The cross-price elasticity of movie tickets and popcorn will be -2.5 in this example. The cross elasticity of demand in economics describes how responsive a market is to changes in the price of one good relative to another.
An economic concept known as the cross elasticity of demand quantifies how responsively consumers purchase more of one commodity when the price of another good increase. This statistic, which is also known as cross-price elasticity of demand, is determined by dividing the percentage change in the quantity demanded of one commodity by the percentage change in its price.
In other words, it establishes the relationship between the quantity of one thing that is required in response to changes in the price of another good or product. Simply put, it tracks how demand for one good varies in response to changes in the price of another.
Therefore, the cross-price elasticity will be -2.5.
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Flag A used car dealer advertises financing at 0% interest over 3 years with monthly payments. You must pay a processing fee of $500 at signing. The car you like costs $9000. a) What is your effective annual interest rate
Answer:
27,000
Explanation:
if you add then all together you get 2700
Following are selected accounts for a manufacturing company. For each account, indicate whether it will appear on a budgeted income statement (BIS) or a budgeted balance sheet (BBS). If an item will not appear on either budgeted financial statement, write it NA.
a. Sales
b. Administrative salaries paid
c. Accumulated depreciation
d. Depreciation expense
e. Interest paid on bank loan
f. Cash dividends paid
g. Bank loan owed
h. Cost of goods sold
Answer: See explanation
Explanation:
The budgeted income statement is a financial report that lists the estimated revenue, expenses as well as the profit for a given period.
The budgeted balance sheet simply shows the predicted amounts for the assets, liabilities and the equity of a company at the end of the budgeting period.
a. Sales = Budgeted income statement
b. Administrative salaries paid = Budgeted income statement
c. Accumulated depreciation =
Budgeted balance sheet
d. Depreciation expense = Budgeted income statement
e. Interest paid on bank loan = Budgeted income statement
f. Cash dividends paid = N/A
g. Bank loan owed = Budgeted balance sheet
h. Cost of goods sold = Budgeted income statement
_______ generates ideas for quality improvements by comparing specific project practices or product characteristics to those of other projects or products within or outside the performing organization. Group of answer choices Benchmarking
Answer:
the word is Benchmarking
Compound value solving for n) How many years will the following take? a. $ to grow to $ if invested at percent compounded annually b. $ to grow to $ if invested at percent compounded annually c. $ to grow to $ if invested at percent compounded annually d. $ to grow to $ if invested at percent compounded annually
Answer:
Note: The complete question is attached below as picture
A = P(1+r/100)^n Where A is future value, P is present value, r is rate of interest and n is time period
1. A = P(1+r/100)^n
1042.51 = 480(1.09)^n
(1042.51/480) = 1.09^n
Taking log on both sides
log(1042.51/480) = n*log 1.09
n = log(1042.51/480)/log 1.09
n = 9 years.
2. A = P(1+r/100)^n
53.26 = 31(1.07)^n
(53.26/31) = 1.07^n
Taking log on both sides
log(53.26/31) = n*log 1.07
n = log(53.26/31)/log 1.07
n = 8 years
3. A = P(1+r/100)^n
383.59 = 100(1.13)^n
(383.59/100) = 1.13^n
Taking log on both sides
log(383.59/100) = n*log 1.13
n = log(383.59/100)/log 1.13
n = 11 years.
4. A = P(1+r/100)^n
66.91 = 53(1.06)^n
(66.91/53) = 1.06^n
Taking log on both sides
log(66.91/53) = n*log 1.06
n = log(66.91/53)/log 1.06
n = 0.10121516027 / 0.025306
n = 3.9997
n = 4 years.
Journalize the entries for the following transactions:
Mar. 1 Established a petty cash fund of $771.
31 The amount of cash in the petty cash fund is now $632. The fund is replenished based on the following receipts: office supplies, $33 selling expenses, $113.
Record any discrepancy in the cash short and over account. If an amount box does not require an entry, leave it blank.
