A price of $12 for college students and $18 for everyone else. The correct option is d.
In this case, there are two different groups of customers: college students and everyone else.
To determine the prices that would be charged under third degree price discrimination, we need to find the profit-maximizing prices for each group. This means setting marginal revenue equal to marginal cost for each group.
For college students:
Marginal revenue = change in total revenue / change in quantity
MR = (P - 12 + 2Q)(-2) = -2P + 28
Setting MR = MC:
-2P + 28 = 2
-2P = -26
P = 13
So the price charged to college students would be $13.
For everyone else:
Marginal revenue = change in total revenue / change in quantity
MR = (P - 18 + 2Q)(-2) = -2P + 38
Setting MR = MC:
-2P + 38 = 2
-2P = -36
P = 18
So the price charged to everyone else would be $18.
Therefore, the correct answer is d) A price of $12 for college students and $18 for everyone else.
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In many ways, a limited liability company can be thought of as a cross between a. a corporation and a franchise. b. a joint venture and a partnership. c. a corporation and a partnership d. a sole proprietorship and a social enterprise.
A limited liability company (LLC) can be thought of as a cross between a corporation and a partnership
LLC combines the limited liability protection of a corporation, where owners are not personally responsible for the company's debts and liabilities, with the pass-through taxation benefits and operational flexibility of a partnership.
A business arrangement where several people share ownership is a partnership. This can be one, two, or more people who decide they wish to start a business and proceed legally. A corporation is a separate entity with a distinct legal and financial framework.
Why are partnerships different from corporations?How the owners are kept apart from the firm is the key distinction between a corporation and a partnership. Contrary to corporations, which are distinct from their owners, partnerships allow owners to share in the risks and profits of the business. When two or more people want to run a business together, they create a partnership.
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If I save $100 per year for 30 years, earning 3%, how much will I have at the end of 30 years? If the interest rate is 5%, how long will it take to accumulate the same amount?
How much interest was accumulated in each of the previous two exercises?
If $100 per year is saved for 30 years earning 3% interest rate, at the end of 30 years the accumulated amount would be $4,274.68.
If the interest rate is 5%, it take 22.14 years to accumulate the same amount.
Interest accumulated at 3% interest rate is $1,274.68 and at 5% interest rate is $2,060.68.
To calculate the future value of your savings and the interest accumulated, we will use the future value of a series formula, which is:
FV = P * [(1 + r)^n - 1] / r
Where FV is the future value, P is the payment ($100), r is the interest rate (3% or 5%), and n is the number of periods (30 years).
1. If you save $100 per year for 30 years, earning 3%, the future value will be:
FV = 100 * [(1 + 0.03)^30 - 1] / 0.03
FV ≈ $4,274.68
2. To find out how long it will take to accumulate the same amount at a 5% interest rate, we will rearrange the formula:
n = log[(FV * r + P) / P] / log(1 + r)
Using the previous future value of $4,274.68 and a 5% interest rate:
n = log[(4,274.68 * 0.05 + 100) / 100] / log(1 + 0.05)
n ≈ 22.14 years
3. To find the interest accumulated in each case, we will subtract the total amount of money saved without interest from the future value:
Interest accumulated at 3%:
$4,274.68 - ($100 * 30) = $1,274.68
Interest accumulated at 5%:
Total saved in 22.14 years = $100 * 22.14 ≈ $2,214
$4,274.68 - $2,214 = $2,060.68
In summary, if you save $100 per year for 30 years earning 3%, you will have $4,274.68 at the end of 30 years, with an accumulated interest of $1,274.68. If the interest rate is 5%, it will take you approximately 22.14 years to accumulate the same amount, with an accumulated interest of $2,060.68.
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Cage Company had income of $424 million and average invested assets of $2,190 million. Its return on assets (ROA) is:
A. 1.9%.
B. 39%.
C. 19.4%.
D. 5.2%.
E. 3.9%.
The return on assets (ROA) for Cage Company is 19.4%.
ROA = (Net Income / Average Invested Assets) x 100. In this case, Cage Company had a net income of $424 million and average invested assets of $2,190 million.
Step 1: Divide the net income by the average invested assets:
ROA = ($424 million / $2,190 million)
Step 2: Calculate the result:
ROA = 0.1936
Step 3: Multiply the result by 100 to express it as a percentage:
ROA = 0.1936 x 100 = 19.36%
Therefore, Cage Company's return on assets (ROA) is 19.4% (Option C).
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The free-rider problem is most likely to arise in:
a. small groups
b. firms that tie bonuses to individual performance
c. a profit-sharing plan
d. firms that use piece rates
The free-rider problem is most likely to arise in small groups. The answer is a.
In small groups, individuals may be more likely to free-ride, or benefit from the contributions of others without contributing themselves, because the contributions of any single individual may have less impact on the overall outcome. This can lead to a situation where everyone expects someone else to contribute and the group as a whole suffers.
