Mannix Corporation stock currently sells for $110 per share. The market requires a return of 9 percent on the firm's stock. If the company maintains a constant 4 percent growth rate in dividends, what was the most recent dividend per share paid on the stock?

Answers

Answer 1

The most recent dividend per share paid on the stock was $3.36.

We can use the constant growth model to solve for the most recent dividend per share paid on the stock. The formula for the constant growth model is:

D1 = D0 × (1 + g)

Where:

D1 = the dividend to be paid next year

D0 = the most recent dividend paid

g = the constant growth rate of dividends

We know that the market requires a return of 9 percent on the firm's stock, which means that the cost of equity (Ke) is 9%. We also know that the company maintains a constant 4 percent growth rate in dividends (g = 0.04).

Therefore, we can use the following formula to solve for D0:

D0 = D1 ÷ (1 + Ke - g)

Since we don't have the value of D1, we need to solve for it using the formula:

P0 = D1 ÷ (Ke - g)

Where:

P0 = the current stock price

We know that the current stock price is $110, Ke = 9%, and g = 4%. Plugging these values into the formula, we get:

$110 = D1 ÷ (0.09 - 0.04)

Solving for D1, we get:

D1 = $110 × (0.09 - 0.04) = $5.50

Now that we have D1, we can use the formula for D0 to solve for the most recent dividend per share paid on the stock:

D0 = $5.50 ÷ (1 + 0.09 - 0.04) = $3.36

Therefore, the most recent dividend per share was $3.36.

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Related Questions

Insuring While Away at College Kate's son, Hubert, is a college student ving in an off-campus apartment where he resides year round. He owns an expensive computer and wants to make sure the full value is insured. Which of the following statements regarding Hubert's Insurance needs are true? Check all that apply.a. Hubert should purchase an HC-2 broad form insurance polley because he is not covered under his parents' policy b. If he purchases an H0-4 polley, he can choose the value of the property he wishes to insure c. His computer is covered under his parents' policy Insuring a Condominium Kate's parents own a condominium that they fully insured for the replacement value of $120,000. Last year a portion of their roof collapsed due to the weight of snow after a severe storm. rendering the condo uninhabitable for the month that it took to complete repairs. Based on the coverago details of their condominium form ______ Insurance policy, the additional living expenses they incur as a result of the damage (such as the cost of staying in a hotel during the repairs)_____.

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a. Hubert should purchase an policy because he is not covered under his parents' policy.

c. His computer may not be covered under his parents' policy, so he should consider purchasing additional coverage through an policy.

do you believe the cost of equity you calculated is a reasonable measure of the risk in your high income country?

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Yes, I believe the cost of equity I calculated is a reasonable measure of the risk in my high income country.

This is because the cost of equity takes into account the potential return an investor can expect to receive for the risk they are taking on by investing in a particular company or market. In a high income country, there is typically lower overall risk as there is a stable economy, political stability and strong legal systems.

Therefore, the cost of equity calculated for a company in a high income country is likely to be lower than in a developing country where there is higher overall risk.

However, it is important to note that the cost of equity is just one measure of risk and other factors such as market volatility, interest rates, and global economic conditions can also impact the risk level of a particular investment.

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suppose a stock had an initial price of $35 per share, paid a dividend of $1.00 per share during the year, and had an ending share price of $48. compute the percentage return.

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A stock with an initial price of $35 per share, paid a dividend of $1.00 per share during the year the percentage return will be  40%.

To compute the percentage return for the stock, we need to calculate the total return, which includes both the price appreciation and the dividend received. The formula for total return is:

Total Return = (Ending Share Price - Beginning Share Price + Dividends) / Beginning Share Price

In this case, the beginning share price is $35, the ending share price is $48, and the dividend is $1.00 per share. Plugging these values into the formula, we get:

Total Return = ($48 - $35 + $1) / $35 = $14 / $35 = 0.4 or 40%

Therefore, the percentage return for the stock is 40%.

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the interstate commerce act outlawed group of answer choices none of these choices attempted to control business trusts. outlawed the restraint of trade between states. extended subsidies to railroads. unfair pricing activities on the part of railroads

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The Interstate Commerce Act  A. outlawed unfair pricing activities on the part of railroads.

This legislation was enacted in 1887 in response to growing public concerns about the monopolistic practices and discriminatory rates imposed by railroads on shippers. The Act aimed to ensure fair and transparent pricing by prohibiting practices such as rate discrimination and pooling arrangements. It also established the Interstate Commerce Commission (ICC) as a regulatory body to oversee compliance and enforce the provisions of the Act.

The Interstate Commerce Act marked a significant turning point in American business regulation, as it represented one of the first major attempts by the federal government to exert control over private corporations. However, it did not directly address issues related to business trusts (C) or restraint of trade between states (B), and it did not extend subsidies to railroads (D). So, Therefore the correct option is (A) outlawed unfair pricing activities on the part of railroads.

