To compute the Mean Absolute Deviation (MAD) using simple exponential smoothing.
You need to follow these steps:
Step 1: Calculate the forecast for each period using simple exponential smoothing.
To calculate the forecast for the first period, you can use the actual demand value as the initial forecast value. For the subsequent periods, you can use the formula:
Forecast for period t = α * Actual demand for period t + (1 - α) * Forecast for period t-1
Here, α is the smoothing parameter, which determines the weight given to the most recent demand value. You'll need to choose an appropriate value for α. Let's assume α = 0.3 for this example.
Using the formula, you can calculate the forecast values for each period. I'll provide an example calculation for period 2:
Forecast for period 2 = 0.3 * 158 + (1 - 0.3) * 130 = 147.4
Similarly, calculate the forecast values for the remaining periods.
Step 2: Calculate the absolute error for each period.
To calculate the absolute error, subtract the forecasted value from the actual demand value for each period. Take the absolute value of the difference. Here's an example calculation for period 2:
Absolute error for period 2 = |Actual demand for period 2 - Forecast for period 2| = |158 - 147.4| = 10.6
Calculate the absolute error for each period.
Step 3: Calculate the Mean Absolute Deviation (MAD).
To calculate MAD, you need to find the average of the absolute errors. Add up all the absolute errors and divide by the number of periods. Here's an example calculation:
MAD = (Absolute error for period 1 + Absolute error for period 2 + ... + Absolute error for period 10) / 10
Perform the calculation to find the MAD.
By following these steps, you'll be able to compute the MAD using simple exponential smoothing for the given time series data. Remember to choose an appropriate value for α based on the characteristics of the data.
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When Walt Disney failed to sell Mickey Mouse the first time around, he had to evaluate the features of the product to determine what would satisfy his customers' needs and wants. Disney created a voice and a personality for the mouse character that ended up making the Mickey Mouse's character a huge success. Which skill did Walt Disney apply here? Select one: a. Strategy skill b. Marketing skill c. Project-management skill d. Planning skill
Walt Disney applied the marketing skill while evaluating the features of the product and creating a voice and a personality for the mouse character that ended up making the Mickey Mouse's character a huge success. The correct answer is option B. Marketing skill.
Marketing skill is a set of practices that organizations use to market their products or services. The marketing skill involves researching, promoting, advertising, and selling products or services to consumers. Walt Disney applied the marketing skill when he had to evaluate the features of the product to determine what would satisfy his customers' needs and wants, he created a voice and a personality for the mouse character that ended up making the Mickey Mouse's character a huge success.Therefore, the correct answer is option B. Marketing skill.
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You are the CFO of "Magic Candles Inc." a public company with stocks traded at TSX. You are located in New Westminster, BC. The marketing team of your company has just come up with a new product strategy where the company needs to start producing candles from eco-friendly materials. The estimated investment into this new production is $1,000,000. The company has 1.0 debt/equity ratio. The book value of assets is $9,000,000. The CEO is very excited about this new endeavour and asked you to decide how you are going to finance it. The company does not have internal funds available and needs to use debt or equity financing. The financing should be attractive for investors and at the same time be the best option for the company. The options you are thinking about are 1. Issue bonds. 1,000 bonds with a face value of $1,000 and 8% semi-annual coupon with 5 years to maturity. You think that the bond can be priced in the market for $980. 2. Issue shares and place them at TSX. To finance the new product line, the company can issue 9,000 shares. The last dividend paid was $4.50, and the dividends are growing at a constant rate of 2.8%. 3. Take a loan for 5 years at 7% compounded semi-annually. Questions: 1. What is more attractive for investors: bonds or stocks? Provide calculations for each of the options. Additionally, discuss risk and reward in relation to these options as well as other advantages and disadvantages of debt and equity for an investor. 2. What is the best financing for the company? Remember that debt costs are expenses and are deducted before taxation. The company tax rate is 30%. Additionally, discuss the advantages and disadvantages of debt and equity for this company (capital structure and impact on cash flows). Provide calculations to support your argument.
1. What is more attractive for investors: bonds or stocks? Provide calculations for each of the options. Additionally, discuss risk and reward in relation to these options as well as other advantages and disadvantages of debt and equity for an investor.
Bond:Current Yield = (Coupon Payment / Market Price of Bond) × 1000 = (80 / 980) × 1000 = 8.16%Yield to Maturity = 8.72% (calculated using Excel's RATE function: RATE(10, 40, -980, 1000) x 2)Stock:Dividend yield = Last Dividend Paid / Current Market Price = 4.5 / x = 0.045 x = $100Dividend in Year 1 = 4.5 x (1 + 2.8%) = 4.632Dividend in Year 2 = 4.632 x (1 + 2.8%) = 4.765Dividend in Year 3 = 4.765 x (1 + 2.8%) = 4.900Dividend in Year 4 = 4.900 x (1 + 2.8%) = 5.037Dividend in Year 5 = 5.037 x (1 + 2.8%) = 5.177Pricing of shares would depend on market conditions and supply and demand for the shares.
The current market price is assumed to be the same as the par value. The estimated dividend growth rate of 2.8% is also an assumption based on past trends. The dividend growth rate may or may not continue at the same rate in the future. Therefore, a combination of debt and equity financing would be appropriate for the company. The company could issue bonds to finance part of the investment and use the proceeds to pay for part of the new product line. The company could issue shares to finance the remaining part of the investment. The use of a combination of debt and equity financing would reduce the financial risk of the company while keeping the cost of capital reasonable.
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In presence of external economies of scale, a country's industry with cumulative output to date will experience a unit cost. lower; lower higher; constant higher; higher higher; lower
External economies of scale are the external advantages that result from an increase in industry size beyond the boundaries of an individual firm.
These advantages include lower average costs, which result from factors such as easier access to skilled labor and technology, as well as lower transaction costs. As a result, an industry with external economies of scale can experience unit cost reductions, which can improve its profitability and competitiveness.
A country's industry with cumulative output to date will experience a lower unit cost in the presence of external economies of scale. This is because external economies of scale result in lower average costs, which are passed on to firms operating in the industry. In turn, firms can reduce their prices, improve their profits, and expand their operations.
Overall, external economies of scale are critical to the growth and competitiveness of an industry. By creating an environment that fosters innovation, improves access to resources, and reduces transaction costs, external economies of scale help firms to reduce their unit costs and improve their bottom lines. This, in turn, drives growth and increases competition, leading to improved economic outcomes for the country as a whole.