In larger groups, the contributions of any single individual may be more easily observed and may have a greater impact on the overall outcome, reducing the likelihood of free-riding. Additionally, larger groups may be better able to monitor individual contributions and enforce rules to prevent free-riding.
The other options given (b, c, d) all involve incentives or payment systems that may reduce the free-rider problem by providing individual motivation to contribute.
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which of the following is true regarding price? multiple choice question. it should be based on the value that the customer perceives. it should be as high as legally allowed. it should always be based on competitors' prices. it may result in higher-than-necessary margins and profits if it is too low
The statement which is true regarding price is a. it should be based on the value that the customer perceives.
Setting the appropriate pricing may help firms attract clients, produce revenue, and make a profit. Pricing is a crucial component of marketing strategy. Pricing should be determined by the perceived value that consumers place on the provided goods. This implies that when determining pricing, firms should consider both advantages of their commodities as well as the requirements and preferences of their target clients.
A detailed grasp of the market, the competitors, and customer behaviour should serve as the foundation for pricing strategies. Pricing decisions can have a detrimental effect on sales and earnings. It may not be the ideal strategy to set pricing based merely on those of rivals or on regulatory restrictions since it may neglect to consider the special value proposition of the item or service being given.
Complete Question:
Which of the following is true regarding price?
a. it should be based on the value that the customer perceives.
b. it should be as high as legally allowed.
c. it should always be based on competitors' prices.
d. it may result in higher-than-necessary margins and profits if it is too low
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You have the possibility of participating in a job training that will cost you $1,900 now in total opportunity costs (both tuition and time away from work). This training is very specific and you will get a bonus in your pay of $1,000 in year one and $1,000 in year two. After that you would need to take another refresher course if you wanted to continue to have the salary bonus. a. Calculate the net present discounted value of participating in the training if the discount rate (interest rate) is 2%. Show all your calculations. Based on this result, is it in your best interest to participate in the training? b. Calculate the net present discounted value of participating in the training if the discount rate (interest rate) is 5%. Show all your calculations. Based on this result, is it in your best interest to participate in the training?
Discount refers to a reduction in the price of a product or service. This reduction can be a percentage of the original price or a fixed amount.
a. To calculate the net present discounted value of participating in the training at a discount rate of 2%, we need to discount the cash flows of the salary bonus back to their present value and subtract the initial cost of the training:
NPV = -1900 + 1000/(1+0.02)^1 + 1000/(1+0.02)^2
= -1900 + 980.39 + 961.17
= $41.56
Since the NPV is positive, it is in your best interest to participate in the training at a discount rate of 2%.
b. To calculate the net present discounted value of participating in the training at a discount rate of 5%, we use the same formula as in part (a), but with a different discount rate:
NPV = -1900 + 1000/(1+0.05)^1 + 1000/(1+0.05)^2
= -1900 + 952.38 + 907.03
= -$40.59
Since the NPV is negative, it is not in your best interest to participate in the training at a discount rate of 5%.
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if you were developing an incentive system designed to help drive successful strategy execution, which compensation and reward system would you not consider in your strategy execution effort?
The salary and reward system should be in line with the overall strategy and goals of the firm.
However, in general, any system that incentivizes activities that are inconsistent with the company's principles or that may lead to unethical practices should be avoided. A system that primarily pays salespeople based on the number of sales they generate, for example, may push them to use aggressive or dishonest tactics to complete deals.
As a result, it is critical to carefully analyze the incentive system's design and ensure that it promotes behaviors that support the company's vision and goal.
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On May 22, 2020, T. Albinoni Inc. issued a 4.15% coupon bond with a $100 face value, and incurred 2.00% of the face value as a transaction cost. The bond's issue price was $86.34 per share, and its maturity date is September 30, 2029. The firm's corporate tax rate is 21%. a) Calculate the firm's "pre-tax" cost of debt. (2 points) b) Calculate the firm's "after-tax" cost of debt.
The firm's "after-tax" cost of debt is 3.76%.
a) The "pre-tax" cost of debt is the yield to maturity (YTM) of the bond, which is the rate of return that an investor would earn if they purchased the bond at the current market price and held it until maturity. To calculate the YTM, we need to use the bond's current price, face value, coupon rate, and time to maturity.
The bond's current price is $86.34, its face value is $100, and its coupon rate is 4.15%. The bond pays interest semi-annually, so it has 19 coupon payments left until maturity. The time to maturity is 9.38 years (calculated as the number of months until maturity divided by 12).
Using a financial calculator or spreadsheet, we can calculate the YTM as follows:
N = 19
PV = -86.34
PMT = 4.15 / 2 * 100 = 2.075
FV = 100
I/Y = 4.76%
Therefore, the firm's "pre-tax" cost of debt is 4.76%.
b) The "after-tax" cost of debt is the "pre-tax" cost of debt adjusted for the tax savings that the firm receives from deducting the interest expense on its tax return. The tax savings are equal to the interest expense multiplied by the firm's tax rate.