The Question was Incomplete, Find the full content below :

The Interstate Commerce Act

A) outlawed unfair pricing activities on the part of railroads

B) outlawed the restraint of trade between states

C) attempted to control business trusts

D) extended subsidies to railroads

E) none of the above

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Your broker charges $0.0029 per share per trade. The exchange charges $0.0173 per share per trade for removing liquidity and credits $0.0155 per share per trade for adding liquidity. The current best BID price for stock XYZ is $82.89 per share, while the current best ASK price is $82.90 per share. You post an order to buy XYZ at the current best BID price and wait. Shortly after, the best BID and ASK prices move lower (down) by one cent each. Your buy order is executed. Immediately, you post an order to sell XYZ at the new best BID price, and your sell order is executed. What will be your net loss per share to buy and sell XYZ after considering the commissions and any exchange fees or credits?

Answers

Your net loss per share to buy and sell XYZ, after considering the commissions and any exchange fees or credits, is -$0.0176.

To calculate your net loss per share, let's consider the commissions and exchange fees or credits.


1. Buying XYZ:
- Execution price: $82.89 per share
- Broker commission: $0.0029 per share
- Exchange fee (adding liquidity): -$0.0155 per share (credit)


2. Selling XYZ:
- Execution price: $82.88 per share (since prices moved down by one cent)
- Broker commission: $0.0029 per share
- Exchange fee (removing liquidity): $0.0173 per share


Now, let's calculate the net loss per share:


Net loss per share = (Execution price of sell - Execution price of buy) - (Total commissions and exchange fees)


Net loss per share = ($82.88 - $82.89) - [($0.0029 + $0.0029) + ($0.0173 - $0.0155)]
Net loss per share = -$0.01 - ($0.0058 + $0.0018)
Net loss per share = -$0.01 - $0.0076


Your net loss per share to buy and sell XYZ, after considering the commissions and any exchange fees or credits, is -$0.0176.

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what is your effective annual yield in percentages on the mortgage with no points? info copied below you have just bought a new house for $360,000 and are taking out a mortgage for $288,000. your mortgage broker offers you a 30-year fixed-rate mortgage at 6% with no points.

Answers

The effective annual yield on the mortgage with no points is 6%.

To calculate the effective annual yield, we need to consider the interest rate, the number of compounding periods per year, and any fees associated with the mortgage. In this case, there are no points, which are fees paid at closing to lower the interest rate, so we only need to consider the interest rate and compounding periods.

The mortgage has a fixed interest rate of 6%, which means that the interest rate will not change over the 30-year term of the loan. The compounding periods are not specified, but assuming monthly compounding, we can calculate the effective annual yield using the formula:

Effective annual yield = (1 + (interest rate / compounding periods))^compounding periods - 1

Plugging in the numbers, we get:

Effective annual yield = (1 + (0.06 / 12))^12 - 1

Effective annual yield = 6.17%

As a result, the effective yearly return on the no-point mortgage is 6.17%. The real return, however, will be the same as the interest rate, which is 6%, because the interest rate is set and there are no costs.

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a stock is currently priced at $69 and has an annual standard deviation of 49 percent. the dividend yield of the stock is 2.6 percent and the risk-free rate is 4.6 percent. what is the value of a call option on the stock with a strike price of $66 and 73 days to expiration? (use 365 days in a year. do not round intermediate calculations. round your answer to 2 decimal places.)

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To calculate the value of a call option on a stock, we need to use an options pricing model, such as the Black-Scholes model. the value of the call option on the stock with a strike price of $66 and 73 days to expiration is $13.61.

This model takes into account several variables, including the current stock price, strike price, time to expiration, risk-free rate, and volatility. In this case, we are given the current stock price of $69, a standard deviation of 49%, a dividend yield of 2.6%, a risk-free rate of 4.6%, and a strike price of $66 with 73 days to expiration.

Using the Black-Scholes model, we can calculate the value of the call option as follows:[tex]d1 = [ln(S/K) + (r + σ^2/2)t] / (σ√t)[/tex]

[tex]d2 = d1 - σ√t[/tex]

where S is the stock price, K is the strike price, r is the risk-free rate, σ is the standard deviation (annualized), t is the time to expiration (in years), ln is the natural logarithm, and √ is the square root.

First, we need to convert the time to expiration from days to years by dividing by 365: t = 73 / 365 = 0.2

Next, we can calculate d1 and d2:

d1 = [tex][ln(69/66) + (0.046 + 0.49^2/2) * 0.2] / (0.49 * √0.2)[/tex] = 0.6743

d2 = 0.6743 - 0.49 * √0.2 = 0.3634

Using these values, we can calculate the value of the call option as:

C = [tex]S * N(d1) - K * e^(-rt) * N(d2)[/tex]

where N is the cumulative distribution function of the standard normal distribution.

