Sure, here are the answers to your questions:
Question 6: True. MRP (Material Requirements Planning) is a method for planning and controlling the production of dependent demand items. Dependent demand items are those whose demand is derived from the demand for other items. For example, the demand for screws is dependent on the demand for tables.
Question 5: False. One criterion for developing effective schedules is minimizing completion time, but there are other factors to consider as well, such as minimizing cost, resource utilization, and risk.
Question 4: False. Gantt charts are generally defined as scheduling tools. They are used to visualize and track the progress of a project or task. Gantt charts can be used to sequence tasks, but they are not specifically designed for that purpose.
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Evaluate and discuss the requirements of one of the following laws and how it applies in hiring. What does a manager need to do or not do to comply with it? Pregnancy Discrimination Act or Federal labor laws enforced by the National Labor Relations Board (NLRB) including National Labor Relations Act (NLRA)
Pregnancy Discrimination Act is essential to protect pregnant employees from discrimination in the workplace. A manager should comply with the requirements of the PDA by not discriminating against an employee based on pregnancy, childbirth, or related medical conditions.
The act applies to employers with 15 or more employees, and it protects women from being discriminated against due to pregnancy, childbirth, or related medical conditions when it comes to recruitment, hiring, and promotion decisions.
To comply with the PDA, a manager should provide reasonable accommodation to a pregnant employee if the employee requests it, such as allowing her to take breaks for medical reasons or moving her to a less physically demanding job. Employers should also provide equal access to benefits such as health insurance and disability leave for employees with pregnancy-related medical conditions.
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15. You are the business manager for a dermatological practice. The dermatologist has asked you to estimate customer lifetime value for your firm's typical customer. Calculate customer lifetime value for a new customer:
Average visit:
$1,550
Frequency of visits: Markup on retail:
Retention rate:
2.4/year
40%
70%
Discount Rate:
Promotional Costs/yr.
12%
$50
Acquisition Cost
$250
16. Continuing with the previous question, how much money can the practice afford to spend to increase customer retention from 70 to 75%?
valus,
Average visit= $1,550
Frequency of visits=2.4/year
Markup on retail= 40%
Retention rate=70%
Discount rate=12%
Promotional costs/year= $50
Acquisition cost= $250Customer
lifetime value= (Average sale per customer)*(number of repeat transactions)*(average retention time per customer)
Customer lifetime value=(1550*2.4*[(1-0.7)/1+0.12-0.7])/(1+0.12-0.7)Customer lifetime value = $13,788.46
Practice can spend the amount equals to the present value of the customer lifetime value to acquire new customers.
Present value of customer lifetime value is calculated asPV = CLV/(1+r)n Where, CLV is the customer lifetime value, r is the discount rate, and n is the period under consideration.
PV=13788.46/(1+0.12-0.7)PV = $13,370.97To increase customer retention from 70% to 75%, the increase in retention is 7.14%.
Let's assume that the current retention rate is based on the promotional cost of $50. So, the increase in retention rate by 7.14% would require how much increase in the promotional cost?
We can calculate this using the following formula:Increase in promotional costs = (increase in retention rate/ % retention rate) × Promotional costs/yearIncrease in promotional costs= (7.14/70) × 50Increase in promotional costs= $5.10
Thus, the practice can afford to spend $5.10 to increase customer retention from 70% to 75%.
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Which of the following is true about competencies? they focus of average performance rather than optimal performance they discourage employees from assuming leadership roles they fail to provide a common basis for working together they create risks that need to be managed due to inferred proficiencies they make people lose their focus
Competencies carry risks that need to be managed due to assumed proficiencies, necessitating alignment between stated competencies and actual performance through ongoing assessment and development. Option D.
Competencies refer to the knowledge, skills, abilities, and behaviors that individuals possess and can effectively apply in their roles. They play a crucial role in defining performance expectations and providing a framework for assessing and developing employees.
A.) Competencies do not focus on average performance but rather on the desired level of performance. They outline the skills and abilities required to excel in a specific role, emphasizing optimal performance rather than mediocrity.
B.) Competencies do not discourage employees from assuming leadership roles. In fact, competencies often include leadership skills and behaviors, encouraging employees to develop their leadership capabilities.
C.) Competencies provide a common basis for working together. They establish a shared language and understanding of the skills and behaviors necessary for effective collaboration and teamwork.
D.) This is the correct answer. Competencies create risks that need to be managed because they imply proficiencies that may not always align with actual performance. It is important to ensure that individuals possess the necessary skills and can demonstrate competence in real-world situations, not just in theory.
E.) Competencies do not make people lose their focus. On the contrary, they help individuals and organizations focus on the specific skills and behaviors required to succeed in their roles and achieve organizational objectives.
In summary, competencies are essential in defining performance expectations and guiding employee development. While they create risks related to inferred proficiencies, effective competency management involves ensuring alignment between stated competencies and actual performance through ongoing assessment and development efforts. So Option D is correct.
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What is the future value of $400 saved at i-7.86%, compounded annually in 1 year? 2. what is the future value of $400 saved at 1-786%, compounded annually in 2 years? 3, what is the future value of $400 saved at i 7.86%, cormpounded semi-annually in 2 years? 4. What is the future value of $400 saved at i: 7.86%, compounded quarterly in 2 years? 5. Suppose you save $18,000 per year at an interest rate of i much will you have after 35 years? 5.21% compounded once per year. How 6. A risk-free bond will pay you $1000 in 1 year. The annual discount rate is i-3.69% cormpounded annually. What is the bond's present value? 7. A risk-free bond will pay you $1000 in 2 years and nothing in between. The annual discount rate is i 9596 cormpounded annually, what is the bond's present value? 8. You buy a 30 year zero coupon bond which will pay you $1000 in 30 years at an annual yield ofi 6% compounded once per year. A few minutes later the annual yield rises to i 7% compounded once per year. What is the percent change in the value of the bond? (Hint: the answer should be negative.) 9. You buy a 30 year zero coupon bond which will pay you $1000 in 30 years at an annual yield of 14% compounded once per year, 25 years later it will be a 5 year zero coupon bond. Suppose the interest rate on this bond will be 14%, what will the price of this bond be in 25 years? 10. You are offered an annuity that will pay you $200,000 once per year, at the end of the year, for 25 years. The first payment will arrive one year from now. The last payment will arrive twenty five yeans from now. Suppose your annual discount rate is i-5.25%, how much are you willing to pay for this annuity? (hint: this is the same as the present value of an annuity.) 11. You would like to develop an office building. Your analysts forecast that it will cost you $1,000,000 immediately (time 0), and it will cost you $500,000 in one year (time 1). They forecast you can sell the building for $2.400,000 in two years (time 2). If your discount rate is 25%, what is the net present value of this investment?