The interest expense is equal to the coupon rate multiplied by the face value of the bond, which is $4.15 per share ($100 face value * 4.15% coupon rate). The transaction cost is also considered an interest expense, as it is a cost incurred in order to obtain financing. Therefore, the total interest expense is $6.15 per share ($4.15 + $2.00 transaction cost).
The tax savings are equal to the interest expense multiplied by the firm's tax rate, which is 21%. Therefore, the tax savings are $1.29 per share ($6.15 * 21%).
The "after-tax" cost of debt is equal to the "pre-tax" cost of debt minus the tax savings, which is:
After-tax cost of debt = Pre-tax cost of debt * (1 - Tax rate)
After-tax cost of debt = 4.76% * (1 - 21%)
After-tax cost of debt = 3.76%.
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exercising PEOPLE PROBLEMS The Situation You are the controller at a manufacturing company that sells refrigeration and food packaging equipment worldwide. Your company recently hired a temporary worker, Kelly, to help put a new International sales tax tracking system in place. She's well qualified, a hard worker, a team player, and highly effective at her job. You want to bring her on full time, so you have jumped through all the hoops and created a middle management job for her that would put her on equal footing with her current boss, the accounting manager, Elizabeth (who reports to you. You are going to finish the process as soon as you get back from a week of vacation, The Dilemma While you were gone, Elizabeth obtained Kelly's résume from the temp agency. She noticed some holes in the timeline and met with Kelly in a closed meeting. After the meeting, she had security escort Kelly out of the building and warned her not to retum. She wrote a memo to you stating that in the interview, as she probed some of the discrepancies in the résumé and job application, Kelly revealed that she had struggled with alcohol Issues when she was younger, but now she was 15 years dean and sober. Despite this, Elizabeth felt that Kelly's past made her unqualified for the job, and felt so strongly about it that she, Elizabeth, would resignil kelly was brought back in any capacity, Elizabeth has been with the company for 20 years and runs the accounting department like a tight ship. In fact, it's one of the best departments in the company and always makes you look good in the management meetings QUESTIONS TO ADDRESS S-21. What areas of management functions are involved in this scenario 5-22. What are the ethicales in this situation 5-23What is the logical, busin-bied approach for a man ager to take in this situation! Explain your position 5-21. What would you do and why? 5:25. How would you describe the culture of this company based on the limited information in the scenario exercising PEOPLE PROBLEMS The Situation You are the controller at a manufacturing company that sells refrigeration and food packaging equipment worldwide. Your company recently hired a temporary worker, Kelly, to help put a new international sales tax tracking system in place She's well qualified, a hard worker, a team player, and highly effective at her job. You want to bring her on full time, so you have jumped through all the hoops and created a middle management job for her that would put her on equal footing with her current boss, the accounting manager, Elizabeth (who reports to you). You are going to finish the process as soon as you get back from a week of vacation. The Dilemma While you were gone, Elizabeth obtained Kelly's résume from the temp agency. She noticed some holes in the timeline and met with Kelly in a closed meeting. After the meeting, she had security escort Kelly out of the building and wamed her not to retum. She wrote a memo to you stating that in the interview, as she probed some of the discrepancies in the resume and job application, Kelly revealed that she had struggled with alcohol issues when she was younger, but now she was 15 years clean and sober. Despite this, Elizabeth felt that Kelly's past made her unqualified for the job, and felt so strongly about it that she, Elizabeth, would resign if Kelly was brought back in any capacity, Elizabeth has been with the company for 20 years and runs the accounting department like a tight ship. In fact, it's one of the best departments in the company and always makes you look good in the management meetings QUESTIONS TO ADDRESS 5-21. What areas of management functions are involved in this scenario 5-22 What are the ethical issues in this situation? 5-23. What is the logical, business-based approach for a man- ager to take in this situation? Explain your position 5-21. What would you do and why? 5-25. How would you describe the culture of this company based on the limited information in the scenario
Okay, let's break this scenario down:
5-21. The areas of management involved here are:
- Leadership: You as the controller have to lead in resolving this difficult situation.
- Human resources management: Managing the hiring, performance issues and termination of employees.
- Accounting/Finance: Given that Kelly was brought on to help implement an accounting system and Elizabeth runs the accounting dept.
5-22. The main ethical issues here are:
- Discrimination: Elizabeth may be discriminating against Kelly due to her past struggles, despite her being 15 years sober.
- Fairness: Is it fair to remove Kelly from her new role after she was already hired for it?
- Trust: Did Elizabeth violate trust by reviewing Kelly's private resume behind your back?
5-23. The logical, business-focused approach here would be:
- Weigh the pros and cons of Kelly vs. Elizabeth remaining in their roles. Who is more valuable to the key business needs?
- Determine if either employee's actions warrant discipline or termination. Or if the issues can be resolved professionally.
- Consider if there are any compromises or alternative solutions, e.g. Kelly remaining in a different role, Elizabeth reporting to someone else, etc.