Plugging in the values, we get:

C = [tex]69 * N(0.6743) - 66 * e^(-0.046 * 0.2) * N(0.3634)[/tex]

= 13.61

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TII Question 10 of 10 -/3 View Policies Current Attempt in Progress Pharoah Manufacturing Company has been growing at a rate of 9 percent for the past two years, and the CEO expects the company to continue to grow at this rate for the next several years. The company paid a dividend of $1.50 this year. If your required rate of return is 12 percent, what is the maximum price that you would be willing to pay for this company's stock? (Round intermediate calculation and final answer to 2 decimal places, es 15.25.)

Answers

As a manufacturing company, Pharoah Manufacturing Company is expected to continue to grow at a rate of 9 percent for the next few years, which is good news for potential investors.

However, investors need to determine the maximum price they would be willing to pay for the company's stock based on their required rate of return, which in this case is 12 percent.

To calculate the maximum price, we can use the dividend discount model, which calculates the present value of future dividends. We can use the formula:

Maximum Price = Dividend / (Required Rate of Return - Growth Rate)

In this case, the dividend is $1.50, the required rate of return is 12 percent, and the growth rate is 9 percent.

Maximum Price = $1.50 / (0.12 - 0.09) = $50

Therefore, the maximum price that an investor would be willing to pay for Pharoah Manufacturing Company's stock is $50.

It is important to note that this calculation is based on the assumption that the company will continue to grow at a rate of 9 percent for the foreseeable future. Investors should also consider other factors such as the company's financial health, competition, and market trends before making any investment decisions.

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according to john kotter, leadership a. produces useful change in organizations. b. controls organizational and environmental complexity. c. both agitates for change and advocates stability. d. cannot be distinguished from management.

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According to John Kotter, leadership A. produces a useful change in organizations.

As a renowned expert in organizational change and leadership, Kotter emphasizes the importance of effective leadership in driving transformation and adapting to dynamic environments. Leaders have the vision and ability to inspire, motivate, and guide their teams to achieve desired outcomes. They identify the need for change, set the direction, and work collaboratively with others to bring about meaningful, positive results.

In summary, according to John Kotter, leadership is primarily responsible for producing a useful change in organizations. It plays a crucial role in identifying, initiating, and facilitating transformation. In contrast, management is responsible for controlling complexity and ensuring stability in daily operations. Both leadership and management contribute to the overall success and sustainability of an organization. Therefore the correct option is A

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for 2019, Goodwater company reported 2.74 of earnings per shareof common stock. During 2020, the firm had a 5% common stockdividend. The 2019 earnings per share to be reported in the annualreport o f 2020A. 1.70B. 2.61C. 1.90D. 1.82

Answers

The 2019 earnings per share to be reported in the 2020 annual report is 2.61. Therefore, the correct option is B.

To find the adjusted 2019 earnings per share to be reported in the annual report of 2020, we need to consider the impact of the 5% common stock dividend on the 2019 earnings per share.

In order to calculate the 2019 earnings per share, follow these steps:

1. Determine the 2019 earnings per share: 2.74

2. Calculate the impact of the 5% common stock dividend: 2.74 * 0.05 = 0.137

3. Subtract the impact of the dividend from the original earnings per share: 2.74 - 0.137 = 2.603

Therefore, The 2019 earnings per share to be reported in the annual report of 2020 is approximately 2.61 which corresponds to the option B.

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You have a bond with a coupon rate of 8% and a market rate ofreturn of 10%, is the bond selling at a discount, premium, orpar?

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The coupon rate (8%) is less than the market rate (10%), so the bond is selling at a discount.

Is the bond selling at a discount, premium, orpar?

You have a bond with a coupon rate of 8% and a market rate of return of 10%. To determine if the bond is selling at a discount, premium, or par, we'll compare the coupon rate and the market rate.

Compare the coupon rate and market rate
- Coupon rate: 8%
- Market rate: 10%

Determine the bond's selling status
- If the coupon rate is less than the market rate, the bond sells at a discount.
- If the coupon rate is equal to the market rate, the bond sells at par.
- If the coupon rate is greater than the market rate, the bond sells at a premium.

In this case, the coupon rate (8%) is less than the market rate (10%), so the bond is selling at a discount.

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a decision maker using the maximin criterion would be considered to be avoiding risk.T/F

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True. The maximin criterion is a decision-making strategy that selects the option with the highest minimum payoff, minimizing the potential for negative outcomes.

A decision-maker who applies the maximin criteria is seen as risk-averse. This is so that the possibility of unfavourable outcomes is reduced by the maximin criterion's emphasis on choosing the option with the largest minimum payout.

In essence, the decision-maker wants to prevent the worst-case situation from happening and is prepared to give up possible benefits in exchange for security. As opposed to this, a risk-seeking decision-maker may be more inclined to accept bigger risks in the search for prospective benefits.

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True. a decision maker using the maximin criterion would be considered to be avoiding risk.

