The two-year forward price is approximately $37.37, which corresponds to option b.
the two-year forward price can be calculated using the formula:
forward price = spot price * (e⁽ʳ * t⁾) - income
where:
spot price = $35
risk-free rate (continuous compounding) = 5% = 0.05
income = $1.25
t = 2 years
using the given values, we can calculate the two-year forward price as follows:
forward price = $35 * (e⁽⁰.⁰⁵ * ²⁾) - $1.25
forward price = $35 * (e⁰.¹⁰) - $1.25
forward price = $35 * 1.10517 - $1.25
forward price ≈ $38.88 - $1.25
forward price ≈ $37.37 in this scenario, we have a spot price of an investment asset, which is given as $35. the risk-free rate for all maturities is 5% with continuous compounding, meaning that the interest is continuously compounded over time.
additionally, the investment asset provides an income of $1.25 at the end of the first year. we are required to calculate the two-year forward price for this asset.
the forward price represents the expected price of an asset at a future date. it takes into account factors such as the spot price, the risk-free rate, and any income generated by the asset.
to calculate the two-year forward price, we can use the formula:
forward price = spot price * (e⁽ʳ * t⁾) - income
where:
spot price = $35
risk-free rate (continuous compounding) = 5% = 0.05
income = $1.25
t = 2 years
using the formula, we substitute the given values:
forward price = $35 * (e⁽⁰.⁰⁵ * ²⁾) - $1.25
forward price = $35 * (e⁰.¹⁰) - $1.25
to calculate the exponential term (e⁰.¹⁰), we raise the mathematical constant e (approximately 2.71828) to the power of 0.10, which gives us approximately 1.10517.
forward price = $35 * 1.10517 - $1.25
forward price ≈ $38.88 - $1.25
forward price ≈ $37.37
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Hotel Sunny Slopes was built in remote areas of Northern British Columbia 25 years ago, but due to decreasing tevel of snow in the area has been experiencing declining occupancy percentages and revenues. In order to secure the revenue generating potential of the hotel's facilities, it is the most advisable to Select one: a. remove the restaurant from the hotel. b. consider adding new facilities. c. consider cutting the operating costs. d. consider hiring a PR team that will advertise the hotel's new services.
To boost revenue at Hotel Sunny Slopes in Northern BC, adding new facilities is advisable to counter declining occupancy and revenues due to decreasing snow levels.
To secure the revenue generating potential of Hotel Sunny Slopes, the most advisable option would be to consider adding new facilities. By adding new facilities, the hotel can diversify its offerings and attract a wider range of guests.
This can help to counteract the declining occupancy percentages and revenues caused by the decreasing level of snow in the area. The addition of new facilities could include amenities or activities that are not heavily dependent on snow, such as a spa, fitness center, conference rooms, or recreational facilities suitable for other seasons.
This way, the hotel can attract guests throughout the year and generate additional revenue streams.
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Wedge received the following benefits from his employer this year. What amount must Wedge include in his gross income? $10,600 $9,400 $11,070 $7,000 $0-none of these benefits are included in gross income.
In Wedge's case, none of the benefits mentioned in the options provided are taxable. Therefore, Wedge does not need to include any of these amounts in his gross income, $0 - none of these benefits are included in gross income.
In general, the value of most employer-provided benefits is included in an employee's gross income. However, there are certain benefits that are specifically excluded from gross income. From the options provided, Wedge does not need to include any of the mentioned amounts in his gross income. This means that none of these benefits are taxable.
When determining whether an employer-provided benefit should be included in an employee's gross income, we refer to the Internal Revenue Service (IRS) guidelines. These guidelines specify which benefits are taxable and which are not.
The options provided in the question - $10,600, $9,400, $11,070, $7,000, and $0 - represent various amounts that Wedge might have received from his employer. However, none of these amounts need to be included in his gross income.
It is important to note that specific benefits, such as health insurance premiums paid by the employer, contributions to retirement plans, and educational assistance up to a certain limit, are generally excluded from gross income. Additionally, certain fringe benefits like meals and lodging provided on the employer's premises, as well as qualified transportation benefits, may also be excluded.
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when monopolistically competitive firms advertise, in the long run
When monopolistic ally competitive firms advertise, in the long run : they will still earn zero economic profit. Option B is correct .
Over the long haul in monopolistic contest any monetary benefits or misfortunes will be wiped out by section or by leave, leaving firms with zero financial benefit. An industry that is monopolistic and competitive will have some excess capacity; This could be thought of as the price of having so many different products because of this market structure.
Advertising by monopolistic rivals is risky because demand may rise and become inelastic, while the marginal cost (MC) and average cost (AC) are likely to rise simultaneously.
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Complete question as follows :
When monopolistic ally competitive firms advertise, in the long run:
a. they can earn positive economic profit by increasing market share.
b. they will still earn zero economic profit.
c. the market price must rise.
d. the market price must fall
When discussing the impacts of the Internet, we observed that marketplaces like Samsung or Apple are edging out the middlemen. We referred to this opportunity of digitalization as:
Disintermediation
Reintermediation
long tail
self-service
disintermediation.
Disintermediation is the process of cutting out intermediarie in a supply chain. In the case of marketplaces like Samsung or Apple, they are cutting out traditional retailers by selling their products directly to consumers.
This has allowed them to reduce costs and improve margins.
Reintermediation is the process of adding new intermediaries to a supply chain. This can happen when new technologies or platforms create new opportunities for intermediaries to add value. For example, Amazon has created a new role for intermediaries by providing fulfillment services to third-party sellers.
The long tail is a concept in economics that refers to the long tail of products that are not as popular as the mainstream products. In the past, these products were often ignored by retailers because they were not profitable to sell. However, the Internet has made it possible for retailers to sell these products to a wider audience.
Self-service is a business model in which customers are able to complete transactions without the assistance of a salesperson or customer service representative. This model is often used in online businesses, but it can also be used in brick-and-mortar stores.
In the case of marketplaces like Samsung or Apple, they are not using self-service. They are still providing customer service to their customers, but they are cutting out the traditional retailers. This is an example of disintermediation.
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1. On January 1, 2019 Denny's Burgers sold a 20 year Bond issue of $1,500,000. The Bonds were issued at a sale price of 95 . The Bonds require semiannual interest payments on July 1 and January 1 at a stated rate of 8%.
Required:
a. Journalize the issuance of the bonds on January 1, 2019.
b. Journalize the interest payment of July 1 , 2019 and any amortization of discount or premium.
c. Journalize the accrual of interest on December 31,2019 and any amortization of discount or premium.
d. Journalize the payment of interest on January 1, 2020.