- Make a decision that prioritizes the good of the key business operations and team productivity.
5-21. Given the options, I would try to have a constructive conversation with both Elizabeth and Kelly to find a reasonable resolution, rather than immediately terminating either one.
- Kelly seems a valuable hire, so I would want to try and make the role work if possible.
- Elizabeth also seems a key employee, so losing her should be an absolute last resort.
- With open communication, they may be able to find a way to professionally co-exist or alternative solutions could emerge.
- Only if resolution proves truly impossible would I consider letting either one go. Compromise and pragmatism seem prudent here.
5-25. Based on this limited scenario, I would describe the culture of this company as:
- Fastidious and by-the-book, given how strictly Elizabeth seems to enforce procedures.
- Closed-off, as there is a lack of transparency around key decisions and Elizabeth's actions seem isolating.
- With an undercurrent of politics, as power dynamics and territorialism also seem to be in play.
- However, the company also appears performance-oriented, as under-performing employees would presumably be let go.
- So, a mix of positive and concerning cultural elements based on this dilemma alone. More context would be needed to determine the full culture.
consider a machine that makes 8 parts in an hour and operates 8 hours per day. what is the machine utilization if demand for the parts is 12 parts per hour and three machines are available to make the parts? 100% 50% 22.2% 66.7%
The machine utilization if the demand for the parts is 12 parts per hour and three machines are available to make the parts B. 50%.
The machine utilization can be calculated using the production capacity, demand, and number of machines available.
First, determine the production capacity of one machine per day:
8 parts/hour * 8 hours/day = 64 parts/day
Next, find the total capacity of all three machines:
64 parts/day * 3 machines = 192 parts/day
Now, calculate the daily demand for the parts:
12 parts/hour * 8 hours/day = 96 parts/day
Finally, to find the machine utilization, divide the daily demand by the total capacity and multiply by 100 to get the percentage:
(96 parts/day / 192 parts/day) * 100 = 50%
The machine utilization is 50%. This means that the three machines are only being utilized half of their full capacity to meet the demand for the parts. Therefore, the correct option is B.
The question was incomplete, Find the full content below:
consider a machine that makes 8 parts in an hour and operates 8 hours per day. what is the machine utilization if demand for the parts is 12 parts per hour and three machines are available to make the parts?
A. 100%
B. 50%
C. 22.2%
D. 66.7%
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conscientiousness is a trait that is associated with better job performance, higher job satisfaction, better leadership performance, and higher retention. conscientiousness is a trait that is associated with better job performance, higher job satisfaction, better leadership performance, and higher retention. true false
The given statement" conscientiousness is a trait that is associated with better job performance, higher job satisfaction, better leadership performance, and higher retention. conscientiousness is a trait that is associated with better job performance, higher job satisfaction, better leadership performance, and higher retention." is True.conscientiousness is a valuable trait in the workplace and is often sought after by employers when hiring and promoting employees.
They are also more likely to exhibit effective leadership behaviors, such as being organized, planning ahead, and setting goals for their team. Conscientiousness has also been linked to a range of other positive outcomes, including better physical health, higher academic achievement, and greater life satisfaction.
Overall, conscientiousness is a valuable trait in the workplace and is often sought after by employers when hiring and promoting employees.
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A regional sales manager position has opened up in your company, and the National Sales Director calls you to encourage you to apply for the position. The position would require significant international travel. Since you've recently adopted a child, the idea of international travel isn't appealing. According to _____ theory, you will not be motivated by the National Sales Director's suggestion.
a. the two-factor
b. Maslow's
c. equity
d. Hawthorne's
e. expectancy
According to the expectancy theory, you will not be motivated by the National Sales Director's suggestion to apply for the regional sales manager position that requires significant international travel. The expectancy theory, developed by Victor Vroom, states that an individual's motivation depends on three factors: expectancy, instrumentality, and valence.
Expectancy is the belief that increased effort will lead to increased performance. Instrumentality is the belief that better performance will lead to desired outcomes or rewards. Valence is the value an individual place on the rewards or outcomes.
In this scenario, you have recently adopted a child, and the idea of international travel is not appealing to you. This affects the valence factor of the expectancy theory. Since the required international travel is not perceived as a desirable outcome or reward, the overall motivation to apply for the position is reduced.
Thus, according to the expectancy theory, you will not be motivated by the National Sales Director's suggestion to apply for the regional sales manager position.
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Alpha Centaur Co (AC) has 100 million shares outstanding with a price per share 5.8€ per share. AC plans to now issue debt for 180 MEUR and investors expect this level of debt to be permanent. Suppose the only market imperfections are corporate taxes at 20% and financial distress costs, and that the price per share with the leveraged recapitalization settles at 6€ per share in the market. What is the implied present value of financial distress costs in MEUR, and the number of shares repurchased with the issued debt?
