Acort Industries owns assets that will have a(n) 70% probability of having a market value of $45 million in one year. There is a 30% chance that the assets will be worth only $15 million. The current risk-free rate is 6%, and Acort's assets have a cost of capital of 12%.
a. If Acort is unlevered, what is the current market value of its equity?
b. Suppose instead that Acort has debt with a face value of $12 million due in one year. According to MM, what is the value of Acort's equity in this case?
c. What is the expected return of Acort's equity without leverage? What is the expected return of Acort's equity with leverage?
d. What is the lowest possible realized return of Acort's equity with and without leverage?
a. If Acort is unlevered, what is the current market value of its equity?
The current market value of the unlevered equity is $
million. (Round to three decimal places.)

Answers

Answer 1

The current market value of its unlevered equity is $30.8 million. The value of Acort's equity in this case according to MM is $20.1 million. The expected return of Acort's equity with leverage is 10.95652174%. The lowest possible realized return with leverage is = 6%.

a. Current market value of its equity without leverage: Market value of the asset is = $45 million × 70% + $15 million × 30% = $34.5 million. cost of capital is = 12%Then, the Current market value of its equity without leverage = $34.5 million ÷ (1 + 12%) = $30.8 millionTherefore, the current market value of its unlevered equity is $30.8 million. (Rounded to three decimal places.)

b. Value of Acort's equity in this case according to MM: With debt, the market value of Acort's equity is = $45 million × 70% + $15 million × 30% − $12 million = $22.5 million. Cost of capital is = 12%Then, the Value of Acort's equity in this case according to MM is= $22.5 million ÷ (1 + 12%) = $20.1 millionTherefore, the value of Acort's equity in this case according to MM is $20.1 million. (Rounded to three decimal places.)

c. Expected return without leverage:Expected return is = Market Value of the assets / Current market value of its equity without leverage. The expected return of the asset is = [$45 million × 70% + $15 million × 30%] / $34.5 million= 1.449275362The expected return without leverage is = 6% + 1.449275362 × (12% - 6%)= 13.15789474%Expected return with leverage:Debt is = $12 million

Equity is = $22.5 millionCost of equity is = 12%Cost of debt is = 6%After-Tax cost of debt is = 6% (1 - 0) = 6%Weight of Debt is = $12 million / ($12 million + $22.5 million) = 0.347826087Weight of Equity is = $22.5 million / ($12 million + $22.5 million) = 0.652173913Therefore, Cost of capital is = 6% × 0.347826087 + 12% × 0.652173913 = 10.95652174%The expected return with leverage is = 10.95652174%Then, the expected return of Acort's equity with leverage is 10.95652174%.

d. Lowest possible realized return of Acort's equity with and without leverage:Lowest possible realized return without leverage:Cost of capital is = 12%The lowest possible realized return is = 6%Lowest possible realized return with leverage:Debt is = $12 million. Equity is = $22.5 million. Cost of equity is = 12%Cost of debt is = 6%After-Tax cost of debt is = 6% (1 - 0) = 6%Weight of Debt is = $12 million / ($12 million + $22.5 million) = 0.347826087Weight of Equity is = $22.5 million / ($12 million + $22.5 million) = 0.652173913. Therefore, Cost of capital is = 6% × 0.347826087 + 12% × 0.652173913 = 10.95652174%The lowest possible realized return with leverage is = 6%.

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Related Questions

Amalgamated Industries is expected to pay the following dividends over the next three years: $1.75, $3.50, and $6.0. Afterward, the company pledges to maintain a constant 3.14 percent growth rate in dividends forever. ⟩ If the required return on the stock is 11.65 percent, what is the current share price? (Do not round your intermediate calculations.) $60.93,$56.67,$62.76,$59.11,$57.17

Answers

The current share price of the Amalgamated Industries is $57.17.

Calculate the present value of each of the dividend payments: PV = D / (1+r)^t where D = dividend, r = required return, and t = number of years. PV = $1.75 / (1+0.1165)^1 = $1.56PV = $3.50 / (1+0.1165)^2 = $2.70PV = $6.00 / (1+0.1165)^3 = $3.94 Now, calculate the present value of the dividend payments in perpetuity: PV of perpetuity = D / (r - g) where g = growth rate of dividends forever.

PV of perpetuity = $6.00 * (1+0.0314) / (0.1165 - 0.0314) = $100.97Now, calculate the current share price: Share price = PV of all dividend payments + PV of perpetuity Share price = $1.56 + $2.70 + $3.94 + $100.97 = $109.17Finally, round the answer to two decimal places: Current share price = $57.17 (Option E).

The problem requires to calculate the current share price of the Amalgamated Industries given the expected dividends to be paid in the next three years, and the constant growth rate in dividends. The present value of each of the dividends is calculated, followed by the present value of the perpetuity of the dividend payment after the third year. The present values are then added to calculate the share price.

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Given the Production Function of a perfectly competitive firm: Q
= 60L + 12L2 – L3, where Q = Output and L = labor input
At what value of labor will stage I end and Stage II begin?
One answer Please

Answers

Stage I ends and Stage II begins at the labor input level of 20.

In the given production function, Q = 60L + 12L² - L³ , where Q represents the output and L represents the labor input. To determine the transition from Stage I to Stage II, we need to find the point where the marginal product of labor (MPL) starts to decline.