1. The future value of $400 saved at an interest rate of 7.86%, compounded annually for 1 year is approximately $431.44.
2. The future value of $400 saved at an interest rate of 7.86%, compounded annually for 2 years is approximately $466.62.
3. The future value of $400 saved at an interest rate of 7.86%, compounded semi-annually for 2 years is approximately $468.68.
4. The future value of $400 saved at an interest rate of 7.86%, compounded quarterly for 2 years is approximately $469.64.
5. Saving $18,000 per year for 35 years at an interest rate of 5.21%, compounded once per year would result in a future value of approximately $1,306,577.46.
1. To calculate the future value of $400 saved at an interest rate of 7.86%, compounded annually for 1 year, we use the formula:
Future Value = Present Value * (1 + Interest Rate)^Time
Future Value = $400 * (1 + 0.0786)^1
Future Value ≈ $431.44
2. Using the same formula, for 2 years of compounding annually:
Future Value = $400 * (1 + 0.0786)^2
Future Value ≈ $466.62
3. For semi-annual compounding over 2 years:
Future Value = $400 * (1 + (0.0786 / 2))^ (2 * 2)
Future Value ≈ $468.68
4. For quarterly compounding over 2 years:
Future Value = $400 * (1 + (0.0786 / 4))^ (4 * 2)
Future Value ≈ $469.64
5. To calculate the future value of saving $18,000 per year for 35 years at an interest rate of 5.21%, compounded annually:
Future Value = $18,000 * ((1 + 0.0521)^35 - 1) / 0.0521
Future Value ≈ $1,306,577.46
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Is purchasing a profession? if not, why not? if yes, how will the profession, and the people practicing it, change over the next decade?
Purchasing can be considered a profession, as it involves specialized skills, knowledge, and expertise in managing procurement processes. It is important to note that purchasing is often seen as a function or role within larger professions such as supply chain management or procurement.
Over the next decade, the profession of purchasing is expected to undergo several changes. Here are some possible trends:
1. Technology integration: The use of automation, artificial intelligence, and data analytics will become more prevalent in purchasing processes. This will streamline operations, enhance decision-making, and improve efficiency.
2. Strategic focus: Purchasing professionals will play a more strategic role within organizations, collaborating with other departments to align procurement strategies with overall business objectives. They will also focus on developing sustainable and ethical sourcing practices.
3. Supplier relationship management: Building strong relationships with suppliers will be crucial. Purchasing professionals will need to prioritize collaboration, communication, and negotiation skills to establish mutually beneficial partnerships.
4. Globalization and supply chain resilience: As businesses become more globalized, purchasing professionals will need to navigate complex international supply chains and manage risks effectively. This will require an understanding of international trade regulations and the ability to adapt to changing market conditions.
Overall, the profession of purchasing is likely to become more dynamic, technology-driven, and strategic in the coming years. Professionals in this field will need to continuously upskill and adapt to these changes to remain competitive and deliver value to their organizations.
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"What is the importance of life insurance and other assets in
your financial planning?
How can your life and property insurance policy help you
accomplish your financial goals?"
Life insurance and other assets play a crucial role in financial planning as they provide protection and stability for individuals and their families.
These assets serve as a safety net and can help mitigate financial risks and uncertainties that may arise throughout life. They provide peace of mind by ensuring that loved ones are financially secure in the event of an untimely death or other unexpected circumstances.
Life insurance, in particular, serves as a key component of financial planning by providing a death benefit to beneficiaries upon the insured's passing. This benefit can help cover funeral expenses, outstanding debts, mortgage payments, and other financial obligations, allowing the family to maintain their standard of living and avoid financial hardship during a difficult time.
Life insurance also provides an inheritance for loved ones, offering a financial legacy that can support their long-term financial goals, such as education, homeownership, or retirement. Property insurance, on the other hand, safeguards physical assets, such as homes, vehicles, or valuable possessions, against potential damage or loss due to events like fire, theft, or natural disasters.
By transferring the risk to an insurance provider, property insurance protects individuals from significant financial losses and allows them to recover and rebuild their lives without bearing the full burden of the expenses.
In summary, life insurance and property insurance are essential tools in financial planning as they provide protection, security, and support for individuals and their families. These policies offer financial stability, help accomplish long-term goals, and provide a sense of confidence in the face of unexpected events.
By including insurance assets as part of a comprehensive financial plan, individuals can ensure that their loved ones are financially protected and their own financial goals are supported, providing a solid foundation for a secure future.
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Problem 1 (12marks) Sally Sims just turned 20 and received a gift of $50,000 from her rich aunt. Sally would like to retire on her 55 th birthday and thinks she'll need to have about $2,000,000 saved by that time to maintain her lavish lifestyle. She plans to make a deposit at the end of each month until she is 50 into an account that she'll open with her aunt's gift. After age 50, she plans to stop making deposits and let the money grow until it reaches $2,000,000 when she turns 55 . Assume she can earn 7% compounded semi-annually. How much will Sally have to deposit into her account each month to achieve her objective?
Sally needs to deposit about $4,525.30 at the end of each month into an account that earns 7% compounded semi-annually for 35 years to accumulate $2,000,000.
Given, Sally just turned 20 and received a gift of $50,000 from her rich aunt. She would like to retire on her 55th birthday and thinks she'll need to have about $2,000,000 saved by that time to maintain her lavish lifestyle.She plans to make a deposit at the end of each month until she is 50 into an account that she'll open with her aunt's gift. After age 50, she plans to stop making deposits and let the money grow until it reaches $2,000,000 when she turns 55.Assuming she can earn 7% compounded semi-annually.
To find out how much Sally has to deposit into her account each month to achieve her objective.
Semi-annual interest rate = r = 7% / 2 is 3.5%
Time period of investment = n = 55 - 20 is 35 years
Compounding frequency per year = m = 2, PMT = ?, FV = $2,000,000, PV = $50,000.
Using the formula for future value of an annuity: FV = PMT × [[tex]{(1 + r/m)^(m *n)[/tex]} - 1] ÷ (r/m)
Here, we have PMT, FV, r, m, and n. We will solve this equation for PMT to get the monthly deposit required for Sally.