When adopting the maximin criterion, a decision-maker is said to be avoiding risk. The maximin criterion calls for selecting the alternative that maximizes the least likely result. In other words, the decision-maker considers the worst-case scenario and chooses the course of action that offers the greatest reward. This strategy is frequently applied when the decision-maker is risk-averse and seeks to reduce the possibility of loss. The decision-maker essentially avoids risk and prioritizes the stability of the outcome by choosing the choice that offers the biggest return in the worst-case scenario. Although this strategy can be useful in minimizing potential losses, it may also limit potential rewards and not necessarily result in the best choice.

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when developing software or any sort of product or service, there exists a tension between time, quality, and cost. this is referred to as the .

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When developing software or any sort of product or service, there exists a tension between time, quality, and cost. This is referred to as the "triple constraint" or the "project management triangle."

It is a fundamental principle in project management that these three elements are interrelated, and that any changes to one will affect the other two. For example, if you want to reduce the development time, you may need to increase the cost or sacrifice some of the quality. Similarly, if you want to improve the quality, it may take more time and cost more money. It is important for project managers to carefully balance these three factors in order to deliver a successful product or service.

Software is a set of instructions, data or programs used to operate computers and execute specific tasks. It is the opposite of hardware, which describes the physical aspects of a computer. Software is a generic term used to refer to applications, scripts and programs that run on a device.

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what is the difference between cash flow rights and control rights
. Explain these two rights in the context of debt verdus equity,
common equity versus perferred equity, and dual class shares.

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cash flow rights and control rights are key distinctions between different types of financing and share classes. Debt provides cash flow rights but not control rights, while equity offers both. Common equity has more balanced cash flow and control rights compared to preferred equity and dual-class shares, where control rights may be limited or separated from cash flow rights.

The difference between cash flow rights and control rights, and how they apply to various types of financing.

Cash flow rights refer to the rights of investors to receive cash distributions from the company, such as dividends or liquidation proceeds. Control rights refer to the rights of investors to influence the management and decision-making processes within the company, typically through voting rights associated with shares.

Debt versus Equity:
1. In debt financing, lenders have cash flow rights to receive interest payments and principal repayments, but they generally do not have control rights, as they cannot vote on company matters.
2. In equity financing, shareholders have both cash flow rights (dividends) and control rights (voting rights) proportionate to their ownership stake in the company.

Common Equity versus Preferred Equity:
1. Common equity holders have both cash flow rights and control rights. They receive dividends and have voting rights in proportion to their ownership.
2. Preferred equity holders have a higher claim on cash flow rights compared to common equity holders, such as receiving dividends before common shareholders. However, their control rights are usually limited or nonexistent, as they often do not have voting rights.

Dual-Class Shares:
Dual-class shares refer to a company issuing multiple share classes with different levels of control rights.
1. Class A shares typically have more voting rights, providing the holder with greater control rights in the company.
2. Class B shares usually have fewer voting rights or no voting rights at all, resulting in limited control rights for the holder.

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Country A has a 90/10 ratio of 15.7(1990) and 12.42(2000) and a
50/10 ratio of 6.43(1990) and 5.09(2000)
Explain.

Answers

Based on the information provided, it seems like we have two different ratios for Country A in the years 1990 and 2000. Let's break down the data for a clearer understanding:

1. 90/10 Ratio:
- 1990: 15.7
- 2000: 12.42

2. 50/10 Ratio:
- 1990: 6.43
- 2000: 5.09

Now let's explain the data:

For the 90/10 ratio, in 1990, Country A had a value of 15.7, which means that for every 90 units of a certain factor (e.g. income, resources, etc.), there were 10 units of another factor. By 2000, this ratio decreased to 12.42, indicating that there was a reduction in the disparity between the two factors represented by the ratio.

For the 50/10 ratio, in 1990, Country A had a value of 6.43, which means that for every 50 units of a certain factor, there were 10 units of another factor. By 2000, this ratio decreased to 5.09, again showing a reduction in the disparity between the two factors represented by the ratio.

In conclusion, both the 90/10 and 50/10 ratios show a decrease from 1990 to 2000, indicating a reduction in the disparity between the factors represented by these ratios in Country A.

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when considering perfect competition the absence of entry barriers implies that part 2 a. no firm can enter the industry. b. firms can enter but cannot get out of the industry easily. c. all firms will earn economic profit. d. firms can enter and leave the industry without serious impediments.

Answers

In the context of perfect competition and considering the absence of entry barriers, the correct answer is option D: firms can enter and leave the industry without serious impediments.

Perfect competition is an economic model where numerous small firms produce homogeneous products, and no single firm has the power to influence the market price. Entry and exit barriers are factors that restrict the ability of firms to enter or exit an industry. When there are no entry barriers, new firms can easily join the market, and existing firms can leave the industry without facing major challenges. The absence of entry barriers promotes competition, as it encourages new firms to enter the market and compete with existing firms. This ultimately results in an efficient allocation of resources and a balance between supply and demand.

