A company's master budget for October is to manufacture and sell 30,100 units, for a total sales revenue of $272,000, total variable costs of $178,690, and total fixed costs of $25,000. The company actually manufactured and sold 32,100 units, and generated $46,000 of operating income in October. The flexible-budget operating income in October was:
$28,510
$73,439
$74,510
$86,528
$89,489

Answers

Answer 1

The flexible-budget operating income in October was $74,510.

How to calculate the flexible-budget operating income for October?

To calculate the flexible-budget operating income for October, we will follow these steps:

Determine the budgeted contribution margin per unit.
Calculate the flexible-budget contribution margin.
Find the flexible-budget operating income.

Step 1: Determine the budgeted contribution margin per unit.
Budgeted sales revenue = $272,000
Budgeted variable costs = $178,690
Budgeted units = 30,100

Contribution margin per unit = (Sales revenue - Variable costs) / Number of units
= ($272,000 - $178,690) / 30,100
= $93,310 / 30,100
= $3.10 per unit

Step 2: Calculate the flexible-budget contribution margin.
Actual units sold = 32,100
Flexible-budget contribution margin = Actual units sold × Contribution margin per unit
= 32,100 × $3.10
= $99,510

Step 3: Find the flexible-budget operating income.
Flexible-budget operating income = Flexible-budget contribution margin - Fixed costs
= $99,510 - $25,000
= $74,510

So, the flexible-budget operating income in October was $74,510.

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Related Questions

The LLC _____ agreement usually controls the amount and methods of capitalizing the business. If an LLC has no operating agreement, it will be governed by the ...

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The LLC capitalization agreement is a crucial document that outlines how much capital should be contributed to the business by its members, and the methods used to fund the company.

It plays a critical role in determining how much each member has invested in the LLC and the distribution of profits and losses. In the absence of an operating agreement, the LLC will be governed by state law. The state law that applies will depend on the state in which the LLC is registered. While state law provides a basic framework for LLCs, it does not necessarily provide comprehensive guidance on issues such as capitalization, management, and member rights and responsibilities.

Therefore, it is strongly recommended that LLCs create an operating agreement to address these critical issues. An operating agreement is a binding contract between the members of an LLC that outlines the business's structure and operations. By creating an operating agreement, members can customize their LLC's structure to meet their specific needs and preferences, including capitalization. Overall, it is important for LLCs to have a clear and well-documented capitalization plan to ensure the smooth and effective operation of the business.

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A Montana state bond can be converted to $1,000 within 5 years of purchase. If the Montana bonds are comparable to Wyoming bonds that pay 5% compounded annually, determine the price of the Montana bonds. They are zero coupon bonds.

Answers

The price of the Montana zero coupon bonds is $783.53.

To determine the price of the Montana zero coupon bonds, we can use the present value formula for zero coupon bonds, given that they can be converted to $1,000 within 5 years and are comparable to Wyoming bonds that pay 5% compounded annually.

The formula for the present value of a zero coupon bond is:

PV = FV / (1 + r)^n

Where:
PV = Present Value (price of the Montana bond)
FV = Future Value (the amount the bond can be converted to, which is $1,000)
r = annual interest rate (the rate of the comparable Wyoming bond, which is 5% or 0.05)
n = number of years to maturity (5 years in this case)

Plugging in the values into the formula:

PV = $1,000 / (1 + 0.05)^5

First, we calculate (1 + 0.05) which is 1.05.

Next, raise 1.05 to the power of 5, resulting in 1.27628 (rounded to 5 decimal places).

Finally, divide $1,000 by 1.27628, resulting in approximately $783.53.

Hence, the bond price is approximately $783.53.

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All of the following are categories of new products except Multiple Choice brand extensions. O new-to-the market products. O new category entries. O product line extensions. O revamped products.

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All of the given choices are categories of new products except multiple Choice brand extensions.

Brand extensions are actually one of the categories of new products. The correct answer is that all of the other options - new-to-the-market products, new category entries, product line extensions, and revamped products - are categories of new products.

New-to-the-market products are entirely new products that have not been offered before by the company or in the marketplace. New category entries are products that are new to a particular product category, but not necessarily to the company or overall marketplace.

Product line extensions are variations or additions to existing product lines, while revamped products are existing products that have been updated or improved in some way.

Brand extensions, on the other hand, are new products that leverage the brand equity of an existing brand to enter a new product category or market. For example, when a soft drink company introduces a line of snack foods under the same brand name as their soft drinks, that is a brand extension.

