The difference in the required rates of return between Pluto Intelligence and Neptune Media is -1.65%. Neptune Media has a higher required rate of return than Pluto Intelligence.
The difference in the required rates of return between Pluto Intelligence and Neptune Media can be calculated using the formula:
The difference in the required rate of return = Neptune's required rate of return - Pluto's required rate of return
To calculate each company's required rate of return, we need to use the Capital Asset Pricing Model (CAPM) formula:
Required Rate of Return = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)
Given:
- Beta of Pluto Intelligence (Pluto) = 0.4
- Beta of Neptune Media (Neptune) = 15
- Risk-Free Rate = 3.0%
- Market Return = 9.6%
Now, let's calculate the required rates of return for both companies:
Pluto's required rate of return = 3.0% + 0.4 * (9.6% - 3.0%) = 3.0% + 0.4 * 6.6% = 3.0% + 2.64% = 5.64%
Neptune's required rate of return = 3.0% + 15 * (9.6% - 3.0%) = 3.0% + 15 * 6.6% = 3.0% + 0.99% = 3.99%
Now, let's calculate the difference in their required rates of return:
Difference in required rate of return = 3.99% - 5.64% = -1.65%
In summary, the difference in the required rates of return between Pluto Intelligence and Neptune Media is -1.65%. Neptune Media has a higher required rate of return than Pluto Intelligence.
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What 2 parties were involved in America's first dominant banking
coalition? Why did it come to an end? What event or events caused
this?
Please type your answer for clarity.
The two parties involved in America's first dominant banking coalition were the Federalists and the Democratic-Republicans. The coalition came to an end due to the expiration of the First Bank of the United States' charter and political disagreements.
The Federalists and the Democratic-Republicans were the two major political parties in the early years of the United States. The Federalists, led by Alexander Hamilton, advocated for a strong central government and supported the establishment of the First Bank of the United States in 1791. The Democratic-Republicans, led by Thomas Jefferson and James Madison, were more supportive of states' rights and were skeptical of a centralized banking system.
The banking coalition between these two parties formed as a compromise to address the financial challenges faced by the young nation. The First Bank of the United States, chartered for a period of 20 years, acted as a central bank and played a crucial role in regulating the nation's finances and promoting economic stability.
However, when the bank's charter came up for renewal in 1811, the Democratic-Republicans opposed its reauthorization. They believed that the bank concentrated too much power in the hands of the federal government and favored the interests of the wealthy elite. Additionally, the war with Britain and ongoing political divisions contributed to the decline of the banking coalition.
The expiration of the bank's charter in 1811 marked the end of America's first dominant banking coalition. Without the centralizing force of the First Bank, the nation faced economic challenges and had to navigate financial affairs without a unified banking system.
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The primary financial objective is usually taken to be the maximization of shareholder wealth.
Discuss:
Ways in which the shareholders of a company can encourage its manager to act in a way which is consistent with the objective of maximization of shareholder wealth.
What other objective may be important to a public limited company which are in-line with the primary objective of shareholder wealth maximization.
What is the purpose or benefit of published financial statements for companies and the ratio analysis?
Discuss Bonds/ Preference Shares and Ordinary Shares, and factors determinant in choosing them as the firm’s capital structure.
What are the short term and long term financing available for companies to generate funds for operating their business. Discuss the reason for acquiring this funds.
The objective of maximizing shareholder wealth is indeed a primary financial objective for many companies. Shareholders can encourage managers to act in line with this objective through several means:
1. Performance-based incentives: Shareholders can design executive compensation packages that align the interests of managers with the goal of shareholder wealth maximization. By offering bonuses, stock options, or other performance-based incentives tied to the company's financial performance, managers are motivated to make decisions that enhance shareholder value.
2. Active monitoring and engagement: Shareholders can actively monitor the company's performance and engage with management through regular shareholder meetings and voting rights. By participating in corporate governance, shareholders can hold management accountable and influence strategic decisions that maximize long-term shareholder wealth.
While shareholder wealth maximization is a primary objective, public limited companies may also consider other important objectives that align with this goal. These may include:
1. Stakeholder satisfaction: Companies recognize the importance of maintaining good relationships with various stakeholders such as customers, employees, suppliers, and the local community. By prioritizing stakeholder satisfaction, companies can enhance their reputation, brand value, and customer loyalty, ultimately leading to long-term profitability and shareholder wealth maximization.
2. Sustainability and corporate social responsibility (CSR): Companies may adopt sustainable business practices and engage in CSR initiatives to address environmental and social concerns. These efforts can enhance the company's reputation, attract socially conscious investors, and create long-term value for shareholders.
Published financial statements and ratio analysis play crucial roles in providing transparency and facilitating informed decision-making for investors, creditors, and other stakeholders. The purpose and benefits include:
1. Information disclosure: Published financial statements provide a comprehensive overview of a company's financial position, performance, and cash flows. They enable stakeholders to assess the company's profitability, liquidity, solvency, and overall financial health.
2. Comparison and benchmarking: Ratio analysis allows stakeholders to compare a company's financial performance with industry peers, identify trends, and benchmark against industry standards. Ratios such as profitability ratios, liquidity ratios, and leverage ratios provide insights into the company's financial efficiency and risk profile.
When considering the capital structure, companies have various options, including bonds/preference shares and ordinary shares:
1. Bonds/Preference Shares: Bonds and preference shares represent debt financing options. Companies can issue bonds to borrow funds from investors with a promise to repay the principal amount and periodic interest payments. Preference shares are a hybrid form of equity and debt, providing shareholders with fixed dividend payments. These options can provide a predictable cost of capital but increase the company's financial leverage and interest obligations.
2. Ordinary Shares: Ordinary shares, also known as common shares or equity, represent ownership in the company. Shareholders have voting rights and share in the company's profits through dividends and capital appreciation. Issuing ordinary shares can strengthen the company's equity base and provide flexibility but dilutes ownership and may lead to increased shareholder scrutiny.
The choice between these options depends on various factors such as risk tolerance, cost of capital, existing capital structure, market conditions, and investor preferences.
Companies have access to both short-term and long-term financing options to generate funds for operating their business:
1. Short-term financing: This includes sources such as trade credit, bank loans, lines of credit, and commercial paper. Short-term financing is used to meet immediate working capital needs, manage cash flow fluctuations, purchase inventory, and cover short-term liabilities.
2. Long-term financing: Long-term financing options include issuing bonds, issuing equity, obtaining long-term bank loans, and venture capital financing. These sources provide funds for long-term investments, capital expenditures, expansion plans, and strategic initiatives.