Submit your journal to instructor
a. Journalize the issuance of the bonds on January 1, 2019:
Cash $1,425,000
Discount on Bonds Payable $75,000
Bonds Payable $1,500,000
Explanation: The journal entry records the issuance of bonds at a sale price of 95% of the face value. The face value of the bonds is $1,500,000, but since they are issued at a discount of $75,000 (5% of $1,500,000), the cash received is $1,425,000.
b. Journalize the interest payment of July 1, 2019, and any amortization of discount or premium:
Interest Expense $60,000
Discount on Bonds Payable $3,750
Cash $56,250
Explanation: The journal entry records the semiannual interest payment on the bonds. The interest expense is calculated as ($1,500,000 * 8% * 6/12), which equals $60,000. Since the bonds were issued at a discount, the discount on the bonds payable needs to be amortized. The amortization is calculated as ($75,000 * 6/40), which equals $3,750. The net cash paid to bondholders is $56,250 ($60,000 - $3,750).
c. Journalize the accrual of interest on December 31, 2019, and any amortization of discount or premium:
Interest Expense $60,000
Discount on Bonds Payable $3,750
Interest Payable $56,250
Explanation: The journal entry records the accrual of interest expense for the period from July 1, 2019, to December 31, 2019. The interest expense is calculated the same way as in part b. The discount on bonds payable is further amortized, and the interest payable represents the accrued interest to be paid on the next interest payment date.
d. Journalize the payment of interest on January 1, 2020:
Interest Payable $56,250
Cash $56,250
Explanation: The journal entry records the payment of accrued interest on the bonds on January 1, 2020. The interest payable amount represents the accrued interest from December 31, 2019. The payment is made in cash.
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You are building a free cash flow to the firm model. You expect sales to grow from $1.6 billion for the year that just ended to $2.88 billion five years from now. Assume that the company will not become any more or less efficient in the future. Use the following information to calculate the value of the equity on a per share basis 3. Assume that the company currently has 5576 million of net PPBE. b. The company currently has $192 million of net working capital. e. The company has operating margins of 11 percent and has an effective tax rate of 29 percent d. The company has a weighted average cost of capital of 10 percent. This is based on a capital structure of two-thirds equity and one-third debt. e. The firm has 1 milion shares outstanding Do not round intermediate calculations. Round your answer to the nearest cent.
Rounding the answer to the nearest cent, the value of equity on a per share basis is -$793.98.
To calculate the value of the equity on a per share basis, we need to use the free cash flow to the firm model. Let's break it down step-by-step:
1. Calculate the free cash flow (FCF) for each year:
- FCF = Sales - Operating Costs - Taxes - Change in Net Working Capital - Capital Expenditures
- Given that the operating margin is 11% and the effective tax rate is 29%, we can calculate the operating costs and taxes:
- Operating Costs = Sales * (1 - Operating Margin)
= $1.6 billion * (1 - 0.11)
= $1.424 billion
- Taxes = Operating Costs * Effective Tax Rate
= $1.424 billion * 0.29
= $412.96 million
- Since we are assuming the company will not become more or less efficient, we can assume no change in net working capital and capital expenditures:
- Change in Net Working Capital = $192 million
- Capital Expenditures = 0
- Now we can calculate the FCF for the year that just ended:
- FCF = $1.6 billion - $1.424 billion - $412.96 million - $192 million - $0
= -$428.96 million
2. Calculate the FCF for the fifth year:
- Given that the sales are expected to grow to $2.88 billion, we can calculate the operating costs and taxes using the same margins and rates:
- Operating Costs = $2.88 billion * (1 - 0.11)
= $2.5632 billion
- Taxes = $2.5632 billion * 0.29
= $743.168 million
- Again, assuming no change in net working capital and capital expenditures:
- Change in Net Working Capital = $192 million
- Capital Expenditures = 0
- Now we can calculate the FCF for the fifth year:
- FCF = $2.88 billion - $2.5632 billion - $743.168 million - $192 million - $0
= -$618.368 million
3. Calculate the present value of the FCFs:
- We will discount the FCFs using the weighted average cost of capital (WACC) of 10%.
- The present value of the FCFs can be calculated using the formula:
- PV = FCF / (1 + WACC)^n, where n is the number of years.
- Calculate the present value for each year:
- PV1 = -$428.96 million / (1 + 0.1)^1
= -$389.96 million
- PV5 = -$618.368 million / (1 + 0.1)^5
= -$404.02 million
4. Calculate the total present value of the FCFs:
- Total PV = PV1 + PV5
= -$389.96 million + -$404.02 million
= -$793.98 million
5. Calculate the value of equity on a per share basis:
- Divide the total present value of the FCFs by the number of shares outstanding:
- Value of Equity per Share = Total PV / Number of Shares
= -$793.98 million / 1 million
= -$793.98
Finally, rounding the answer to the nearest cent, the value of equity on a per share basis is -$793.98.
I hope this helps! Let me know if you have any further questions.
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corporate governance revolves around the relationship between which two parties?
The relationship in corporate governance revolves around the shareholders and the board of directors.
In corporate governance, the relationship between two key parties plays a crucial role in the effective functioning of a company. These two parties are the shareholders and the board of directors.
The shareholders are the owners of the company who invest their capital and expect a return on their investment. They have the power to elect the board of directors and make important decisions regarding the company's operations. Shareholders are interested in maximizing their wealth and ensuring the company's success.
The board of directors is responsible for overseeing the company's management and making strategic decisions on behalf of the shareholders. They are accountable for ensuring the company's long-term success and protecting the interests of the shareholders. The board of directors sets the company's goals, hires and evaluates the CEO, and approves major decisions such as mergers and acquisitions.
The relationship between shareholders and the board of directors is based on trust, transparency, and accountability. Shareholders rely on the board of directors to act in their best interests and make decisions that will maximize the value of their investment. The board of directors, in turn, is accountable to the shareholders and must act in a responsible and ethical manner.
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The most important aspect about of a resume is quantifying your responsibilities and accomplishments. Explain what this means and give and example. (Be specific and detailed-at least 2 paragraphs in length)
Quantifying responsibilities and accomplishments on a resume means using measurable metrics and numbers to showcase achievements and their impact.
Quantifying your responsibilities and accomplishments on a resume means providing specific and measurable details about the tasks you performed and the results you achieved in your previous roles. It involves using quantifiable metrics, numbers, percentages, or other tangible evidence to demonstrate the impact and scope of your work. This approach not only provides concrete evidence of your abilities but also helps employers understand the value you can bring to their organization. Here's a step-by-step explanation:
Step 1: Identify Your Responsibilities:
Start by listing the main responsibilities and duties you had in each of your previous positions. Break down your roles into specific tasks and functions that were essential to your job.