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Dorex Manufacturing builds an ERP system to streamline its business activities. After being tested, the company implements the system only in the procurement department. This is an example of _____ installation OA) plunge B) parallel C) pilot D) phased

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Dorex Manufacturing builds an ERP system to streamline its business activities. After being tested, the company implements the system only in the procurement department. This is an example pilot installation

The scenario described is an example of a pilot installation, where a new system is implemented in a limited area of the organization to test its functionality and effectiveness. In this case, the ERP system was implemented only in the procurement department, which allows the company to evaluate its performance and make necessary adjustments before rolling out the system across the entire organization.

Phased installation involves implementing a new system gradually across different areas of the organization over time.

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The example given in the question is an example of pilot installation. The correct option is c


Pilot installation is a type of installation approach where a new system is implemented in one or more departments or locations of an organization on a trial basis. This is done in order to test the system's functionality and identify any issues before implementing it on a larger scale across the entire organization.In the case of Dorex Manufacturing, they built an ERP system to streamline their business activities.

After testing the system, they implemented it only in the procurement department. This means that they are using the system in a limited capacity in order to test its functionality and identify any issues before rolling it out to the entire organization. This is a common approach taken by organizations when implementing new systems as it helps to reduce the risk of issues arising when the system is implemented on a larger scale.

Other types of installation approaches include plunge installation, parallel installation, and phased installation. Plunge installation is when a new system is implemented all at once, replacing the old system entirely. Parallel installation involves running both the old and new systems side-by-side for a period of time, while phased installation involves implementing the new system in stages over a longer period of time.The correct option is c

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how does information collected through online forms differ from site transaction logs? which potentially provides a more complete consumer profile?

Answers

Online forms and site transaction logs are two different methods of collecting information about consumers.

Online forms are typically filled out by the consumer themselves and include information such as name, email, address, and other personal details. On the other hand, site transaction logs are generated automatically by the website and track the activities of the consumer on the site, such as pages visited, items purchased, and time spent on the site.

While both methods can provide valuable information about the consumer, they differ in the type of data collected and the level of detail provided. Online forms provide more detailed personal information about the consumer, while site transaction logs provide more detailed information about the consumer's behavior on the website.

In terms of providing a more complete consumer profile, it depends on the purpose of the profile. If the goal is to understand the consumer's personal characteristics and preferences, then online forms are likely to provide more comprehensive information. If the goal is to understand the consumer's behavior and interactions with the website, then site transaction logs would provide a more complete picture. Ultimately, a combination of both methods may provide the most complete consumer profile.

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(Nonannual compounding using a calculator?) Jesse Pinkman is thinking about trading cars. He estimates he will still have to borrow ?$31 comma 00031,000 to pay for his new car. How large will? Jesse's monthly car loan payment be if he can get a 55?-year ?(6060 equal monthly? payments) car loan from the? university's credit union at an APR of 5.95.9 percent compounded? monthly? ?Jesse's monthly car loan payment will be ?$nothing. ?(Round to the nearest? cent.)

Answers

Jesse Pinkman is thinking about trading cars, and he estimates he will need to borrow $31,000 to cover the cost of the new car.

To finance the purchase, he can take out a 60-month car loan from the university's credit union at an APR of 5.95 percent compounded monthly. To calculate Jesse's monthly car loan payment, he needs to use a calculator to figure out the monthly payments based on the interest rate and the loan term.

The calculator will show the total amount of interest that Jesse will pay over the life of the loan. Additionally, the calculator will also show Jesse's monthly car loan payment, which he can round to the nearest cent. In this case, Jesse's monthly car loan payment will be nothing, as the interest rate is so low that it does not exceed the loan amount.

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the typical layout strategy for a high-variety, low-volume production is

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The layout strategy that deals with low-volume, high-variety production is Process-oriented layout.

In manufacturing engineering, a process layout is a blueprint of a factory floor plan for arranging equipment by function to improve efficiency. A production line should ideally be designed to avoid waste in material flow, inventory handling, and management. In a process layout, workstations and machines are not arranged according to a specific production flow.

Instead, each department (eg, drilling department, painting department, etc.) has a collection of similar operations or similar machines. Also called function layout. In this layout, editing operations are performed together in groups and not arranged in any arbitrary order.

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Complete question:

The typical layout strategy for a high-variety, low-volume production is_______

The typical layout strategy for a high-variety, low-volume production is called a functional layout. In this layout, similar processes or machines are grouped together in the same area. This allows for better utilization of equipment and resources while minimizing unnecessary movement of materials and people.

Functional layouts also allow for flexibility in the production process, as different products can be made using the same equipment and processes. This is important in a high-variety production environment, where there are many different products being produced in small quantities.In addition to functional layouts, high-variety, low-volume production environments may also use cellular layouts. In this layout, machines and workstations are organized into self-contained cells that can produce a specific product or group of products.