The reasons for acquiring these funds include supporting growth, funding investments, expanding operations, improving infrastructure, developing new products, acquiring assets or other companies, and strengthening financial stability.
Overall, companies consider a mix of short
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Xavier plans to invest an equal amount of $5,000 in an equity
fund every year, starting today. The expected APR of the fund is
20%, compounded annually. How much will Xavier have at the end of
30 year
Xavier will have approximately $47,686,750 at the end of 30 years if he invests an equal amount of $5,000 in an equity fund every year, starting today, with an expected APR of 20%, compounded annually.
The question is asking for the future value of an annuity, where Xavier plans to invest an equal amount of $5,000 in an equity fund every year, starting today. The expected APR of the fund is 20%, compounded annually, and the investment period is for 30 years.
To find the future value of the annuity, we can use the formula:
FV = PMT x [(1 + r)ⁿ - 1] / r where PMT is the periodic payment, r is the interest rate, and n is the number of periods.Using the given values, we have:PMT = $5,000, r = 20% compounded annually,n = 30 years.
Therefore, the future value of the annuity is:
FV = $5,000 x [(1 + 0.2)³⁰ - 1] / 0.2
FV = $5,000 x (9,537.35)
FV = $47,686,750
Therefore, Xavier will have approximately $47,686,750 at the end of 30 years if he invests an equal amount of $5,000 in an equity fund every year, starting today, with an expected APR of 20%, compounded annually.
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Exercise 5 (please show your work) Storage and insurance costs on silver are $2.1 per ounce every 3 months and have just been paid. 4 months ago, the price of silver was $17.89 per ounce and you took a long position in a forward contract on silver with a quantity of 28800 ounces and that matured in 11 months (at that time). Now, the spot price of silver is $17.73 per ounce. You decide to take a position in a contract on ilver with the same quantity and maturity as your firs contract. What is your porfit/loss when ontracts mature. The risk-free rate has always been 5.26%. (15 pts)
When the contracts mature, the position results in a loss of $236,736.
To calculate the profit/loss from the forward contracts on silver, we need to consider the cost of storage and insurance, as well as the change in the spot price.
Storage and insurance costs: $2.1 per ounce every 3 months (already paid)
Spot price of silver 4 months ago: $17.89 per ounce
Spot price of silver now: $17.73 per ounce
Quantity of forward contracts: 28,800 ounces
Maturity of forward contracts: 11 months
Risk-free rate: 5.26% per year
First, let's calculate the storage and insurance costs for the 11-month period:
Storage and insurance costs per year = (2.1/3) * (12/3) = $8.4 per ounce per year
Next, we calculate the present value of the storage and insurance costs using the risk-free rate:
Present value of storage and insurance costs = (8.4 / (1 + 0.0526)) ^ (11/12) = $8.06 per ounce
To calculate the profit/loss, we need to compare the forward price (locked in 4 months ago) with the current spot price:
Profit/loss per ounce = Spot price now - Forward price
The forward price can be calculated by adjusting the spot price 4 months ago with the storage and insurance costs:
Forward price = Spot price 4 months ago + Present value of storage and insurance costs
= $17.89 + $8.06
= $25.95 per ounce
Profit/loss per ounce = $17.73 - $25.95
= -$8.22 (loss)
Total profit/loss from the forward contracts = Profit/loss per ounce * Quantity of contracts
= -$8.22 * 28,800
= -$236,736
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The next dividend payment by Hot Wings, Inc., will be $2.31 per
share. The dividends are anticipated to maintain a 0.05 growth rate
forever. If the stock currently sells for $22 per share, what is
the
The required return for Hot Wings, Inc. is approximately 0.1595, or 15.95%. This is calculated using the Gordon growth model, assuming a constant growth rate and using the dividend payment and stock price.
To calculate the required return, we need to consider two components: the dividend yield and the expected dividend growth rate. The dividend yield is the annual dividend payment divided by the stock price, and the expected dividend growth rate is the anticipated annual growth rate of the dividends.
First, we calculate the dividend yield by dividing the next dividend payment by the stock price:
Dividend Yield = Next Dividend Payment / Stock Price
Dividend Yield = $2.75 / $48 = 0.0573 or 5.73%
Next, we need to determine the expected dividend growth rate. It is given in the problem statement that the dividends are anticipated to maintain a 3 percent growth rate forever. We can use this information to estimate the expected growth rate.
Since the dividend growth rate is 3 percent, we can express it as a decimal by dividing it by 100: 3% / 100 = 0.03.
Finally, we calculate the required return using the Gordon Growth Model, also known as the Dividend Discount Model (DDM):
Required Return = Dividend Yield + Dividend Growth Rate
Required Return = 0.0573 + 0.03 = 0.0873 or 8.73%
Therefore, the required return for Hot Wings, Inc. is approximately 8.73%.
The complete question is :
The next dividend payment by Hot Wings, Inc., will be $\$ 2.31$ per share. The dividends are anticipated to maintain a 0.05 growth rate forever. If the stock currently sells for $\$ 22$ per share, what is the required return? Answer with 4 decimals (e.g. 0.1234)
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Inventory management is critical to every organization.
Critically examine how organizations managed the relationships
between their suppliers and customers in relation to inventory.
Inventory management is critical to every organization. Critically examine how organizations managed the relationships between their suppliers and customers in relation to inventory.
What does it entail?Inventory management refers to the process of overseeing and controlling the flow of goods and services into and out of a business.
Effective inventory management is critical to the success of every organization. Organizations have managed the relationships between their suppliers and customers in relation to inventory in various ways.
Some of these ways include the following:
1. Collaboration between suppliers and customers
Collaboration between suppliers and customers is a critical aspect of effective inventory management. Organizations need to work closely with their suppliers to ensure that they have a reliable supply of goods and services. This can help to reduce the risk of stockouts and ensure that inventory is always available when needed.2. Just-in-time (JIT) inventory management
Just-in-time (JIT) inventory management is a technique that is used to minimize inventory levels. Organizations that use JIT inventory management only order goods and services as they are needed. This helps to reduce the cost of carrying inventory and ensures that the inventory is always up-to-date.3. Vendor-managed inventory (VMI)
Vendor-managed inventory (VMI) is a technique that is used by some organizations to manage their inventory. With VMI, the supplier takes responsibility for maintaining the inventory levels of their products.
This allows the customer to focus on their core business and reduces the risk of stockouts.
4. Electronic data interchange (EDI)
Electronic data interchange (EDI) is a computer-to-computer exchange of business documents in a standard electronic format between business partners.