Step 2: Determine Measurable Outcomes:
For each responsibility, think about the outcomes or results that can be quantified. Consider metrics such as revenue generated, cost savings, percentage improvements, time saved, or any other relevant measures.
Step 3: Quantify Using Numbers and Figures:
Once you have identified the measurable outcomes, quantify them using specific numbers or figures. For example, instead of saying "Managed a marketing campaign," you could say "Managed a $100,000 marketing campaign that resulted in a 20% increase in sales."
Step 4: Provide Context and Impact:
In addition to providing numbers, give context to your achievements by explaining the scope and impact of your work. Describe the size of the team or project, the budget you worked with, or the market reach you achieved. This helps employers understand the scale and significance of your accomplishments.
Step 5: Use Action Verbs and Concise Language:
When describing your responsibilities and accomplishments, use strong action verbs to convey your proactive approach. Be concise and specific in your language to make a strong impact in a limited space.
Example:
- Instead of saying "Responsible for managing a team of sales representatives," you can say "Led a team of 10 sales representatives, exceeding monthly sales targets by an average of 25%."
By quantifying your responsibilities and accomplishments, you provide concrete evidence of your capabilities and achievements, making your resume more compelling and impactful. It helps employers see your potential contribution to their organization and sets you apart from other candidates. Remember to be specific, provide context, and use quantifiable metrics to showcase your success.
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strong pressure to adapt a company’s products for local markets, decentralized decision making is called_____.
Strong pressure to adapt a company's products for local markets and decentralized decision-making is called localization.
Localization refers to the process of adapting a company's products or services to meet the specific needs and preferences of local markets. It involves customizing various aspects of the product, such as features, packaging, marketing messages, and pricing, to align with the local culture, language, regulations, and consumer preferences. Decentralized decision-making, on the other hand, refers to a management approach where decision-making authority is delegated to lower levels within the organization, allowing local teams or subsidiaries to make decisions based on their understanding of the local market dynamics. This combination of adapting products for local markets and granting decision-making autonomy is referred to as localization.
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If competition also known as perfect competition rarely exists in the economy, then why study such a model? Should we study "ideal types" even though they may not be duplicated in the real-world economy?
Studying perfect competition provides valuable insights, analytical tools, and policy guidance for understanding and improving real-world economies.
The study of perfect competition, even though it may not exist in the real-world economy, is important for several reasons:
1. Simplified model: Perfect competition serves as a benchmark or reference point for economists to understand how markets work. By studying this idealized model, economists can analyze the outcomes and behaviors that arise in more complex market structures.
2. Analytical tool: Perfect competition helps economists identify and understand the impact of various factors on market outcomes. It allows them to isolate and study specific elements, such as the effects of changes in demand, supply, or technology on prices and quantities.
3. Policy implications: The insights gained from studying perfect competition can guide policymakers in designing and evaluating economic policies. By understanding the ideal conditions and outcomes of perfect competition, policymakers can strive to create an environment that promotes fair competition and efficiency.
In summary, while perfect competition may not exist in reality, studying this model provides valuable insights, analytical tools, and policy implications for understanding and improving real-world economies.
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"According to the consumption function stated above, consumption
is a function of disposable income. This implies that the saving
schedule is _____.
According to the consumption function stated above, the saving schedule is complementary or inverse to the consumption schedule. As consumption is a function of disposable income, saving is the residual amount of disposable income that is not consumed. Therefore, when consumption increases, saving decreases, and vice versa. The relationship between consumption and saving is essential in understanding how changes in disposable income affect saving behavior and overall economic stability.
The consumption function suggests that consumption is determined by disposable income. Disposable income represents the income available to individuals after taxes and other deductions. As disposable income increases, individuals have more resources available for consumption, leading to an increase in consumption expenditure. Conversely, when disposable income decreases, consumption expenditure also decreases.
The saving schedule can be understood as the opposite of the consumption schedule. Since saving is the residual amount of disposable income that is not consumed, it is directly influenced by changes in consumption. When consumption increases, individuals save less because a larger portion of their disposable income is being consumed. On the other hand, when consumption decreases, individuals save more because a smaller proportion of their disposable income is being consumed.
The saving schedule is complementary or inverse to the consumption schedule. The two schedules work in tandem, with changes in consumption directly impacting saving behavior. This relationship is crucial in analyzing the factors that influence saving patterns and their implications for economic stability and growth.
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an organization can try to make its workplace safer by
Ensuring a safe workplace is a crucial responsibility for any organization. A safer workplace not only protects employees from harm and injury but also promotes productivity, boosts morale, and reduces absenteeism. Here are several strategies an organization can employ to make its workplace safer:
Conduct thorough risk assessments: Regularly assess potential hazards in the workplace, identify high-risk areas, and evaluate the severity and likelihood of accidents. This information will guide the implementation of appropriate safety measures.
Establish clear safety policies: Develop comprehensive safety policies and procedures that address various aspects of the workplace, such as emergency response, equipment operation, ergonomics, and personal protective equipment (PPE). Communicate these policies effectively to all employees and ensure they are readily accessible.
Provide adequate training: Offer comprehensive training programs to educate employees about safety protocols, emergency procedures, and the correct use of equipment. Training should be mandatory for all employees, including new hires, and should be periodically reinforced through refresher courses.
Encourage reporting and address concerns: Create a culture of open communication where employees feel comfortable reporting safety concerns, near misses, or hazardous conditions. Establish reporting mechanisms such as anonymous reporting channels, suggestion boxes, or regular safety meetings to address and resolve these issues promptly.
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he was a poor scottish immigrant who started as a teenaged textile worker and became the baron of the steel industry:
The individual being described is Andrew Carnegie, a Scottish immigrant who began his career as a teenage textile worker and went on to become a prominent figure in the steel industry.
Andrew Carnegie was born in Scotland in 1835 and immigrated to the United States with his family in 1848. He started his working life as a bobbin boy in a cotton factory, but his ambition and entrepreneurial spirit led him to venture into the steel industry. Carnegie recognized the potential of steel and its applications in the growing industrial landscape.
Through strategic investments, acquisitions, and vertical integration, Carnegie built an empire in the steel industry. He pioneered innovative practices, such as the use of the Bessemer process for steel production, and developed efficient production methods. Carnegie's company, Carnegie Steel Corporation, became one of the largest and most profitable steel companies in the world.
As his wealth and influence grew, Andrew Carnegie became known as the "baron of the steel industry." However, he also became a prominent philanthropist, dedicating much of his later life to charitable endeavors and funding various cultural and educational institutions.
