Suppose you invest equal amounts in a portfolio with an expected return of 16% and a standard deviation of returns of 18% and a risk-free asset with an interest rate of 4%. Calculate the expected return on the resulting portfolio. Group of answer choices

Answers

Answer 1

Answer: 10%

Explanation:

You invest equal amounts in a portfolio yielding 16% and a risk-free asset yielding 4%.

The expected return will be a weighted average of these two;

= (Weight of the Portfolio * Portfolio return) + (Weight of the Portfolio * risk-free rate)

= (0.5 * 16%) + (0.5 * 4%)

= 8% + 2%

= 10%


Related Questions

Instruments had retained earnings of at December​ 31, . Net income for totaled ​, and dividends declared for were . How much retained earnings should report at December​ 31, ​?

Answers

Answer:

B. $ 490,000

Explanation:

According to the given situation, the computation of retained earning in the year end is shown below:-

Ending retained earning = Beginning Retained Earnings + Net Income for the year - Dividend

= $360,000 + $180,000 - $50,000

= $490,000

Therefore for computing the ending retained earning we simply applied the above formula.

Chaz and Dolly enter into a contract under which Chaz agrees to provide maintenance services for Dolly's Ski Resort. Duties under the contract may not be transferred if

Answers

Answer: d. any of the choices.

Explanation:

Chaz is not to transfer the duties to a third party if Dolly got into the agreement with Chaz for any of the following;

If Dolly places special trust in the ability of Chaz to perform the maintenance then that trust should not be broken by transferring the duties to a third party. Dolly went into that contract because they trusted in the abilities of Chaz.If Dolly went into the contract due to the personal skills or talents of Chaz, the duties against would be non-transferable. Chaz's skills were the reason the contract was signed, if these skills are not to be used then the contract will be baseless. By signing with Chaz, Dolly expects a certain level of performance. If the performance that will be made by a third contracting party is materially different from the one that Dolly would have expected from Chez, the duties will not be transferable.

Pharoah Inc., which produces a single product, has prepared the following standard cost sheet for one unit of the product. Direct materials (6 pounds at $1.60 per pound)$9.60 Direct labor (6 hours at $10.00 per hour)$60.00 During the month of April, the company manufactures 310 units and incurs the following actual costs. Direct materials purchased and used (2,400 pounds)$4,080 Direct labor (1,880 hours)$18,612 Compute the total, price, and quantity variances for materials and labor.

Answers

Answer:

Materials

price variance = $240 Unfavorable

quantity variance = $864 Unfavorable

total variance =  $1,104 Unfavorable

Labor

price variance =  $188 Favorable

quantity variance = $200 Unfavorable

total variance = $12 Unfavorable

Explanation:

Materials

price variance = (Aq × Ap) - (Aq × Sp)

                        = (2,400 × $1.70) - (2,400 × $1.60)

                        = $240 Unfavorable

quantity variance = (Aq × Sp) - (Sq × Sp)

                             = (2,400 × $1.60) - (310 × 6 × $1.60)

                             = $864 Unfavorable

total variance = price variance + quantity variance

                       = $240 + $864

                       = $1,104 Unfavorable

Labor

price variance = (Aq × Ap) - (Aq × Sp)

                        = (1,880 × $9.90) - (1,880 × $10.00)

                        = $188 Favorable

quantity variance = (Aq × Sp) - (Sq × Sp)

                             = (1,880 × $10.00) - (310 × 6 × $10.00)

                             = $200 Unfavorable

total variance = price variance + quantity variance

                       = $188 + (-$200)

                       = $12 Unfavorable

All else being equal, an increased demand for U.S. products in the European Union will create a A.)supply of euros. B.)surplus of euros. C.)shortage of euros. D.)demand for euros.

Answers

Answer:

Correct Answer:

B.)surplus of euros.

Explanation:

United States of America as one of the most industrialized country with factories and firms producing goods and services engages in trade with other countries. Should their goods and services be demanded by European countries, it would create surplus of Euros due to the fact that, all the goods would be paid for by the common currency used by the European countries which is Euros.

