A downward sloping demand curve can be explained by i. diminishing marginal utility. ii. diminishing marginal returns. iii. the substitution effect. iv. the income effect.
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A downward sloping demand curve can be explained by i. diminishing marginal utility, iii. the substitution effect, and iv. the income effect.
A downward sloping demand curve can be explained by i. diminishing marginal utility, iii. the substitution effect, and iv. the income effect.
1. Diminishing marginal utility: This refers to the idea that as a consumer consumes more of a good, the additional satisfaction (or utility) they gain from each additional unit decreases. This causes the demand curve to slope downward because consumers are less willing to pay a high price for additional units of the good.
2. Substitution effect: As the price of a good increases, consumers may choose to substitute it with other similar goods that are relatively less expensive. This causes the demand curve to slope downward because an increase in price results in a decrease in the quantity demanded as consumers switch to alternative products.
3. Income effect: When the price of a good decreases, consumers' real income effectively increases (since they can now purchase more of the good with the same amount of money). As a result, consumers may choose to buy more of the good, causing the demand curve to slope downward as lower prices lead to an increase in the quantity demanded.
Note that option ii. diminishing marginal returns is not relevant to the demand curve, as it refers to the production side of the economy (i.e., how output changes as additional units of input are used in production).
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Related Questions
who benefits form medicare taxes?
Answers
Answer: The Medicare tax rate is 1.45% of an employee's gross income. The Medicare tax, which is a charge on both employers and employees, is paid by both.
using the concept of complementarity, explain why companies in different countries trade with each other
Answers
Companies in different countries trade with each other because they have different resources and capabilities.
Complementarity theory suggests that countries with different endowments of resources should specialize in producing goods and services that are best suited to their resources and trade with other countries to acquire goods and services that are better produced by others. In this way, each country can maximize its production and consumption possibilities.
For example, a country that has an abundance of natural resources but a shortage of skilled labor may specialize in producing raw materials and trade them with a country that has an abundance of skilled labor but a shortage of natural resources. This way, both countries can benefit from the trade by obtaining goods and services that they would not have been able to produce on their own.
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Elasticity measures the responsiveness of Multiple choice question. one variable to changes in another. one variable to changes in many other variables. many variables to changes in many variables. many variables to changes in one variable
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Elasticity measures the responsiveness of one variable to changes in another. The correct option is A.
What are the measures of elasticity?The price of the commodity, the price of related goods, and consumer income are the three quantifiable factors that determine demand and are used to calculate its elasticity. Price, cross, and income elasticities of demand are the three types of elasticities of demand.
The degree to which the quantity of a good is demanded in response to a change in its price is known as its elasticity of demand. The formula for calculating it involves dividing the proportionate change in quantity demanded by the proportionate change in the price level.
Elasticity is a measure of a variable's receptivity to changes in another variable. Elasticities are unitless, so you can measure the underlying variables in any way you like and they won't affect the elasticity. Elasticity and slope are not the same.
Thus, the ideal selection is option A.
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What includes the increasingly complex management of processes, information, and communication to take a product from cradle to grave
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The increasingly complex management of processes, information, and communication to take a product from cradle to grave refers to Logistics.
What is Logistics?
Logistics can be described in the most simple of ways, as the planning and management of a series of factors in order to achieve the end goal of a product. Logistics involves a series of complex processes required to oversee the proper flow of a product from its origin to its consumption by the public.This is important in order to ensure adherence to norms and regulations and allow for an efficient and detailed process of production.Therefore, we can confirm that when stating the increasingly complex management of processes, information, and communication to take a product from cradle to grave, we are referring to Logistics.
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a person who owns all ownership interests in real property is said to own
Answers
The person who owns all ownership interests in real property is said to own the property outright.
This means that they have complete control and ownership over the property and can make decisions about it without needing to consult with anyone else.
It's important to note that owning property outright also means that the owner is solely responsible for any liabilities or debts associated with the property.