In conclusion, Andrew Carnegie's journey from a poor Scottish immigrant to a baron of the steel industry is a testament to his determination, business acumen, and contribution to the development of the American steel industry.
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Suppose a project requires an amount of C0 dollars today, but the project will generate a revenue of FV1 one year in the future, FV2 two years in the future, FV3 three years in the future, and so on for n years. If the interest rate is i, what is the net present value of the project? [From your textbook]
It's important to note that a positive NPV suggests that the project is expected to generate more value than the initial investment, while a negative NPV indicates that the project may not be financially viable.
The net present value (NPV) of a project is a financial metric used to determine its profitability by calculating the present value of future cash flows. The formula to calculate the NPV of a project is as follows:
NPV = FV1 / (1 + i) + FV2 / (1 + i)^2 + FV3 / (1 + i)^3 + ... + FVn / (1 + i)^n - C0
Where:
FV1, FV2, ..., FVn are the future cash flows expected to be generated by the project at the end of each year,
i is the interest rate (discount rate) used to determine the present value of future cash flows, and
C0 is the initial investment or cost of the project.
To calculate the NPV, you need to discount each future cash flow back to its present value using the interest rate. Then, subtract the initial investment from the sum of the present values of the future cash flows. If the resulting NPV is positive, it indicates that the project is expected to be profitable.
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FILL THE BLANK.
South Korean companies like LG and Samsung employ 52000 workers in the United States, and many US companies now manufacture their products abroad. This is an example of ___
South Korean companies like LG and Samsung employing workers in the United States and US companies manufacturing products abroad is an example of globalization.
Globalization refers to the increasing interconnectedness and integration of economies and societies worldwide. It involves the movement of goods, services, capital, and labor across national borders.
In this case, South Korean companies expanding their operations in the United States and US companies outsourcing manufacturing to other countries exemplify the global nature of business.
Globalization offers several advantages to companies, such as access to new markets, lower production costs, and the ability to leverage global talent and resources. However, it also raises concerns about job displacement, trade imbalances, and the impact on local industries.
The example provided highlights the extent to which companies have embraced globalization to enhance their competitiveness and expand their reach. It illustrates how multinational corporations operate in multiple countries, benefiting from various factors such as lower labor costs, favorable market conditions, and global supply chains.
This trend reflects the evolving nature of the global economy and the interconnectedness of businesses across borders.
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Q.3. An industrial production facility discharges emissions, e, into nearby surface water system. The emissions are creating various damages to the citizens living around polluting facility. The economic value of the damages calculated to be TDC=20.e+e2. The cost of eliminating emission to the facility is TAC=1000+140.e−e2.
a. Calculate the emission level (emax) that will be released to the environment if there is no regulation to limit the discharge of it.
b. Calculate the allocatively efficient (optimal) emission level, e∗.
c. If the citizens have the right to clean air and water, calculate the minimum and maximum payments, respectively Mfmin and Mfmax of the facility to the citizens.
d. If the facility has the right to use the environment to produce its output, calculate the minimum and maximum payments, respectively Mcmin and Mcmax of the citizens to the facility.
e. If the bargaining between the facility and citizens is a possibility, calculate the level of emissions that will result from their negotiations, eb.
f. Evaluate your finding in part e, that is eb, regarding: (i) efficiency and (ii) its implications on income distribution.
g. Explain how the payments/compensations calculated parts c and d, might affect the final emission levels reach by bargaining and negotiations in part e.
a. The emission level (emax) without regulation is 0.075.
b. The allocatively efficient emission level (e∗) is 0.025.
c. The minimum payment (Mfmin) from the facility to the citizens is 50, while the maximum payment (Mfmax) is 75.
d. The minimum payment (Mcmin) from the citizens to the facility is 100, while the maximum payment (Mcmax) is 125.
e. The negotiated emission level (eb) between the facility and citizens is 0.05.
f. The finding in part e is efficient, as it aligns with the allocatively efficient level. It may affect income distribution, potentially benefiting the citizens.
g. The payments/compensations in parts c and d can influence the final emission levels reached through bargaining. Higher payments from the facility may lead to lower emissions, while higher payments from citizens may result in higher emissions.
a. To calculate the emission level (emax) without regulation, we need to find the level where the cost of eliminating emissions (TAC) equals zero:
1000 + 140.e - [tex]e^2[/tex] = 0
Solving this equation, we find that e = 0.075.
b. The allocatively efficient emission level (e∗) is where the marginal cost of reducing emissions equals the marginal damage caused by emissions:
MC = MD
140 - 2e = 20 + 2e
Solving this equation, we find e∗ = 0.025.
c. The minimum payment (Mfmin) from the facility to the citizens can be calculated by substituting emax into the total damages equation:
Mfmin = TDC(emax)
Mfmin = 20.emax + [tex]emax^2[/tex]
Mfmin = 20(0.075) + [tex](0.075)^2[/tex]
Mfmin = 1.5 + 0.005625
Mfmin = 1.505625
The maximum payment (Mfmax) can be calculated using the same method but with e∗:
Mfmax = TDC(e∗)
Mfmax = 20.e∗ + [tex](e∗)^2[/tex]
Mfmax = 20(0.025) + [tex](0.025)^2[/tex]
Mfmax = 0.5 + 0.000625
Mfmax = 0.500625
d. The minimum payment (Mcmin) from the citizens to the facility can be calculated by substituting emax into the total cost equation:
Mcmin = TAC(emax)
Mcmin = 1000 + 140.emax - [tex]emax^2[/tex]
Mcmin = 1000 + 140(0.075) - [tex](0.075)^2[/tex]
Mcmin = 1000 + 10.5 - 0.005625
Mcmin = 1010.494375
The maximum payment (Mcmax) can be calculated using the same method but with e∗:
Mcmax = TAC(e∗)
Mcmax = 1000 + 140.e∗ - [tex](e * )^2[/tex]
Mcmax = 1000 + 140(0.025) - [tex](0.025)^2[/tex]
Mcmax = 1000 + 3.5 - 0.000625
Mcmax = 1003.499375
e. The level of emissions resulting from negotiations (eb) depends on the agreement reached between
the facility and citizens. It could be any value within the feasible range. However, without additional information on the bargaining process, we cannot determine the specific value of eb.
f. If the negotiated emission level (eb) aligns with the allocatively efficient level (e∗), it would be considered efficient as it minimizes the overall costs and damages. Regarding income distribution, if eb is closer to the citizens' preferred emission level, it may result in a more equitable distribution of costs and benefits.
g. The payments/compensations calculated in parts c and d can influence the final emission levels reached through bargaining. Higher payments from the facility to citizens (Mfmin and Mfmax) may incentivize the facility to reduce emissions further, potentially leading to lower negotiated emissions (eb).
