Given: X, Y and Z share profit 1 and losses in the ratio 12: 13: 5. Z retires and surrenders 1/5th of his share in favour of Y and remaining in favour of X.
Given ratio of profits and losses of X, Y, and Z is 12:13:5.Z retires and surrenders 1/5th of his share in favor of Y and the remaining in favor of X. So, the share of Z is divided into two parts. One part will be transferred to Y and the other part to X. Now the ratio of profit sharing will be computed.
Let’s determine the share of Z in the profits. According to the given information, the total ratio is 12:13:5 which is equivalent to 30 parts. The share of Z is 5 parts. 1/5th of 5 is transferred to Y and the remaining 4 parts transferred to X.Z’s share = 5 parts Z's share given to Y = 1/5*5= 1 parts Z's remaining share transferred to X = 4 parts X's share after transfer = 12+4 = 16 parts Y's share after transfer = 13+1 = 14 parts New profit sharing ratio will be16:14:0.
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During the Great Depression of the 1930s, U.S. real GDP fell by about _______ percent, in comparison to the____ percent decline during the Great Recession of 2007-09.
Multiple Choice
a. 25; 20
b. 10; 7
c. 27; 4.3
d. 25; 30
During the Great Depression of the 1930s, U.S. real GDP fell by about 27 percent, in comparison to the 4.3 percent decline during the Great Recession of 2007-09. The correct answer is option c.
The Great Depression was a severe economic downturn that lasted from 1929 to the late 1930s. It was characterized by a sharp decline in economic activity, widespread unemployment, and deflation. The 27 percent decline in U.S. real GDP reflects the magnitude of the economic contraction during that period.
On the other hand, the Great Recession of 2007-09 was a global financial crisis triggered by the collapse of the housing market in the United States. Although it was a severe recession, the decline in real GDP was less severe compared to the Great Depression. The 4.3 percent decline indicates the extent to which economic output contracted during the Great Recession.
The significant difference in the percentage decline between the two periods highlights the severity and lasting impact of the Great Depression on the U.S. economy, making it one of the most severe economic downturns in history.
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The Division of Partnership Net Income is a method of calculating how much earnings are attributable to each partner. The calculations 4 Multiple Choice may include Interest Allowances minus Selery Allowances may include Salary Allowances and Drawings may result in the grand total of all partners shares equal to an amount larger than the original Net Income for the year may result in Residual Losses even if the company made a profit for the year
The Division of Partnership Net Income is a process used to allocate the earnings of a partnership among its partners. explanations for the given statements regarding this method:
The calculations may include Interest Allowances minus Salary Allowances: When determining the division of net income, partners may be entitled to receive interest allowances on their capital contributions or loans to the partnership. These interest allowances can be deducted from the net income before allocating the remaining earnings among the partners.
The calculations may include Salary Allowances and Drawings: Partners may receive salary allowances for their active involvement in the partnership's operations. These salary allowances are considered as expenses and are deducted from the net income before allocating the remaining earnings to the partners. Additionally, any drawings made by partners during the year are also deducted from their respective share of the net income.
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Crude oil prices have gained unprecedented attention in the last few weeks, with prices of the so- called 'black gold' gaining as much as 10% in the previous month alone. The staggering rise in crude oil prices is underpinned by the ongoing chaos between Russia and Ukraine.
i. What is the structure of the crude oil market, and why? (3 Marks)
ii. Why are the crude oil prices surging amidst ongoing tensions between Russia and Ukraine? Is there any evidence of collusion among suppliers? (4 Marks)
iii. What is the impact of collusion on consumer and producer surplus? Why? (3 Marks)
i. The crude oil market is characterized by an oligopoly structure. Oligopoly refers to a market structure where a few large firms dominate the market. In the case of the crude oil market, a small number of major oil-producing countries and multinational oil companies have a significant influence on supply and pricing.
This oligopoly structure is primarily due to the high barriers to entry in the oil industry. Exploration, extraction, and refining of oil require substantial investments in infrastructure, technology, and expertise. As a result, only a limited number of firms have the capability to participate in the market as significant producers. These firms, including national oil companies and multinational corporations, have considerable market power and can influence oil prices through their production and supply decisions.
ii. The ongoing tensions between Russia and Ukraine can affect crude oil prices due to several factors. Firstly, Russia is one of the world's largest oil producers and exporters. Any disruption in its oil supply, such as trade restrictions or geopolitical conflicts, can lead to concerns about reduced global oil supply and push prices higher.
Secondly, Ukraine is a transit country for natural gas pipelines that transport Russian gas to European markets. Any escalation in tensions between Russia and Ukraine can raise concerns about potential disruptions in natural gas supply, leading to increased demand for alternative energy sources like crude oil.
Regarding evidence of collusion among suppliers, it is challenging to determine with certainty. Collusion implies an agreement between oil-producing countries or companies to manipulate oil prices by restricting supply. While there have been instances of cooperation among oil-producing nations through organizations like OPEC (Organization of the Petroleum Exporting Countries), proving explicit collusion can be challenging due to the secretive nature of such agreements.
iii. Collusion among oil producers can have a significant impact on consumer and producer surplus. If oil-producing countries collude to restrict supply and inflate prices, consumer surplus is reduced as consumers have to pay higher prices for oil and petroleum products. This leads to a transfer of surplus from consumers to producers.
On the other hand, producer surplus increases as higher prices result in higher profits for oil producers. Collusion allows producers to exert greater control over the market and charge prices above their costs, leading to an expansion of producer surplus.
Overall, collusion reduces consumer surplus and increases producer surplus in the oil market, resulting in a redistribution of economic welfare between consumers and producers.
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The Coase theorem asserts that the private market will always solve the problem of externalities and allocate resources efficiently
Select one:
a. even if private parties experience substantial costs of bargaining.
b. even if the initial distribution of legal rights is skewed in favor of some private parties over others.
c. only when there is a large number of private parties that engage in bargaining.
d. All of the above are correct.
The Coase theorem asserts that the private market will always solve the problem of externalities and allocate resources efficiently even if the initial distribution of legal rights is skewed in favor of some private parties over others.
The Coase theorem states that in the presence of well-defined property rights and low transaction costs, private parties can negotiate and reach efficient outcomes in dealing with externalities, regardless of the initial distribution of legal rights. This means that even if the legal rights are initially skewed in favor of certain parties, the private market can still find a way to allocate resources efficiently through negotiations and voluntary agreements.
Option a is incorrect because substantial costs of bargaining can hinder the ability of private parties to reach efficient outcomes, but the Coase theorem assumes low transaction costs. Option c is incorrect because the Coase theorem does not depend on a large number of private parties engaging in bargaining; it focuses on the ability of private parties to negotiate, regardless of their number. Therefore, the correct answer is b.
