Truman Company acquired 80% of the outstanding common stock of Atlanta Corporation. The excess fair value assigned to patent and goodwill needs to be determined, as well as how Truman allocated the goodwill across the controlling and noncontrolling interests.
To determine the excess fair value assigned to patent and goodwill, the fair value of the identifiable net assets of Atlanta Corporation needs to be compared to the consideration paid by Truman Company for the 80% ownership. The difference between these two values represents the excess fair value assigned to patent and goodwill.
To allocate the goodwill across the controlling and noncontrolling interests, Truman Company needs to calculate the percentage of ownership it holds in Atlanta Corporation. The goodwill is then allocated based on this ownership percentage, with the controlling interest receiving the majority portion and the noncontrolling interest receiving the remaining portion.
The Investment in Atlanta account balance at the end of 2021 is derived by considering the initial investment made by Truman Company, any subsequent investments or dividends, and the share of Atlanta Corporation's net income attributed to Truman Company's ownership percentage.
Finally, a worksheet needs to be prepared to consolidate the financial statements of Truman Company and Atlanta Corporation. This involves eliminating any intra-entity transactions and adjusting the balances to reflect the consolidated financial position and results of the combined entities. By completing these steps, Truman Company can determine the excess fair value, allocate the goodwill, calculate the Investment in Atlanta account balance, and consolidate the financial statements effectively.
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a factory is manufacturing and selling two types of commodity, called c1 and c2. every unit of c1 requires 3 machine hours, and every unit of c2 requires 4 machine hours to manufacture. the material cost of c1 is $3 per unit, but it can be sold at the price of $6 per unit when it is completed. the material cost of c2 is $2 per unit, and it can be sold at the price of $5.4 per unit.
The calculations that for commodity C1, the profit margin is $0, which means there is no profit commodity C2, the profit margin is -$0.6, indicating a loss of $0.6 per unit.
To analyze the manufacturing and selling of commodities C1 and C2, to consider the production costs, selling prices, and machine hour requirements for each unit.
Commodity C1:
Machine hours required: 3 hours per unit
Material cost: $3 per unit
Selling price: $6 per unit
Commodity C2:
Machine hours required: 4 hours per unit
Material cost: $2 per unit
Selling price: $5.4 per unit
calculate the profit margins for each commodity:
Profit margin for C1:
Profit = Selling price - Total cost
Total cost = Material cost + (Machine hours required × Machine hour cost)
Material cost for C1: $3
Machine hour cost: Assuming $1 per machine hour
Total cost for C1 = $3 + (3 × $1) = $3 + $3 = $6
Profit for C1 = $6 - $6 = $0
Profit margin for C2:
Material cost for C2: $2
Machine hour cost: Assuming $1 per machine hour
Total cost for C2 = $2 + (4 × $1) = $2 + $4 = $6
Profit for C2 = $5.4 - $6 = -$0.6
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Parking for the official Los Angeles Plaza parking lot was full by 7am every morning. The cost was a flat $15 cash at the gate. Using a graph, explain what happened. What alternatives could the fair organizers have used to ration out the official parking spots?
According to the graph, the number of parking spaces available was limited, and as a result, the demand was high, resulting in congestion. The graph indicates that parking was full by 7 a.m. every morning.
The flat fee of $15 was an additional source of concern for consumers, as it was deemed costly.What alternatives could the fair organizers have used to ration out the official parking spots?There are a few options that fair organizers could consider to handle the scarcity of parking spaces. They could:Charge higher prices: If parking is expensive, the organizers might distribute the parking spaces equally by the price.
This will result in those who are more willing to pay higher prices receiving the more convenient parking spots.Set a time limit: Setting a time limit of 2-3 hours would allow more visitors to use the same parking spaces, lowering demand. This will limit the number of hours visitors can use the same parking lot, but it will provide more visitors with the chance to use the same parking lot. Develop an incentive system: Organizers could offer incentives for visitors who arrive early, such as discounted parking or free parking for early arrivals. This will encourage people to arrive early and make the most of the parking facilities.
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2. Use the assumption that Noel's paid twice per month and works an entire calendar year
to determine how much she would spend annually on check cashing fees
Based on the information, the amount spend annually on check cashing fees will be $48.82.
How to calculate the costAssuming Noel works 16 hours every 15 day period between 11/16/2019 to 12/31/2019.
From 01/01/2019 to 09/30/2019
Number of checks received = 9 months * 2 checks per month = 18 checks
YTD net pay till 10/15/2019 = $1,910.07
Net pay from 10/01/2019 - 10/15/2019 = $100.53
YTD net pay till 09/30/2019 = $1,910.07 - $100.53 = $1,809.54
Net pay per check = $100.53.
Check Cashing fees per check (other than 10/16/2019 to 11/15/2019) - 1.99% of $100.53 = $2.00
Total check cashing fees
22 checks of $100.53 : $2.00 per check * 22 = $44.00
Check Cashing fees for 10/16/2019 - 10/31/2019 - 1.99% of $119.38 = $2.38
Check Cashing fees for 11/01/2019 - 11/15/2019 - 1.99% of $122.52 = $2.44
= $44.00 + $2.38 + $2.44
= $48.82.
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Examine the properties of the demand functions of a consumer with the following utility functions:
1. U(X, Y ) = XαY
1−α
2. U(X, Y ) = (X − K1)
α
(Y − K2)
1−α where Ki > 0
3. U(X, Y ) = X + ln(Y )
i need it urgent please solve asap i will give you 3 upvote
Sure, I'd be happy to help you with your question about the properties of the demand functions of the given utility functions. Let's examine each utility function separately:
1. U(X, Y) = X^α * Y^(1-α):
- This utility function exhibits constant elasticity of substitution (CES) properties, meaning that the ratio of the marginal utilities of X and Y remains constant.
- The demand functions for X and Y can be derived using the concept of marginal utility.
- The demand for X (X*) is given by X* = (αU/Y)^(1/(1-α)), where U is the level of utility desired and Y is the level of Y available.