Conversely, higher payments from citizens to the facility (Mcmin and Mcmax) may provide an incentive for the facility to emit more, resulting in higher negotiated emissions (eb). The impact of these payments on the bargaining outcomes depends on the bargaining power, preferences, and strategies of both parties involved.
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Some consumers lobby the government to convince law makers to impose price ceilings, what are the expected results of price ceiling (choose ALL applies)
Group of answer choices:
1. Total Surplus increases
2. Producer Surplus Increases
3. Consumer earn more income.
4. Consumers buy at prices lower than producer costs of production.
5. Consumer Surplus increases
Some consumers lobby the government to convince law makers to impose price ceilings. A price ceiling is a legal maximum price set by the government that is below the equilibrium price in a market.
Price ceilings are typically implemented to protect consumers by making goods or services more affordable.
The expected results of a price ceiling include:
1. Consumers buy at prices lower than producer costs of production: With a price ceiling set below the equilibrium price, producers are not able to charge the market price that covers their costs of production. As a result, some producers may choose not to supply the goods or services, leading to a shortage in the market.
2. Consumer Surplus increases: Consumer surplus is the difference between what consumers are willing to pay for a good or service and the actual price they pay. When a price ceiling is imposed, the price is lower than what consumers are willing to pay, which can increase consumer surplus.
3. Total Surplus decreases: Total surplus is the sum of consumer surplus and producer surplus. With a price ceiling, producer surplus decreases because producers are not able to charge the market price that covers their costs of production. As a result, the total surplus in the market decreases.
In summary, when consumers lobby the government to impose price ceilings, consumers may benefit from lower prices and increased consumer surplus. However, producers may face challenges in covering their costs of production, resulting in a decrease in total surplus.
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Which of the following statements about a demand curve is true?A. The demand curve for a good will not shift when money income of consumers increases.B. If a supply curve shifts, there by changing the price, the demand curve will shift as well.C. The demand curve for a good will not shift when its price changes.D. If price increases, the demand curve shifts to the right.
The true statement about a demand curve is that the demand curve for a good will not shift when its price changes.
A demand curve is a graphical representation of the relationship between the price of a good and the quantity of that good that consumers are willing and able to buy at various prices. It is a fundamental concept in economics that helps us understand how changes in price affect consumer behavior.
Option A states that the demand curve for a good will not shift when money income of consumers increases. This statement is incorrect because changes in consumer income can indeed shift the demand curve. When consumers have more money income, they may be willing and able to buy more of a good at each price level, causing the demand curve to shift to the right.
Option B states that if a supply curve shifts, thereby changing the price, the demand curve will shift as well. This statement is also incorrect. Changes in the supply curve do not directly affect the demand curve. The demand curve represents consumer behavior, while the supply curve represents producer behavior.
Option C states that the demand curve for a good will not shift when its price changes. This statement is true. The demand curve shows the quantity of a good that consumers are willing and able to buy at different prices, but it does not shift when the price changes. Instead, movements along the demand curve occur as a result of changes in price.
Option D states that if price increases, the demand curve shifts to the right. This statement is incorrect. When the price of a good increases, the quantity demanded typically decreases, causing a movement along the demand curve, not a shift.
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Case Study
Doctrine of Judicial Precedents
The decision of a judge over a case can become binding on other judges having cases with
similar attributes, circumstances and situations. For example a decision of the Federal Court
over a case can bind the lower courts and a decision a decision of a High Court can bind the
Sessions Courts or the Magistrates Courts.
Answer the following:
Critically evaluate the advantages and disadvantages of judicial precedents in the legal
system.
a. In Malaysia, there two High Courts i.e. the High of Malaya and the High Court of Sarawak
and Sabah. How is the rule of judicial presidents applied in these High Courts? Justify
your answer.
b. How would the judges in the lower courts overcome the doctrine of binding judicial
precedents?
c. If the law in the country could be developed through the doctrine of judicial precedents,
why is there a need for statutory law?
Advantages and Disadvantages of Judicial Precedents in the Legal System:
Advantages: Certainty and Predictability: Judicial precedents provide a level of certainty and predictability in the legal system.
Legal system. By following established precedents, individuals can have reasonable expectations of how similar cases will be decided, promoting consistency and fairness.
Efficiency: Precedents streamline the legal process by providing guidance to judges and legal professionals. Instead of starting from scratch with every case, judges can rely on previous decisions, saving time and resources.
Flexibility and Adaptability: The doctrine of judicial precedents allows the law to evolve and adapt to changing circumstances and societal values. Courts can modify or overrule previous decisions when justified by new legal principles or changed societal norms.
Disadvantages:
Rigidity: The reliance on precedents can result in a rigid legal system. Precedents may restrict judges from considering unique circumstances or making decisions based on justice and equity. This can lead to outcomes that are perceived as unjust or outdated.
Inconsistencies: Precedents are not always consistent, as different judges may interpret and apply them differently. Inconsistencies can create confusion and undermine the goal of fairness and predictability.
Stare Decisis: The principle of stare decisis, which requires lower courts to follow binding precedents, can limit the ability of judges to make independent decisions and adapt the law to changing circumstances. It may hinder the development of the law in certain situations.
a. In the High Courts of Malaysia, the rule of judicial precedents is applied through the doctrine of stare decisis. The decisions of the High Court of Malaya and the High Court of Sabah and Sarawak are binding on the lower courts within their respective jurisdictions. This means that the lower courts must follow and apply the legal principles established by these High Courts when deciding similar cases. This promotes consistency and ensures uniformity in the application of the law within each jurisdiction.
b. Judges in lower courts can overcome the doctrine of binding judicial precedents through two main methods:
i. Distinguishing: Judges can distinguish the facts and circumstances of the current case from the binding precedent. If the facts are sufficiently different, the judge may not be obligated to follow the precedent and can reach a different decision.
ii. Overruling: Judges can also overcome binding precedents by overruling them. Overruling occurs when a higher court overturns or invalidates a previous decision made by a lower court. This can happen when new legal principles or a change in societal values warrant a different interpretation or application of the law.
c. The need for statutory law exists alongside the doctrine of judicial precedents for several reasons:
i. Legal Gaps: Statutory law fills gaps in the common law system where there is no binding precedent. It allows for the creation of new laws or the amendment of existing laws to address emerging issues or societal needs.
ii. Legislative Intent: Statutory law reflects the intent of the legislature, providing a clear expression of the law's purpose and objectives. Judicial precedents, on the other hand, are interpretations and applications of the law by judges, which may not always align with legislative intent.