The implied present value of financial distress costs in MEUR can be calculated by first finding the value of the company before and after the leveraged recapitalization. Before the recapitalization, the value of AC is:
100 million shares x €5.8 per share = €580 millionAfter the recapitalization, the value of AC is:(100 million shares x €6 per share) + €180 million debt = €780 million The increase in value due to the recapitalization is:€780 million - €580 million = €200 million.
However, this increase in value is not solely due to the recapitalization but also due to the assumption that the level of debt will be permanent. Therefore, we need to adjust for the tax shield benefit from the interest payments on the debt, which is:
(20% x €180 million) / (1 - 20%) = €36 million
The adjusted increase in value due to the recapitalization is:
€200 million - €36 million = €164 million
This €164 million represents the present value of financial distress costs, which is the amount that investors expect AC to pay in the future due to the increased risk of financial distress from the additional debt.
To find the number of shares repurchased with the issued debt, we can divide the €180 million debt by the price per share after the recapitalization:
€180 million / €6 per share = 30 million
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assume that the required reserve ratio is set at 0.0625 . what is the value of the money (deposit) multiplier?
The required reserve ratio is set at 0.0625 . The value of the money (deposit) multiplier is "16".
The money multiplier is the term which is used to measure of the maximum amount of money that can be created by the banking system through the process of deposit creation.
The value of the money multiplier depends on required reserve ratio.
Lets, the money multiplier is calculated using the following formula:
Money multiplier = 1 / Required reserve ratio
Therefore, if the required reserve ratio is 0.0625, the money multiplier would be:
Money multiplier = 1 / 0.0625
Money multiplier = 16
Therefore, the value of the money multiplier in this case is 16.
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the implementation phase of database design includes creating the database storage structure and loading the database, but does not provide for data management.true or false
False. The implementation phase of database design includes creating the database storage structure and loading the database, but does not provide for data management is incorrect.
Arranging data according to a database model is called database design. The relationships between data are determined by the designer. With this knowledge, you can fit the data into your database model. Data is properly managed through a database management system.
Data classification and relationship discovery are important elements of database design. An ontology is a theoretical representation of data. Database design is based on ontologies.
Once the database designer knows what data will be stored in the database, he must determine where dependencies exist within the data. When data changes, other hidden data may also change.
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False. The implementation phase of database design includes creating the database storage structure, loading the database, and also providing for data management through the creation of user interfaces, queries, reports, and other tools for managing and manipulating data within the database.
The statement you provided is false. The implementation phase of database design does include creating the database storage structure and loading the database, but it also provides for data management. Data management is a crucial aspect of the implementation phase, as it involves organizing, maintaining, and ensuring the efficient use of data within the database.
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The 30-day forward rate for the Yen is $0.01500, while thecurrent spot rate of the Yen is $0.01060. What is the annualizedforward premium of the Yen?
The annualized forward premium of the Yen is 41.51%.
To calculate the annualized forward premium, we first need to calculate the forward rate premium, which is the difference between the forward rate and the spot rate.
Forward rate premium = Forward rate - Spot rate
= $0.01500 - $0.01060
= $0.00440
Next, we need to annualize the forward rate premium by dividing it by the spot rate and multiplying by 365/30 (assuming a 360-day year).
Annualized forward premium = (Forward rate premium / Spot rate) x (365/30)
= ($0.00440 / $0.01060) x (365/30)
= 0.4151 or 41.51%
Therefore, the annualized forward premium of the Yen is 41.51%.
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Shi Import-Export's balance sheet shows $300 million in debt, $50 million in preferred stock, and $250 million in total common equity. Shi's tax rate is 40%, rd = 8%, rps = 7.1%, and rs = 10%. If Shi has a target capital structure of 30% debt, 5% preferred stock, and 65% common stock, what is its WACC? Round your answer to two decimal places.
Shi Import-Export's WACC is 8.10%.
To calculate Shi Import-Export's WACC, we need to first calculate the cost of each component of its capital structure: debt, preferred stock, and common stock.
The cost of debt (rd) is given as 8%, so we can simply use that. The cost of preferred stock (rps) is also given as 7.1%.
To calculate the cost of common stock (rs), we can use the capital asset pricing model (CAPM):
rs = rf + β(rs - rf)
where rf is the risk-free rate (assumed to be 2.5%), β is the company's beta (assumed to be 1.2), and rs - rf is the market risk premium (assumed to be 5%).
Using these values, we can calculate the cost of common stock as:
rs = 2.5% + 1.2(5%) = 8.5%
Next, we need to calculate the weights of each component of the capital structure. Shi's target capital structure is 30% debt, 5% preferred stock, and 65% common stock.
Using these weights and the costs of each component, we can calculate the weighted average cost of capital (WACC) as:
WACC = (0.30 x 0.08) + (0.05 x 0.071) + (0.65 x 0.085) x (1 - 0.40) = 0.081 or 8.10%
Therefore, Shi Import-Export's WACC is 8.10%.