EDI is used by some organizations to manage their inventory.
It allows suppliers to receive orders from their customers electronically, which can help to reduce lead times and improve the accuracy of orders.
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The city has imposed a 3-fish limit per person to prevent overfishing, and thus a sharp decline in the fish population. The city imposed this limitation because the lake and all its little fishies is effectively a Common Good Public Good Private Good O Club Good Question 31 You are starting a local chapter of the International Dark Sky Association to promote the use of light bulbs that reduce light pollution so that you can engage in your hobby of backyard astronomy with your supposedly eager cosmonaut friends. Nobody showed up to your first meeting, though everyone you talked with said it sounded like an interesting idea. You have run into the ____, where everyone wants the idea to go forward, but rationally does not want to contribute their time or 7111 resources. O Anti-Science Bias Problem O Collective Action Problem O Starkiller Problem 2 pts O Civic Voluntarism Problem
The city has imposed a 3-fish limit per person to prevent overfishing, and thus a sharp decline in the fish population. The city imposed this limitation because the lake and all its little fishies are effectively a common good.
The Common Good is a concept in political philosophy that refers to the interests and needs of the public as a whole rather than those of particular individuals or groups. In this case, the city has imposed a 3-fish limit per person to prevent overfishing, which is necessary to ensure that the lake's fish population remains healthy and sustainable. This is because the lake and all its little fishies are effectively a common good, meaning that they belong to everyone and are vulnerable to overuse and depletion if not managed properly.
On the other hand, the problem faced by the person who started a local chapter of the International Dark Sky Association to promote the use of light bulbs that reduce light pollution is the Collective Action Problem. The Collective Action Problem occurs when individuals rationally decide not to contribute their time or resources to a public good, even if they believe that the public good would be beneficial. In this case, everyone wants the idea to go forward, but rationally does not want to contribute their time or resources, which is why nobody showed up to the first meeting.
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Suppose an increase in wage reduced the labor supply for an
individual. Why did this happen?
Demonstrate on a graph. In the same graph, show the substitution
and income effects.
The reduction in labor supply is a result of the combined effect of the substitution effect (increasing labor supply) and the income effect (decreasing labor supply) resulting from the wage increase.
When an increase in wage reduces the labor supply for an individual, it can be attributed to the combined effect of the substitution effect and the income effect. The substitution effect arises from the fact that a higher wage makes working more attractive compared to leisure activities. On the other hand, the income effect relates to the change in the individual's overall income resulting from the wage increase, which affects their preference for work and leisure.
To demonstrate this on a graph, we can use the leisure-labor choice model. The horizontal axis represents the quantity of leisure, while the vertical axis represents the quantity of labor. The individual's budget constraint, which shows the feasible combinations of leisure and labor, is initially represented by the straight line.
When the wage increases, the budget constraint shifts outward, indicating that the individual's income has increased. This is shown as a parallel shift of the budget constraint to the right. The substitution effect is illustrated by the individual moving from point A to point B along the original budget constraint, where the higher wage makes working more attractive compared to leisure. This leads to an increase in labor supply.
However, the income effect comes into play as well. With the higher wage, the individual's income has increased, and they now have the option to consume more leisure. This leads to a decrease in labor supply as the individual moves from point B to point C along the new budget constraint, choosing to consume more leisure and work less.
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Let's say that you are looking to invest in two stocks A and B. Stock A has a beta of 1.19 and based on your best estimates is expected to have a return of 95% Stock & has a beta of 0.85 and is expected to eam 11%, If the risk-free rate is currently 4% and the expected retum on the market is 7%, which stock(s) should you invest in, if any?
A.Do not buy stock A do not buy stock B
B.Do not buy stock A, do not buy stock Bi
C.Buy stock A, buy stock B
D.Buy stock A, do not buy stock B
E.Do not buy stock A, buy stock B
Based on the information provided, the answer would be:
You should buy stock A.
You should not buy stock B.
To determine the optimal investment choice, we need to consider the expected return of each stock relative to its risk. The expected return of stock A is 95%, while the expected return of stock B is 11%. Comparing these returns to the risk-free rate of 4% and the market's expected return of 7%, we can assess their performance.
We can start by calculating the required rate of return for each stock using the Capital Asset Pricing Model (CAPM):
For stock A:
Required rate of return = Risk-free rate + Beta of A * (Expected return of the market - Risk-free rate)
= 4% + 1.19 * (7% - 4%)
= 4% + 1.19 * 3%
= 4% + 3.57%
= 7.57%
For stock B:
Required rate of return = Risk-free rate + Beta of B * (Expected return of the market - Risk-free rate)
= 4% + 0.85 * (7% - 4%)
= 4% + 0.85 * 3%
= 4% + 2.55%
= 6.55%
Comparing the required rates of return to the expected returns, we find that stock A has a higher expected return (95%) than its required rate of return (7.57%), indicating potential profitability. However, stock B has an expected return (11%) lower than its required rate of return (6.55%), suggesting it may not be a favorable investment.
Based on these calculations, the recommended decision is to buy stock A and not invest in stock B. Stock A's expected return is higher than its required rate of return, suggesting it has the potential to generate positive returns for investors. Meanwhile, stock B's expected return is lower than its required rate of return, indicating that it may not be an attractive investment option.
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Zoom has had an amazing surge of popularity during the pandemic, which in turn has led the price to rise. Assume that Zoom just paid a dividend of $1.00. Analysts expect the dividend to grow by 25% this year, 20% next year and then settle down to a long run growth rate of 4%. If investors require a 15% return, what price should Zoom stock trade at? Select one: a. $15.25 b. $14.18 c. $12.94 d. $14.25
The correct answer is not among the options provided. The correct price at which Zoom stock should trade is approximately $13.64. To calculate the price at which Zoom stock should trade, we can use the dividend discount model (DDM) formula.
The formula for the price of a stock using DDM is as follows:
Price = Dividend / (Required Rate of Return - Dividend Growth Rate)
Given the information provided:
Dividend = $1.00 (current dividend)
Dividend Growth Rate = 25% for this year, 20% for next year, and 4% long-run growth rate
Required Rate of Return = 15%
To calculate the price, we need to find the present value of the future dividends using the different growth rates. Let's break it down step by step:
Dividend for this year: $1.00 * (1 + 25%) = $1.25
Dividend for next year: $1.25 * (1 + 20%) = $1.50
Now, we can calculate the price using the DDM formula:
Price = $1.50 / (0.15 - 0.04) = $1.50 / 0.11 = $13.64
Therefore, the correct answer is not among the options provided. The correct price at which Zoom stock should trade is approximately $13.64.