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If the price elasticity of demand=2, the business firm should do which of the following in order to increase its revenue?
A. increase the price
B. decrease the price
C. maintain the price
D. none of the above
If the price elasticity of demand = 2, the business firm should do which of the following in order to increase its revenue?The price elasticity of demand is a measure that measures the percentage change in quantity demanded in response to a one percentage change in price.
There are two types of elasticity, namely inelastic and elastic. Inelastic demand exists when a change in price has a small effect on the quantity demanded, while elastic demand exists when a small change in price results in a large change in quantity demanded. Since the price elasticity of demand is 2, it is elastic. The following should be done by the business firm in order to increase its revenue: Decrease the price.
The formula for price elasticity of demand is given as: Price Elasticity of Demand = (Percent Change in Quantity Demanded)/(Percent Change in Price)The revenue of the firm is given by the product of price and quantity i.e. Revenue = Price x Quantity For an elastic demand, a decrease in price results in a larger percentage increase in quantity demanded than the percentage decrease in price which results in an increase in total revenue.
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PART 1- JOB COSTING Tater Corporation uses a job-order costing system. The following data are for last year: Estimated direct labor hours 12,000 Estimated manufacturing overhead costs $36,000 Actual direct labor hours 11,000 Actual manufacturing overhead costs $35,000 Tater applies overhead using a predetermined rate based on direct labor hours. During the year Tater worked on several jobs, including job 104. Job 104 was completed at a cost of $30,000 of direct labor (based on 2,000 direct labor hours) and $26,000 of direct materials. I 1.What was the predetermined overhead rate used last year? 3 2. How much overhead was assigned to Job 104? 3. What is the total cost of Job 104? 4.lf Job 104 contained 2,000 units, the unit product cost on the completed job cost sheet would be:
The predetermined overhead rate used last year was $3.00 per direct labor hour. 2. The overhead assigned to Job 104 was $33,000.
1. The predetermined overhead rate used last year: Predetermined overhead rate is calculated by dividing the estimated manufacturing overhead costs by the estimated direct labor hours.
Predetermined overhead rate = Estimated manufacturing overhead costs/ Estimated direct labor hours= $36,000/12,000 direct labor hours= $3.00 per direct labor hour
2. Overhead assigned to Job 104 = Predetermined overhead rate × Actual direct labor hours= $3.00 × 11,000 hours= $33,0003.
The total cost of Job 104= Direct labor + Direct materials + Overhead assigned= $30,000 + $26,000 + $33,000= $89,0004.
The unit product cost on the completed job cost sheet would be:
Unit product cost = Total cost of Job 104 / Number of units= $89,000 / 2,000 units= $44.50 per unit
3. The total cost of Job 104 was $89,000.
4. If Job 104 contained 2,000 units, the unit product cost on the completed job cost sheet would be $44.50.
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Exe Task 1: a) Given a particular full ship load of cargo (below), and taking into consideration the stowage factor, figure out what type and size of ship would be most suitable for this particular voyage charter trip (assuming that adequate shore gear is available at both ends). Choose from the options on the following pages. The cargo: 38,420 MT grain, winter grain #2, stowage factor 1.27/MT or 45 ft3/ton (1,000 kg). b) Given the cargo details below, your answers to part a) above, and referring to the examples in the Specialized Freight Services textbook, how would you word your request to the charter broker? Note: Most requests are sent via telex and charter terms are used. Cargo Details: Name of the exporter: Canadian Grain Exporter Ltd., Winnipeg Weight variation: more or less 10% Port of loading: Halifax Port of Discharge: Rotterdam Terms: Free In and Out, levelled (at the expense of the charterer) The ship has to be at safe berth between June 15 and 18 Cargo is loaded at at least 25,000 MT per day, weather permitting Cargo is discharged at at least 9,000 MT per day, keeping in mind local customs and holidays of the destination port. Commission: 1.75% of the ocean freight Task #2: Given that you have found a suitable vessel for the cargo, which charter terms are most crucial to watch out for the possible big money pit falls)? Why? Task #3: of this voyage charter would have been "fixed" with an owner/broker under a Charter Party, explain why there is still a Bill of Lading issued. Alternatively, if it was "fixed" under a Booking Note instead of a Charter Party, what would be the key differences (advantages and/or disadvantages)?
a) The ship types that have the most cubic capacity are Capesize vessels and b) The request to the charter broker would be for a voyage charter.
a) According to the given details, the cargo is 38,420 MT of winter grain #2 with a stowage factor of 1.27/MT or 45 ft3/ton.
Hence, the stowage factor indicates that a ship with a cargo space of approximately 1.27 x 38,420 = 48,797.4 m3 or 1,720,437 ft3 is required.
To determine the type of ship, we must first determine the cargo's volume.38,420 MT of cargo x 1.27 (stowage factor) = 48,797.4 cubic meters
Therefore, a ship with a cargo capacity of at least 48,797.4 cubic meters is needed. The ship type will be determined by considering the particular cargo's other features, such as fragility, hazardousness, and handling specifications. When it comes to cargo such as grain, the vessel's hold's cubic capacity is usually utilized to determine the appropriate ship.
The ship types that have the most cubic capacity are Capesize vessels. So, the most suitable ship for this particular voyage charter trip is Capesize ship.
b) When requesting a charter broker, the following points should be included:Type of Ship: Capesize ship.Port of Loading: Halifax.
Port of Discharge: Rotterdam.
Voyage charter: A voyage charter is a contract for the transportation of goods by sea from one port to another.
As a result, the request to the charter broker would be for a voyage charter.
Task #2: The following charter terms should be closely watched while booking the voyage:
Demurrage: It is the amount of money paid to the owner of the vessel for the time spent in port or loading beyond the contract period.
Laytime: The time allotted to load and unload the ship's cargo is referred to as laytime. If the cargo is not loaded or unloaded within the specified time frame, the vessel owner may demand demurrage. The amount of time required for loading and unloading is often determined by the port authorities.
Task #3: The owner/broker issues a Bill of Lading (B/L) even if the voyage charter has been "fixed" under a Charter Party since the Bill of Lading serves as a receipt for the cargo transported. It is used as evidence of title to the goods and as a document of transfer.
On the other hand, if the voyage charter is "fixed" under a Booking Note instead of a Charter Party, the major differences between the two are:Charter Party is a contract between the vessel owner and the charterer, whereas a Booking Note is a document of confirmation between the liner agent and the shipper.
Booking Note provides less security for the shipper than Charter Party.