As a consequence, firms in perfect competition will not earn long-term economic profit, as any profits would attract new competitors, driving down prices and reducing profit margins. In summary, perfect competition without entry barriers allows firms to enter and exit the industry freely, fostering a competitive environment that benefits both consumers and businesses in terms of efficiency and resource allocation.

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which broad economic goal is related to the extent to which the people in a society can provide for their own well-being even during a crisis? efficiency freedom growth security

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The broad economic goal that is related to the extent to which the people in a society can provide for their own well-being even during a crisis is security.

Economic security refers to the ability of individuals, households, and societies to withstand economic shocks, such as job loss, illness, or natural disasters, without experiencing significant declines in their standard of living.

It is closely related to the concept of resilience, which refers to the ability of a system to recover from shocks and maintain its functionality. Efficiency, freedom, growth, and security are all important economic goals, but they have different focuses.

Efficiency is concerned with using resources in the most productive way possible, freedom is concerned with ensuring individuals have the ability to make choices without undue interference, growth is concerned with increasing the size of the economy and the standard of living, and security is concerned with providing a safety net for individuals and households to ensure their basic needs are met, even in times of crisis.

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if the average cost per coffee is $3 , will firms exit or enter the coffee market? c. what is the average cost per coffee in the long run?

Answers

This impact the number of firms in the market, in a way if input costs increase and the market price does not increase in response, firms may exit the market. If input costs decrease, the average cost may decrease, potentially attracting new firms to enter the market.

Changes in input costs can have a significant impact on the long-run average cost per coffee in a perfectly competitive market. For example, an increase in the cost of coffee beans, labor, or rent can increase the average cost of producing coffee.

If the market price of coffee does not increase in response to the increase in input costs, firms may find it difficult to cover their costs, and some may exit the market.

On the other hand, if input costs decrease, the average cost of producing coffee may decrease, allowing firms to earn higher profits and potentially attracting new firms to enter the market.

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The complete question is :

How do changes in input costs affect the long-run average cost per coffee in a perfectly competitive market, and how does this impact the number of firms in the market?

Aerocomp is in the business of computing and computers. They have made decent money in the recent past. John Christer, CEO of Aerocomp has informed the Board of Directors of Aerocomp that the company has extra cash of about $2.5 million. John has suggested that it is time for the company to diversify its growth potential into multiple areas beyond computing. Mark Zuber, the executive assistant to the CEO of Aerocomp, has proposed three alternative investments which are described as under:
Investment 1: A number of windmills are to be constructed on the southern frontier to generate electricity. They will cost a total of $400,000 and will last 10 years, at which time they will have an estimated salvage value of $25,000. However, a capital upgrade of $100,000 will be required at the end of five years. An inventory of parts (working capital) amounting to $10,000 will be required during the term of the venture and will be housed in a warehouse that is currently not being used, but which has been used for Aerocomp’s previous ventures. The inventory of parts will not be depleted during the term of the project. The warehouse could be rented out at $5,000 per year.

Answers

Aerocomp is in the business of computing and computers. They have made decent money in the recent past. John Christer, CEO of Aerocomp has informed the Board of Directors of Aerocomp that the company has extra cash of about $2.5 million.

John has suggested that it is time for the company to diversify its growth potential into multiple areas beyond computing. Mark Zuber, the executive assistant to the CEO of Aerocomp, has proposed three alternative investments which are described as under:

Investment 1: A number of windmills are to be constructed on the southern frontier to generate electricity. They will cost a total of $400,000 and will last 10 years, at which time they will have an estimated salvage value of $25,000.

However, a capital upgrade of $100,000 will be required at the end of five years. An inventory of parts (working capital) amounting to $10,000 will be required during the term of the venture and will be housed in a warehouse that is currently not being used, but which has been used for Aerocomp’s previous ventures.

The inventory of parts will not be depleted during the term of the project. The warehouse could be rented out at $5,000 per year.

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Your employer asks you to run some errands. The reimbursement rate is $0.54 per mile. You drive 6.5 miles. How much will the reimbursement be?
$8.31
$4.57
$3.51
$12.04

Answers

If your employer asks you to run some errands, you may be eligible for reimbursement for the expenses incurred during your work. In this case, your employer has stated that the reimbursement rate is $0.54 per mile. You have driven a total of 6.5 miles while running these errands.

To calculate the reimbursement amount, you simply need to multiply the mileage you drove by the reimbursement rate. Therefore, $0.54 x 6.5 = $3.51. This means that your reimbursement amount for driving 6.5 miles will be $3.51.

It is important to note that not all employers will offer mileage reimbursement or may have different reimbursement rates. It is always a good idea to check with your employer's policy on reimbursement rates and procedures.

If your employer offers reimbursement for mileage, be sure to keep track of the miles you drive for work-related purposes, including running errands, as this can add up over time.

In conclusion, in this scenario, your reimbursement for driving 6.5 miles for work-related errands will be $3.51 at a reimbursement rate of $0.54 per mile.

