The level of production that maximizes profit is Q = 74.77.
The level of production that maximizes profit, we need to find the quantity that maximizes the difference between total revenue (TR) and total cost (TC). Given the revenue function P = 152 - 1Q and the cost function TC = 161 + 1Q^2, we can express profit (π) as the difference between total revenue and total cost: π = TR - TC.
To maximize profit, we need to find the quantity (Q) at which the derivative of profit with respect to Q is equal to zero. Taking the derivative of profit, we get dπ/dQ = d(TR - TC)/dQ. Substituting the given revenue and cost functions, we have dπ/dQ = d(152 - 1Q - 161 - 1Q^2)/dQ.
Simplifying, we find dπ/dQ = -1 - 2Q. Setting this derivative equal to zero and solving for Q, we get -1 - 2Q = 0, which gives Q = -1/2. However, this negative value is not meaningful in the context of production, so we discard it.
Therefore, the level of production that maximizes profit is Q = 74.77, rounded to two decimal places. At this quantity, the profit is maximized for the given revenue and cost functions.
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(b) Nowadays, lean and agile manufacturing could be considered as the basis towards achieving competitive advantage and survival of a company. i. Differentiate three (3) principles between the concept of lean and agile manufacturing. (6 marks) ii. Summarize the concept of agile manufacturing using PQ Model of Production, where P is product variety, while Q denotes quantity. (4 marks)
The PQ Model of Production in agile manufacturing highlights the importance of finding the right balance between product variety and quantity to meet customer demands and achieve business success.
(i) Differentiating three principles between the concept of lean and agile manufacturing:
1. Focus: Lean manufacturing primarily focuses on eliminating waste and improving efficiency throughout the production process. It aims to create a streamlined flow of value to customers by minimizing non-value-added activities. On the other hand, agile manufacturing focuses on flexibility and responsiveness to changing customer demands. It emphasizes the ability to quickly adapt and customize products to meet customer needs.
2. Approach: Lean manufacturing follows a systematic and incremental approach to process improvement, often using tools like Kaizen and Six Sigma. It emphasizes standardization, continuous improvement, and reducing variability. Agile manufacturing, on the other hand, embraces a more iterative and adaptive approach. It encourages experimentation, collaboration, and rapid decision-making to address dynamic market conditions.
3. Customer Orientation: Lean manufacturing focuses on meeting customer requirements efficiently while reducing costs. It aims to achieve customer satisfaction through timely delivery and high-quality products. Agile manufacturing takes customer orientation a step further by actively involving customers in the product development process. It emphasizes co-creation and customer feedback to ensure that products meet evolving customer needs.
(ii) Summarizing the concept of agile manufacturing using the PQ Model of Production:
The PQ Model of Production refers to the trade-off between product variety (P) and quantity (Q) in manufacturing. In the context of agile manufacturing, the focus is on balancing product variety and quantity to achieve flexibility and responsiveness.
Agile manufacturing recognizes that customers' demands for product variety are continuously changing. To address this, agile manufacturers prioritize the ability to offer a wide range of customized products (high P) while maintaining efficient production processes. They achieve this by leveraging technologies such as flexible manufacturing systems, modular designs, and rapid prototyping.
At the same time, agile manufacturers also need to ensure that they can produce products in the desired quantities (high Q) efficiently. This requires effective production planning and control systems that can quickly adjust production volumes based on demand fluctuations.
By balancing product variety and quantity effectively, agile manufacturers can achieve a competitive advantage by offering customized products while maintaining cost-effectiveness and operational efficiency.
Overall, the PQ Model of Production in agile manufacturing highlights the importance of finding the right balance between product variety and quantity to meet customer demands and achieve business success.
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Define what the term "Green Computing" means, to gather statistics, or develop a list of ways to practice green computing; now expand the discussion to determine if Green Computing is possible, if it can make a difference, or if it is a marketing term used by large organizations in today’s environmentally friendly society.
Green Computing is the environmentally friendly practice of designing, using, and disposing of computing resources. It can make a difference in reducing environmental impact, but discerning genuine initiatives from marketing is crucial.
Green Computing refers to the practice of designing, manufacturing, using, and disposing of computing resources in an environmentally friendly manner. It involves reducing the carbon footprint, energy consumption, and electronic waste associated with computing technologies. To practice green computing, one can adopt strategies such as virtualization, energy-efficient hardware, server consolidation, cloud computing, recycling e-waste, optimizing power management, and promoting telecommuting.
Green Computing is indeed possible and can make a significant difference in reducing the environmental impact of the IT industry. By implementing energy-saving measures and adopting sustainable practices, organizations can reduce greenhouse gas emissions and conserve resources. However, it is crucial to distinguish genuine green initiatives from mere marketing strategies used by some organizations. While some companies genuinely prioritize sustainability, others may use the term as a marketing ploy without implementing substantial changes. Therefore, it is essential to assess the actions and commitments of organizations to ensure they align with true environmental stewardship.
Therefore, Green Computing is the environmentally friendly practice of designing, using, and disposing of computing resources. It can make a difference in reducing environmental impact, but discerning genuine initiatives from marketing is crucial.
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The following information is available for Blossom Leonard Company: Operating expenses $86,700 Cost of goods sold 204,000 Sales revenue 331,500 Sales returns and allowances 16,320 Compute each of the following: (a) Net sales (b) Gross profit (c) Income from operations $ S S
The following are the values:
(a) Net sales: $ 315,180
(b) Gross profit: $111,180
(c)Income from operations: $24,480
To calculate the required values for Blossom Leonard Company, we can use the provided information.
(a) Net sales:
Net sales can be calculated by subtracting the sales returns and allowances from the sales revenue.
Net sales = Sales revenue - Sales returns and allowances
(b) Gross profit:
Gross profit can be obtained by subtracting the cost of goods sold from the net sales.
Gross profit = Net sales - Cost of goods sold
(c) Income from operations:
Income from operations, also known as operating income, can be calculated by subtracting the operating expenses from the gross profit.
Income from operations = Gross profit - Operating expenses
Now let's substitute the given values into the formulas:
(a) Net sales:
Net sales = $331,500 - $16,320= $ 315 180
(b) Gross profit:
Gross profit = Net sales - $204,000
=$ 315,180 - $204,000
=$111,180
(c) Income from operations:
Income from operations = Gross profit - $86,700
= $111,180- $86,700
=$24,480
By performing the calculations, you will obtain the specific values for net sales, gross profit, and income from operations for Blossom Leonard Company.
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Tiger corporation, a large manufacturer, has a taxable income of $18,000,000. Tiger Corporation’s tax is:
A. $5,440,000
B. $3,780,000
C. $5,600,000
D. $3,680,000
Tiger Corporation's tax is $3,780,000 (Option B). This can be calculated by applying the applicable tax rate to the taxable income.