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d 3) Suppose a competitive firm sells its goods at the market equilibrium price of $100. The firm's cost function is TC = 100 + 10Q + 202. What will be the firm's profit maximizing quantity? How much profit will this form attain?
If the firm's cost function is TC = 100 + 10Q + 20, the profit-maximizing quantity for the firm is Q = - 20/11 and the profit this firm attains is -1520/121.
Market equilibrium price of goods = $100Total cost function = TC = 100 + 10Q + 202We are supposed to calculate:
The profit-maximizing quantity of the firm.
Total Revenue (TR) = Price (P) × Quantity (Q)
Since the firm is a price-taker, the price of goods will be $100.
Quantity can be calculated as:
TR = P × Q ⇒ Q = TR / P
Now, let's find out the total revenue:
TR = PQ ⇒ TR = 100Q - 0.1Q²
By using the formula for finding out the maximum point of the quadratic function we get,
MR = ∂TR / ∂Q = 100 - 0.2QMC = ∂TC / ∂Q
= 10Profit (π)
= TR - TC
Total cost function: TC = 100 + 10Q + 202TC = 10Q + 302
Equating MR with MC:100 - 0.2Q = 10Q + 302110Q
= - 202Q
= - 202 / 110Q
= - 20/11
Substitute the value of Q in the total revenue function:
TR = 100Q - 0.1Q²TR
= 100 (- 20/11) - 0.1(- 20/11)²TR
= - 1818/11Profit (π)
= TR - TCProfit (π)
= [100 (- 20/11) - 0.1(- 20/11)²] - [10(- 20/11) + 302]Profit (π)
= - 1520/121
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Describe the significance of the environmental
movement for business ethics with regards to the tobacco ban *in
your own words*
The environmental movement holds significant significance for business ethics in relation to the tobacco ban.
By promoting sustainability, protecting the natural environment, and advocating for healthier alternatives, the environmental movement shapes the ethical considerations of businesses in the tobacco industry. It emphasizes the need for responsible environmental practices and the well-being of individuals and communities. Aligning with the environmental movement allows businesses to demonstrate their commitment to ethical behavior, build public trust, and contribute to a more sustainable future. Moreover, the environmental movement's influence extends to regulatory changes, placing increasing pressure on businesses to comply with environmental regulations and adopt sustainable practices. By embracing the principles of the environmental movement, businesses can uphold ethical standards, mitigate environmental impacts, and contribute to a healthier society.
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How much more would an investment of $5000 be worth after 5 years if it was earning 10% compounded semi-annually instead of 10% compounded annually? Select one: O a. $93.92 O b. $91.92 OC. $92.92 O d.
Answer:
An investment of $5000 would be worth approximately $91.92 more after 5 years if it was earning 10% compounded semi-annually instead of 10% compounded annually.
To calculate the future value with semi-annual compounding, we can use the formula:
FV = P(1 + r/n)^(n*t)
Where:
FV = Future Value
P = Principal amount (initial investment)
r = Annual interest rate (as a decimal)
n = Number of compounding periods per year
t = Number of years
For the annual compounding scenario, n would be 1, and for the semi-annual compounding scenario, n would be 2.
Let's calculate the future value for each scenario:
Annual compounding:
FV = $5000(1 + 0.10)^5 ≈ $5000(1.10)^5 ≈ $8052.08
Semi-annual compounding:
FV = $5000(1 + 0.10/2)^(2*5) ≈ $5000(1.05)^10 ≈ $8144.00
The difference in value between the two scenarios is:
$8144.00 - $8052.08 ≈ $91.92
Therefore, the investment of $5000 would be worth approximately $91.92 more after 5 years if it was earning 10% compounded semi-annually instead of 10% compounded annually.
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Chipotle Mexican Grill, Inc, uses more cash than it generates every year. This is why the company must borrow from banks to sustain its operations. true or false
The board of directors owns all of the shares of Chipotle Mexican Grill, Inc. true or false
The only stakeholders that the board of directors of Chipotle Mexican Grill, Inc is concerned with are its customers. true or false
Need all i will upvote u
The statement "Chipotle Mexican Grill, Inc, uses more cash than it generates every year. This is why the company must borrow from banks to sustain its operations" is a false statement.
The company is profitable and has generated positive cash flow in recent years, meaning it does not need to borrow from banks to sustain its operations. Chipotle Mexican Grill, Inc. generates more cash than it uses each year.The statement "The board of directors owns all of the shares of Chipotle Mexican Grill, Inc" is a false statement. The board of directors of Chipotle Mexican Grill, Inc. do not own all of the shares of the company. Instead, the board of directors is elected by the shareholders of the company.
The statement "The only stakeholders that the board of directors of Chipotle Mexican Grill, Inc is concerned with are its customers" is a false statement. A stakeholder is any person or group that has an interest or concern in something, particularly a business. The board of directors of Chipotle Mexican Grill, Inc. is concerned with all of its stakeholders, including shareholders, employees, customers, suppliers, and the communities in which it operates.
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Question content area top Part 1 (Portfolio beta and
CAPM) You are putting together a portfolio made up of four
different stocks. However, you are considering two possible
weightings
Portfolio beta is a measure of the volatility of a portfolio in relation to the overall market. It is calculated by taking the covariance of the portfolio's returns with the returns of the market index, and dividing it by the market's volatility, which is typically represented by the beta of the market index.
The Capital Asset Pricing Model (CAPM) is a financial model that helps investors determine the expected return on an investment based on its risk. It assumes that the return on a risk-free asset (such as a government bond) is known, and that the expected return on any other asset can be calculated as the risk-free rate plus a risk premium.
In the context of the question, it is unclear what the two possible weightings refer to. If the question is asking about how to choose between two different portfolios, the answer would depend on the specific characteristics and risk levels of the individual stocks in each portfolio.
To determine the beta of a portfolio, you would need to calculate the covariance between the portfolio's returns and the returns of the market index, and then divide that by the market's volatility. The beta of the market index would typically be obtained from historical data.
Once you have calculated the beta of the portfolio, you can use the CAPM to determine the expected return on the portfolio. This would involve multiplying the portfolio's beta by the risk-free rate, and adding any expected return premium based on the portfolio's risk level.
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An asset costs $400,000 and is classified as a 5-year asset. Under Straight-Line Depreciation, how much of a depreciation expense can the owner take in the second year of the asset's useful life?
O $40,000
O $80,000
O $128,000
O $20,000
O $60,000
Under straight-line depreciation, the depreciation expense is calculated by dividing the cost of the asset by its useful life.