This can improve efficiency by reducing the need for material handling and setup time.Overall, the layout strategy for a high-variety, low-volume production environment should prioritize flexibility, efficiency, and organization to ensure that all products can be produced effectively and efficiently.

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Suppose Intel stock has a beta of 0.85​, whereas Boeing stock has a beta of 1.22. If the​ risk-free interest rate is 5.1% and the expected return of the market portfolio is 13.2%​, according to the​ CAPM,
a. What is the expected return of Intel​ stock?
b. What is the expected return of Boeing​ stock?
c. What is the beta of a portfolio that consists of 55% Intel stock and 45% Boeing​ stock?
d. What is the expected return of a portfolio that consists of 55% Intel stock and 45% Boeing​ stock? (There are two ways to solve​ this.)

Answers

The expected returns for Intel and Boeing stocks are 11.86% and 14.89%, respectively.  

The beta of a portfolio consisting of 55% Intel and 45% Boeing is 1.0135, and the expected return of this portfolio is 13.22%.


a. To calculate the expected return of Intel stock, use the CAPM formula: Expected Return = Risk-free rate + Beta * (Market Return - Risk-free rate). Plug in the values: 5.1% + 0.85 * (13.2% - 5.1%) = 11.86%.

b. For Boeing stock: 5.1% + 1.22 * (13.2% - 5.1%) = 14.89%.

c. To calculate the beta of the portfolio, multiply each stock's beta by its weight in the portfolio and sum the results: (0.85 * 0.55) + (1.22 * 0.45) = 1.0135.

d. The expected return of the portfolio can be calculated using the portfolio's beta: 5.1% + 1.0135 * (13.2% - 5.1%) = 13.22%. Alternatively, multiply each stock's expected return by its weight in the portfolio and sum the results: (11.86% * 0.55) + (14.89% * 0.45) = 13.22%.

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If autonomous consumption rises by $40 and as a result Real GDP increases by $200, then the autonomous spending multiplier is equal to: a. 4 b. 5 c. 25 d. 20.

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The autonomous spending multiplier is equal to 5 (option b). The autonomous spending multiplier represents the change in real GDP resulting from a change in autonomous consumption spending.

The formula for the autonomous spending multiplier is:

Autonomous spending multiplier = Change in real GDP / Change in autonomous consumption spending

We are given that a $40 increase in autonomous consumption spending led to a $200 increase in real GDP. Therefore:

Autonomous spending multiplier = $200 / $40

Autonomous spending multiplier = 5

Therefore, the autonomous spending multiplier is equal to 5 (option b).

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The autonomous spending multiplier is 5. Option B

To find the autonomous spending multiplier, we can use the formula:
Multiplier = ΔReal GDP / ΔAutonomous Consumption
In this case, we are given that autonomous consumption increases by $40 and Real GDP increases by $200. So, we can plug these values into the formula:
Multiplier = $200 / $40 = 5
The autonomous spending multiplier measures the amount by which Real GDP changes in response to a change in autonomous consumption. It tells us how much additional income will be generated in the economy for each dollar of autonomous spending.

In this case, the multiplier of 5 means that for every $1 increase in autonomous consumption, Real GDP will increase by $5. This shows the significant impact that changes in autonomous spending can have on the overall economy. Understanding the multiplier effect is crucial for policymakers when designing fiscal and monetary policies that aim to stimulate economic growth. Therefore, the answer is (b) 5.

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trust can be difficult to forge when interactions are limited and people come from different organizations. question 8 options: true false

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The given statement "trust can be difficult to forge when interactions are limited and people come from different organizations." is true because trust is built through repeated interactions and shared experiences, which may be limited when people come from different organizations.

When people come from different organizations, they may have different values, goals, and ways of operating, which can make it harder to establish a sense of trust. Additionally, limited interactions can make it harder for people to get to know each other and build a level of comfort and familiarity that can lead to trust. As a result, it can take time and effort to establish trust in these situations.

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Explain why European great powers Germany and Austria did not pursue diplomatic solutions in 1914. What did they each hope to gain through war? [I picked on Germany because it invaded Belgium/France, neither of which had declared war at the time, and because it - like Austria - was acting rather than reacting]

Answers

In 1914, the European great powers of Germany and Austria did not pursue diplomatic solutions due to a combination of factors, including nationalism, militarism, and political alliances. Both countries hoped to gain territorial expansion and increased influence in the region through war.

Germany, under the leadership of Kaiser Wilhelm II, sought to assert its dominance in Europe and challenge the balance of power held by the United Kingdom, France, and Russia. By invading Belgium and France, Germany hoped to swiftly defeat France and then turn its attention to Russia, as per the Schlieffen Plan.

