% * 0) = 0.49%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (0.49%)^(1/2) = (0.49)^0.5 = 7.00%

b. 50% each in Q and R

To calculated the standard deviation 50% each in Q and R, we first estimate the variance using the following formula:

Portfolio return variance = (WQ^2 * SDQ^2) + (WR^2 * SDR^2) + (2 * WQ * SDQ * WR * SDR * CFqr) ......................... (2)

Where;

WQ = Weight of Stock Q = 50%

WR = Weight of Stock R = 50%

SDQ = Standard deviation of stock Q = 34%

SDR = Standard deviation of stock R = 26%

b(i). assuming the shares have perfect positive correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = 1

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * 1) = 9.00%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (9.00%)^(1/2) = (9.00%)^0.5 = 30.00%

b(ii). assuming the shares have perfect negative correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = -1

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * (-1)) = 0.16%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (0.16%)^(1/2) = (0.16%)^0.5 = 4.00%

b(iii). assuming the shares have no correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = 0

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * 0) = 4.58%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (4.58%)^(1/2) = (4.58%)^0.5 = 21.40%

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3 years ago
What does country of primary residence mean?
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A tenant whose apartment has just been converted to cooperative ownership
8 0
3 years ago
Although not mandatory, career advisors almost all agree that an objective is extremely important to include on a resume.
ryzh [129]
This is true. Many career advisors will ask you to write an objective because it allows the prospective employer so quickly see who you are and what you want to gain by working at their firm.
6 0
3 years ago
Read 2 more answers
The net income reported on the income statement for the current year was $210,000. Depreciation recorded on equipment and a buil
Lana71 [14]

Answer:

Cash flows from operating activities section

                                                                  Amount in $  

Net income                                             210,000.00    

Depreciation                                              62,500.00        

Change in Accounts Receivable              -2,400.00

Change in Inventories                              13,500.00  

Change in Prepaid Expenses                 -600.00

Change in Accounts Payable                      3,800.00  

Change in Salaries Payable                    <u>     -750.00</u>

Cash flows from operating activities    <u> 286,050.00</u>    

Explanation:

The operating activities includes net income, depreciation and changes in current assets and current liabilities. The depreciation as a non-cash item is added back in the cash flows statement.

An increase in current assets represents an outflow of cash hence the negative value and vice versa. The increase in current liabilities represents an inflow of cash hence it is positive and vice versa. Below are the changes.

                                          Amount in $   Amount in $   D ifference

Change in Accounts Receivable  71,000    73,400       (2,400.00)

Change in Inventories                140,000    126,500   13,500.00  

Change in Prepaid Expenses    7,800       8,400      (600.00)

Change in Accounts Payable  62,600    66,400      3,800.00  

Change in Salaries Payable             9,000       8,250      (750.00)

7 0
3 years ago
Weiss Manufacturing intends to increase capacity by overcoming a bottleneck operation by adding new equipment. Two vendors have
MariettaO [177]

Answer:

Proposal A:  $185,714.29

Proposal B: $160,000

Explanation:

Giving the following information:

$10,000 for installations to be completed.

The revenue generated by each unit is $ 20.00

Proposal A:

Fixed costs= 55,000

The variable cost is $13.00

Proposal B:

Fixed costs= 70,000

The variable cost is $10.00

Break-even point (dollars)= fixed costs/ contribution margin ratio

Proposal A: (55,000+10,000)/[(20-13)/20]= $185,714.29

Proposal B: (70,000 + 10,000)/[(20-10)/20]= $160,000

5 0
3 years ago
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