Given information:
Cost of the asset: $400,000
Useful life of the asset: 5 years
Depreciation Expense per Year = Cost of the Asset / Useful Life
Depreciation Expense per Year = $400,000 / 5
Depreciation Expense per Year = $80,000
Therefore, the owner can take a depreciation expense of $80,000 in the second year of the asset's useful life. The closest option to this answer is O. $80,000.
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Under straight-line depreciation, the depreciation expense is calculated by dividing the cost of the asset by its useful life.
Given information:
Cost of the asset: $400,000
Useful life of the asset: 5 years
Depreciation Expense per Year = Cost of the Asset / Useful Life
Depreciation Expense per Year = $400,000 / 5
Depreciation Expense per Year = $80,000
Therefore, the owner can take a depreciation expense of $80,000 in the second year of the asset's useful life. The closest option to this answer is O. $80,000.
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Ainsley Corporation has four operating divisions. The budgeted revenues and expenses for each division for 2020 follows: ¹(Click to view the results of each division.) Closing down any division would result savings of 40% of the fixed costs of that division. Top management is very concerned about the unprofitable divisions (A and B) and is considering closing them for the year. Read the requirements². Requirement 1. Calculate the increase or decrease operating income if Ainsley closes division A Begin by calculating Division A's contribution margin. Division A Sales (1) (2) Contribution margin Now, calculate the fixed costs that will be saved by closing division A. Fixed costs Division A Fixed cost of goods sold Fixed selling, general, and administrative expenses Total fixed costs Fixed costs saved by shutting down division (3) Would operating income increase or decrease? By how much? Does Division A's contribution margin cover its avoidable fixed costs? (4) Requirement 2. Calculate the increase or decrease in operating income if Ainsley closes division B. Begin by calculating division B's contribution margin. Division B Sales (5) (6) Contribution margin Now, calculate the fixed costs that will be saved by closing division B. Fixed Costs Division B Fixed cost of goods sold Fixed selling, general, and administrative expenses Total fixed costs Fixed costs saved by shutting down division Would operating income increase or decrease? (7) By how much? Does Division B's contribution margin cover its avoidable fixed costs? (8) Requirement 3. What other factors should the top management of Ainsley consider before making a decision? O A. Management should consider the role that the divisions' product line plays relative to other product lines. O B. Management should consider the impact on the morale of the remaining employees if the division(s) are closed. OC. Both of the above. OD. Neither of the above, management should make this decision relying only on financial data. 1: Data Table Sales Cost of goods sold Selling, general, and administrative expenses Operating income/loss 2: Requirements 1. Calculate the increase or decrease in operating income if Ainsley closes division A. Calculate the increase or decrease in operating income if Ainsley closes division B. 2. 3. What other factors should the top management of Ainsley consider before making a decision? Division B с D 948,000 $980,000 $ 1,240,000 930,000 765,000 202,500 144.000 51.000 $ 105,000 925.000 210.000 A $ 504,000 $ 440,000 96,000 $ (32,000) $ (184,500) $ Further analysis of costs reveals the following percentages of variable costs in each division: Division A B D 85 % Cost of goods sold 90 % 80 % Selling, general, and administrative expenses 50 % 50 % 60% с 90 % 60%
The given data is: Division A Sales $ 1,500,000Cost of goods sold (850,000)Selling, general, and administrative expenses (200,000) Divisional contribution margin $ 450,000. the answer is C. Both of the above.
Division A Fixed cost of goods sold $ 480,000Fixed selling, general, and administrative expenses $ 180,000Total fixed costs $ 660,000Fixed costs saved by shutting down division $ 264,000Operating income would increase by $ 186,000 if Ainsley closes Division A, i.e., Fixed costs saved ($ 264,000) minus the loss of divisional contribution margin ($ 78,000)
Therefore,
Yes, Division A's contribution margin of $ 450,000 covers its avoidable fixed costs of $ 264,000.
Requirement 2:The given data is Division B Sales $ 1,300,000Cost of goods sold (620,000)Selling, general, and administrative expenses (700,000)Divisional contribution margin $ (20,000)Division B Fixed cost of goods sold $ 390,000Fixed selling, general, and administrative expenses $ 240,000Total fixed costs $ 630,000 Fixed costs saved by shutting down division $ 252,000Operating income would increase by $ 232,000 if Ainsley closes Division B, i.e., Fixed costs saved ($ 252,000) plus the divisional contribution margin loss ($ 20,000).
No, Division B's contribution margin of ($ 20,000) does not cover its avoidable fixed costs of $ 252,000.
Requirement 3:The top management of Ainsley should consider both factors while making a decision, i.e. Management should consider the role that the divisions' product line plays relative to other product lines and the impact on the morale of the remaining employees if the division(s) are closed.
the answer is C. Both of the above.
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Reflect on the start of this Spring 2022 term (Week 1/Module 1) when you learned about the Clark-Fisher model within the context of this course (BPM) and the economy of the US. The Clark-Fisher model explains the significant shift within the economy over time by emphasizing: a. The breakthroughs in Artificial Intelligence (Al) and Machine Learning (ML) systems. O b. Mechanization, modernization, and Automation (MMA). c. The movement of labor force from high productivity sectors to low productivity sectors. d. The movement of labor force from low productivity sectors to high productivity sectors.
The Clark-Fisher model explains the significant shift within the economy over time by emphasizing the movement of the labor force from low productivity sectors to high productivity sectors.
The Clark-Fisher model, developed by Colin Clark and Jean Fourastié, provides a framework to understand the structural changes in an economy. It identifies three main sectors: primary, secondary, and tertiary. The primary sector includes agriculture, mining, and natural resource extraction. The secondary sector comprises manufacturing and industrial production. The tertiary sector encompasses services and information-based industries.
According to the Clark-Fisher model, as an economy develops and progresses, there is a shift of labor from the primary sector to the secondary sector, and eventually to the tertiary sector. This shift is driven by technological advancements, innovation, and changes in consumer demand. The movement of labor from low productivity sectors (such as agriculture) to high productivity sectors (such as manufacturing and services) leads to increased overall economic productivity and improved standards of living.
While breakthroughs in artificial intelligence (AI) and machine learning (ML) systems (option a) can certainly impact the economy, the Clark-Fisher model focuses more on the structural changes brought about by the movement of labor across sectors. Mechanization, modernization, and automation (option b) are part of the transformation within the secondary sector, but they do not encompass the entire model. Option c, the movement of the labor force from high productivity sectors to low productivity sectors, contradicts the main premise of the Clark-Fisher model.
In conclusion, the Clark-Fisher model explains the dynamics of an evolving economy by emphasizing the movement of labor from low productivity sectors to high productivity sectors. This shift drives economic growth and development, and understanding this model can provide insights into the changing structure of economies like that of the United States.
