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viva [34]
3 years ago
15

You have $250,000 to invest in a stock portfolio. Your choices are Stock H, with an expected return of 12.9 percent, and Stock L

, with an expected return of 9.8 percent. If your goal is to create a portfolio with an expected return of 11.1 percent, how much money will you invest in Stock H? In Stock L?
Business
1 answer:
prisoha [69]3 years ago
6 0

Answer:

The investment in stock H will be $104837.5 while the investment in stock L will be $145162.5

Explanation:

The portfolio return is the weighted average return of the individual stocks that form up the portfolio. The weightage of each stock in the portfolio is the investment in a stock as a proportion of investment in the portfolio.

Let x be the weightage of Stock H.

Weightage of Stock L will be (1-x).

Portfolio return = wH * rH  +  wL * rL

Plugging in the values,

0.111 = x  * 0.129   +   (1-x) * 0.098

0.111 = 0.129x  +  0.098  -  0.098x

0.111- 0.098  =  0.031x

0.013 / 0.031  = x

x = 0.41935 or 41.935% rounded off to 3 decimal places

(1-x) = 1 - 0.41935  =  0.58065 or 58.065%

Investment in Stock H = 250000 * 41.935%  =  $104837.5

Investment in Stock L = 250000 * 58.065%  =   $145162.5

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Robert treats coffee and creamer as perfect complements and has very specific requirements for the ratio of creamer to coffee. H
diamong [38]

Answer:

a. Robert's optimal consumption bundle contains <u>9.18</u> cups of coffee and <u>45.88</u> packets of creamer.

b. Zero packets of creamer is the substitution effect.

Explanation:

a. Suppose that Robert has $39.00 to spend on coffee and creamer. His optimal consumption bundle contains _______cups of coffee and _________

The consumption ratio can be stated as follows:

5 Creamer = 1 cup of coffee

Budget line has an equation can also be given as follows:

B = (Pm * Qm) + (Pf * Qf) ...................... (1)

Where;

B = Budget = The amount Robert has to spend on coffee and creamer = $39.00

Pm = Price of creamer = $0.25

Qm = Quantity of creamer = ?

Pf = Price of coffee = $3.00

Qf = Quantity of coffee = ?

39 = (0.25 * Qm) + (3 * Qf)

39 = 0.25Qm + 3Qf

Since "5 Creamer = 1 cup of coffee". This also implies thal 1 creamer = 1 / 5 cup of coffee. Therefore, we have;

39 = 0.25Qm + (3 * 1/5 * Qm)

39 = 0.25Qm + (3/5)Qm

39 = 0.25Qm + 0.60Qm

39 = 0.85Qm

Qm = 39 / 0.85

Qm = 45.88

Qf = 45 / 5 = 9.18

Therefore, Robert's optimal consumption bundle contains <u>9.18</u> cups of coffee and <u>45.88</u> packets of creamer.

b. Now, suppose that the price of creamer rises to $0.50 per packet. What is the substitution effect of this price change?

Since Robert treats coffee and creamer as perfect complements, this implies that there there is nothing like substitution effect under this condition.

Therefore, zero packets of creamer is the substitution effect.

6 0
3 years ago
Evans Ltd. is now considering the possibility of offering a lifetime membership option to its subscribers. Under this proposal,
Ahat [919]

Answer: $329.75

Explanation:

The one year subscription is $40 per year. It is estimated that the average age of current subscribers is 38 and they will leave on average to 78. This means that they will leave for,

= 78 - 38

= 40 years

Evans Ltd  average interest rate on long-term debt is 12% so this means that we can use that 12% as a discount rate for the cash-flow expected.

I have attached a Present Value Interest Factor of an Annuity table to this question. It helps calculate annuities faster.

The above can be treated as an annuity because the $40 is constant every year.

The present value of the $40 over 40 years can be calculated by,

= $40 * present value Interest Factor of an Annuity for 40 years at 12% (look at the table for where 40 years on the y axis intersects with 12% on the x axis)

= $40 * 8.2438 (this is the figure when it is not rounded off to 3 dp)

= $329.752

= $329.75

This shows that the lifetime flat fee of $480 is more profitable for Evans Ltd as opposed to the yearly subscription. They should therefore try to sell more of the lifetime contract with the flat fee.

3 0
3 years ago
a sole proprietor with a tentative loss may deduct which of the following for qualified business use of home expenses?
Elza [17]

Complete Question:

A sole proprietor with a tentative loss may deduct which of the following for qualified business use of home expenses?

a. depreciation

b. mortgage interest

c. rent

d. Utilities

Answer:

b. mortgage interest

Explanation:

The sole proprietor with a tentative loss may deduct expenses for mortgage interest, mortgage insurance premiums, and real estate taxes under the normal rules.   The sole proprietor is not allowed to deduct other expenses that are normally tax-exempt expenses, including depreciation, rent, and utilities.  The amount to be deducted for mortgage interest should not exceed the percentage for business use.

3 0
3 years ago
Black Diamond Company produces snow skis. Each ski requires 2 pounds of carbon fiber. The company’s management predicts that 6,1
frutty [35]

Answer:

Production for the third quarter   159,500

Explanation:

Sales for the period           161,000

Desired ending inventory    4,600

Total production needs     165,600

Beginning Inventory             (6,100)

Production for the third quarter   159,500

The sales for the period and the desired ending inventory are the total units we need for the quarted.

the beginning inventory reduces the production because are units we already have

5 0
3 years ago
When women and minorities hit an invisible barrier within an organization that, because of discrimination, prevents individuals
gregori [183]
<span>This invisible barrier is called the glass ceiling. There are multiple factors that enable such a thing, including (but not limited to) prejudices against women in the work place, lack of recruitment of women to certain types of jobs that are historically performed by men (i.e. science, engineering, etc), and lack of mentoring on the job.</span>
5 0
3 years ago
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