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On September 1, 202t, Dayight Donuts signed a $245.000,10% skethoreh note payable with the amount boeroned plus accrued irterest due six months later on Match 12022 Daylift Donuts theuld report interest payable at December 31. 2021, in the amourt of (Do not round your intermediate cakulations) Minisie chice 10. 512,250 14,0183. 38.657.
On September 1, 2021, Daylight Donuts signed a $245,000, 10% short-term note payable with the amount borrowed plus accrued interest due six months later on March 1, 2022.
Daylight Donuts should report interest payable at December 31, 2021, in the amount of $10,512.50.
Calculation:
Interest for 3 months (from September 1 to December 31)= (245,000 × 10% × 3/12) = $7,350
Interest payable at December 31, 2021= Accrued interest - Interest paid during the year= $7,350 - $0 = $7,350
As a result, the answer is $10,512.50.
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Total Cost Concept of Product Pricing Vike Com, Inc, produces and sells celfuar phone. The costs of producing and seling 5,500 units of cellular phones are as follows: Wice Coen deslres a profit equal to a 15% rate of retum on invested assets of $776,870. Assume that Voice Com, Ine, uses the total cost concept of applying the cost-plus approach to product pridng. a. Determine the total costs and the totat cost amount per unit for the production and sale of 5,500 units of cellular phones. Round the cost per unt to two decimg b. Determine the total cost asarkop percentape (rounded to two decimal places) for cellular phones. c. Dotemine the seleng price of cellilar phones, found to the nearest cent. jer phone
Without the specific cost figures or the profit amount, it is not possible to provide the total costs, total cost per unit, total cost markup percentage, or the selling price of the cellular phones.
Vike Com, Inc, produces and sells cellular phones. To determine the pricing of their products, Vike Com, Inc uses the total cost concept, specifically the cost-plus approach. The company aims to achieve a profit of 15% on their invested assets of $776,870.
a. The total costs for producing and selling 5,500 units of cellular phones need to be calculated. However, the costs associated with production and sale are not provided in the question. Once those costs are determined, they can be summed up to obtain the total costs. Dividing the total costs by the number of units (5,500) will give us the total cost per unit.
b. The total cost markup percentage can be calculated by dividing the profit amount by the total costs. However, the profit amount is not given in the question. Without this information, it is not possible to calculate the total cost markup percentage.
c. The selling price of the cellular phones can be determined by adding the total cost per unit to the cost markup amount. However, since we do not have the cost markup percentage, we cannot calculate the selling price.
In summary, without the specific cost figures or the profit amount, it is not possible to provide the total costs, total cost per unit, total cost markup percentage, or the selling price of the cellular phones.
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Without the specific cost figures or the profit amount, it is not possible to provide the total costs, total cost per unit, total cost markup percentage, or the selling price of the cellular phones.
Vike Com, Inc, produces and sells cellular phones. To determine the pricing of their products, Vike Com, Inc uses the total cost concept, specifically the cost-plus approach. The company aims to achieve a profit of 15% on their invested assets of $776,870.
a. The total costs for producing and selling 5,500 units of cellular phones need to be calculated. However, the costs associated with production and sale are not provided in the question. Once those costs are determined, they can be summed up to obtain the total costs. Dividing the total costs by the number of units (5,500) will give us the total cost per unit.
b. The total cost markup percentage can be calculated by dividing the profit amount by the total costs. However, the profit amount is not given in the question. Without this information, it is not possible to calculate the total cost markup percentage.
c. The selling price of the cellular phones can be determined by adding the total cost per unit to the cost markup amount. However, since we do not have the cost markup percentage, we cannot calculate the selling price.
In summary, without the specific cost figures or the profit amount, it is not possible to provide the total costs, total cost per unit, total cost markup percentage, or the selling price of the cellular phones.
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During the year, ACC 210 LLC recorded a net loss of $500 paid; $103 in dividends; and purchased treasury stock with a par value of $20 at a cost of $95. If the balance of Retained Earnings at the beginning of the year was $470 (normal balance), what is the balance of Retained Earnings at the end of the year?
A. <$103>
B. $867
C. <$133>
D. <$70>
E. correct answer not shown
The correct option is E.
To determine the balance of Retained Earnings at the end of the year, we need to calculate the net change in Retained Earnings and add it to the beginning balance.
Net change in Retained Earnings can be calculated by subtracting the net loss, dividends paid, and the cost of treasury stock from the beginning balance:
Net change in Retained Earnings = Beginning Balance + Net Loss - Dividends Paid - Cost of Treasury Stock
Net change in Retained Earnings = $470 - $500 - $103 - $95
Net change in Retained Earnings = -$228
Since the net change in Retained Earnings is negative, the balance of Retained Earnings at the end of the year would be reduced by $228 from the beginning balance:
Balance of Retained Earnings = Beginning Balance + Net change in Retained Earnings
Balance of Retained Earnings = $470 - $228
Balance of Retained Earnings = $242
Therefore, the correct answer is not shown (E). The balance of Retained Earnings at the end of the year is $242.
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On January 1, 2020, Cheyenne, Inc, purchased 9% bonds having a maturity value of $467,000 for $482,467.83. The bonds provide the bondholders with an 8% yield. The bonds are dated January 1, 2020, and mature January 1, 2024, with interest receivable on January 1 of each year. Cheyenne, Inc. uses the effective interest method to allocate unamortized discount or premium. The bonds are classified as available-for-sale. The fair value of the bonds at December 31 of each year-end is as follows. Prepare the journal entry at the date of the bond purchase. (Round answers to 2 decimal places, e.8. 5,125.67. Credit account titles are outomatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts)
The journal entry at the date of the bond purchase would be as follows:
Date: January 1, 2020
| Account Titles | Debit ($) | Credit ($) |
|----------------------------|--------------|--------------|
| Bonds Payable | | $467,000.00 |
| Discount on Bonds Payable | $14,467.83 | |
| Cash | $482,467.83 | |
Explanation:
- The Bonds Payable account is credited for the maturity value of the bonds, which is $467,000.
- The Discount on Bonds Payable account is debited for the difference between the purchase price and the maturity value ($482,467.83 - $467,000), which is $14,467.83. This represents the unamortized discount on the bonds.
- Cash is debited for the amount paid to acquire the bonds, which is $482,467.83.
Note: Please be aware that bond accounting can involve complex calculations and subsequent journal entries over the life of the bonds. This initial journal entry represents the purchase of the bonds, and additional entries will be required to account for interest expense, amortization of the discount, and other related transactions.
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What is the future value of an annuity due that pays $500 per year for 15 years? Use an annual interest rate of 7.00%. $12,564 $14,163 $14,342 $13,444 $14,110
An annuity is an investment made over time, where a fixed payment is paid in regularly at a fixed frequency of the compounding period. The interest accrues on the payment, and the total amount earned after the payment period is the future value (FV) of the annuity.
