Fore Farms reported a pretax operating loss of $137 million for financial reporting purposes in 2021. Contributing to the loss were (a) a penalty of $5 million assessed by the Environmental Protection Agency for violation of a federal law and paid in 2021 and (b) an estimated loss of $12 million from accruing a loss contingency. The loss will be tax deductible when paid in 2022. The enacted tax rate is 25%. There were no tem
Answer: Hello your question is incomplete attached below is the complete question
answer:
1) attached below
2) Net operating income ( loss ) = - $104 million
Explanation:
Pretax operating loss = - $137 million
Non deductible Losses ; $5 million fine paid in 2021 ,
estimated $12 million loss from contingency that will be tax deductible in 2022
Enacted tax rate = 25%
Taxable operating income = - $120 million
attached below is the solution
Selected financial information for Solomon Company for 2019 follows:
Sales $ 2,500,000
Cost of goods sold 1,750,000
Merchandise inventory
Beginning of year 154,000
End of year 200,000
Required
Assuming that the merchandise inventory buildup was relatively constant, how many times did the merchandise inventory turn over during 2019? (Round your answer to 2 decimal places.)
Merchandise inventory turnover _________ times
Answer:
9.89 times
Explanation:
Calculation to determine the merchandise inventory turn over during 2019
First step is calculate the Average Inventory using this formula
Average Inventory = (Opening Inventory + Closing Inventory) / 2
Let plug in the formula
Average Inventory= (154,000 + 200,000) / 2
Average Inventory= 354,000 / 2
Average Inventory= 177,000
Now let determine the Merchandise Inventory Turnover using this formula
Merchandise Inventory Turnover = Cost of goods sold/ Average Inventory
Let plug in the formula
Merchandise Inventory Turnover= 1,750,000 / 177,000
Merchandise Inventory Turnover= 9.89 times
Therefore Assuming that the merchandise inventory buildup was relatively constant, the merchandise inventory turn over during 2019 is 9.89 times
QS 8-4 Units-of-production depreciation LO P1 On January 1, the Matthews Band pays $65,800 for sound equipment. The band estimates it will use this equipment for four years and perform 200 concerts. It estimates that after four years it can sell the equipment for $2,000. During the first year, the band performs 45 concerts. Compute the first-year depreciation using the units-of-production method.
Answer:
$14,355
Explanation:
Activity method based on output = (output produced that year / total output of the machine) x (Cost of asset - Salvage value)
(45/200) x ($65,800 - $2000) =
0.225 x 63800
$14355
The rate of earnings is 6% and the cash to be received in 4 years is $20,000. The present value amount, using the following partial table of present
value of $1 at compound interest is
Year
6%
10%
12%
1
0.943
0.909
0.893
2
0.890
0.826
0.797
3
0.840
0.751
0.712
4
0.792
0.683
0.636
a. $12.720
Ob. $16,800
Oc. 513,660
Od. $15.840
Answer:
$15,840
Explanation:
Present value = Future value / (1 + r)^n
Rate, r = 6% = 0.06
Future value = $20,000
Number of years, n = 4
Present value = $20000 / (1 + 0.06)^4
Present value = $20000 / 1.06^4
Present value = $20,000 / 1.26247696
Present value = $15841.873
Using the partial table of present values :
Present value = Future value * PV(6%, 4)
PV at 6%, 4 years = 0.792
Present value = $20,000 * 0.792 = $15,840
When real GDP grows more slowly than potential GDP, labor productivity falls. the unemployment rate rises. nominal GDP rises. the unemployment rate falls.
Answer:
the unemployment rate rises.
Explanation:
Gross domestic product is the total sum of final goods and services produced in an economy within a given period which is usually a year
GDP calculated using the expenditure approach = Consumption spending by households + Investment spending by businesses + Government spending + Net export
Potential GDP is the GDP of an economy when labour and capital are employed at their sustainable rate.
Real GDP has been adjusted for inflation. It reflects the value of goods and services produced in an economy.
When the real GDP of an economy grows more slowly than potential GDP, it means that the resources in the economy, labour and capital are not employed at their sustainable rate. This is referred to as output gap. As a result of the output gap, the unemployment level rises
pls help me with in this i just want the 3 and 4th one...