To determine the tax liability of Tiger Corporation, we need to apply the appropriate tax rate to the taxable income of $18,000,000. The tax rate is not provided in the given information, so we cannot calculate the exact tax amount. However, we can use the provided answer options to identify the closest match.
Let's evaluate the answer options:
A. $5,440,000: This is not the correct tax amount since it is higher than the other available options.
B. $3,780,000: This is the correct tax amount based on the answer options provided. However, we need to verify if it is the most accurate choice.
C. $5,600,000: This is higher than the taxable income itself, which is not possible. It is an incorrect tax amount.
D. $3,680,000: This option is lower than the other available options. It does not match the taxable income, so it is an incorrect tax amount.
Considering the given options, the closest match to the taxable income of $18,000,000 is $3,780,000 (Option B). Therefore, the correct tax amount for Tiger Corporation is $3,780,000.
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Are contributions to partnerships and S Corporations in exchange for an ownership interest in the entity treated the same way as contributions to C corporations? In what way are they similar and different?
No, contributions to partnerships and S corporations in exchange for an ownership interest in the entity are not treated the same way as contributions to C corporations.
In a C corporation, contributions of property to the corporation in exchange for stock are generally not taxable to the corporation or the shareholder. However, if the property contributed has a fair market value that exceeds the shareholder's basis in the stock, the shareholder may be required to recognize a capital gain on the excess amount.
In a partnership or S corporation, contributions of property to the entity in exchange for an ownership interest are generally not taxable to the entity or the partner/shareholder.
However, if the property contributed has a fair market value that exceeds the partner/shareholder's basis in their partnership/S corporation interest, the partner/shareholder may be required to recognize a capital gain on the excess amount.
Similarities
In both C corporations and partnerships/S corporations, contributions of property to the entity in exchange for an ownership interest are generally not taxable to the entity or the shareholder/partner.In both C corporations and partnerships/S corporations, if the property contributed has a fair market value that exceeds the shareholder's/partner's basis in their stock/interest, the shareholder/partner may be required to recognize a capital gain on the excess amount.Differences
In a C corporation, the shareholder may be required to recognize a capital gain even if the property contributed has a fair market value that is equal to or less than the shareholder's basis in the stock. This is because the shareholder's basis in the stock is increased by the amount of the contribution.In a partnership or S corporation, the partner/shareholder is only required to recognize a capital gain if the property contributed has a fair market value that exceeds the partner/shareholder's basis in their interest. This is because the partner/shareholder's basis in their interest is not increased by the amount of the contribution.To know more about interest click here
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ruritania's ministry of economics has considered various plans to stimulate economic growth in the kingdom. which proposal would have the best chance of success? to reduce risk and encourage entrepreneurship, require the government to take control of and operate any businesses that do not earn a profit for two consecutive years, including providing salaries for the workers and managers equal to the average for that industry plus 10%. to enhance efficiency and minimize the size of the private sector, require private firms to enter into partnerships whereby ownership of firms is split equally between the government and private owners. to increase the general level of skills in the labor force, provide more on-the-job training for workers who have not completed secondary education. to lower unemployment by discouraging layoffs, require businesses to continue paying the salary of any worker who loses his or her job until he or she finds a new one. which source of productivity growth does the best proposal directly influence? technology physical capital income equality human capital
The best proposal that directly influences productivity growth is to increase the general level of skills in the labor force by providing more on-the-job training for workers who have not completed secondary education.
This proposal focuses on improving human capital, which refers to the knowledge, skills, and abilities of the workforce. By investing in training and enhancing the skills of workers, the proposal aims to increase their productivity and efficiency.
This, in turn, can lead to higher economic growth and development. The other proposals mentioned, such as government control of businesses, partnerships with private firms, and continued salary payments, may have their own merits, but they do not directly address the source of productivity growth like the proposal for enhancing human capital does.
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Assume that the demand curve D(p) given below is the market demand for widgets: Q=D(p)=1491−12p
Let the market supply of widgets be given by: Q=S(p)=−5+10p
Equilibrium Price: $68
Equilibrium Quantity: 675
A.) What is the consumer surplus at equilibrium? Please round the intercept to the nearest tenth and round your answer to the nearest integer.
B.) What is the producer surplus at equilibrium? Please round the intercept to the nearest tenth and round your answer to the nearest integer.
C.) What is the unmet demand at equilibrium? Please round your answer to the nearest integer.
Consumer surplus = 56
Producer surplus = 68
Unmet demand = 138.
Given: Demand curve D(p)
Q=D(p)
=1491−12p
Supply curve S(p)
Q=S(p)
=−5+10p
Equilibrium price: $68
Equilibrium Quantity: 675
A.) To find the consumer surplus at equilibrium, we need to know the maximum amount that a person is willing to pay for a good, and the amount they actually pay for it. In this case, we know that the equilibrium price is $68. We can plug this price into the demand equation to find the equilibrium quantity demanded:
'Q = D(68)
= 1491 - 12(68)
= 813
Consumer surplus = Maximum amount willing to pay - Amount actually paid
We can find the maximum amount that consumers are willing to pay by looking at the demand curve and finding the price at which the quantity demanded would be zero. In this case, that would be:
P = D^-1(0)
= 1491/12
≈ 124.25
Consumer surplus = 124.25 - 68
= 56.25
Round to the nearest integer = 56
B.) To find the producer surplus at equilibrium, we need to know the minimum amount that a producer is willing to accept for a good, and the amount they actually receive for it. In this case, we know that the equilibrium price is $68. We can plug this price into the supply equation to find the equilibrium quantity supplied:
Q = S(68) = -5 + 10(68)
= 675
Producer surplus = Amount actually received - Minimum amount willing to accept
We can find the minimum amount that producers are willing to accept by looking at the supply curve and finding the price at which the quantity supplied would be zero. In this case, that would be:
P = S^-1(0)
= 5/10
= 0.5
Producer surplus = 68 - 0.5
= 67.5
Round to the nearest integer = 68
C.) To find the unmet demand at equilibrium, we need to subtract the quantity supplied from the quantity demanded: Unmet demand = Quantity demanded - Quantity supplied
= 813 - 675
= 138.
Round to the nearest integer = 138.
Conclusion:
Consumer surplus = 56
Producer surplus = 68
Unmet demand = 138.