The balance sheet of Cattleman's Steakhouse shows assets of $86,000 and liabilities of $14,400. The fair value of the assets is $89,400 and the fair value of its liabilities is $14,400. Longhorn paid Cattleman's $82,920 to acquire all of its assets and liabilities. Longhorn should record goodwill on this purchase of:

Answers

Answer:

The goodwill is $7,320

Explanation:

It is given that fair value of assets is $89,400 and fair value of liabilities is $14,400

Fair value difference = Fair value of assets - Fair value of liabilities

Fair value difference = $89,400 - $14,400

Fair value difference = $75,000

Hence, the fair value difference is $75,000

It is given that acquisition price is $82,920  and calculated fair value difference is $75,600. Calculation of goodwill is given below

Goodwill = Acquisition price - Fair value difference

Goodwill = $82,920 - $75,600

Goodwill = $7,320

Hence, the goodwill is $7,320.

Given money demand, by how much would the Moola central bank need to change the money supply to close the output gap?

Answers

Answer:

A. 5%

B. $20

C.-$20

D. $100 increase

E.$2

Explanation:

a. Calculation for the equilibrium interest rate in Moola

When we look at the table we would actually see that Money supply amount of $500 equal the Money demand amount of $500 which means that the equilibrium interest rate will be 5 percent.

b. The level of investment at the equilibrium interest rate.

Since we have 5% as the equilibrium interest rate which means that the investment at the equilibrium interest rate will be $20.

c. If we look at table we are going to see that the potential GDP of the amount of $330 and the actual GDP of the amount of $350 are beside the interest rate of 5 percent and we could as well see that actual GDP is lower than potential GDP which means that there is negative recessionary GDP gap.

Hence,

Recessionary GDP gap= Actual GDP - Potential GDP

Recessional GDP gap=Actual GDP $330- Potential GDP=-$20

Therefore-$20 will be the recessionary GDP gap.

d. In order for us to eliminate the recessionary gap, so that actual GDP amount can equal potential GDP , this means we have to increase the money supply to the amount of $600 which will inturn lead to an increase of $100

e. Calculation for the expenditure multiplier,

Expenditure multiplier=(Potential GDP $350-Actual GDP $330)/($20-$10)

Expenditure multiplier=$20/10

Expenditure multiplier=$2

Therefore the Expenditure multiplier will be $2

The question is incomplete as the table is not given.

In economics, demand and supply are the most important factors for any business to analyze the market. There is an inverse relationship between demand and supply. If the demand is high and supply is low then there will be higher prices of the goods.

The Moola central bank needs to change the supply of money by increasing $100 to close the output gap.

Reason:

In order to make the actual GDP amount to be equal to the potential GDP, that means by increasing the money supply of $600 will give the effect of $100 for covering the gap.

To know more about demand and supply, refer to the link:

https://brainly.com/question/14741584

On January 4, 2021, Runyan Bakery paid $344 million for 10 million shares of Lavery Labeling Company common stock. The investment represents a 30% interest in the net assets of Lavery and gave Runyan the ability to exercise significant influence over Lavery's operations. Runyan received dividends of $4.50 per share on December 15, 2021, and Lavery reported net income of $250 million for the year ended December 31, 2021. The market value of Lavery's common stock at December 31, 2021, was $32 per share. On the purchase date, the book value of Lavery's identifiable net assets was $900 million and: The fair value of Lavery's depreciable assets, with an average remaining useful life of seven years, exceeded their book value by $70 million. The remainder of the excess of the cost of the investment over the book value of net assets purchased was attributable to goodwill. Required: 1. Prepare all appropriate journal entries related to the investment during 2021, assuming Runyan accounts for this investment by the equity method. 2. Prepare the journal entries required by Runyan, assuming that the 10 million shares represent a 10% interest in the net assets of Lavery rather than a 30% interest.

Answers

Answer:

1. Dr Investment in LL $344

Cr Cash $344

Dr Investment in LL $75

Cr Investment Revenue $75

Dr Cash $45

Cr Investment in LL $45

2. Dr Investment in LL $344

Cr Cash $344

Dr Cash $45

Cr Investment in LL $45

Dr Net Unrealized loss -OC1 $24

Cr Fair value adjustment $24

Explanation:

1.