Answer:
3. The special concept reminded by the phrase "Exchanging Butter Cake for Dates" is:
Trade by barter.
4. The need fulfilled by this business is people's demand for Cake.
The want fulfilled by this business is the organization's supply of dates for its production of cake.
Explanation:
A trade by barter involves the exchange of one good or service by one trading party for another good or service from the coincidental trading party without the use of money or monetary mediums. Trade by barter enables people without money to fulfill their needs. The major problem with trade by barter is that there must be coincidence of wants by the two trading partners. This is not always feasible.
Common property resources like fish stocks in open waters tend to be overutilized because :________.
A. the marginal social cost is always equal to the private marginal cost.
B. the marginal social cost is less than the private marginal cost.
C. the marginal social cost is greater than the private marginal cost.
D. none of the above.
Answer:
C. the marginal social cost is greater than the private marginal cost.
Explanation:
In the case when there is common property resources such as the fish stock that lies in the open waters should be overutilized as the marginal social cost should be more than the private marginal cost because if there is high utlization so it will make the problem in the environment also the cost should be borne by the present and upcoming generations
Therefore the option c is correct
Total planned expenditure (equals total output) is 14,000 when autonomous consumption expenditure is 450. When autonomous consumption expenditure falls to 400, total planned expenditure (equals total output) is 13,800. The marginal propensity to consume is _______. A) 0.89 B) 0.75 C) 0.99 D) 0.44
Answer:
The marginal propensity to consume = 0.25
Explanation:
Given:
Planned expenditure = 14,000
Consumption expenditure = 450
New consumption expenditure = 400
New planned expenditure = 13,800
Find:
The marginal propensity to consume
Computation:
The marginal propensity to consume = [Consumption expenditure - New consumption expenditure] / [Planned expenditure - New planned expenditure]
The marginal propensity to consume = [450 - 400] / [14,000 - 13,800]
The marginal propensity to consume = 50 / 200
The marginal propensity to consume = 0.25
MC Qu. 74 Differential Chemical produced... Differential Chemical produced 12,000 gallons of Preon and 16,000 gallons of Preon. Joint costs incurred in producing the two products totaled $8,500. At the split-off point, Preon has a market value of $6.00 per gallon and Preon $3.00 per gallon. Compute the portion of the joint costs to be allocated to Preon if the value basis is used.
Answer:
$5,100
Explanation:
The calculation of the portion of the joint cost for Preon allocation is shown below:
= Total joint cost for two products × (Preon cost ÷ Total cost)
Here,
Total joint cost = $8,500
Preon cost = 12,000 gallons × $6 per gallon = $72,000
And, the total cost is
= 12,000 gallons × $6 per gallon + 16,000 gallons × $3 per gallon
= $72,000 + $48,000
= $120,000
So, the allocated cost should be
= $8,500 × ($72,000 ÷ $120,000)
= $5,100
= $4,500
Customers exhibit a Poisson arrival distribution and the barber must provide an exponential service distribution. Market data indicates that customers arrive at a rate of 2 per hour. It will take an average of 20 minutes to give a haircut, and that business would remain unchanged with customers arriving at a rate of two per hour. Find the following information to help Benny decide if a second chair should be added:
a. The average number of customers waiting.
b. The average time a customer waits.
c. The average time a customer is in the shop.
Answer: the answer is b
Explanation:
An important feature of a job order cost system is that each job:_______.
a. must be similar to previous jobs completed .
b. must be completed before a new job is accepted.
c. consists of one unit of output
d. has its own distinguishing characteristics .
Answer:
D
Explanation:
it has it's own distinguishing characteristics ....Form used to record the cost chargeable to a specific job and to determine the total and unit cost of the completed job
The cost of leather used to produce leather jackets falls by 30%. This will result in ________.
a. a decrease in demand.
b. an increase in the quantity demanded.
c. an increase in demand.
There are different kinds of cost. The above scenario will result in an increase in demand.
A reduction in the price of leather jackets often makes more people to buy leather jackets, hence reducing the demand for sweatshirts.If the price of a good is said to falls, the quantity supplied of that good also decreases. The lower the price, the more the demand for that product.
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Risk is a necessary ‘evil’ evil’, support this assessment and give advice risk
managers on how to resolve the effects.
