Barney Corporation reported the following figures for their year ending December 31, 2019: Gross profit: 538,000 Cost of goods sold: 453,000 Net income: 230,000 Using the data above, calculate Barney Corp's 2019 Gross Profit Margin.

Answers

Answer 1

Answer:

Barney Corp.'s gross profit margin for 2019 = 54.29%

Explanation:

gross profit margin = (net sales - cost of goods sold) / net sales

net sales - cost of goods sold = gross profit = $538,000net sales = gross profit + cost of goods sold = $538,000 +  $453,000 = $991,000

gross profit margin = $538,000 / $991,000 = 0.5429 = 54.29%


Related Questions

The following data were taken from the records of Clarkson Company for the fiscal year ended June 30, 2020.
Raw Materials Inventory 7/1/19 $48,100
Factory Insurance $4,700
Raw Materials Inventory 6/30/20 39,700
Factory Machinery Depreciation 16,100
Finished Goods Inventory 7/1/19 96,100
Factory Utilities 28,700
Finished Goods Inventory 6/30/20 19,900
Office Utilities Expense 8,550
Work in Process Inventory 7/1/19 19,900
Sales Revenue 555,000
Work in Process Inventory 6/30/20 19,900
Sales Discounts 4,300
Direct Labor 139,350
Plant Manager’s Salary 61,100
Indirect Labor 24,560
Factory Property Taxes 9,610
Accounts Receivable 27,100
Factory Repairs 1,500
Raw Materials Purchases 96,500
Cash 32,100
Required:
Prepare an income statement through gross profit.

Answers

Answer:

Clarkson Company

Income statement for the year ended June 30, 2020

Sales Revenue                                                               $555,000

Less Costs of Goods Sold :

Opening Finished Goods Inventory            $96,100

Add Cost of Goods Manufactured            $390,520

Less Closing Finished Goods Inventory    ($19,900)  ($466,720)

Gross Profit                                                                       $83,280

Explanation:

First prepare a Schedule of Manufacturing Costs to determine the Cost of Goods Manufactured.

Schedule of Manufacturing Costs

Factory Insurance                                                      $4,700

Raw Materials ($48,100 + $96,500 - $39,700)    $104,900

Factory Machinery Depreciation                              $16,100

Factory Utilities                                                        $28,700

Direct Labor                                                            $139,350

Plant Manager’s Salary                                             $61,100

Indirect Labor                                                          $24,560

Factory Property Taxes                                             $9,610

Factory Repairs                                                          $1,500

Add Opening Work In Process Inventory              $19,900

Less Closing Work In Process Inventory              ($19,900)

Cost of Goods Manufactured                              $390,520

Suppose that a country has no public debt in year 1 but experiences a budget deficit of billion in year​ 2, a budget surplus of billion in year​ 3, a budget surplus of billion in year​ 4, and a budget deficit of billion in year 5.
A) What is the absolute size of its public debt in year 4?
B) If its real GDP in year 4 is $104 billion, what is this country's public debt as a percentage of real GDP in year 4?

Answers

Answer:

a. 72 billion

b. 69.2%

Explanation:

a. The absolute size of its public debt in year 4 would be the total value of the deficit from year 1 till 4.

= 0 + 50 + 30 - 10 (budget surplus so it reduces deficit) - 2

= 72 billion

b. Percentage of real GDP in year 4;

= (72/104) * 100%

= 69.2%

2. Skip and Peggy are brother and sister and they fight about everything. Skip says that perfectly competitive firms maximize profit where marginal revenue equals marginal cost. Peggy says perfectly competitive firms maximize profit where price equals marginal cost. Settle this sibling rivalry once and for all.

Answers

Answer: They are both right.

Explanation:

Firms in every market will always maximise profit where their Marginal Revenue equals Marginal Cost because at this point, resources are being fully utilized. This is therefore no different in a Perfectly competitive market so Skip is correct.

Peggy is also correct however because in a Perfectly Competitive market, the demand curve is perfectly elastic. This creates a situation where the Price, Marginal Revenue and Average Revenue are all the same and represent the demand curve as well.

With the Price being the same as the Marginal Revenue in a Perfectly competitive firm, that means that where the Price equals Marginal Cost is where the Marginal Revenue equals Marginal Cost as well so indeed perfectly competitive firms maximize profit where price equals marginal cost.