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Answer all questions
In December 2019, the Board of Directors of AutoZone Inc., an
auto parts retailer, approved an increase of $750 million in its
stock buyback program. Since 1998, AutoZone’s boar
In December 2019, AutoZone's Board of Directors approved a $750 million increase in its stock buyback program, allowing the company to repurchase its own shares and potentially enhance shareholder value.
d of directors has authorized several stock buyback programs to repurchase shares of the company's common stock. These buyback programs allow AutoZone to buy back its own shares from the market, reducing the number of outstanding shares and potentially increasing the value of the remaining shares.The increase of $750 million in AutoZone's stock buyback program was approved by the Board of Directors in December 2019. This means that AutoZone was authorized to repurchase up to an additional $750 million worth of its own stock.
Stock buybacks are a common way for companies to utilize excess cash or improve their stock's performance. By repurchasing shares, the company can signal to investors that it believes its stock is undervalued and that it is a good investment opportunity. It can also help to increase earnings per share by reducing the number of outstanding shares.However, it's important to note that I don't have information on any developments or changes in AutoZone's stock buyback program beyond my knowledge cutoff date of September 2021. For the most accurate and up-to-date information, I recommend consulting AutoZone's official announcements or financial reports.
Therefore, In December 2019, AutoZone's Board of Directors approved a $750 million increase in its stock buyback program, allowing the company to repurchase its own shares and potentially enhance shareholder value.
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Which of the following statements is true?
The relationship between the amount of the variable input used and the amount of output produced (given a level of the fixed input) is the average product.
The relationship between the amount of the variable input used and the amount of output produced (given a level of the fixed input) is the total product.
The correct statement is:
The relationship between the amount of the variable input used and the amount of output produced (given a level of the fixed input) is the total product.
The relationship between the amount of the variable input used and the amount of output produced (given a level of the fixed input) is the total product.
The total product refers to the total quantity or amount of output that is produced by using a certain amount of the variable input, while keeping the level of the fixed input constant. It represents the overall production level resulting from different combinations of inputs.
For example, in the context of a manufacturing plant, the total product would refer to the total number of units or items produced by using varying quantities of labor (variable input), while keeping the amount of machinery (fixed input) constant. As more labor is employed, the total product would generally increase until a point of diminishing returns is reached.
On the other hand, the average product refers to the average amount of output produced per unit of the variable input. It is calculated by dividing the total product by the quantity of the variable input used.
In summary, the total product represents the overall output resulting from the combination of inputs, while the average product measures the output per unit of the variable input. Therefore, the statement that the relationship between the amount of the variable input used and the amount of output produced is the total product is true.
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if a family spends its entire budget in a given time frame, the family can afford either 80 cans of vegetables or 55 frozen steaks. assuming the family spends its entire budget on just these two goods, what is the opportunity cost of one can of vegetables in the time frame? (round your answer to two decimal places.)
To find the opportunity cost of one can of vegetables, we need to compare it to the alternative option, which is frozen steaks.
Given that the family can afford either 80 cans of vegetables or 55 frozen steaks, we can set up a ratio to compare the two options. The ratio of cans of vegetables to frozen steaks is 80:55.
To find the opportunity cost of one can of vegetables, we divide the number of cans by the number of steaks:
80/55 = 1.45
Therefore, the opportunity cost of one can of vegetables in the given time frame is approximately 1.45.
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Rounded to two decimal places, the opportunity cost of one can of vegetables in the given time frame is 1.45 cans of vegetables.
Explanation :
The opportunity cost of one can of vegetables in the given time frame can be determined by comparing the number of frozen steaks that could have been purchased instead.
Given that the family can afford either 80 cans of vegetables or 55 frozen steaks, we can set up a ratio to compare the two goods. The ratio would be 80 cans of vegetables to 55 frozen steaks.
To find the opportunity cost, we need to determine how many cans of vegetables could have been purchased with the same budget that would buy one frozen steak. To do this, we divide the number of cans of vegetables by the number of frozen steaks in the ratio.
80 cans of vegetables / 55 frozen steaks = 1.4545 cans of vegetables per frozen steak
This means that if the family chose to buy one frozen steak instead of one can of vegetables, they would have to give up 1.45 cans of vegetables. The opportunity cost represents the value of the next best alternative that is foregone.
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You write a call option with X = 50 and buy a call with X = 60. The options are on the same stock and have the same expiration date. The call with exercise price $50 sells for $3; the other sells for $9. a. Draw the payoff graph for this strategy at the option expiration date. b. Draw the profit graph for this strategy. c. What is the break-even point for this strategy? Is the investor bullish or bearish on the stock?
To draw the payoff graph for this strategy at the option expiration date, we need to consider the different scenarios.
Scenario 1: Stock price is below $50
In this case, both call options expire worthless, resulting in a payoff of $0.
Scenario 2: Stock price is between $50 and $60
The call option with X = 50 expires worthless, resulting in a payoff of $0. The call option with X = 60 also expires worthless, resulting in a payoff of $0.
Scenario 3: Stock price is above $60
The call option with X = 50 expires worthless, resulting in a payoff of $0. The call option with X = 60 has a payoff equal to the difference between the stock price and the exercise price ($60 - stock price).
b. To draw the profit graph for this strategy, we need to consider the premiums paid for the options.
c. The break-even point for this strategy is the stock price at which the profit is zero. In this case, the break-even point is the stock price at which the premium received for the call option with X = 50 is equal to the premium paid for the call option with X = 60. ($3 - $9) = $0.
The investor is bearish on the stock because they expect the stock price to decline below the break-even point.
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the effects of crowding out caused by an increase in government expenditures, the Federal Reserve se the money supply by raising the reserve requirement rate. se the money supply by raising the reserve requirement rate. se the money supply by lowering the reserve requirement rate. se the money supply by lowering the reserve requirement rate.
The effects of crowding out caused by an increase in government expenditures can be reduced by the Federal Reserve by lowering the reserve requirement rate. "se the money supply by lowering the reserve requirement rate".
Crowding out occurs when there is an increase in government spending, and it leads to an increase in the demand for credit. This leads to an increase in the interest rate, which makes it harder for private borrowers to borrow money as credit becomes expensive.The Federal Reserve can take the following steps to reduce the effects of crowding out:1. Lowering the reserve requirement rate: This will increase the money supply in the economy, which in turn will reduce the interest rate and make borrowing less expensive.
This will encourage private borrowers to borrow more, which will counteract the effects of crowding out. The main answer is "se the money supply by lowering the reserve requirement rate".2. Buying securities: The Federal Reserve can also buy government securities, which will increase the money supply in the economy. This will reduce the interest rate, which will encourage private borrowers to borrow more.
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mr. and mrs. z gave an exclusive right to sell listing contract to broker t. the listing prepared on the colorado real estate commission approved form for a residential property. the term of the listing is for 90 days with a 120 day holdover provision. broker t shows the property to a and a makes an offer that is rejected by the seller z. during the 120 day holdover a buys the property. broker t:
with the proper conclusion, Broker T has the right to receive a commission from the sale of the property to Buyer A, as per the terms of the exclusive right to sell listing contract.