For a high-risk investment, managers require a high reward.
Stock dividends distributable should be classified on the:________.
A) income statement as an expense.
B) balance sheet as an asset.
C) balance sheet as a liability.
D) balance sheet as an item of stockholders' equity.
Answer:
a) income statement as an expense
a) "Tranings are are the most important part of any occupation": justify it
Answer:
Training is important because it represents a good opportunity for employees to grow their knowledge base and improve their job skills to become more effective in the workplace. Despite the cost of training for employees, the return on investment is immense if it is consistent.
There are several reasons it is important for employers to initiate training programs for their employees, such as:
It improves skills and knowledge
Employee training programs help improve the knowledge and skills of employees to match the various changes in the industry. These improvements will positively affect the productivity of workers, which can increase the profits and efficiency of an organization. Some of the things employees may learn through training include work ethics, human relations and safety.
It satisfies the recommendations of performance appraisal.
When an organization's employee performance appraisals suggest the need for improvement on a particular subject or skill, training programs can be organized for staff members to help satisfy this requirement. Training can therefore address an identified problem area and work toward a solution.
It prepares employees for higher responsibilities.
Training programs can also help prepare employees who are moving into higher roles and taking on more responsibilities in an organization. These programs will help them learn the skills that are required to function effectively in their new positions. For example, they may be trained in leadership skills or in a specific software they will use in their new role.
It shows employees they are valued.
Implementing training programs in the workplace will help employees feel like the company is invested in them. By continuing to teach your employees new skills and abilities, they will not just become better workers, they will feel like more productive members of the organization. This will improve their morale as well as their workplace capabilities.
It tests the efficiency of a new performance management system.
Employee training programs help an organization test the efficiency and effectiveness of a new performance management system, which will help HR establish clearer performance expectations. Using these systems to train your employees will reinforce the necessity of meeting goals and help employees better understand what is expected of them.
It improves IT and computer skills.
Training programs help employees learn about specific computer skills and IT topics, such as the use of software systems. Companies may train their employees to create graphs and spreadsheets, edit data in their database and understand network arrangements in order to provide a more comprehensive understanding of computers to improve workplace efficiency.
Nate borrowed $38,672 from bank and his friends to expand his casino business. Nate set up an aim to pay $2,450 at the end of each week for 16 weeks. Assume each year has 52 weeks. What are the nominal rate per year and the effective interest rate per year?
Answer:
Hence, the Nominal annual rate is 20.28%.
Effective annual rate is 22.43%.
Explanation:
Amount borrowed = $38,672.
Weekly repayment for 16 weeks = $2,500.
Loan repayment = (Loan amount x r) / {1-(1+r)-n}
$2,450 = ($38,672 x r)/{1-(1+r)-16}
r= 0.39%
Weekly interest rate = 0.39%
Nominal annual rate = 0.39 % x 52 weeks = 20.28%
Effective annual rate = [tex](1 + 0.0039^{52} ) - 1[/tex] = 0.2243 = 22.43%
A company produces a single product. Variable production costs are $12.50 per unit and variable selling and administrative expenses are $3.50 per unit. Fixed manufacturing overhead totals $41,000 and fixed selling and administration expenses total $45,000. Assuming a beginning inventory of zero, production of 4,500 units and sales of 3,850 units, the dollar value of the ending inventory under variable costing would be: Multiple Choice $10,400 $5,850 $8,125 $13,975
Answer:
the third option is correct - $8,125
Explanation:
The calculation of the ending inventory under variable costing is given below:
Ending inventory value (Variable costing) os
= Variable production cost per unit × No. of units
= $12.50 × (4,500 - 3,850)
= $8,125,
Hence, the ending inventory under variable costing is $8,125
Therefore the third option is correct
On December 1 of 2017, APU, a U.S. company, makes a sale to a Spanish customer. Sales price is 1,600,000 euro, and the spot rate is $1.45 per euro. APU allows the customer 3 months to pay On March 1 of 2018, APU collects the sales amount with spot rate $1.49 per euro.
Prepare the journal entries.
Answer:
APU
Journal Entries:
December 1, 2017:
Debit Accounts receivable $2,320,000
Credit Sales Revenue $2,320,000
To record the sale of goods on account.