BangBang Percussion Company tried to implement a flextime system. However, after only a few months, they abandoned the new system. Which of the following is the most likely reason BangBang would drop its flextime plan?
A. The employees resented being required to come to work early or stay late.
B. It caused an increase in traffic congestion.
C. Workers tend to be less productive when they have to work longer hours in a single day.
D. It often made communication among employees more difficult.

Answers

Answer: It often made communication among employees more difficult.

Explanation:

Flextime is a way of redesigning the traditional work schedules in such a way that the workers will work at the hours that's convenient for them and flexible rather than working based on normal office schedule or timing.

The most likely reason BangBang would drop its flextime plan is when communication among employees becomes difficult.

Supply Chain Integration Supply chain integration is a major contributing factor to organizational success. The goal of supply chain integration is alignment within the supply chain. As a business leader, how can you achieve greater supply chain integration with suppliers and customers

Answers

Answer:

True.

Explanation:

The integration of the supply chain comes from the use of the total quality management tool that will make the supply chain effective as a whole, generating significant improvements at each stage of the chain, with the help of technologies that streamline operations. Integrating the supply chain means organizing the steps so that there is a reduction in costs, time, waste and continuous optimization of the processes as a whole, making the product reach the final consumer correctly meeting their expectations and needs.

________ are a means for consumers to share text, images, audio and video information with each other and with companies, and vice versa. Group of answer choices Social media Microsites Interstitials Pay-per-click ads Mobile ads

Answers

Answer:

Social Media.

Explanation:

Social media are increasingly being used by people and companies around the world. Through it it is possible to share information, photos, videos, social interactions, etc.

For companies, these platforms are more than just an interaction tool, they can act as a marketing channel that will strengthen the relationship with the consumer, in addition to attracting new customers, strengthening the brand image, engaging consumers, creating shopping desires, providing data on consumer trends, etc.

Social Media are a means for consumers to share text, images, audio and video information with each other.

The following information should be considered:

Social media are increasingly being used by people and companies around the world. Through it is possible to share information, photos, videos, social interactions, etc.

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If an analyst wished to determine the degree to which leverage was being employed by a subject company, she would most likely examine that issuer's:______.
a) sales to debt ratio.
b) debt to equity ratio.
c) current ratio.
d) price to book ratio.

Answers

Answer:

B) debt to equity ratio.

Explanation

The debt to equity ratio is computed by dividing the issuer's long-term debt by their total capitalization. The higher the ratio, the more leverage being used by the company.

Hope this helps! (づ ̄3 ̄)づ╭❤~

A company stocks an SKU with a weekly demand of 600 units and a lead time of 4 weeks. There are 52 weeks in a year. Management will tolerate 1 stock out per year. If sigma for the lead time is 100 and the order quantity is 2500 units, what is:

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A company stocks an SKU with a weekly demand of 600 units and a lead time of 4 weeks. There are 52 weeks in a year. Management will tolerate 1 stock out per year. If sigma for the lead time is 100 and the order quantity is 2500 units, what is:  the safety stock, the average inventory, and the order point?

Answer:

The safety stock = 142 units

The average inventory = 1392 units

The order point = 2542 units

Explanation:

Given that:

the weekly demand = 600 units

lead time = 4 weeks

sigma for the lead time (i.e the standard deviation [tex]\sigma[/tex] ) = 100 units

Order quantity = 2500 units

The objective is to calculate :

the safety stock, the average inventory, and the order point?

To start with the number of order per year.

The number of order per year = Annual demand/Order quantity

The number of order per year =  (Weekly demand × 52)/ Order quantity

The number of order per year =  (600 × 52)/2500

The number of order per year =  31200/2500

The number of order per year = 12.48 times /year

Also, the service level for the safety factor = (Number of order per year - 1)/ number of order per year

the service level for the safety factor = ( 12.48 - 1)/12.48

the service level for the safety factor = 11.48/12.48

the service level for the safety factor = 0.9199

the service level for the safety factor = 91.99%

∴ the safety factor at 91.99% service level = (safety factor at (90% +94%))÷2

the safety factor at 91.99% service level = (1.28 +1.56) ÷2

the safety factor at 91.99% service level = 2.84 ÷2

the safety factor at 91.99% service level = 1.42

Now,

the safety stock = 100 × safety factor at 91.99% service level

the safety stock = 100 × 1.42

the safety stock = 142 units

The order point = safety factor +  demand during lead time

where;