Answer:
Mar 1
Dr Petty Cash $771.00
Cr Cash $771.00
Mar 31
Dr Office Supplies $33.00
Dr Selling Expenses 113.00
Cr Cash Short and Over $27.00
Cr Cash $119.00
Explanation:
Preparation of the entry to Record any discrepancy in the cash short and over account.
Mar 1
Dr Petty Cash $771.00
Cr Cash $771.00
(To record petty cash)
Mar 31
Dr Office Supplies $33.00
Dr Selling Expenses 113.00
Cr Cash Short and Over $27.00
[($33+$133+$632)-$771]
Cr Cash $119.00
(33+$133-$27)
(To Record discrepancy in the cash short and over account)
Which of the following best describes the journal entry to record the withdrawal of raw materials from the storeroom for use as direct and indirect materials in production?
a. Debit Work in Process, debit Manufacturing Overhead, and credit Raw Materials.
b. Debit Work in Process and credit Raw Materials.
c. Debit Manufacturing Overhead and credit Raw Materials.
d. Debit Work in Process, debit Manufacturing Overhead, and credit Direct Materials.
Debit Work in Process, debit Manufacturing Overhead, and credit Direct Materials best describes the journal entry to record the withdrawal of raw materials from the storeroom for use as direct and indirect materials in production. Thus option d is the correct option
What is a journal entry?A Journal entry can be defined as an accounting record in which the transaction is being made. Every transaction has two reactions, and all of these are accounted for with the help of a journal entry. About which a person can make a journal and a ledger, a balance sheet, and a profit and loss account.
Debit work in progress or any time of credit material describes the journal entry as the raw material is a part of inventory either taken with the help of debit or credit that is paid in cash, or sometimes it is through check or Bank. Therefore option d is the correct option
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What is the plan of action used by management to identify how resources will be allocated, how the company will market in its competitive environment, and how the firm will attain its goals?
Answer: c. Strategy
Explanation:
Strategy refers to the means a person hopes to use in order to get something done. A company's strategy therefore will tell how the company will attempt to reach its goals.
It will tell the plan of action that the company will use and how resources will be allocated to satisfy the requirements of the plan. It will also tell how the company hopes to market its goods so as to gain an advantage in the market and generally everything else that the company needs to meets its goals.
If a $500 billion increase in investment spending increases income by $500 billion in the first round of the multiplier process and by $450 in the second round, income will eventually increase by:_________
A. $2,500 billion
B. $3000 billion
C. $4,000 billion
D. $5,000 billion
Answer:
D. $5,000 billion
Explanation:
quizlet
In Investment Multiplier concept If a $500 billion increase in investment spending increases income by $500 billion in the first round of the multiplier process and by $450 in the second round, income will eventually increase by $5,000 billion. Option D is Correct.
What is Investment Multiplier?The idea that every increase in public or private investment spending has a greater than proportionately favorable influence on aggregate income and the overall economy is known as the "investment multiplier." It is based on John Maynard Keynes' economic theories.
The investment multiplier is the ratio of change in Y to changes in I where Y = investment and I = investment. It can be derived from the equilibrium equation (Y = C + I + G) and the consumption equation (C = a + bY).
Thus with rise in multiplier by $450 and then income will elevated to $5000 Billion.
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The following data from the just completed year are taken from the accounting records of Mason Company:
Sales $656,000
Direct labor cost $80,000
Raw material purchases $135,000
Selling expenses $105,000
Administrative expenses $41,000
Manufacturing overhead
applied to work in process $201,000
Actual manufacturing
overhead costs $222,000
Required:
a. Prepare a schedule of cost of goods manufactured. Assume all raw materials used in production were direct materials.
b. Prepare a schedule of cost of goods sold. Assume that the company's underapplied or overapplied overhead is closed to Cost of Goods Sold.
c. Prepare an income statement.