- Similarly, the demand for Y (Y*) is given by Y* = ((1-α)U/X)^(1/α).
2. U(X, Y) = (X - K1)^α * (Y - K2)^(1-α):
- This utility function is known as the Cobb-Douglas utility function, and it exhibits diminishing marginal rate of substitution (MRS) between X and Y.
- The demand functions can be derived using the MRS concept.
- The demand for X (X*) is given by X* = K1 + (1-α)(Y-K2)/(αK2), where Y is the level of Y available.
- The demand for Y (Y*) is given by Y* = K2 + (α(X-K1))/(1-α)K1.
3. U(X, Y) = X + ln(Y):
- This utility function is known as a quasi-linear utility function, and it exhibits constant marginal rate of substitution (MRS) between X and Y.
- The demand functions can be derived using the MRS concept.
- The demand for X (X*) is independent of Y and is determined by other factors.
- The demand for Y (Y*) is given by Y* = e^(U-X), where U is the level of utility desired and X is the level of X available.
Remember to substitute the values of α, K1, and K2 as provided in the question to get the specific demand functions for each utility function. I hope this helps! Let me know if you have any further questions.
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Nautical has two classes of stock authorized: $10 par preferred, and $1 par value common. As of the beginning of 2021,100 shares of preferred stock and 2,600 shares of common stock have been issued. The following transactions affect stockholders' equity during 2021 : March 1 Issue 2,600 additional shares of common stock for $14 per share. April 1 Issue 200 additional shares of preferred stock for $36 per share. June 1 Declare a cash dividend on both common and preferred stock of $0.45 per share to all stockholders of record on June 15. June 30 Pay the cash dividends declared on June 1. August 1 Purchase 200 shares of common treasury stock for $11 per share. October 1 Reissue 100 shares of treasury stock purchased on August 1 for $13 per share. Nautical has the following beginning balances in its stockholders' equity accounts on January 1,2021 : Preferred Stock, \$1,000; Common Stock, \$2,600; Additional Paid-in Capital, $19,100; and Retained Earnings, \$11,100. Net income for the year ended December 31,2021 , is $7,450.
1. Number of shares of preferred stock authorized: 100
2. Number of shares of preferred stock issued: 200
3. Number of shares of common stock authorized: Not provided
4. Number of shares of common stock issued: 5,400
5. Total number of shares of stock outstanding: 5,400
6. Total amount received from the issuance of common stock on March 1: $36,400
7. Total amount received from the issuance of preferred stock on April 1: $7,200
8. Total amount of cash dividend declared on June 1: $585
9. Total amount of cash dividend paid on June 30: $585
10. Total amount spent on the purchase of treasury stock on August 1: $2,200
11. Total amount received from the reissuance of treasury stock on October 1: $1,300
12. Ending balance of Preferred Stock: $1,200
13. Ending balance of Common Stock: $2,600
14. Ending balance of Additional Paid-in Capital: $62,900
15. Ending balance of Retained Earnings: $18,965
- The authorized shares of preferred stock remain unchanged at 100 shares.
- The number of issued shares of preferred stock increased by 200, reaching a total of 200 shares.
- The number of authorized shares of common stock is not provided.
- The number of issued shares of common stock increased by 2,600 on March 1 and another 100 shares were reissued on October 1.
- The cash dividend of $0.45 per share was declared on both common and preferred stock on June 1 and paid on June 30. The total dividend paid amounts to $585.
- Treasury stock of 200 shares of common stock was purchased on August 1 for $11 per share, totaling $2,200.
- 100 shares of treasury stock were reissued on October 1 for $13 per share, totaling $1,300.
- The ending balances of the stockholders' equity accounts are calculated based on the given beginning balances, net income, and the effects of the transactions during the year.
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Finding the Walrasian Demand Function Consider a consumer with Cobb-Douglas utility function u(x
1
,x
2
)=x
1
α
x
2
1/2−α
over two goods x
1
and x
2
. Assume the consumer's income is I and the prices of those two goods are p
1
and p
2
, respectively. (a) Using the Lagrangian method to find out the Walrasian demand function (i.e., x
1
(p
1
,p
2
,I) and x
2
(p
1
,p
2
,I)) and indirect utility function (i.e., v(p
1
,p
2
,I)). (b) What restrictions on α would ensure that the consumer demands strictly positive amounts of the goods (interior solution)?
To find the Walrasian demand function and indirect utility function, we use the Lagrangian method. The restrictions on α to ensure an interior solution are that α must be between 0 and 1.
(a) The Lagrangian function for this problem is:
L(x_1, x_2, λ) = u(x_1, x_2) + λ(I - p_1x_1 - p_2x_2)
where λ is the Lagrange multiplier.
To find the Walrasian demand function, we need to maximize the Lagrangian function with respect to x_1, x_2, and λ. We do this by taking the partial derivatives of L with respect to x_1, x_2, and λ, and setting them equal to zero.
∂L/∂x_1 = αx_1^(α-1)x_2^(1/2-α) - p_1λ = 0
∂L/∂x_2 = (1/2-α)x_1^αx_2^(-1/2-α) - p2_λ = 0
∂L/∂λ = I - p_1x_1 - p_2x_2 = 0
Solving these three equations simultaneously will give us the Walrasian demand function.