Due to the fact that the buyer now owns the vehicle, the buyer stands to gain from its wise management, such as obtaining a higher resale price than the market value by providing the vehicle with the necessary care, maintenance, and management during its lifespan.
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running dog shoes inc has been making running shoes for over two decades. match the elements of its financial statements
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suppose a tax is imposed on each new hearing aid that is sold. the supply curve is a typical upward-sloping straight line, and the demand curve is a typical downward-sloping straight line. as a result of the tax, the equilibrium quantity of hearing aids decreases from 10,000 to 9,000, and the deadweight loss of the tax is $60,000. we can conclude that the tax on each hearing aid is group of answer choices $60. $120. $160. $200.
Answers
Option (b), We can conclude that each hearing aid is subject to a $120 tax.
What does it mean to lose economic deadweight?A deadweight loss is the price of market inefficiency, which occurs when supply and demand are out of balance. Any shortfall brought on by an inefficient resource allocation is referred to as "deadweight loss," a phrase mostly used in economics.
The term "deadweight loss of taxes" refers to the measuring of loss caused by the implementation of a new tax. This is the result of a new tax that is more expensive than what is generally paid to the government entity in charge of collecting taxes.
The demand curve for hearing aids is represented by a typical downward-sloping straight line, and the supply curve is typically upward-sloping.
The sale of each hearing aid is subject to tax.
The tax reduces the number of hearing aids from 10,000 to 9,000, which is the equilibrium number.
The tax's deadweight loss is $60,000.
Deadweight loss= \(\frac{1}{2}\) \((Q_{1} - Q_{2} )\) X Tax
60,000= \(\frac{1}{2}\) (10,000 - 9,000) X Tax
60,000= \(\frac{1}{2}\) X 1,000 X Tax
60,000= 500 X Tax
Tax= \(\frac{60,000}{500}\)
Tax= $120
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COSO stands for Committee of Sponsoring Organizations. It composes of five organizations: ____, ____, ____, IMA, and AICPA.
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COSO stands for Committee of Sponsoring Organizations. It composes of five organizations: American Accounting Association (AAA), the Financial Executives International (FEI), the Institute of Internal Auditors (IIA), IMA, and AICPA.
The Committee of Sponsoring Organizations of the Treadway Commission (COSO) is a joint initiative of five professional associations. These organizations include the American Accounting Association (AAA), the American Institute of Certified Public Accountants (AICPA), the Financial Executives International (FEI), the Institute of Internal Auditors (IIA), and the National Association of Accountants (now known as the Institute of Management Accountants or IMA). COSO was created to provide a framework for internal control that can be used by organizations to manage their risks effectively.
The framework has been widely adopted by companies around the world as a tool for assessing and improving the effectiveness of their internal control systems. The COSO framework includes five interrelated components: control environment, risk assessment, control activities, information and communication, and monitoring. The control environment refers to the tone set by management, including the organization's culture, values, and ethics. Risk assessment involves identifying and analyzing potential risks to the organization, while control activities involve establishing policies and procedures to mitigate those risks.
Information and communication refer to the process of sharing relevant information with key stakeholders, both internal and external. Finally, monitoring involves ongoing evaluation and improvement of the organization's internal control system.
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Rashad doesn't want to spend time organizing his personal financial records. His spouse, Minos, thinks it is worth spending the time to get organized. What should Minos tell Rashad to convince him that organizing personal financial records is beneficial? OA It will be easier to manage daily business activities such as paying bills. OB. People who organize their personal financial records generally do not have to file taxes. OC They cannot lose money on investments as long as they keep good records. OD. Most banks offer a yearly cash bonus if clients have organized financial records.
Answers
What Minos should tell Rashad to convince him that organizing personal financial records is beneficial is: A It will be easier to manage daily business activities such as paying bills.
To convince her spouse of the importance of organizing personal financial records, Minos should tell Rashad that organization will help him to coordinate his daily business activities better.
