(Related to Checkpoint 9.3) (Bond valuation) Pybus, Inc. is considering issuing bonds that will mature in 25 years with an annual coupon rate of 8 percent. Their par value will be $1,000, and the interest will be paid semiannually. Pybus is hoping to get a AA rating on its bonds and, if it does, the yield to maturity on similar AA bonds is 11 percent. However, Pybus is not sure whether the new bonds will receive a AA rating. If they receive an A rating, the yield to maturity on similar A bonds is 12 percent. What will be the price of these bonds if they receive either an A or a AA rating? a. The price of the Pybus bonds if they receive a AA rating will be s (Round to the nearest cent.) Enter your answer in the answer box and then click Check Answer. part remaining Clear All Check Answer

The correct sequence of activities in organizational strategic planning is mission, Environmental analysis, goals, objectives.

The first step in strategic planning is to outline the business enterprise's mission, which is a declaration that outlines the corporation's purpose, values, and common course.

Subsequent, an environmental analysis is conducted to identify external factors that may impact the business enterprise's ability to attain its project, which includes financial developments, competition, and regulatory modifications.

Based on the mission and environmental analysis, precise goals are mounted to manual the corporation's movements and decisions.

Finally, objectives are identified with a purpose to assist the enterprise obtain its desires, and techniques are evolved to perform the ones objectives.

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The correct sequence of events in organizational strategic planning is Mission, Environmental Analysis, Goals, and Objectives.

The organization's goals and core beliefs are outlined in the mission statement. The environmental analysis looks at both internal and external elements that might have an impact on how successful an organization is. The objectives are the precise, quantifiable steps required to carry out the particular, long-term consequences that the organization has set as its goals. This process guarantees that the organization has a clear grasp of its goals and values, the possibilities and difficulties it must overcome, and a plan for accomplishing its objectives.

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The account balance will be $8,162 after 10 years.

Using the formula for compound interest, the balance after 10 years can be calculated as:

A = P * (1 + r/n)^(n*t)

A = the account balance after 10 years

P = the principal investment of $5000

r = the annual interest rate of 5% (expressed as a decimal)

n = the number of times the interest is compounded per year (quarterly compounding means n = 4)

t = the number of years (10 years in this case)

Plugging in the values:

A = 5000 * (1 + 0.05/4)^(4*10) = $8,162 (rounded to the nearest dollar)

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Large Mac PPP is a colloquial statistic used to contrast the buying power of various currencies with the cost of a Big Mac at McDonald's. The Big Mac Index is another name for the Big Mac PPP. The cost of a Big Mac in that country's currency is used to compare currencies.

To gauge the differences in consumer purchasing power between countries, the Big Mac Index was developed. The burger takes the place of the "basket of goods" that economists previously used to gauge variations in consumer pricing.

The Big Mac Index, a study conducted by The Economist, looks at the relative overvaluation or undervaluation of currencies using the relative cost of a Big Mac around the world.

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To qualify for the mortgage in about two years for an $800,000 home in the Durham region, you should consider the following: down payment, income, the 5 Cs, and capacity requirements.

1. Down payment: A typical down payment ranges from 5% to 20%. For an $800,000 home, a minimum down payment of 5% ($40,000) is required, but a 20% down payment ($160,000) would help avoid mortgage default insurance costs. With your current savings of $30,000, you should focus on increasing your savings to meet the required down payment.

2. Income: Lenders typically use the gross debt service (GDS) and total debt service (TDS) ratios to assess your ability to afford the mortgage. To qualify, your GDS should be below 32% and your TDS below 40%. You'll need a stable income sufficient to cover the mortgage, property taxes, utilities, and other debts.

3. 5Cs: The five Cs of credit—character, capacity, capital, collateral, and conditions—will be evaluated by the lender. Make sure you have a good credit history (character), sufficient income and savings (capacity and capital), and provide collateral (your home). Additionally, consider current market conditions.

4. Capacity requirements: Ensure that you meet the lender's capacity requirements, including credit score, employment history, and debt-to-income ratio.