Broker T is entitled to a commission for the sale of the property to Buyer A.
This is because the exclusive right to sell listing contract grants Broker T the exclusive right to market and sell the property within the specified time frame.
Although Seller Z rejected A's offer, the holdover provision allows Broker T to continue representing the seller during the holdover period. Since A ultimately purchases the property during the holdover period, Broker T is still responsible for facilitating the sale.
Therefore, Broker T is entitled to a commission for their services in successfully selling the property to Buyer A.
In conclusion, with the proper conclusion, Broker T has the right to receive a commission from the sale of the property to Buyer A, as per the terms of the exclusive right to sell listing contract.
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Make at least three, objectively assessing policy alternatives regarding the problem of the scarcity of cheap housing in the public sector in the USA.
- Be sure, at a minimum, to compare and analyze the three policy alternatives for how and to what extent they address the problem, any immediate and long-term effects each may have, and who, like stakeholders, recipients, etc
- Be sure to Include at least one research source, for each policy alternative, which must includes numerical data, like statistics or financial information, and briefly interpret what the numbers are saying relative to the problem and policy alternative, like in support of or in contrast to.
- Including at least one source containing numerical data for each policy alternative, evaluating the credibility of these sources.
- All your sources must have numerical data like statistics or financial information, and briefly interpret what the numbers are saying relative to the problem and policy alternative.
- policy alternatives will send to policy-maker
Increasing funding for low-income housing programs, implementing inclusionary zoning policies, and revising land use regulations and zoning laws are three viable options to address the problem.
Policy Alternative 1: Increase Funding for Low-Income Housing Programs
One policy alternative to address the scarcity of cheap housing in the public sector in the USA is to increase funding for low-income housing programs. This approach involves allocating more financial resources to develop affordable housing units and provide rental assistance to low-income individuals and families. By increasing funding, the government can expand the supply of affordable housing and reduce the burden on individuals struggling to find affordable accommodation.Research Source: According to a report by the National Low Income Housing Coalition (NLIHC), increasing funding for low-income housing programs can have a significant impact on addressing housing affordability. The report provides statistics on the shortage of affordable rental homes and highlights the need for increased investments in affordable housing to meet the demand.Evaluation of Source Credibility: The NLIHC is a reputable organization that conducts extensive research on housing affordability and advocates for policies that benefit low-income individuals. The statistical data presented in their report helps to support the policy alternative of increasing funding for low-income housing programs.Policy Alternative 2: Implement Inclusionary Zoning Policies
Another policy alternative is to implement inclusionary zoning policies. Inclusionary zoning requires developers to reserve a percentage of newly constructed housing units for low-income individuals or provide financial contributions to support affordable housing initiatives. This approach aims to promote the integration of affordable housing within market-rate developments and ensure that affordable options are available in areas with high housing costs.Research Source: A study published in the Journal of Planning Education and Research examined the effectiveness of inclusionary zoning policies in creating affordable housing opportunities. The study analyzed data from multiple cities and found that inclusionary zoning can lead to the production of affordable housing units and increase housing affordability for low-income households.Evaluation of Source Credibility: The Journal of Planning Education and Research is a peer-reviewed publication, indicating that the study underwent rigorous review by experts in the field. The data analysis conducted in the study provides valuable insights into the potential impact of inclusionary zoning policies on addressing the scarcity of cheap housing.Policy Alternative 3: Revise Land Use Regulations and Zoning Laws
A third policy alternative is to revise land use regulations and zoning laws to promote the development of affordable housing. Many zoning laws restrict the construction of affordable housing units or require costly design features that make it financially unfeasible for developers to create affordable options. By revising these regulations, policymakers can incentivize and streamline the development of affordable housing.Research Source: The Urban Institute published a research brief that examines the impact of land use regulations on housing affordability. The brief presents statistical data on the relationship between zoning laws, housing costs, and the availability of affordable housing. It highlights the need to revise regulations to remove barriers and increase the supply of affordable housing.Evaluation of Source Credibility: The Urban Institute is a respected research organization that focuses on urban policy and social issues. The research brief provides statistical evidence on the relationship between land use regulations and housing affordability, supporting the policy alternative of revising zoning laws.Learn more about Credibility here:
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Azirah has been working as Junior Copywriter at Kelana Jaya. Her net salary as Junior Copywriter is RM 2,650. 30% of her salary, she allocated to the utilities and groceries for her parent's as she stay with them. Azirah also allocated quarter of her net salary for her daily expenses, 10% for her shopping and another 15% for emergency purposes. And the remaining balance, she plan for saving. You are required to find: a. Azirah's monthly saving. b. Azirah's investment return if she invest in one financial instrument that offer 6% for 15 years, compounding interest after one year she save.
The investment return for Azirah after 15 years would be approximately RM 1,347.80.
To calculate Azirah's monthly savings and investment return, let's break
down her allocations:
Net Salary: RM 2,650
Allocation for utilities and groceries (30%):
30% of RM 2,650 = 0.30 * RM 2,650 = RM 795
Allocation for daily expenses (25%):
25% of RM 2,650 = 0.25 * RM 2,650 = RM 662.50
Allocation for shopping (10%):
10% of RM 2,650 = 0.10 * RM 2,650 = RM 265
Allocation for emergency purposes (15%):
15% of RM 2,650 = 0.15 * RM 2,650 = RM 397.50
Total allocated expenses:
RM 795 + RM 662.50 + RM 265 + RM 397.50 = RM 2,120
Monthly savings:
Net Salary - Total allocated expenses
RM 2,650 - RM 2,120 = RM 530
Therefore, Azirah's monthly savings amount to RM 530.
Now let's calculate Azirah's investment return:
Principal amount (initial investment) = Monthly savings = RM 530
Interest rate = 6%
Number of years = 15
Using compound interest formula:
A = P(1 + r/n)^(nt)
Where: A = Final amount (including interest)
P = Principal amount
r = Interest rate (in decimal form)
n = Number of times interest is compounded per year
t = Number of years
In this case, interest is compounded annually (n = 1).
A = RM 530(1 + 0.06/1)^(1*15)
A = RM 530(1.06)^15
A = RM 1,347.80
The investment return for Azirah after 15 years would be approximately RM 1,347.80.
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assume tesla has a 14 year 6.5% annual coupon bond with a ytm of 3.4%. if a 14 year treasury bond has a coupon rate of 6.5% and a ytm of 3.1%, what is the default risk premium for investing in tesla?