PMT = [FV × (r/m)] ÷ [{[tex](1 + r/m)^(m *n)}[/tex] - 1]
PMT = [2,000,000 × (0.035/2)] ÷ [[tex]{(1 + 0.035/2)^(2 *35)[/tex]} - 1]
Therefore, PMT ≈ $4,525.30.
Sally needs to deposit about $4,525.30 at the end of each month into an account that earns 7% compounded semi-annually for 35 years to accumulate $2,000,000.
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A wholesaler of pastries serving many independent cafes in an area is revaluating the "Vegan croissant" reorder point, i.e., the stock level in its warehouse that would trigger a replenishment order. The daily demand faced by the retailer for that specific croissant is normally distributed with an average of 8,000 items and a standard deviation of 1,100 items. After the manager places his order, he knows that he will receive it with an exact lead-time of 5 days. (Assume that orders are made immediately after the reorder point is reached and that the demand on each day is independent of the other)
What should the reorder point be set to in order to ensure that the chance of a stock out during the replenishment cycle is limited to a probability of 2%?
The manager of the pastry shop is worried he may have underestimated the variability of demand. Assuming he implements the re-order point from the previous part, what will be the stock out probability if the standard deviation of demand is, in fact, 1,400 items?
. The service level represents the desired probability of not experiencing a stockout during the lead time.
Given:
- Average daily demand (μ) = 8,000 items
- Standard deviation of daily demand (σ) = 1,100 items
- Lead time = 5 days
- Desired probability of not experiencing a stockout (service level) = 1 - 0.02 = 0.98
To calculate the reorder point, we need to find the demand during the lead time (LT). Since the demand is normally distributed, we can use the z-score formula to find the corresponding value from the standard normal distribution table.
Step 1: Calculate the z-score corresponding to the desired service level:
z = invNorm(service level) = invNorm(0.98)
Step 2: Calculate the demand during the lead time (LT):
Demand during LT = μ * LT
Step 3: Calculate the standard deviation during the lead time:
Standard deviation during LT = σ * sqrt(LT)
Step 4: Calculate the reorder point:
Reorder point = Demand during LT + (z * Standard deviation during LT)
Now let's calculate the reorder point:
Step 1: Calculate the z-score:
z = invNorm(0.98) ≈ 2.05
Step 2: Calculate the demand during the lead time:
Demand during LT = 8,000 * 5 = 40,000 items
Step 3: Calculate the standard deviation during the lead time:
Standard deviation during LT = 1,100 * sqrt(5) ≈ 2,460.57 items
Step 4: Calculate the reorder point:
Reorder point = 40,000 + (2.05 * 2,460.57) ≈ 45,035 items
Therefore, the reorder point should be set to approximately 45,035 items to ensure a probability of stockout during the replenishment cycle limited to 2%.
Now, let's calculate the stockout probability if the standard deviation of demand is 1,400 items:
Step 1: Calculate the z-score:
z = invNorm(0.98) ≈ 2.05
Step 2: Calculate the demand during the lead time:
Demand during LT = 8,000 * 5 = 40,000 items
Step 3: Calculate the standard deviation during the lead time (with increased variability):
Standard deviation during LT = 1,400 * sqrt(5) ≈ 3,130.5 items
Step 4: Calculate the reorder point:
Reorder point = 40,000 + (2.05 * 3,130.5) ≈ 46,408.25 items
With a standard deviation of 1,400 items, the reorder point would be approximately 46,408.25 items. However, the stockout probability cannot be determined without knowing the distribution of demand.
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Use a suitable diagram to explain how an expansionary fiscal
policy may affect the value of the Australian dollar against the
Chinese yuan (assume no change in policies in China)
6marks
An expansionary fiscal policy in Australia can have an impact on the value of the Australian dollar against the Chinese yuan.
When the Australian government implements expansionary fiscal measures such as increasing government spending or reducing taxes, it leads to an increase in aggregate demand and economic growth.
This, in turn, attracts foreign investors seeking investment opportunities in Australia, leading to an increase in demand for the Australian dollar. As the demand for the Australian dollar rises, its value appreciates relative to the Chinese yuan.
To illustrate this, we can use a diagram of the foreign exchange market. The diagram would show an upward shift in the demand curve for the Australian dollar, resulting in an appreciation of the Australian dollar against the Chinese yuan. This appreciation reflects the increased attractiveness of the Australian currency due to the expansionary fiscal policy.
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Р Question 11 The starting point (i.e., starting values for the decision variables) does not affect the solution found by Solver in a nonlinear optimization problem. True False 0 words DECISION TREES 2 pts
False. The starting point can affect the solution found by Solver in a nonlinear optimization problem as it determines the initial search direction and can lead to different local optima.
False. The starting point can have an impact on the solution found by Solver in a nonlinear optimization problem. Nonlinear optimization problems involve complex mathematical equations and multiple variables, making it challenging to find the optimal solution. The starting point serves as an initial guess or approximation for the solver to begin the optimization process. Different starting points can lead to different paths and potentially different local optimal solutions.
Since nonlinear optimization problems may have multiple local optima, the choice of starting point can influence which local optimum is reached. If the starting point is close to the global optimum, the solver is more likely to find the best solution. However, if the starting point is far from the global optimum, the solver may converge to a local optimum instead.
Therefore, selecting an appropriate starting point is important in nonlinear optimization to increase the likelihood of finding the desired solution.
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1. Answer the following questions and explain your work. 2. Do not attach any other pages. 3. Download, write your answers on this same Question sheet; next, to each question. 4. Don't write your name 5. Upload in the same drop box for the purpose of making comments 6. Don't change the questions or use different values? Question 1. In competitive markets, there are many small firms with each firm unable to influence the market price. Suppose company XYZ operates in the wheat market. The company produces and markets wheats at a Price =$40 per container. The firm's total costs are given as: TC=100+4Q+3Q 2
a) Find the Firm's marginal cost? Show your steps, including graphs. Review additional resources? Hint: See the rules for differentiation b) What is the firm's demand curve? Show it on a graph and label the axes showing P and Q c) What level of output should the firm produce? Hint: Set P=MC and solve for Q. Use a graph to show your answers as well
The firm's marginal cost is MC = 4 + 6Q.
What is the firm's marginal cost?The firm's demand curve represents the relationship between the price of the wheat (P) and the quantity of wheat demanded (Q).