March 1, 2018:
Debit Cash $2,384,000
Credit Accounts receivable $2,320,000
Credit Gain from Foreign Exchange $64,000
To record the receipt of cash, including the gain from forex.
Explanation:
a) Data and Analysis:
December 1, 2017: Accounts receivable $2,320,000 Sales Revenue $2,320,000 (1,600,000 * $1.45)
March 1, 2018: Cash $2,384,000 (1,600,000 * $1.49) Accounts receivable $2,320,000 Gain from Foreign Exchange $64,000 (1,600,000 * ($1.49 - $1.45)
The biggest question Sally has for you is about recovering the initial capital invested which she wishes to bundle as the initial building and land costs well as the future roof and common area expenses. The income stream for the apartment complex is only monthly rent money. How much should she charge for monthly rent in order to at least recover the bundled capital invested
Answer:
Sally should charge $1,280 per month for 18 months.
Explanation:
Sally has bought the land for $8,000 and she has invested in constructing the building $12,040. She has further invested $2,000 for future roof and common area expenses amount to $1,000. The total capital she has invested is $23,040. She should charge $1,280 per month for next 18 months in order to cover the bundled capital investment.
The maximum price that can be asked for the new jPad model is $2,000 at which point they would sell 0 units. It costs Pear $600 to manufacturer and deliver these jPads to their stores. Determine the optimal price for this new jPad, which can be assumed to operate in a monopoly (at least upon introduction).
Answer: $700
Explanation:
Based on the information given in the question, the optimal price for this new jPad, which can be assumed to operate in a monopoly will be calculated thus:
P = 2000+Q
TR = P × Q
TR = (2000 + Q) × Q
TR = 2000Q + Q²
MR = 2000 + 2Q
MC = 600
Since marginal revenue equals to marginal cost, this will be:
MR = MC
2000+2Q = 600
2Q = 2000 - 600
2Q = 1400
Q = 1400/2
Q = 700
Blue Spruce University sells 4,500 season basketball tickets at $140 each for its 12-game home schedule. Give the entry to record (a) the sale of the season tickets and (b) the revenue recognized after playing the first home game.
Answer:
a. Total revenue received:
= 4,500 * 140
= $630,000
Date Account Title Debit Credit
XX-XX-XXXX Cash $630,000
Unearned revenue $630,000
Revenue is unearned because the games have not been played yet therefore Blue Spruce University has not provided the service for which it was paid and has not earned the revenue.
b. The revenue per game is:
= 630,000 / 12 games
= $52,500
Date Account Title Debit Credit
XX-XX-XXXX Unearned Revenue $52,500
Revenue - Ticket Sales $52,500
Consider the following potential events that might have occurred to Global on December 30, 2010. Global used $20.9 million of its available cash to repay $20.9 million of its long-term debt. Which of the following statements is correct?
a. Global used $20.9 million of its available cash to repay $20.9 million of its long-term debt.
b. A warehouse fire destroyed $4.8 million worth of uninsured inventory.
c. Global used $5.4 million in cash and $5.5 million in new long-term debt to purchase a $10.9 million building.
d. A large customer owing $3.5 million for products it already received declared bankruptcy, leaving no possibility that Global would ever receive payment.
e. Global's engineers discover a new manufacturing process that will cut the cost of its flagship product by more than 55%
f. A key competitor announces a radical new pricing policy that will drastically undercut Global's prices.
Answer:
a. Global used $20 million of its available cash to repay $20 million of its long-term debt.
Explanation:
Wang Co. manufactures and sells a single product that sells for $540 per unit; variable costs are $324 per unit. Annual fixed costs are $836,000. Current sales volume is $4,290,000. Management targets an annual pre-tax income of $1,215,000. Compute the unit sales to earn the target pre-tax net income.