To improve your chances of qualifying for the mortgage, focus on increasing your savings for the down payment, maintaining a stable income, and improving your credit score. Keep in mind that other factors, such as interest rates and housing market conditions, may also affect your eligibility.

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The two things that are at the core of the balanced Scorecard are Organizational vision and strategy.

The balanced scorecard entails measuring 4 major factors of a commercial enterprise: Learning and growth, commercial enterprise processes, customers, and finance. BSCs permit groups to pool records in a unmarried report, to offer records into provider and first-class further to economic performance, and to assist enhance efficiencies. The capabilities of the Balanced Scorecard: Clarify and speak commercial enterprise priorities and targets to the complete organization. Define and control motion plans to make certain that there are sports and packages with the intention to supply the strategic targets. Monitor and degree development on strategic targets.

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The two things that are at the core of the balanced Scorecard are organizational culture and vision, and business performance and competitive advantage.

Organizational culture refers to the shared values, beliefs, behaviors, and attitudes that shape how people work together and interact within an organization. A strong organizational culture can help to drive employee engagement, productivity, and retention, which are all critical factors for achieving long-term success. On the other hand, an unhealthy or toxic culture can have a detrimental effect on employee morale, performance, and overall business outcomes.
Vision is also a critical component of the balanced Scorecard, as it provides a clear and compelling direction for the organization to follow. A well-defined vision can help to align employees and stakeholders around a common purpose and inspire them to work towards a shared goal. In addition, it can help to drive innovation and creativity by encouraging employees to think outside the box and pursue new ideas and opportunities.
In summary, a strong organizational culture and vision are essential for driving business performance and competitive advantage. By focusing on these core components, organizations can build a foundation for long-term success and achieve their strategic objectives.

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The statement "one possible response to managing negative risk is to accept the potential effects of the risk" is true. Negative risk refers to the potential adverse consequences or losses that may arise from a particular event or decision.

These risks can impact various aspects of a project or organization, such as finances, reputation, or operations. Accepting the potential effects of a negative risk involves recognizing that the risk exists and making a conscious decision to tolerate the possible consequences.

This approach is often taken when the cost or effort required to mitigate the risk is too high or when the potential impact of the risk is deemed manageable. In these situations, it may be more feasible and cost-effective to accept the risk and focus on managing its consequences if it materializes, rather than attempting to prevent or minimize its occurrence.

To effectively accept and manage negative risks, it is crucial to establish a risk management process that includes identifying, assessing, and prioritizing potential risks. This involves evaluating the likelihood and impact of each risk and determining the appropriate response based on the organization's risk appetite and available resources.  

Additionally, communication and monitoring of the accepted risks are essential to ensure that any changes in the risk landscape are identified and addressed promptly.

In conclusion, accepting the potential effects of a negative risk can be a valid and pragmatic response to managing such risks, especially when mitigation efforts are deemed impractical or cost-prohibitive. This approach requires careful assessment, prioritization, communication, and monitoring of risks to ensure that any adverse consequences are managed effectively.

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Maximum price you would be willing to pay for this asset is $68,645.45

To calculate the maximum price you would be willing to pay for this asset, we need to determine the present value of the future cash flows that it will generate. We can use the formula for the present value of a lump sum:

PV = FV / (1 + r)^n

Where:

PV = Present Value

FV = Future Value

r = Required Rate of Return

n = Number of Periods

In this case, FV = $120,800, r = 12% (0.12) and n = 5.

Plugging these values into the formula, we get:

PV = $120,800 / (1 + 0.12)⁵

PV = $68,645.45

Therefore, the maximum price you would be willing to pay for this asset is $68,645.45.

Any price higher than this would not provide the required rate of return of 12%.

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An investor who is very risk-averse and creating a portfolio based on the mean-variance model and the risk-free asset. The investor will most likely choose an investment on C. the line segment connecting the risk-free rate to the market portfolio.

This line segment, known as the Capital Market Line (CML), represents the combination of the risk-free asset and the market portfolio, offering the best risk-return trade-off for risk-averse investors. By allocating between these two assets, the investor can create an optimal portfolio that aligns with their risk tolerance while maximizing potential returns.