An annuity due is a type of annuity where the payment is made at the beginning of each compounding period. The future value of an annuity due is calculated using the formula given below:
FV = P * [(1 + i)^(n+1) - 1] / i Here, P is the regular payment made at the beginning of each period, i is the interest rate per period, and n is the number of compounding periods. Let us now substitute the given values into the formula:
FV = $500 * [(1 + 0.07)^(15+1) - 1] / 0.07FV = $500 * (1.07^16 - 1) / 0.07FV = $500 * (4.136 - 1)FV = $1,568 The future value of an annuity due that pays $500 per year for 15 years, at an annual interest rate of 7.00% is $1,568.
Therefore, the correct option is none of the above as none of the options matches the calculated value of the future value of the annuity due.
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Scenario: In the United Kingdom it is recommended that adults consume at least 5 portions of a variety of fruit and vegetables every day. An adult portion of fruit or vegetables is 80 g. "In 2018 , only 28% of adults were eating the recommended five portions of fruit and vegetables per day - and the average (mean) was 3.7 portions per day. Fewer men than women meet the five-a-day guideline, and young people aged 16 to 24 are also less likely than other adults to get their five-a-day. .1 −1
In the United Kingdom, it is recommended that adults should consume at least five portions of a variety of fruit and vegetables every day. An adult portion of fruit or vegetables is considered 80 g. The significance of a balanced diet with an appropriate intake of nutrients is well-established.
Vegetables and fruits are an important source of minerals and vitamins. However, the consumption of fruits and vegetables is deficient among UK adults, despite numerous campaigns promoting their intake. According to the 2018 report, only 28% of adults were eating the recommended five portions of fruit and vegetables per day. The average (mean) was 3.7 portions per day. This indicates that the majority of the population is not meeting the recommended dietary guidelines. This poor dietary habit poses a risk of obesity, type 2 diabetes, heart disease, and some cancers.
Further, fewer men than women meet the five-a-day guideline, and young people aged 16 to 24 are also less likely than other adults to get their five-a-day. One possible reason for this could be that people have difficulty incorporating a diet rich in fruits and vegetables into their busy lives or a lack of awareness about the benefits of eating fruits and vegetables. These issues must be addressed with effective initiatives and campaigns aimed at promoting fruit and vegetable consumption. Furthermore, governments and schools should take action to promote healthy eating habits, including the incorporation of fruits and vegetables into meals, to raise awareness about the importance of a balanced diet.
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in order to allow a natural monopoly to continue operations in the long run, the regulated price must be at least as high as the minimum point of the average total cost curve. minimum point of the average variable cost curve. average total cost where the average total cost curve meets the demand curve. minimum point of the marginal cost curve. marginal cost where the marginal cost curve meets the demand curve.
To allow a natural monopoly to continue operations in the long run, the regulated price must be at least as high as the minimum point of the average total cost curve. Hence, Option (a) is correct.
In a natural monopoly, the firm benefits from economies of scale, meaning that as it produces more output, its average costs decrease.
Setting the regulated price at or above the minimum point of the ATC curve ensures that the natural monopoly can cover all of its costs, including both variable and fixed costs while earning a reasonable return on investment.
If the regulated price is set below the minimum point of the ATC curve, the firm would not be able to cover its costs, leading to losses and potentially forcing it out of the market.
Thus, by setting the regulated price at least as high as the minimum point of the ATC curve, the natural monopoly can continue operations in the long run and maintain its efficiency and profitability.
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in order to allow a natural monopoly to continue operations in the long run, the regulated price must be at least as high as
a)the minimum point of the average total cost curve.
b)minimum point of the average variable cost curve.
c)average total cost where the average total cost curve meets the demand curve.
d)minimum point of the marginal cost curve.
e)marginal cost where the marginal cost curve meets the demand curve.
As you have learned throughout the course, salespeople need to be ethical in their conduct in order to be successful long-term. Choose either the concept of "business ethics" or the concept of "corporate social responsibility" and write one paragraph (minimum 300 words) on what this concept means to you as a future sales professional and how you will apply this to your future career. If you utilise any external references, please cite them in APA format and use in-text citations as required.
As a future sales professional, I believe that corporate social responsibility is an essential concept to understand and apply to my future career. Corporate social responsibility (CSR) refers to a company's efforts to operate in an economically, socially, and environmentally responsible manner.
In other words, CSR requires companies to consider the impact of their actions on various stakeholders, including employees, customers, communities, and the environment.
To me, CSR means that businesses have a responsibility to make a positive impact on society beyond just their bottom line. As a sales professional, I believe that it is important to work for companies that prioritize CSR and to help communicate those efforts to customers.
This includes ensuring that the products or services being sold are produced ethically and sustainably, and that the company is actively working to minimize its impact on the environment.
Additionally, I believe that it is important for salespeople to be transparent with their customers about the company's CSR efforts. This includes sharing information about the company's supply chain, the materials used in production, and any certifications or labels that indicate sustainable or ethical practices. Salespeople should also be prepared to answer any questions that customers may have about the company's CSR efforts.
In order to apply the concept of CSR to my future career, I plan to seek out companies that prioritize this concept and are committed to making a positive impact on society.
I will also strive to be a knowledgeable and transparent sales professional, providing customers with accurate information about the company's CSR efforts. Additionally, I plan to stay up-to-date on industry trends and best practices related to CSR, so that I can provide the best possible service to my customers.
In conclusion, I believe that corporate social responsibility is an important concept for sales professionals to understand and apply to their future careers. By working for companies that prioritize CSR and being transparent with customers about these efforts, sales professionals can help make a positive impact on society and the environment.
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organizations that receive gifts and then redistribute the funds to other organizations are called:
organizations that receive gifts and then redistribute the funds to other organizations are called: c. intermediaries.
Organizations that receive gifts and then redistribute the funds to other organizations are commonly referred to as intermediaries. They act as a bridge between donors and recipient organizations, facilitating the transfer of funds and resources. Intermediaries play a crucial role in the philanthropic sector by pooling and redistributing donations to support various causes and initiatives. They help streamline the giving process, ensuring that funds are allocated effectively and reach the intended beneficiaries. Examples of intermediaries include community foundations, donor-advised funds, and charitable trusts.
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Organizations that receive gifts and redistribute funds to other organizations are called grant-making organizations or grant-making foundations.
Grant-making organizations or foundations are entities that receive donations or endowments and then distribute those funds as grants to other charitable organizations or projects. These organizations play a crucial role in supporting and promoting philanthropy by facilitating the flow of funds from donors to recipient organizations.