The demand during lead time = weekly demand × 4

The demand during lead time = 600  × 4

The demand during lead time = 2400 units

The order point = safety factor +  demand during lead time

The order point = 142 +  2400

The order point = 2542 units

Finally,

The average inventory = (order quantity ÷ 2) + safety stock

The average inventory = (2500 ÷ 2) + 142

The average inventory =1250 +142

The average inventory = 1392 units

Joseph contributed $25,000 in cash and equipment with a tax basis of $6,400 and a fair market value of $12,600 to Berry Hill Partnership in exchange for a partnership interest.
a. What is Joseph’s tax basis in his partnership interest?
b. What is Berry Hill’s basis in the equipment?

Answers

Answer:

(A) $31,400

(B) $6,400

Explanation:

Joseph contributed $25,000 in cash and equipment

The tax basis is $6,400

The fair market value paid to Bill hill partnership is $12,600

(A) Joseph tax basis in his partnership interest can be calculated as follows

= contribution+tax basis

= $25,000+$6,400

= $31,400

(B) Since Joseph contributed a tax basis of $6,400 to Bill hill partnership in exchange for a partnership interest then, Bill hill's basis in the equipment is $6,400

2. The world has now become a “global village” in many respects. a) Explain any 5 factors working to make the world “a global village” for businesses. b) Discuss 4 major reasons why businesses go global.

Answers

Answer:

the watch has been totally fed tractors working to make a words a Glover villa for measures reserve between two globin respect as a global wind I have been by practice and a business discuss and white business as a work of the word for

An investor buys a total of 360 shares-year bond with a $1,000 face value for $800. The bond's coupon rate is 8% and interest payments are made semi-annually. Waht are the bond's yield to maturity and effective annual yield?

Answers

Answer:

YTM (Annual( = 10.13%

Effective Annual Yield =10.40%  

Explanation:

In order to calculate Yield to maturity, we need to use yield to maturity formula.

Formula: Yield to maturity = [C +(F – P)/n]/(F + P)/2

Where,

C = Coupon amount

F = Face value

n = number of periods

P = Current price

Data

C =  1000 x 8 % = 80

C (6months) = 80 x 6/12 = 40

F = $1000

n = 30 years

P = $800

Solution

YTM = 40 + (1000 – 800/30)/(1000 + 800)/2

YTM = 40 + (200/30)/(1800/2 )

YTM = 40 +( 200/30)/900

YTM = 5.068 semiannual

YTM (Annual( = 10.13%

Effective Annual Yield = [tex](\frac{1+0.1014}{2})^{2-1}[/tex]

Effective Annual Yield =10.40%  

If a company's required rate of return is 10% and, in using the net present value method, a project's net present value is zero, this indicates that the

Answers

Answer:

The project earns a 10% rate of return

Explanation:

This indicates that the “ project earns a 10% rate of return”. Since it is given in the question that the required rate of return is 10% and the company analysis that the net present value of the project is zero. That means the project is profitable and earns a sufficient profit or project giving a sufficient return. Therefore, it can be determined that the project is providing the earning or rate of return 10 per cent.  

The company is termed as the established legal entity that has been built on the basis of the company act of the year 2013. The act demonstrates or depicts the economic activities of the company and also determines the various measures to calculate the earning and the contribution to the growth of the economy.  

The indication in the context is The project earns a 10% rate of return

This signifies that the "promotes affordable a 10% rate of return." Because the needed rate of return is 10percent and also the company analysis suggests that the project's net present value is zero, the answer is yes.

This implies that the project is profitable and produces a sufficient profit or payback. In a conclusion, it can be determined that the challenging design has a 10% earning or rate of return.

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At the beginning of the meeting Kira does not properly lead the team during the ______ stage of team development. Therefore; the team was stuck in the ______ stage.

Answers

Answer:

forming; storming

Explanation:

The forming is the first stage in group development. At this stage, the members of the group reveal their expectations with respect to the work and share their that skils in which they are perfect so that the work could be allocated easily.

After this finishing this step, the next step is storming in which the members give their suggestions to accomplish a task that has assigned to each member of the group

Therefore as per the given situation, the forming and storming are the correct options.

Team development is the ultimate word for the teamwork or the entire growth of the firm with the team as well. The team works as a group in the firm and accomplishes the tasks within the set target in order to accomplish the organization target as well as the individual targets.  