Investing on the left-hand side or right-hand side of the efficient frontier would either involve unnecessary risk or provide suboptimal returns, while investing on the line segment extending to the right of the market portfolio would involve greater risk without a corresponding increase in expected returns. Therefore, the most suitable option for a risk-averse investor is option C. the line segment connecting the risk-free rate to the market portfolio.

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The manufacturer should use 7,688 units of raw wheat for cereal to maximize their profit.

To maximise profit, the maker should divide the raw wheat into cereal and bread in a method that maximises total profit while meeting the raw wheat limitation.

Let's first calculate the profit for each product:

- Profit per box of cereal (C): $1.00

- Profit per bread pack (B): $0.50

C = 26Wc - 15W2 is the cereal production function.

B = 713W - 2W2 is the bread manufacturing function.

Wc + W = 7690 is the raw wheat restriction.

To maximise profits, we must implement a Lagrangian function:

L = 1C + 0.5B + λ(Wc + W - 7690)

Taking partial derivatives and setting them equal to zero:

dL/dWc = 26 - λ = 0

dL/dW = 1 - λ = 0

dL/dλ = Wc + W - 7690 = 0

Solving for λ in the first two equations and equating them, we get:

26/1 = λ/0.5

λ = 13

Using λ, we can solve for Wc and W:

26 - λ = 13

Wc = (13/26)W = 0.5W

1 - λ = -12

W = 12

Wc + W = 0.5W + 12 = 7690

0.5W = 7688

W = 15376

Wc = 0.5W = 0.5 x 15376 = 7688

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In order to avoid complex federal regulatory filings and comply with exemptions under Regulation D, these offerings are often limited to "accredited" investors (option a).

Sponsors of real estate deals frequently raise money from multiple partners to finance their projects.
Accredited investors are individuals or entities with a certain level of financial sophistication, which allows them to participate in higher-risk investments. By limiting offerings to accredited investors, sponsors can meet the requirements of Regulation D and bypass some of the more cumbersome filing processes. This enables sponsors to efficiently raise funds while ensuring that their investors are well-informed and capable of handling the associated risks.

Thus, the correct choice is A- "Accredited" investors

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The Natural Rate of Unemployment in this country is 3%.

1. Cyclical unemployment is 5%. This type of unemployment occurs due to fluctuations in the business cycle and is not part of the Natural Rate of Unemployment.

2. Frictional unemployment is 2%. This type of unemployment occurs when people are transitioning between jobs, entering the workforce, or searching for new opportunities.

3. Structural unemployment is 1%. This type of unemployment results from a mismatch between the skills of the workforce and the available job opportunities, often due to changes in technology or industry demands.

To find the Natural Rate of Unemployment, add the Frictional and Structural unemployment rates:

Natural Rate of Unemployment = Frictional Unemployment + Structural Unemployment
Natural Rate of Unemployment = 2% + 1%

Therefore, the Natural Rate of Unemployment in this country is 3%.

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The Natural Rate of Unemployment is the sum of the frictional and structural unemployment rates, which is 3% in this case. Therefore, the answer is 3%.

The Natural Rate of Unemployment refers to the rate of unemployment that exists when the labor market is in equilibrium and there are no cyclical fluctuations in the economy.

It is the sum of the frictional and structural unemployment rates in an economy. In the given scenario, the country's natural rate of unemployment would be 3%, which is the sum of the frictional rate of 2% and the structural rate of 1%.

The cyclical rate of 5% indicates that the economy is currently experiencing a downturn or recession, which is characterized by a higher-than-normal unemployment rate. As the economy recovers, the cyclical rate of unemployment should decrease and eventually return to the natural rate of 3%.

Therefore, the Natural Rate of Unemployment in this country is 3%.

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Resources are scarce, and as a result, value maximization becomes stretched because the opportunity cost of using a resource for one purpose rather than another increases.