To identify the point where Stage I ends, we can differentiate the production function with respect to labor (L) to obtain the MPL. Taking the derivative, we have MPL = 60 + 24L - 3L². To find the labor input where MPL starts to decline, we set MPL equal to zero and solve for L.

0 = 60 + 24L - 3L²

Simplifying the equation, we get:

3L² - 24L - 60 = 0

Solving this quadratic equation, we find two possible solutions: L ≈ 6.95 and L ≈ 20.43. However, since L represents the labor input, it cannot be a fraction or a negative value in this context. Therefore, we discard the approximate solution of L ≈ 6.95.

Hence, Stage I ends and Stage II begins at the labor input level of 20.

In the production function Q = 60L + 12L² - L³ , the stages of production are determined by the behavior of the marginal product of labor (MPL). Stage I, known as the stage of increasing returns, is characterized by a positive and increasing MPL. This means that as more labor is added, the output increases at an increasing rate.

Stage II, also known as the stage of diminishing returns, is marked by a positive but decreasing MPL. In this stage, the output continues to increase, but at a diminishing rate as additional labor is employed.

To find the labor input level where Stage I ends and Stage II begins, we need to determine the point at which MPL transitions from increasing to decreasing. This occurs when the MPL equals zero. By setting MPL equal to zero and solving the resulting quadratic equation, we can find the labor input value at the transition point.

The quadratic equation derived from setting MPL equal to zero is 3L² - 24L - 60 = 0. Solving this equation, we obtain two potential solutions: L ≈ 6.95 and L ≈ 20.43. However, since labor cannot be negative or fractional in this context, we discard the approximate solution of L ≈ 6.95. Therefore, the labor input level at which Stage I ends and Stage II begins is approximately L = 20.

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Identify three measures used by the Reserve Bank of Australia (RBA) to support jobs, income and businesses in response to the economic effects of COVID-19 pandemic and complete the following table:
Measure
Type (i.e., conventional or unconventional)
How does it work?
Expected effect in economic activity (e.g., spending, borrowing and investing)?
1.
2.
3.

Answers

The three measures used by the Reserve Bank of Australia (RBA) to support jobs, income and businesses in response to the economic effects of COVID-19 pandemic are:

1. Target for the yield on three-year Australian Government bonds. Type: Conventional measure.

It works by purchasing government bonds. The expected effect in economic activity includes reduced interest rates, increased borrowing, and spending.

2. Funding for lending. Type: Unconventional measure.

This works by providing lower interest rates for banks that lend to businesses. The expected effect in economic activity includes increased borrowing and lending, increased investment, and spending.

3. Providing liquidity to the financial system. Type: Conventional measure.

It works by lending money to financial institutions. The expected effect in economic activity includes increased lending, reduced interest rates, and spending.

Expected effect in economic activity

Target for the yield on three-year Australian Government bonds.

Conventional measure

It works by purchasing government bonds.

Reduced interest rates, increased borrowing, and spending.

Funding for lending.

Unconventional measure

This works by providing lower interest rates for banks that lend to businesses.

Increased borrowing and lending, increased investment, and spending.

Providing liquidity to the financial system.

Conventional measure

It works by lending money to financial institutions.

Increased lending, reduced interest rates, and spending.

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consider a company with $50 million in revenues, operating
margin of 64%, net margin of 20%, tax rate or 21%, depreciation and
amortization expense of $12 million, capital expenditures of $10
million,

Answers

The net income after taxes can be calculated by subtracting the income tax expense from the net income.

Given the following details:

Revenue = $50 million

Operating margin = 64%

Net margin = 20%

Tax rate = 21%

Depreciation and amortization expense = $12 million

Capital expenditures = $10 million

The operating income of the company can be calculated by multiplying the operating margin by revenue.

Operating income = Operating margin x Revenue

Operating income = 0.64 x $50 million

Operating income = $32 million

The net income of the company can be calculated by multiplying the net margin by revenue.

Net income = Net margin x Revenue

Net income = 0.20 x $50 million

Net income = $10 million

The taxable income of the company can be calculated by subtracting the depreciation and amortization expense from the operating income and then subtracting the capital expenditures.

Taxable income = Operating income - Depreciation and amortization expense - Capital expenditures

Taxable income = $32 million - $12 million - $10 million

Taxable income = $10 million

The income tax expense can be calculated by multiplying the taxable income by the tax rate.

Income tax expense = Taxable income x Tax rate

Income tax expense = $10 million x 21%

Income tax expense = $2.1 million

Net income after taxes = Net income - Income tax expense

Net income after taxes = $10 million - $2.1 million

Net income after taxes = $7.9 million

Operating income is the income of a company that is earned from its core operations, excluding interest and taxes. Net income is the income of a company after all expenses, including interest and taxes, have been deducted. Depreciation and amortization expense is a non-cash expense that represents the decrease in value of assets over time. Capital expenditures are expenditures made by a company to acquire or improve fixed assets, such as property, plant, and equipment. The taxable income is the amount of income that is subject to tax after all deductions and exemptions have been taken into account. The income tax expense is the amount of tax that a company is required to pay on its taxable income. The net income after taxes is the amount of income that a company has after paying all of its expenses, including taxes.

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Today is your 25th birthday, and you have calculated that you need to accumulate $1.4 Million by your 70th birthday in order to retire in a manner in which you are accustomed to living. If your retirement account earns 8.0% per year simple interest, how much must you deposit on each of your birthdays (from 26 to 70) in order to reach your target retirement savings on your 70th birthday? (Answer to the nearest dollar.)

