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iren2701 [21]
2 years ago
12

g Suppose that Real GDP is growing at 7.3% per year, and that the population is growing at 2.3% per year. This implies that Real

GDP per person will double in approximately ____ years if current trends continue. A. 10 B. 12.5 C. 14 D. 17.5 E. There is too little information.
Business
1 answer:
Andrei [34K]2 years ago
3 0

C. 14.

Explanation:

The Real GDP's increase or decrease and how much it will take for it to double will not be influenced strictly by the economic factors but also by the demographic ones. If the population is increasing, then the percentage of increase of the population should be taken out of the increase of the Real GDP so that we have the right numbers about it. If the population is decreasing, then the number of decrease is added on the rise of the Real GDP so that we have an accurate number.

In this case we have a population rise of 2.3% and a Real GDP rise of 7.3%. If we take out the number of increase of the population from the Real GDP increase we will get 5%, which is actually representing the real increase in the GDP. In order to calculate how much time will be needed for the Real GDP to double we will use the 5% as increase base.

First we take a number by choice that will represent the current Real GDP. Than we calculate how much are 5% of that number and added to it, representing the Real GDP for the next year, and we will continue to do so until we reach double the figure from the starting one or very close to it.

(10,000 / 100) x 5 = 10,500

(10,500 / 100) x 5 = 11,025

(11.025 / 100) x 5 = 11.576.25

...

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You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know
babymother [125]

Answer:

Sharpe ratio = 0.20

Treynor ratio = –0.005

Explanation:

Note: See the attached excel file for the calculations of average rate of returns, standard deviations and beta used in the calculation below.

a. Calculation of Sharpe ratio

Sharpe ratio refers to a  investment measurement that employed to measure the an investment actual that has been adjusted for the risk associated with the investment.

Sharpe ratio can be calculated using the following formula:

Sharpe ratio = (Average fund rate - Average Risk Free rate) / Standard deviation of fund rate = (5.46% - 2.40%) / 15.05% = 0.20

a. Calculation of Treynor ratio

Treynor ratio refers to investment measurement that is calculated to show the risk of certain investments after the volatility of the market has been taking into consideration.

Treynor ratio can be calculated using the following formula:

Treynor ratio = (Average market return rate - Average Risk Free rate) / Beta = (1.96% - 2.40%) / 87.53% = –0.005

Download xlsx
5 0
3 years ago
In the treatment of U.S. exports and imports, national income accountants _____. rev: 04_09_2018 Multiple Choice subtract export
pogonyaev

Answer:

The correct answer is: add exports but subtract imports in calculating GDP.

Explanation:

National income refers to the production of goods and services by the residents of a nation within the geographical boundaries of a nation in a given period.

In the calculation of national income, net exports are included. This net export is the difference between exports and imports. In other words, we can say that exports are added and imports are included.

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2 years ago
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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Answer:

The answer is letter A.

Explanation:

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