Scarcity refers to the limited availability of resources, which leads to a competition among individuals, businesses, and nations to acquire these resources. Due to scarcity, economic agents need to make choices about how to allocate resources efficiently, leading to the concept of value maximization. Value maximization is the process of optimizing the use of scarce resources to generate the greatest possible value, often measured in terms of profit, utility, or welfare. When resources become scarcer, it becomes increasingly difficult to achieve this goal, as more trade-offs and compromises need to be made.

As scarcity intensifies, the opportunity cost of using a resource for one purpose rather than another increases, forcing decision-makers to prioritize and make more careful choices. This stretching of value maximization can lead to tougher competition and innovation, as businesses and individuals seek new ways to make the most of their limited resources. However, it can also result in negative consequences, such as resource depletion and social inequity, if the focus is solely on short-term maximization rather than long-term sustainability and well-being.

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a) The yield to maturity is 9.09%. This is calculated by taking the present value of all the bond's future cash flows and subtracting the bond's current price.

b) The yield to call if the bonds are called in 5 years is 8.24%. This is calculated by taking the present value of the future cash flows up to the call date and subtracting the bond's current price.

c) Investors might expect to earn the yield to call, since the company has the option to call the bonds in 5 years, and the current call price is lower than the face value. If the company does not call the bonds, then the investors will earn the yield to maturity.

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Answer:

all of these are correct

Explanation:

the payment to the beneficiary is their's to determine its usage.

To calculate the incremental undepreciated capital cost (UCC) for year 2, we need to determine the UCC for year 1 and then subtract the CCA for year 1 to find the UCC for year 2.

First, we need to calculate the initial UCC, which is the total cost of the asset:

Total cost = Cost of horizontal resaw + Delivery and installation cost

Total cost = $375,000 + $10,000

Total cost = $385,000

Next, we need to calculate the CCA for year 1:

CCA for year 1 = Initial UCC x CCA rate

CCA for year 1 = $385,000 x 20%

CCA for year 1 = $77,000

Now we can calculate the UCC for year 1:

UCC for year 1 = Initial UCC - CCA for year 1

UCC for year 1 = $385,000 - $77,000

UCC for year 1 = $308,000

Finally, we can calculate the UCC for year 2:

UCC for year 2 = UCC for year 1 - CCA for year 2

UCC for year 2 = $308,000 - ($385,000 x 20%)

UCC for year 2 = $308,000 - $77,000

UCC for year 2 = $231,000

Therefore, the answer is (d) $192,500.

The four ways in which business-to-business (B2B) firms segment their markets are: Demographic segmentation, Geographic segmentation, Industry segmentation, and Behavioral segmentation.

1. Demographic segmentation: B2B firms segment their markets based on demographic factors such as company size, number of employees, and revenue. This helps them target specific businesses with products and services tailored to their size and financial capabilities.

2. Geographic segmentation: This involves dividing the market based on geographical locations, such as countries, regions, or cities. B2B firms use this strategy to offer customized solutions and services that cater to the unique needs and preferences of businesses in different locations.

3. Industry segmentation: B2B firms can also segment their markets by focusing on specific industries, such as healthcare, manufacturing, or technology. This helps them develop specialized products and services that cater to the unique requirements and challenges of businesses operating within these industries.

4. Behavioral segmentation: This type of segmentation focuses on the behavior of businesses, such as their purchasing patterns, decision-making processes, and loyalty to suppliers. B2B firms use this information to better understand their customers and offer solutions that meet their specific needs and preferences.

In summary, B2B firms segment their markets using demographic, geographic, industry, and behavioral segmentation strategies. This enables them to target specific businesses with tailored products and services, resulting in more effective marketing efforts and increased customer satisfaction.

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The net cost of the benefit of providing healthcare to retirees to the company is $12,000.

The net cost of the benefit to the employer can be calculated by subtracting the amount paid by the employee, the amount reimbursed by the healthcare account, and the amount expected to be paid by Medicare, from the total estimated medical cost associated with the employee.

Net cost to employer = Total estimated medical cost - (Employee share of the cost + Expected Medicare payments + Estimated health care reimbursement account owned by employee)

Net cost to employer = $20,000 - ($4,000 + $1,000 + $3,000)

Net cost to employer = $12,000

Therefore, the net cost of the benefit to the employer is $12,000.