Answer: 9,495 units
Explanation:
First find the contribution margin:
= Sales price - Variable cost
= 540 - 324
= $216 per unit
The unit sales required can be calculated by the formula:
= (Annual pre-tax income target + Fixed cost) / Contribution margin
= (1,215,000 + 836,000) / 216
= 9,495.37 units
= 9,495 units
Doogan Corporation makes a product with the following standard costs: Standard Quantity or Hours Standard Price or Rate Direct materials 2.0 grams $ 7.00 per gram Direct labor 0.6 hours $ 14.00 per hour Variable overhead 0.6 hours $ 6.00 per hour The company produced 4,600 units in January using 10,120 grams of direct material and 2,100 direct labor-hours. During the month, the company purchased 10,690 grams of the direct material at $7.20 per gram. The actual direct labor rate was $14.55 per hour and the actual variable overhead rate was $5.90 per hour. 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 materials quantity variance for January is:
Marwick Corporation issues 8%, 5-year bonds with a par value of $1,100,000 and semiannual interest payments. On the issue date, the annual market rate for these bonds is 6%.
What is the bond's issue (selling) price, assuming the following Present Value factors:
1n = i = Present value of an annuity Present value of 1
(Series of payments) (Single sum)
5 8% 3.9927 0.6806
10 4% 8.1109 0.6756
5 6% 4.2124 0.7473
10 3% 8.5302 0.7441
Answer: $1,193,838.80
Explanation:
The price of a bond is the sum of the present value of the coupon payments and the face value at maturity.
= Present value of coupon payments + Present value of face value at maturity
First adjust the variables for semi-annual:
Number of periods = 5 * 2 = 10 semi annual periods
Coupon payment = 8% * 1,100,000 * 1/2 years = $44,000
Yield = 6% / 2 = 3%
Present value of coupon payments:
The coupon payments are constant so are an annuity:
= Annuity * Present value of an annuity factor, 10 periods, 3%
= 44,000 * 8.5302
= $375,328.80
Present value of face value
= 1,100,000 * Present value of 1, 3%, 10 periods
= 1,100,000 * 0.7441
= $818,510
Selling price:
= 375,328.80 + 818,510
= $1,193,838.80
You are the financial manager of the Crossrail 1 project in London. The Board overseeing the project, acting on behalf of the UK Government, has asked you to provide a financial analysis of the project for business planning purposes. With two years to go before the commencement of train operations, you have assembled the most recent estimates of the capital investment cost and net revenues, which were forecast 1 year ago. While the user benefits and ticket revenues are assumed to remain the same each year of the 60-year useful life, it is anticipated that maintenance costs will be higher in the final 30 years of the project. They are shown in Table.
Item of cash flow Today Each year (for the first Each year (for years
(£bn) 30 years) (£bn) 31 to 60) (£bn)
Capital investment -9.4
User benefits (Includes
Time savings, Traffic
congestion relief) 0.843 0.843
Ticket revenues 0.3 0.3
Operational costs and maintenance -0.422 -0.609
For projects such as Crossrail 1, the UK Government typically estimates a 60-year useful life and uses a discount rate of 3.5%.
a) What is the net present value (NPV) of the project?
a. "£15.04".
b. "£8.83".
c. "£7.36".
d. "£16.76".
b) What is the payback period of the project?
a. "13.04".
b. "8.22".
c. "17.60".
d. "7.49".
c) What is the internal rate of return (IRR) of the project?
a. "7.57%".
b. "7.35%".
c. "5.44%".
d. "6.52%".
d) Based on your calculations is Crossrail 1 a viable project at the discount rate?
a. "Yes".
b. "No".
You have been asked by the Board to present an analysis that incorporates more recent cash flow information about the Crossrail 1 project. Before the project becomes operational, the capital investment has been given a worse scenario estimate that is 35% above the forecast in table 1. The Board would like to see the analysis if the net cash inflows will also be 35% below expectation over the 60-year life whether under the existing hurdle rate of 3.5% it would remain viable.
a) What is the net present value (NPV) of the project?
a. "-£2.16".
b. "£4.78".
c. "£3.20".
d. "-£1.80".
b) What is the internal rate of return (IRR) of the project?
a. "2.72%".
b. "3.10%".
c. "1.79%".
d/ "0.67%".
c) Based on your calculations is Crossrail 1 a viable project at the discount rate?
a. "Yes".
b. "No".
Crossrail 1 project is about to start in London.
This project will require an initial investment of 9.4 billion. The project will start earning cash flows from year and it will continue to year 60 which is useful life of the project.
The NPV for the project will be 7.36 which is positive. The correct answer is c.
The payback period for project is 13.04 years which is given in the option a so correct answer is a.