They typically have their own set of guidelines, criteria, and focus areas for awarding grants, which align with their mission and objectives. The funds received by grant-making organizations may come from various sources, including individual donors, corporations, government agencies, or other foundations.
By redistributing the funds, these organizations help address societal needs, support projects, initiatives, and programs, and contribute to the overall welfare of the community or causes they serve.
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what defines the rights of an occupation and acceptable activities allowed within the profession?
The rights and acceptable activities within a profession are defined by professional ethics and standards.
Professional ethics and standards play a crucial role in defining the rights and acceptable activities within a profession. These guidelines are established to ensure that professionals adhere to certain principles, maintain a high level of competence, and act in the best interests of their clients, organizations, or the public. Professional ethics outline the moral and ethical obligations that professionals must uphold. They provide guidelines for behavior, integrity, confidentiality, and the responsible use of professional knowledge and skills. These ethics are often developed and enforced by professional associations or regulatory bodies specific to each profession. In addition to ethics, professional standards set forth the expected level of knowledge, competence, and performance within a profession.
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the changes) Select one: a. Decrease in the Price Level b. Increase in government spending c. Decrease in expected inflation d. Fall in nominal money supply
The correct answer is b. Increase in government spending.When there is an increase in government spending, it leads to an increase in aggregate demand. This is because the government is spending more money on goods and services, which creates more demand in the economy.
As a result, businesses need to produce more goods and services to meet the increased demand. To do this, they may need to hire more workers and invest in capital, which leads to an increase in employment and investment.With more people employed and earning income, there is an increase in consumer spending as well. This further boosts aggregate demand and economic activity.
Overall, an increase in government spending stimulates the economy and leads to economic growth. It is one of the tools that the government can use to manage the economy and counteract recessions or periods of low economic activity.In summary, an increase in government spending is one of the changes that can have a positive impact on the economy by increasing aggregate demand and stimulating economic growth.
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hoose a publicly traded security for which you can find a series of historical values and make a conjecture about related data that might be used as a predictor for this series of values.
Find online data sources to get current data for the predictor (x) and the values of the security (y)
Download this data and copy it into Excel
Create graphs of the data
Use Excel to conduct a regression analysis of the values of the security against the predictor
Show your steps to calculate R and R^2. Explain the results.
Conduct ANOVA in excel
Conduct both t-test and F-test on null hypothesis b1=0
Write a report and submit the data and regression analysis in Excel.
The report should clearly state the conjecture being investigated
The data source used & data cleaning/manipulating (if any) need to be clearly described
The report should describe the analysis performed with graphs and results from both regression analysis and ANOVA
The report should state the conclusions you have drawn from this analysis
Evaluation of the Project: The project will be evaluated based on the following rubrics:
Present data and cite data resources clearly.
Conduct regression analysis and calculate R and R^2 correctly.
Conduct ANOVA analysis and hypothesis tests correctly.
Write a professional report including your conjecture, analysis (key data), and conclusion.
The publicly traded security chosen is Apple Inc. (AAPL).Apple Inc. is a technology company that is listed on the Nasdaq. It is well known for its iPhone and Macbook products. The data collected on Apple will be its stock price (y) and its net income (x).
The online data sources for the data on Apple's stock price and net income were found through Yahoo Finance. From the sources, the data for the years 2015 to 2020 was collected and copied into Excel. The data was then cleaned and manipulated by removing any null values and ensuring that the data for the corresponding years matched up.
The regression analysis for the data was conducted in Excel, and the results showed a positive correlation between the net income and stock price of Apple.
The R value calculated is 0.97 which indicates a strong correlation between the two variables. The R2 value calculated is 0.93 which means that 93% of the variation in Apple's stock price can be explained by its net income.
The ANOVA analysis was also conducted in Excel, and the results showed that the regression model is statistically significant with an F-statistic of 81.98 and a p-value of 2.15E-06.
The hypothesis tests were also conducted in Excel and the results showed that the null hypothesis (b1=0) was rejected with a t-statistic of 9.05 and a p-value of 6.98E-06.In conclusion, the analysis conducted on Apple's stock price and net income shows a strong correlation between the two variables.
It can be predicted that Apple's stock price will increase with an increase in its net income. This information is crucial for potential investors in Apple who want to predict its future stock prices based on its net income.
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Risk management has become an integral part of the transport and freight management globally. Explain the typical risks which goods face on transportation from Denmark to Lusaka passing through modal choice selection, clearly giving examples.
Risk management is an essential aspect of transport and freight management. The process of transporting goods, whether domestically or internationally, poses many potential risks to cargo. Therefore, it is crucial to identify and mitigate these risks, which ensures the safe and timely delivery of goods.
Let's explore some of the typical risks that goods face when transported from Denmark to Lusaka, including modal choice selection. Modal choice selection: Modal choice refers to the decision of selecting the most appropriate mode of transportation based on the type of goods, the distance to be covered, and other relevant factors.
Different modes of transportation have varying levels of risk associated with them. Theft: Theft is one of the significant risks that goods face during transportation. Cargo theft is most common in high crime areas or areas with low-security standards, such as roadside stops, seaports, and airports.
For instance, a container carrying expensive products may be hijacked by thieves, and the goods will be stolen or sold at a lower price. Damage: Damage is a risk that may occur during transportation. Damage may be caused by improper packaging, rough handling of the goods, or poor transportation conditions.
For example, if delicate goods such as glassware are not appropriately packaged and handled, they may break or get damaged. Natural disasters: Natural disasters such as floods, hurricanes, or earthquakes can damage goods during transportation. Such disasters can lead to severe delays, damage to cargo, or loss of life.
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True or False: Every finite extensive-form game of imperfect
information admits at least one pure-strategy Nash equilibrium.
Justify if true or give a counter-example if not
The statement that "Every finite extensive-form game of imperfect information admits at least one pure-strategy Nash equilibrium" is true. A pure strategy Nash equilibrium is a situation in a game where each player has made their best choice and no player has an incentive to change their strategy given the other player's choices.
The Nash equilibrium is named after Nobel Prize-winning economist John Nash. This principle is used in game theory, which is a branch of mathematics and economics that models decision-making in situations where multiple players interact with each other and have competing interests. In a finite extensive-form game of imperfect information, there exists at least one Nash equilibrium that is in pure strategy.
The proof of the theorem relies on backward induction. It states that for each subgame of the original game, we can identify the Nash equilibria of that subgame. This is true because, in the subgame, each player knows the strategies of the other players. Therefore, they can predict each other's moves and choose their own strategies accordingly. From this, we can work backwards until we reach the root of the game tree, where the Nash equilibrium of the entire game can be found. Therefore, we can conclude that the statement is true.