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1. Stock A's beta is 1.00.

2. If Stock A's beta were 2.4, the new required rate of return for Stock A would be 16.4%.

The capital asset pricing model (CAPM) can be used to calculate Stock A's beta:

rA = rRF + betaA x (rM - rRF)

where:

rRF = risk-free rate

rM = market rate of return

rA = expected rate of return for Stock A

betaA = beta of Stock A

Plugging in the values given in the problem, we can solve for betaA:

11% = 6% + betaA x (10% - 6%)

betaA = 1.00

Therefore, Stock A's beta is 1.00.

Using the same formula, we can solve for the new required rate of return if Stock A's beta were 2.4:

rA = 6% + 2.4 x (10% - 6%)

rA = 16.4%

Therefore, if Stock A's beta were 2.4, the new required rate of return for Stock A would be 16.4%.

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Answer:

The equivalent annual annuity approach is one of two methods used in capital budgeting to compare mutually exclusive projects with unequal lives. The EAA approach calculates the constant annual cash flow generated by a project over its lifespan if it was an annuity.

The following statement that is true is when the sales price per unit decreases, the break-even point increases. The correct option is C.

The break-even point is the point where the total revenues equal the total costs, and the company is neither making a profit nor a loss. The break-even point can be calculated by dividing the fixed costs by the contribution margin per unit, which is the difference between the sales price per unit and the variable cost per unit.

When the sales price per unit decreases, the contribution margin per unit decreases as well. This means that each unit sold contributes less towards covering the fixed costs and reaching the break-even point. Therefore, to reach the break-even point, the company needs to sell more units than before the decrease in the sales price per unit, and the break-even point increases.

In contrast, when the sales price per unit increases, the contribution margin per unit also increases, and the company needs to sell fewer units to reach the break-even point.

Therefore, the other statements in the question are false. An increase in sales price per unit increases the contribution margin per unit, and it does not increase the number of units required to break even. When the sales price per unit increases, the contribution margin per unit also increases. So, the correct option is C.

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An increase in aggregate supply could be caused by C: a drop in energy costs from cheaper natural gas.

Aggregate supply refers to the total amount of goods and services produced in an economy at a given price level. Factors that can increase aggregate supply include improvements in technology, increased productivity, and lower input costs, such as energy costs.

In this scenario, cheaper natural gas leads to a drop in energy costs for businesses. When energy costs decrease, businesses can produce goods and services at a lower cost, which allows them to increase their overall production. As a result, the aggregate supply in the economy rises.

Options A (businesses paying more for health insurance for their workers) and B (an increase in oil prices) would actually decrease aggregate supply, as they lead to higher production costs for businesses. Option D (an increase in government purchases) impacts aggregate demand rather than aggregate supply, as it represents a change in the total spending on goods and services in the economy. Therefore, the correct option is C.

The question was incomplete, Find the full content below:

16. an increase in aggregate supply could be caused by: group of answer choices

A. businesses paying more for health insurance for their workers.

B. an increase in oil prices.

C. a drop in energy costs from cheaper natural gas.

D. an increase in government purchases.

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Cost-push inflation is a type of inflation that occurs when the overall price level increases due to an increase in production costs, such as resource prices like wages. The following statements are true of Cost-Push inflation:

1. Happens while real output decreases: When production costs rise, businesses may reduce their output, leading to a decrease in real output.

2. Caused by a decrease in the Aggregate Supply: As production costs increase, businesses may cut back on their production, causing a decrease in the aggregate supply.

3. Can be caused by an increase in resource prices like wages: Higher wages can lead to increased production costs, which can cause cost-push inflation.

4. Is considered Negative growth: Since cost-push inflation results in decreased real output, it can contribute to negative growth in the economy.

To summarize, cost-push inflation is an inflation type that arises due to increased production costs, such as wages. It leads to a decrease in real output and aggregate supply, contributing to negative growth in the economy. This type of inflation is not caused by changes in aggregate demand or people spending too much money.

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Costco's success with its retail chain can be attributed to its cost-based pricing strategy, which is effective due to the market conditions where differentiation is minimal and customers are highly sensitive to price (option D).