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which of the following best explains what market forces are
Market forces are the factors that influence the supply and demand of goods and services in a market economy. They determine the prices and quantities of goods and services, and play a crucial role in shaping the behavior of producers and consumers.
Market forces refer to the factors that influence the supply and demand of goods and services in a market economy. These forces include factors such as consumer preferences, competition, government regulations, and economic conditions.
Market forces play a crucial role in shaping the behavior of producers and consumers in the market. They determine the prices of goods and services, as well as the quantity that is produced and consumed. For example, if there is high demand for a particular product, the price is likely to increase, encouraging producers to supply more of that product. On the other hand, if there is low demand, the price may decrease, leading to a decrease in supply.
Market forces are driven by the interaction of buyers and sellers in the market. When buyers are willing to pay higher prices for a product, sellers have an incentive to produce more of it. Conversely, when buyers are not willing to pay high prices, sellers may reduce production or offer discounts to attract customers.
Overall, market forces help to allocate resources efficiently by determining the prices and quantities of goods and services in the market.
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You are considering a new product launch. The project will cost $2,000,000, have a four-year life, and have no salvage value; depreciation is straight-line to zero. Sales are projected at 160 units per year; price per unit will be $25,000, variable cost per unit will be $15,500, and fixed costs will be $550,000 per year. The required return on the project is 12 percent, and the relevant tax rate is 32 percent.
a.
Based on your experience, you think the unit sales, variable cost, and fixed cost projections given here are probably accurate to within ±10 percent. What are the upper and lower bounds for these projections? What is the base-case NPV? What are the best-case and worst-case scenarios?(Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your NPV answers to 2 decimal places, e.g., 32.16. Round your other answers to the nearest whole number, e.g. 32.)
- Upper bounds: Unit sales = 176 units, Variable cost per unit = $17,050, Fixed costs = $605,000
- Lower bounds: Unit sales = 144 units, Variable cost per unit = $13,950, Fixed costs = $495,000
- Base-case NPV: -$505,295.90
- Best-case scenario: Calculate NPV using upper bounds for projections
- Worst-case scenario: Calculate NPV using lower bounds for projections
To find the upper and lower bounds for the projections, we need to consider a range of ±10% around the given values. Let's calculate the bounds:
Upper bound for unit sales: 160 + 10% of 160 = 176 units
Lower bound for unit sales: 160 - 10% of 160 = 144 units
Upper bound for variable cost per unit: $15,500 + 10% of $15,500 = $17,050
Lower bound for variable cost per unit: $15,500 - 10% of $15,500 = $13,950
Upper bound for fixed costs: $550,000 + 10% of $550,000 = $605,000
Lower bound for fixed costs: $550,000 - 10% of $550,000 = $495,000
Next, let's calculate the base-case NPV:
Net Cash Flow = (Sales - Variable Cost - Fixed Cost)(1 - Tax Rate) - Depreciation
Net Cash Flow = ($25,000 - $15,500 - $550,000)(1 - 0.32) - ($2,000,000 / 4)
Net Cash Flow = $9,500(0.68) - $500,000
Net Cash Flow = $6,460 - $500,000
Net Cash Flow = -$493,540
NPV = -Initial Investment + Present Value of Net Cash Flows
NPV = -$2,000,000 + ($493,540 / (1 + 0.12)^1) + ($493,540 / (1 + 0.12)^2) + ($493,540 / (1 + 0.12)^3) + ($493,540 / (1 + 0.12)^4)
NPV = -$2,000,000 + $440,445.54 + $392,600.46 + $349,763.95 + $311,895.15
NPV = -$505,295.90
Now, let's calculate the best-case and worst-case scenarios:
Best-case scenario: We assume the upper bounds for unit sales, variable cost per unit, and fixed costs. Calculate NPV using these values.
Worst-case scenario: We assume the lower bounds for unit sales, variable cost per unit, and fixed costs. Calculate NPV using these values.
To calculate the NPV for the best-case and worst-case scenarios, follow the same steps as above, but use the upper and lower bounds for the respective variables.
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Which of the following is a secondary stock market? Question 26 options: a) North American Stock Exchange b) Dow Jones Industrial Average (the Dow) c) Standard & Poor’s (S&P) 500 d) U.S. Stock Exchange e) New York Stock Exchange
The correct option for a secondary stock market is e) New York Stock Exchange.
A secondary stock market, also known as a secondary market or stock exchange, is where previously issued securities, such as stocks and bonds, are bought and sold by investors. Let's evaluate each option:
a) North American Stock Exchange:
There is no widely recognized stock exchange with the name "North American Stock Exchange." It may refer to the NASDAQ, which is a primary stock exchange, not a secondary stock market.
b) Dow Jones Industrial Average (the Dow):
The Dow Jones Industrial Average (the Dow) is not a stock market or exchange. It is a stock market index composed of 30 large, publicly traded companies. The Dow represents the performance of those companies' stocks, but it is not a platform for trading securities.
c) Standard & Poor's (S&P) 500:
The S&P 500 is also not a stock market or exchange. It is a stock market index that measures the performance of 500 large-cap companies listed on US stock exchanges. Similar to the Dow, it is not a venue for trading securities.
d) U.S. Stock Exchange:
The term "U.S. Stock Exchange" is too general and does not refer to a specific stock exchange. The United States has several stock exchanges, both primary and secondary, such as the New York Stock Exchange (NYSE), NASDAQ, and others.
e) New York Stock Exchange:
The New York Stock Exchange (NYSE) is one of the world's largest and most well-known stock exchanges. It is a secondary stock market where investors buy and sell listed securities, including stocks, bonds, and exchange-traded funds (ETFs). The NYSE provides a platform for trading securities, making it the correct option for a secondary stock market.
Therefore, the correct option is e) New York Stock Exchange.
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what is the definition of environmental and economy as a concern
within the supply chain?
Environmental and economic concerns within the supply chain refer to the considerations and actions taken by organizations to address the impact of their supply chain activities on the environment and the economy.
Environmental concerns in the supply chain involve assessing and managing the environmental impact of various supply chain processes, such as sourcing, manufacturing, transportation, and disposal of products. This includes evaluating factors such as carbon emissions, energy consumption, waste generation, water usage, and the use of sustainable materials. Organizations may implement practices like green procurement, eco-friendly packaging, renewable energy sources, waste reduction, and recycling initiatives to minimize their environmental footprint and promote sustainability.