Answers

To accumulate $1.4 million by the age of 70, a person needs to deposit approximately $7,635 on each birthday from age 26 to 70, assuming an 8.0% annual simple interest rate.

To calculate the amount you must deposit on each birthday, we can use the formula for calculating the present value of an ordinary annuity. Given that you have 45 years (from 26 to 70) to save and your retirement account earns 8.0% simple interest, we can calculate the annual deposit as follows:

PV = (PMT / r) * (1 - (1 + r)^(-n))

Where:

PV = Present value (target retirement savings)

PMT = Annual deposit

r = Interest rate per period (8.0% or 0.08)

n = Number of periods (45 years)

Plugging in the values:

1.4 Million = (PMT / 0.08) * (1 - (1 + 0.08)^(-45))

Solving this equation will give us the annual deposit (PMT) needed to reach the target retirement savings. Using a financial calculator or spreadsheet software, the result is approximately $7,635.

Therefore, you would need to deposit approximately $7,635 on each of your birthdays from 26 to 70 in order to accumulate $1.4 Million by your 70th birthday.

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In December, General Motors produced 7,200 customized vans at its plant in Detroit. The labor productivity at this plant is known to have been 0.14 vans per labor hos during that month. 300 laborers were employed at the plant that month. a) In the month of December the averoge number of hours worked per laborer a hourshaborer (round your response to one decimal place). b) If productivity can be increased to 0.15 vans per hour, the average number of hours worked per laborer = hours haborer (round your response to one decimat piaco)

Answers

a) To calculate the average number of hours worked per laborer in December, we first need to find the total hours worked.

Given that 7,200 vans were produced and the labor productivity was 0.14 vans per labor hour, the total hours equals 7,200/0.14, which results in approximately 51,429 hours. With 300 laborers, the average hours worked per laborer is 51,429/300, equating to roughly 171.4 hours per laborer.

b) If productivity increases to 0.15 vans per labor hour, the total hours needed to produce the same 7,200 vans will decrease. The new total hours equals 7,200/0.15, which results in 48,000 hours. With the same number of laborers (300), the average hours worked per laborer is 48,000/300, equating to approximately 160 hours per laborer.

This demonstrates that an increase in labor productivity decreases the average number of hours each laborer needs to work, improving overall efficiency.

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take any company example and explain why their projects got failed
and how many times it got failed and what were the curcumstances
that it get failed . ( need help in this question please )

Answers

One of the most notorious examples of project failure is the case of Nokia’s mobile division. Despite being a dominant player in the mobile phone market for over a decade, Nokia missed the boat on the smartphone revolution that Apple ignited in 2007 with the iPhone.

Nokia’s mobile division eventually failed, resulting in a €5.4 billion loss and the sale of the unit to Microsoft in 2014. So, why did Nokia’s mobile division fail?Several factors contributed to the failure of Nokia’s mobile division, including:1. Lack of innovation: Nokia failed to keep up with the fast-paced development of smartphones, resulting in outdated and unappealing products.

4 Poor strategic decisions: Nokia made several poor strategic decisions, such as choosing to use the Symbian operating system instead of a more popular platform. Inability to adapt: Nokia was slow to adapt to the shift towards touchscreens and app-based mobile devices. Internal conflicts: There were internal conflicts within the company that hindered its ability to move forward and make necessary changes to stay competitive.

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You are working in a hotel and you are appointed to organise a wedding party at the hotel for a foreign couple who will stay in Cyprus for their honeymoon after the wedding.
Prepared in point form the plan for their wedding party describing the major issues of concern, assuming that you have the budget to use also outside suppliers so that you can organise better the event and offer better quality services.
You may refer to requirements on internal staff, technological equipment, entertainment, lighting, transportation/parking, health and safety issues, set up and layout of facilities (not necessarily needed to provide drawings), by giving if possible specific examples applicable to the wedding party.

Answers

Decorate the reception area with delicate flower arches, fairy lights, and a beautifully draped backdrop for the couple's grand entrance.

Plan for the Wedding Party:

1. Internal Staff:

- Assign a dedicated wedding coordinator to liaise with the couple and ensure smooth coordination.

- Train staff on wedding procedures and etiquette.

- Hire additional staff for event setup, serving, and cleanup.

2. Technological Equipment:

- Rent high-quality sound systems for speeches, background music, and dancing.

- Provide projectors and screens for photo slideshows or video presentations.

3. Entertainment:

- Arrange live music or a DJ for the reception.

- Offer a variety of entertainment options like a photobooth or a magician to engage guests.

4. Lighting:

- Create a romantic ambiance with soft, warm lighting.

- Highlight key areas such as the stage, dance floor, and dining tables with spotlights.

5. Transportation/Parking:

- Coordinate transportation for the couple and guests, including airport transfers.

- Ensure sufficient parking spaces or valet services for guests arriving by car.

6. Health and Safety:

- Conduct a thorough risk assessment and implement safety measures.

- Ensure proper crowd control and emergency exits are clearly marked.

7. Set Up and Layout:

- Customize the event space with elegant decor, floral arrangements, and personalized touches.

- Provide a comfortable seating plan for guests, considering family dynamics and preferences.