He will not be at a loss of the whereabouts of his financial data.
Therefore, option A is right.
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A pollution charge gives the trucking industry an incentive to reduce its emissions, as long as the ___ of reducing the emissions is ___ .
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A pollution charge gives the trucking industry an incentive to reduce its emissions, as long as the marginal cost of reducing the emissions is less than the tax.
What is a negative externality?
Pollution consistutes a negative externality. This is because the cost of pollution is greater than its benefits to third parties not involved in the activity that generates the population. A way to reduce pollution is to enact a pollution charge.
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bath boutique is a small company that sells specialty bath products at a premium price. they do not have much competition and are able to serve their small group of customers very well by providing excellent service. bath boutique uses which kind of targeting strategy?
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Bath Boutique is probably employing a segmented or specialty targeting strategy. This kind of approach entails concentrating on a condensed, specific market sector.
Bath Boutique targets a specific specialised market. This indicates that they have isolated a small, specialised set of clients who have certain requirements and preferences, and they respond to those requirements by providing high-end bath items. They concentrate their targeting strategy on this specific market group and set themselves apart by offering outstanding service and individualised attention. Bath Boutique is able to stand out from rivals, grow their market share, and cultivate a following of devoted customers by focusing on a certain niche market. Bath Boutique distinguishes themselves from other bath product merchants by concentrating on their expertise and being able to specialise and provide a special value proposition that appeals to a certain group of clients.
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It is no longer enough to provide customers with high-quality products. They also expect outstanding customer___
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It is no longer enough to provide customers with high-quality products; they also expect outstanding customer service. To meet these expectations, businesses should take the following steps:
1. Develop a customer-centric culture: Make customer satisfaction a priority and ensure that all employees understand the importance of providing excellent service.
2. Train employees: Provide comprehensive training on customer service skills, including communication, problem-solving, and empathy.
3. Implement efficient processes: Streamline processes to make it easy for customers to access information, make purchases, and receive support.
4. Use technology: Utilize technology to enhance the customer experience, such as through personalized marketing, efficient customer support systems, and online self-service options.
5. Listen and respond to feedback: Regularly collect customer feedback and act on it to improve your products, services, and overall customer experience.
6. Go the extra mile: Delight customers by exceeding their expectations and providing personalized service.
By focusing on outstanding customer service in addition to high-quality products, businesses can build strong customer relationships, improve customer retention, and increase their competitive advantage.
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Economics (FoolProof)
I should do my best to get a credit card from a company that will tell me both my interest rate and my credit limit before I commit to taking the card.
True or False
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Answer:True
Explanation:
the has the authority to enforce the rules found in section 114 of the fair and accurate credit transactions act that require certain businesses and organizations to develop, implement, and administer identity theft prevention programs.
Answers
The Consumer Financial Protection Bureau (CFPB) has the authority to enforce the rules found in Section 114 of the Fair and Accurate Credit Transactions Act (FACTA) that pertain to identity theft prevention programs. These rules require certain businesses and organizations to develop, implement, and administer such programs.
Here is how the CFPB enforces these rules:
1. The CFPB sets guidelines and regulations regarding identity theft prevention programs under Section 114 of FACTA.
2. It conducts investigations and audits to ensure businesses and organizations comply with these regulations.
3. If the CFPB finds a violation, it can take enforcement actions against the non-compliant entities.
4. These enforcement actions can include issuing fines, penalties, or injunctions to bring the violators into compliance.
5. The CFPB may also require the entities to develop and implement corrective actions to prevent future violations.
6. The CFPB's enforcement activities aim to protect consumers' personal information and prevent identity theft.
Overall, the CFPB plays a crucial role in overseeing and enforcing the rules outlined in Section 114 of FACTA to ensure businesses and organizations prioritize the security of individuals' personal information. This helps combat identity theft and promotes consumer protection.