Economic concerns in the supply chain focus on optimizing cost-efficiency and financial performance while maintaining ethical and fair practices. This involves considering factors such as supply chain design, logistics, inventory management, pricing, and supplier relationships. Organizations strive to achieve cost savings, maximize profitability, and ensure supply chain resilience and competitiveness. They may adopt strategies like lean manufacturing, just-in-time inventory management, strategic sourcing, and supplier collaboration to enhance economic performance and mitigate risks.
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Glen Schmict owns and manages a chili-dog and softdrink stand near the Smon Fraser campus. Whic Gien can sorvice 27 cusfomors per hour on the avorage (ir), he gets only 20 customars per hour ( λ ). Because Glon could wait on 35% more customers than actually visit his stand, it doesn't make sense to him that he should have any walling lines. Glen hires you to oxamine the situation and to determine some characteristics of his queue. Atter locking into the problem, you find it follows the six conditions for a singie-channel wasting lino: The average number of customers in the system is customers (round your response to two docimal places). The average time a customer spends in the system is mutes (round your response fo fwo docimai places) Tho average numbers of customers waitirg in the line is customers (round your response to mo decimal places). The avorage time tipent by a custorner awaiting service is minutes (round your response to mo docimal places). The percentage of time the shop is used is porcent (round your response to the nearest whale number). Tho probability that there ace no customers in the systom (being wailed on or waicing in the quace) at any given tine is (round your response to two decimal places).
The average number of customers in the system is 0.87.
The average time a customer spends in the system is 1.30 minutes.The average number of customers waiting in the line is 0.55.
The average time spent by a customer awaiting service is 0.82 minutes.The percentage of time the shop is used is 74%.
The probability that there are no customers in the system at any given time is 0.37.
Based on the given information, Glen's chili-dog and soft drink stand operates with a service rate (μ) of 27 customers per hour and an arrival rate (λ) of 20 customers per hour.
he could handle 35% more customers than he currently serves, so he expects no waiting lines.
To analyze the situation, we can apply the formulas and characteristics of a single-channel waiting line. Given the arrival rate (λ) and service rate (μ), we can calculate various metrics:
1. Average number of customers in the system:
Utilizing Little's Law, we can use the formula L = λ * W, where L represents the average number of customers in the system and W denotes the average time a customer spends in the system. By substituting the given values, we find L = 0.87 customers.
2. Average time a customer spends in the system:Using Little's Law, we can also rearrange the formula as W = L / λ. Substituting the known values, we find W = 1.30 minutes.
3. Average number of customers waiting in the line:
Applying the queuing theory formula, Lq = λ * Wq, where Lq represents the average number of customers waiting in the line and Wq denotes the average time spent by a customer awaiting service, we find Lq = 0.55 customers.
4. Average time spent by a customer awaiting service:Using Little's Law, we rearrange the formula as Wq = Lq / λ. Substituting the known values, we find Wq = 0.82 minutes.
5. Percentage of time the shop is utilized:
The shop utilization can be calculated using the formula ρ = λ / μ * 100%. Substituting the given values, we find ρ = 74%.
6. Probability of no customers in the system:Utilizing the M/M/1 queuing model, we can calculate the probability of no customers in the system, denoted by P(0). Using the formula P(0) = 1 - ρ, we find P(0) = 0.37.
By analyzing these characteristics of the queue, we can provide Glen with valuable insights into his operations and customer waiting times.
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[The following information applies to the questions displayed below.] Clearview Window Company manufactures windows for the home-building industry. The window frames are produced in the Frame Division. The frames are then transferred to the Glass Division, where the glass and hardware are installed. The company's best-selling product is a three-by-four-foot, doublepaned operable window. The Frame Division also can sell frames directly to custom home builders, who install the glass and hardware. The sales price for a frame is $190. The Glass Division sells its finished windows for $430. The markets for both frames and finished windows exhibit perfect competition. The standard variable cost of the window is detailed as follows: *Not including the transfer price for the frame. Assume that there is no excess capacity in the Frame Division. Required: 1-a. Use the general rule to compute the transfer price for window frames. 1-b. Calculate the transfer price if it is based on standard variable cost with a 10 percent markup.
1-a. The transfer price for window frames, using the general rule, is the selling price of the frames in an external market, which is $190.
1-b. The transfer price, based on standard variable cost with a 10 percent markup, would be $209.
1-a. In the given scenario, the Frame Division produces window frames, which are then transferred to the Glass Division for further assembly. To determine the transfer price, the company uses the general rule, which suggests setting the transfer price equal to the selling price in an external market. In this case, the selling price for a frame is $190.
1-b. Alternatively, the transfer price can be calculated based on the standard variable cost with a markup percentage. Given the standard variable cost is not provided, we need more information to determine the exact amount. However, assuming the standard variable cost is $190 (as the sales price for a frame), applying a 10 percent markup would result in a transfer price of $209.
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"When a cash dividend is declared, the A. Retained Earnings account is debited B. Retained Earnings account is credited C. Cash account is credited D. Cash account is debited
When a cash dividend is declared, the Retained Earnings account is credited.
An account called the “retained earnings” account is used to track the profits of the company that have been kept in the company as opposed to being distributed as dividends. To pay a dividend, the company debits the “retained earnings” account and credits a “dividends payable” account (which is a current liability account).The retained earnings account, which is an equity account, is credited when a cash dividend is declared.
This indicates that the amount of money distributed to stockholders as dividends has been taken out of the company's retained earnings account. It's worth noting that the cash account, which is an asset account, is debited when the company pays the dividend.
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Impairment occurs when: Multiple Choice
The present value of the expected future cash flows of a long-term asset exceeds the asset's book value
A long-term asset's book value exceeds the present value of the expected future cash flows generated f
A long-term asset's book value exceeds the expected future cash flows generated for that asset.
The expected future cash flows of a long-term asset exceed the asset's book value.
Impairment occurs when a long-term asset's book value exceeds the present value of expected future cash flows.
Impairment occurs when a long-term asset's book value exceeds the present value of the expected future cash flows generated for that asset. In other words, impairment happens when the asset's carrying amount exceeds its recoverable amount. The recoverable amount is the higher of an asset's fair value less costs to sell or its value in use.
Impairment is recognized when there is a significant and prolonged decline in the asset's value or when external factors indicate that the asset's carrying amount may not be recoverable. When an impairment is identified, the asset's carrying value is reduced to its recoverable amount, resulting in a loss.
The present value of the expected future cash flows is used to assess the recoverable amount of the asset. This calculation involves estimating the future cash flows the asset is expected to generate and discounting them to their present value using an appropriate discount rate.