The answer to the blanks are forming; storming

The forming is the first stage in group development. At this stage, the members of the group reveal their expectations with respect to the work and share their skills in which they are perfect so that the work could be allocated easily.

After this step, the next step is storming in which the members give their suggestions to accomplish a task that has been assigned to each member of the group

To know more about the options of the stage of team development, refer to the link below:

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On November 1, Alan Company signed a 120-day, 8% note payable, with a face value of $9,000. What is the maturity value of the note on March 1

Answers

Answer:

$9,236.71

Explanation:

The computation of the maturity value of the note is shown below:-

Interest Amount = ($9000 × 8%) × 120 ÷ 365

= $720 × 120 ÷ 365

= $236.71

So, the Maturity Value is

= Face value + Interest amount

= $9,000 + $236.71

= $9,236.71

Therefore for computing the maturity value we simply applied the above formula.

Garrod Smith is a master woodcarver and sole owner of "Smith Custom Doors, LLC." Which of the following advantages applies to his business form?
A. The business is not a taxable entity.B. The business is a separate legal entity from Garrod Smith.C. The business is not taxed as a corporation or sole proprietorship.D. The business makes Garrod liable for only half of the business' debt.

Answers

Answer: The business is not taxed as a corporation or sole proprietorship.

Explanation:

From the question, we are informed that Garrod Smith is a master woodcarver and sole owner of "Smith Custom Doors, LLC." The advantage that applies to his business form is that the business is not taxed as a corporation or a sole proprietorship.

Fill in the blanks to complete the sentence. Fixed costs equal $25,000; variable cost per unit is $2.50 and units produced are 10,000. The total budgeted costs is

Answers

Answer:

Total cost= $50,000

Explanation:

Giving the following information:

Fixed costs equal $25,000

Variable cost per unit is $2.50

Units produced=10,000

To calculate the total costs, we need to use the following formula:

Total cost= fixed costs + total variable cost

Total cost= 25,000 + 2.5*10,000

Total cost= $50,000

The Total budgeted cost when the fixed cost, variable cost per unit is given should be $50,000.

Calculation of the total budgeted cost:

Since

Fixed costs equal $25,000

The variable cost per unit is $2.50

Units produced=10,000

Now the following formula is used

Total cost= fixed costs + total variable cost

Total cost= 25,000 + 2.5*10,000

Total cost= $50,000

Basically we added the fixed cost and the total variable cost so that the total cost could come.

hence, The Total budgeted cost is $50,000.

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The following standards for variable manufacturing overhead have been established for a company that makes only one product: Standard hours per unit of output 5.2 hours Standard variable overhead rate $11.60 per hour The following data pertain to operations for the last month: Actual hours 2,500 hours Actual total variable manufacturing overhead cost $29,590 Actual output 150 units What is the variable overhead efficiency variance for the month?

Answers

Answer:

Variable overhead efficiency variance= $19,952 unfavorable

Explanation:

Giving the following information:

Standard hours per unit of output 5.2 hours

Standard variable overhead rate $11.60 per hour

Actual hours 2,500 hours

Actual output of 150 units

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

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

Standard quantity= 5.2*150= 780

Variable overhead efficiency variance= (780 - 2,500)*11.6

Variable overhead efficiency variance= $19,952 unfavorable

A coworker of Connor​'s recommends that she maximize the shelf space devoted to those drinks with the highest contribution margin per case. Do you agree with this​ recommendation? Explain briefly.

Answers

Answer:

Yes

Explanation:

Ultimately I agree with the recommendation that has been given by Connor's coworker. By maximizing the shelf space specifically devoted to these drinks it will cause two things to happen. First, customers will mostly notice those drinks which will entice them to buy those drinks instead of the ones they cannot see. The second is that since customers are buying more of these drinks, the increase in sales will also increase profits, but since these items contribution margins are significantly higher than the others, it will cause profits to drastically increase.

A cash equivalent is: Multiple Choice Another name for cash. Close to its maturity date but its market value may still be affected by interest rate changes.

Answers

Complete Question:

A cash equivalent is:

Group of answer choices

a) Generally is within 12 months of its maturity date.

b) Another name for cash.

c) An investment readily convertible to a known amount of cash.

d) Is not considered highly liquid.

e) Close to its maturity date but its market value may still be affected by interest rate

changes

Answer:

c) An investment readily convertible to a known amount of cash.