As an employee, it is always important to keep track of the miles you drive for work and to know your employer's reimbursement policy to ensure you receive the correct amount of reimbursement for any work-related expenses incurred.

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Beaver, a city in the United States, is attempting to attract a professional soccer team. Beaver is planning to build a new stadium that will cost $250 million. Annual upkeep is expected to amount to $800,000. The turf will have to be re- placed every 10 years at a cost of $950,000. Painting every 5 years will cost $75,000. If the city expects to maintain the facility indefinitely, what is the estimated capitalized cost at i = 8% per year?

Answers

The price per share for the following year would be $32 given that the stock is anticipated to have an ongoing dividend payment price per share and the cost of capital for the company.

When a stock, like the one described, has an indefinite payout, the price can be calculated by dividing the indefinite payment per share by the cost of capital.

10% interest rate, or 0.10. Base cost present value is equal to $500 million, or $500,000,000.

$1,000,000/r

= $1,000,000 / 0.10

= $10,000,000 is the present value of annual maintenance.

Artificial turf replacement cost present value is calculated as ($2,000,000 * (r / (1 + r)20) - 1) /r

= ($2,000,000 (0:10 / (1 + 0.10)20)-1) / 0.10

= $349,192.50

($250,000* (r/ (1+ r5)-1)/

r= ($250,000* (0.10 / (1+ 0.105)-1) / 0:10)

= $409,493.70 Present value of the painting

As a result, we have: Capitalised cost equals the present value of the base cost less the present value of annual maintenance. Artificial turf replacement costs in present value every 20 years and painting costs in present value every 5 years come to: $500,000,000, $10,000,000, $349,192.50, $409,493.70, or $510,758,686.20.

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a company trades its old computer, which cost $5,000 and has accumulated depreciation at the transaction date of $3,000, for a new computer that costs $7,000. the trade-in allowance on the old computer is $1,200. what is the gain or loss, if any, on the trade-in of the old computer?

Answers

The company has a loss of $800 on the trade-in of the old computer. Therefore, the correct answer is option B. Loss of $2,800.

Calculating gain/loss on the trade-in of the old computer:

Calculate the book value of the old computer at the transaction date:

Book value of old computer = Cost of old computer - Accumulated depreciation

                                               = $5,000 - $3,000

                                               = $2,000

Calculate the gain or loss on the trade-in of the old computer:

Gain/Loss on trade-in = Trade-in allowance - Book value of old computer

                                    = $1,200 - $2,000

                                    = -$800

Therefore, the company has a loss of $800 on the trade-in of the old computer.

Complete Question:

A company  trades its old computer, which cost $5,000 and has accumulated depreciation at the transaction date of $3,000, for a new computer that costs $7,000. The trade-in allowance on the old computer is $1,200. What is the gain or loss, if any, on the trade-in of the old computer?

A. Gain of $2,800

B. Loss of $2,800

C. Gain of $800

D. Loss of $800

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pr efforts on behalf of charities, relief groups, or other organizations serving publics in need are called select one: a. do-good pr. b. cause marketing. c. viral pr. d. lobbying.

Answers

The correct answer is b. Cause marketing.

Cause marketing is a public relations effort that focuses on marketing a product, service, or brand in a way that benefits a charitable cause. The public relations effort helps to increase awareness of the charity's mission and help to build relationships between the charity and the company.

It can also increase sales for the company and help to raise the profile of the charity. Cause marketing typically involves a company making a donation to the charity, or offering some other type of promotional benefit such as discounted prices or special offers. A company may also use cause-related marketing as a way to show its commitment to social issues, such as by supporting a cause that is important to its target audience.

Cause marketing can be a powerful tool for companies to use in order to demonstrate their commitment to social responsibility while also building relationships with customers and other stakeholders.

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1. [Short-Run Production] Suppose that a firm is producing in the short run with output given by: Q=100L-2L2 The firm hires labor at a wage of $20 per hour and sells the good in a competitive market at P = $5 per unit. Find the firm's optimal use of labor and associated level of output.

Answers

The firm's optimal use of labor is 25 units, resulting in an associated level of output of 1,875 units.

To find the optimal use of labor, we need to use the marginal product of labor (MPL) and marginal revenue product of labor (MRP) approach. MPL is the additional output produced by hiring one more unit of labor, while MRP is the additional revenue generated by hiring one more unit of labor.

MPL is calculated by taking the derivative of the production function with respect to labor: MPL = dQ/dL = 100 - 4L.

MRP is calculated by multiplying the marginal product of labor by the price of the good: MRP = MPL x P = (100 - 4L) x $5.

The firm's optimal use of labor is where MRP equals the wage rate: MRP = $20. Setting the two equations equal to each other and solving for L, we get L = 25.

Substituting the optimal labor input into the production function, we get Q = 100(25) - 2(25)2 = 1,875.

Therefore, the firm's optimal use of labor is 25 units, resulting in an associated level of output of 1,875 units.

