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Bess [88]
2 years ago
10

How many years would it take an amount of money to double if it is invested at a rate of 8% compounded continuously

Business
1 answer:
trapecia [35]2 years ago
5 0

Answer:nine years

Explanation:The result is the number of years, approximately, it'll take for your money to double. For example, if an investment scheme promises an 8% annual compounded rate of return, it will take approximately nine years (72 / 8 = 9) to double the invested money.

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What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and
siniylev [52]

Answer:

a. The expected return on the equally weighted portfolio of the three stocks is 16.23%.

b. The variance of the portfolio is 0.020353.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.

a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

This can be calculated using the following 2 steps:

Step 1: Calculation of expected returns under each state of the economy

Expected return under a state of the economy is the sum of the multiplication of the percentage invested in each stock and the rate of return of each stock under the state of the economy.

This can be calculated using the following formula:

Expected return under a state of the economy = (Percentage invested in Stock A * Return of Stock A under the state of the economy) + (Percentage invested in Stock B * Return of Stock B under the state of the economy) + (Percentage invested in Stock C * Return of Stock C under the state of the economy) …………… (1)

Since we have an equally weighted portfolio, this implies that percentage invested on each stock can be calculated as follows:

Percentage invested on each stock = 100% / 3 = 33.3333333333333%, or 0.333333333333333

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

Expected return under Boom = (0.333333333333333 * 0.09) + (0.333333333333333 * 0.03) + (0.333333333333333 * 0.39) = 0.17

Expected return under Bust = (0.333333333333333 * 0.28) + (0.333333333333333 * 0.34) + (0.333333333333333 * (-0.19)) = 0.143333333333333

Step 2: Calculation of expected return of the portfolio

This can be calculated using the following formula:

Portfolio expected return = (Probability of Boom Occurring * Expected Return under Boom) + (Probability of Bust Occurring * Expected Return under Bust) …………………. (2)

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

Portfolio expected return = (0.71 * 0.17) + (0.29 * 0.143333333333333) = 0.162266666666667, or 16.2266666666667%

Rounding to 2 decimal places as required by the question, we have:

Portfolio expected return = 16.23%

Therefore, the expected return on the equally weighted portfolio of the three stocks is 16.23%.

b. What is the variance of a portfolio invested 16 percent each in A and B and 68 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)

This can be calculated using the following 3 steps:

Step 1: Calculation of expected returns under each state of the economy

Using equation (1) in part a above, we have:

Expected return under Boom = (16% * 0.09) + (16% * 0.03) + (68% * 0.39) = 0.2844

Expected return under Boom = (16% * 0.28) + (16% * 0.34) + (68% * (-0.19)) = -0.03

Step 2: Calculation of expected return of the portfolio

Using equation (2) in part a above, we have:

Portfolio expected return = (0.71 * 0.2844) + (0.29 *(-0.03)) = 0.193224

Step 3: Calculation of the variance of the portfolio

Variance of the portfolio = (Probability of Boom Occurring * (Expected Return under Boom - Portfolio expected return)^2) + (Probability of Bust Occurring * (Expected Return under Bust - Portfolio expected return)^2) …………………….. (3)

Substituting the relevant values into equation (3), we have:

Variance of the portfolio = (0.71 * (0.2844 - 0.193224)^2) + (0.29 * (-0.03- 0.193224)^2) = 0.020352671424

Rounding to 6 decimal places as required by the question, we have:

Variance of the portfolio = 0.020353

Therefore, the variance of the portfolio is 0.020353.

Download pdf
7 0
2 years ago
Data concerning a recent period’s activity in the Prep Department, the first processing department in a company that uses proces
lys-0071 [83]

Answer and Explanation:

a. The computation of cost of ending work in process inventory for materials, conversion, and in total is shown below:-

For material = 2,080 × $15.66

= $32,572.80

For conversion = 930 × $6.23

= $5,793.90

For total cost of work in process inventory = $32,572.80 + $5,793.90

= $38,366.70

b. The computation of cost of the units completed and transferred out for materials, conversion, and in total is shown below:-

For material = 21,700 × $15.66

= $339,822

For Conversion = 21,700 × $6.23

= $135,191

For total cost of completed and transferred units = $339,822 + $135,191

= $475,013

3 0
3 years ago
Assume a company buys a machine worth $1 million and pays for it by borrowing the funds from a bank. The firm's assets will rise
FinnZ [79.3K]

Answer:

True

Explanation:

When machine is purchased, then the assets increase by the carrying or purchase value of the machine purchased. Here, it is of $1 million.

Further, when it is purchased as against any credit, it creates a liability with the same amount.

Since here also the liability amount = $1 million, it will be recorded with the same.

As there is no involvement of Equity or Retained earnings this do not lay any impact on carrying value of owners equity.

Thus, it is True.

6 0
3 years ago
Which is the best timeline entry based on the information above (1 point)?
dlinn [17]
1837 Douglass joined the East Baltimore Improvement Society. 
5 0
3 years ago
Read 2 more answers
A decrease in money demand for some reason other than a change in the price level causes _________.
goldenfox [79]

Answer:

A

Explanation:

3 0
2 years ago
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