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Answer the following questions a) What are the functions of managers? b) What is the difference between leader and manager? c) Differentiate between interpersonal, informational and decisional roles. d) Explain transactional and transformational leadership. e) What are conceptual, management, technical and interpersonal skills. f) Explain the "silent killers"
a) Functions of Managers:Managers perform several functions that differ from their non-managerial counterparts. Their functions are divided into several categories. These categories include planning, organizing, staffing, leading, and controlling.
Planning entails choosing missions, objectives, and strategies, and deciding on the resources that the organization will need to achieve its goals. Organizing refers to the arrangement of resources to execute the plans. Staffing includes selecting, developing, and retaining the appropriate employees for the organization's activities. Leading involves influencing employees to perform their work to the best of their ability. Controlling entails ensuring that everything goes according to plan, evaluating performance, and, if necessary, making modifications.
b) Differences between a Leader and a Manager:A leader is someone who guides or directs others, while a manager is someone who oversees operations. While leaders concentrate on developing new initiatives or projects to fulfill organizational objectives, managers concentrate on controlling and coordinating employees to guarantee that projects and initiatives are completed successfully.c) Differentiate between Interpersonal, Informational and Decisional Roles:Interpersonal roles are concerned with interacting with others. A manager is a figurehead who communicates with his or her subordinates.
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A feature that distinguishes a traditional performance budget from other budget classification structures is:_________
A traditional performance budget distinguishes itself from other budget structures by focusing on measuring the outputs and outcomes of government programs, rather than solely on resource allocation.
A feature that sets apart a traditional performance budget from other budget classification structures is its primary focus on measuring the outputs and outcomes of government programs or activities. Unlike other budget systems that primarily emphasize the allocation of resources, a traditional performance budget places greater importance on assessing the effectiveness and efficiency of public spending based on the results achieved.
This approach enables a more comprehensive evaluation of the value and impact of government programs by examining the tangible outcomes they deliver. By shifting the focus from inputs to measurable outputs and outcomes, a traditional performance budget promotes a results-oriented approach to budgeting and supports informed decision-making regarding the allocation of resources to maximize the desired outcomes.
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According to the Market Power Spectrum, and its explanation, which of the following is the best option with which for consumers to do business? O Pure Competitors O Monopolists O Oligopolists O Monopolistic Competitors
The best option for consumers to do business with, according to the Market Power Spectrum, is Pure Competitors. So, the correct answer is Pure Competitors.
The Market Power Spectrum categorizes market structures based on the level of competition and market power. Pure Competitors represent a market structure where there are many firms offering identical products or services, and no single firm has the ability to influence market prices or outcomes. In this market structure, firms are price takers, meaning they have no market power and must compete solely based on price and quality.
Compared to other options listed, Monopolists, Oligopolists, and Monopolistic Competitors, Pure Competitors offer the highest level of competition and consumer benefits. Monopolists are characterized by a single dominant firm with substantial market power, which can lead to higher prices and reduced consumer choice. Oligopolists represent a market structure with a few large firms, potentially leading to collusive behavior and limited competition. Monopolistic Competitors have some level of product differentiation, allowing firms to have a degree of market power and influence over prices.
Therefore, Pure Competitors, with their emphasis on competitive pricing, quality, and choice, are considered the best option for consumers to do business with according to the Market Power Spectrum.
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Gleaning is a centuries-old tradition in France. How does the film show us some of this history?
There are various forms of gleaning seen in the film, and many different contexts. What does the film show us in the following contexts?
Agricultural:
Maritime:
Artistic:
Urban:
There seems to be a thin line, sometimes, between gleaning and stealing. How does the film help us understand that line?
The film maker, Agnès Varda, seems to have a point of view about gleaning. How would you describe that point of view?
Do you agree or disagree with the film’s point of view? Explain.
The film "The Gleaners and I" was directed by Agnès Varda, in which the director showed how the centuries-old French tradition of gleaning continues in modern-day France. It shows that gleaning is an ancient and valuable practice that has played a significant role in the history of French society. The film shows various forms of gleaning, including agricultural, maritime, artistic, and urban.
Agricultural:
In the agricultural context, the film shows how farmers leave their fields and crops after harvesting. This practice provides an opportunity for poor people to collect leftover crops. They glean the fields for any produce that was not collected during the harvest. They collect fruits and vegetables, nuts, and other crops that they can use or sell.
Maritime:
In the maritime context, the film shows fishermen who glean the fish that are left behind by the bigger boats. They use these fishes for their own consumption or sell them.
Artistic:
In the artistic context, the film shows how artists use discarded objects, junk, and garbage to create beautiful artworks. They find beauty in things that are considered worthless and transform them into works of art.
Urban:
In the urban context, the film shows how people living in cities glean from the trash. They collect objects such as furniture, clothes, books, etc., that people throw away, and these are still useful to them. The film helps us understand that line between gleaning and stealing by showing that the line can sometimes be thin. Gleaners often take from the fields, streets, and trash cans what they consider to be of value and useful. However, the film shows that the line between gleaning and stealing is determined by the law. If an object is discarded, it is no longer considered private property. However, if it is still on someone’s property, it is considered stealing. Agnès Varda's point of view about gleaning is that it is an essential practice in French society. She shows that gleaning is still prevalent in modern-day France and is performed by people from all walks of life. She portrays gleaning as an ancient and valuable tradition that has been passed down from generation to generation. I agree with the film's point of view.
The film shows that gleaning is an essential practice that has played a significant role in French society. It has helped many poor people to survive, and it has also provided artists with the opportunity to create beautiful works of art.
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When a customer transferred $50,000 from his checking account to a mutual fund account, M1 increases O M2 increases M2 decreases M1 decreases
When a customer transferred $50,000 from his checking account to a mutual fund account, the correct impact on the money supply is M1 decreases and M2 remains unchanged.
M1 consists of cash, checking deposits, and traveler's checks. M1 is the most liquid of the money supply because it is composed of assets that are readily available to spend. M2 is M1 plus short-term time deposits in banks and certain money market funds. M2 is a broader definition of the money supply. It contains everything that M1 contains plus other components that aren't as liquid as M1.
When a customer transferred $50,000 from his checking account to a mutual fund account, the funds move from M1 to a less liquid category in M2. As a result, M1 decreases, and M2 remains unchanged since the amount was transferred from a more liquid component to a less liquid component and there was no reduction in the money supply. Therefore, the correct impact on the money supply is M1 decreases, and M2 remains unchanged.