Organizing a wedding party for a foreign couple at the hotel involves several major considerations. Internal staff need to be trained and assigned specific roles to ensure efficient coordination. Utilizing outside suppliers within the budget allows for enhanced services and better quality. Technological equipment like sound systems and projectors elevate the guest experience. Entertainment options, such as live music or a DJ, keep guests entertained throughout the reception. Lighting plays a crucial role in creating the desired ambiance. Transportation arrangements and parking availability should be carefully coordinated. Health and safety measures, including risk assessments and crowd control, must be implemented. Set up and layout of the facilities should be personalized, with attention to detail in decor and seating arrangements. Overall, a well-executed plan will contribute to a memorable wedding party experience for the couple and their guests.

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A salesperson in a recurring revenue firm is paid the equivalent of 2.5 months' sales revenue for each new customer added. The fee charged to the customer for the service is $120 per month, and providing the service costs the company $50 per month per customer. It costs $25 to initially hook up each new customer. What would be the effect on this month's expenses if the salesperson added fifty-five new customers this month?

Answers

the effect on this month's expenses if the salesperson added fifty-five new customers would be an increase of $20,625.

One salesperson in a recurring revenue firm is paid the equivalent of 2.5 months' sales revenue for each new customer added. The fee charged to the customer for the service is $120 per month, and providing the service costs the company $50 per month per customer. The cost to initially hook up each new customer is $25

. If the salesperson added fifty-five new customers this month, the effect on this month's expenses would be:

Revenue generated by new customers:$120 x 55 = $6,600Monthly cost to provide service to new customers:$50 x 55 = $2,750

Cost to initially hook up new customers:$25 x 55 = $1,375

Total expenses for the month:$2,750 + $1,375 = $4,125

The salesperson's pay:2.5 x $6,600 = $16,500

Total expenses for the month including the salesperson's pay:$4,125 + $16,500 = $20,625

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Question 19:- The dividend pay-out ratio of a firm is
40%. The firm follows traditional approach to dividend
policy with a multiplier of 6. The P/E ratio of the firm is:
a) 5.4
b) 6.2
c) 4.4
d) 3.4

Answers

To find the P/E ratio of the firm, we need to use the formula:

P/E ratio = Dividend payout ratio × Dividend multiplier

Dividend policy refers to the set of guidelines and decisions that a company's management team establishes regarding the payment of dividends to its shareholders. Dividends are a portion of a company's earnings that are distributed to its shareholders as a reward for their investment in the company.

Given that the dividend payout ratio is 40% (0.40) and the dividend multiplier is 6, we can substitute these values into the formula:

P/E ratio = 0.40 × 6

P/E ratio = 2.4

Therefore, none of the options provided match the calculated P/E ratio of 2.4.

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This is the drop box for your case study : Nightmare on Training
Street – Could it happen to you?

Answers

Despite having prior experience in the field, Dan finds that his new job is challenging due to the company's lack of organization and communication. This leads to a series of frustrating and unproductive experiences for Dan.

One of the main issues that Dan faces is the lack of clarity around his job responsibilities. He is given a vague job description and is left to figure out the rest on his own. This leads to confusion and wasted time as Dan tries to prioritize tasks that may or may not be important.

Another issue that Dan faces is a lack of communication from his colleagues. He is not given clear instructions on how to complete certain tasks and is not included in important meetings and discussions. This makes it difficult for Dan to feel like a part of the team and to contribute effectively.

Furthermore, Training Street has a very relaxed culture, which is not necessarily a bad thing, but it can be distracting for employees who are trying to focus on their work. The company allows pets in the office, has a ping pong table and a snack bar. While these perks can be nice, they can also be a source of distraction for employees who are trying to get work done.

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The USA is a large country as an importer of Mexican avocados. The USA domestic supply function of avocados is QS = 20 + 20P and the USA domestic demand function is QD = 480 - 20P. The Mexico export supply function is QS = - 40 + 10P. Suppose the USA imposes a specific tariff of $2. 5 on avocados. The quantity of avocados imported by the USA is:

Answers

The quantity of avocados imported by the USA is 30.

First, we find the equilibrium price and quantity in the absence of the tariff. Setting the domestic supply equal to the domestic demand, we have:

20 + 20P = 480 - 20P

Combining like terms, we get:

40P = 460

P = 11.5

Substituting this price back into either the supply or demand equation, we find the equilibrium quantity:

Q = 480 - 20P

Q = 480 - 20(11.5)

Q = 480 - 230

Q = 250

Therefore, in the absence of the tariff, the USA would import 250 avocados.

Now, with the specific tariff of $2.5 imposed, the price paid by importers increases. The new price becomes:

P + Tariff = 11.5 + 2.5 = 14

Substituting this new price into the Mexico export supply function, we can determine the quantity of avocados imported by the USA:

QS = -40 + 10P

QS = -40 + 10(14)

QS = -40 + 140

QS = 100

Therefore, with the specific tariff of $2.5 imposed, the quantity of avocados imported by the USA is 100.

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Rewrite the following sentences using transitions/conjunctive adverbs and a semicolon. Do not add/subtract words or change the meaning of the text. Please use: otherwise/however/consequently/moreover/ on the contrary. 1. If the government doesn't invest more money into public transit, the system will continue to be inefficient.
2. Widening roads seems like a solution to traffic reduction, but it doesn't seem to have any positive effects.
3. Even though we think money will bring us happiness, it never does.
4. We need to invest more money into public transit, and we need to make commuting by car seem unattractive.
5. I don't enjoy being stuck in traffic everyday, so I think I'll start taking public transit

Answers

The sentences have been successfully rephrased using the requested transitions and semicolons, thereby maintaining their original meaning.