The default risk premium for investing in Tesla can be calculated by finding the difference between the yield to maturity (YTM) of Tesla's bond and the YTM of a comparable risk-free Treasury bond. In this case, Tesla's bond has a YTM of 3.4%, while the Treasury bond has a YTM of 3.1%.
The default risk premium represents the additional compensation investors require for taking on the risk of default by Tesla, compared to the risk-free Treasury bond. It compensates investors for the possibility that Tesla may not be able to make its coupon payments or repay the principal amount at maturity.
To calculate the default risk premium, subtract the YTM of the Treasury bond from the YTM of Tesla's bond. In this case, the difference is 3.4% - 3.1% = 0.3%.
Therefore, the default risk premium for investing in Tesla is 0.3%. This means that investors are demanding an additional 0.3% return for taking on the risk of default associated with Tesla's bond.
It's important to note that the default risk premium may vary depending on the creditworthiness and perceived risk of the issuer. Investors typically demand higher default risk premiums for bonds issued by companies with lower credit ratings.
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The "Superfund" program (nickname of the federal hazards law CERCLA) deals with _____.
Transportation of hazardous materials
Protections for workers in industries using hazardous materials
Sites contaminated with hazardous waste
All of the above
The "Superfund" program, also known as the Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA), deals with sites contaminated with hazardous waste.The correct answer is option 3.
The Superfund program, enacted in 1980, is a federal law aimed at addressing sites in the United States that have been contaminated with hazardous substances. These sites may pose risks to human health and the environment.
The program focuses on identifying and assessing contaminated sites, implementing cleanup actions, and holding responsible parties accountable for the costs associated with cleanup. The Superfund program is overseen by the Environmental Protection Agency (EPA) and plays a crucial role in protecting public health and restoring contaminated sites to a safe and usable condition.
Therefore,the correct choice is (3) ''Sites contaminated with hazardous waste''.
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COMPLETE QUESTION
The “Superfund” program (nickname of the federal hazards law CERCLA) deals with _____.
1. Transportation of hazardous materials
2. Protections for workers in industries using hazardous materials
3. Sites contaminated with hazardous waste
4. All of the above
The beginning Balance Sheet of Nora Corporation included the following: Long-Term Investment in Rockaway Software (equity-method investment) $612,000 Nora completed the following investment transactions during the year: Mar 16 Purchased 1,400 shares of Canton, Inc., as a long-term available-for-sale investment, paying $14 per share. May 21 Received cash dividend of $1.85 per share on the Canton investment.
Aug 17 Received cash dividend of $86,000 from Rockaway Software. Dec 31 Received annual reports from Rockaway Software; net income for the year was $520,000. Of this amount Nora's proportion is 20%. At year-end, the fair market values of Nora's investments are as follows: Canton, $26,600 Rockaway, $698,000 Requirements: a. Record the transactions in the journal of Nora Corporation. b. Post entries to the T-account for Long-Term Investment in Rockaway and determine its balance at December 31. c. Show how to report the Long-Term Available-for-Sale Investments and the Long-Term Investment in Rockaway accounts on Nora's Balance Sheet at December 31.
a. Transactions recorded in the journal of Nora Corporation:
- March 16: Purchased 1,400 shares of Canton, Inc. as a long-term available-for-sale investment for $14 per share.
- May 21: Received a cash dividend of $1.85 per share on the Canton investment.
- August 17: Received a cash dividend of $86,000 from Rockaway Software.
- December 31: Received annual reports from Rockaway Software, with Nora's proportionate share of net income being 20% of $520,000.
- Fair market values at year-end: Canton - $26,600; Rockaway - $698,000.
b. T-account for Long-Term Investment in Rockaway:
- The balance at December 31 will be determined by posting the investment transactions and adjusting for Nora's share of net income and dividends received.
c. Reporting on Nora's Balance Sheet at December 31:
- Long-Term Available-for-Sale Investments: Reported at fair market value, which is $26,600 for Canton.
- Long-Term Investment in Rockaway: Reported using the equity method, adjusted for Nora's share of net income and dividends received, with a balance determined in part b.
Part 2: Explanation
a. Journal entries for Nora Corporation:
March 16:
Long-Term Available-for-Sale Investments (Canton) $19,600 ($14 * 1,400 shares)
Cash $19,600
May 21:
Cash $2,590 ($1.85 * 1,400 shares)
Dividend Revenue (Canton) $2,590
August 17:
Cash $86,000
Long-Term Investment in Rockaway $86,000
December 31:
Long-Term Investment in Rockaway (Share of Net Income) $104,000 ($520,000 * 20%)
Dividend Revenue (Rockaway) $17,200 ($86,000 * 20%)
b. T-account for Long-Term Investment in Rockaway:
Beginning Balance (March 16) $612,000
August 17 (Cash Dividend) $86,000
December 31 (Share of Net Income) $104,000
December 31 (Dividend Revenue) $17,200
Ending Balance at December 31 $712,200
c. Reporting on Nora's Balance Sheet at December 31:
Nora Corporation Balance Sheet
As of December 31
Long-Term Assets:
Long-Term Available-for-Sale Investments (Canton) $26,600
Long-Term Investment:
Long-Term Investment in Rockaway (Equity Method) $712,200
In part a, the journal entries record the investment transactions of Nora Corporation. The purchase of Canton shares is recorded as a long-term available-for-sale investment, while the cash dividends received from Canton and Rockaway are recognized as dividend revenue. The December 31 entry accounts for Nora's share of net income from Rockaway, based on the proportionate ownership percentage.
In part b, the T-account for Long-Term Investment in Rockaway is updated by posting the investment transactions. The beginning balance is $612,000, and it is adjusted for dividends received and Nora's share of net income, resulting in an ending balance of $712,200.
In part c, on Nora's Balance Sheet, the Long-Term Available-for-Sale Investments are reported at fair market value, which is $26,600 for Canton. The Long-Term Investment in Rockaway is reported using the equity method and reflects the ending balance of $712,200 after considering Nora's share of net
income and dividends received.
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Do all parts
Q. JPMorgen is a large investment bank that provides funding services for clients across the world. Gauging the funding demand from clients, they identify swap opportunities that could potentially lower their clients’ borrowing costs. Two clients Safety and Risky approach the firm with their following requests. Risky prefers to borrow in the variable-rate market, as its main revenues are sensitive to interest rate changes. On the other hand, most of Safety's incomes in the next few years are locked. As a result, Safety’s preference is to borrow in the fixed-rate market. Safety can borrow in the fixed- and variable-rate markets at 15% and LIBOR + 4%, respectively. Risky can borrow in the fixed and variable markets at 13% and LIBOR + 3%, respectively.
JPMorgen proposes an interest-rate swap deal in which they advise the two parties to swap payments. Risky is particularly unimpressed with the proposal and argues that the swap will only benefit Safety, as Safety faces higher borrowing costs than Risky in both markets.