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Assume that JCP will experience a $1.5 billion net income loss for billion is required for JCP to operate efficiently. Create a pro forma JCP's external funding required by year-end 2013.
The success of JCP will depend on its ability to manage costs, improve operational efficiencies, and create value for its stakeholders.
Based on the assumption that JCP will experience a $1.5 billion net income loss, the company will require external funding of at least $2 billion by year-end 2013 to operate efficiently. This estimate takes into consideration the fact that the company has already taken steps to reduce costs, such as cutting staff and closing stores.
However, it is clear that further funding will be required to support ongoing operations, pay down debt, and invest in new initiatives.
To generate the necessary funding, JCP may need to consider a range of options, such as issuing new debt, selling assets, or raising equity capital through a public offering. Given the current market conditions and the challenges facing JCP, it may be difficult to secure funding on favorable terms.
As such, the company will need to carefully evaluate its options and develop a comprehensive strategy to ensure its long-term viability. Overall, the success of JCP will depend on its ability to manage costs, improve operational efficiencies, and create value for its stakeholders.
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a formula that helps you calculate how long it will take for your savings to double is the rule of 72. true false
True, the Rule of 72 is a formula that helps you calculate how long it will take for your savings to double.
To use the Rule of 72, you simply divide 72 by the annual interest rate (expressed as a percentage) to estimate the number of years it will take for your investment to double in value. For example, if the interest rate is 6%, it would take approximately 12 years (72 ÷ 6 = 12) for your savings to double.
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----------TRUE----------
Sam is looking to purchase a commercial building that has an NOI
of $405,000. If Sam’s lender requires a Debt Coverage Ratio of at
least 1.2, what is the maximum annual Debt Service Sam can pay?
The Debt Coverage Ratio (DCR) is a measure that lenders use to assess a borrower’s ability to make loan payments. It is calculated by dividing a property’s net operating income by its annual debt service.
In this case, if the NOI is $405,000 and the lender requires a DCR of 1.2, the maximum annual debt service that Sam can pay is $337,500 ($405,000 / 1.2).
The debt service is the amount of money that Sam would need to pay each year to cover the loan payments, including principal and interest. A higher DCR indicates that the borrower has more financial flexibility and is a better credit risk. A lower DCR signals that the borrower may not be able to cover loan payments and is an increased risk.
By requiring a DCR of 1.2, the lender is indicating that they feel confident that Sam can cover his loan payments.
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You manage an equity fund with an expected risk premium of 11.6% and a standard deviation of 30%. The rate on Treasury bills is 6.2%. Your client chooses to invest $60,000 of her portfolio in your equity fund and $140,000 in a T-bill money market fund. What is the expected return and standard deviation of return on your client’s portfolio?
The expected return on the client's portfolio is 8.88% and the standard deviation of the return is 12.44%.
To calculate the expected return, we use the weighted average of the expected returns of the two funds:
Expected Return = (Weight of Equity Fund * Expected Return of Equity Fund) + (Weight of T-bill Fund * Expected Return of T-bill Fund)
Expected Return = (0.6 * 11.6%) + (0.4 * 6.2%) = 8.88%
To calculate the standard deviation of the return, we need to use the formula for the portfolio variance:
Portfolio Variance = (Weight of Equity Fund^2 * Variance of Equity Fund) + (Weight of T-bill Fund² * Variance of T-bill Fund) + 2*(Weight of Equity Fund * Weight of T-bill Fund * Covariance between Equity and T-bill Funds)
Since the T-bill fund has no volatility (standard deviation = 0%), its variance is 0. The covariance between the equity fund and T-bill fund is also 0 since they have no correlation. Therefore, the portfolio variance simplifies to:
Portfolio Variance = Weight of Equity Fund² * Variance of Equity Fund
Portfolio Variance = (0.6)^2 * (0.3)² = 0.0108
The standard deviation of the portfolio is the square root of the portfolio variance:
Standard Deviation = sqrt(0.0108) = 0.104 * 100% = 10.44%
Therefore, the standard deviation of the return on the client's portfolio is 12.44% (since the portfolio is a mix of the equity fund and T-bill fund), and the expected return is 8.88%.
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An investor with a 3-year investment horizon is considering purchasing a 10-year coupon bond with a par value of $1,000. The annual coupon rate is 10% and the price is $1,000. The investor expects that she can reinvest the coupon payments at an annual interest rate of 10% and that at the end of the 3-year investment horizon 7-year bonds will be selling to offer a yield to maturity of 15%. What is the total return for this bond?
The total return for this bond over the 3-year investment horizon is 2.7% when the yield to maturity is 15%.
To calculate the total return for the bond, we need to take into account the coupon payments, reinvestment income, and capital gain or loss.
First, let's calculate the annual coupon payment. The coupon rate is 10%, so the annual coupon payment is:
$1,000 x 10% = $100
The bond has a 10-year maturity, but the investor only plans to hold it for 3 years. At the end of the third year, there will be 7 years left until maturity.
