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sp2606 [1]
3 years ago
10

The (annual) expected return and standard deviation of returns for 2 assets are as follows: Asset A Asset B E[r] 10% 20% SD[r] 3

0% 50% The correlation between the returns is 0.15. a. Calculate the expected returns and standard deviations of the following portfolios: (i) 80% in A, 20% in B (ii) 50% in A, 50% in B (iii) 20% in A, 80% in B b. Find the weights for a portfolio with an expected return of 25%
Business
1 answer:
polet [3.4K]3 years ago
3 0

Answer:

Part A

(i) Weight(A) = 0.80 , Weight(B) = 0.20

ER(portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

= { 10 * 0.80 } + { 20 * 0.20 }

= 12%

SD(portfolio) = { SD(A)^2 * W(A)^2 + SD(B)^2 * W(B)^2 + 2*SD(A) * SD(B) * W(A) * W(B) * CORR }^1/2

= { 900*0.64 + 2500*0.04 + 2*30*50*0.8*0.2*0.15}^1/2

= {748}^1/2

= 27.35%

(ii) Weight(A) = 0.50 , Weight(B) = 0.50

ER(portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

= { 10 * 0.50 } + { 20 * 0.50 }

= 15%

SD(portfolio) = { SD(A)^2 * W(A)^2 + SD(B)^2 * W(B)^2 + 2*SD(A) * SD(B) * W(A) * W(B) * CORR }^1/2

= { 900*0.25 + 2500*0.25 + 2*30*50*0.5*0.5*0.15}^1/2

= {917.5}^1/2

= 30.29 %

(iii) Weight(A) = 0.20 , Weight(B) = 0.80

ER(portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

= { 10 * 0.20 } + { 20 * 0.80 }

= 18 %

SD(portfolio) = { SD(A)^2 * W(A)^2 + SD(B)^2 * W(B)^2 + 2*SD(A) * SD(B) * W(A) * W(B) * CORR }^1/2

= { 900*0.04 + 2500*0.64 + 2*30*50*0.2*0.8*0.15}^1/2

= {1708}^1/2

= 41.33 %

Part B

Let Weight(A) be x, and Weight(B) be (1-x)

Solving the ER(portfolio) Equation :  

ER(portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

25 = {10 * x } + {20 * (1 - x) }

25 = 10x + 20 - 20x

25 - 20 = -10x

x = - 0.5

Weight (A) = - 0.5 {its Negative which means Short Selling of Stock A}

Weight (B) = 1 - (-0.5) = 1.5

<u><em>Cross-Proof</em></u>

ER (portfolio) = { ER(A) * Weight(A) } + { ER(B) * Weight(B) }

= { 10 * -0.5 } + { 20 * 1.5 }

= { - 5 } + { 30 }

= 25% . Therefore, our Weights are Correct

Calculation of  SD (portfolio)

SD(portfolio) = { SD(A)^2 * W(A)^2 + SD(B)^2 * W(B)^2 + 2*SD(A) * SD(B) * W(A) * W(B) * CORR }^1/2

= { 900*0.25 + 2500*2.25 + 2*30*50*-0.5*1.5*0.15}^1/2

= { 225 + 5625 - 337.5 }^1/2

= {5512.5}1/2

= 74.2 %

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Economic profits are:a.less than accounting profits if implicit costs are greater than zero.b.less than accounting profits even
Lady bird [3.3K]

Answer:

option (a) is correct.

Explanation:

Economic profits refers to the profits which comes out after deducting the implicit costs and explicit costs from the total revenue.

Whereas the accounting profits takes into the effect of explicit costs only.

Implicit cost refers to the loss of money income by choosing some other alternative. It is also known as the opportunity cost.

Explicit costs refers to the costs that are incurred for operating or running a business.  

Accounting profit = Total revenue - Explicit costs

Economic profit = Total revenue - Explicit costs - Implicit costs

Therefore, if the implicit costs are greater than zero then the economic profits is less than the accounting profits.

5 0
3 years ago
There are five basic steps to personal financial planning and their related tasks. Arrange these steps and examples of related t
svp [43]

Answer:

B. Evaluate your financial health. Record all expenses for a month to compare income and expenses.

D. Define your financial goals. Pay off credit​ card(s) by the end of this school term.

A. Develop a plan of action. Develop a budget matching income and projected expenses for the remainder of this academic year.

E. Implement the plan. Reduce expenses in problem areas so amounts do not exceed budgeted projections.

C. Review progress on the​ plan, reevaluate the​ plan, and revise the plan or start over with a new one. Based on this​ year, develop a revised budget for next year based on projected income and expenses.

Explanation:

The five basic steps of financial planning are evaluate, define, develop, implement, and review, or EDDIR for short. It basically by knowing your current position and defining how you want to be in the future. Then you must develop a plan and try to implement that plan. After some prudent time, you should go back and review if the plan was successful or not.

5 0
3 years ago
the stock market of country A has an expected return of 8 percent, and standard deviation of expected reutrn of 5 percent. The s
valkas [14]

With stocks of 8% for A and 16% for B, The global minimum variance is given as 10.5 percent

<h3>How to solve for the variance</h3>

The expected return of the stock for the country a is given as 0.05

The Weight of this country's stock market WA  = 0.5

The expected return of the stock for the country a is given as 0.16

The Weight of this country's stock market Wb  = 0.5

Expected Return of the portfolio can be calculated as

= (WA x RA) + (WB * RB)

Expected Return of the portfolio = (0.5x 0.05 ) +(0.5*0.16)

= 0.105

= 10.5%

Read more on variance here:  brainly.com/question/10687815

5 0
2 years ago
Kesselring Corporation makes one product and has provided the following information to help prepare the master budget for the ne
Pepsi [2]
C just because that’s the answer
7 0
3 years ago
A Rhode Island company produces communion wafers for churches around the country and the world. The little company produces a lo
Furkat [3]

Answer:

80,640 wafers

Explanation:

Calculation to determine How many wafers does the cooling tube hold on average when in production

Using this formula

I = R x T

Where,

R = 112 wafers per second x 60

R = 6720 wafers per minute

T = 12 minutes

Let compute for I using the formula aboi

I = 6720 x 12

I = 80,640 wafers

Therefore How many wafers does the cooling tube hold on average when in production are 80,640 wafers

6 0
3 years ago
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