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The Federal Trade Commission (FTC) has the authority to enforce the rules found in section 114 of the Fair and Accurate Credit Transactions Act (FACTA). These rules require certain businesses and organizations to develop, implement, and administer identity theft prevention programs.
Explanation stepwise:
1. The Fair and Accurate Credit Transactions Act (FACTA) is a federal law that aims to protect consumers from identity theft and credit fraud.
2. Section 114 of FACTA specifically addresses the requirement for certain businesses and organizations to have identity theft prevention programs in place.
3. The Federal Trade Commission (FTC) is the government agency responsible for enforcing these rules.
4. The FTC has the authority to ensure that businesses and organizations comply with the requirements outlined in section 114.
5. The rules in section 114 require businesses and organizations to develop, implement, and administer programs that help prevent identity theft.
6. These programs typically involve measures such as employee training, risk assessments, and the implementation of safeguards to protect personal information.
In conclusion, the Federal Trade Commission (FTC) has the authority to enforce the rules outlined in section 114 of the Fair and Accurate Credit Transactions Act (FACTA). These rules require certain businesses and organizations to develop and implement identity theft prevention programs. The FTC ensures compliance with these regulations to protect consumers from the risks of identity theft.
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How often are financial statements
released?
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Answer:
Once per year
Explanation:
The law requires businesses to prepare their financial statements and reports every year or twelve months. A business's financial period should not exceed 12 months. All firms must prepare their financial reports to the relevant stakeholders at the end of every financial period.
Shareholders, investors, business partners, and the government are some of the users of the company's financial reports. The law expects the business to present their financial statements at the end of every period. However, companies may prepare reports in between the financial period for their internal use.
What personnel records would you suggest for a small retailer with three employees?
Answers
Explanation:
For a small retailer with three employees, the ideal would be to keep personnel records well organized, because regardless of the size of the company, the records function as a perspective of the human resources department and a protection for the company, therefore it is essential that the company have registration forms, selection data, evaluation reports, disciplinary forms, job description, social security number, etc.
To see all the constraints in a sketch, * Highlight all the sketch pieces you would like to see constraints for O Click the show constraints box in the sketch dialogue box O Hoover over the sketch geometry you would like to look at Other White constraint icons indicate * Goose
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Answer:
Explanation:
now where the to truck top shot dont f around i walk in the building with every chain on jaydayoungan every chain on gleeeeeeeeeee
4. In your progress report, you want the Work Completed section to follow your
Summary of Costs. To date, the company has rewritten the home page content,
created a new logo, and updated the overall structure of the site. Currently, an idea
for site navigation has been proposed but not yet confirmed. You want to include a
visual of the navigation option in the progress report.
a. The navigation option includes these links from the Home Page: About, Services,
Customer Reviews, and Contact. The About section would include links to History
and Our Mission; the Services section would also include links to Pricing, Scope, and
Timeline. Show an example of a simple, custom graphic to display the navigation. (3
points)
Answers
Links to About, Services, Customer Reviews, and Contact are included in the suggested navigation option, along with dropdown menus for About (History and Our Purpose) and Services (Pricing, Scope, and Timeline).
What type of bar chart is most popular?When showing a sequence of statistics over time, it is highly helpful. If long labels are needed, vertical bar graphs have the drawback of not leaving much room at the bottom of the chart.
Which bar charts are frequently employed to display time series data?Using a sequence of bars, time series bar charts can display changes in a metric over time. This allows you to plot several series, display the breakdown of a metric across dimensions, and display the evolution of the values over time.
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3.- In your role as project leader for the organization's involvement in the annual United Way campaign, you have planned a party to mark the end of the fundraising initiative. Thinking about the importance of developing and executing plans.After planning the party, which must you do to help it be a success?a.- Anticipate low attendance among third-shift employees.b.- Allocate the necessary time for employees who will help set up the party.c.- Notify your supervisor that some of the funds for the United Way initiative will be used on a party.d.- Thank people for attending the party for the United Way initiative.