Preparation of the Journal entry to record the invoice made from 10million shares

Dr Investment in LL $344

Cr Cash $344

(To record the invoice made from 10million shares)

Preparation of the Journal entry to record the share in net income

Dr Investment in LL $75

($250×30%)

Cr Investment Revenue $75

(To record the share in net income)

Preparation of the Journal entry to record the dividend income

Dr Cash $45

(10×$4.50 per share)

Cr Investment in LL $45

(To record the dividend income)

2.

Preparation of the Journal entry to record the invoice made from 10million shares

Dr Investment in LL $344

Cr Cash $344

(To record the invoice made from 10million shares)

Preparation of the Journal entry to record the dividend income

Dr Cash $45

(10×$4.50 per share)

Cr Investment in LL $45

(To record the dividend income)

Preparation of the Journal entry to record the adjusting entry

Dr Net Unrealized loss -OC1 $24

(10×$32 per share)-$344

(320-344=-$24)

Cr Fair value adjustment $24

(To record the adjusting entry)

5. Suppose that a firm is in an industry which has a very rapid rate of growth (in sales and output), and is characterized by technological change and innovation. Firms attempt to maximize profits causing new firms to enter the industry attracted by profit potential. The result is that profits are competed away, leading to even greater innovation and change. Is there a limit to this continuous change

Answers

Answer:

If we use high tech industry as our subject here, I would say that there is no limit to continuous change. We can look at he last 45 years and ever since Steve Jobs developed the Apple I, PCs have continuously evolved into different products and their rate of technological evolution has currently increased. Any modern smartphone is hundreds of times more powerful than the first PCs, they are even more powerful than huge computers that existed back then. Currently high tech companies are trying to develop AI, and who knows what after. The only problem is that project lives tend to be very short, but that is part of the game. The profit margins of the firms that are successful are huge, just look at how Apple became the first company to be worth more than 2 trillions.

Standard rate per direct labor-hour $ 2 Standard direct labor-hours for each unit produced 3 Units manufactured 1,000 Actual direct labor-hours worked during the month 3,300 Total actual variable manufacturing overhead $ 6,600 Knowledge Check 01 Assume that direct labor-hours is used as the overhead allocation base. What is the variable overhead efficiency variance

Answers

Answer:

Variable overhead efficiency variance= $600 unfavorable

Explanation:

Giving the following information:

Standard rate per direct labor-hour $2

Standard direct labor-hours for each unit produced 3

Units manufactured 1,000

Actual direct labor-hours worked during the month 3,300

To calculate the variable overhead efficiency variance, we need to use the following formula:

Variable overhead efficiency variance= (Standard Quantity - Actual Quantity)*Standard rate

Variable overhead efficiency variance= (1,000*3 - 3,300)*2

Variable overhead efficiency variance= $600 unfavorable

Pfd Company has debt with a yield to maturity of ​, a cost of equity of ​, and a cost of preferred stock of . The market values of its​ debt, preferred​ stock, and equity are ​million, ​million, and ​million, respectively, and its tax rate is . What is this​ firm's after-tax​ WACC? ​Note: Assume that the firm will always be able to utilize its full interest tax shield.

Answers

Pfd Company has debt with a yield to maturity of 7.5%, a cost of equity of 13.5%, and a cost of preferred stock of 9.5%. The market values of its debt, preferred stock, and equity are $10.5 million, $3.5 million, and $24.5 million, respectively, and its tax rate is 40%. What is this firm's weighted average cost of capital (WACC)?

Answer:

10.68%

Explanation:

As we know that:

WACC = Ke * Ve / (Ve + Vpref + Vd (1-Tax))

+   Kd * Vd*(1-tax) / (Ve + Vpref + Vd*(1-Tax))

  +   Kpref * Vpref / (Ve + Vpref + Vd (1-Tax))

Here

Ke is 13.5%

Pre tax Kd is 7.5%

Kpref is 9.5%

Ve is value of equity and is $24.5 million

Vpref is value of equity $3.5 million

Vd is $10.5 million

Tax rate is 40%

By putting the values, we have:

WACC =       13.5% *$24.5 / ($24.5m + $3.5m + $10.5m (1-40%))

                   + 7.5% * (1-40%) * $45m / ($24.5m + $3.5m + $10.5m (1-40%))

                   + 9.5% * $3.5m / ($24.5m + $3.5m + $10.5m (1-40%))

WACC = 0.045 * 0.273   +   0.095 * 0.091  +  0.135 * 0.636

= 10.68%

Andrews Corp. ended the year carrying $153,576,000 worth of inventory. Had they sold their entire inventory at their current prices, how much more revenue would it have brought to Andrews Corp.?