Answer:
Mason Company
a) Schedule of Cost of Goods Manufactured:
Direct labor cost $80,000
Raw material purchases $135,000
Manufacturing overhead
applied to work in process $201,000
Cost of goods manufactured $416,000
b) Schedule of Cost of Goods Sold:
Cost of goods manufactured $416,000
Under-applied overhead 21,000
Cost of goods sold $437,000
c) Income Statement:
Sales $656,000
Cost of goods sold $437,000
Gross profit $219,000
Selling expenses $105,000
Administrative expenses $41,000
Total expenses $146,000
Net income $73,000
Explanation:
a) Data and Calculations:
Sales $656,000
Direct labor cost $80,000
Raw material purchases $135,000
Selling expenses $105,000
Administrative expenses $41,000
Manufacturing overhead
applied to work in process $201,000
Actual manufacturing
overhead costs $222,000
Under-applied overhead $21,000 ($222,000 - $201,000)
Materials: Standard Actual Standard: 200 pounds at $3.00 per pound $600 Actual: 220 pounds at $2.85 per pound $627 Direct labor: Standard: 400 hours at $15.00 per hour $6,000 Actual: 368 hours at $16.50 per hour $6,072 What is the journal entry to record labor variances
Answer: Dr Work in Process 6000
Dr Labor Rate Variance 552
Cr Labor Efficiency Variance 480
Cr Payroll 6072
Explanation:
First, we need to know the labor rate variance and the labor efficiency variance which will be:
Labor Rate Variance:
= 368 × (16.50-15)
= 552 U
Labor Efficiency Variance:
= 15 × (368-400)
= 480 F
Then, the journal entry to record labor variances will be:
Dr Work in Process 6000
Dr Labor Rate Variance 552
Cr Labor Efficiency Variance 480
Cr Payroll 6072
A depreciation adjustment would include a debit to _____________________ and __________________________ to _______________
Answer:
Depreciation Expense, Credit, Accumulated Depreciation.
what are the purpose of the information in Management?
Answer:
The purpose of information management is to: design, develop, manage, and use information with insight and innovation. support decision making and create value for individuals, organizations, communities, and societies.
Answer:
It helps dictate how businesses form strategies, and implement processes based on them.
Superior has provided the following information for its recent year of operation: The common stock account balance at the beginning of the year was $12,000 and the year-end balance was $16,000. The additional paid-in capital account balance increased $3,700 during the year. The retained earnings balance at the beginning of the year was $70,000 and the year-end balance was $91,000. Net income was $38,000. How much were Superior's dividend declarations during its recent year of operation
Answer: $22000
Explanation:
The amount of Superior's dividend declarations during its recent year of operation will be calculated thus:
Ending retained earnings ($91000) = Beginning retained earnings ($75000) + Net income ($38000) - Dividend declared
$91000 = $113000 - Dividend declared
Dividend declared = $113000 - $91000
Dividend declared = $22000
Therefore, Superior's dividend declarations during its recent year of operation is $22000
Jagadison Co. leases computer equipment to customers under sales-type leases. The equipment has no residual value at the end of the lease and the leases do not contain purchase options. Jagadison desires a return of 11% interest on a four-year lease of equipment with a fair value of $795,564. The present value of an annuity due of $1 at 11% for four years is 3.444. What is the total amount of interest revenue that Jagadison will earn over the life of the lease?
a. 128436
b. 198891
c. 231000
d. 350048
Answer: a. $128,436
Explanation:
The lease payment will be constant and so can be considered to be an annuity.
The fair value of the lease is the present value of the annuity and because this is a lease and payments are made as soon as the asset is received, this is an annuity due.
Present value of annuity due = Annuity * Present value of annuity due interest factor, 11%, 4 years
795,564 = Annuity * 3.444
Annuity = 795,564 / 3.444
= $231,000
Interest revenue is:
= Total amount paid - Fair value
= (231,000 * 4 years) - 795,564
= $128,436
As the operations manager, you prefer to keep a constant workforce and production level, absorbing variations in demand through inventory excesses and shortages. Demand not met is carried over to the following month. Assuming you currently have 23 workers, what is the shortage cost for May
Answer:
Shortage cost for May is $71,000
Explanation:
The expected demand for the month of May is 5000 units.