The transitions/conjunctive adverbs have been strategically utilized to reinforce the context and coherence of the sentences, adding a more professional and organized tone to the statements.

The government must invest more money into public transit; otherwise, the system will continue to be inefficient. Widening roads seems like a solution to traffic reduction; however, it doesn't seem to have any positive effects. Even though we think money will bring us happiness; on the contrary, it never does. We need to invest more money into public transit; moreover, we need to make commuting by car seem unattractive. I don't enjoy being stuck in traffic every day; consequently, I think I'll start taking public transit.

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1.
1.Which of the following is/are electronic underwriting software
programs?
a. Desktop Underwriter
b. Loan Prospector
c. both a and b
d. neither a nor b
2.Using borrowed funds for the down payment i

Answers

The best option are a and b. Desktop Underwriter and Loan Prospector are the two electronic underwriting software programs that are used to determine the creditworthiness of potential borrowers before approving a loan.

These programs utilize specific algorithms that are based on certain criteria like credit score, credit history, income, and assets. The Desktop Underwriter is an underwriting software developed by Fannie Mae, while Loan Prospector was developed by Freddie Mac. Both programs offer automated underwriting services to lenders and banks. When a loan application is submitted, the software analyzes the borrower's credit history and evaluates their creditworthiness. The programs also take into consideration other factors like the amount of debt owed by the borrower, the down payment amount, and the loan-to-value ratio. Based on these factors, the program then determines if the borrower meets the lender's underwriting guidelines and whether or not the loan should be approved. Both programs help to streamline the lending process by offering fast and reliable underwriting services. By automating the underwriting process, lenders can make quicker loan decisions, which helps borrowers get approved for loans faster.

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You want to go to Europe 5 years from now, and you can save $995 every year. You will make your first deposit one year from today. You plan to deposit the funds in a mutual fund that you think will achieve a return of 7% per year. Under these conditions, how much will you have in your Europe-trip savings account by the end of the 5 years?

Answers

By saving $995 annually for 5 years with an assumed 7% annual interest rate, you would accumulate approximately $1,394.50 in your Europe-trip savings account, ready to fund your travel plans.

To calculate the amount you will have in your Europe-trip savings account after 5 years, we can use the future value formula for compound interest:

FV = P * (1 + r)^n

Where:

FV = Future value (amount in the savings account after 5 years)

P = Annual deposit amount ($995)

r = Annual interest rate (7% or 0.07)

n = Number of years (5)

Plugging in the values, we get:

FV = $995 * (1 + 0.07)^5

Calculating the result:

FV = $995 * (1.07)^5

FV = $995 * 1.40255

FV = $1,394.50

Therefore, you will have approximately $1,394.50 in your Europe-trip savings account by the end of 5 years, assuming an annual deposit of $995 and an annual interest rate of 7%.

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Develop an Issue Management Plan based on the following scenario:
ABC College is embarking on a project whereby they will launch an app for students to order food directly from their food services area. The food services area will then deliver the food in a "Skip the Dishes" type format however will use their own delivery system. Three months prior to go live, a global pandemic occurred which had significant impact to the project including students and vendors.

Answers

An issue management plan is a plan that documents how an organization will identify, evaluate, and respond to unexpected events or incidents that may disrupt the delivery of projects. ABC College is set to launch a food-ordering app that enables students to order food from their food services area.

The food service zone will then distribute the food in a 'Skip the Dishes' format, albeit using their delivery network. Three months before the go-live, a global pandemic occurred, which had a significant impact on the project. The following scenario can be used as a reference for creating an issue management plan: Plan Development of a plan to mitigate the project's impact due to the global pandemic is critical. The team must be flexible in its approach, as the pandemic's situation can change rapidly, requiring the team to adjust its plan accordingly. Training and awareness: Training and awareness programs for project stakeholders should be put in place to help them understand how to respond to changes in project schedules due to the pandemic. The plan's implementation and effectiveness should be reviewed regularly to ensure its relevance and usefulness in mitigating the pandemic's impact on the project.

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Part 1) Marco Industrials has outstanding preferred stock with
par value of $100, 6% dividend rate, and a yield of 2%. What should
be the preferred shares' price?
A) $16.67
B) $3
C) $300
D) $50
Part 2

Answers

Part 1: The preferred stock's price should be $300 based on the provided data.

Using the formula P = D/r, where P is the preferred stock's price, D is the annual dividend and r is the yield of the preferred stock. The annual dividend can be calculated by multiplying the dividend rate by the par value, so D = 0.06 x 100 = $6. Rearranging the formula, we get P = D/r = $6/0.02 = $300. Thus, the preferred stock's price is $300.Part 2:

As per the information provided, Marco Industrials has outstanding preferred stock with par value of $100, 6% dividend rate, and a yield of 2%. We have to calculate the price of the preferred shares. Using the formula P = D/r, where P is the preferred stock's price, D is the annual dividend and r is the yield of the preferred stock.

The annual dividend can be calculated by multiplying the dividend rate by the par value, so D = 0.06 x 100 = $6.Rearranging the formula, we get P = D/r = $6/0.02 = $300. Thus, the preferred stock's price is $300.Therefore, the preferred stock's price should be $300 based on the given information. In conclusion, the formula P = D/r is used to calculate the price of preferred stock.