Answers

Answer:

$153,576,000

Explanation:

The reason is that the company has sold maximum number of units that it can in the year. If it desires to sell all of its stock then it will have to decrease the cost of the product to increase the demand of the product. The least level of cost that the company can charge will be its finished goods recorded value which is the price at which the company breakevens.

Hence the additional sales would be $153,576,000 which is the carrying worth of inventory.

If a company from Country A decides to sell merchandise to a company from Country B, then the company from Country A ________.

Answers

Answer: C) can denominate the sale in either currency and use the foreign exchange market to convert currency

Explanation:

The options to the question are:

A) will denominate the sale in its own currency since it is too hard to convert foreign currency

B) will denominate the sale in the currency of the buyer since it is too hard for them toconvert foreign currency

C) can denominate the sale in either currency and use the foreign exchange market to convert currency

D) can use the OTC market to convert receipts in the future and the exchange markets to convert receipts in the spot market.

Since the company from Country A I the one selling merchandise to the company from Country B, it means that the company from Country A can denominate the sale in either currency and use the foreign exchange market to convert currency.

. Define a primary and secondary market for securities and discuss how they differ. Discuss how the primary market is dependent on the secondary market. (

Answers

Explanation:

Primary market for securities is one that provides access to buy new new issues of stocks and bonds of a company. A good example of primary market is an Initial Public Offering (IPO), organized by a company that wants to sell it's shares for the first time to investors.

While Secondary market, are places to sell securities to a secondary (second) buyer from the current security owner who bought from the primary market.

The primary market is dependent on the secondary market since it is the demand from the secondary market that determines the asset valuation of the primary market.

Problem 9-18 Comprehensive Variance Analysis [LO9-4, LO9-5, LO9-6]

Miller Toy Company manufactures a plastic swimming pool at its Westwood Plant. The plant has been experiencing problems as shown by its June contribution format income statement below:

Flexible Budget Actual
Sales (3,000 pools) $ 179,000 $ 179,000
Variable expenses:
Variable cost of goods sold* 33,390 44,540
Variable selling expenses
11,000

11,000
Total variable expenses
44,390

55,540
Contribution margin
134,610

123,460
Fixed expenses:
Manufacturing overhead 50,000 50,000
Selling and administrative 75,000 75,000
Total fixed expenses
125,000

125,000
Net operating income (loss) $ 9,610 $
(1,540

)
*Contains direct materials, direct labor, and variable manufacturing overhead.

Janet Dunn, who has just been appointed general manager of the Westwood Plant, has been given instructions to "get things under control." Upon reviewing the plant’s income statement, Ms. Dunn has concluded that the major problem lies in the variable cost of goods sold. She has been provided with the following standard cost per swimming pool:

Standard Quantity or Hours Standard Price
or Rate Standard Cost
Direct materials 3.6 pounds $
2.00

per pound $ 7.20
Direct labor 0.5 hours $
6.60

per hour 3.30
Variable manufacturing overhead 0.3 hours* $
2.10

per hour
0.63

Total standard cost per unit $ 11.13
*Based on machine-hours.

During June the plant produced 3,000 pools and incurred the following costs:

Purchased 15,800 pounds of materials at a cost of $2.45 per pound.

Used 10,600 pounds of materials in production. (Finished goods and work in process inventories are insignificant and can be ignored.)

Worked 2,100 direct labor-hours at a cost of $6.30 per hour.

Incurred variable manufacturing overhead cost totaling $3,000 for the month. A total of 1,200 machine-hours was recorded.

It is the company’s policy to close all variances to cost of goods sold on a monthly basis.

Required:

1. Compute the following variances for June:

a. Materials price and quantity variances.

b. Labor rate and efficiency variances.

c. Variable overhead rate and efficiency variances.