Costco's success can be attributed to their ability to keep prices low through a cost-based pricing strategy, which is effective in markets where customers are price-sensitive and there is minimal product differentiation. By keeping their markup at a maximum of 15%, they are able to generate profits while still offering lower prices than their competitors.

This pricing strategy appeals to customers who prioritize value and are willing to forgo additional features or services in exchange for lower prices. Additionally, by maintaining a limited selection of products and focusing on bulk sales, Costco is able to reduce costs and offer even lower prices to customers. This pricing strategy has helped Costco establish itself as a major player in the retail industry.

Option D holds true.

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The main answer is:

a. Canadian Tire's average monthly return is 1.13% with a standard deviation of 5.22%, while Apple's average monthly return is 2.32% with a standard deviation of 5.39%. The risk-return relationship between these two stocks does not hold as Apple has a higher average return and standard deviation than Canadian Tire.

b. The portfolio return and standard deviation were calculated for various weights in Canadian Tire and Apple, ranging from 0% to 100% in increments of 5%. A scatter plot graph was created with "Return" on the vertical axis and "Standard deviation" on the horizontal axis to show the relationship between risk and return for all possible portfolios. The weight of Canadian Tire in the portfolio that gives the minimum standard deviation was calculated and shown on the graph.

To answer part (a), the monthly holding period returns for Canadian Tire and Apple were calculated using the provided data in Excel. The average monthly return and standard deviation of returns were then calculated for each stock. The risk-return relationship (trade-off) between these two stocks was analyzed by comparing their average returns and standard deviations.

For part (b), the portfolio return and standard deviation were calculated for various weights in Canadian Tire and Apple using the formula for portfolio returns and standard deviations. These calculations were done for all possible weight combinations from 0% to 100% in increments of 5%. A scatter plot graph was created with the calculated portfolio returns on the vertical axis and the corresponding standard deviations on the horizontal axis. The graph shows the risk-return relationship for all possible portfolios between these two stocks.

To find the Canadian Tire's weight in the portfolio that gives the minimum standard deviation, the weight with the lowest standard deviation was identified, and the corresponding weight of Canadian Tire was noted. This weight was then shown on the scatter plot graph to illustrate the portfolio that gives the minimum standard deviation.

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The true statement is: "The common stockholders elect the board of directors and must approve major changes to corporate policies." The correct answer is B.

Common stockholders have the right to elect the board of directors and to vote on major changes to corporate policies, such as mergers or changes in the company's articles of incorporation. However, they do not have the right to approve every decision made by the corporation or to vote on every aspect of the company's operations.

Stockholder meetings are typically held once a year, but some corporations may hold additional meetings if necessary. Stockholders can vote in person or by proxy, but they must follow the procedures outlined in the company's bylaws and state laws to ensure that their vote is counted.

Option B holds true.

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The same company in the 20% tax bracket with interest expense of $100,000. The after tax cost of the interest expense would be option B. $80,000.

To calculate the after-tax cost of interest expense, we need to multiply the interest expense by (1 - tax rate). In this case, since the company is in the 20% tax bracket, the tax rate is 0.2. Therefore, the after-tax cost of the interest expense is:

$100,000 x (1 - 0.2) = $80,000

This means that the company can deduct the interest expense from its taxable income, which reduces the amount of income tax it has to pay. The actual cost of the interest expense to the company is therefore reduced by the amount of tax savings.

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A cell phone manufacturer wants to assemble a team to market a new cell phone across the country. A cross-functional group would be best for this purpose.

A cross-functional team consists of members with diverse skill sets, backgrounds, and expertise, all working together towards a common goal. In this case, the goal is to market a new cell phone across the country.

By assembling a cross-functional team, the cell phone manufacturer can ensure that all aspects of the marketing campaign are effectively addressed. The team can include members from various departments such as marketing, sales, product development, and customer support. This diversity enables the team to develop a comprehensive marketing strategy that takes into account the unique strengths and challenges of the product, as well as the preferences and needs of the target audience.