Since the company operates in a competitive market, it faces a horizontal demand curve at the market price of $40 per container.
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Spencer Grant and Vaniteux (A). Spencer Grant is a New York-based investor. He has been closely following his investment in 500 shares of Vaniteux, a French firm that went public in February 2010 . When he purchased his 500 shares at €17.73 per share, the euro was trading at $1.3648/€. Currently, the share is trading at €27.55 per share, and the dollar has fallen to $1.416/€. a. If Spencer sells his shares today, what percentage change in the share price would he receive? b. What is the percentage change in the value of the euro versus the dollar over this same period? c. What would be the total return Spencer would earn on his shares if he sold them at these rates? a. If Spencer sells his shares today, what percentage change in the share price would he receive? The shareholder return is %. (Round to two decimal places.) b. What is the percentage change in the value of the euro versus the dollar over this same period? The percentage change in the value of the euro versus the dollar is %. (Round to two decimal places.) c. What would be the total return Spencer would earn on his shares if he sold them at these rates? If he sold his shares today, it would yield the following amount in euros ϵ (Round to two decimal places.) The sales proceeds in U.S. dollars is $ (Round to the nearest cent.)
(a) The percentage change in the share price for Spencer would be 55.53%.
(b) The percentage change in the value of the euro versus the dollar would be 3.75%.
(c) Total return would be 59.28%.
a. To calculate the percentage change in the share price, we can use the formula: ((New Price - Old Price) / Old Price) * 100.
Using this formula, the percentage change in the share price for Spencer would be: ((27.55 - 17.73) / 17.73) * 100 = 55.53%.
b. To calculate the percentage change in the value of the euro versus the dollar, we can use the formula: ((New Value - Old Value) / Old Value) * 100.
Using this formula, the percentage change in the value of the euro versus the dollar would be: ((1.416 - 1.3648) / 1.3648) * 100 = 3.75%.
c. To calculate the total return Spencer would earn on his shares, we need to consider both the change in the share price and the change in the value of the euro.
The total return would be: (Percentage Change in Share Price + Percentage Change in Euro Value) = (55.53% + 3.75%) = 59.28%.
If Spencer sells his shares today, he would earn a total return of 59.28%. In euros, this would be: 500 * 27.55 = €13,775.00 (rounded to two decimal places).
In U.S. dollars, this would be: €13,775.00 * 1.416 = $19,510.60 (rounded to the nearest cent).
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Brink’s Company: Activists Push for a Spin-off:
The strategic alternatives presented by MMI in December 2006 (Exhibit 7) essentially
offer two choices. The first option is to adopt greater leverage either directly in BCO or
through a leveraged buyout. The second option is to split up the company. Which option
do you prefer? Why?
Based on the information provided, I would prefer the second option of splitting up the company (Brink's Company). However, it is important to consider the specific circumstances, financial implications, and market conditions before making a final decision on whether to pursue a spin-off or other strategic alternatives.
Splitting up the company offers several potential benefits. Firstly, it allows for a more focused and streamlined approach to business operations. By dividing Brink's Company into separate entities, each segment can concentrate on its specific industry and tailor its strategies accordingly. This can lead to increased efficiency and competitiveness within each division.
Secondly, splitting up the company can unlock hidden value and provide better opportunities for investors. Different segments of Brink's Company may have varying growth prospects and risk profiles. By separating them, investors can choose to invest in the segment that aligns with their investment goals and risk appetite, potentially leading to higher returns.
Furthermore, a spin-off can enhance market visibility and valuation. Each independent entity can highlight its unique value proposition and attract investor interest based on its specific market dynamics and growth prospects. This can result in a higher overall valuation for the individual entities compared to the combined company.
Overall, the option of splitting up Brink's Company provides the opportunity for increased operational focus, potential value creation, and improved market visibility. By separating the company into distinct entities, each segment can optimize its strategies and operations, attracting specific investors and potentially unlocking hidden value. However, it is important to consider the specific circumstances, financial implications, and market conditions before making a final decision on whether to pursue a spin-off or other strategic alternatives.
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Assume that the corporate tax rate is 26%, personal tax rate is 28% and that dividends paid by corporations are taxed at 15% for the shareholders.
The founders of a newly formed business are debating between setting-up the firm as a partnership versus a corporation. The firm will not need to retain any earnings, so all of its after-tax income will be paid out to its investors, who will have to pay personal taxes on whatever they receive.
Assume the business is forecast to earn $300,000 on a pre-tax basis (all cash) and that it will distribute 100% of after-tax cash flows to the owners of the business.
If the firm is organized as a C-Corp, how much cash will the owners retain on an after-tax basis (account for all taxes)? Shareholders only pay the dividend tax rate on the distribution. Account for double taxation.
Selected Answer: 135864
In order to find out how much cash will the owners retain on an after-tax basis if the firm is organized as a C-Corp, we must use the following steps:Step 1: Find out the amount of pre-tax income earned by the company, which is $300,000.
Step 2: Calculate the corporate tax rate by multiplying the pre-tax income by the corporate tax rate. Therefore, the amount of corporate tax payable is 26% of $300,000, which is $78,000.Step 3: Deduct the corporate tax payable from the pre-tax income to find the after-tax income, which is $222,000 ($300,000 - $78,000).Step 4: Calculate the amount of dividend paid to shareholders by multiplying the after-tax income by the dividend tax rate of 15%. Therefore, the amount of dividend is $33,300 ($222,000 x 15%).Step 5: Deduct the amount of dividend paid to shareholders from the after-tax income to find the amount of cash retained by the owners. Therefore, the amount of cash retained by the owners is $188,700 ($222,000 - $33,300).Step 6: Calculate the personal tax payable by multiplying the amount of cash retained by the personal tax rate. Therefore, the amount of personal tax payable is 28% of $188,700, which is $52,836.Step 7: Deduct the personal tax payable from the amount of cash retained by the owners to find the final amount of cash retained by the owners. Therefore, the final amount of cash retained by the owners is $135,864 ($188,700 - $52,836). Hence, the selected answer 135864 is correct.