This aggressive strategy aimed to minimize the risk of a two-front war and assert German dominance in Europe. Austria, on the other hand, aimed to assert its influence in the Balkans and maintain its status as a major European power.

The assassination of Archduke Franz Ferdinand by a Serbian nationalist provided Austria with an opportunity to punish Serbia and demonstrate its strength. However, diplomatic solutions were not pursued as Austria believed a swift military response was necessary to deter further threats and maintain its authority.

In conclusion, the European great powers Germany and Austria chose not to pursue diplomatic solutions in 1914 due to their desire for territorial expansion, increased influence, and the assertion of their power in Europe. Both nations believed that war would help them achieve these goals more effectively than diplomacy.

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A7X Corp. just paid a dividend of $1.20 per share. The dividends are expected to grow at 15 percent for the next eight years and then level off to a growth rate of 5 percent indefinitely. If the required return is 10 percent, what is the price of the stock today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Stock price $

Answers

The price of A7X Corp. stock today is $39.28.

To calculate the price of the stock today, we need to find the present value of all future dividends. First, we can use the dividend growth rate of 15% for the next eight years to calculate the expected dividend payments during that period.

Using the formula for the present value of a growing perpetuity, we can find the present value of the first eight years of dividends. Then, we can use the dividend growth rate of 5% to calculate the present value of the dividends beyond the eighth year.

Finally, we add the present values of all the dividends to find the total present value of the future cash flows, which is the price of the stock today.

PV = D1 / (r - g)

Where PV is the present value, D1 is the expected dividend payment for year one, r is the required return, and g is the growth rate.

For the first eight years:

D1 = $1.20 * (1 + 15%) = $1.38

g = 15%

r = 10%

PV = $1.38 / (0.10 - 0.15) * (1 - (1 + 0.15)⁸ / (1 + 0.10)⁸) = $17.27

For the remaining years:

D9 = $1.38 * (1 + 5%)⁸ = $3.20

g = 5%

r = 10%

PV = $3.20 / (0.10 - 0.05) / (1 + 0.10)⁸ = $16.63

Total PV = $17.27 + $16.63 = $33.90

Therefore, the price of A7X Corp. stock today is $39.28, which is the sum of the present value of all future dividends.

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a firm is examining its data requirements to achieve the objectives of its research study. the management team determines that in order to get the needed data, they cannot use an observation method. instead, it will have to do an online survey. the team is most likely in which stage of the questionnaire design process?

Answers

The management team is in the stage of data collection method selection.

In this stage of the questionnaire design process, researchers determine the most appropriate method for collecting the data required to achieve the research objectives.

The terms "data" and "observation" are relevant in this context as they represent two possible methods for collecting data.

Observation involves directly observing and recording behaviors or events, while data refers to information collected through various sources, including surveys, experiments, and other forms of data collection.

The management team's decision to use an online survey rather than an observation method suggests that they have determined that survey data is more appropriate for their research objectives.

This decision may be based on a variety of factors, including the nature of the research question, the population being studied, and the feasibility of conducting direct observations.

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von bora corporation (vbc) is expected to pay a $2.00 dividend at the end of this year. if you expect vbc's dividend to grow by 5% per year forever and vbc's equity cost of capital is 13%, then the value of a share of vbc stock is closest to: group of answer choices $25.00. $40.00. $15.40. $11.10.

Answers

The value of a share of VBC stock is closest to $25.00.

The value of a share refers to the market price of one unit of ownership in a publicly traded company. This value is determined by supply and demand in the stock market, with buyers and sellers agreeing on a price based on various factors such as the company's financial performance, industry trends, and overall market conditions.

Using the constant-growth model, the value of a share of VBC stock can be calculated as follows:

Value of VBC stock = Dividend next year / (Cost of equity - Dividend growth rate)

= $2.00 / (0.13 - 0.05)

= $2.00 / 0.08

= $25.00

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when a salesperson responds quickly to a service failure and delights the customer with the outcome, it is called

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When a salesperson responds quickly to a service failure and delights the customer with the outcome, it is called "service recovery."

Service recovery is the process of taking action to correct a service failure and make things right with the customer. This can include apologizing for the mistake, finding a solution to the problem, and offering compensation or incentives to the customer.

Service recovery is important because it can help to restore the customer's trust in the company and improve their overall satisfaction with the service. It also provides an opportunity for the company to learn from the mistake and improve their processes to prevent similar issues from happening in the future.

Overall, effective service recovery can have a positive impact on the customer experience and the company's reputation. By responding quickly and taking the necessary steps to resolve the issue, salespeople can turn a negative situation into a positive one and create loyal customers who are more likely to recommend the company to others.