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You have inherited $10,000 from your wonderful Aunt Bessie. You
decide to spend 3,182 on a vacation. The rest you will invest in a
Roth IRA. You expect it to earn 6.3% over the next 45 years. How
much
The total amount of money that would be in the Roth IRA account would be $116,523.34 in 45 years.
A Roth IRA (Individual Retirement Account) is a tax-advantaged account that enables you to save money for retirement. The income you earn in a Roth IRA is tax-free, and withdrawals are also tax-free once you reach age 59 1/2 and have had the account for five years.
A Roth IRA is an excellent method to save for retirement, and it's particularly useful for younger people, as it has a long-term benefit due to compound interest.You decide to spend $3,182 on a vacation and invest the remainder in a Roth IRA.
Therefore, the amount you are investing in the Roth IRA will be:
$10,000 - $3,182
= $6,818
Now we need to calculate how much money will be earned in 45 years with a 6.3% annual interest rate.
Using the formula for compound interest:
Final amount = Initial amount x (1 + annual interest rate) ^ number of years
Final amount = $6,818 x (1 + 0.063) ^ 45
Final amount = $116,523.34
Therefore, the total amount of money that would be in the Roth IRA account would be $116,523.34 in 45 years.
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The four possible strategies that can be pursued for each sbu are building, holding, ________, and ________.
The four possible strategies that can be pursued for each SBU (Strategic Business Unit) are building, holding, harvesting, and divesting.
1. Building: This strategy involves investing resources and efforts to expand and grow the SBU's market share, revenues, and profitability. It includes activities like product development, market expansion, and aggressive marketing to capture a larger customer base.
2. Holding: In this strategy, the SBU maintains its current market position and focuses on maintaining its existing customer base and profitability. This strategy is suitable when the market is stable, and there is limited potential for growth or when the SBU's resources are allocated to other SBUs with higher growth potential.
3. Harvesting: This strategy involves reducing investment in the SBU and maximizing short-term cash flows. The focus is on extracting as much profit as possible from the SBU, often through cost-cutting measures, reducing marketing expenses, and minimizing capital expenditures.
4. Divesting: This strategy entails selling or liquidating the SBU, usually because it no longer fits with the organization's long-term objectives or is underperforming. Divesting allows the organization to redirect resources and efforts towards more promising opportunities.
Each strategy has its advantages and should be chosen based on the SBU's characteristics, market conditions, and organizational goals.
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What amount of money invested today is required to support 20
semi-annual "annuity" payments of $1600, with the first payment
starting exactly 5 years from today. Assume money earns an interest
ra
To calculate the amount of money required to support 20 semi-annual annuity payments of $1600, with the first payment starting 5 years from today, we can use the present value of an annuity formula.
The formula for calculating the present value of an annuity is:
PV = PMT x (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.
In this case, the payment amount (PMT) is $1600, the interest rate (r) will depend on the given information, and the number of periods (n) is 20 semi-annual payments, which is equivalent to 10 years.
To calculate the required amount of money invested today, we need the interest rate per period (r). Once we have that information, we can plug it into the formula to find the present value (PV).
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If you have higher risk tolerance would it be better to invest in stocks or bonds?
A. If you have a higher tolerance for risk, then stocks are a better option for your long term investments
B. If you have a higher tolerance for risk, then bonds are a better option for your long term investments
C. Your tolerance for risk does not impact your choice between stocks and bonds
D. If you have a higher tolerance for risk, then you should speculate in very risky stocks and bonds
If you have higher risk tolerance would it be better to invest in stocks or bonds "If you have a higher tolerance for risk, then stocks are a better option for your long-term investments". The correct option is A.
If you have a higher risk tolerance, it means you are more comfortable with the potential fluctuations and volatility in the value of your investments. The stock has more volatile than bonds and offer the potential for higher returns over the long term.
They have historically outperformed bonds in terms of average returns although they come with greater short-term fluctuations.
Therefore, the correct option is A.
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Bud is approved to buy a home priced at $169,000 with a 30-year fixed rate, monthly payment, mortgage loan at 8% (annual interest) with an LTV of 75%. Given this information, Bud's monthly (P&I) payment will be
a. $772.16
b. $888.80
c. $930.05
d. $874.68
e. $880.52
Bud's monthly payment is c. $930.05.
To calculate Bud's monthly (P&I) payment, we need to use the formula for calculating the monthly payment on a mortgage loan. The formula is:
M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]
Where:
M = monthly payment
P = loan amount (or home price multiplied by LTV)
i = monthly interest rate (annual interest rate divided by 12)
n = number of payments (30 years multiplied by 12 months)
First, let's calculate the loan amount using the LTV. The LTV is 75%, so Bud's loan amount would be 75% of $169,000:
Loan Amount = $169,000 * 0.75 = $126,750
Next, let's calculate the monthly interest rate. The annual interest rate is 8%, so the monthly interest rate would be:
Monthly Interest Rate = 8% / 12 = 0.00667
Now, let's calculate the number of payments. Bud has a 30-year mortgage, which means he would make 30 years * 12 months = 360 payments.
Now, we can plug these values into the formula:
M = $126,750 [ 0.00667(1 + 0.00667)^360 ] / [ (1 + 0.00667)^360 - 1 ]
After performing the calculations, the monthly (P&I) payment comes out to be approximately $930.05.
Therefore, the correct answer is c. $930.05.
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Links Ltd., a logistics company, is considering buying a smaller competitor in the same industry it operates in. The competitor, Smartmove Ltd., is a more technologically advanced, but resource limited, company. The management of Links Ltd. feels that the company could incorporate the technology Smartmove Ltd. has developed to realise significant cost savings and better their customer experience and therefore increase revenue. The potential customer base acquired from Smartmove Ltd. would be inconsequential to a company of Links. Ltd.’s size and does not factor into the decision. Links Ltd. wants to acquire 100% of the outstanding shares of Smartmove Ltd. given the sensitivity of the technology to its business competiveness. Links Ltd. plans to use an issue of shares to fund the acquisition. Links. Ltd. has 100m shares in issue currently trading at R10 apiece and EPS of R1.00 while Smartmove Ltd. has 10m shares in issue trading at R1 apiece with EPS of R0.10. Synergistic earnings of R5m per year is expected post the merger. Question 6 Determine the market premium if Links Ltd. makes an offer in line with the maximum exchange ratio determined from EPS and synergistic benefits and choose the nearest option below. a. 5% b. 50% c. 500% d. 5000%
The market premium, in this case, is 5,000,000%. The correct answer is option d.