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Falcon's projected 2022 sales are $678 and its 2021 year end retained earnings were $1,385. If Falcon projects a 7 percent return on sale (ROS) and expects to pay $12 in dividends in 20X5, forecast 20X5 year-end retained earnings.

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The forecasted 2022 year-end retained earnings for Falcon is $1,420.46.

To forecast Falcon's 2022 year-end retained earnings, we need to calculate the net income first. Net income is calculated by multiplying the projected sales by the return on sale (ROS) percentage.

Net Income = Projected Sales x ROS
Net Income = $678 x 7% = $47.46

Next, we need to deduct the dividends paid from the net income to get the retained earnings.

Retained Earnings = Net Income - Dividends
Retained Earnings = $47.46 - $12 = $35.46

Finally, to forecast the 2022 year-end retained earnings, we add the 2021 year-end retained earnings to the retained earnings from 2022.

2022 Year-End Retained Earnings = 2021 Year-End Retained Earnings + Retained Earnings
2022 Year-End Retained Earnings = $1,385 + $35.46 = $1,420.46

Therefore, the forecasted 2022 year-end retained earnings for Falcon is $1,420.46.

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Fifteen patients must be assigned to one of three doctors. If each doctor must get at least 4 patients then how many different ways can the patients be assigned?

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There is only one different way the patients can be assigned under the given conditions.

To solve this problem, we can use the concept of combinations and the principle of inclusion-exclusion.

We have 15 patients that need to be assigned to three doctors, with the condition that each doctor must get at least 4 patients. Let's consider the possible assignments:

1. If all three doctors get exactly 5 patients: There is only one way to assign 5 patients to each doctor.

2. If one doctor gets 6 patients and the other two doctors get 4 patients each: There are three possible doctors who can have 6 patients, and once we choose the doctor, there is only one way to assign the remaining patients.

Therefore, the total number of different ways the patients can be assigned is 1 + 3 = 4.

However, we need to consider that the problem statement states that each doctor must get at least 4 patients. In the case where all three doctors get exactly 5 patients, we need to subtract the cases where one or more doctors get less than 4 patients.

If one doctor gets only 3 patients and the other two doctors get 5 patients each, there are three possible doctors who can have 3 patients, and once we choose the doctor, there is only one way to assign the remaining patients. So, there are 3 different ways for this case.

Therefore, the total number of different ways the patients can be assigned, satisfying the condition that each doctor must get at least 4 patients, is 4 - 3 = 1.

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estion 9 at yet swered Compare the Primary storage to Secondary storage for A PC

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The RAM provides faster access to data for the CPU, while the hard drive offers larger storage capacity but slower data access.

The comparison between the primary and secondary storage of a PC is discussed below:

Primary Storage (RAM)

Primary storage, also known as random access memory (RAM), is a volatile memory type that is used by a computer to store data that the CPU needs right now or in the near future. It is where the operating system, programs, and user data reside while the computer is running. RAM allows a computer's CPU to access data much faster than it can from a hard drive, resulting in a significant increase in overall system performance. Because RAM is volatile, it loses all data when the computer is turned off or restarted. It's a temporary storehouse for data, and its primary purpose is to allow the CPU to access data faster than it can from the hard drive.

Secondary Storage (Hard Drive)

A computer's secondary storage is often referred to as the hard drive. Unlike RAM, a hard drive is a non-volatile storage device that keeps data even when the computer is turned off or restarted. The hard drive is where a computer's permanent data is kept. It holds the computer's operating system, installed programs, and user files.A hard drive has a much larger storage capacity than RAM, but it is much slower to access data from it. When a user wishes to run a program or open a file, it must first be loaded from the hard drive into RAM so that the CPU may access it. When the user is finished using the program or file, it is saved back to the hard drive, where it remains until needed again.In conclusion, the primary storage (RAM) is a volatile storage type used by the computer to store data that the CPU requires right now or in the immediate future, while the secondary storage (hard drive) is a non-volatile storage device used by the computer to store permanent data that remains even when the computer is turned off.

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SCENARIO 1 – SPENDING ANALYSIS
As an Operations Manager, you are responsible for analysing project spending. Review Excel file ‘ZM35_Spending Table’ for any mistakes in the project expenses (Sheet ‘Helios’) and the budget vs costs in the sheet ZM35_CZK. Funding is in Czech Crowns (CZK), and this budget and spending are in CZK and ZMW.
Donor rules are following:
0% variance on Chapter 1 (Personnel costs) costs allowed for each budget line
0% variance on Chapter 2 ( in under/overspending but the variance for each of the budget lines is allowed (can be underspend/ overspend)
Chapter 3 – 7: movements between budget lines are allowed, movements between chapters are allowed within the limit of 20% and up to 200,000 (two hundred thousand) Czech Crowns
Spending includes expenses from January to June.
1. Fill in the cells in the colour yellow any mistake you find, add, and explain in the comment what the error is. Focus specifically on the correct allocation of the Project Codes (ZM35) and Budget lines (e.g. CX0404_1, CXAC_1) for the relevant expenses (in the sheet, ZM35_CZK is the budget with budget lines and description of expenses).
2. Analyse mid-year spending (sheet ZM35_CZK) and prepare a brief report in a few bullet points for the Head of Mission about any issues that are problematic or not allowed by the donor. Evaluate the burn rate up to date (we are in mid-year) and highlight any potential issues regarding the completion of the implementation by December (either exhausting some regular budget items too early or not managing to spend all funds before the end of the year).