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The 2008 annual report of Bessemer Steel disclosed the following information relating to the company’s construction projects, debt, and interest cost (in thousands of dollars):
Construction in progress (relating to a component of property, plant, and equipment increased from P63,889 to P80,876 in 2008.Interest capitalized in 2008 of P5,674 was disclosed in the footnotes of the companies financial statements.Interest-bearing debt outstanding at the end of 2007: P190,000 of 9.5 percent notes, P135,000 of 11.125 percent notes, and P32,350 relating to a line of credit with an interest rate of 9%. Required:
Based on the information provided in the annual report, estimate the amount of interest to be capitalized in 2008. Give reasons why your estimate differs from the amount reported by the company. Assume that the construction payments were made uniformly during the year.
The company reported P5,674 of interest capitalized in 2008. The difference between our estimate and the reported amount could be due to several factors, such as rounding differences, different calculation methods, or adjustments made by the company based on specific accounting principles or policies.
To estimate the amount of interest to be capitalized in 2008, we need to calculate the weighted average interest rate for the interest-bearing debt outstanding at the end of 2007.
First, calculate the total interest-bearing debt outstanding at the end of 2007:
P190,000 + P135,000 + P32,350 = P357,350
Next, calculate the weighted average interest rate:
((P190,000 * 9.5%) + (P135,000 * 11.125%) + (P32,350 * 9%)) / P357,350 = 10.097%
Now, we can estimate the amount of interest to be capitalized in 2008 using the formula:
Interest capitalized = Construction in progress * Weighted average interest rate
Construction in progress increased from P63,889 to P80,876 in 2008, so the average construction in progress for the year is (P63,889 + P80,876) / 2 = P72,382.5
Interest capitalized in 2008 = P72,382.5 * 10.097% = P7,305.83
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Let M=PxX+ PyY represent the consumer's budget constraint, where M represents income, Px the price of Good x, and Py the price of Good Y. Initially Px is $2 and Py is $4., and M is $400
Assume that income (M) and the price of Good x (Px) remain unchanged, while the price of Good Y (Py) increases by 100%
Under this new scenario, the slope of the budget constraint remains unchanged.
True
|False
False..The slope of the budget constraint will not remain unchanged when the price of Good Y (Py) increases by 100%.
The slope of the budget constraint represents the rate at which the consumer can trade one good for another while keeping the same level of utility. It is calculated as the ratio of the price of Good X (Px) to the price of Good Y (Py).
Initially, when Px is $2 and Py is $4, the slope of the budget constraint is 2/4 = 0.5. This means that for every unit of Good X the consumer purchases, they must give up 0.5 units of Good Y to remain on the budget constraint.
However, when the price of Good Y increases by 100%, the new price becomes $8. The new slope of the budget constraint will be 2/8 = 0.25. This indicates that for every unit of Good X the consumer purchases, they now have to give up 0.25 units of Good Y.
Therefore, the slope of the budget constraint changes from 0.5 to 0.25 when the price of Good Y increases by 100%.
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Assume the spot Swiss franc is $0.7008 and the six-month forward rate is $0.6954. What is the minimum price that a six-month American call option with a striking price of $0.6804 should sell for in a rational market? Assume the annualized six-month Eurodollar rate is 3.5 percent. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Minimum price of call option
I cents
The minimum price of an American call option with a striking price of $0.6804 is 2.30 cents.A call option is an alternative contract that allows a buyer the right to acquire a particular commodity at a predetermined price within a defined period.
The purchaser has the option but is not required to buy the underlying asset. European and American options are two types of call options that are used. The option buyer profits from a rise in the underlying asset price. It is not possible to sell an option without first owning it. If the market is rational, the six-month American call option with a striking price of $0.6804 should sell for a minimum price of $0.0230. The following calculations support this.
The cost of carry for the underlying asset (spot Swiss franc) is as follows:
R = 3.5 percent/2
= 0.035/2 is 0.0175 percent per 6 months.
Cost of carry = (S × R) × t
= (0.7008 × 0.0175) × 0.5 is 0.006129.
The theoretical price of a 6-month futures contract on the Swiss franc with a price of $0.6804 is:
F = S × e(r-q)t
= 0.7008 × e(0.0175−0.006129)0.5
= 0.6928
Minimum price of American call option
C = S × N(d1) − PV(K) × N(d2)
C = S × N(d1) − e-r×t × K × N(d2) where:N (.) is the normal cumulative distribution function.
d1 = (ln(S/K) + [r + σ²/2] × t)/[σ × √t]
= (ln(0.7008/0.6804) + [0.0175 + 0.1182] × 0.5)/[0.1182 × √0.5]
= 1.2469d2 = d1 − [σ × √t] = 1.2469 − (0.1182 × √0.5)
= 0.8933
C = 0.7008 × N(1.2469) − e-0.035 × 0.5 × 0.6804 × N(0.8933)
= $0.0477
The minimum price that a six-month American call option with a striking price of $0.6804 should sell for in a rational market is C - F + K × e-r×t is $0.0230.
Therefore, the minimum price of an American call option with a striking price of $0.6804 is 2.30 cents.I cents.
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9. (Duration) How much will a bond with a duration of 4 and worth $900 change in price if the YTM increases by 2%? 10. (Bond valuation) Thumb Juice Corp.'s 15-year, $1,000 par value bonds pay 12% inte
1.The bond's price will decrease by $72. 2 a. The bond's market expected rate of return is approximately 11.29%. b. The value of the bond to you, given your required rate of return, is approximately $1,062.43. c. Whether you should purchase this bond or not depends on your personal investment strategy and preferences, considering factors such as the bond's value, market conditions, and your overall investment portfolio.
To calculate the price change of a bond with a duration of 4 when the yield to maturity (YTM) increases by 2%, we can use the formula:
Price Change = -Duration * Yield Change * Bond Price
Given:
Duration = 4
Yield Change = 2% (0.02)
Bond Price = $900
Price Change = -4 * 0.02 * $900
Price Change = -$72
The bond's price will decrease by $72.
a. The bond's market expected rate of return can be calculated by comparing the bond's coupon payment and its market price. It is given that the bond pays 12% interest annually and its market price is $1,062.20. The formula to calculate the expected rate of return is:
Market Expected Rate of Return = (Annual Coupon Payment / Market Price) + Annual Capital Gain Rate
Annual Coupon Payment = 12% of $1,000 = $120
Market Expected Rate of Return = ($120 / $1,062.20) + 0
Market Expected Rate of Return ≈ 0.1129 or 11.29%
b. The value of the bond to you, given your required rate of return, can be calculated using the bond valuation formula. The required rate of return is 10%.