To determine the market premium if Links Ltd. makes an offer in line with the maximum exchange ratio determined from EPS and synergistic benefits, we need to calculate the maximum exchange ratio first.
The maximum exchange ratio can be determined by dividing the EPS of Links Ltd. by the EPS of Smartmove Ltd., considering the synergistic earnings as well.
EPS of Links Ltd. = R1.00
EPS of Smartmove Ltd. = R0.10
Synergistic earnings = R5,000,000 (R5m)
Maximum Exchange Ratio = (EPS of Links Ltd. + Synergistic Earnings) / EPS of Smartmove Ltd.
= (R1.00 + R5,000,000) / R0.10
= (R5,000,001.00) / R0.10
= R50,000,010.00
Now, let's calculate the market premium by comparing the maximum exchange ratio to the current trading price of Links Ltd.
Market Premium = (Maximum Exchange Ratio - Current Trading Price) / Current Trading Price
= (R50,000,010.00 - R10.00) / R10.00
= R50,000,000.00 / R10.00
= 5,000,000.00
The correct answer is option d.
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Complete question
Links Ltd., a logistics company, is considering buying a smaller competitor in the same industry it operates in. The competitor, Smartmove Ltd., is a more technologically advanced, but resource limited, company. The management of Links Ltd. feels that the company could incorporate the technology Smartmove Ltd. has developed to realise significant cost savings and better their customer experience and therefore increase revenue. The potential customer base acquired from Smartmove Ltd. would be inconsequential to a company of Links. Ltd.’s size and does not factor into the decision. Links Ltd. wants to acquire 100% of the outstanding shares of Smartmove Ltd. given the sensitivity of the technology to its business competiveness. Links Ltd. plans to use an issue of shares to fund the acquisition. Links. Ltd. has 100m shares in issue currently trading at R10 apiece and EPS of R1.00 while Smartmove Ltd. has 10m shares in issue trading at R1 apiece with EPS of R0.10. Synergistic earnings of R5m per year is expected post the merger. Question 6 Determine the market premium if Links Ltd. makes an offer in line with the maximum exchange ratio determined from EPS and synergistic benefits and choose the nearest option below. a. 5% b. 50% c. 500% d. 5000,000%
Based on the 3% one-year return on bonds and the 2.5% inflation rate mentioned by panelist Stephen Stanley, what is the real return on bonds? The real return is %.
With a nominal return of 3% and an inflation rate of 2.5%, the real return on bonds is 0.5%. This represents the actual increase in purchasing power after adjusting for inflation.
To calculate the real return on bonds, we need to subtract the inflation rate from the nominal return. In this case, the nominal return is 3% and the inflation rate is 2.5%.
Real Return = Nominal Return - Inflation Rate
Real Return = 3% - 2.5% = 0.5%
Therefore, the real return on bonds is 0.5%.
The real return represents the actual increase in purchasing power that an investor receives after accounting for inflation. Inflation erodes the value of money over time, so it is essential to consider its impact when assessing investment returns.
In this scenario, if an investor earns a nominal return of 3% on bonds but the inflation rate is 2.5%, it means that the investor's purchasing power has only increased by 0.5% after adjusting for inflation. This indicates that the real return is relatively low.
A positive real return indicates that the investment has outpaced inflation, preserving or increasing the investor's purchasing power. Conversely, a negative real return means that the investment has not kept up with inflation, resulting in a loss of purchasing power.
Investors often consider the real return when evaluating investment options because it provides a more accurate measure of the investment's profitability in real terms. By accounting for inflation, investors can make informed decisions and assess the true value of their investment returns.
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The most common pattern for marginal utility is diminishing marginal utility a budget constraint model a long-term perspective theoretical model substitute consumption
The most common pattern for marginal utility is diminishing marginal utility, which refers to the decrease in the additional satisfaction or benefit gained from consuming each additional unit of a good or service.
Diminishing marginal utility is a fundamental concept in economics that explains how individuals derive satisfaction from consuming goods and services. According to this concept, as a person consumes more units of a particular good or service, the additional utility or satisfaction gained from each additional unit decreases. In other words, the first unit consumed provides the highest level of utility, and subsequent units provide diminishing levels of utility.
This pattern arises from the principle of diminishing marginal returns, which states that as more units of a good are consumed, the marginal benefit derived from each additional unit decreases. For example, imagine someone eating a slice of pizza. The first slice brings great satisfaction, as it satisfies hunger and provides enjoyment. However, as the person continues to eat more slices, the satisfaction derived from each additional slice diminishes. Eventually, they may reach a point where consuming another slice brings little or no additional satisfaction.
Understanding diminishing marginal utility is crucial in analyzing consumer behavior and decision-making. It helps explain why individuals may allocate their limited resources to a variety of goods rather than consuming large quantities of a single good. By diversifying consumption and pursuing a combination of goods that maximizes total utility, individuals can optimize their overall satisfaction.
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When Elijah was born, his grandparents made a one-time deposit of $5,000.00 into a special savings account for his college education. The account earns 5% interest compounded daily. Assume 360 days in a year. How much will be in the account when Elijah turns 18? Round your answer to the nearest cent. Assume the interest rate does not change while the account is open. Futue Value When Elijah turns 18, if he leaves the amount from above in the account and then arranges for the monthly interest to be sent to him, how much will he receive each month? Round your answer to the nearest cent. Assume 1 month =30 days.
To calculate the amount in Elijah's account when he turns 18, we can use the formula for compound interest:
[ A = P \times \left(1 + \frac{r}{n}\right)^{n \times t} \]
Where:
A is the future value (amount in the account when Elijah turns 18),
P is the initial deposit ($5,000.00),
r is the annual interest rate (5% or 0.05),
n is the number of times interest is compounded per year (360 for daily compounding), and
t is the number of years (18).
Substituting the given values, we have:
[ A = 5000 \times \left(1 + \frac{0.05}{360}\right)^{360 \times 18} \]
Calculating this expression will give us the amount in the account when Elijah turns 18. Now, to determine how much he will receive each month, we can use the formula:
[ Monthly amount = \frac{A \times \frac{r}{n}}{t} \]
Where:
Monthly amount is the amount Elijah will receive each month,
A is the future value calculated above,
r is the annual interest rate (5% or 0.05),
n is the number of times interest is compounded per year (360 for daily compounding), and
t is the number of months (18 years multiplied by 12 months per year).