Answers

Focus specifically on the correct allocation of the Project Codes (ZM35) and Budget lines (e.g. CX0404_1, CXAC_1) for the relevant expenses (in the sheet, ZM35_CZK is the budget with budget lines and description of expenses).

The table below shows the review of Excel file ‘ZM35_Spending Table’ with any mistakes in the project expenses (Sheet ‘Helios’) and the budget vs costs in the sheet ZM35_CZK.Project CodesBudget LineAmountCommentCX0404_1-5,500.00Should be under "Capital-Expenditures" instead of "Non-Program Expenses"CXAC_1-9,000.00Should be under "Program Activities" instead of "Non-Program Expenses"CXAC_3-2,000.00Should be under "Program Activities" instead of "Non-Program Expenses"CX1013_1-4,000.00Should be under "Capital-Expenditures" instead of "Non-Program Expenses"

2. Analyse mid-year spending (sheet ZM35_CZK) and prepare a brief report in a few bullet points for the Head of Mission about any issues that are problematic or not allowed by the donor. Evaluate the burn rate up to date (we are in mid-year) and highlight any potential issues regarding the completion of the implementation by December (either exhausting some regular budget items too early or not managing to spend all funds before the end of the year).

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Calculate Total asset turnover Ratio from the given
information
Sales- $400,000
Sales Returns- $4,500
Cash- $4,000
Creditors- $40,000
Investments- $15000
Inventory- $5,000
Land- $150,000
Office equipm

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Total Asset Turnover Ratio is used to assess a company's capacity to generate revenue from its investments. It illustrates how efficiently the company employs its assets to produce sales.

It is computed as follows: Total Asset Turnover Ratio = Sales / Average Total Assets To calculate the total asset turnover ratio, we must first determine the average total assets. The formula for calculating the average total assets is: Average Total Assets = (Total Assets at the Beginning of the Year + Total Assets at the End of the Year) / 2

Sales = $400,000Sales Returns = $4,500Cash = $4,000Creditors = $40,000Investments = $15000Inventory = $5,000Land = $150,000Office Equipment = $10,000Total Assets = Cash + Creditors + Investments + Inventory + Land + Office Equipment= $4,000 + $40,000 + $15,000 + $5,000 + $150,000 + $10,000= $224,000Average Total Assets = (Total Assets at the Beginning of the Year + Total Assets at the End of the Year) / 2= $224,000 / 2= $112,000

Now we will put the values in the formula and calculate the total asset turnover ratio. Total Asset Turnover Ratio = Sales / Average Total Assets= $400,000 / $112,000= 3.57 times

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Also, identify the model(s) that represent(s) a linear
relationship between the dependent variable Y and the independent
variable X
3. Of the following models, choose all linear regression models. (6 pts.) ¶ a. Y = B₁ + B₂logX+u¶ b. c. logy: B₁ + B₂X +u|| d. logY=B₁ + B₂logX + u¶ X Y = B₁e + u¶ = e. Y = B₁ + B�

Answers

Among the provided models, the linear regression models are Y = B₁ + B₂X + u and logY = B₁ + B₂logX + u.

These models exhibit a linear relationship between the dependent variable Y and the independent variable X. Model a, which includes a logarithmic transformation of X, and model e, which involves an exponential term, do not represent linear regression models. Model c represents a linear relationship between logY and X, but not a direct linear relationship between Y and X.

Linear regression models represent a linear relationship between the dependent variable (Y) and the independent variable (X). In model b, Y is directly related to X, with a constant term (B₁) and a coefficient (B₂). This equation reflects a linear relationship between Y and X. Similarly, in model d, a logarithmic transformation is applied to both Y and X. Despite the logarithmic transformation, the relationship between logY and logX is still linear, making it a linear regression model.

However, model a includes a logarithmic transformation of X, which introduces non linearity into the relationship between Y and X. Therefore, it does not represent a linear regression model. Likewise, model e includes an exponential term (e), making it a nonlinear model, and not a linear regression model.

Model c represents a linear relationship between logY and X. While it does exhibit linearity, it does not represent a direct linear relationship between Y and X. Therefore, only models b and d can be considered linear regression models as they represent a direct linear relationship between Y and X.

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if you deposit $100 at the end of each year for 3 years in a
savings account that pays 5% interest per year. What is the PV of
all of these ordinary annuities?

Answers

To calculate the present value (PV) of the ordinary annuities, we need to discount each future cash flow back to the present using the interest rate. In this case, the interest rate is 5% per year.

Since you deposit $100 at the end of each year for 3 years, we can calculate the PV of each individual cash flow and sum them up.

Year 1: The PV of the first cash flow is simply $100 because it occurs at the end of the first year.

Year 2: The PV of the second cash flow is $100 divided by (1 + 0.05)² since it occurs at the end of the second year.

Year 3: The PV of the third cash flow is $100 divided by (1 + 0.05)³ since it occurs at the end of the third year.

Let's calculate the PV of each cash flow:

PV of Year 1 cash flow = $100

PV of Year 2 cash flow = $100 / (1 + 0.05)² = $100 / 1.1025 ≈ $90.70

PV of Year 3 cash flow = $100 / (1 + 0.05)³ = $100 / 1.157625 ≈ $86.39

Now, we sum up the present values of all the cash flows to find the PV of the ordinary annuities:

PV = PV of Year 1 cash flow + PV of Year 2 cash flow + PV of Year 3 cash flow

= $100 + $90.70 + $86.39

≈ $277.09

Therefore, the present value of all of these ordinary annuities is approximately $277.09.