The internal rate of return for the project is b. 7.35 .
Based on our analytics and calculation since NPV is positive so cross rail project is beneficial. The board should consider launching this project.
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Prepare journal entries to record each of the following sales transactions of a merchandising company. Show supporting calculations and assume a perpetual inventory system.
Apr. 1 Sold merchandise for $2,000, granting the customer terms of 2/10, End of Month; invoice dated April 1. The cost of the merchandise is $1,400.
Apr. 4 The customer in the April 1 sale returned merchandise and received credit for $500. The merchandise, which had cost $350, is returned to inventory.
Apr. 11 Received payment for the amount due from the April 1 sale less the return on April 4.
Answer:
Apr 01
Dr Accounts receivable $2,000
Cr Sales $2,000
Apr 01
Dr Cost of goods sold $1,400
Cr Merchandise inventory $1,400
Apr 04
Dr Sales returns and allowances $500
Cr Accounts receivable $500
Apr 04
Dr Merchandise inventory $350
Cr Cost of goods sold $350
Apr 11
Dr Cash $1,500
Cr Accounts receivable $1,500
Explanation:
Preparation of the journal entries to record each of the following sales transactions of a merchandising company
Apr 01
Dr Accounts receivable $2,000
Cr Sales $2,000
Apr 01
Dr Cost of goods sold $1,400
Cr Merchandise inventory $1,400
Apr 04
Dr Sales returns and allowances $500
Cr Accounts receivable $500
Apr 04
Dr Merchandise inventory $350
Cr Cost of goods sold $350
Apr 11
Dr Cash $1,500
Cr Accounts receivable $1,500
($2,000-$500)
Bramble Corp. is planning to sell 1200 boxes of ceramic tile, with production estimated at 1170 boxes during May. Each box of tile requires 44 pounds of clay mix and a 0.50 hour of direct labor. Clay mix costs $0.40 per pound and employees of the company are paid $10 per hour. Manufacturing overhead is applied at a rate of 110% of direct labor costs. Bramble has 3200 pounds of clay mix in beginning inventory and wants to have 4100 pounds in ending inventory. What is the total amount to be budgeted for manufacturing overhead for the month
Answer: $6,435
Explanation:
Manufacturing overhead is applied at a rate of 110% of direct labor costs.
Direct labor costs:
= Budgeted number of boxes to be produced* number of direct labor hours required * employee salary per hour
= 1,170 * 0.50 * 10
= $5,850
Manufacturing overhead is 110% of this:
= 5,850 * 110/100
= $6,435
A stronger euro is less favorable for:
Group of answer choices.
A. German tourists traveling abroad.
B. American tourists traveling in France.
C. Canadian firms selling in Germany.
D. Canadian investors with money investments in Germany.
Answer:
B. American tourists traveling in France.
Explanation:
A foreign exchange market can be defined as a type of market where the currency of a country is converted to that of another country.
For example, the conversion of the United States of America dollars into naira, rands, yen, pounds, euros, etc., at the foreign exchange market.
In this context, a stronger euro is less favorable for American tourists traveling in France because the currency of the Americans, which is the U.S dollars would exchange at a far lesser rate to the euros.
However, a stronger euro would be more favorable for German tourists that are traveling abroad, Canadian firms that trade or sells its products in Germany, and Canadian investors who are having money investments in Germany.
Note: Euro is the official currency (legal tender or money) of Germany.
Considering the available options, a stronger euro is less favorable for "American tourists traveling in France."
This is because the United States of America uses the dollar as currency, while European countries, including France, are using Euro.
Thus, should an American carry dollar to France, and meets a stronger Euro, has a value of money (dollar) would be reduced, and therefore would be less favorable to him.
Option A is wrong because German tourists traveling abroad are favorable to the German as the Euro is stronger.
Option C is wrong because Canadian firms selling in Germany would earn in Euro, thereby getting money with more value.
Option D is wrong because Canadian investors with money investments in Germany would earn in Euro.
Hence, in this case, it is concluded that the correct answer is option B. "American tourists traveling in France."
Group of answer choices.
A. German tourists traveling abroad.
B. American tourists traveling in France.
C. Canadian firms selling in Germany.
D. Canadian investors with money investments in Germany.
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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