Bond Value = (Annual Coupon Payment / Required Rate of Return) * [1 - (1 / (1 + Required Rate of Return)^n)] + (Par Value / (1 + Required Rate of Return)^n)
Where:
n = number of periods (15 years)
Par Value = $1,000
Bond Value = ($120 / 0.10) * [1 - (1 / (1 + 0.10)^15)] + ($1,000 / (1 + 0.10)^15)
Bond Value ≈ $1,062.43
The value of the bond to you is approximately $1,062.43.
c. Whether you should purchase this bond or not depends on your personal investment strategy and preferences. In this case, the market price of the bond is $1,062.20, and its value to you is $1,062.43. If you believe that the bond's value justifies the price and it aligns with your investment goals, you may consider purchasing it. However, it's important to conduct further analysis and consider factors such as the bond's credit rating, market conditions, and your overall investment portfolio before making a decision.
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Complete Question :
9. (Duration) How much will a bond with a duration of 4 and worth $900 change in price if the YTM increases by 2%? 10. (Bond valuation) Thumb Juice Corp.'s 15-year, $1,000 par value bonds pay 12% interest annually. The market price of the bonds is $1,062.20 and your required rate of return is 10%. a. Compute the bond's market expected rate of return. b. Determine the value of the bond to you, given your required rate of return. C. Should you purchase this bond? Why or why not?
A business that is owned by a parent company located in a foreign country is referred to as a foreign:
a. franchisee.
b. host company.
c. subsidiary.
d. licensee.
The correct answer is c. subsidiary. A business that is owned by a parent company located in a foreign country is referred to as a foreign subsidiary.
A business that is owned by a parent company located in a foreign country is commonly known as a foreign subsidiary. In this arrangement, the parent company has control and ownership over the subsidiary, which operates as a separate entity in the foreign country. The subsidiary follows the directives and strategies set by the parent company while adapting to the local market and legal requirements. This structure allows the parent company to expand its operations internationally and establish a presence in foreign markets.
The subsidiary benefits from the parent company's resources, expertise, and support, while contributing to the parent company's overall growth and global reach. The relationship between the parent company and the foreign subsidiary is characterized by ownership and control, with the subsidiary serving as an extension of the parent company's business activities in the foreign market.
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Problem 5 (30 points). Smith Company purchases components from three suppliers. Components purchased from Supplier A are priced at $5 each and used at the rate of 20,000 units per year. Components purchased from Supplier B are priced at $4 each and are used at the rate of 2,500 units per year. Components purchased from Supplier C are priced at $5 each and used at the rate of 900 units per year. Smith incurs a holding cost of 20 percent per year. Currently, Smith purchases a separate truckload from each supplier. As part of JIT drive, Smith has decided to aggregate purchases from the three suppliers. The trucking company charges a fixed cost of $400 for the truck with an additional charge of $100 for each stop. Thus, if Smith asks for a pickup from only one supplier, it charges $500; from two suppliers, it charges $600, and from three suppliers, it charges $700. Suggest a replenishment strategy for Smith that minimizes annual cost. Compare the cost of your strategy with Smith's current strategy of prdering separately from each supplier.
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By adopting the aggregated purchasing strategy, Smith can combine all components into a single truckload. This would result in a fixed transportation cost of $400, regardless of the number of suppliers.
Currently, Smith Company purchases components from three suppliers separately. However, by adopting a strategy of aggregating purchases, Smith can benefit from cost savings.
Under the current strategy, Smith incurs separate transportation costs for each supplier. This includes fixed costs of $400 per truckload and additional charges based on the number of stops. With three suppliers, the total transportation cost is $700.
By adopting the aggregated purchasing strategy, Smith can combine all components into a single truckload. This would result in a fixed transportation cost of $400, regardless of the number of suppliers. By reducing the number of stops, Smith can also save on additional charges.
Additionally, the aggregated purchasing strategy allows Smith to take advantage of economies of scale. By purchasing larger quantities, they can negotiate better prices with suppliers and potentially reduce component costs.
To compare the costs, Smith should consider the total annual cost, which includes component costs, holding costs, and transportation costs. By calculating the costs for each strategy, Smith can determine which approach is more cost-effective and choose the one with the lower total annual cost.
Overall, the strategy of aggregating purchases from the three suppliers is expected to minimize annual costs for Smith Company by reducing transportation expenses and potentially obtaining cost savings through economies of scale.
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Saunders Industrial Waste Management (SIWM) publicly indicates to analysts that it is comfortable with the somewhat disappointing earnings per share projection of US$1.16 for the quarter.Bernard Roberts, an analyst at Coffey Investments, is confident that SIWM management has understated the forecasted earnings so that the real announcement will cause an "upside surprise" and boost the price of SIWM stock. The "whisper number" (rumored) estimate based on extensive research and discussed among knowledgeable analysts is higher than US$1.16. Roberts repeats the US$1.16 figure in his research report to all Coffey clients but informally tells his large clients that he expects the earnings per share to be higher, making SIWM a good buy.Which of the following is true?Roberts failed to treat all clients fairly by passing on speculation about the upside earnings surprise Roberts failed to treat all clients fairly by not sharing his opinion with all clients Roberts behaved unethically by undermining Saunders Industrial Waste Management’s strategy Roberts behaved correctly by providing additional service to his best clients
By telling his significant clients about the rumor of the positive earnings surprise, Bernard Roberts acted unethically.
The analyst at Coffey Investments, Bernard Roberts, is certain that SIWM management has undervalued the anticipated earnings in the presented scenario so that the true announcement would result in a "upside surprise" and raise the price of SIWM shares. The "whisper number" (speculative) estimate is higher than US$1.16 and is based on thorough research and discussion among qualified analysts.
In his research report, Roberts reiterates the US$1.16 figure to all Coffey clients, but he also informs his major clients informally that he anticipates increased earnings per share, which will make SIWM a good investment. By passing along rumors about the positive earnings surprise, he violated the equitable treatment of all clients by giving his opinion with only major clients.
Roberts' conduct is unethical because he is sharing information that is not publicly available, and he is sharing it selectively. Bernard Roberts did not behave correctly by providing additional service to his best clients as he passed on speculation about the upside earnings surprise only to his large clients, which is not a fair practice.
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Valuation with pricelearnings multiples For the firm shown in the following table, use the data given to estimate its common stock value employing priceleamings (PjE) mutiplas. (Cick on the leon here P in order to copy the contents of the data table below into a spreadsheet.) The value of the femis common stock is (Round to the nearost cent)
The value of the firm's common stock can be estimated using price/earnings (P/E) multiples. By multiplying the firm's earnings per share (EPS) by its P/E ratio, you can calculate the estimated value of the common stock.