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Aukey Inc. pays a dividend of $1.50 on its common stock every quarter. The next dividend is expected exactly one quarter from now. If the required rate return on Aukey’s common stock is 12%, compounded quarterly (r4=12%), what is the intrinsic value of one share?

Answers

The intrinsic value of one share of Aukey Inc., we can use the dividend discount model formula:

Intrinsic Value = (Dividend / (Required Rate of Return - Dividend Growth Rate))

Since Aukey Inc. pays a dividend of $1.50 every quarter, we can calculate the annual dividend as follows:

Annual Dividend = $1.50 x 4 = $6.00

We can assume that the dividend growth rate is constant at 0%, since the problem does not provide any information on changes in the dividend.

Therefore, the intrinsic value of one share of Aukey Inc. can be calculated as:

Intrinsic Value = ($6.00 / (0.12/4 - 0%)) = ($6.00 / (0.03)) = $200

This means that the intrinsic value of one share of Aukey Inc. is $200, assuming a required rate of return of 12%, compounded quarterly, and a constant dividend growth rate of 0%. If the current market price of one share is lower than $200, it may be considered undervalued and a good investment opportunity.

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An investor has two bonds in her portfolio, Bond C and Bond Z. Each bond matures in 4 years, has a face value of $1,000, and has a yield to maturity of 8.2%. Bond C pays a 11.5% annual coupon, while Bond Z is a zero coupon bond.
a.Assuming that the yield to maturity of each bond remains at 8.2% over the next 4 years, calculate the price of the bonds at each of the following years to maturity. Round your answer to the nearest cent.
Years to Maturity Price of Bond C Price of Bond Z
4 $ $
3 $ $
2 $ $
1 $ $
0 $ $

Answers

Price of Bond C:

4 years to maturity: $1,194.87

3 years to maturity: $1,145.47

2 years to maturity: $1,097.63

1 year to maturity: $1,051.32

0 years to maturity: $1,000.00

Price of Bond Z:

4 years to maturity: $820.08

3 years to maturity: $675.56

2 years to maturity: $552.28

1 year to maturity: $447.63

0 years to maturity: $367.47

The price of a bond is determined by the present value of its future cash flows, which is calculated using the bond's yield to maturity. For Bond C, the annual coupon payments of $115 ($1,000 x 11.5%) are discounted.

Using the yield to maturity of 8.2% and the face value of $1,000 is discounted using the same yield to maturity. For Bond Z, only the face value of $1,000 is discounted using the yield to maturity.

As the years to maturity decrease, the present value of the cash flows increase, resulting in an increase in the price of the bond. This is because the bondholder will receive the cash flows sooner, reducing the uncertainty of the bond's future cash flows.

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Use two methods including formula and various Excel functions to solve the following problem:
Calculate the duration for a $1000, 4-year bond with a 6% annual coupon, currently selling at par. Use the duration to estimate the percentage change in the bond’s price for a decrease in the market interest rate to 4%. Use the bond price volatility equation to compute the bond price volatility. Compare the result with the estimated percentage change in the bond price.

Answers

Bond Price Volatility is $73.51.

Duration can be calculated using the following formula:

Duration = (PV of Cash Flows × Time) / Bond Price

where,

PV of Cash Flows = Present Value of all Cash Flows

Time = Time to receipt of Cash Flows in years

The cash flows for this bond would be:

Year 1: $60 coupon

Year 2: $60 coupon

Year 3: $60 coupon

Year 4: $1060 (coupon plus principal)

The present value of these cash flows can be calculated using the present value formula:

[tex]PV = CF / (1+r)^n[/tex]

where,

CF = Cash Flow

r = discount rate

n = time to receipt of cash flow

For this bond, assuming a discount rate of 6%, the present value of cash flows would be:

[tex]PV of Year 1 coupon = $60 / (1+0.06)^1 = $56.60\\PV of Year 2 coupon = $60 / (1+0.06)^2 = $53.50\\PV of Year 3 coupon = $60 / (1+0.06)^3 = $50.47\\PV of Year 4 coupon and principal = $1060 / (1+0.06)^4 = $820.11[/tex]

Therefore, the PV of Cash Flows = $980.68

The Time to receipt of Cash Flows = 1, 2, 3, and 4 years

Using the formula above, we can calculate the duration:

Duration = ($980.68 × 1 + $980.68 × 2 + $980.68 × 3 + $980.68 × 4) / $1000

Duration = 3.827 years

To estimate the percentage change in the bond’s price for a decrease in the market interest rate to 4%, we can use the following formula:

% Change in Bond Price = - Duration × Change in Yield

where,

Change in Yield = New Yield - Old Yield

In this case, the change in yield would be 6% - 4% = 2%.

% Change in Bond Price = - 3.827 × 2% = -7.654%

Therefore, the estimated percentage change in the bond price would be a decrease of 7.654%.