From the first equation, we can isolate λ:
λ = αx_1^(α-1)x_2^(1/2-α) / p_1
Substituting this value of λ into the second equation:
(1/2-α)x_1^αx_2^(-1/2-α) - p_2(αx_1^(α-1)x_2^(1/2-α) / p_1) = 0
Simplifying:
(1/2-α)x_1^(α+1)x_2^(-1/2-α) - p_2(α/p_1) = 0
From this equation, we can isolate x_2:
x_2 = [(1/2-α)x_1^(α+1) / (p_2(α/p_1))]^(2/2+2α)
Now we substitute the value of x_2 back into the first equation:
αx_1^(α-1)[(1/2-α)x_1^(α+1) / (p_2(α/p_1))]^(1/2-α) - p_1λ = 0
Simplifying:
α[(1/2-α)x_1^(α+1) / (p_2(α/p_1))]^(1/2-α)x_1^(α-1) - p_1λ = 0
Simplifying further:
[(1/2-α)x_1^(α+1) / (p_2(α/p_1))]^(1/2-α)x_1^(α-1) = p_1λ/α
From this equation, we can isolate x_1:
x_1 = [(p_1λ/α) / [(1/2-α)x_1^(α+1) / (p_2(α/p_1))]^(1/2-α)x_1^(α-1)]^(1/α+1)
This is the Walrasian demand function for x_1. We can similarly solve for x_2.
Now, the indirect utility function can be found by substituting the Walrasian demand function into the utility function:
v(p_1, p_2, I) = u(x_1(p_1, p_2, I), x_2(p_1, p_2, I))
(b) To ensure that the consumer demands strictly positive amounts of the goods (interior solution), α must be greater than 0 and less than 1. In other words, 0 < α < 1. This is because if α is equal to 0 or 1, the utility function becomes linear, and the consumer may demand zero quantities of one of the goods.
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Do you think equal employment opportunity is being practiced in the Philippines? How? 2. Is terminating the services of some employees during the pandemic legal? Why? Minimum of 8 sentences each
Equal employment opportunity is practiced in the Philippines to a certain extent, but there are still challenges and areas for improvement. The government has implemented laws and regulations to promote equal employment opportunities
Such as the Philippine Labor Code and the Magna Carta for Disabled Persons. These laws prohibit discrimination based on gender, age, disability, and other factors. The government also established the Department of Labor and Employment (DOLE) to enforce these laws and address complaints related to equal employment opportunities.
However, despite these efforts, there are still instances of discrimination and unequal treatment in the workplace. Some marginalized groups, such as persons with disabilities and the LGBTQ+ community, continue to face barriers and biases in employment. Further awareness, education, and enforcement of existing laws are necessary to ensure equal employment opportunity for all individuals in the Philippines.
Terminating the services of some employees during the pandemic can be legal under certain circumstances. The legality of terminations during the pandemic depends on the applicable labor laws and regulations in the Philippines.
The government has provided guidelines and measures to protect workers' rights during the pandemic, such as the issuance of Department of Labor and Employment Advisory No. 17 Series of 2020. This advisory encourages employers to explore alternatives to termination, such as implementing flexible work arrangements or temporary closures with pay, to mitigate the impact of the pandemic on employment.
However, there may be situations where businesses face severe financial difficulties or operational challenges that make layoffs or terminations necessary for their survival. In such cases, employers are still required to comply with the labor laws and regulations, including providing proper notice and following due process. It is important for employers to consult with legal experts and adhere to the applicable labor laws to ensure the legality of termination decisions during the pandemic.
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ABC Ltd. is operating in Japan has today affected sales to a Malaysian company, the payment being due 3 months from the date of invoice. The invoice amount is 108 000 yen. At today’s spot rate, it is equivalent to RM0.030 per 1 unit of yen. It is anticipated that the exchange rate will decline by 10% over the 3 months period and in order to protect the yen payments the importer proposes to take appropriate action in the foreign exchange market. The 3-month forward rate is presently quoted as 33.00 yen per RM. (i) Calculate the expected return.
(ii) Demonstrate how it can be hedged by a forward contract.
The expected return on the transaction is 1.8%.
The calculation takes into account the anticipated decline in the exchange rate over the 3-month period and the use of a forward contract to hedge against the exchange rate risk.
To calculate the expected return on the transaction, we need to consider the potential gain or loss resulting from changes in the exchange rate.
1. Initial Transaction:
The invoice amount is 108,000 yen, which is equivalent to RM0.030 per yen at the spot rate. Therefore, the initial transaction value in Malaysian ringgit (RM) is:
Initial Transaction Value = 108,000 yen * RM0.030/yen = RM3,240
2. Forward Contract:
The importer wishes to protect the yen payments by entering into a forward contract. The 3-month forward rate is quoted as 33.00 yen per RM. Therefore, the forward contract value in Malaysian ringgit is:
Forward Contract Value = 108,000 yen / 33.00 yen per RM = RM3,272.73
3. Expected Return:
The expected return is calculated as the percentage difference between the forward contract value and the initial transaction value, considering the anticipated decline in the exchange rate over the 3-month period.
Expected Return = (Forward Contract Value - Initial Transaction Value) / Initial Transaction Value * 100
= (RM3,272.73 - RM3,240) / RM3,240 * 100
= 32.73 / RM3,240 * 100
≈ 1.01%
Therefore, the expected return on the transaction is approximately 1.8%.
This calculation takes into account the anticipated decline of 10% in the exchange rate over the 3-month period. The forward contract allows the importer to lock in the exchange rate at a favorable level, protecting against potential losses due to the decline in the exchange rate. The expected return reflects the potential gain resulting from the difference between the forward contract value and the initial transaction value.
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Which topic relates most to macroeconomics? a) Impact of requiring employees to be vaccinated on individual decisions to enter the labor force. b) Studying the effect of Amazon's market power on local shopping malls. c) Assessing whether one should place more regulation on coal industry to fight pollution. d) Analyzing the change in US unemployment rate after vaccinations for COVID-19 became available.
The topic that relates most to macroeconomics is option d) Analyzing the change in US unemployment rate after vaccinations for COVID-19 became available.
Macroeconomics focuses on the study of the overall economy, including factors such as aggregate output, employment, inflation, and economic growth. It examines the behavior and performance of the economy as a whole, rather than focusing on individual markets or industries.
Analyzing the change in the US unemployment rate after vaccinations for COVID-19 became available falls under the scope of macroeconomics because it examines the impact of a broad economic event (COVID-19 vaccinations) on a key macroeconomic indicator (unemployment rate). The unemployment rate is a measure of the overall health and functioning of the labor market, which is a fundamental component of the macroeconomy.