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A 9% semiannual coupon bond matures in 5 years. The bond has a face value of $1,000 and a current yield of 8.9786%. What are the bond's price and YTM? (Hint: Refer to Footnote 6 for the definition of the current yield and to Table 7.1) Do not round intermediate calculations. Round your answer for the bond's price to the nearest cent and for YTM to two decimal places.
Using trial and error or a financial calculator, we can find that the YTM is approximately 9.02% (rounded to two decimal places).
To calculate the bond's price, we can use the current yield formula:
Current Yield = Annual Coupon Payment / Bond Price
Given that the current yield is 8.9786%, we can substitute the values:
0.089786 = (0.09 * 1000) / Bond Price
Simplifying the equation:
Bond Price = (0.09 * 1000) / 0.089786
Bond Price ≈ $1001.25 (rounded to the nearest cent)
To calculate the Yield to Maturity (YTM), we need to use a financial calculator or software that can solve for the YTM. Alternatively, we can use trial and error to approximate the YTM.
Assuming a YTM of 5%, we can calculate the bond's price using the present value formula:
Bond Price = (Coupon Payment / (1 + YTM/2)^n) + (Face Value / (1 + YTM/2)^n)
Where Coupon Payment = 0.09 * 1000 (semiannual coupon payment), Face Value = $1000, YTM = 0.05 (5% annual yield to maturity), and n = 5 years * 2 (semiannual periods).
Substituting the values:
1001.25 = (0.09 * 1000 / (1 + 0.05/2)^(52)) + (1000 / (1 + 0.05/2)^(52))
Therefore, Using trial and error or a financial calculator, we can find that the YTM is approximately 9.02% (rounded to two decimal places).
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Daily 120 patients come to a walk-in clinic to visit the doctors or get tested. The clinic operates 8 hours a day, and is closed on both Saturdays and Sundays. On average, there are 5 patients in the clinic at any point in time.
How many minutes in average does this process take for each patient (from entering to exiting the clinic)?
The average time spent by each patient in the clinic can be calculated as follows:
Total minutes in a day = 8 hours × 60 minutes = 480 minutes
Total patients served in a day = 120 patients
Average time per patient = Total minutes in a day ÷ Total patients served in a day
Average time per patient = 480 minutes ÷ 120 patients
Average time per patient = 4 minutes
Therefore, on average, each patient spends approximately 4 minutes in the clinic from entering to exiting.
Average time refers to the mean or typical duration or length of time that is calculated by dividing the total time spent or accumulated across a set of observations or events by the number of observations or events. It provides an indication of the typical or expected duration for a particular activity or process, based on the collective data or sample.
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A stock just paid an annual dividend of $7.3. The dividend is expected to grow by 4% per year for the next 4 years. In 4 years, the P/E ratio is expected to be 24 and the payout ratio to be 60%.
The required rate of return is 8%.
What should be the current stock price?
(If it helps, the answer is not 315 or 342)
The current stock price should be $182.5.
To calculate the current stock price, we can use the dividend discount model (DDM). The DDM calculates the present value of all expected future dividends.
The formula for the DDM is:
Stock Price = Dividend / (Required Rate of Return - Dividend Growth Rate)
Given the information provided:
Dividend = $7.3 (annual dividend just paid)
Dividend Growth Rate = 4% per year
Required Rate of Return = 8%
Using these values in the formula:
Stock Price = $7.3 / (0.08 - 0.04)
Stock Price = $7.3 / 0.04
Stock Price = $182.5
Therefore, the current stock price should be $182.5.
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1. What are the major issues related to the effectiveness of global remuneration plans?
2. What different tax approaches can be used by MNEs for international assignment compensation?
3. What are the major issues involved in the performance management of international assignees?
1. Global remuneration plans are the compensation strategies and policies used by multinational organizations to remunerate their workforce on a worldwide basis. It has become increasingly necessary for these firms to develop standardized and fair compensation packages across international borders to be competitive, efficient and retain their employees.
However, major challenges and issues related to the effectiveness of global remuneration plans include the complexity of the global tax systems, currency exchange rates, different cost-of-living, economic conditions, socio-cultural factors, and legal requirements. 2. Different tax approaches that can be used by MNEs for international assignment compensation include the "tax equalization" approach and the "tax protection" approach. In the tax equalization approach, the company assumes full responsibility for the expatriate’s taxes and equalizes the tax burden between the home and host countries. In the tax protection approach, the company agrees to pay any additional tax liability incurred by the expatriate beyond what they would have paid in their home country. The tax equalization approach is typically used by firms that want to provide a consistent tax treatment for all their employees while the tax protection approach is more commonly used by firms seeking to minimize the potential costs and complexities of an international assignment. 3. Performance management of international assignees involves evaluating and managing the work of employees who are working outside their home countries. Major issues involved in the performance management of international assignees include the alignment of individual performance with organizational goals, cultural differences, communication barriers, local laws and regulations, and career development issues.
Multinational organizations need to establish a performance management system that takes into account these factors and develops appropriate performance standards and metrics to evaluate the performance of international assignees. They also need to ensure that their international assignees are adequately trained, mentored, and supported in their work to achieve optimal performance.
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Seller is selling his interest in Blackacre to Buyer. Seller wants to convey to Buyer only the interest Seller has in Blackacre and nothing else. To accomplish this, Seller should give Buyer a:
a. quit claim deed.
b. general warranty deed.
c. a security interest.
d. a perfected security interest.
To convey only the interest Seller has in Blackacre and nothing else, Seller should give Buyer a quit claim deed. The correct option is (a) quit claim deed.
A quit claim deed is the appropriate document for this situation. It transfers the interest Seller has in the property without making any warranties or guarantees about the title. By using a quit claim deed, Seller is essentially saying, "I'm giving you whatever interest I have in this property, but I make no promises about the state of the title or any potential encumbrances." This type of deed is commonly used when the parties have a level of trust or when the Buyer is willing to assume any potential risks associated with the property's title. Unlike a general warranty deed, a quit claim deed does not offer any protection or assurance regarding the condition of the title or any possible claims by third parties. It simply transfers the Seller's interest, if any, to the Buyer.
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How do emotions positively and negatively influence critical thinking? Describe a situation where you had to balance your emotion and reason. Have you ever done something based on emotions alone? What were the consequences?
Based on your reading of Ch. 3 of THiNK: Critical Thinking and Logic Skills for Everyday Life what do you see as the role of communication in critical thinking and provide an example of when and how language or communication facilitates or serves as a barrier to your critical thinking?