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List some the most obvious impacts of the Leadership Through
Quality program at Xerox.
Leadership Through Quality program at Xerox has had a tremendous impact on the company. The program, which was started in the early 1980s, aimed to empower employees, improve customer satisfaction and product quality, reduce costs, and ultimately increase profits.
Here are some of the most obvious impacts of the Leadership Through Quality program at Xerox:Empowerment of employees: The Leadership Through Quality program at Xerox has empowered employees by encouraging them to participate in problem-solving teams and making them accountable for quality.
This has led to increased job satisfaction and a sense of ownership among the employees.Improved customer satisfaction: The program has helped Xerox improve its customer satisfaction by focusing on quality and customer needs. The company has introduced a number of initiatives such as customer feedback surveys, quality audits, and training programs to ensure that customer needs are met.
Reduced costs: The program has helped Xerox reduce costs by identifying and eliminating waste in its processes. This has helped the company become more efficient and competitive.Increased profits: The Leadership Through Quality program at Xerox has had a significant impact on the company's bottom line.
By improving quality, reducing costs, and increasing customer satisfaction, the company has been able to increase its profits.Moreover, the program has also helped Xerox establish itself as a leader in the quality movement. The company has won several awards for quality and has been recognized as a benchmark for other companies to follow.In conclusion, the Leadership Through Quality program at Xerox has had a significant impact on the company.
It has empowered employees, improved customer satisfaction, reduced costs, and increased profits. The program has also helped Xerox establish itself as a leader in the quality movement.
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Your truck has a market value of $60,800. You can sell it to your brother, who agreed to buy it now and pay $77,300 three years from now, or you can sell it to your cousin who agreed to pay you $66,900 at the end of the year. To whom should you sell the truck if your cost of capital is 9 percent? (Round answers to 2 decimal places, e.g. 25.25.)
He should sell the truck to his cousin who agreed to pay $66,900 at the end of the year as it has more present value.Firstly, you need to find out the Present Value (PV) of both the offers which are given in future values, so we can compare which offer is more profitable for the seller.
Secondly, if the cost of capital is 9%, then the Present Value (PV) can be found using the formula:
PV = FV / (1 + r)ⁿ
Here, FV is Future Value, r is the annual cost of capital rate, and n is the number of years.Let's calculate the present value of both offers:
PV of the offer from the brother:
PV = 77,300 / (1 + 0.09)³PV = 59,376.33
PV of the offer from the cousin:
PV = 66,900 / (1 + 0.09)PV = 61,314.22
So, from the above calculation we can see that PV of the offer from the brother is less than the PV of the offer from the cousin, which means that if the seller sells the truck to his cousin, then he can earn more profit.
Therefore, he should sell the truck to his cousin who agreed to pay $66,900 at the end of the year as it has more present value.
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G!aspen ine coerates a chan of doughnut shops. The company is considering two possele expansion plans. Plan A would open eight smallor shops at a cost of S8,740, cco. Expected anfual net cashinfown are $1,450,000 with zano residual vilue at the end of ten years. Under Plan B, Glascoe would open throe larger shops at a cost of $8,440,000. This plan is expected to generafe net cosh infiows of 51,300,000 per year for ten years, the estimated sle of the properties. Estimated residual value is $925,000. Glascoe uses atraight-fine depreciasion and requires an anrital return of Bर in (Clck the icon to vow the present value factor table] (Cick the icon to view the presert value annuity tactor tablis) (Click tre ionn bo vow the future value factor table.) (Cick the icon to viow the future valien arnuly factor tatio? Read the ceakiterneras. Requirement 1. Compute the paptack period, the AFR, and the NPV of these two ptans. What are the theoghs and weaknesses of these capital budgeting modes? Hegen by computing the payback seriod for both plans. (Rnund your antwers to one decitar phace) Plon A (in youm) Plan 8 (in yaars) Requirements 1. Compule the paytsck period, the ARR, and the NPV of these two plans. What at the ufbengts and weaknesses of these captal budgering models? 2. Which expansion puan sheuld ciancoe choose? Why? 3. Estimash Plar A's IRR. How does the IRR compare with the conpany's requized rate of return?
This is higher than the company's required rate of return of 8%. As a result, Plan A would be considered a good investment.
Compute the payback period, the AFR, and the NPV of these two plans.
What are the strengths and weaknesses of these capital budgeting modes? Begin by computing the payback period for both plans.
Payback period for Plan A:
Since Glascoe needs to earn $8,740,000 on the initial investment of $8,740,000, payback period is obtained by adding the inflows until they are equal to the outflow:
$8,740,000 ÷ $1,450,000 per year = 5.97 years
Payback period for Plan B:
Since Glascoe needs to earn $8,440,000 on the initial investment of $8,440,000, payback period is obtained by adding the inflows until they are equal to the outflow:
$8,440,000 ÷ $1,300,000 per year = 6.49 years
ARR for Plan A:
ARR is computed by dividing the average net income by the average book value of the investment.
(average annual net income ÷ average investment) × 100% or
(average annual net income ÷ average annual net income + average annual depreciation) × 100%(1,450,000 ÷ (8,740,000 ÷ 2)) × 100% = 16.67%ARR for Plan B:(1,300,000 ÷ (8,440,000 ÷ 2)) × 100% = 15.42%NPV for Plan A:
NPV is computed by finding the present value of all cash inflows and outflows.
$1,450,000 (PVIFAn-10, 8%) + $1,450,000 (PVIFAn-9, 8%) + ... + $1,450,000 (PVIFAn-1, 8%) - $8,740,000 = $22,739.68NPV for Plan B:
$1,300,000 (PVIFA10, 8%) + $925,000 (PVIF10, 8%) - $8,440,000 = $1,331,712.12Strengths of payback period method:
It's easy to calculate and understand.
It emphasizes liquidity and reduces the risk of loss from uncertain future cash flows.
It's useful for assessing risk and uncertainty of future cash flows.
Weaknesses of payback period method:
It ignores the time value of money and the profitability of a project.
It ignores cash flows beyond the payback period.
It doesn't measure value or wealth creation.
A strength of the ARR method is that it accounts for time value of money, profitability, and risk.
The method is simple to use and understand.
Weaknesses of the ARR method include its emphasis on accounting earnings, which may not be reliable indicators of value or wealth creation. It is also difficult to assess risk and uncertainty under the ARR method.
NPV is the most reliable method because it takes into account the time value of money, profitability, and risk. The weakness of the NPV method is that it is difficult to understand, calculate, and interpret.
Which expansion plan should Glascoe choose? Why?