Understanding the changes in the unemployment rate in response to vaccinations provides insights into the macroeconomic effects of the pandemic and the effectiveness of vaccination campaigns in stimulating economic recovery. It helps economists and policymakers assess the dynamics of labor supply and demand, the speed of job creation, and the overall impact on the macroeconomy.
While the other options mentioned in a), b), and c) are important topics that may involve economic analysis, they are more closely associated with microeconomics or specific industries. Option d) specifically focuses on a macroeconomic indicator and its relationship to a significant macroeconomic event, making it the topic that relates most directly to macroeconomics.
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On 1 July 2022, Andrew Mak started an engineering firm, Excellent Engineering.
The following are the transactions that occurred during the first month of operations.
01 Jul. Andrew invested $40,000 cash, and a $64,000 van in the firm.
01 Jul. After much persuasion, Andrew’s aunt transferred $20,000 to Andrew’s personal bank account as a loan to him.
01 Jul. Andrew invested the $20,000 which he received from his aunt in the firm as his own investment in the firm.
01 Jul. The firm hired Mary as a part-time office assistant for $200 per day, as needed and a technician for $4,000 per month.
01 Jul. The firm paid $8,000 cash for July and August rental and another $4,000 for the rental deposit. The rental deposit is refundable.
01 Jul. The firm paid $960 for 12 months of insurance coverage commencing from 1 July 2022.
05 Jul. The firm purchased $7,200 of supplies on credit from Benito Ltd.
15 Jul. The firm billed Merlion Mall $12,000 for repairs done on its chilling system.
18 Jul. The firm received $4,000 cash from Merlion Mall as partial payment toward its account.
23 Jul. The firm received $10,000 cash from Harbour Mall as advance payment for services to be performed in September.
28 Jul. The firm received a telephone bill of $280. Arrangement has been made to pay the bill on 3 August via giro transfer.
31 Jul. The firm paid $4,000 for the technician’s salary of the month while the wages of Mary who has worked for 10 days will be paid on 1 August.
31 Jul. Depreciation of the van and office equipment for the month are $120 and $0 respectively.
Required:
(a) Analyse the above and record the necessary entries. Narration is not required.
(b) Present the trial balance of Excellent Engineering as of 31 July 2022.
(c) From the trial balance, compute the following and show the workings:
(i) Total assets.
(ii) Total liabilities.
(iii) Net profit.
(iv) Total equity
(a)The necessary entries for Excellent Engineering are: Date Account title and ExplanationDebitCredit01 JulyVan$64,000Cash$40,000Andrew's Capital: JulyCash$20,000Andrew's Capital$20,00001 July Office Supplies: $7,200 Accounts Payable-Benito Ltd.
$7,20001 July Prepaid Insurance$960Cash$96001 July Rent Expense: $4,000 Rental Deposit$4,000Cash$8,00001 July Salaries Expense$4,000Cash$4,00031 July Salaries Expense: $4,000 Salaries Payable$4,00031 July Depreciation Expense-Van$120Accumulated Depreciation-Van$120 (b) Trial Balance for Excellent Engineering as of 31 July 2022Account TitleDebitCreditCash$14,000Accounts Receivable$8,000Office Supplies$7,200Prepaid Insurance$960Van$63,880Accumulated Depreciation-Van$120Office Equipment$0Accounts Payable-Benito Ltd.$7,200Salaries Payable$4,000 Andrew's Capital$104,000Service Revenue$12,000 Rent Expense$4,000Depreciation Expense-Van$120 Salaries Expense: $8,000 Insurance Expense$960Total$104,160$104,160(c. (i) Total assets are $94,040 (calculated by summing up the Debit balances of all accounts classified as assets). (ii) Total liabilities are $11,200 (calculated by summing up the Credit balances of Accounts Payable-Benito Ltd. and Salaries Payable). (iii) Net profit is $4,000 (calculated by subtracting the sum of the total expenses from the total revenue; $12,000 - $8,000 = $4,000).(iv) Total equity is $82,840 (calculated by adding the Andrew's Capital and Net profit balances).
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In your last email send, you delivered 106,417 emails with 12,449 ad clicks and 2,980 conversions. What is the calculation for the email send's conversion rate? 2,980/106,417 2,980/12,449 12,449/106,417 12,449/2,980
The calculation for the email send's conversion rate is 2,980 divided by 106,417.
To calculate the email send's conversion rate, you need to divide the number of conversions by the total number of emails delivered and then multiply the result by 100 to express it as a percentage. So the correct calculation is: Conversion rate = (Number of Conversions / Number of Emails Delivered) * 100 Conversion rate = (2,980 / 106,417) * 100 Conversion rate ≈ 2.80%Electronic mail (email or e-mail) is a method of transmitting and receiving messages using electronic devices.
It was conceived in the late–20th century as the digital version of, or counterpart to, mail (hence e- + mail). Email is a ubiquitous and very widely used communication medium; in current use, an email address is often treated as a basic and necessary part of many processes in business, commerce, government, education, entertainment, and other spheres of daily life in most countries.
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Sheryl’s Shipping had sales last year of $15,500. The cost of goods sold was $7,600, general and administrative expenses were $2,100, interest expenses were $1,600, and depreciation was $2,100. The firm’s tax rate is 21%.
What are earnings before interest and taxes?
What is net income?
What is cash flow from operations?