Shortages for month are carried to next month.
Shortage cost is $10 per month.
(Working days per month x hrs/day x # of workers)
20 days * 8 hours * 23 workers = 3680
Jan : 3680 - 3500 = +180
Feb : 3680 + 180 - 4500 = -640
Mar : 3680 - 640 -6000 = -2980
Apr : 3680 - 2980 -6500 = 5780
May : 3680 - 5780 -5000 = 7100
Sami transferred property with a fair market value of $600 and a tax basis of $300 to a corporation in exchange for stock with a fair market value of $600. In addition, Sami received stock with a fair market value of $50 in exchange for services she provided to the corporation in the incorporation process. Which of the following statements best describes the tax result to Sami because of the exchanges?
a. Sami will recognize $50 of compensation income, but she can count the shares of stock she receives in exchange for services in determining if the control test is met under section 351.
b. Sami will recognize $50 of compensation income, but she cannot count the shares of stock she receives in exchange for services in determining if the control test is met under section 351
c. Sami will not recognize S50 of compensation income, but she can count the shares of stock she receives in exchange for services in determining if the control test is met under section 351
d. Sami will not recognize $50 of compensation income, and she cannot count the shares of stock she receives in exchange for services in determining if the control test is met under section 351
Answer: Sami will recognize $50 of compensation income, but she can count the shares of stock she receives in exchange for services in determining if the control test is met under section 351.
Explanation:
Due to the exchanges in the question, it should be noted that Sami will recognize $50 of compensation income. It should be noted that under section 351, services are not considered to be property. She can then count the stock that she get for the services in order to be able to know whether the control test is met.
K. Johnson, Inc.'s managers want to evaluate the firm's prior-year performance in terms of its contribution to shareholder value. This past year, the firm earned an operating income return on investment of 12 percent, compared to an industry norm of 11 percent. It has been estimated that the firm's investors have an opportunity cost on their funds of 15 percent, which is the same as the firm's overall cost of capital. The firm's total assets for the year were exist100 million.
Required:
a. Compute the amount of economic value created or destroyed by the firm.
b. How does your finding support or fail to support what you would conclude using ratio analysis to evaluate the firm's performance?
Answer:
-3 million dollars
Explanation:
we have EVA = economic value added
to ge the EVA, we use this formula :
(operating return on the assets - cost of the total capital) multiplied by the total assets
total assets = 100 million
operating return = 12 percent
cost of capital = 15 percent
the EVA = 12% - 15% * 100000000
= -0.03 * 100000000
= -3,000,000 dollars
b. The loss of the value of the shareholder is happening even though the firm is earning ROI that is more than the average firm in the industry.
_______________ tasks are non-repetitive in nature and involve considerable
application of knowledge, judgment, and expertise. As such, the teams draw their members from different disciplines and functional units, so that specialized expertise can be applied to the task(s) at hand.
1) Project teams
2) Management teams
3) Parallel teams
4) None of these make sense to me.
5) Work teams
Answer:
1) Project teams
Explanation:
Project management can be defined as the process of designing, planning, developing, leading and execution of a project plan or activities using a set of skills, tools, knowledge, techniques and experience to achieve the set goals and objectives of creating a unique product or service.
The fundamentals of Project Management are considered universal across most businesses and professions.
The fundamentals of Project Management includes;
1. Project initiation
2. Project planning
3. Project execution
4. Monitoring and controlling of the project
5. Adapting and closure of project.
Project teams comprises individuals or group of people that come together as a unit to take on a one-time and non-repetitive tasks that are generally considered to be often complex and as such would require input from members with different types of training, skills, knowledge competence and expertise.