Substituting the values into the formula and rounding to the nearest cent will give us the monthly amount Elijah will receive from his account.
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A parking lot can fit at most 100 cars and trucks in the lot. A car covers 100 square feet and a truck covers 200 square feet of lot space. The lot space is 12 000 square feet. The charge is $20 per car and $35 dollars per truck. What is the maximal profit? Select one: a. $2400 b. None of these c. 2575 d. $2525 e. $2,390
The maximal profit can be calculated by determining the maximum number of cars and trucks that can fit in the parking lot, and then multiplying it by the corresponding charge for each vehicle type.
Number of cars = 12,000 square feet / 100 square feet = 120 cars
Number of trucks = 12,000 square feet / 200 square feet = 60 trucks
The profit from cars would be 120 cars * $20 = $2400, and the profit from trucks would be 60 trucks * $35 = $2100. Therefore, the maximal profit would be $2400 + $2100 = $4500.
The correct answer is not provided in the options given. The correct answer should be $4500, as calculated above, which is not listed among the options provided. Therefore, the correct answer is "None of these" since none of the given options match the calculated maximal profit.
Let's assume 'x' represents the number of cars and 'y' represents the number of trucks. Since a car covers 100 square feet and a truck covers 200 square feet, we can set up the following equations:
100x + 200y ≤ 12,000 (space constraint)
x + y ≤ 100 (vehicle constraint)
To maximize the profit, we need to maximize the revenue generated from cars and trucks. The revenue can be calculated by multiplying the number of vehicles by their respective charges:
Revenue from cars = x * $20
Revenue from trucks = y * $35
We want to find the values of 'x' and 'y' that maximize the revenue while satisfying the given constraints. However, based on the calculations, the maximal profit is $4500, which is not listed in the options provided.
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Mr. Binit, Finance manager of S Ltd. is evaluating the present credit policy of his company. Under the present
policy the company is offering 3% discount for payment within 10 days. The analysis of accounts receivable
shows an average collection period of 30 days. Mr. Binit is of the opinion that the discount should be discounted
as it is affecting the profitability of the company in the present scenario of rising manufacturing cost. It is
estimated that if the discount is discontinued the average collection period would increase to 35 days. Presently
30% of the total customers are availing discount and if the discount is withdrawn, these customers can also be
expected to pay along with the other customers. The marketing manager informed him that as a result sales
might drop 2,10,000 units to 2,00,000 units per year. The selling price per unit is Rs.45. The average cost per
unit is Rs.50 and variable cost to sales ratio is 75%. The required rate of return on the company`s investment is
20%.
Question 21:- Which of the following statement is true?
a) As change in profit is negative, Mr. Binit should not go for withdrawing discount
b) As change in profit is negative, Mr. Binit should go for withdrawing discount
c) As there is no change in profit change in profit is negative, Mr. Binit should go for withdrawing
discount
d) As change in profit is positive , Mr. Binit should go for withdrawing discount
Question 22:- Increase in investment receivables is:
a) Rs.1,12,500
b) Rs.1,12,550
c) Rs.1,13,500
d) Rs.1,31,250
Question 23:- The loss of contribution due to increase in sales is_______.
a) Rs.1,13,500
b) Rs.1,14,500
c) Rs.1,12,500
d) Rs.1,15,500Question 24:- Savings in receivables investment due to decrease in sales will be_______.
a) Rs.32,480.50
b) Rs.32,812.50
c) Rs.31,812.50
d) Rs.32,012.50
Question 25:- The cost of financing the increased investment in receivables will be________.
a) Rs.29,687.50
b) Rs.9,687.50
c) Rs.19,687.50
d) Rs.11,687.50
Question 21: Under policy, the change in profit is negative, indicating a decrease in profit. Therefore, the correct statement is:
b) As change in profit is negative, Mr. Binit should go for withdrawing discount
Question 22: Increase in investment receivables is calculated as:
a) Rs.1,12,500
Question 23: The loss of contribution due to the increase in sales is calculated as:
c) Rs.1,12,500
Question 24: Savings in receivables investment due to the decrease in sales will be calculated as:
b) Rs.32,812.50
Question 25: The cost of financing the increased investment in receivables will be calculated as:
a) Rs.29,687.50
To answer the questions, let's calculate the relevant figures based on the given information.
First, let's calculate the change in profit if the discount is withdrawn:
Average collection period under the current policy = 30 days
Average collection period if the discount is withdrawn = 35 days
Change in collection period = 35 days - 30 days = 5 days
Average daily sales = Annual sales / 365 days
Annual sales = Selling price per unit * Total units sold per year
Total units sold per year under the current policy = 2,10,000 units
Total units sold per year if the discount is withdrawn = 2,00,000 units
Annual sales under the current policy = Rs.45 * 2,10,000 units
Annual sales if the discount is withdrawn = Rs.45 * 2,00,000 units
Variable cost per unit = Rs.50 * 75% (variable cost to sales ratio)
Fixed cost per unit = Rs.50 - Variable cost per unit
Contribution margin per unit = Selling price per unit - Variable cost per unit
Now let's calculate the changes in different factors:
Change in profit due to increased collection period:
Change in profit = (Change in collection period / Average collection period) * Annual sales * Contribution margin per unit
Change in profit due to decreased sales:
Change in sales = (Total units sold per year under the current policy - Total units sold per year if the discount is withdrawn) * Contribution margin per unit
Increase in investment in receivables:
Increase in investment in receivables = (Change in collection period / 365) * Annual sales
Savings in receivables investment due to decreased sales:
Savings in receivables investment = (Change in sales / Total units sold per year under the current policy) * Increase in investment in receivables
Cost of financing the increased investment in receivables:
Cost of financing = Increase in investment in receivables * Required rate of return on investment.
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U. Suppose That There Are Only Two Fishermen, Zach And Jacob, Who Fish Along A Certain Coast. They Would Each Benefit If Lighthouses Were Built Along The Coast Where They Fish. The Marginal Cost Of Building Each Additional Lighthouse Is $100. The Marginal Benefit To Zach Of Each Additional Lighthouse Is 90−Q, And The Marginal Benefit To Jacob Is 40−Q, Where
a. We might not expect to find the efficient number of lighthouses along this coast due to the presence of externalities.