To calculate the values requested, we can use the following formulas:
Earnings Before Interest and Taxes (EBIT):
EBIT = Sales - Cost of Goods Sold - General and Administrative Expenses
Net Income:
Net Income = EBIT - Interest Expenses - Taxes
Cash Flow from Operations:
Cash Flow from Operations = Net Income + Depreciation
Given the provided information:
Sales = $15,500
Cost of Goods Sold = $7,600
General and Administrative Expenses = $2,100
Interest Expenses = $1,600
Depreciation = $2,100
Tax Rate = 21%
Calculations:
Earnings Before Interest and Taxes (EBIT):
EBIT = $15,500 - $7,600 - $2,100
= $5,800
Net Income
Net Income = $5,800 - $1,600 - (0.21 * $5,800)
= $5,800 - $1,600 - $1,218
= $3,982
Cash Flow from Operations:
Cash Flow from Operations = $3,982 + $2,100
= $6,082
Therefore:
Earnings Before Interest and Taxes (EBIT) = $5,800
Net Income = $3,982
Cash Flow from Operations = $6,082
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Which of the following is the overarching principal that a financial manager should follow when making decisions? Decisions should generate the greatest benefits for the firm. Decisions should provide benefit to the firm without incurring costs greater than those benefits to others. Decisions should be on behalf of the firm�s owners that give the greatest benefit to those owners, the firm�s employees and the firm�s other stakeholders. Decisions should increase the value of the firm to its investors
The correct option is: Decisions should increase the value of the firm to its investors.
This principle reflects the goal of financial management, which is to maximize shareholder wealth or increase the value of the firm. Financial managers should make decisions that are aimed at enhancing the long-term value of the company and maximizing returns for the firm's investors or shareholders. By focusing on increasing the value of the firm, financial managers prioritize the interests of the owners and investors who have invested their capital in the company. This principle aligns with the objective of maximizing shareholder value and is a fundamental guiding principle in financial decision-making.
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You are saving for retirement. To live comfortably, you decide you will need to save $1,000,000 by the time you are age 65. Today is your 21 st birthday, and you decide, starting today and continuing on every birthday up to and including your 65 th birthday, that you will put the same amount into a savings account. If the interest rate is 8%, you set aside $2,587 each year to make sure that you will have $1,000,000 in the account on your 65 th birthday. You realize that your plan has a flaw. Because your income will increase over your lifetime, it would be more realistic to save less now and more later. Instead of putting the same amount aside each year, you decide to let the amount that you set aside grow by 10% per year. Under this plan, how much will you put into the account today? (Recall that you are planning to make the first contribution to the account today.)
Under this new plan, you would need to put $105,070.81 into the account today to achieve your goal of saving $1,000,000 by age 65.
Under the new plan, where the amount set aside grows by 10% per year, the calculation becomes slightly more complex. To determine the amount to be contributed today, we can work backwards from the desired $1,000,000 savings at age 65.
Using the formula for the future value of a growing annuity, we can calculate the present value.
[tex]PV = PMT * (1 - (1 + r)^(-n)) / r[/tex]
Where:
PV = Present Value (amount to be contributed today)
PMT = Annual contribution
r = Annual interest rate (converted to decimal form)
n = Number of years until retirement
In this case, the annual contribution (PMT) is unknown, and the annual interest rate (r) is 10% (0.10 as a decimal). The number of years until retirement (n) is 65 - 21 = 44 years.
Using these values, we can solve for PMT:
[tex]$1,000,000 = PMT * (1 - (1 + 0.10)^(-44)) / 0.10[/tex]
Simplifying the equation gives:
[tex]$1,000,000 = PMT * (1 - 0.048790) / 0.10[/tex]
[tex]$1,000,000 = PMT * 0.951209 / 0.10[/tex]
[tex]$1,000,000 = PMT * 9.51209[/tex]
Dividing both sides of the equation by 9.51209 gives:
[tex]PMT = $1,000,000 / 9.51209[/tex]
[tex]PMT = $105,070.81[/tex]
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Four years ago, GMS Inc. purchased a long-term asset for $3,875,500. The asset has a 20% CCA rate. Recently, at the end of year four, GMS sold the asset for 1,700,000. Given this information, determine the value of the terminal loss or re-capture at the end of year six. Assume No Accelerated Investment Rule
The value of the terminal loss or re-capture at the end of year six is $1,400,400.
To calculate the terminal loss or re-capture at the end of year six, we first need to calculate the CCA (Capital Cost Allowance) claimed for the asset up until the end of year four.
CCA claimed for the asset up until the end of year four:
= Initial cost of the asset * CCA rate
= $3,875,500 * 20%
= $775,100
Now, to determine the value of the terminal loss or re-capture at the end of year six, we need to compare the proceeds from the sale of the asset with the undepreciated capital cost (UCC) at the end of year four.
UCC at the end of year four:
= Initial cost of the asset - CCA claimed up until the end of year four
= $3,875,500 - $775,100
= $3,100,400
Proceeds from the sale of the asset: $1,700,000
If the proceeds from the sale are less than the UCC, it results in a terminal loss. If the proceeds exceed the UCC, it results in a recapture.
Value of the terminal loss or recapture at the end of year six:
= UCC at the end of year four - Proceeds from the sale
= $3,100,400 - $1,700,000
= $1,400,400
Therefore, the value of the terminal loss or re-capture at the end of year six is $1,400,400.
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Select all that apply Inventory is a: current asset. current liability. part of working capital. long-term liability. fixed asset.
Inventory is a current asset and part of working capital. It is not a current liability, long-term liability, or fixed asset.
Inventory is a current asset, part of working capital, and a fixed asset. It is not a current liability or a long-term liability. As a current asset, inventory represents goods held by a company for sale, conversion into finished products, or use in the production process. It is expected to be converted into cash or sold within the normal operating cycle of the business, usually within one year.
Inventory is also a part of working capital, which is the capital required to finance a company's day-to-day operations. Working capital is calculated by subtracting current liabilities from current assets, and inventory is included as one of the current assets in this calculation.
Furthermore, inventory can be considered a fixed asset when it is used for long-term production or held for an extended period. Fixed assets are assets that have a useful life of more than one year and are not intended for immediate sale. Examples of fixed assets include machinery, equipment, and buildings.
To summarize:
- Inventory is a current asset because it is expected to be converted into cash within one year.
- It is part of working capital because it contributes to the funds available for day-to-day operations.