To compute the bond price volatility using the bond price volatility equation, we can use the following formula:

Bond Price Volatility = Duration × Bond Price × (Change in Yield / (1 + Yield))

In this case, assuming a yield of 6%, the bond price volatility would be:

Bond Price Volatility = 3.827 × $1000 × (2% / (1 + 6%)) = $73.51

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which of the following statements applies to the discount rate? the federal funds rate is the same as this rate. this rate is charged to depositors who are unable to meet their reserve requirement. the fed does not directly control this rate. this rate is used when banks borrow directly from the fed.

Answers

The discount rate is the interest rate that the Fed charges commercial banks when they borrow directly from the Fed's discount window. It is a tool used by the Fed to provide liquidity to the banking system, and its level influences borrowing and lending decisions by banks. The federal funds rate is not the same as the discount rate, and the Fed does not directly control the discount rate.

The discount rate is the interest rate that the Federal Reserve charges commercial banks to borrow funds from the Fed's discount window. The primary purpose of the discount rate is to provide liquidity to the banking system. When banks face a shortage of funds, they can borrow from the Fed's discount window to meet their reserve requirements and continue their lending operations.

Out of the given statements, the statement that applies to the discount rate is this rate is used when banks borrow directly from the Fed.This is because the discount rate is the interest rate charged by the Fed to commercial banks when they borrow directly from the Fed's discount window.

The federal funds rate, on the other hand, is the interest rate that banks charge each other for overnight loans of their excess reserves. This rate is not the same as the discount rate, as stated in one of the given statements. The Fed sets the federal funds rate through its open market operations, where it buys and sells government securities to influence the supply of reserves in the banking system.

Another statement that is not applicable to the discount rate is ""this rate is charged to depositors who are unable to meet their reserve requirement."" This statement describes the penalty rate that the Fed charges banks for failing to maintain the required level of reserves. The penalty rate is higher than the discount rate and is meant to encourage banks to maintain adequate reserves to meet their obligations.

Lastly, the Fed does not directly control the discount rate, but it does influence it through changes in its monetary policy. When the Fed wants to stimulate economic activity, it can lower the discount rate to encourage borrowing and lending by commercial banks. Conversely, when the Fed wants to slow down the economy, it can increase the discount rate, making it more expensive for banks to borrow from the Fed and reducing the money supply.

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A company issues bonds with a par value of $1,000 and a maturity of 10 years. The bonds pay interest based upon an annual fixed coupon rate of 6%. Eight years pass since the issuance date and the going rate in the market for similar bonds is 8%. What price should an investor be willing to pay for one bond eight years after the issuance date?

Answers

Okay, here are the steps to solve this problem:

1) The par value of the bond is $1,000. This is the face value that will be paid at maturity.

2) The coupon rate is 6% per year. Since the bonds mature in 10 years, the total coupon payment over the life of the bond will be 6% * $1,000 * 10 = $600.

3) 8 years have already passed. So there are 2 years left until maturity. The remaining coupon payments will be $600 * 2/10 = $120.

4) The current market rate for similar bonds is 8%. So the required return for a new bond is 8%. We want to know the price that will generate an 8% yield over the last 2 years.

5) Calculate the future value of $120 received in 2 years at an 8% rate. This comes out to be $120 * (1.08)^2 = $129.63.

6) To generate $129.63 in 2 years with $1,000 par value at maturity, we need a price of $770. This ensures an 8% yield over the last 2 years of the bond.

So in summary, an investor should be willing to pay about $770 for one bond eight years after issuance to get an 8% yield over the remaining two years until maturity. Let me know if you have any other questions!

4) For mutual funds, a Balanced Growth and Income Fund contain both growth stocks and stocks that pay high dividends. This type of fund__________________________________________.
a) focuses on firms that pay a high level of dividends with less focus on growth.
b) distributes dividends periodically, while offering more potential for an increase in the fund’s value.
c) focuses on firms that are more established than small-cap firms but may have less growth potential.
d) focuses on stocks that have potential for above-average growth.
e) attempts to mirror the movements of an existing equity index.

Answers

For mutual funds, a Balanced Growth and Income Fund contain both growth stocks and stocks that pay high dividends. This type of fund b) distributes dividends periodically, while offering more potential for an increase in the fund’s value.

Balanced Growth and Income Funds typically invest in large-cap stocks that are more established than small-cap firms but still have some growth potential. These funds may also invest in bonds or other fixed-income securities to further diversify the portfolio and reduce risk.

The main advantage of a Balanced Growth and Income Fund is that it offers investors both growth potential and regular income. The fund distributes dividends periodically, which can provide a steady stream of income for investors. At the same time, the fund also offers potential for an increase in the fund's value through investments in growth stocks.

Overall, a Balanced Growth and Income Fund can be a good option for investors who want a balanced portfolio of growth and income investments. However, it's important to carefully consider the fund's investment objectives, fees, and historical performance before investing.

Therefore, the correct answer is b) distributes dividends periodically, while offering more potential for an increase in the fund’s value.

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