Next, let's calculate the total coupon payments over the 3-year investment horizon, assuming the investor reinvests them at 10% annually.
- Year 1: $100 coupon payment, reinvested at 10%, gives $110 at the end of the year
- Year 2: $100 coupon payment, reinvested at 10%, gives $121 at the end of the year
- Year 3: $100 coupon payment, reinvested at 10%, gives $133.10 at the end of the year
So the total reinvestment income at the end of the 3-year horizon is $110 + $121 + $133.10 = $364.10
Next, let's calculate the capital gain or loss when the investor sells the bond at the end of the third year. The bond will have 7 years left until maturity, and bonds with 7-year maturities are expected to offer a yield to maturity of 15%.
Using a bond calculator, we can find that the price of a 7-year bond with a 15% yield to maturity and a par value of $1,000 is:
PV = $1,000 / (1 + 0.15) = $386.48
So if the investor sells the bond at the end of the third year, they will receive $386.48.
Since the investor bought the bond for $1,000, the capital loss is:
Capital loss = $1,000 - $386.48 = $613.52
Finally, let's calculate the total return:
Total return = reinvestment income + captal gain or loss / initial investment
Total return = $364.10 + ($613.52) / $1,000 = 0.027 = 2.7%
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1.1 Heating degree-day and cooling degree-day futures contracts make payments based on whether the temperature is abnormally hot or cold. Explain why the following businesses might be interested in such a contract: a. Soft-drink manufacturers. b. Ski-resort operators. c. Electric utilities. d. Amusement park operators. 1.2 Suppose the businesses in the previous problem use futures contracts to hedge their temperature-related risk. Who do you think might accept the opposite risk?
Heating degree-day and cooling degree-day futures contracts help businesses like soft-drink manufacturers, ski-resort operators, electric utilities, and amusement park operators manage temperature-related risks by providing financial protection against abnormally hot or cold weather.
a. Soft-drink manufacturers: High temperatures increase soft-drink consumption, so manufacturers may use cooling degree-day contracts to hedge against abnormally low temperatures that could reduce sales.
b. Ski-resort operators: Low temperatures boost skiing demand, so operators may use heating degree-day contracts to hedge against abnormally high temperatures that could lead to fewer visitors.
c. Electric utilities: High temperatures increase electricity demand for air conditioning, and low temperatures increase heating demand. Utilities may use both types of contracts to hedge against abnormal temperatures affecting their revenue.
d. Amusement park operators: Attendance may decline during extreme temperatures, so operators may use both types of contracts to protect against abnormal weather affecting their business.
For question 1.2, counterparties accepting the opposite risk in futures contracts could be insurance companies, financial institutions, or other businesses with opposite temperature-related exposures, as they may benefit from the opposite temperature deviations.
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which of the following is true about a fractional reserve banking system? the central bank does not allow for this type of system. it allows banks to loan out a portion of deposits and therefore create money. there are no regulations concerning the portion of reserves banks must hold. it is likely to fail as most people demand all of their money each day.
The central bank typically oversees and regulates the fractional reserve system in a country.
The correct statement about a fractional reserve banking system is that it allows banks to loan out a portion of deposits and therefore create money. However, there are regulations in place concerning the portion of reserves banks must hold to ensure stability and prevent excessive risk-taking. While it is possible for a fractional reserve system to fail if there is a sudden run on the bank and people demand all of their money at once, proper regulation and oversight can mitigate this risk. The central bank typically oversees and regulates the fractional reserve system in a country.
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Marginal benefit minus price equals: A. consumer surplus. B. economic equity. C. producer surplus. D. economic efficiency.
Marginal benefit minus price equals A. consumer surplus.
What is meant by consumer surplus?
Consumer surplus is the difference between the maximum price a consumer is willing to pay for a good or service (i.e., marginal benefit) and the actual price they pay. Therefore, marginal benefit minus price equals consumer surplus.
Marginal benefit represents the additional benefit a consumer receives from consuming an additional unit of a good or service, while price represents the cost of that unit. When you subtract the price from the marginal benefit, you get the consumer surplus. This measures the value that consumers receive from consuming a good or service over and above what they actually paid for it.
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If a firm is expected to report a free cash flow equal to $10 million and that cash flow is expected to grow at 5% for a long time. If the liabilities are $20 million and it has 10 million shares of common stocks outstanding, WACC is 10%, then how much is the intrinsic value per share?
$20
$18
$10
$22
$15
The intrinsic value per share for this firm is $15.
The intrinsic value per share is calculated by using the discounted cash flow (DCF) model. In this model, the free cash flow of the firm is discounted back to the present value at a discount rate which is the Weighted Average Cost of Capital (WACC).
In this case, if the firm is expected to report a free cash flow of $10 million, which is expected to grow at 5% for a long time, the liabilities are $20 million, and the WACC is 10%, the intrinsic value per share can be calculated as follows:
Intrinsic Value Per Share = ($10 million / (1+WACC)) + (Liabilities - Equity) / Shares Outstanding
Therefore, in this case, the intrinsic value per share would be calculated as follows:
Intrinsic Value Per Share = ($10 million / (1+10%)) + ($20 million - $10 million) / 10 million = $15.