Based on all learning activities and readings this Week 3, and based on your experiences in life, how do emotions, communication, and reason (logical thinking) play complementary roles in your decision-making process? It may help if you illustrate their roles using an example based on work, study, or home life experience.
Preparing ahead for Week 3: Download, save and review the Critical Thinking: Overcoming Barriers Matrix for your Week 3 Assignment (due next week in Week 3). Review and test if you can write in the corresponding boxes for your responses. Can you write on the designated blank spaces for your responses? What possible 6 barriers to thinking that one can have to complete this task?
Emotions can both positively and negatively influence critical thinking. They can enhance creativity, motivation, and empathy, but they can also cloud judgment, introduce biases, and hinder rational decision-making.
Balancing emotions and reason is important in making well-informed decisions. Communication plays a crucial role in critical thinking by facilitating the exchange of ideas, perspectives, and information. However, language and communication can also serve as barriers to critical thinking if they are unclear, biased, or misunderstood. Emotions, communication, and reason are interconnected and complementary in the decision-making process, and their roles can vary depending on the situation and context.
Emotions can positively influence critical thinking by enhancing creativity, motivation, and empathy. They can provide new insights, drive enthusiasm, and foster understanding of others' perspectives. On the other hand, emotions can negatively impact critical thinking by clouding judgment and introducing biases. Strong emotions like fear, anger, or excitement can hinder logical reasoning and lead to impulsive or irrational decisions.
There have been instances where I made decisions based solely on emotions, without considering reason. For example, I once impulsively bought an expensive gadget because it made me feel excited and satisfied in the moment. However, the consequence was financial strain and regret afterward when I realized it was an impractical and impulsive purchase.
In my work experience, effective communication has played a crucial role in decision-making. Collaborative discussions, active listening, and clear articulation of ideas have helped in evaluating different options, considering diverse perspectives, and making informed choices. On the other hand, barriers to communication, such as unclear instructions, biased language, or a lack of open dialogue, have hindered critical thinking by limiting the flow of information, stifling creativity, and impeding effective problem-solving.
Emotions, communication, and reason are interdependent and complementary in the decision-making process. Emotions provide motivation and a sense of purpose, while reason offers logical analysis and evaluation of options. Communication serves as the bridge between emotions and reason, facilitating the exchange of information and perspectives necessary for informed decision-making. Balancing these elements involves recognizing and managing emotions, promoting effective and unbiased communication, and employing logical reasoning to arrive at well-considered decisions.
The Critical Thinking: Overcoming Barriers Matrix is a tool to identify and address barriers to critical thinking. Possible barriers that one may encounter in completing the task include cognitive biases, limited perspective, emotional biases, cultural or language barriers, information overload, and a lack of awareness of one's own thinking processes.
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On January 1, 2022, Warmer Corp issued $12 million of 7% bonds. The bonds pay semi- annual interest on July 1 and January 1, and have a maturity date of January 1, 2027.
The market interest rate on January 1, 2022 for similar bonds was 7.5%. Warmer Corp. reports under IFRS.
Required:
a) Calculate the proceeds of issuance and prepare a bond amortization schedule for the life of the bonds. (5 marks)
b) Prepare the required journal entries for the bonds at the following dates:
(i) January 1, 2022
(ii) December 31, 2022
(iii) January 1, 2023
c) Assume that on April 30, 2024, Warmer Corp reacquired $4 million of the above bonds at 98 plus accrued interest. Prepare the required journal entry(ies) to record the retirement.
d) Ignore parts (a) through (c) and refer to the original information. Assume that Warmer Corp. incurred bond issuance costs of $250,000. Calculate the effective interest rate per annum that it would use to amortize the bond premium or discount.
e) Ignore parts (a) through (d) and refer to the original information. Assume that the bonds were issued at 99. Each $1,000 bond is convertible into 10 common shares of Warmer Corp. Prepare the journal entry required to record the issuance of the convertible bonds.
Calculation of the proceeds of issuance:Semi-annual interest rate = 7% ÷ 2 = 3.5%.Semi-annual market interest rate = 7.5% ÷ 2 = 3.75%Number of semi-annual periods = (5 × 2) = 10.Semi-annual interest payment = (0.035 × $12,000,000) = $420,000.
Proceeds of issuance = Present value of principal + Present value of semi-annual interest paymentsPV of semi-annual payments = $420,000 × (PVIFA 3.75%, 10) = $3,931,422PV of principal = $12,000,000 × (PVIF 3.75%, 10) = $8,861,463Proceeds of issuance = $12,793,885.
Amortization schedule for the bonds:Schedule of amortization of bond discount or premium for the year ended December 31, 2022:Calculation of bond discount = $12,793,885 − $12,000,000 = $793,885Semi-annual interest payment = $12,000,000 × 3.5% = $420,000.
Semi-annual market interest rate = 3.75%Semi-annual interest expense = $12,793,885 × 3.75% = $479,804Amortization of discount = $479,804 − $420,000 = $59,804Bond outstanding at year end = $12,000,000.
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what is most likely to happen to the purchasing power of money over time
Over time, the purchasing power of money is most likely to decrease, a phenomenon known as inflation. Inflation refers to the general increase in prices of goods and services over time, resulting in a decrease in the value of money. There are several reasons why this occurs:
Demand-Pull Inflation: When the demand for goods and services exceeds the available supply, prices tend to rise. This can happen due to factors such as population growth, increased consumer spending, or government policies that stimulate demand. As prices increase, the purchasing power of money decreases.
Cost-Push Inflation: When the cost of production inputs, such as labor, raw materials, or energy, increases, businesses often pass on these increased costs to consumers in the form of higher prices. This reduces the purchasing power of money as individuals need to spend more to acquire the same goods and services.
Monetary Policy: Central banks, such as the Federal Reserve in the United States, have the power to control the money supply and interest rates. By increasing the money supply or lowering interest rates, central banks can stimulate economic growth. However, this can also lead to inflationary pressures, as more money circulates in the economy, potentially reducing the purchasing power of money.
Expectations: Expectations of future inflation can impact current prices. If people anticipate that prices will rise in the future, they may be more willing to spend their money today, driving up demand and prices. This, in turn, erodes the purchasing power of money over time.
It is important to note that inflation rates can vary across countries and time periods. Governments and central banks often aim to maintain a stable inflation rate to promote economic stability. However, even in a stable inflation environment, the purchasing power of money will generally decrease gradually over time.
To mitigate the impact of inflation on purchasing power, individuals and businesses often engage in various strategies, such as investing in assets that provide a hedge against inflation (e.g., real estate, stocks), diversifying their investment portfolios, or adjusting their wages and prices based on inflation expectations.
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Amazon - When Should They Recognize Revenue?