2. Summarize the variances that you computed in (1) above by showing the net overall favorable or unfavorable variance for the month.

Answers

Answer:

1 a. Materials price and quantity variances.

Material price variance = (Actual price - Standard price) * Actual Quantity purchased

= ($2.45 - $2) * 15,800

= $0.45 * 15,800

= $7110 (Unfavorable)

Materials Quantity variance = (Actual Quantity used - Standard Quantity allowed) * Standard price  

(10600 - 3000 * 3.6) * $2

= (10,600 -  10,800) * $2

= 200 * $2

= 400 (Favorable)

b. Labor rate and efficiency variances.

Labor rate variance = (Actual rate - standard rate) * Actual hours

= (6.30 - 6.6) * 2,100

= 0.3 * 2,100

= 630 (Favorable)

Labor Efficiency variance  = (Actual hours - standard hours allowed) *  Standard rate  

= (2100 - 3000 * 0.5) * 6.6

= (2,100 - 1,500) * 6.6

= 600 * 6.6

= 3960 (Unfavorable)

c. Variable overhead rate and efficiency variances

Variable overhead rate variance  = (Actual rate - Standard rate * Actual machine hours)

= 3000 - (2.10 * 1200)

= 3,000 - 2,520

= 480 Unfavorable

Variable overhead Efficiency variance = (Actual hours - standard hours allowed)* Standard rate

= (1200 - 3000 * 0.3) * 2.10    

= (1200 - 900) * 2.10

= 300 * 2.10

= 630 (Unfavorable)

2.    Variances                                            Amount

Material price variance                             7,110 U

Material quantity variance                         400 F

Labor rate variance                                    630 F

Labor efficiency variance                           3,960 U

Variable overhead rate variance               480 U

Variable overhead efficiency variance      630 U

Net variance                                                11,150 U

The net variance of all the variance of the month is 11,150 (Unfavorable)

You are organizing an executive event for the company you work for. Write a letter to the person in charge of a venue that you are considering for the event and ask for detailed information regarding dates, services and costs. Be thorough and consider things such as: Entertainment Food Beverages Valet Cost Etc

Answers

Answer:

                                  Mi-Tech Information and Communication INC,

                                  43 D-Drive, Michigan,

                                  USA.

                                  August 8th, 2020.

The Empire Event Center INC,

3 Boulevard avenue, Michigan,

Sir,

            INFORMATION INQUIRY FOR HOSTING AN EVENT

As the communication officer of the above named company, I wish to bring to your notice about our aim of hosing our end of the business year party using your facility. This is based on the agreement reached by the management board.

Unfortunately, due to lack of detailed information and financial implication involved, I was asked to write to your company. The information I need from your company include:

1. The cost of the event Venue

2. The cost of catering of food for 200 people in the venue. Drinks and water would be inclusive.

3. The entertainment, would it be free when renting the event venue or it would attract extra charge?

4. The valet who would render services, what are their charges like or would the cost be catered by your company?

5. The proposed date for the party is 30th and 31st December. Hope your organization is not engaged by that time?

6. What other extra services is available and which your company offers for such events we are planning to host?

7. Is there any other extra cost which my company should be aware of if we are to use your facility?

I will need to relay back to the management board the above answers to questions which I asked above. I look forward to your response soonest.

Yours sincerely,

Adam Michael (Communication officer)

For: Mi-Tech Information and Communication INC.

Explanation:

TB MC Qu. 9-291 Kartman Corporation makes a product with ... Kartman Corporation makes a product with the following standard costs: Standard Quantity or Hours Standard Price or Rate Standard Cost Per Unit Direct materials 8.2 pounds $ 8.70 per pound $ 71.34 Direct labor 0.3 hours $ 41.00 per hour $ 12.30 Variable overhead 0.3 hours $ 5.70 per hour $ 1.71 In June the company's budgeted production was 5,100 units but the actual production was 5,200 units. The company used 23,850 pounds of the direct material and 2,460 direct labor-hours to produce this output. During the month, the company purchased 27,100 pounds of the direct material at a cost of $187,180. The actual direct labor cost was $58,721 and the actual variable overhead cost was $13,331. The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased. The variable overhead rate variance for June is:

Answers

Answer:

Variable manufacturing overhead rate variance= $688.8 favorable

Explanation:

Giving the following information:

Variable overhead 0.3 hours $5.70 per hour

The company used 2,460 direct labor-hours to produce this output. The actual variable overhead cost was $13,331.