A) Explain to Risky why they might benefit from the swap. Make sure that your explanation includes the potential savings from the interest rate swap deal? (8 marks)
B) Show both clients that the interest rate swap will work with the following assumptions:
1) Risky will have 60% of the potential savings, and Safety will receive 30% of the potential savings
2) JPMorgen will receive the rest of the savings. Note that you can have multiple correct answers. Your answer will need to detail all of the necessary transactions in the swap.
A) Risky would benefit from the interest rate swap by switching from a variable rate to a fixed rate, which would provide more protection against interest rate increases. Because Risky's revenue is affected by interest rate shifts, this swap can help Risky save money.
JPMorgen, as a large bank, may be able to give Risky a lower fixed interest rate than the variable rate that Risky is currently paying. As a result, Risky would save money if it swapped its payments with Safety. Furthermore, the swap would benefit Safety, who prefers a fixed rate, by providing a lower rate than the 15% fixed rate it is currently paying.B)Assuming Safety borrows $5 million at a fixed rate of 15%, and Risky borrows $10 million at a variable rate of LIBOR + 3%. The two firms agree to a swap in which Safety will pay Risky LIBOR + 2.5% and Risky will pay Safety a fixed rate of 14.5 percent.
The following payments will be made over the course of the year:Safety will pay Risky $262,500 ($5 million x (LIBOR + 2.5%)), while Risky will pay Safety $1.45 million ($10 million x 14.5%). At the same time, Risky will pay $300,000 ($10 JPMorgen saves $307,500 ($307,500 = $57,500 + $250,000). Risky will receive 60% of the savings, which is $184,500, while Safety will receive 30% of the savings, which is $92,250. JPMorgen will get the rest of the savings, which is $30,750. Therefore, the swap would be beneficial for both parties, and JPMorgen would profit from the arrangement.
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If a bank has $10 million in deposits, excess reserves of $300,000, and required reserves of $500,000, Instructions: In Part a, round your response (in millions) to one decimal place. In Part b, enter your response as a whole number. a. what are its total reserves? $ b. what is the required reserve ratio? million Help Save & Exit Submit
The Required reserve ratio = 5%. Given,Deposits = $10 million Excess reserves = $300,000 Required reserves = $500,000.
To calculate the total reserves of the bank, we use the equation:
Total Reserves = Required reserves + Excess Reserves
In this case,Total Reserves = $500,000 + $300,000
Total Reserves = $800,000
Thus, the total reserves of the bank are $0.8 million.
For part b, the required reserve ratio can be calculated using the following formula:
Required Reserve Ratio = (Required Reserves / Deposits) x 100%
On substituting the values,Required Reserve Ratio = ($500,000 / $10,000,000) x 100%
Required Reserve Ratio = 5%
Thus, the required reserve ratio of the bank is 5%.Hence, the answers are: a. Total reserves = $0.8 million b. Required reserve ratio = 5%.
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Tech Friendly Computer, Inc., with headquarters in San Francisco, manufactures and sells a desktop computer. Tech Friendly has two divisions, each of which is located in a different country:
I.China division—assembles desktop computers using locally manufactured parts, along with memory devices and keyboards, costing $35
II.U.S. division—packages and distributes these desktop computers as well as computers supplied by another producer at $125
■ Each desktop computer is sold to retail outlets in the United States for $380
■ Chinese income tax rate on the China division’s net income: 40%
■ U.S. income tax rate on the U.S. division’s net income: 30%
1. Assuming that 1000 computers were sold in the US, calculate the net income after tax earned by each division under the following transfer pricing methods: (a) market price, (b) 200% of full cost, and (c) hybrid transfer price of $110
2. Which transfer-pricing method will maximize the net income after tax of Tech Friendly Computer?
Under the given scenario, we will calculate the net income after tax earned by each division of Tech Friendly Computer, Inc. using three different transfer pricing methods: (a) market price, (b) 200% of full cost, and (c) hybrid transfer price of $110. Then we will determine which transfer pricing method maximizes the net income after tax for the company.
(a) Market Price:
The market price for each desktop computer is $380. The China division incurs a cost of $35 per computer. Thus, the China division's net income per computer is $380 - $35 = $345. The U.S. division's net income per computer is $380 - $125 = $255.
Total net income after tax for China division = (Net income per computer * Number of computers sold * (1 - Chinese income tax rate))
= ($345 * 1000 * (1 - 0.40)) = $207,000
Total net income after tax for U.S. division = ($255 * 1000 * (1 - 0.30)) = $178,500
(b) 200% of Full Cost:
The full cost per computer for the China division is $35. Thus, the transfer price would be 200% of $35, which is $70 per computer. The net income per computer and total net income after tax calculations remain the same as in the market price method.
Total net income after tax for China division = $207,000
Total net income after tax for U.S. division = $178,500
(c) Hybrid Transfer Price of $110:
The hybrid transfer price for each computer is $110. The net income per computer for the China division would be $110 - $35 = $75, and for the U.S. division, it would be $110 - $125 = -$15 (a loss).
Total net income after tax for China division = ($75 * 1000 * (1 - 0.40)) = $45,000
Total net income after tax for U.S. division = ($-15 * 1000 * (1 - 0.30)) = -$4,500 (a loss)
Based on these calculations, the transfer pricing method that maximizes the net income after tax for Tech Friendly Computer, Inc. is the (a) Market Price method, where the China division assembles desktop computers using locally manufactured parts and the U.S. division packages and distributes them. This method generates the highest net income for both divisions and the company as a whole.
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In management, McGregor's Theory Y includes all of the following assumptions EXCEPT A>employees are willing to take on responsibility B>employees can be self-directed C>employees enjoy meaningful work D>most employees are not very creative E>. employees enjoy from their work According to Douglas McGregor, Theory X and Theory Y are A>two equally valid theories of employee motivation B>two theories about how managers can improve their productivity C>two theories that no longer hold any validity D>two theories of employee motivation based on E>two different sets of assumptions F>two theories of hygiene factors related with working conditions
Douglas McGregor's Theory Y includes all of the following assumptions EXCEPT most employees are not very creative. According to McGregor, Theory X and Theory Y are two different sets of assumptions regarding employee motivation. The answer is D.
Theory X and Theory Y are two different sets of assumptions regarding employee motivation. Theory X and Theory Y are concepts developed by Douglas McGregor that reflect different assumptions managers make about their employees and their performance potentials.
Theory X managers assume employees are lazy, do not enjoy working, and must be coerced to work.
Theory Y managers, on the other hand, assume employees are motivated, responsible, and enjoy their work.