The value of the firm's common stock using price/earnings multiples is estimated by multiplying the firm's earnings per share (EPS) by the price/earnings ratio (P/E). To calculate the value, you would multiply the EPS of the firm by its P/E ratio. The result will give you the estimated value of the firm's common stock.
In this case, you would need to refer to the data table provided to find the EPS and P/E ratio for the firm. Once you have these values, you can multiply them together to calculate the estimated value of the firm's common stock. Remember to round the answer to the nearest cent.
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Nonconstant Dividend Growth Valuation A company currenty pays a dividend of $3 pec share (00=53). th is estimated that the compary's dividend will grow at a rate of 25% per year for the next 2 years and then at a constant rate of 0% theceafter. The company's stock has a beta of 1.3, the risk-free rate is 6.5%, and the market risk, premium is 1.5%. What is your estimate of the stock's current price? De not round intermediate calculations. Round your answor to the neacest cent.
The estimated current price of the stock is $45.76.
To estimate the stock's current price, we can use the dividend discount model (DDM) with non-constant dividend growth. Here's how we can calculate it:
Step 1: Calculate the dividends for the first two years.
Year 1 dividend = $3 * (1 + 25%) = $3 * 1.25 = $3.75
Year 2 dividend = $3.75 * (1 + 25%) = $3.75 * 1.25 = $4.69
Step 2: Calculate the dividend in Year 3 and onwards using the constant growth rate.
Dividend in Year 3 = $4.69 * (1 + 0%) = $4.69
Step 3: Calculate the present value of the dividends using the required rate of return.
PV = Dividend / (1 + r)^n, where r is the required rate of return and n is the number of years.
PV of Year 1 dividend = $3.75 / (1 + 0.065)^1 = $3.52
PV of Year 2 dividend = $4.69 / (1 + 0.065)^2 = $4.18
Step 4: Calculate the terminal value of the stock using the constant growth model.
Terminal value = Dividend in Year 3 / (r - g), where g is the constant growth rate.
Terminal value = $4.69 / (0.065 - 0) = $72.15
Step 5: Calculate the present value of the terminal value.
PV of terminal value = Terminal value / (1 + r)^n, where n is the number of years from Year 3 onwards.
Assuming a long-term horizon, let's use n = 10 (you can adjust this based on your specific assumptions).
PV of terminal value = $72.15 / (1 + 0.065)^10 = $38.06
Step 6: Calculate the stock's current price by summing the present values of dividends and the present value of the terminal value.
Current price = PV of Year 1 dividend + PV of Year 2 dividend + PV of terminal value
Current price = $3.52 + $4.18 + $38.06 = $45.76
Therefore, the estimated current price of the stock is $45.76.
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18.4
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Discount
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Credit related st
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135 5404 Tightening Credit Terms Jean Nowak, the new credit manager of Farpoint Communications, was alarmed to find that Farpoint sells on credit terms of net 70 days while industry-wide credit terms have recently been lowered to net 30 days. On annual credit sales of $10 million, Farpoint currently averages 78 days of sales in accounts receivable. Nowak estimates that tightening the credit terms to 30 days would reduce annual sales to $9.6 million, but accounts receivable would drop to 35 days of sales and the savings on investment in them should more than overcome any loss in profit.
Farpoint's variable cost ratio is 80%, and taxes are 26%. If the interest rate on funds invested in receivables is 12%, should the change in credit terms be made?
Yes, the change in credit terms should be made.
By tightening the credit terms from net 70 days to net 30 days, Farpoint Communications can improve its cash flow and reduce the average number of days of sales in accounts receivable from 78 to 35. This means that the company will receive payment for its sales more quickly and will have a lower investment in accounts receivable. Although the change in credit terms is estimated to reduce annual sales from $10 million to $9.6 million, the savings on investment in accounts receivable should more than compensate for any loss in profit.
The variable cost ratio of Farpoint is given as 80%, which means that 80% of the sales revenue goes towards covering the variable costs. With the change in credit terms, the reduction in sales will also lead to a reduction in variable costs. Additionally, the interest rate on funds invested in receivables is 12%. By reducing the average number of days in accounts receivable, Farpoint can lower its investment in receivables and save on interest expenses.
Considering these factors, the change in credit terms is a financially beneficial decision for Farpoint Communications. It will improve cash flow, reduce investment in accounts receivable, and result in savings on interest expenses.
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Use the funding liquidity and market liquidity to explain how
the liquidity spiral was created in the financial market which
caused the financial crisis in 2008-2009.
The liquidity spiral in the 2008-2009 financial crisis was caused by a combination of funding and market liquidity problems, leading to a vicious cycle of declining prices and increasing losses.
The liquidity spiral that caused the financial crisis in 2008-2009 was created due to a combination of funding liquidity and market liquidity problems. Funding liquidity refers to the ability of financial institutions to obtain short-term funding to meet their obligations, while market liquidity refers to the ability to buy or sell assets quickly without significantly affecting their prices.
During the housing boom, banks and financial institutions were providing mortgages to borrowers who were not creditworthy and were unable to repay their loans. These mortgages were then packaged into securities and sold to investors around the world. However, as the number of defaults on these mortgages increased, the value of these securities began to decline, leading to a decrease in market liquidity.
As the market liquidity decreased, the value of these securities fell further, and financial institutions that had invested heavily in them began to experience significant losses. This led to a decline in funding liquidity, as these institutions were unable to obtain short-term funding to meet their obligations. As a result, they were forced to sell their assets to meet their obligations, which further reduced the market liquidity and caused the prices of these securities to fall even further.
This created a vicious cycle, where declining market liquidity led to a decline in funding liquidity, which further reduced market liquidity, and so on. This liquidity spiral ultimately led to the collapse of several large financial institutions and a global financial crisis.
In summary, the liquidity spiral was created due to a combination of funding liquidity and market liquidity problems, where declining market liquidity led to a decline in funding liquidity, which further reduced market liquidity and caused a vicious cycle of declining prices and increasing losses.
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Current Attempt in Progress Oriole Company's record of transactions concerning part X for the month of April was as follows. Compute the inventory at April 30 on each of the following bases. Assume that perpetual inventory records are kept in units only. (1) First-in, first-out (FIFO). (2) Last-in, first-out (LIFO). (3) Average-cost. (Round final answers to 0 decimal places, eg. 6,548.)