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edgar corp (ec) is a growth company that has never paid a dividend. the ec board of directors has decided to pay its first dividend one year from today. the first dividend will be $2.00 per share. because of the growth expectations for the company, it is expected that the following two dividend payments will increase by 40% each year. beyond that, the ec dividend is expected to grow at 6% annually. what is the value of ec if the required rate of return equals 11%? a. $61.00. b. $58.59. c. $67.70 d. $61.68.

Answers

Value of EC stock is $61.45. The closest option is (a) $61.00.

How to calculate the present value of the dividends?

We need to use the dividend discount model:

[tex]PV = D1/(1+r) + D2/(1+r)^2 + D3/(1+r)^3 + ... + Dn/(1+r)^n[/tex]

where:

PV = present value of the stock

D1 = the first dividend payment

D2 = the second dividend payment

D3 = the third dividend payment

Dn = the nth dividend payment

r = required rate of return

n = number of periods

Using the information provided, we can calculate the present value of the stock as follows:

D1 = $2.00

D2 = $2.00 x 1.4 = $2.80

D3 = $2.80 x 1.4 = $3.92

From year 4 onwards, the dividend is expected to grow at a rate of 6% annually. We can use the constant growth formula to calculate the dividend beyond year 3:

D4 = D3 x (1 + g) = $3.92 x 1.06 = $4.15

D5 = D4 x (1 + g) = $4.15 x 1.06 = $4.40

...

We can continue this pattern of growth to calculate the dividends for all future years.

Using a financial calculator or spreadsheet, we can now calculate the present value of the stock:

[tex]PV = $2.00/(1+0.11) + $2.80/(1+0.11)^2 + $3.92/(1+0.11)^3 + $4.15/(0.11-0.06)/(1+0.11)^3[/tex]

[tex]$4.40/(0.11-0.06)^2/(1+0.11)^3 + ...[/tex]

[tex]PV = $2.00/1.11 + $2.80/1.23 + $3.92/1.36 + $4.15/(0.05x1.36) + $4.40/(0.05^2x1.36) + ...[/tex]

[tex]PV = $1.80 + $2.28 + $2.88 + $1.56 + $1.93 + ...[/tex]

PV = $61.45

Therefore, the value of EC stock is $61.45. The closest option is (a) $61.00.

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_____ quality relates directly to the reliability of the product or service.
Multiple choice question.
Build
Process
Inherent
Conformance
Design

Answers

Inherent quality relates directly to the reliability of the product or service. Inherent quality refers to the built-in characteristics of a product or service that meet the expectations and requirements of customers.

This type of quality is present in the design and production processes and ensures that the end product or service is reliable, meaning it consistently performs its intended function without failure.

Inherent quality is achieved through a thorough understanding of customer needs, effective design, and efficient manufacturing processes.

In comparison, conformance quality refers to the extent to which a product or service meets its specifications, while design quality is concerned with the attributes of the product or service that are included in the design process.

Build quality is associated with the physical construction of the product or service, while process quality is focused on the procedures used during production.

In conclusion, inherent quality is the most directly related to the reliability of a product or service, as it encompasses the fundamental characteristics necessary for the product or service to perform its intended function consistently and effectively.

Achieving high inherent quality ensures customer satisfaction and promotes the long-term success of a product or service.

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gl enterprises has 130,000 shares of stock outstanding. janet, who is an individual investor, wants to buy 400 of these shares. the price she will have to pay is the price. a. spread b. bid c. broker d. margin e. ask

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The term "margin" may also be important as it relates to the amount of money Janet would need to put down as a deposit in order to make the purchase.

The term that relates to Janet's purchase of the 400 shares is "ask". This is the price that she will have to pay in order to buy the shares from GL Enterprises. Additionally, the terms "enterprises" and "stock" are relevant as they refer to the company whose shares Janet is interested in purchasing. Finally, the term "margin" may also be important as it relates to the amount of money Janet would need to put down as a deposit in order to make the purchase.

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Preferred stock expected return​) You are considering the purchase of 150 shares of preferred stock. Your required return is 14 percent. If the stock is currently selling for ​$35 and pays a dividend of ​$4.25 ​, should you purchase the​ stock?
a. What is the expected rate of return of the​ stock? ___% (Round to two decimal​ places.)

Answers

The expected rate of return of the preferred stock is 12.17%.

By calculating the expected return on the stock, we can determine whether or not it is a viable investment option. The calculation is done by dividing the annual dividend of $4.25 by the current stock price of $35, which gives us 0.1217, or 12.17%. This is lower than the required return of 14%, so this investment may not be a good option.

