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Lady bird [3.3K]
3 years ago
12

Which sentence is​ best?

Business
1 answer:
kogti [31]3 years ago
5 0

I think the answer is a

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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%

8 0
3 years ago
Taubestan produces nearly 97% of the quinoa consumed around the world, and most of it is sold to wealthy nations. Although there
kaheart [24]

Answer:

The correct answer is letter "A": absolute advantage.

Explanation:

Absolute Advantage is an individual company, or country's ability to produce a good or service at a lower cost than any competitor. An organization with an absolute advantage requires fewer inputs or more efficient processes that allows the firm to lower prices and earn higher profits compared to its rivals.

5 0
3 years ago
Which of the following does an employer violate when it terminates an employee for refusing to do something unethical, unsafe, a
maxonik [38]

Answer:

A-public policy

Explanation:

Violation of public policy :A legal claim that an employee has been fired fo not doing and unethical thing which is moral wrong. In many states, for example, an employee can sue for wrongful termination in violation of public policy after being fired for : reporting illegal activities, exercising legal right or not doing illegal things.

4 0
3 years ago
A company wants to have $20,000 at the end of a ten-year period by investing a single sum now. How much needs to be invested in
SSSSS [86.1K]

Answer:

8448.22

Explanation:

We are asked to calculate the present value of 20,000 in ten years.

\frac{amount}{ {(1  + rate)}^{time} }  = present \: value

\frac{20000}{ {(1  + 0.12)}^{10} }  = 8448.22

<em>Resuming: </em>in this kind of problems we are asked for which lump sum becomes a certain amount in a given period of time at an annual rate

3 0
3 years ago
Jose started renting a house to Bill for $600 per month beginning February 1, 2019. Bill paid $1,200 on January 15, 2019, which
rusak2 [61]

Answer: $6,600

Explanation:

Income, although not typically in a taxpayer’s possession, is usually constructively received in the taxable year which is when it is credited to the person's account, or made available so that the person may draw upon it at any time, or could have drawn upon it in the taxable year when the notice of intention to withdraw has already been given.

However, income is not constructively received when the taxpayer’s control of receipt is subject to limitations or restrictions. In this case, the last month’s rent ($600 security deposit) has already been constructively received and is included; but, the rent that was received in January for the December rent has not been constructively received and is therefore not included for a total of $6,600 which was derived from the [$600 deposit which was last month rent + ($600 × 10 months Feb-Nov)].

= $600 + $6000

= $6600

3 0
3 years ago
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