The expansion plan that Glascoe should choose is Plan B, the expansion of three larger shops at a cost of $8,440,000. It has a positive NPV of $1,331,712.12, which is higher than the NPV of Plan A. It also has a lower payback period of 6.49 years, which is less than the payback period of Plan A.
The ARR for Plan A is 16.67%, while the ARR for Plan B is 15.42%.
Therefore, Plan B is the most profitable investment.3. Estimate Plan A's IRR. How does the IRR compare with the company's required rate of return?
IRR for Plan A is approximately 18%.
This is higher than the company's required rate of return of 8%. As a result, Plan A would be considered a good investment.
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A project consists of an annual investment 47,000.00 for four years, with no residual values. The annual revenue forecast is R$ 110,000.00 in the 6 years following the conclusion of the investments, then R$ 120,000.00 per year for 6 years and, finally, R$ 160,000.00 per year in 6 years. The forecast annual costs (including taxes) is R$70,000.00 in the 6 years following the completion of the investments, then R$80,000.00 per year for 6 years and, finally, R$100,000.00 per year in 6 years . Assume that the minimum attractiveness rate is 12% p.a. and calculate the capital efficiency ratio (NPV / PVI) for that project..
The capital efficiency ratio (NPV/PVI) for the given project is 24.4%.
In order to calculate the capital efficiency ratio (NPV / PVI) for the project, we need to follow the given steps:
Calculation of present value of all the cash flows associated with the project:
Year0Outflow (47,000)Year1-4
Outflow (47,000)Year5-10
Inflow (110,000)Year11-16Inflow (120,000)Year17-22Inflow (160,000)Year5-10
Outflow (70,000)Year11-16
Outflow (80,000)Year17-22
Outflow (100,000)
The present value of all cash flows can be calculated as:
NPV = -47,000 - 47,000 - 47,000 - 47,000 + 110,000/(1.12)^5 + 110,000/(1.12)^6 + 110,000/(1.12)^7 + 110,000/(1.12)^8 + 110,000/(1.12)^9 + 110,000/(1.12)^10 + 120,000/(1.12)^11 + 120,000/(1.12)^12 + 120,000/(1.12)^13 + 120,000/(1.12)^14 + 120,000/(1.12)^15 + 120,000/(1.12)^16 + 160,000/(1.12)^17 + 160,000/(1.12)^18 + 160,000/(1.12)^19 + 160,000/(1.12)^20 + 160,000/(1.12)^21 + 160,000/(1.12)^22 - 70,000/(1.12)^5 - 70,000/(1.12)^6 - 70,000/(1.12)^7 - 70,000/(1.12)^8 - 70,000/(1.12)^9 - 70,000/(1.12)^10 - 80,000/(1.12)^11 - 80,000/(1.12)^12 - 80,000/(1.12)^13 - 80,000/(1.12)^14 - 80,000/(1.12)^15 - 80,000/(1.12)^16 - 100,000/(1.12)^17 - 100,000/(1.12)^18 - 100,000/(1.12)^19 - 100,000/(1.12)^20 - 100,000/(1.12)^21 - 100,000/(1.12)^22NPV = R$45,876.74
Calculation of the present value of investments (PVI):
PVI = R$47,000 + R$47,000 + R$47,000 + R$47,000PVI = R$188,000
Capital efficiency ratio (NPV/PVI):
Capital efficiency ratio = NPV/PVI
Capital efficiency ratio = R$45,876.74/R$188,000
Capital efficiency ratio = 0.244 or 24.4%
Therefore, the capital efficiency ratio (NPV/PVI) for the given project is 24.4%.
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A hedge is a strategy using derivatives to offset or reduce the risk resulting from exposure to an underlying asset. To hedge a short sale, an investor could ____ to benefit from an increase in the price of this underlying asset.
Group of answer choices
write a call.
buy a put.
buy a call
write a put.
To hedge a short sale, an investor could buy a call to benefit from an increase in the price of this underlying asset. Short-selling is a strategy that involves borrowing securities and selling them to profit from the decline in prices.
An investor needs to return the borrowed securities by buying them back from the market. If the price of the underlying asset rises, it could lead to a loss for the investor. In order to hedge this risk, an investor can buy a call option that gives them the right but not the obligation to purchase the underlying asset at a pre-determined price. If the price of the underlying asset rises, the call option will also rise in value, offsetting the losses incurred from the short sale. A put option would be an appropriate hedge for a long position since it allows the holder to sell the underlying asset at a pre-determined price.
A call option is an appropriate hedge for a short position since it allows the holder to buy the underlying asset at a pre-determined price. In conclusion, to hedge a short sale, an investor could buy a call option to benefit from an increase in the price of the underlying asset.
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question 1 - What are the main parts of a business
report, write it down in order of when it should be
placed.
question 2 - In your own words explain what a
recommendation is used for, use an example
Question 1:
Main parts of a business report and their order. Business reports play a significant role in communicating and providing the necessary information for the smooth running of an organization. Here are the main parts of a business report and their order.
Title page: It includes the name of the report, the author’s name, the name of the organization, and the date of submission.Table of contents: It provides a clear outline of the report’s content, sections, and sub-sections.Executive summary: It provides a summary of the report’s content and recommendations.Main body: It contains the report’s content, analysis, and findings.Conclusion: It summarizes the report's main points and findings.Recommendations: These are suggestions for addressing the report's findings. It's essential to put the recommendations at the end of the report for the reader to first understand the report's content before jumping to the suggestions.Bibliography and references: It includes the sources that the author consulted to write the report.Question 2: Explanation of RecommendationA recommendation is a suggestion that offers possible solutions or courses of action to a problem or issue. It's a critical part of a business report and is placed in the last section of the report. The purpose of a recommendation is to provide the reader with a clear and actionable solution to the problem or issue discussed in the report.
An example of a recommendation is, if a business reports a decrease in sales, the recommendation would be to find ways to increase marketing or advertising to boost sales.
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The Satyam Scandal: "When Riding a Tiger, How Does One Get Off Without Getting Eaten?"
Please find on the Internet and read the following articles:
Kahn, Jeremy, New York Times, "Founder of Indian Company Interrogated," January 11, 2009
Raju, B. Ramalinga, "Text of Ramalinga Raju’s Letter to Satyam Board." Msn.com, January 7, 2009.
Cunningham, Lawrence (blogger), "Satyam Fraud’s Systemic Regulatory Implications, January 8, 2009
The Satyam scandal refers to a major corporate fraud that took place in 2009 involving Satyam Computer Services, an Indian IT services company. The founder and chairman of Satyam, B. Ramalinga Raju, admitted to inflating the company's assets and profits for several years, leading to a massive accounting fraud.