An externality occurs when the actions of one party affect the well-being of others, but these effects are not taken into account by the individuals making the decisions. In this case, the marginal benefits of building additional lighthouses are not fully captured by Zach and Jacob, leading to an inefficient outcome.
b. The efficient number of lighthouses can be determined by equating the marginal cost of building lighthouses to the combined marginal benefits of Zach and Jacob. Setting the marginal cost of building each additional lighthouse ($100) equal to the combined marginal benefits, we have:
Marginal Benefit to Zach + Marginal Benefit to Jacob = Marginal Cost
(90 - Q) + (40 - Q) = 100
Simplifying the equation, we get:
130 - 2Q = 100
2Q = 30
Q = 15
Therefore, the efficient number of lighthouses is 15. If the efficient number of lighthouses is provided, the net benefits to Zach and Jacob can be calculated by subtracting the marginal cost of each lighthouse from their respective marginal benefits:
Net Benefit to Zach = Marginal Benefit to Zach - Marginal Cost = (90 - 15) - 100 = -25
Net Benefit to Jacob = Marginal Benefit to Jacob - Marginal Cost = (40 - 15) - 100 = -75
In this case, both Zach and Jacob would experience negative net benefits, indicating that they would be worse off if the efficient number of lighthouses were provided.
This is because the marginal benefits of building additional lighthouses do not outweigh the marginal costs for either fisherman.
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11. Suppose that there are only two fishermen, Zach and Jacob, who fish along a certain coast. They would each benefit if lighthouses were built along the coast where they fish. The marginal cost of building each additional light- house is $100. The marginal benefit to Zach of each additional lighthouse is 90 - Q, and the marginal benefit to Jacob is 40 - 0, where Q equals the number of lighthouses. a. Explain why we might not expect to find the efficient number of lighthouses along this coast. b. What is the efficient number of lighthouses? What would be the net benefits to Zach and Jacob if the efficient number were provided?
How could Apple use collaborative forecasting with its suppliers
to improve its supply chain?
Apple could use collaborative forecasting with its suppliers to improve its supply chain by enhancing communication, increasing accuracy in demand forecasting, reducing inventory costs, and improving overall supply chain efficiency.
Collaborative forecasting involves sharing information and collaborating with suppliers to gather data and insights for demand forecasting. By implementing collaborative forecasting practices, Apple can improve its supply chain in several ways. Firstly, collaborative forecasting allows Apple to enhance communication and build stronger relationships with its suppliers. This leads to better information sharing, improved coordination, and increased responsiveness to changes in demand.
Secondly, by collaborating with suppliers, Apple can gain access to more accurate and timely demand data. This enables better forecasting, reducing the risk of overstocking or understocking inventory and minimizing the costs associated with inventory management.
Additionally, collaborative forecasting helps identify potential supply chain bottlenecks and enables proactive planning to mitigate disruptions. By working together, Apple and its suppliers can optimize production, reduce lead times, and improve overall supply chain efficiency. Overall, collaborative forecasting enables Apple to leverage the expertise and insights of its suppliers, resulting in a more efficient and responsive supply chain that meets customer demand effectively.
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You are evaluating two different silicon wafer milling machines. The Techron | costs $265,000, has a three-year life, and has pretax operating costs of $74,000 per year. The Techron Il costs $445,000, has a five-year life, and has pretax operating costs of $47,000 per year. For both milling machines, use straight-line depreciation to zero over the project's life and assume a salvage value of $35,000. If your tax rate is 22 percent and your discount rate is 10 percent, compute the EAC for both machines. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)
Techron I
Techron II
Which do you prefer?
O Techron II
O Techron l
As the EAC of Techron I is $458,068.38 and that of Techron II is $572,289.36. Hence, we prefer Techron I.
Evaluation of Techron I and Techron II silicon wafer milling machines:
Let us first calculate the depreciation:
Depreciation of Techron I
= ($265,000 - $35,000) / 3
= $76,667
Depreciation of Techron II
= ($445,000 - $35,000) / 5
= $82,000.
As we know, the EAC formula can be computed as follows:
EAC = Annual cost * Annuity factor
Annuity factor for Techron I can be computed as follows:
i = 10%,
n = 3 years,
annuity factor = 2.48685
Annual cost of Techron I = Depreciation + Operating cost + Taxes
Depreciation = $76,667
Operating cost = $74,000
Taxes = 0.22 * ($76,667 + $74,000)
= $33,397
Annual cost of Techron I = $76,667 + $74,000 + $33,397
= $184,064
EAC of Techron I = $184,064 * 2.48685
= $458,068.38
Annuity factor for Techron II can be computed as follows:
i = 10%,
n = 5 years,
annuity factor = 3.79079
Annual cost of Techron II = Depreciation + Operating cost + Taxes
Depreciation = $82,000
Operating cost = $47,000
Taxes = 0.22 * ($82,000 + $47,000)
= $21,780
Annual cost of Techron II = $82,000 + $47,000 + $21,780 = $150,780
EAC of Techron II = $150,780 * 3.79079
= $572,289.36
To prefer between Techron I and Techron II, we can look at their EAC values:
We should choose the machine that has the lower EAC value.
From our calculation, we can see that the EAC of Techron I is $458,068.38 and that of Techron II is $572,289.36. Hence, we prefer Techron I.
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If the present value of an ordinary, 4-year annuity is $1,000
and interest rates are 6 percent, what is the present value of the
same annuity due?
If the present value of an ordinary, 4-year annuity is $1,000 and interest rates are 6 percent, An ordinary annuity is a sequence of fixed payments or receipts made at the end of each period. The annuity is called ordinary because payments are made at the end of each period.
Present Value of Annuity DueThe present value of an annuity due is the current worth of a series of equal cash payments or receipts that happen at the start of each period. The formula used for calculating the present value of an annuity due is:PV = PMT × [(1 - (1 / (1 + r)n)) / r] × (1 + r)Where PV represents the present value, PMT represents the annuity payment, r represents the interest rate, and n represents the total number of payments.
The present value of an ordinary annuity, where payments occur at the end of each period, is calculated using this formula:PV = PMT × [(1 - (1 / (1 + r)n)) / r]So, according to the given information:Present Value of Ordinary Annuity = $1,000Time = 4 yearsInterest Rate = 6%The formula for calculating the present value of the annuity due is given by:PV = PMT × [(1 - (1 / (1 + r)n)) / r] × (1 + r)PMT is the Payment that is made at the start of each period.
PV = $1,000 × [(1 - (1 / (1 + 6%)^4)) / 6%] × (1 + 6%)Using the formula, we get:
PV = $1,000 × [3.4651 / 1.06] × 1.06
PV = $1,000 × 3.2724
PV = $3,272.4The present value of the annuity due is $3,272.4 when the present value of an ordinary, 4-year annuity is $1,000 and interest rates are 6 percent.
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