Answers
The completion of any project or event depends on careful planning and execution, and setting up a party is a crucial step that needs enough time and money.
What exactly do projects in business mean?A project that is intended to accomplish a particular business objective or goal is referred to as a business project. The business's overall strategy is in line with these goals or objectives.
What exactly is a project?A project is simply a set of tasks that must be finished in order to achieve a particular goal. A project could also be described as a collection of inputs and results necessary to accomplish a specific objective. Projects can be controlled by one human or one hundred, and they can be simple or complex.
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On December 31, 2021, a company had assets of $16 bilion and stockholder's equity of $11 billion. That same compary had assets of $200 bilian and stockholders' equity of $12 billion as of December 31, 2022. During 2022, the company reported total sales revenue of $24 bilian and total expenses of $22 billion. What is the company's debt-to-assets ratio on December 31,2022 ? Muitiple Choice 0.30 0.06 0.40 0.03
Answers
The company's debt-to-assets ratio on December 31, 2022, is 0.06. During 2022, the company reported total sales revenue of $24 billion and total expenses of $22 billion. Option B is correct answer.
The debt-to-assets ratio is calculated by dividing the total debt of a company by its total assets. In this case, we need to find the ratio on December 31, 2022.
The company's total assets on December 31, 2022, were $200 billion, as mentioned in the question. However, the question does not provide information about the total debt of the company.
To calculate the debt-to-assets ratio, we need the total debt. Without this information, we can accounting equation determine the exact ratio.
Given the options provided (A. 0.30, B. 0.06, C. 0.40, D. 0.03), option B (0.06) is the closest to a reasonable debt-to-assets ratio. However, it is important to note that this is an estimation based on the given information, and the actual ratio may vary depending on the company's specific financial situation.
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The Complete question is
On December 31, 2021, a company had assets of $16 bilion and stockholder's equity of $11 billion. That same compary had assets of $200 bilian and stockholders' equity of $12 billion as of December 31, 2022. During 2022, the company reported total sales revenue of $24 bilian and total expenses of $22 billion. What is the company's debt-to-assets ratio on December 31,2022 ? Muitiple Choice
A. 0.30
B. 0.06
C. 0.40
D. 0.03
Critically discuss the effects of ""Counterproductive work behaviour"" in organisations
Answers
Counterproductive work behavior refers to actions or behaviors that hinder organization goal & productivity. It can lead to reduced morale, decreased productivity, increased turnover, damage to organizational reputation and culture.
Counterproductive refers to actions or behaviors that have the opposite effect or result from what is desired or intended. It is important to recognize and address counterproductive elements within organizations or individuals because they can hinder progress, efficiency, and overall success. Counterproductive behaviors may include procrastination, resistance to change, excessive bureaucracy, poor communication, and ineffective teamwork. By identifying and addressing counterproductive behaviors, organizations can enhance productivity, improve work culture, foster innovation, and achieve desired outcomes. This may involve implementing new processes, providing training and development, promoting open communication, and cultivating a positive work environment.