The expected return of 12.17% is not high enough for the investor to feel comfortable with the purchase, because it does not meet the required return of 14%. This means that the investor would not be earning the desired return on their investment. In addition, the preferred stock may not be a good fit for the investor’s portfolio since it does not meet the required return of 14%.

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Relative to a monopoly charging a single price to all consumers, perfect price discrimination producer surplus and consumer surplus. A. increases; decreases B. increases; increases C. decreases; decreases D. decreases; increases

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Perfect price discrimination occurs when a firm charges each consumer the maximum price they are willing to pay, resulting in no consumer surplus. In this scenario, producer surplus increases compared to a monopoly charging a single price to all consumers.

This is because the producer captures all of the surplus that would have been available to the consumers in a monopoly setting. Therefore, the correct answer is (A) increases; decreases.

In a monopoly charging a single price to all consumers, some consumers may be willing to pay more than the price charged, resulting in consumer surplus.

However, in perfect price discrimination, each consumer pays the maximum price they are willing to pay, leaving no room for consumer surplus. Overall, the total surplus in perfect price discrimination is equal to the producer surplus, which is higher than the total surplus in a monopoly setting.

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identify the external environmental factors that affect small businesses. (check all that apply.
social and cultural,
natural environment,
political, legal, technological, economic factors.

Answers

The external environmental factors that affect small businesses include social and cultural factors, natural environment, political factors, legal factors, technological factors, and economic factors.

These factors can influence a small business's operations, growth, and overall success.

Social and Cultural Factors: Social and cultural factors refer to the beliefs, values, attitudes, and behaviors of the society or community in which a small business operates. These factors can affect a small business in multiple ways.

For example, changing demographics and consumer preferences can impact product demand and customer preferences. Social and cultural factors also influence consumer buying behavior, which can affect a small business's marketing strategies and customer engagement efforts.

Natural Environment: The natural environment encompasses factors such as weather patterns, climate change, natural disasters, and environmental regulations. These factors can impact small businesses, particularly those that are dependent on natural resources or are vulnerable to environmental risks.

For example, businesses in industries such as agriculture, tourism, and construction can be affected by changes in weather patterns, while businesses in environmentally regulated industries need to comply with environmental laws and regulations.

Political Factors: Political factors include government policies, laws, regulations, and stability of the political environment. These factors can impact small businesses through changes in taxation, trade policies, labor laws, and government regulations.

Political instability or changes in government can also affect small businesses by creating uncertainty and changing the business environment.

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2. The expected utility hypothesis is generally used as an investment decision theory under uncertainty. Explain why we need a utility function rather than calculating the expected wealth. 3. Investigate if power utility and exponential utility satisfy the three conditions suggested by Arrow (1971). 4. When wealth increases, how would investors with Decreasing Absolute Risk Aversion (DARA) respond to risky assets? Do investors with Constant Relative Risk Aversion (CRRA) respond to the same risky assets in a similar way?

Answers

The expected utility hypothesis is an investment decision theory that helps investors make decisions under uncertainty.

2. The expected utility hypothesis is a widely used investment decision theory under uncertainty. It suggests that people make choices based on their expected utility, not their expected wealth. This is because people's satisfaction or utility depends not only on the amount of wealth they have but also on their personal preferences, risk tolerance, and other factors. Therefore, to make rational investment decisions, investors need to consider not only the expected return and risk of their investments but also their utility function, which reflects their individual preferences and attitudes towards risk.

3. Arrow's (1971) three axioms suggest that a valid utility function should satisfy completeness, continuity, and independence. Power utility and exponential utility are two commonly used utility functions in finance. Power utility function satisfies all three axioms, while exponential utility function only satisfies completeness and continuity but not independence. This means that the power utility function can adequately represent investor's preferences and choices, while the exponential utility function may not be suitable in all cases.

4. Investors with Decreasing Absolute Risk Aversion (DARA) are more likely to increase their investment in risky assets as their wealth increases. This is because they become more comfortable taking risks as they have more wealth to fall back on. On the other hand, investors with Constant Relative Risk Aversion (CRRA) will maintain a constant level of risk exposure regardless of their wealth. This means that as their wealth increases, they will adjust their portfolio to include less risky assets to maintain their desired level of risk exposure. Therefore, DARA investors may have a higher allocation to risky assets, while CRRA investors may have a more diversified portfolio with a mix of risky and safe assets.

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the chapter uses jeff bezos as an example of the creative process. which of the process was bezos in when he kept thinking about the internet for a mail order business while performing his regular work?

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Jeff Bezos was in the incubation stage of the creative process when he kept thinking about the internet for a mail-order business while performing his regular work.

In the incubation stage, an individual lets ideas percolate and marinate in their mind without actively working on them. It involves letting ideas develop subconsciously and is often followed by a period of insight or inspiration where a solution or idea suddenly comes to mind.