The team can leverage the expertise of each member to create a cohesive, well-rounded approach to marketing the new cell phone. For instance, product developers can provide insights into the device's features, while marketing professionals can develop effective promotional campaigns. Sales representatives can provide input on the best distribution channels and strategies, and customer support can help address potential concerns from users.

By collaborating across departments and sharing knowledge, the cross-functional team can create a synergistic effect that allows them to achieve their goal of successfully marketing the new cell phone across the country. This approach also helps to improve communication, enhance decision-making, and foster innovation within the organization.

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Firms that operate multiple businesses with different risk characteristics should use business-specific, or divisional costs of capital because "not all lines of business have equal risk and it is likely that the firm will accept projects whose returns are unacceptably low in relation to the risk involved". Option D is correct.

Using the same weighted average cost of capital for all divisions may result in too much money being allocated to the least risky division, and the firm might accept projects with returns that are not appropriate for the level of risk. By using divisional costs of capital, firms can better allocate resources and evaluate projects based on the specific risk characteristics of each business division.

Also, by using business-specific costs of capital, the firm can account for the different risk profiles of each division and ensure that the allocation of resources and acceptance of projects are aligned with their respective risk levels. This can lead to better decision-making and a more efficient use of the firm's resources.

Option D holds true.

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Samsung just paid an annual dividend of $3.2. The company has a required return of 10%.
Part 1:
Since dividends are expected to be constant, we can use the no-growth dividend discount model (also known as the dividend yield model) to find the value of the stock. The formula is:

P0 = D / R

Where P0 is the stock price, D is the dividend, and R is the required return.

In this case, D = $3.2 and R = 10% (0.1). Plugging the values into the formula:

P0 = $3.2 / 0.1 = $32.00

So the value of the stock when dividends are constant is $32.00.

Part 2:
Now that you believe dividends will grow by 4% from year to year, we need to use the Gordon growth model (also known as the dividend discount model with growth) to find the value of the stock. The formula is:

P0 = D1 / (R - g)

Where P0 is the stock price, D1 is the dividend in the next year, R is the required return, and g is the dividend growth rate.

First, we need to find D1. Since dividends are expected to grow at 4% (0.04) from the current dividend of $3.2:

D1 = $3.2 * (1 + 0.04) = $3.328

Now, we can plug the values into the Gordon growth model formula:

P0 = $3.328 / (0.1 - 0.04) = $3.328 / 0.06 = $55.47

So, when dividends are expected to grow by 4% from year to year, the value of the stock is $55.47.

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The value of P is : $717.35.

Number of years of the annuity due = 5 years

Total number of monthly annuity payments in 5 years = 5x12 =60Periodic annuity amount i.e. PMT =$120

Interest rate = 7.2% p.a. compounding monthly  

interest rate per month  = 7.2/12 = 0.60%

=PV(rate,nper,-pmt,fv,1)

=PV(0.0060,60,-120,0,1)

=$6067.64433692

The withdrawal which is made from year 12 to 31 has a worth of $6067.64433692 at the end of 31 years.

total number of withdrawals from year 12 to year 31 = 20

the effective interest rate earned on the account from where withdrawal is made i.e. rate = 6.9% p.a.

the periodical withdrawal amount has future value of $6067.64433692 hence FV =6067.64433692

Now to compute the periodical withdrawal amount we can use the pmt function of excel as follows:

=PMT(Rate,nper,pv,-fv)

=PMT(0.069,20,0,-6067.64433692)

=$149.63137229

the worth of initial deposit at the end of year 12 from where first withdrawal is made as follows:

=PV(rate,nper,-pmt,fv)

here rate = 6.9% p.a.

nper = 20 years ( from year 12 to year 31)

pmt as computed = 149.63137229

and future value =0 (

=PV(0.069,20,-149.63137229,0)

=$1597.59249591

the worth of deposit today by discounting the future value of it 12 years back as follows:

=PV(rate,nper,pmt,-fv)

=PV(0.069,12,0,-1597.59249591)    (PMT =0 ,no periodical withdrawal)

=$717.35

Hence P =$717.35

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