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E5-4 and E5-5 [LO 5-1, 5-5] [The following information applies to the questions disployed below] Morning Dove Company manufactures one model of birdbath, which is very popular. Morning Dove sells all
Answers
E5-4 Computation of Net Income using Absorption Costing Method The computation of net income using absorption costing method for Morning Dove Company is as follows:
ParticularsAmountSales revenue ($50 × 4,000 units)$200,000
Less: Cost of goods sold:Beginning inventory$0
Add: Cost of goods manufactured ($38 × 4,000 units)$152,000
Goods available for sale$152,000
Less: Ending inventory ($48 × 2,000 units)$96,000
Cost of goods sold$56,000Gross profit$144,000
Less: Selling and administrative expenses$48,000
Net income$96,000 E5-5 Computation of Net Income using Variable Costing Method The computation of net income using variable costing method for Morning Dove Company is as follows:
ParticularsAmountSales revenue ($50 × 4,000 units)$200,000
Less: Variable expenses:Variable cost of goods sold ($38 × 4,000 units)$152,000
Variable selling and administrative expenses ($2 × 4,000 units)$8,000
Total variable expenses$160,000Contribution margin$40,000
Less: Fixed expenses:Fixed manufacturing overhead$32,000
Fixed selling and administrative expenses$16,000
Total fixed expenses$48,000Net income$(-$8,000)
The main difference between absorption costing and variable costing method is the treatment of fixed manufacturing overhead cost. Under the absorption costing method, all the manufacturing overhead cost, whether fixed or variable, are included in the product cost. The product cost, thus, comprises of direct material cost, direct labor cost, variable manufacturing overhead cost, and fixed manufacturing overhead cost. This product cost is then used to compute the gross profit margin of the company. The gross profit margin, in turn, is used to calculate the net income of the company.
On the other hand, under the variable costing method, only the variable manufacturing overhead cost is included in the product cost. The fixed manufacturing overhead cost is treated as a period cost and, hence, is directly charged to the income statement. The contribution margin of the company is computed by subtracting the variable expenses from the sales revenue. The contribution margin, in turn, is used to calculate the net income of the company.
Both the absorption costing and variable costing methods have their advantages and disadvantages. The choice of the method depends on the objective of the company. If the objective of the company is to report the net income in a way that reflects the full cost of production, the absorption costing method is used. However, if the objective is to understand the impact of the sales volume on the net income, the variable costing method is used.
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rocky mountain bottling company produces a soft drink that is sold for a dollar. at production and sales of 1,000,000 units, the company pays $700,000 in production costs, half of which are fixed costs. at that volume, general, selling, and administrative costs amount to $300,000, of which $50,000 are fixed costs. what is the amount of contribution margin per unit?
Answers
The difference between the selling price per unit and the variable cost per unit is the contribution margin per unit. In the breakeven analysis, which is also known as the cost-volume-profit analysis.
This is used to calculate the breakeven point.
How is commitment edge determined?
Commitment edge is determined as Income - Variable Expenses. The commitment edge proportion is determined as (Income - Variable Expenses)/Income
What is commitment edge versus gross edge?
Commitment edge considers just the variable expenses of making an item or administration, while gross edge thinks about all immediate expenses of creation.
First, figure out all of the variable costs.
($800,000 x 0.50) plus (250,000 - 70,000) equals $580,000 in variable costs.
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The law called "Check 21" gives banks the option
Answers
Answer: EIther B or D if i remember correctly, its B
Explanation:
If a gain of $7,000 results from selling (for cash) office equipment having a book value of $55,000, the total amount reported in the cash flows from investing activities section of the statement of cash flows is a.$48,000. b.$55,000. c.$62,000. d.$7,000.
Answers
The total amount reported in the cash flows from investing activities section of the statement of cash flows is $7,000.
What is the amount reported in the investing activities section of the statement of cash flows?In the cash flows from investing activities section of the statement of cash flows, the total amount reported would be $7,000. This amount represents the gain from selling office equipment for cash, which had a book value of $55,000.
When office equipment is sold, the gain or loss is calculated by subtracting the book value from the selling price. In this case, the gain is $7,000 ($55,000 - $48,000).
It's important to note that the book value represents the original cost of the equipment minus accumulated depreciation.
The cash flows from investing activities section of the statement of cash flows provides information about the cash inflows and outflows related to the purchase and sale of long-term assets, investments, and other non-current assets.
It helps stakeholders understand how a company is utilizing its resources and making investment decisions. By analyzing this section, investors can assess the company's investment strategies, liquidity, and potential for future growth.
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Assume that by continuing your education, you increased your yearly
earning potential from $21,484 to $39,746. If the additional education
costs $36,000, in about how many years will it pay for itself?