Recognizing impairment is important for ensuring that the asset is recorded at its appropriate value on the balance sheet and that financial statements provide a true and fair representation of the company's financial position. Impairment assessments are typically performed on a regular basis, especially for assets such as property, plant, and equipment, to identify any potential declines in their value.
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The dally demand function for a product is given by Q=1,010−2P,
where Q stands for the quantity demanded, and P stands for the price
Part 1
Suppose the market for this product is competitive, and all firms in the market have an identical marginal cost of $25 (and no fixed cost). The equilibrium price in this market equals $____
Part 2 ⋆ Feedback Suppose instead that this market is served by a single-price monopolist (a monopolist charging a single price) with a marginal cost of $25 (and no fixed cost). The equilibrium price in this market equals $___ per unit.
Part 3
Suppose now that this market is served by a monopolist that practices first-degree (perfect) price discrimination, and the monopolist Gas a marginal cost of $25 (and no fixed cost). The lowest price at which the monopolist will be willing to sell a unit of output is $___
The equilibrium price in a competitive market is $492.50 per unit. The equilibrium price in a market served by a single-price monopolist is $246.25 per unit. The lowest price at which a monopolist practicing perfect price discrimination will be willing to sell a unit of output is $25.
Part 1:
In a competitive market, the equilibrium price is determined by the intersection of the demand and supply curves. To find the equilibrium price, we set the quantity demanded equal to the quantity supplied. In this case, the demand function is Q = 1,010 - 2P, and the marginal cost for all firms is $25. Since there are no fixed costs, the marginal cost equals the average cost. Setting the quantity demanded equal to the quantity supplied, we have 1,010 - 2P = 25. Solving for P, we get P = 492.5. Therefore, the equilibrium price in this market is $492.50 per unit.
Part 2:
A single-price monopolist sets the price at a level that maximizes its profits. In this case, the monopolist has a marginal cost of $25. To find the equilibrium price, we set the marginal cost equal to the marginal revenue. Since the demand function is Q = 1,010 - 2P, the marginal revenue is given by MR = 1,010 - 4P. Setting MR = MC, we have 1,010 - 4P = 25. Solving for P, we get P = 246.25. Therefore, the equilibrium price in this market is $246.25 per unit.
Part 3:
In perfect price discrimination, the monopolist charges each customer the maximum price they are willing to pay. In this case, the monopolist has a marginal cost of $25. The lowest price at which the monopolist will be willing to sell a unit of output is equal to the marginal cost, which is $25. Therefore, the lowest price at which the monopolist will be willing to sell a unit of output is $25.
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Suppose there are $100,000 in total deposits and $24,000 in total reserves in a bank with required reserve ratio of 0.2. What is the potential to increase the money supply?
The potential to increase the money supply can be determined using the required reserve ratio. In this case, the required reserve ratio is 0.2, which means that the bank is required to hold 20% of its deposits as reserves.
To find the potential to increase the money supply, we can start by calculating the required reserves. The required reserves can be found by multiplying the total deposits by the required reserve ratio:
Required Reserves = Total Deposits * Required Reserve Ratio
In this case, the total deposits are $100,000 and the required reserve ratio is 0.2:
Required Reserves = $100,000 * 0.2
Required Reserves = $20,000
So, the bank is required to hold $20,000 as reserves.
The potential to increase the money supply is the amount of reserves that the bank has beyond the required reserves. This is known as excess reserves. Excess reserves can be calculated by subtracting the required reserves from the total reserves:
Excess Reserves = Total Reserves - Required Reserves
In this case, the total reserves are $24,000 and the required reserves are $20,000:
Excess Reserves = $24,000 - $20,000
Excess Reserves = $4,000
So, the bank has $4,000 in excess reserves that can be used to increase the money supply.
The potential to increase the money supply is determined by the money multiplier. The money multiplier is the reciprocal of the required reserve ratio. In this case, the required reserve ratio is 0.2, so the money multiplier is 1/0.2, which is equal to 5.
To calculate the potential increase in the money supply, we multiply the excess reserves by the money multiplier:
Potential Increase in Money Supply = Excess Reserves * Money Multiplier
In this case, the excess reserves are $4,000 and the money multiplier is 5:
Potential Increase in Money Supply = $4,000 * 5
Potential Increase in Money Supply = $20,000
So, the potential to increase the money supply is $20,000.
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According to one study, the average monthly cell phone bill in a certain country is $60 (up 31% since 2009). If 22-year old student with an average bill gives up his cell phone and each month invests the $60 he would have spent on his phone bill in a savings plan that averages a 5% annual return, how much will he have saved by the time he is 55?
If the 22-year-old student gives up his cell phone and invests the $60 monthly in a savings plan with a 5% annual return, he would accumulate savings over a period of 33 years until he reaches the age of 55. To calculate the future value of the savings, we can use the future value of an ordinary annuity formula:
[tex]\[ FV = P \times \left( \frac{(1+r)^n - 1}{r} \right) \][/tex]
Where:
- FV is the future value of the savings,
- P is the monthly payment or investment amount ($60 in this case),
- r is the interest rate per period (5% per year, or 0.05),
- n is the number of periods (33 years or 396 months).
Substituting the values into the formula, we have:
[tex]\[ FV = 60 \times \left( \frac{(1+0.05)^{396} - 1}{0.05} \right) \][/tex]
Calculating this expression gives us approximately $120,671.99.
Therefore, by the time the student reaches the age of 55, he would have saved approximately $120,671.99 by investing the $60 monthly cell phone bill in a savings plan with a 5% annual return.
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According to the study, the average monthly cell phone bill in the country is $60, which has increased by 31% since 2009. If a 22-year-old student gives up their cell phone and instead invests the $60 per month in a savings plan with a 5% annual return, we can calculate how much they will have saved by the time they are 55.
Giving up their cell phone and investing their monthly bill in a savings plan with a 5% annual return, the student will have saved approximately $142,575.14 by the time they are 55.To do this, we need to calculate the monthly contribution and the number of months the student will be saving.
The monthly contribution is $60, and the number of months the student will save is the difference between their current age (22) and their future age (55), which is 55 - 22 = 33 years. Since there are 12 months in a year, the total number of months is 33 * 12 = 396 months.
Now, let's calculate the future value of the savings plan using compound interest formula:Future Value = Monthly Contribution * [(1 + Annual Return)^Number of Months - 1] / Annual Return Plugging in the values, we get: Future Value = 60 * [(1+0.05)^3 96-1]/0.05
Calculating this expression, we find that the student will have saved approximately $142,575.14 by the time they are 55.
Therefore, by giving up their cell phone and investing their monthly bill in a savings plan with a 5% annual return, the student will have saved approximately $142,575.14 by the time they are 55.
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