This ultimately implies that, project teams tasks are non-repetitive in nature and involve considerable application of knowledge, skills, competence, judgment, and expertise.
You want to retire exactly 30 years from today with $1,950,000 in your retirement account. If you think you can earn an interest rate on 10.07 percent compounded monthly, how much must you deposit each month to fund your retirement
Answer:
Monthy deposit= $849.78
Explanation:
Giving the following information:
Future value (FV)= $1,950,000
Number fo periods (n)= 30*12= 360
Interest rate (i)= 0.1007/12= 0.008392
To calculate the monthly deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (1,950,000*0.008392) / [(1.008392^360) - 1]
A= $849.78
Tora Co. plans to produce 1,020 units in July. Each unit requires two hours of direct labor. The direct labor rate is $20 per hour. Prepare a direct labor budget for July.\
Answer: $40,800
Explanation:
Each unit requires 2 hours of direct labor.
1,020 units would therefore require:
= 1,020 * 2
= 2,040 hours of labor
The direct labor rate is $20 per hour. If there are 2,040 hours to be worked, the cost would therefore be:
= 20 * 2,040
= $40,800
Pick a major U.S. industry, such as automobiles or computers, and discuss the lapses in technology and innovation on the domestic front that permitted foreign competitors to get a foothold and, in some cases, a dominant share of the market. Who or what do you think was to blame for this situation?
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Pick the correct statement related to net working capital from below. Multiple Choice Net working capital can be ignored in project analysis because any expenditure is normally recouped at the end of the project. Net working capital requirements, such as an increase in accounts receivable, create a cash inflow at the beginning of a project. Net working capital is rarely affected when a new product is introduced. Net working capital can create either an initial cash inflow or outflow. Net working capital is the only expenditure where at least a partial recovery can be made at the end of a project.
Answer:
Net working capital is the only expenditure where at least a partial recovery can be made at the end of a project.
Explanation:
Net working capital is the difference between current assets and current liabilities. Net working capital measures a company's liquidity.
In project analysis, net working capital is part of the cost. It is usually subtracted from cash inflows.
Net working capital is a cash outflow.
Net working capital is the only expenditure where at least a partial recovery can be made at the end of a project.
Mavs Inc. wishes to determine its cost of common stock equity, rs. The market price, P0, of its common stock is $40.07 per share. The firm expects to pay a dividend, D1, of $4.20 at the end of the coming year, 2021. The dividends paid on the outstanding stock over the past 6 years (2015â2020) were as follows:
2015 $3.60
2016 3.65
2017 3.70
2018 3.85
2019 4.00
2020 4.10
What is the cost of common stock equity financing?
Answer:
13.12%
Explanation:
Using the Gordon growth rate model, the cost of common stock equity can be determined using the formula below:
cost of common equity=expected dividend/current market price+growth rate
expected dividend=dividend in a year's time=D1= $4.20
current market price=P0=$40.07
The growth rate of the dividend can be ascertained by using the future value below:
FV=PV*(1+g)^n
FV=2020 dividend=$4.10
PV=2015 dividend=$3.60
g=growth rate=unknown
n=numbr of years between 2015 and 2020=5(dividend has grown for only 5 years not 6 years)
$4.10=$3.60*(1+g)^5
$4.10/$3.60=(1+g)^5
$4.10/$3.60 can be rewritten thus($4.10/$3.60)^1
($4.10/$3.60)^1=(1+g)^5
divide indexes on both sides by 5
($4.10/$3.60)^(1/5)=1+g
g=($4.10/$3.60)^(1/5)-1
g=2.64%
cost of common equity=($4.20/$40.07)+2.64%
cost of common equity=13.12%
Landon Stevens is evaluating the expected performance of two common stocks, Furhman Labs, Inc., and Garten Testing, Inc. The risk-free rate is 4.4 percent, the expected return on the market is 10.6 percent, and the betas of the two stocks are 1.4 and 0.7, respectively. Stevens’s own forecasts of the returns on the two stocks are 10.60 percent for Furhman Labs and 10.50 percent for Garten.