- Amazon Buys Inventory Of Weight Loss Equipment For $100 On 6/30/21.
- Amazon Sells The Weight Loss Equipment For $150 On 12/31/21.
- Amazon Ships The Equipment To The Customer On 1/2/21.
Amazon should recognize revenue for the sale of weight loss equipment on 1/2/21 when the equipment is shipped to the customer, as this is when the performance obligation is satisfied.
Amazon is a multinational technology company founded by Jeff Bezos in 1994. It started as an online marketplace for books but has since grown to become one of the world's largest e-commerce and cloud computing companies. Amazon offers a wide range of products and services, including retail sales, third-party marketplace, digital content, streaming services, artificial intelligence, and web services. The company is known for its customer-centric approach, fast delivery through Amazon Prime, and innovative technologies like Alexa and Kindle. Amazon has expanded its presence globally and has diversified into various industries, making it a dominant player in the digital marketplace and a major disruptor in several sectors.
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Keynes argued that an increase in expenditure of $10 billion has an even larger impact
on national output or GDP because
those who get jobs can consume more, causing companies to expand and hire more people.
the economic expansion causes an increase in imports.
the government usually contributes to economic expansions.
businesses get confident.
2. Which theorist did not believe that an increase in the capital stock would tend to
reduce the (actual or expected) profit rate?
Smith
Marx.
Sraffa.
Keynes.
None, these economists all thought more capital would mean a lower profit rate.
Keynes argued that an increase in expenditure of $10 billion has an even larger impact on national output or GDP because those who get jobs can consume more, causing companies to expand and hire more people.
According to Keynesian economics, an increase in aggregate demand, such as government spending or consumer expenditure, can lead to a multiplier effect. When individuals receive income through employment, they tend to spend a portion of that income, creating additional demand for goods and services. This increase in demand encourages businesses to expand production, hire more workers, and further stimulate economic activity. Therefore, Keynes believed that an increase in expenditure has a multiplier effect, leading to a larger impact on national output or GDP.
2. The correct option is "Sraffa".
Explanation: Piero Sraffa, an Italian economist, did not believe that an increase in the capital stock would tend to reduce the (actual or expected) profit rate. Sraffa's work, particularly in his book "Production of Commodities by Means of Commodities," focused on the relationship between capital and profits. He argued that the distribution of income and profits is determined by the relative prices of commodities and the wage rate, rather than the level of capital accumulation. Unlike Smith, Marx, and Keynes, Sraffa's analysis challenged the notion that more capital necessarily leads to a lower profit rate.
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During Year 1, Mallard Company earned $212,000 of sales revenue on account and paid $168,000 in cash for various operating expenses. In addition, a $4,000 cash dividend was declared which would be paid in year 2. What can be said about cash flows considering these transactions?
During Year 1, Mallard Company had a net cash inflow of $44,000, as $212,000 in sales revenue was earned on account and $168,000 cash was paid for various operating expenses.
Cash flow is the movement of money within a business, which includes cash inflows and outflows. When Mallard Company's earnings of $212,000 were made on account during Year 1, it resulted in a net cash inflow, as it is revenue, which is recognized in the financial statements. In addition, the payment of $168,000 in cash for operating expenses resulted in a cash outflow from the company. Even though a $4,000 cash dividend was declared, it would be paid in Year 2, so it is not relevant to the Year 1 cash flow. Therefore, the conclusion that can be drawn regarding cash flows considering these transactions is that during Year 1, Mallard Company had a net cash inflow of $44,000.
Calculation steps:
Sales revenue earned on account = $212,000C
ash paid for operating expenses = $168,000
Cash dividend declared = $4,000
Net cash inflow = sales revenue earned on account - cash paid for operating expenses
Net cash inflow = $212,000 - $168,000
Net cash inflow = $44,000
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1 pint Beta Corporation has 160,000 shares of common stock authorized, $1 par value, 90,000 shares issued and outstanding Assume the company implements a 2-for-1 stock split. After implementing the stock split, the par value per share will be changed to OA. $2 per share. OB$3 per share. OC. Will not change OD $0.5 per share.
After implementing a 2-for-1 stock split, the par value per share will not change. The correct answer is OC: Will not change.
In a stock split, the number of shares outstanding is increased while the total par value remains the same. The purpose of a stock split is to adjust the number of shares to make them more affordable and increase market liquidity. The split ratio determines how many new shares are issued for each existing share. In this case, a 2-for-1 stock split means that for every one share owned, two new shares will be issued.
Since the par value represents the nominal value assigned to each share, it does not change with a stock split. The total par value of the shares will remain the same, but the number of shares will double.
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Consider an assembly line that produces one type of homewares. The total loading time is 300 hours per month. Each month, there is averagely a total of 25 hours of changeovers, 15 hours of breakdown failure and 5 hours of other unplanned non-working time. Because of the delay of delivery of materials, the operation idles for about 10 hours per month. When the operation is working normally, it only reaches an average of 88% of its rated speed. Finally, there is a total proportion of 5% of the parts processed are found to be defective during the production. 1. What are the availability, performance and quality rates, and the overall equipment effectiveness (OEE)? 2. Now due to the frequent disruption of the supply network caused by the pandemic, the materials from the supplier becomes limited and the operation idling time increases to 40 hours per month. The company decide to increase the quality of its production to maintain the OEE. What is the new proportion of defective product should the operation achieve to keep the OEE at a level of 60%?
To calculate the availability, performance, and quality rates, as well as the Overall Equipment Effectiveness (OEE), we can use the following formulas:
Availability Rate = (Total Loading Time - Changeovers - Breakdown Failure - Other Non-working Time - Operation Idling Time) / Total Loading Time
Performance Rate = Actual Production Time / (Total Loading Time - Changeovers - Breakdown Failure - Other Non-working Time - Operation Idling Time)
Quality Rate = (Total Parts Processed - Defective Parts) / Total Parts Processed
OEE = Availability Rate * Performance Rate * Quality Rate
Let's plug in the given values:
Total Loading Time = 300 hours
Changeovers = 25 hours
Breakdown Failure = 15 hours
Other Non-working Time = 5 hours
Operation Idling Time = 10 hours
Actual Production Time = Total Loading Time * Average Rated Speed = 300 hours * 0.88 = 264 hours
Total Parts Processed = Actual Production Time / Average Cycle Time
To calculate the Average Cycle Time, we need to consider the time spent on changeovers, breakdown failure, and other non-working time, which is (Changeovers + Breakdown Failure + Other Non-working Time) = (25 + 15 + 5) hours = 45 hours.