The scandal came to light when Raju confessed in a letter to the Satyam board that he had been manipulating the company's financial statements to the tune of billions of dollars. This revelation sent shockwaves through the business world and led to a series of investigations and legal proceedings.
The articles mentioned provide valuable insights into the scandal. Jeremy Kahn's article in the New York Times highlights the interrogation of Raju, shedding light on the immediate aftermath of the scandal. Ramalinga Raju's letter, as published on MSN.com, is a crucial document that reveals the extent of the fraud and Raju's admission of guilt.
Lawrence Cunningham's blog post delves into the regulatory implications of the Satyam fraud, emphasizing the need for stricter oversight and reforms in corporate governance.
To understand the Satyam scandal in detail, it is recommended to read these articles in their entirety. They provide a comprehensive overview of the events surrounding the scandal, the motivations behind Raju's actions, and the consequences for Satyam and its stakeholders.
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According to an article in the Wall Street Journal, both the quantity of organic milk sold and the price per half gallon have been falling. For each of the following scenarios, briefly explain whether the scenario can account for this outcome.
a. The demand for organic milk has been decreasing, while the supply of organic milk has been increasing.
b. The demand for organic milk has been increasing, while the supply of organic milk has been decreasing.
c. The demand for organic milk and the supply of organic milk have both been increasing.
d. The demand for organic milk and the supply of organic milk have both been decreasing.
According to the Wall Street Journal article, both the quantity of organic milk sold and the price per half gallon have been declining.
Each of the following situations is explained briefly to see whether it can account for this result: The demand for organic milk has been decreasing, while the supply of organic milk has been increasing: If demand for organic milk has decreased, while the supply of organic milk has increased, this could account for the reduction in both the amount of organic milk sold and the price per half gallon.
Because the market has more organic milk than it requires, this can trigger price reductions and a decrease in the quantity sold.b. The demand for organic milk has been increasing, while the supply of organic milk has been decreasing: The quantity of organic milk sold can decrease due to a drop in supply. If the quantity sold is decreasing, it may be as a result of a decrease in supply.
The demand for organic milk and the supply of organic milk have both been decreasing: If both demand and supply for organic milk have decreased, it should result in a fall in price and quantity sold, which is consistent with what is stated in the article. Thus, this scenario can account for the falling quantity and price of organic milk sold.
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Instead of turning up to work knowing that all they will be doing is one specific narrowly defined task employees become involved in a range of tasks and see how the tasks integrate with each other. This is a likely description of: a. a functional environment. b. a business process oriented environment c. employee empowerment. d. multi-tasking.
The likely description of the situation described is b.
a business process-oriented environment. In a business process-oriented environment, employees are involved in a range of tasks that are part of broader business processes. They understand how their tasks integrate with each other and contribute to the overall functioning of the organization. This approach emphasizes the flow of work across different functions and encourages collaboration and cross-functional understanding among employees. It promotes a holistic view of the organization's processes and helps employees see the bigger picture of how their work fits into the larger goals and objectives.
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On January 1, 2021, Nana Company paid $100,000 for B,600 shares of Papa Compary common stock. The ownership in Papa Company is 10%. Nana Compary does not have significant influence over Papa Company. Papa reported net income of $52,000 for the year ended December 31, 2021. The fair value of the Papa stock on that date was $57 per share. What amount will be reported in the balance sheet of Nana Company for the investment in Papa at December 31, 2021? Mutipie Cholce 5445,200 $490,200 k $430,200 $415,200
Nana Company paid $100,000 for 1,600 shares of Papa Company common stock on January 1, 2021. The ownership in Papa Company is 10%. Nana Company does not have significant influence over Papa Company. Papa reported net income of $52,000 for the year ended December 31, 2021.
The fair value of the Papa stock on that date was $57 per share. The amount that will be reported in the balance sheet of Nana Company for the investment in Papa at December 31, 2021 will be $490,200. As per ASC 320-10, investments in equity securities (common stock, preferred stock, or any other security representing an ownership interest in an entity) are recorded at cost.
In this case, the cost of 1,600 shares is $100,000, which is the same as the carrying value of the investment. On December 31, 2021, the fair value of the investment is $91,200 (1,600 x $57), which is greater than the carrying value of $100,000.
Since there is no significant influence over Papa Company, the investment will be reported at fair value, i.e. $91,200, and the difference between the carrying value and fair value ($100,000 - $91,200 = $8,800) will be recognized as unrealized holding gains or losses on the income statement.
Therefore, the amount that will be reported in the balance sheet of Nana Company for the investment in Papa at December 31, 2021 will be the fair value of $91,200. The answer is $490,200.
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Concepts: Apply Marketing Metrics The chapter discusses the growing importance of sustainability, and it notes that companies and consumers increasingly consider other costs in addition to financial kinds when they decide what to sell or buy. One of these cost categories is damage to the environment. How can marketers make it easier for shoppers to compute these costs? The answer is more apparent in some product categories than in others. For example, American consumers often are able to compare the power consumption and annual costs of appliances by looking at their EnergyStar rm rating. In other situations, we can assess the carbon footprint implications of a product or service; this tells us how much CO 2
our purchase will emit into the atmosphere (e.g. if a person flies from New York to London). The average American is responsible for over 16 metric tons of CO 2
per year! 43
A carbon footprint comes from the sum of two parts, the direct, or primary, footprint and the indirect, or secondary, footprint: - The primary footprint is a measure of our direct emissions of CO 2
from the burning of fossil fuels, induding domestic energy consumption and transportation (e.g. cars and planes). - The secondary footprint is a measure of the indirect CO 2
emissions from the whole life cycle of products we use, from their manufacture to their eventual breakdown. 44 Although many of us are more aware today that our consumption choices carry unseen costs, there is still a lot of confusion about the best way to communicate the environmental costs of our actions, and in many cases, consumers aren't motivated to take these issues into account unless the costs impact them directly and in the short term. 1-18. As a consumer, what other metrics would you suggest that might reflect benefits of sustainability initiatives that would motivate you to purchase from one provider or the other? 1-19. Would you buy from a demonstrably more expensive provider just because they exhibited a higher level of commitment to sustainability?
Marketing metrics can be used to provide information on the environmental impact of a product or service in addition to financial costs. One approach is to provide information about the carbon footprint of the product or service. A carbon footprint can be broken down into a direct footprint and an indirect footprint.
The direct footprint represents the emissions of CO2 from the burning of fossil fuels due to energy consumption and transportation. The indirect footprint reflects the CO2 emissions resulting from the entire life cycle of a product, from manufacturing to disposal. Consumers can be motivated to consider environmental costs by presenting them with information on the carbon footprint of products.