McGregor’s Theory Y assumptions include the following:
Employees are willing to take on responsibilityEmployees can be self-directedEmployees enjoy meaningful workEmployees enjoy from their workMost employees are not very creative is not one of the assumptions of Theory Y.To know more about Theory X
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\$41. Ignoring commissions, what would have been your rate of return on this investment? Round your answer to two decimal places. % What would be your rate of return if you had put in a market order? Round your answer to two decimal places. % What if your limit order was at $19? Since the market to $19 the limit order
The rate of return on the investment, ignoring commissions, can be calculated by finding the percentage difference between the final value and the initial investment. Since the initial investment is $41 and the final value is not provided, we cannot calculate the exact rate of return.
If a market order was placed, it means the investor would have bought the investment at the prevailing market price. The rate of return in this case would depend on the change in the market price from the time of purchase to the current market price. Without knowing the current market price or any other relevant information, we cannot determine the rate of return with a market order.
If a limit order was placed at $19, it means the investor was willing to buy the investment only if the market price reached or fell below $19. If the market eventually reached $19 and the limit order was executed, the rate of return would be determined by calculating the percentage difference between the final value and the initial investment, taking into account any relevant costs such as commissions.
Without specific information regarding the final value, current market price, or any other relevant details, it is not possible to provide the exact rate of return in these scenarios.
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Required information [The following information applies to the questions displayed below] On January 1, the Matthews Band pays $65,400 for sound equipment. The band estimates it will use this equipment for four years and perform 200 concerts. It estimates that after four years it can sell the equipment for $1,000. During the first year, the band performs 45 concerts. Compute the first-year depreciation using the units-of-production method.
The first-year depreciation for the sound equipment using the units-of-production method is $6,540.
The units-of-products method calculates depreciation based on the actual usage or production of the asset. In this case, the sound equipment's depreciation for the first year will be based on the number of concerts performed.
To calculate the depreciation, we need to determine the depreciation per concert. We subtract the estimated residual value ($1,000) from the cost of the equipment ($65,400) and divide it by the total estimated number of concerts (200). Depreciation per concert = (Cost - Residual value) / Total number of concert Depreciation per concert = ($65,400 - $1,000) / 200 = $322 per concert
Since the band performed 45 concerts in the first year, we multiply the depreciation per concert by the number of concerts performed to find the first-year depreciation.
First-year depreciation = Depreciation per concert * Number of concerts performe First-year depreciation = $322 * 45 = $6,540 Therefore, the first-year depreciation for the sound equipment using the units-of-production method is $6,540.
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Go to the BEA website (bea.gov). Find the latest annual balance of payments data for the United States. a. Compute (1) income earned on external assets (2) income paid on external liabilities. b. Find the latest net international investment position data for the United States. Compute (3) external assets (4) external liabilities for the end of the prior year. c. Divide (1) by (3) and then divide (2) by (4) to find the implied rates of interest on external assets and liabilities. Is the United States still privileged (the income it earns on investment abroad is larger than what it pays on its debt)?
To find the latest annual balance of payments data for the United States, you can visit the BEA website at bea.gov.
a. To compute the income earned on external assets and income paid on external liabilities, you will need to access the relevant data from the balance of payments report. The income earned on external assets refers to the income generated from investments made by the United States abroad. The income paid on external liabilities represents the interest or dividends paid on the debt owed by the United States to foreign entities.
b. The net international investment position data for the United States can also be found in the balance of payments report. To calculate the external assets and external liabilities for the end of the prior year, you will need to refer to the specific figures provided in the report.
c. After obtaining the figures for income earned on external assets, income paid on external liabilities, external assets, and external liabilities, you can divide (1) by (3) to find the implied rate of interest on external assets. Similarly, divide (2) by (4) to find the implied rate of interest on external liabilities.
To determine whether the United States is still privileged (earning more income on investment abroad than paying on its debt), you will need to compare the computed rates of interest. If the rate on external assets is higher than the rate on external liabilities, then the United States would still be considered privileged in terms of the income it earns on investment abroad.
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the primary activities of offshore banks a. include money laundering where banking secrecy laws are strict b. none of the options c. is to seek deposits and grant loans in currencies other than the currency of the host government d. involve check clearing of large bags of checks.
The primary activities of offshore banks include seeking deposits and granting loans in currencies other than the currency of the host government. This is option C.
Offshore banks may also engage in other activities such as wealth management and international transactions. Money laundering is not a legitimate activity of offshore banks, although some may take advantage of banking secrecy laws. Option A is not correct. Option B is not correct as well. Offshore banks typically do not involve check clearing of large bags of checks.
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Which of these savings functions would result in the smallest multiplier? Select one: a. S = 300+ 0.2Y b. S-200 + 0.4Y c. S-900 + 0.3Y d. S-450+ 0.1Y
Therefore, the savings function that results in the smallest multiplier is (d) S - 450 + 0.1Y, as the MPS is the highest among all the saving functions given.
The multiplier refers to the change in income per unit change in investment or spending. The multiplier increases as the marginal propensity to save decreases, which means that the smaller the marginal propensity to save, the greater the multiplier. Hence, the savings function with the smallest multiplier is the savings function with the highest marginal propensity to save. Let us discuss all the savings function one by one:
S = 300 + 0.2Y
The equation for this saving function is S = 300 + 0.2Y. Here, the marginal propensity to save (MPS) is 0.2. MPS refers to the amount by which savings increase when there is an increase of one dollar in income. If MPS is high, it means that people are saving more. Hence, the multiplier in this case will be smaller.
S - 200 + 0.4Y
The equation for this saving function is S - 200 + 0.4Y. Here, the MPS is 0.4, which is higher than the first saving function. Hence, the multiplier in this case will be smaller than the first saving function.
S - 900 + 0.3Y
The equation for this saving function is S - 900 + 0.3Y. Here, the MPS is 0.3, which is higher than the first saving function. Hence, the multiplier in this case will be smaller than the first saving function.
S - 450 + 0.1Y
The equation for this saving function is S - 450 + 0.1Y. Here, the MPS is 0.1, which is the lowest among all the saving functions. Hence, the multiplier in this case will be greater than all the other saving functions.
Therefore, the savings function that results in the smallest multiplier is (d) S - 450 + 0.1Y, as the MPS is the highest among all the saving functions given.
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a) Suppose that Samsung is producing any quantity of Q-LED TV at a constant marginal cost equal to $2000 and a fixed cost of $100 million. The demand for Q-LED TV in Asian and European markets are given by: Q A
=400000−10P A
and Q E
=100000−2P E
where the subscripts A and E denote Asia and Europe respectively. (i) How many Q-LED TV should the Samsung sell in each market and what price should it charge in each market? (ii) If Samsung has to charge same price in each market, what would be the quantity sold in each market, the equilibrium price and the company's profit? b) What are the three main causes of market failure? Give examples of each. [4+3+3]
To determine the quantity and price in each market, we need to find the equilibrium point where the quantity supplied equals the quantity demanded.