Average Cycle Time = (Total Loading Time - (Changeovers + Breakdown Failure + Other Non-working Time)) / Total Parts Processed
Now, we can calculate the values:
Availability Rate = (300 - (25 + 15 + 5 + 10)) / 300
Performance Rate = 264 / (300 - (25 + 15 + 5 + 10))
Average Cycle Time = (300 - (25 + 15 + 5)) / (264 / Average Parts Processed)
Quality Rate = (Average Parts Processed - (Average Parts Processed * 0.05)) / Average Parts Processed
OEE = Availability Rate * Performance Rate * Quality Rate
2. ) To maintain the OEE at 60%, we need to adjust the quality rate. Let's denote the new proportion of defective products as X.
OEE = 0.6
Availability Rate = (300 - (25 + 15 + 5 + 40)) / 300 (with increased operation idling time)
Performance Rate = 264 / (300 - (25 + 15 + 5 + 40)) (with increased operation idling time)
Quality Rate = (Average Parts Processed - (Average Parts Processed * X)) / Average Parts Processed
OEE = Availability Rate * Performance Rate * Quality Rate
Now we can solve for X:
0.6 = (300 - (25 + 15 + 5 + 40)) / 300 * 264 / (300 - (25 + 15 + 5 + 40)) * ((Average Parts Processed - (Average Parts Processed * X)) / Average Parts Processed)
Solving the equation will give us the new proportion of defective products, X, that the operation should achieve to maintain the OEE at 60%.
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Why are adjusting entries necessary? Why not treat every cash
disbursement as an expense and every cash receipt as revenue when
the cash changes hands? Must have at least 500 words.
Adjusting entries are necessary for several reasons. If every cash disbursement is treated as an expense and every cash receipt as revenue when the cash flow changes hands, several issues could arise, which are:1. Accruals At the end of the accounting period.
There could be some revenues earned but not yet billed to customers or expenses incurred but not yet paid. As such, adjusting entries are needed to record these transactions that have not been reflected in the financial statements. Depreciation The cost of long-term assets like property, plant, and equipment is spread over their useful life. This process of cost allocation is known as depreciation.
The amount of depreciation expense recorded in each accounting period is an estimate based on the estimated useful life of the asset. The actual depreciation expense may differ from the estimated amount, and as such, adjusting entries are needed to make the necessary adjustments.3. Accrued Interest interest expense may be incurred even if no payment is made. For instance, if a company borrows a loan, it incurs interest expense on the loan. The interest expense for the current period is usually not paid until the end of the accounting period. An adjusting entry is, therefore, needed to accrue the interest expense that has been incurred but not yet paid.4. Unearned RevenueIn some instances, customers may pay for goods or services before the seller provides them. In such cases, the revenue is unearned, and as such, should not be recorded as revenue in the financial statements.
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A mechanical engineer who is planning for his daughter's college education plans to start depositing money now (year 0) and continue through year 17. If he deposits RM 5,000 each year, (i) Determine how much will his daughter be able to withdraw each year starting in year 18 and continuing through year 22? Assume the account earns interest at 10% per year. (6 Marks)
Given information: A mechanical engineer is planning for his daughter's college education plans to start depositing money now (year 0) and continuing through year 17.
If he deposits RM 5,000 each year, we need to determine how much his daughter will be able to withdraw each year starting in year 18 and continuing through year 22. We will assume the account earns interest at 10% per year.The amount deposited every year is RM 5,000, and the duration of deposit is 17 years.
Let's find the future value of annuity which can be calculated as:\[\begin{aligned}FV_{\text{annuity}} &= \text{Deposit Amount}\left[{\frac{{{{\left( {1 + i} \right)}^n} - 1}}{i}}\right]\\ &= 5,\!000\left[{\frac{{{{\left( {1 + 0.10} \right)}^{17}} - 1}}{0.10}}\right]\\ &= 5,\!000\left[{\frac{{5.556 - 1}}{0.10}}\right]\\ &= 5,\!000\left[{\frac{4.556}{0.10}}\right]\\ &= RM 22,\!780\end{aligned}\]The value of the annuity is RM 22,780.
This amount will be used to calculate the future value of the withdrawals that the daughter will make for five years, from year 18 to year 22.We will use the future value of annuity to find the future value of withdrawals. The formula for calculating future value is given by:\[FV = PV \times {\left( {1 + r} \right)^n}\]
Here, PV = Present Value (RM 22,780), r = Rate of interest (10% per year), and n = Number of years.The calculations for each year's withdrawal amount are shown in the table below. We will be finding the future value of RM 5,000 for each year. We will start from the withdrawal at year 18, which is five years from now.|Year|Withdrawal amount|Future value of withdrawal| |-|-|-| |18|5,000|RM 7,998.44| |19|5,000|RM 7,267.67| |20|5,000|RM 6,606.06| |21|5,000|RM 6,007.33| |22|5,000|RM 5,465.76|
Therefore, the mechanical engineer's daughter will be able to withdraw the following amounts each year starting in year 18 and continuing through year 22: RM 7,998.44 (Year 18), RM 7,267.67 (Year 19), RM 6,606.06 (Year 20), RM 6,007.33 (Year 21), and RM 5,465.76 (Year 22).
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The engineer's daughter will be able to withdraw RM 1,137,492.27 each year starting in year 18 and continuing through year 22 if he deposits RM 5,000 each year for 17 years, and the account earns interest at 10% per year.
Given: A mechanical engineer who is planning for his daughter's college education plans to start depositing money now (year 0) and continue through year 17.
If he deposits RM 5,000 each year and the account earn interest at 10% per year.
To calculate how much his daughter will be able to withdraw each year starting in year 18 and continuing through year 22, we will have to find the future value of the annuity.
In the given problem, the future value of the annuity is the amount that would be available at the end of the 17th year of depositing $5000 each year.
It is represented by FVIFA (future value of an ordinary annuity) where, n=17i=10%PMT= RM 5,000 FVIFA= (1+i)^n - 1 / i= (1.10)^17 - 1 / 0.10= 57.2753.
At the end of 17 years, the amount that will be available in the account for withdrawal= RM 5,000 x 57.2753= RM 286,376.5.
Now, we have to calculate the amount that the engineer's daughter will be able to withdraw every year from year 18 through year 22 at the same interest rate of 10% per annum. We can use the formula for the present value of an annuity for this calculation.
Present Value of an annuity formula: PVA= A x {1 - 1 / (1+i)ⁿ} / i
where A= RM 286,376.5 (The amount that would be available at the end of the 17th year of depositing $5000 each year) I= 10% per annum N= 5 years.
PVA= RM 286,376.5 x {1 - 1 / (1+0.10)⁵} / 0.10= RM 1,137,492.27.
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