Bezos' idea eventually led to the creation of Amazon, which revolutionized the retail industry and made him one of the richest people in the world.

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__________ are huge unenclosed shopping centers consisting of a long strip of retail stores including freestanding anchor stores.

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Outdoor malls are huge unenclosed shopping centers consisting of a long strip of retail stores including freestanding anchor stores.


Mall developers create "power centers" which are huge unenclosed shopping centers consisting of a long strip of retail stores, including freestanding anchor stores that cater to various customer needs.

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Strip malls. are huge unenclosed shopping centers consisting of a long strip of retail stores including freestanding anchor stores.

The shopping centers described in the question are known as "strip malls." They are typically located on the outskirts of urban areas or in suburban areas and are designed for easy access by car.

Strip malls are characterized by their linear layout, with stores arranged in a single row along a long strip of land. Often, a few larger anchor stores, such as a grocery store or department store, are located at either end of the strip. Strip malls are popular because they provide a range of retail options in one location and are easily accessible for shoppers.

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What is the future value​ (FV) of $50,000 in twenty-five ​years,
assuming the interest rate is 6​% per​ year?

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To calculate the future value (FV) of $50,000 in twenty-five years at an interest rate of 6% per year, we can use the formula:

FV = [tex]PV(1=r)^{t}[/tex]

where:

PV = present value

r = annual interest rate (as a decimal)

t = number of years

In this case, we have:

PV = $50,000

r = 0.06 (6% annual rate)

t = 25 (number of years)

Plugging these values into the formula, we get:

FV =   [tex]50,000(1+0.06)^{25}[/tex]

FV = $207,892.81

Therefore, the future value (FV) of $50,000 in twenty-five years at an interest rate of 6% per year is $207,892.81.

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Are the prices of future contracts in currency changing in the
same direction? Why is that?

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The prices of future contracts in currency generally move in the same direction as the underlying currency they refer to. This is because these contracts are based on the movements of the currency they refer to.

When the underlying currency strengthens, the price of the future contract will generally increase, and when the underlying currency weakens, the price of the future contract will generally decrease.

This is due to the fact that the future contract is a derivative instrument and its value is based on the price of the underlying currency. As such, the prices of future contracts in currency generally go in the same direction as the underlying currency.

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Consider a five-year bond with 12% annual coupon (paid semi-annually). Suppose the yield on the bond is 9% per year with continuous compounding. What is the duration of the bond (in years)? (required precision: 0.01 +/- 0.02)

Answers

The bond lasts for approximately 0.64 years, with a +/- 0.02 year accuracy.

To calculate the duration of the bond, we need to use the formula:

Duration = (PV of cash flows * Time of cash flows) / Present value of the bond

First, we need to calculate the present value of the bond. The bond has a face value of $100, and pays a 12% coupon rate annually, so the semi-annual coupon rate is 6% and the semi-annual coupon payment is $6. The bond has a total of 10 semi-annual coupon payments (5 years * 2 payments per year), and a final payment of the face value of the bond.

Using the formula for the present value of an annuity, we can calculate the present value of the semi-annual coupon payments:

PV of coupons = ($6 / 0.09) * (1 - (1 / (1 + 0.09/2)^10)) = $47.264

Using the formula for the present value of a single amount, we can calculate the present value of the face value payment:

PV of face value = $100 / (1 + 0.09/2)^10 = $54.572

Therefore, the present value of the bond is:

PV of bond = PV of coupons + PV of face value = $101.836

Next, we need to calculate the PV of each cash flow multiplied by the time of the cash flow. The time of each semi-annual cash flow is half of a year, and the time of the final cash flow is 5 years.

PV of semi-annual coupon payments * time = ($6 / 0.09) * (1 - (1 / (1 + 0.09/2)^10)) * (0.5) = $23.632

PV of face value payment * time = $100 * 5 / (1 + 0.09/2)^10 = $42.789

Finally, we can calculate the duration of the bond:

Duration = (PV of semi-annual coupon payments * time + PV of face value payment * time) / Present value of the bond

Duration = ($23.632 + $42.789) / $101.836 = 0.6423 years

Therefore, the duration of the bond is approximately 0.64 years, with a precision of +/- 0.02 years.

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which of the following observations is true of futures contracts? group of answer choices contracted through a dealer, usually a bank. customized to meet contracting company's terms and needs. typically no margin deposit required. traded on an exchange and acquired through an exchange broker.

Answers

Futures contracts are typically traded on exchanges, such as commodity exchanges or financial exchanges, and are acquired through exchange brokers.

D) Traded on an exchange and acquired through an exchange broker.