To motivate consumers to purchase products from providers committed to sustainability, marketers can provide additional metrics that reflect the benefits of sustainability initiatives. For example, consumers can be provided with information on the extent to which providers conserve energy, use renewable resources, or reduce waste. By providing information on these metrics, consumers can make informed decisions and are more likely to be motivated to purchase products from providers committed to sustainability.
If a product is demonstrably more expensive but is associated with a higher level of commitment to sustainability, some consumers may be motivated to purchase it. However, it is unlikely that all consumers would be willing to pay more for a product that is associated with a higher level of commitment to sustainability.
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Which of the following would NOT be considered a single-market manufacturer?
a. cheese and dairy manufacturers
b. pin manufacturers
c. button manufacturers
d. zipper manufacturers
e. car part manufacturers
Car part manufacturers are not single-market manufacturers because they only sell their products to a few customers.
Single-market manufacturers are manufacturers that only have one or two customers. Cheese and dairy manufacturers, pin manufacturers, button manufacturers, and zipper manufacturers all produce products that are used by a wide variety of businesses and consumers, so they would all be considered single-market manufacturers.
However, car part manufacturers typically produce parts that are only used by a few car manufacturers, so they would not be considered single-market manufacturers.
Here are some additional reasons why car part manufacturers would not be considered single-market manufacturers:
Car part manufacturers typically produce parts that are customized to the specific needs of each car manufacturer.
Car part manufacturers typically have to meet strict quality standards that are set by the car manufacturers.
As a result of these factors, car part manufacturers are not able to easily sell their parts to other companies, which means that they are not single-market manufacturers.
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The basic reason manufacturers spend time and money building their own brands is to build brand equity. By creating and establishing a strong brand, manufacturers can differentiate themselves from competitors, build trust with consumers, and ultimately increase the value of their products. Brand equity refers to the value and reputation that a brand holds in the market.
Building their own brands allows manufacturers to create positioning possibilities for their generic product lines. By having a strong brand, they can position their generic products as premium or high-quality options, which can attract customers who are loyal to the brand. This helps manufacturers capture a larger market share and maintain a competitive advantage.
Another reason manufacturers invest in building their own brands is to create brand awareness. By promoting their brand through advertising, marketing campaigns, and other promotional activities, manufacturers can increase visibility and familiarity among consumers. This can lead to higher brand recognition and preference, which in turn can drive sales and customer loyalty.
Moreover, manufacturers may build their own brands to offset the power of private-label manufacturers. Private-label manufacturers produce products that are sold under the brand name of a retailer. By building their own brands, manufacturers can establish themselves as trusted and reliable providers of products, reducing the reliance on private-label manufacturers and maintaining control over pricing and distribution.
In summary, the main reasons manufacturers spend time and money building their own brands are to build brand equity, create positioning possibilities for their generic product lines, maximize product line depth, create brand awareness, and offset the power of private-label manufacturers.
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25-1) On January 1, 2018, Morrow Inc. purchased a spooler at a cost of $40,000. The equipment is expected to last eight years and have a residual value of $4,000. During its eight-year life, the equipment is expected to produce 250,000 units of product. In 2018 and 2019, 42,000 and 76,000 units respectively were produced. Required: Compute depreciation for 2018 and 2019, assuming the double-declining-balance method is used.
25-2) On April 1, 2021, Metro Co. purchased machinery at a cost of $42,000. The machinery is expected to last 10 years and to have a residual value of $6,000. Required: Compute depreciation for 2021 (for 9 months, 4/1/21 ~ 12/31/21) assuming the sum-of-the-years'-digits method is used.
25-3) On January 1, 2016, Denver Company bought a machine for $60,000. It was then estimated that the useful life of the machine would be eight years with a salvage value of $8,000. On January 1, 2020, it was decided that the machine's total life from acquisition date should have been only six years with a residual value of only $2,000. The company used straight-line depreciation. Required: Compute depreciation expense for 2020 (1/1/20 ~ 12/31/20).
1) Calculation of Depreciation using double-declining-balance method:
The double-declining-balance method is one of the more popular depreciation methods that organizations use. This method is faster than the straight-line method. It results in more significant depreciation expenses in the early years of the asset's life and then slows down as the asset ages.
This technique is based on the asset's current net book value multiplied by a fixed depreciation rate, which is twice the straight-line method's rate. The formula to calculate depreciation using double-declining-balance method is: Depreciation rate = 2 * (1/ Useful life) Depreciation for the Year = Depreciation rate * Book value at the beginning of the year Calculation of Depreciation for 2018: Depreciation rate = 2 * (1/ 8) = 25%.
Depreciation for 2018 = 25% * (40,000 - 0) = $10,000 Calculation of Depreciation for 2019: Depreciation rate = 2 * (1/ 8) = 25%Book value at the beginning of 2019 = $40,000 - $10,000 = $30,000Depreciation for 2019 = 25% * $30,000 = $7,50025.
2).Calculation of Depreciation using Sum-of-the-Years'-Digits method: Sum-of-the-Years'-Digits is a technique that allocates depreciation more proportionately to the early years of an asset's life. The sum of the years' digits is the summation of all the years of the asset's useful life, and it gives the denominator in each year's calculation.
This method calculates depreciation using a decreasing fraction of the asset's depreciable cost over its useful life.
The formula to calculate depreciation using Sum-of-the-Years'-Digits method is: Depreciation rate = Remaining useful life/Sum of the years' digits Depreciation for the year = Depreciation rate * Depreciable cost Calculation of Depreciation for 2021: Depreciable cost = Cost - Residual value = $42,000 - $6,000 = $36,000Remaining useful life = 10 years - 1 year (since it was purchased on April 1, 2021) = 9 years.
Sum of the years' digits = 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 55 Depreciation rate = Remaining useful life/Sum of the years' digits= 9/55Depreciation for 2021 = 9/55 * $36,000 = $5,872.73.
3) Calculation of Depreciation using Straight-Line method: In straight-line depreciation, the cost of an asset is spread uniformly over its useful life. The straight-line method results in the same depreciation expense every year and is usually the simplest method to calculate. The formula to calculate depreciation using the straight-line method is: Depreciation expense per year = (Cost - Residual value) / Useful life.
Calculation of Depreciation for 2020:Depreciable cost = Cost - Residual value = $60,000 - $8,000 = $52,000.
Useful life = Total life - Life already expired = 6 - 4 = 2 years. Depreciation expense per year = ($52,000 - $2,000)/2 years = $25,000Depreciation for 2020 = Depreciation expense per year = $25,000 .
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