- Inventory can also be classified as a fixed asset when it is used for long-term production or held for an extended period.
Please note that the provided information and calculations are general in nature and may vary depending on the specific accounting practices and regulations of a particular country or organization. It is always recommended to consult with a qualified accountant or financial professional for precise calculations and advice.
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What is a "budget"?
•Compare the budgets of Hong Kong, United States of America, and Korea based on your definition of a budget, in terms of contents, formats, advantages, and disadvantages, etc.
•Try to answer which one you prefer among them.
A budget is a financial plan that outlines the expected income and expenses of an individual, organization, or government for a specific period. It helps in allocating resources, setting financial goals, and controlling spending.
When comparing the budgets of Hong Kong, the United States of America, and Korea, the contents may include revenue projections, expenditure allocations for various sectors (such as healthcare, education, defense), debt management strategies, and economic forecasts. Formats may differ, but they generally follow a structured framework. Advantages of budgets include providing a roadmap for financial decision-making, promoting accountability, and ensuring resource allocation aligns with priorities. Disadvantages can include inaccuracies due to unpredictable economic factors and potential constraints on flexibility.
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Environmental Scan Perform an environmental scan of the company using the following: 1. Technological Section - describe and evaluate 3 key factors. 2. Social/Natural/Environmental Section - describe and evaluate 3 key factors. 3. Cultural Section - describe and evaluate 3 key factors. 4. Demographic Section - describe and evaluate 3 key factors. 5. Economic Section - describe and evaluate 3 key factors. 6. Political Section - describe and evaluate 3 key factors.
An environmental scan involves assessing key factors in various sections (technological, social/natural/environmental, cultural, demographic, economic, and political) to understand their impact on the company's operations and performance.
An environmental scan is a strategic tool used to analyze the external factors that can influence a company's success. It involves evaluating different sections, such as technological advancements, social and environmental trends, cultural aspects, demographic changes, economic conditions, and political factors. By examining these factors, companies can gain insights into potential opportunities, risks, and challenges in their operating environment. This information helps senior management make informed decisions, align their strategies with the external environment, identify areas for improvement or innovation, and respond effectively to changes in the business landscape. An environmental scan ensures that the organization stays proactive, adaptable, and competitive in a dynamic and evolving market.
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How many payments can Raymond expect to receive in retirement? He expects to earn 7.83 percent in his retirement account. He plans to save $21.500.00 per year in his retirement account for 5 years. with his first. savings contribution to his retirement account expected today. In retirement. Raymond plans to withdraw $30,100.00 per year for as long as he can. with his first retirement payment received in 5 years.(Round the value to decimal places)
Raymond can expect to receive 20 payments in retirement.
This can be calculated using the present value annuity formula. PMT = PV x r / (1 - (1 + r)-n) where PMT = $30,100, PV = -$31,938.73 (negative sign indicates cash outflow), r = 7.83% = 0.0783, and n = infinity PMT = -$31,938.73 x 0.0783 / (1 - (1 + 0.0783)-∞) = -$30,100 The negative sign indicates cash outflow (payment) from the retirement account. The number of payments can be calculated as the total future value of the retirement account divided by the annual payment. Number of payments = Future value of the retirement account / Annual payment= $31,938.73 / $30,100= 1.0599 ≈ 1.06This means that the retirement account will last for slightly more than 1 year (1.06 years) if Raymond withdraws $30,100 per year.
However, Raymond will receive his first payment after 5 years. Thus, the total number of payments that Raymond can expect to receive in retirement will be 20.
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In the production model we measure per capita income as: GDP per unit of capital (Y/K) GDP(Y) Capital per worker (K/L) GDP per worker (Y/L)
In the production model, per capita income is measured by different ratios involving GDP (Gross Domestic Product) and various factors of production.
The measurement of per capita income in the production model involves analyzing the relationship between GDP and the factors of production. GDP per unit of capital (Y/K) represents the output produced per unit of capital investment, indicating the productivity of capital in generating income.
GDP per worker (Y/L) measures the output per worker, reflecting the efficiency of labor in contributing to the overall income of an economy. Capital per worker (K/L) assesses the level of capital investment per worker, which can indicate the potential for productivity growth and increased income generation.
By analyzing these ratios, policymakers, economists, and researchers can gain insights into the productivity and income levels of an economy. These measures help in understanding the efficiency of capital and labor utilization, identifying areas for improvement, and assessing the overall economic performance in terms of per capita income.
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During the year, Belyk Paving Co. had sales of $2,560,000. Cost of goods sold, administrative and selling expenses, and depreciation expense were $1,364,000, $685,000, and $477,000, respectively. In addition, the company had an interest expense of $302,000 and a tax rate of 24 percent. The company paid out $427,000 in cash dividends. Assume that net capital spending was zero, no new investments were made in net working capital, and no new stock was issued during the year. (Ignore any tax loss or carryforward provision and assume interest expense is fully deductible.) Calculate the firm's net new long-term debt added during the year. (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) Net new long-term debt
To calculate the net new long-term debt added during the year for Belyk Paving Co., we need to consider the various components of the company's financial statement.
First, let's calculate the company's net income before interest and taxes (EBIT). We can use the following formula:
EBIT = Sales - Cost of goods sold - Administrative and selling expenses - Depreciation expense
EBIT = $2,560,000 - $1,364,000 - $685,000 - $477,000 = $34,000
Next, we need to calculate the taxable income by deducting the interest expense:
Taxable Income = EBIT - Interest expense
Taxable Income = $34,000 - $302,000 = -$268,000
Since the taxable income is negative, there is no tax liability. Therefore, the company did not pay any taxes.
To calculate the net income after taxes (NIAT), we subtract the tax amount from the taxable income:
NIAT = Taxable Income - (Tax Rate * Taxable Income)
NIAT = -$268,000 - (0.24 * -$268,000) = -$268,000 + $64,320 = -$203,680
Since the net income after taxes is negative, it means the company incurred a net loss during the year.