Explanation:

In Financial accounting, cash equivalents can be defined as any short term and highly liquid investments which can be easily converted or transformed to a known and standard amounts of cash and as such are subjective to little or no risk of changes in value.

This ultimately implies that, a cash equivalent is an investment readily convertible to a known amount of cash.

Under the statements of cash flow, cash equivalents can be classified broadly into three (3) categories and these are;

1. Operating activities.

2. Financing activities.

3. Investing activities.

Answer:

money

Explanation:

ABC uses the conventional retail method to determine its ending inventory at cost. Assume the beginning inventory at cost (retail) were $393,500 ($594,000), purchases during the current year at cost (retail) were $3,408,000 ($5,193,600), freight-in on these purchases totaled $159,500, sales during the current year totaled $4,666,000, and net markups were $414,000. What is the ending inventory value at cost

Answers

Answer:Ending Inventory at Cost= $981,248.40

Explanation:

                                     Cost                      Retail

Beginning inventory  $393,500         $594,000

purchases                      $3,408,000      $5,193,600                

freight in                        $159,500,

net markups                                                     $414,000

Total                          $3,961,000                     $6,201,600

Sales                                                 $4,666,000

Ending Inventory at Retail:=(Beginning inventory + purchases +net markups - Sales during the current year

594,000 + $5,193,600   +  $414,000- $4,666,000,  = $1,535,600

Cost to Retail Ratio:( Beginning inventory + purchases+freight in)/ (Beginning inventory + purchases +net markups )

=($393,500 + $3,408,000 +$159,500,) ÷ (594,000 + $5,193,600   +  $414,000) =$3,961,000/$6, 201, 600= 0.638= 0.639

Ending Inventory at Cost:   Ending Inventory at Retail x Cost to Retail Ratio

$1,535,600 x 0.639 = $981,248.40

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.

In the _____ stage of the product life cycle, competition intensifies and profits diminish. Companies increase their promotional efforts but emphasize selective demand.

Answers

Answer: maturity

Explanation:

The product life cycle is the time used by a product from the day the product is introduced into the market till the day it's withdrawn. The four stages of the product life cycle are the introduction stage, the growth, the maturity stage and finally the decline stage.

In the maturity stage of the product life cycle, competition intensifies and profits diminish. Companies increase their promotional efforts but emphasize selective demand.

Rose Corporation, a calendar year corporation, had accumulated earnings and profits of $40,000 as of January 1, 2014. However, for the first six months of 2014 Rose Corporation had an operating loss of $36,000, and finished the year with a total net operating loss for tax year 2014 of $55,000. Rose Corporation distributed $15,000 to its shareholders on July 1, 2014. Which of the following is correct?A. The entire distribution of $15,000 is taxable as a dividend.B. The entire distribution is not taxable.C. The part of the distribution which is taxable as a dividend is $12,500.D. The part of the distribution which is taxable as a dividend is $14,000.

Answers

Answer:

C. The part of the distribution which is taxable as a dividend is $12,500.

Explanation:

Rose's total loss for the year = $55,000

we must prorate the loss: $55,000 / 12 months = $4,583.33 per month

loss allocated to the first 6 months = $4,583.33 x 6 = $27,500

retained earnings before the distribution = $40,000 - $27,500 = $12,500

since distributions must come from retained earnings to be considered dividends, then only $12,500 will be considered dividends. The remaining $2,500 will be considered a return of capital

Data regarding four different products manufactured by an organization are presented below. The manufacturer has a constrained resource - machine hours.
Product A Product B Product Product D
Selling price per unit $20.00 $25.00 $23.00 $15.00
Variable cost per unit $10.00 $16.00 $11.00 $7.00
Hours to make each unit 5 hours 25 hours 2 hours 35 hours
Rank these four products in order of profitability.
1
2
3
4

Answers

How many mono-, di- and

You sold a car and accepted a note with the following cash flow stream as your payment. What was the effective price you received for the car assuming an interest rate of 6.0%?
A. Year 0-$0.
B. Year 1-$1,000.
C. Year 2-$2,000.
D. Year 3-$2,000 and Year 4-$2,000.

Answers

Answer:

year two

Explanation:because less time still you'll have 2,000

If the budget deficit increases then a. saving and the interest rate rise. b. saving rises and the interest rate falls. c. saving falls and the interest rate rises. d. saving and the interest rate fall.