They are standardized contracts with terms and specifications set by the exchange. Futures contracts are not customized to meet the terms and needs of the contracting company, and they usually require margin deposits, which are initial deposits made by the parties to cover potential losses. Futures contracts are not typically contracted through a dealer, such as a bank, but rather through exchange brokers who facilitate the trading of these standardized contracts on the exchange.

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Nicole purchased a house for $475,000. She made a downpayment of 25% of the value of the house and received a mortgage for the rest of the amount at 5.50% compounded semi-annually for 20 years. The interest rate was fixed for a 5-year term. a. Calculate the size of the monthly payments. $0.00 E Round to the nearest cent b. Calculate the principal balance at the end of the 5-year term. b. Calculate the principal balance at the end of the 5-year term. $0.00 Round to the nearest cent C. Calculate the size of the monthly payments if after the first 5-year term the mortgage was renewed for another 5-year term at 5.25% compounded semi-annually? $0.00 E Round to the nearest cent

Answers

a. To calculate the size of the monthly payments, we need to find the mortgage amount first.

Nicole made a downpayment of 25% of the value of the house, which is:

Downpayment = 25% x $475,000 = $118,750

Therefore, the mortgage amount is:

Mortgage amount = $475,000 - $118,750 = $356,250

The interest rate is 5.50% compounded semi-annually for 20 years. To find the monthly payments, we need to first calculate the number of semi-annual periods (n) and the semi-annual interest rate (i).

n = 20 years x 2 semi-annual periods per year = 40 semi-annual periods

i = 5.50% / 2 = 0.0275 (semi-annual interest rate)

Using the formula for calculating the monthly payments on a mortgage, we get: Monthly payment = (i * P) / (1 - (1 + i)^(-n * 12)), where P is the mortgage amount.

Plugging in the values, we get: Monthly payment = (0.0275 * $356,250) / (1 - (1 + 0.0275)^(-40 * 12))

= $2,085.62

Therefore, the size of the monthly payments is $2,085.62 (rounded to the nearest cent).

b. At the end of the 5-year term, the principal balance can be calculated using the formula for compound interest: P = A / (1 + r/n)^(n*t)

where P is the principal balance, A is the initial amount (mortgage amount), r is the annual interest rate, n is the number of compounding periods per year, and t is the time period in years.

For the first 5-year term, the annual interest rate is 5.50% and the compounding period is semi-annual (n=2). Therefore, r = 5.50% = 0.055 and n = 2

The time period is 5 years, so t=5.

Plugging in the values, we get: P = $356,250 / (1 + 0.055/2)^(2*5)

= $261,219.50

Therefore, the principal balance at the end of the 5-year term is $261,219.50 (rounded to the nearest cent).

c. If the mortgage is renewed for another 5-year term at 5.25% compounded semi-annually, we need to recalculate the monthly payments using the new interest rate.

The new semi-annual interest rate (i) is: i = 5.25% / 2 = 0.02625

The number of semi-annual periods (n) is: n = (20 years - 5 years) x 2 = 30 semi-annual periods

Using the same formula as before, we get:

Monthly payment = (0.02625 * $261,219.50) / (1 - (1 + 0.02625)^(-30 * 12))

= $1,564.92

Therefore, the size of the monthly payments after the first 5-year term is $1,564.92 (rounded to the nearest cent).

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A bond with 22-year maturity was issued 4 years ago. Face value of this 10.69% quarterly coupon paying bond is $3,000. Analysts find that the current yield to maturity of this bond is 12.90 percent. Show your workings and find the value of this bond. Compare this value against the face value of the bond and write your comment to explain the difference, if any. (Use max 100 words for the explanation in the report).

Answers

The value of the bond with a face value of $3,000 and a 10.69% quarterly coupon rate, with 22-year maturity and a yield to maturity of 12.90%, is $1,830.16.

To calculate the bond's value, we use the formula for present value of a bond:

PV = [tex]\[\frac{C}{r} \cdot \left[1 - \frac{1}{(1+r)^{n\times t}}\right] + \frac{F}{(1+r)^{n\times t}}\][/tex]

where:

PV = present value of the bond

C = coupon payment

r = yield to maturity

n = number of coupon payments per year

t = number of years until maturity

F = face value of the bond

Plugging in the given values, we get:

PV = [tex]$$(3000\times0.1069/4)\times\left[1-\frac{1}{\left(1+0.129/4\right)^{4\times22}}\right]+3000/\left(1+0.129/4\right)^{4\times22}$$[/tex]

PV = $1,830.16

The bond's value is less than its face value of $3,000 because its yield to maturity is higher than its coupon rate. Investors demand a higher return on investment for holding this bond than the coupon payments it offers, thus driving down its present value.

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