Thus, the intrinsic value per share for this firm is $15.
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6. An insurance agent is trying to sell you an immediate retirement annuity that offers $15,000 per year at the end of each of the next 30 years. The price of the investment proposed by the agent is $250,000. If you have the opportunity to earn 10% compounded annually on risky investments comparable to the retirement annuity offered, determine the most you would be willing to pay for the project. Would you buy it?
Since the proposed investment price is $250,000, it is not worth buying at this price. We would only buy it if the price is less than $145,323.
To determine the most you would be willing to pay for the project, you need to calculate the present value of the annuity payments using the given discount rate of 10%.
Using the formula for the present value of an annuity:
PV = C[(1 - (1 + r)⁽⁻ⁿ⁾ / r]
where PV is the present value, C is the annuity payment, r is the discount rate, and n is the number of periods,
PV = $15,000[(1 - (1 + 0.1)⁽⁻³⁰⁾) / 0.1]
PV = $15,000[(1 - 0.03118) / 0.1]
PV = $15,000[9.6882]
PV = $145,323
Therefore, the most you would be willing to pay for the project is $145,323.
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The first, and perhaps most important, step in constraint management is to ____________ the most pressing constraint. A. improve B. support C. identify D. elevate E. modify
The first step in constraint management is to identify the most pressing constraint, which is crucial in developing effective strategies to address the issue. The correct option is C.
To create efficient ways to deal with limitations, the first stage in constraint management is essential. It entails determining the most important constraint, which might be a resource shortage, a process bottleneck, or a physical restriction. It is hard to determine where to concentrate efforts and resources to increase performance without understanding the restriction.
When a restriction is recognised, it may be examined and appropriate action can be done to reduce or eliminate it. To guarantee that the organisation can work at its full potential and accomplish its objectives, this is crucial.
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The first step in constraint management is to identify the most pressing constraint, which is crucial in developing effective strategies to address the issue. The correct option is C.
Constraint management is a process of identifying and addressing the factors that limit an organization's ability to achieve its goals. The first step in this process is to identify the most pressing constraint, which is the factor that is currently having the greatest negative impact on the organization's performance. This can involve analyzing data on productivity, quality, customer satisfaction, or other performance indicators, and identifying the bottleneck or bottleneck that is most limiting the organization's success. Once the constraint is identified, the organization can begin to develop strategies for addressing it, such as increasing capacity, reducing waste, or improving processes. By focusing on the most pressing constraint, an organization can make the most effective use of its resources and improve its overall performance.
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LRW Corporation has a beta of 1.6. The risk-free rate ofinterest is 0.03, and the return on the stock market overall isexpected to be 0.11. What is the required rate of return on LRWstock?
The required rate of return on LRW stock is 15.8%.
To calculate the required rate of return on LRW stock, we can use the Capital Asset Pricing Model (CAPM) formula. The CAPM formula is:
Required Rate of Return = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)
Given that LRW Corporation has a beta of 1.6, the risk-free rate of interest is 0.03, and the expected return on the stock market overall is 0.11, we can plug in these values into the formula:
Required Rate of Return = 0.03 + 1.6 * (0.11 - 0.03)
Hence,
1. Calculate the difference between the market return and the risk-free rate:
0.11 - 0.03 = 0.08
2. Multiply this difference by LRW's beta:
1.6 * 0.08 = 0.128
3. Add the risk-free rate to the result from step 2:
0.03 + 0.128 = 0.158
So, the required rate of return on LRW stock is 0.158 or 15.8%.
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Question 3 Assume the following spot rates. Year 1 2 3 Spot rate 3 4.5 5.5 a. Calculate the one-year forward rate over the second year. b. Calculate the one-year forward rate over the third year. [10]
The one-year forward rate over the second year is 0.375.
a. The one-year forward rate over the second year can be calculated as: F2,1 = (1 + r2) / (1 + r1) - 1 = (1 + 4.5) / (1 + 3) - 1 = 1.5 / 4 - 1 = 0.375
b. The one-year forward rate over the third year can be calculated as: F3,2 = (1 + r3) / (1 + r2) - 1 = (1 + 5.5) / (1 + 4.5) - 1 = 2.5 / 5 - 1 = 0.5
Thus, the one-year forward rate over the third year is 0.5.
Forward rates are important in the foreign exchange markets, as they allow investors to hedge against currency rate fluctuations. By knowing the forward rate between two currencies, investors can lock in an exchange rate for a future transaction.
Forward rates are calculated by taking the spot rate of one currency, and dividing it by the spot rate of another currency, minus one. This allows investors to compare two currencies over a certain period of time. By understanding the forward rate, investors can plan for future currency exchange and make more informed decisions when purchasing foreign currencies.
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