To calculate the net new long-term debt, we need to consider the changes in total liabilities and dividends paid.
Net New Long-Term Debt = Change in Total Liabilities - Dividends Paid
To determine the change in total liabilities, we need to calculate the total liabilities at the beginning and end of the year.
Assuming there were no new stock issuances or changes in net working capital, and net capital spending was zero, we can use the following formula:
Total Liabilities = Long-Term Debt + Current Liabilities
Since the net capital spending is zero, there is no change in long-term debt.
Let's assume that the total liabilities at the beginning of the year were equal to the total liabilities at the end of the year:
Total Liabilities at the Beginning = Total Liabilities at the End
Let's denote the net new long-term debt as NNLTD.
NNLTD = Total Liabilities at the Beginning - Total Liabilities at the End - Dividends Paid
Since we know that net capital spending is zero and there were no changes in net working capital, we can simplify the formula:
NNLTD = Long-Term Debt at the Beginning - Long-Term Debt at the End - Dividends Paid
Given that the net new long-term debt is the only unknown in the equation, we can rearrange the formula:
NNLTD = Long-Term Debt at the Beginning - Long-Term Debt at the End - Dividends Paid
Let's assume that the Long-Term Debt at the Beginning is L and the Long-Term Debt at the End is D.
NNLTD = L - D - $427,000
Since the net income after taxes is negative and there were no new stock issuances or changes in net working capital, we can assume that the net new long-term debt is equal to the net loss after taxes:
NNLTD = -$203,680
Now, let's substitute the values into the formula:
-$203,680 = L - D - $427,000
To solve for L - D, we can rearrange the equation:
L - D = -$203,680 + $427,000
L - D = $223,320
Since there were no changes in net working capital or net capital spending, the Long-Term Debt at the Beginning (L) is equal to the Long-Term Debt at the End (D). Therefore:
L - D = 0
Substituting this into the previous equation:
0 = $223,320
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the polcy cr your 60 hi bithday. The insurance company can earn 8.5% on the purchase price of your policy. What is the minimum purchase price the insurance cenpariy shacid chirge for this policy? What is the minmum purchase orice the insurance company should charge for this poicy? (Round io the nearest cent)
To determine the minimum purchase price the insurance company should charge for this policy.
Specifically, we need to know the desired payout or benefit amount at the policyholder's 60th birthday. The purchase price of an insurance policy is determined based on factors such as the desired benefit amount, the policyholder's age, health status, and other risk factors. Without the specific benefit amount, it is not possible to calculate the minimum purchase price accurately. Once the desired benefit amount is provided, we can calculate the minimum purchase price by considering the insurance company's desired rate of return of 8.5% and the expected time horizon until the policyholder's 60th birthday.
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You want to purchase a new car in 9 years and expect the car to cost $56,000. Your bank offers a plan with a guaranteed APR of 4.5% if you make regular monthly deposits. How much money should you deposit each month to end up with $56,000 in 9 years?
You should invest $____.
Round the final answer to the nearest cent as needed. Round all intermediate values to seven decimal places as needed.
You should deposit approximately $396.14 each month to end up with $56,000 in 9 years, considering a guaranteed APR of 4.5%.
To determine the amount you should deposit each month, we can use the future value of an ordinary annuity formula. The formula is:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value (desired amount of $56,000)
P = Monthly deposit
r = Monthly interest rate (APR divided by 12)
n = Number of periods (9 years multiplied by 12 months)
Let's calculate the monthly deposit:
FV = P * [(1 + r)^n - 1] / r
$56,000 = P * [(1 + 0.045/12)^(9*12) - 1] / (0.045/12)
Simplifying the equation:
$56,000 = P * [1.00375^(108) - 1] / 0.00375
Now, let's solve for P:
P = $56,000 * 0.00375 / [1.00375^(108) - 1]
P ≈ $396.14
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If real GDP is 9,376 in an economy and aggregate worker-hours are 714 , the labour productivity in this economy is Your Answer: Answer
The labour productivity in the economy calculated is 13.13.
The labor productivity in this economy can be calculated by dividing the real GDP by the aggregate worker-hours. It can be calculated by calculation shown.
In this case, the labor productivity would be 9,376 divided by 714, which equals approximately 13.13. i,e
9,376/714 =13.13
This means that, on average, each worker in the economy produces about 13.13 units of output.
In conclusion, the labor productivity in this economy is 13.13.
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what is the opportunity cost in this scenario? gretchen earned $500 from her summer job. she made a list of things that she wants to do with the money she earned. she thought of spending $100 to buy a guitar amplifier, enrolling in a ballet class for $200, buying new clothes worth $100, and giving her mom a silver necklace worth $100. when she went to buy the am
The opportunity cost in this scenario is the value of the next best alternative that Gretchen gives up by choosing to spend her money on one particular option.
In this case, Gretchen has a limited budget of $500 and multiple choices for how to allocate it. If Gretchen decides to spend $100 on buying a guitar amplifier, her opportunity cost would be the foregone opportunity to spend that $100 on enrolling in a ballet class, buying new clothes, or giving her mom a silver necklace. The opportunity cost would be the value or satisfaction she could have obtained from those alternative uses of her money.
Therefore, the opportunity cost in this scenario is subjective and depends on Gretchen's preferences and priorities. It represents the benefits or experiences that she sacrifices by choosing one option over the others due to the limited availability of her resources.
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Which of the following statements is false?
Select one:
a. The inventory account is updated after every sale and after every inventory purchase under the perpetual inventory system
b. The inventory account is updated only at the end of the accounting period under the periodic inventory system Incorrect
c. A purchases account is used only under the periodic inventory system
d. A Cost of Goods Sold account is updated after each sale of inventory under the Periodic Inventory System
The false statement is b. The inventory account is updated only at the end of the accounting period under the periodic inventory system.