Answers

Answer:

c. saving falls and the interest rate rises.

Explanation:

If Country A runs a budget deficit, it forces the government to issue bonds at reduced prices in order to raise funds to shore up the decreased government revenue.  When bonds are issued, the government is mopping up the savings, thus reducing the available savings.  With this increased budget deficit, interest rates will rise as the cost of funding increases to match the inflationary effect of the deficit.  And the vicious circle starts.

What transportation mode has very high initial investment costs but gives a very low cost per mile for products that are highly specialized and require no packaging?

Answers

Complete Question:

What transportation mode has very high initial investment costs but gives a very low cost per mile for products that are highly specialized and require no packaging?

Group of answer choices.

A. Highway

B. Rail

C. Water

D. Pipeline

E. Air

Answer:

D. Pipeline.

Explanation:

Pipeline transportation can be defined as the long-distance transportation of consumer fluid products such as liquefied natural gases or crude oil, through a system of interconnected pipes.

As a result of the long distance being covered, pipeline transportation mode has very high initial investment costs because it requires excavation of the soil to enable the laying of pipes running into several miles.

However, the advantage of the pipeline transportation mode is that it gives a very low cost per mile for products that are highly specialized and require no packaging.

Read Case Study 5:2 Gas or Grouse? in Chapter 5 of your textbook Business Ethics Concepts & Cases (8th Edition) by Manuel G. Velasquez and select the best answer for multiple choice questions below.
1. the spending bill was:
a. not necessary for the adjudication of Gas
b. passed by a largely republican congress
c. one of the most important milestones for emissions in the last century
d. the nickname of a politician that overspent funds by the name of William

2. BLM argued that:
a. it is important to treat everybody with respect
b. not everybody deserves an opportunity
c. gas emissions are important inter-globally
d. a significant decline in deer was a cause of action

3. The directional technology to drill was between:
a.$400,000 - $600,000
b. democrats and republicans
c. scientists and physicists
d. the period of 2008-2013

4. Grouse could be affected by:
a. folic acid in the air
b. excavation for silver and coal
c. overpopulation of Grouse
d. things that attract ravens

5. A decline in number of birds resulted because of
a. destruction of grounds for mating
b. 80% of nesting was destroyed
c. poor government internal controls
d. necessary bird control

Answers

Answer:

1-b

2-d

3-a

4-d

5-a

Explanation:

Answer:

blm :)

Explanation:

The Absolute Zero Co. just issued a dividend of $2.70 per share on its common stock. The company is expected to maintain a constant 5.6 percent growth rate in its dividends indefinitely. If the stock sells for $54 a share, what is the company's cost of equity?

Answers

Answer:

10.88%

Explanation:

According to the given situation, the computation of the company's cost of equity is shown below:-

Stock price = (Current dividend × (1 + Growth rate)) ÷ (Cost of equity - Growth rate)

$54 = ($2.70 × (1 + 0.056)) ÷ (Cost of equity - 0.056)

Cost of equity = $2.8512 ÷ $54 + 0.056

= 10.88%

Therefore for computing the cost of equity we simply applied the above formula.

n January 1, 1987, three 100 par value bonds with 6% annual coupons will mature at the end of 1, 2, and 3 years, respectively. The redemption value of each bond is 100. You are given that the prices for these bonds on January 1, 1987 are: Maturity Date Price December 31, 1987 101.92 December 31, 1988 102.84 December 31, 1989 105.51 These prices are based on an interest rate of i in 1987, j in 1988, and k in 1989. Determine j.

Answers

Answer:

j = 4.52%

Explanation:

face value = $100, with 6% annual coupons

bond₁ matures in 1 year (December 31, 1987), market price $101.92

bond₂ matures in 2 years (December 31, 1988), market price $102.84

bond₃ matures in 3 years (December 31, 1989), market price $105.51

we must determine the market interest rate (j) for bond₂, and to do this we will use the approximate yield to maturity formula:

YTM = {coupon + [(face value - market price)/n]} / [(face value + market price)/2]

YTM = {6 + [(100 - 102.84)/2]} / [(100 + 102.84)/2] = 4.58 / 101.42 = 0.045158 = 4.52%

Since the bonds are sold at a premium, it means that the coupon rate is higher than the market rate.

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