Based on the given information, we need to compute the inventory at April 30 using three different methods: FIFO, LIFO, and average-cost.
For FIFO, we assume that the earliest acquired units are sold first. So, we calculate the inventory by adding up the cost of the remaining units at April 30.
For LIFO, we assume that the most recently acquired units are sold first. Therefore, we calculate the inventory by adding up the cost of the remaining units at April 30.
For average-cost, we take the average cost per unit by dividing the total cost of all units by the total number of units. Then, we multiply the average cost per unit by the remaining units at April 30 to calculate the inventory.
In conclusion, we can compute the inventory at April 30 using the FIFO, LIFO, and average-cost methods.
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Using the quantity equation, if M₁ = $1,000, Pt = 1.1, and Y₁ = 100,000, then the velocity of money is: 100,000. d. e. a. b. 0.09. C. 110. 9.09. 0.11.
The quantity equation is represented as MV=PY, where M stands for the Money supply, V for the Velocity of Money, P for the price level, and Y for Real Gross Domestic Product. The correct option is c. 110.
To solve this equation for velocity of money, we can use the following formula;V = PY/MSubstituting the given values: M₁ = $1,000, Pt = 1.1, and Y₁ = 100,000 in the equation above we get;V = (1.1 x 100,000)/$1,000 = 110Therefore, the velocity of money is 110. Hence, the correct option is c. 110.
The Quantity Equation is a mathematical formula that shows the relationship between money supply (M), the velocity of money (V), the price level (P), and real output (Y).The equation is:M × V = P × YGiven:M₁ = $1,000Pt = 1.1Y₁ = 100,000The velocity of money can be determined by substituting the given values in the quantity equation:M₁ × V = P₁ × Y₁1000V = (1.1)(100,000)Therefore, V = 110. Hence, the correct option is C. 110.
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Min has decided that she would like to spend $57,600 per year in retirement. If she expects to be retired for 24 years, and her investments will continue to earn 5% in retirement, how much does she have to have accumulated before she can retire?
The Min needs to have accumulated approximately $890,640 before she can retire in order to meet her retirement income goal.
To calculate the amount Min needs to have accumulated before retiring, we can use the formula for the present value of an annuity:
PV = PMT × (1 - (1 + r)⁻ⁿ) / r
Where:
PV = Present Value (accumulated amount)
PMT = Payment per year in retirement ($57,600)
r = Interest rate per year (5% or 0.05)
n = Number of years in retirement (24)
Substituting the given values into the formula, we can calculate the present value:
PV = $57,600 × (1 - (1 + 0.05)⁻²⁴) / 0.05
PV = $57,600 × (1 - 0.223) / 0.05
PV = $57,600 × 0.777 / 0.05
PV = $890,640
Therefore, Min needs to have accumulated approximately $890,640 before she can retire in order to meet her retirement income goal.
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Calculate the fair present value of the following bonds, all of which pay interest semiannually, have 22 years remaining to maturity, and have a required rate of return of 10%.
a. The bond has a 6% coupon rate.
b. The bond has an 8% coupon rate.
c. The bond has a 10% coupon rate.
d. What do your answers to part (a) through (c) say about the relation between coupon rates and present value?
In order to calculate the fair present value of the given bonds, we'll use the formula for the present value of a bond with semi-annual payments.
How to find?The formula is:
[tex]PV = (C / (1 + r/k)^(k*t)) + (FV / (1 + r/k)^(k*t))[/tex]
Where,
PV is the present value of the bond
C is the coupon payment
FV is the face value or par value of the bond
r is the required rate of return
k is the number of payments per year
t is the total number of payments (years * payments per year)
Now, let's calculate the fair present value of each bond:
a) The bond has a 6% coupon rate.
Coupon payment = 6% of face value
= 0.06 * $1000
= $60
Face value = $1000
Required rate of return = 10%
Payments per year = 2
Time to maturity = 22 years.
Total number of payments = 22 * 2
= 44PV
= (60 / (1 + 0.10/2)^(2*44)) + (1000 / (1 + 0.10/2)^(2*44))
= $707.24
b) The bond has an 8% coupon rate.
Coupon payment = 8% of face value
= 0.08 * $1000
= $80
Face value = $1000
Required rate of return = 10%Payments per year = 2Time to maturity = 22 years.
Total number of payments = 22 * 2
= 44PV
= (80 / (1 + 0.10/2)^(2*44)) + (1000 / (1 + 0.10/2)^(2*44))
= $895.26
c) The bond has a 10% coupon rate.
Coupon payment = 10% of face value
= 0.10 * $1000
= $100
Face value = $1000
Required rate of return = 10%
Payments per year = 2Time to maturity = 22 years
Total number of payments = 22 * 2
= 44
[tex]PV = (100 / (1 + 0.10/2)^(2*44)) + (1000 / (1 + 0.10/2)^(2*44))[/tex]
= $1083.29
d) The present value of the bonds with a higher coupon rate is greater than the present value of bonds with a lower coupon rate.
In other words, there is a positive relationship between coupon rates and present value.
This is because a bond with a higher coupon rate provides more cash flow in the form of interest payments, so investors are willing to pay more for it.
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Which of the following would NOT be a way to implement comparative advantage? IBM exports computers to Egypt. Computer hardware is designed in the United States but manufactured and assembled in Korea. Water of the greatest purity is obtained from wells in Oregon, bottled, and exported worldwide. All of the above are examples of ways to implement comparative advantage.
All of the above are examples of ways to implement comparative advantage.
In economics, comparative advantage refers to the ability of an individual or firm to produce goods and services at a lower opportunity cost than another individual or firm. It enables a country to produce goods and services more efficiently than its trading partners. IBM exports computers to Egypt, computer hardware is designed in the United States but manufactured and assembled in Korea, and water of the greatest purity is obtained from wells in Oregon, bottled, and exported worldwide are all examples of ways to implement comparative advantage.
Comparative advantage is a principle that explains why trade happens between countries. It says that countries should produce and export those goods and services that they can produce more efficiently, that is, at lower opportunity cost, than other countries. The concept of comparative advantage implies that countries can benefit from trading with one another, even if one country is more efficient in producing all goods and services.
This is because countries can specialize in producing those gse and services in which they have a comparative advantage, and trade with other countries to obtain the goods and services that they cannot produce efficiently.
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