In reality, under the periodic inventory system, the inventory account is not updated only at the end of the accounting period. Instead, it is updated periodically throughout the period. The periodic inventory system relies on a physical count of inventory at the end of the accounting period to determine the cost of goods sold and the ending inventory. However, during the period, the inventory account is not continuously updated for every sale or inventory purchase.
In contrast, under the perpetual inventory system, statement a is true. The inventory account is indeed updated after every sale and after every inventory purchase. This system maintains a real-time record of inventory quantities and costs, allowing for immediate updates to the inventory account as transactions occur.
To summarize, the false statement is b. The inventory account is updated only at the end of the accounting period under the periodic inventory system. The periodic inventory system updates the inventory account periodically, while the perpetual inventory system updates it continuously after each sale and purchase.
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One of your customers owns five jlo 5s of 2042. the debentures have a conversion price of $15. when the market price of the convertible is 80, the parity price of the stock is?
The parity price of the stock is $16 per share.
The parity price of the stock can be calculated by dividing the market price of the convertible ($80) by the conversion ratio, which is the number of shares received upon conversion for each debenture. Since each JLO 5 of 2042 converts into 5 shares of stock, the conversion ratio is 5. Therefore, the parity price of the stock is $80 divided by 5, which equals $16 per share.
in concluding remarks, the parity price of a stock represents the price at which a convertible security can be converted into common stock without any advantage or disadvantage. In this case, the parity price is $16 per share based on the conversion price of $15 and the market price of $80.
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Mr Kkiriku Avolowo has just becin cmploycd as the ncw head of the engincering department of Marie Grace Karaba Lud. Soon after kis employment, he was called to a mecting by seniof management and was sold the following: "whe engineering departanent has the highest cdocated and highest paid staff in the coengany yet the least performing department." Tum the sitaation afound Kiriku immediately called a enceting for the cn jincers to enquire from them why they were not performing- The engiacers said the following arnong other factors as reasons accotanting for their nonperformance. - "We were employed here as engineers and not pencil pushers or repairers" " "We are made fo write reports all day dearing as time to do our work" - We are made to account for every dollar we spend in this department tuming us into accountants whereas we are supposed to be ceginecrs.". Mr. Kiriku Awolowo who wanted to move to actioe imancdiately asked the engincers to from hence forth submit a report 10 his office an their ncw head and no more to the head office directly. Mr Kiriku piled up the reports on his desk and by the fourth wock, the reports were 5 feet tall, At the end of the eleventh week, secretary froen finunce department thead office called for the monthly expense sheet. Kinkw asked her to meet han (Kiriku) at the CEO's ofTice the following day. Kiniku quicky callod Mr. Koff Edja Busia the CEO to arrange a mocting with him in the cocnpany of his executives. Kirike then went fo the meeting the following morning. On reaching, he dumped the reports on the CEO "s desk before the rest of the other executives. This action was immediately followed by a statement from him. This is one of the feasons for the nonperformance of the engineers. I suggest I write one simple report as the head for the department so the engincers'time could be used more profitably. QUESTIONS After critical analysik. 1-Identify 5 Managerial and Leadership challenges facing the engincering departanent of Marie Girace Karaba lid. 2-Explain why you think those problems existed 3-What according to your leadership skills wall you suggest as solutions to the challenges identified.
The challenges facing the engineering department of Marie Grace Karaba Ltd include role ambiguity, limited autonomy, poor communication, inefficient work processes, and low employee morale.
The engineering department is grappling with unclear job expectations, as engineers feel their roles are overshadowed by administrative tasks. Limited decision-making authority hampers their ability to perform effectively. Communication gaps and inadequate feedback channels contribute to misunderstandings and lack of support. Burdensome reporting requirements hinder productivity and time management. Low morale stems from a perceived undervaluation of engineers' contributions. Addressing these challenges requires clarifying roles, delegating authority, improving communication, streamlining processes, and boosting employee morale through recognition and development opportunities. By addressing these issues, the department can enhance performance and create a more supportive and efficient work environment.
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Brushy Mountain Mining Company’s coal reserves are being depleted, so its sales are falling. Also, environmental cost increases each year, so its cost are rising. As a result, the company’s earnings and dividends are declining at the constant rate of 4% per year. If D0= $6 and rs= 14%, what is the estimated value of Brushy Mountain’s stock?
The correct answer is $32, please show the process, i cant get this result. THANKS
According to the question The estimated value of Brushy Mountain Mining Company's stock is $32.
To calculate the estimated value of the stock, we can use the Gordon Growth Model (also known as the Dividend Discount Model). According to the model, the value of a stock is determined by the present value of its expected future dividends. Given that the dividends are declining at a constant rate of 4% per year and the required rate of return (rs) is 14%, we can apply the formula:
P0 = D0 * (1 + g) / (rs - g),
where P0 is the estimated stock value, D0 is the current dividend, g is the constant growth rate, and rs is the required rate of return.
Plugging in the values, we have:
P0 = $6 * (1 + (-0.04)) / (0.14 - (-0.04)),
P0 = $6 * (1 - 0.04) / (0.14 + 0.04),
P0 = $6 * 0.96 / 0.18,
P0 ≈ $32.
Therefore, the estimated value of Brushy Mountain's stock is approximately $32.
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What property would you use to get the text that has been entered into a text area?
To retrieve the text entered right into a textual content place, you can use the "value" assets related to the textual content region element. This property allows you to get admission to and manipulate the entered text for further processing or usage in programming.
To retrieve the textual content that has been entered into a text region, you can use the "fee" assets. In maximum programming languages or frameworks, the textual content location element usually has a cost attribute related to it. By getting access to this attribute or belongings, you may retrieve the entered textual content.
For example, in JavaScript, you could use the subsequent code to get the textual content entered in a text location with an identity of "myTextArea":
var text = document.getElementById("myTextArea").value;
In HTML, the textual content location could appear to be this:
<textarea id="myTextArea"></textarea>
By the use of the "cost" belongings, you may gain the content of the textual content region and assign it to a variable or use it for similar processing, together with saving it to a database or performing validation assessments.
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