Required:
a. Calculate the required return for each stock.
b. Is each stock undervalued, fairly valued, or overvalued?
Answer:
a. Furhman Labs, Inc. : 13.08%
Garten Testing, Inc. : 8.74%
b. Furhman Labs
the stock is undervalued
Garten Testing
the stock is overvalued
Explanation:
According to the capital asset price model: Expected rate of return = risk free + beta x (market rate of return - risk free rate of return)
Furhman Labs, Inc. : 4.4 + 1.4(10.6 - 4.4) = 13.08%
Garten Testing, Inc. : 4.4 + 0.7(10.6 - 4.4) = 8.74%
A stock is overvalued if its intrinsic value is less than the forecast, and, it is undervalued if its intrinsic value is greater than the forecast
Furhman Labs, intrinsic value = 13.08
forecasted value = 10.60
the stock is undervalued
Garten Testing, Inc , intrinsic value = 8.74%
forecasted value = 10.50
the stock is overvalued
Mr. and Mrs. Nunez attended one of your sales presentations. They’ve asked you to come to their home to clear up a few questions. During the presentation, Mrs. Nunez feels tired and tells you that her husband can finish things up. She goes to bed. At the end of your discussion, Mr. Nunez says that he wants to enroll both himself and his wife. What should you do?
Answer: As long as she is able to do so, only Mrs. Nunez can sign her enrollment form. Mrs. Nunez will have to wake up to sign her form or do so at another time.
Explanation:
Following the information given in the question, since Mr. Nunez says that he wants to enroll both himself and his wife, as long as she is able to do so, only Mrs. Nunez can sign her enrollment form. Mrs. Nunez will have to wake up to sign her form or do so at another time.
It should be noted that it's not appropriate for Mr Nunez to sign the enrollment form for her wife. The wife should be the one doing so in order to in order to make sure that she agrees to the terms of the form and her signature will officially make it enforceable.
From the list below, select the items that are classified as a materials activity. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.)
Raw materials used
Raw materials beginning inventory
Raw materials purchases
Work in process beginning inventory
Goods manufactured
Direct labor used
Factor overhead used
Answer and Explanation:
The classification is as follows:
Under Materials activity
Opening balance of Raw materials inventory
Purchase of the Raw materials purchases
Under Production activity:
OPening balance of Work-in process inventory
Raw material used
Direct labor used
Factory overhead used
Under Sales activity:
Goods manufactured
In this way it should be categorized
Hence, the same should be relevant
Using all of their resources, Company A can make either 100 computers or 50 cell phones while Company B can make either 200 computers or 150 cell phones. If both companies have the same quantity of resources, then ________ has an absolute advantage in computers while ________ has a comparative advantage in cell phones.
Answer:
company B
company B
Explanation:
A company has comparative advantage in production if it produces at a lower opportunity cost when compared to other companies.
Opportunity cost of producing cell phones
company A = 100 / 50 = 2
company B = 200 / 150 = 1.3
The opportunity cost of company B is lower than that of company A. Company B has a comparative advantage in the production of cell phones
A company has absolute advantage in the production of a good or service if it produces more quantity of a good when compared to other countries
Company B produces 200 computers while company A produces 100 computer. Company B has an absolute advantage in the production of computers
Year 2 Year 1 Sales $86,060 $74,200 Total assets at the end of the year 63,800 68,600 Total assets at the beginning of the year 68,600 79,800 a. Determine the asset turnover for The ABC Depot for Year 2 and Year 1. Round to one decimal place.
Answer:
a. We have:
Year 2 asset turnover = 1.3 times
Year 1 asset turnover = 1.0 time
b. Since asset turnover of the ABC Depot increases from 1.0 time in Year 1 to 1.3 times in Year 2, these turnover therefore indicate that the ability of The ABC Depot to use its assets to generate sales more effectively has increased/improved.
Explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
The ABC Depot reported the following data (in millions) in its recent financial statements:
Year 2 Year 1
Sales $86,060 $74,200
Total assets at the end of the year 63,800 68,600
Total assets at the beginning of the year 68,600 79,800
a. Determine the asset turnover for The ABC Depot for Year 2 and Year 1. Round to one decimal place.
b. What do these turnover indicate concerning the trend in the ability of The ABC Depot to effectively use its assets to generate sales?
The explanation of the answers is now provided as follows:
a. Determine the asset turnover for The ABC Depot for Year 2 and Year 1. Round to one decimal place.
The asset turnover can be calculated using the following formula:
Asset turnover = Sales / Average total assets ………………… (1)
Where:
Average total assets = (Total assets at the beginning of the year + Total assets at the end of the year) / 2
Using equation (1), we therefore have:
Year 2 asset turnover = $86,060 / (($68,600 + $63,800) / 2) = 1.3 times
Year 1 asset turnover = $74,200 / (($79,800 +$ 68,600) / 2) = 1.0 time
b. What do these turnover indicate concerning the trend in the ability of The ABC Depot to effectively use its assets to generate sales?
A higher asset turnover indicates that a company is using its assets to generate sales more effectively.
Since asset turnover of the ABC Depot increases from 1.0 time in Year 1 to 1.3 times in Year 2, these turnover therefore indicate that the ability of The ABC Depot to use its assets to generate sales more effectively has increased/improved.
Miller Juice, Inc. is not paying a dividend right now, but is expected to pay a $4.56 dividend three years from now. Investors expect that dividend to grow by 4% every year forever. If the required return on the stock investment is 14%, what should be the price of Miller Juice stock today
Answer:
$35.09
Explanation:
according to the constant dividend growth model
price = d1 / (r - g)
d1 = next dividend to be paid
r = cost of equity
g = growth rate
4.56 x (1.04) / (0.14 - 0.04) = $47.42
($47.42 + 4.56) / 1.14^3 = $35.09
U.S. Steel is considering a plant expansion to produce austenitic, precipitation hardened, duplex, and martensitic stainless steel round bars that is expected to cost $13 million now and another $10 million 1 year from now. If total operating costs will be $1.2 million per year starting 1 year from now, and the estimated salvage value of the plant is virtually zero, how much must the company make annually in years 1 through 10 to recover its investment plus a return of 15% per year
Answer:
$5.5228 million
Or
$5,522,800
Explanation:
First, calculate the present value of all cash outflows
Present value of cash outflow = Initial Cost + ( Year 1 cost x Discount factor 15%, 1 year ) + ( Annual Cost x Annuity factor 15%, 10 years )
Where
Initial cost = $13 million
Year 1 cost = $10 million
Discount factor 15%, 1 year = 1 / ( 1 + 15% )^1 = 0.8696
Annual Cost = $1.2 million
Annuity factor 15%, 10 years = 1 - ( 1 + 15% )^-10 / 15% = 5.019
Placing value sin the formula
Present value of cash outflow = $13 million + ( $10 million x 0.8696 ) + ( $1.2 million x 5.019 )
Present value of cash outflow = $13 million + $8.696 million + $6.0228 million
Present value of cash outflow = $27.7188 million
Now use the following formula to calculate the annual revenue required to recover its investment plus a return of 15% per year
Present value of Annual revenue = Annual Revenue x Annuity factor 15%, 10 years
Annual Revenue = Present value of Annual revenue / Annuity factor 15%, 10 years
Where
Present value of Annual revenue = $27.7188 million
Annuity factor 15%, 10 years = 1 - ( 1 + 15% )^-10 / 15% = 5.019
Placing value sin the formula
Annual Revenue = $27.7188 million / 5.019
Annual Revenue = $5.5228 million
Annual Revenue = $5,522,800