To calculate the variable overhead rate variance, we need to use the following formula:

Variable manufacturing overhead rate variance= (standard rate - actual rate)* actual quantity

Actual rate= 13,331/2,460= $5.42

Variable manufacturing overhead rate variance= (5.7 - 5.42)*2,460

Variable manufacturing overhead rate variance= $688.8 favorable

Tax Services prepares tax returns for senior citizens. The standard in terms of​ (direct labor) time spent on each return is hours. The direct labor standard wage rate at the firm is per hour. Last​ month, direct labor hours were used to prepare tax returns. Total wages were .

Answers

Answer:

Tax Services

Total wages were:

= hourly wage rate * total hours spent on returns for the month

For example, if the hourly wage rate is $50 and the total hours spent on the returns equal 560 hours, the total wages will be equal to $28,000 ($50 x 560).

Explanation:

The Tax Services' total wages will be equal to the hourly wage rate multiplied by the total hours spent on returns during the month.  The total hours spent on the returns for the month is obtained by adding up the hours spent on all the returns.  The total wages depend on the hours worked and the standard wage rate that has been established in the firm.

The term crowding-out effect refers to a situation in which a government _______________ results in ______________ interest rates, causing ______________ in private spending on investment and consumer durables.

Answers

Answer: Deficit; higher; a decrease

Explanation:

The term crowding-out effect refers to a situation in which a government deficit results in higher interest rates, causing a decrease in private spending on investment and consumer durables.

The Crowding-out effect is what happens when a Government increases its spending past its revenues and gets a budget deficit. In other to balance its books therefore it will borrow heavily.

If the Government is such a large one like the American Government or the British Government, the borrowing might be so large that it will have the effect of reducing the amount of loanable funds in the market thereby increasing the interest rates due to a reduced supply of loanable funds.

As there are now increased interest rates, it will be more expensive for companies to borrow to spend on investment or for consumers to spend on durables. It will have the effect of crowding out the private sector.

Suppose that it could be demonstrated that a particular tariff on goods from developing countries would transfer benefits from rich Americans to poor Americans and increase total US social welfare. Why might it still be bad from a global social welfare perspective?

Answers

Answer and Explanation:

Even if tariffs on developing countries were to increase and better the welfare of poor Americans, increasing social welfare of Americans in general , it would still have a negative welfare impact globally since it would affect developing countries. Developing countries are poorer countries compared to the US, and if they are not able to export their goods to the US(a developed country) because of high tariffs, it would have a multiplier effect on the countries' economy and generally affect the welfare of individuals(even poorer people) in these countries consequently affecting global welfare.

Copy equipment was acquired at the beginning of the year at a cost of $36,600 that has an estimated residual value of $3,300 and an estimated useful life of 5 years. It is estimated that the machine will output an estimated 1,110,000 copies. This year, 252,000 copies were made. a. Determine the depreciable cost. $ 33,300 b. Determine the depreciation rate. $ per copy c. Determine the units-of-output depreciation for the year. $

Answers

Answer:

a. $33,300

b. $0.03 per copy

c. $7,560

Explanation:

Units of Output = (Cost - Residual Value) × ( Period`s Production / Total Expected Production)

Depreciable Cost = Cost - Residual Value

                             = $36,600 - $3,300

                             = $33,300

Depreciation Rate = Depreciable cost ÷ Expected Production

                              = $33,300 ÷ 1,110,000 copies

                              = $0.03 per copy

Depreciation for the year = Depreciation Rate × Period`s Production

                                            = $0.03 × 252,000 copies

                                            = $7,560

Investment in human capital is very similar to investing in physical capital. True or false? Explain your answer.

Answers

Answer:

True.

Explanation:

This statement is true because investing in human capital and physical capital has the similarity that these assets will lead the organization to carry out its processes, achieve its objectives and goals, and generate liquidity, therefore the similarity is in the importance of capital for the organization.