Answers
Answer:
2 years
Explanation:
The increase in yearly earnings is
= $39,746 - $21,484
=$18,262
Every year, extra earning is $18,262
the cost of education is $36,000
It will take =$36,000/$18,262 years to repay
=1.971 years
=2 years
Question: By continuing my education I increased my earning potential from $21,484 to $39,746 a year. That's a difference of $18262 a year.
Answer: 1 year
.Which of the following is probably the best way for a manager to provide good ethics leadership?
a. Hire an ethics officer
b. Write a code of conduct
c. Conduct ethics audits
d. Set a good example
e. Only hire good employees
Answers
Leading by example is perhaps the best way for managers to demonstrate good ethical leadership.
Option d is correct .
Leading by example is perhaps the best way for managers to demonstrate good ethical leadership. When managers demonstrate ethical behavior, it creates a positive atmosphere throughout the organization and encourages employees to follow suit. Leading by example creates a culture of integrity, trust and ethical decision-making in the workplace.
Hiring an ethics officer can help ensure compliance and provide guidance on ethical issues. However, it is managers who must embody and promote ethical behavior in their daily lives. Developing a code of conduct and conducting an ethics audit are important steps in establishing an ethics policy, but without a manager demonstrating ethical behavior, they can end up in vain.
Hence, Option d is correct .
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A business executive feels the need to win in everything he does, from his business deals, to his golf, and even with his romantic partners. The executive's behavior illustrates a(n):
Answers
A business executive feels the need to win in everything he does, from his business deals, to his golf, and even with his romantic partners. The executive's behavior illustrates a(n):need for achievement.
What is need for achievement?Need for achievement can be defined as the way in which a person is determine to achieve their goals or when a person is always eager to achieve their set goals and objectives.
Hence, the personalities display by the business executives is called need for achievement as the executives feels the need to win in everything he does,.
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5. The price of a laptop computer dropped from $1,800 to $1,200. What was the percent of
decrease?
a. 30%
b. 1/3
c. 33.33%
d. 333
Answers
Answer:
c. 33.33%
Explanation:
The original price was $1,800
The price dropped to $1,200
the drop in price was $1,800 - $1200 = $600
The percentage drop will be $600/$1800 x 100
=0.33333 x 100
=33.33%
Mickey and Minnie just bought a zero coupon bond for $565.75, but they cannot recall when it matures. The yield to maturity equals 13.5%. Can you help Mickey and Minnie? The bond's face value is $1000. (Assume annual discounting) (Enter your answer in years and round to 2 decimal places.)
Answers
The number of years until maturity is 2.50 years, rounded to two decimal places.
A bond that pays no periodic interest payments to the bondholder but instead is sold at a discount from the face value and then pays the face value at maturity is referred to as a zero-coupon bond. The yield to maturity is the rate of return that investors expect to earn on a bond if it is held until it matures.
The formula for determining the yield to maturity of a bond is as follows:
YTM = (C + ((F-P)/N)) / ((F+P)/2)
where: C is the bond's annual interest rate F is the face value of the bond P is the price of the bond N is the number of years until the bond matures
The price of the zero coupon bond at maturity is the face value. Hence, $1000 is the face value of the bond.
The price paid by Mickey and Minnie to buy the bond is $565.75.
This is given by the formula:
T = (ln(F/P)) / (n * ln(1 + r/n))
where: T is the number of years until the bond matures F is the face value of the bond P is the price of the bond r is the annual interest rate n is the number of compounding periods per year.
We are given that the yield to maturity equals 13.5% and that the bond's face value is $1000.
As a result, we may compute the value of P using the formula:
P = F / (1 + YTM / n)^n * T
Substituting the given values, we obtain:
P = $1000 / (1 + 13.5% / 1)^1 * T
Therefore, P = $875.81 = $565.75 / (1 + 13.5% / 1)^1 * T
In other words, T = 2.50 years (approx).
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