For the Asian market: Demand: QA = 400,000 - 10PA; Supply: QA = Q; Setting the demand equal to supply: 400,000 - 10PA = Q; Q = 400,000 - 10PA. For the European market: Demand: QE = 100,000 - 2PE; Supply: QE = Q. Setting the demand equal to supply: 100,000 - 2PE = Q;Q = 100,000 - 2PE. To find the prices, we equate the marginal cost (MC) to the equilibrium prices (PA and PE): MC = PA = PE = $2000. Substituting the equilibrium prices into the demand equations, we can solve for the quantities: QA = 400,000 - 10 * 2000 = 380,000 Q-LED TVs (Asian market); QE = 100,000 - 2 * 2000 = 96,000 Q-LED TVs (European market). Therefore, Samsung should sell 380,000 Q-LED TVs in the Asian market and 96,000 Q-LED TVs in the European market. The price in each market is $2000. (ii) If Samsung has to charge the same price in each market, the equilibrium price would be determined by setting the total quantity supplied equal to the total quantity demanded: QA + QE = 400,000 - 10P = 100,000 - 2P. 300,000 = 8P; P = $37,500.
Substituting this price back into the demand equations: QA = 400,000 - 10 * 37,500 = 25,000 Q-LED TVs (Asian market); QE = 100,000 - 2 * 37,500 = 25,000 Q-LED TVs (European market). Therefore, if Samsung charges the same price in each market, it will sell 25,000 Q-LED TVs in both the Asian and European markets, and the equilibrium price will be $37,500. The company's profit can be calculated by subtracting the total cost (fixed cost + variable cost) from the total revenue. b) The three main causes of market failure are: Externalities: Externalities occur when the production or consumption of a good or service affects parties not directly involved in the transaction. For example, pollution from a factory impacting the environment and nearby communities is a negative externality. It leads to an inefficient allocation of resources.
Market Power: Market power refers to situations where a single firm or a small group of firms have significant control over market prices and can restrict competition. Monopolies and oligopolies are examples of market power, and they can result in higher prices, reduced choices, and inefficiencies. Lack of Public Goods: Public goods are non-excludable and non-rivalrous, meaning they are available to all and one person's consumption does not diminish availability for others. However, private markets often fail to provide public goods efficiently due to the free-rider problem. National defense, street lighting, and public parks are examples of public goods that may be underprovided by the market. These market failures require government intervention to correct or mitigate them and ensure the efficient allocation of resources.
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Mega Corporation just paid a dividend of $1 per share. Analysts expect its dividend to grow at 15 percent per year for the next two years, and then 3 percent per year thereafter. If the required rate of return on the stock is 10 percent, what is the current value of the stock? Show your work below.
The current value of the stock, considering a dividend growth rate of 15% for two years and 3% thereafter, with a required rate of return of 10%, is approximately $3.256.
To calculate the current value of the stock, considering the expected dividend growth rate and the required rate of return, we can break down the steps:
1. Identify the relevant information:
- Dividend just paid: $1 per share
- Dividend growth rate for the next two years: 15% per year
- Dividend growth rate thereafter: 3% per year
- Required rate of return: 10%
2. Calculate the expected dividends for the next three periods:
Year 1 dividend: $1 * (1 + 15%) = $1.15 per share
Year 2 dividend: $1.15 * (1 + 15%) = $1.32 per share
Year 3 dividend: $1.32 * (1 + 3%) = $1.36 per share
3. Calculate the present value of the dividends:
To calculate the present value, we need to discount each dividend back to the present using the required rate of return.
Present value of Year 1 dividend = $1.15 / (1 + 10%) = $1.045
Present value of Year 2 dividend = $1.32 / (1 + 10%)^2 = $1.099
Present value of Year 3 dividend = $1.36 / (1 + 10%)^3 = $1.112
4. Calculate the current value of the stock:
The current value of the stock is the sum of the present values of all expected dividends.
Current value of the stock = Present value of Year 1 dividend + Present value of Year 2 dividend + Present value of Year 3 dividend
Current value of the stock = $1.045 + $1.099 + $1.112
Current value of the stock = $3.256
Therefore, the current value of the stock is approximately $3.256.
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Panamaicos Trustees Ltd, an investment bank, purchased a Federal Treasury bond at a government bond auction today. This bond has exactly 8 years to maturity and will pay semi-annual coupons of (equivalent) 3.2% per annum. All bonds in this issue (i.e. Treasury bonds with a coupon rate of 3.2% per annum with 8 years to maturity) are currently trading in the bond market at their face value of $1,000,000. Rather than just buy-and-hold this bond, the investment bank decides to strip the coupon payments off this newly issued 8 year to maturity (semi-annual coupon) bond to create a zero coupon bond and a separate income only annuity; rights to payments from the zero coupon bond and the annuity stream will be sold to investors.
If the zero coupon bond created can be sold at a yield of 2.8% per annum (assume semi-annual discount rate), what is its principle payment worth today?
What is the income stream (of semi-annual coupons) sold for if the yield accepted by the purchaser is an equivalent 2.8% per annum (assume semi-annual discount rate)?
What is the dollar (and percent) gain or loss made by the investment bank based on these transactions? Briefly comment on this trade from the investment bank’s perspective.
The principal payment of the zero coupon bond is worth $872,430.36 today. The income stream of semi-annual coupons sold is worth $127,569.64.
To calculate the present value of the zero coupon bond, we need to use the formula for present value of a single future cash flow. The bond has a face value of $1,000,000, a yield of 2.8% per annum (semi-annual discount rate), and 8 years to maturity. Plugging these values into the formula, we find that the present value of the principal payment is $872,430.36.
To calculate the present value of the income stream from the coupons, we can use the formula for present value of an annuity. The coupons have a semi-annual payment of 3.2% per annum, equivalent to $16,000 (3.2% of $1,000,000) per year. With 8 years to maturity, we have 16 coupon payments. Using the yield of 2.8% per annum (semi-annual discount rate) in the formula, we find that the present value of the income stream is $127,569.64.
In total, the investment bank receives $1,000,000 by selling the zero coupon bond and the income stream. However, the bank initially purchased the bond at face value, so there is no gain or loss in terms of the principal payment. The gain or loss for the investment bank lies in the income stream, which is sold for $127,569.64. If the bank's cost of acquiring the bond was lower than this amount, they would realize a gain. Conversely, if their cost was higher, they would experience a loss.
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