Human capital can be more difficult to measure, as it is intangible, and physical capital is easier to measure and analyze what the return provides for organizational activities.

However, there are ways to measure how human capital positively impacts the company, so it is necessary to have an effective management that provides the best investment of the ideal human and physical capital for your needs.

Aakash has a liability of 6000 due in four years. This liability will be met with payments of A in two years and B in six years. Aakash is employing a full immunization strategy using an annual effective interest rate of 5%. Calculate ∣∣A−B∣∣.

Answers

Answer:

∣A−B∣ = 586.411

Explanation:

The effective interest rate is 0.05 so at the end of a year total amount will be 1.05 multiplied by principal

Liability = 6,000 ÷ 1.05^4 = Asset

Therefore

6,000 ÷ 1.05^4 = (A ÷ 1.05^2) + (B ÷ 1.05^6) (equation 1)

Multiply through by 1.05^6

6000(1.05^2) = A(1.05^4) + B

B = 6000(1.05^2) - A(1.05^4) (equation 2)

Finding differential from equation 1

4= 2((A ÷ 1.05^2) ÷ (6000 ÷ 1.05^4)) + 6(B ÷ 1.05^6) ÷ (6000 ÷ 1.05^4))

4(6000 ÷ 1.05^4) = 2(A ÷ 1.05^2) +6 (B ÷ 1.05^6)

Multiply through by 1.05^6

4(6000 ÷ 1.05^2) = 2(A ÷ 1.05^4) + 6B

Substitute value of B from equation 2

4(6000 ÷ 1.05^2) = 2(A ÷ 1.05^4) + 6 *6000(1.05^2) - 6*A(1.05^4)

A= 2721.0884

Substitute A in equation 2

B = 6000(1.05^2) - 2721.0884(1.05^4)

B= 3307.5

∣A−B∣ = |2721.0884 - 3307.5|

∣A−B∣ = 586.411

The debt-to-equity ratio for your small business was 1.40 at the end of last year and 1.25 at the end of this year. Your debt-to-equity ratio is:_________

Answers

Answer:

debt-to-equity ratio is 1.33 .

Explanation:

Given the debt equity ratio at the beginning and at end of the year, we can estimate the debt equity ratio of a company as the average of the two.

Average debt-to-equity ratio = (1.40 + 1.25) ÷ 2

                                                = 1.325 or 1.33

A project that provides annual cash flows of $2,700 for nine years costs $8,800 today.
Requirement 1:A. At a required return of 9 percent, what is the NPV of the project?
B. At a required return of 28 percent, what is the NPV of the project?
C. At what discount rate would you be indifferent between accepting the project and rejecting it?

Answers

Answer:

A. $8,187.17

B. $597.38

C. 30%

Explanation:

Calculate the Net Present Value of the Project at the Required Return of 9%

The following is the calculation of NPV using a financial calculator :

($8,000)   CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

9.00 %     i/yr

Shift NPV  $8.187.1666 or $8,187.17

Calculate the Net Present Value of the Project at the Required Return of 9%

The following is the calculation of NPV using a financial calculator :

($8,000)   CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

28.00 %     i/yr

Shift NPV  $597.3765 or $597.38

You will be indifferent between accepting the project and rejecting it at the internal rate of return. The Internal Rate of Return is the interest rate that makes the Present Vale of Cash Flows to equal the Initial Cost of the Investment.

Use the Data given to find the Internal Rate of Return :

($8,000)   CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

$2,700     CFj

Shift IRR 30%

The incredible shrinking​ $50 bill in 1957 was worth​ $50, but in 2007 it is worth only ​$. a. What was the compounded average annual inflation rate​ (loss of purchasing​ power) during this period of​ time? b. Fifty dollars invested in the stock market in 1957 was worth ​$ in 2007. In view of your answer to Part​ (a), what was the annual real interest rate earned on this​ investment?

Answers

Answer:

A. 4.02%

B. 3.49%

Explanation:

a. Computation of the compounded average annual inflation rate​ during this period of​ time

Using this formula

Annual inflation rate=FV/ P *(1+i)^t

Where,

t = 2007 - 1957 = 50 yrs

FV = 6.42

P = 50

Let plug in the formula

Annual inflation rate = (6.42 / 50)^(1/50) - 1

Annual inflation rate= 0.1284 ^ 0.02 - 1

Annual inflation rate= 0.959779 - 1

Annual inflation rate= -0.0402208 *100%

Annual inflation rate=4.02%

b. Computation of the annual real interest rate earned on this​ investment

First step is to find the Norminal ROR

Using this formula

Norminal ROR

= FV/ P *(1+i)^t

Where

FV = 1998

P = 50

let plug in the formula

Norminal ROR = (1998 / 50)^(1/50) -1

Norminal ROR= 39.96 ^ 0.02 - 1

Norminal ROR= 1.076545 - 1

Norminal ROR= 0.0765457 *100

Norminal ROR= 7.65%

Last step is to calculate for annual real interest rate earned using this formula

Annual real interest rate earned = (1+ Nominal ROR) / (1+ Inflation) -1

Let plug in the formula

Annual real interest rate earned=(1+0.0765457) / (1+0.0402208) - 1

Annual real interest rate earned= (1.0765457) / (1.0402208) - 1

Annual real interest rate earned= 1.034920 - 1

Annual real interest rate earned= 0.0349*100

Annual real interest rate earned=3.49%

Therefore the Annual inflation rate will be 4.02% while Annual real interest rate earned will be 3.49%

The ratio of sales to invested assets, which is also a factor in the DuPont formula for determining the rate of return on investment, is called

Answers

Answer:

Investment turnover

Explanation:

Investment turnover is used to compare the revenue earned by a business to the invested assets (equity or debt). It measures how effectively the business is using investment to generate profit.

The number of times investment is converted to revenue is calculated using this method (that is the turnover).

This metric is used in the Dupont formula.

Dupont formula is a financial ratio that evaluates a company's ability to increase return on equity.

Three main components of the Dupont formula are: profit margin, total asset turnover, and financial leverage.

Which type of disclosure must be signed by the buyer and the seller in a nonresidential transaction?

Answers

Answer: Request to use designated sales associate representation.

Explanation:

The options for the question are:

a. Single agent

b. Consent to transition

c. No brokerage relationship

d. Request to use designated sales associate representation

The type of disclosure must be signed by the buyer and the seller in a nonresidential transaction is the request to use designated sales associate representation.

In this disclosure, both the buyer and the seller must sign a disclosure which will state their assets and determine if the threshold is met.

An investment adviser with no place of business in the State is exempt from registration if it renders advice solely to employee benefit plans with assets of at least:

Answers

Answer:

$1,000,000

Explanation:

The investment adviser who doesn't have any place of business in the state and offers his services to only employee benefit plans with assets of assets at least $1,000,000 are exempt from registration. If the asset value exceeds this limit then the investment adviser will be required to register itself.

An investor buys a $1,000 par TIPS security with 3 years to maturity, a semiannual coupon, and a 4.25% coupon rate. If inflation over the next 6 months is 2.50%, what will be the first coupon payment that the TIPS investor will receive?

Answers

Answer:

$1,184.34

Explanation:

Adjusted face value = 1,000 * (1+2.50%) ^ (3*2)

Adjusted face value = 1,000 * 1.025^6

Adjusted face value = 1,000 * 1.159693

Adjusted face value = $1,159.693

Final payment = Coupon + Adjusted principal

= 1,159.693 * (4.25%/2) + 1,159.693

= 1,159.693 * 0.02125 + 1,159.693

= 24.6435 + 1,159.693

= 1,184.3365

= $1,184.34

Assume the annual retention rate for a cell phone subscriber is 70 percent and the customer generates $300 per year in profit. Assuming an annual discount rate of 8 percent, compute the value of a customer.

Answers

Answer:

The value of a customer is $193.2.

Explanation:

The value of the customer can be calculated by considering the profit they generate, retention rate, and the discount.

Value of a customer = Profit per year * Retention rate * (1 - discount)

Value of a customer = 300 * 0.7 * (1 - 0.08)

Value of a customer = 300 * 0.7 * 0.92

Value of a customer = 193.2

Thus, the value of a customer is $193.2.

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