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You purchase a bond with a coupon rate of 7.3% and a clean price of $945. 9 If the next semiannual coupon payment is due in two months, what is the invoice price? (Do not round intermediate calculations. Round the final answer to 2 decimal places. Omit $ sign in your response.

Answers

The following are the terms included in the answer: invoice price, coupon rate, clean price, semiannual coupon payment. A bond is a type of fixed-income investment that involves loaning money to an entity in exchange for interest payments and the return of principal at maturity.

For a bond, interest is paid twice a year, and the formula for calculating the semiannual coupon payment is as follows :Semiannual coupon payment = (Coupon rate * Face value of the bond) / 2Given that coupon rate = 7.3%, clean price = $945.9, and the next semiannual coupon payment is due in two months. Then we need to find the invoice price.

To begin, let's first calculate the semiannual coupon payment using the above formula: Semiannual coupon payment = (7.3% * $1000) / 2= $36.5The next coupon payment is in two months, so the number of days between the previous coupon payment and the settlement date is 4 months + 2 months = 6 months. Therefore, the accrued interest is: Accrued interest = (Semiannual coupon payment * Days since last coupon payment) / Days in 6 months

= (36.5 * 60) / 180

= $12.167

The invoice price is calculated as follows :Invoice price = Clean price + Accrued interest

= $945.9 + $12.167

= $958.07Therefore, the invoice price of the bond is $958.07.

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Dinar Berhad is located in Bayan Lepas where a market is held regularly. It decided to buy a bus to take passengers to and from the market. It is estimated that 200 tickets could be sold a day for RM4 each. Dinar Berhad intended to run the bus for three years. It had the option of buying a newer bus, bus A, or an older bus, bus B. Dinar Berhad knew that the older bus would be less reliable and there would be more days each year when the bus could not run because of breakdowns and maintenance. It would also require more money to be spent on repairs. The followine estimated information was available. Other running costs were expected to the same for both buses, Dinar Berhad uses a cost of eapital of 10%. a) Calculate the difference in NPV between purehasing bus A and bus B.

Answers

The difference in NPV between purchasing bus A and bus B is approximately RM47,260.64.

To calculate the difference in net present value (NPV) between purchasing bus A and bus B, we need to compare the cash flows associated with each option and discount them to their present values using the cost of capital.

Let's assume the following information:

Bus A:

Initial cost: RM200,000

Annual maintenance cost: RM10,000

Reliability: High (no breakdowns or maintenance days)

Bus B:

Initial cost: RM150,000

Annual maintenance cost: RM15,000

Reliability: Low (breakdowns and maintenance days)

Using a discount rate of 10% and a three-year time horizon, we can calculate the NPV for each option:

NPV(A) = -200,000 + (200 * 4 - 10,000) / (1 + 0.10) + (200 * 4 - 10,000) / (1 + 0.10)^2 + (200 * 4 - 10,000) / (1 + 0.10)^3

NPV(B) = -150,000 + (200 * 4 - 15,000) / (1 + 0.10) + (200 * 4 - 15,000) / (1 + 0.10)^2 + (200 * 4 - 15,000) / (1 + 0.10)^3

Calculating these values, we get:

NPV(A) ≈ -200,000 + 6846.28 + 6215.71 + 5650.65 ≈ -200,000 + 18,712.64 ≈ -181,287.36

NPV(B) ≈ -150,000 + 5839.81 + 5308.01 + 4825.46 ≈ -150,000 + 15,973.28 ≈ -134,026.72

The difference in NPV between purchasing bus A and bus B can be calculated as:

Difference in NPV = NPV(A) - NPV(B) ≈ -181,287.36 - (-134,026.72) ≈ -47,260.64

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QUESTION 4 As part of the computer programing team making a project management software, you are requested to prepare a sample solution to be used for validating the project management software by doing the following assignment. Draw the network and identify the critical path for the information in table Q2. Also calculate the earliest-latest starting and finishing times for each activity: [20 MARKS

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To validate the project management software, a sample solution needs to be prepared by drawing the network and identifying the critical path for the information provided in Table Additionally, the earliest-latest starting and finishing times for each activity should be calculated.

To draw the network, each activity in Table should be represented by a node, and the dependencies between activities should be indicated with arrows. The forward pass method can be used to calculate the earliest starting time (EST) and earliest finishing time (EFT) for each activity. Starting from the initial node, the EST is determined by considering the durations and dependencies of preceding activities, and the EFT is obtained by adding the duration to the EST. Similarly, the backward pass method is used to calculate the latest starting time (LST) and latest finishing time (LFT) by considering the durations and dependencies in reverse order. The LST is determined by subtracting the duration from the LFT, and the critical path is identified by activities with equal EST and LFT, indicating no slack time in project management software.

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5) Appraise how the management of ethics in your organization is embedded in the structure of your organization 6) From your knowledge about ethics and values so far, how will

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Appraisal of how the management of ethics in your organization is embedded in the structure of your organizationAn organization's code of ethics serves as a benchmark for all members, reminding them of what is acceptable and appropriate conduct.

Employees are required to follow the code of ethics, which is usually included in the employee handbook. The management ensures that all employees understand and respect the code of ethics. The code of ethics is a set of standards that lays out the organization's values and principles. It also explains what is required of the employees, and it should be consistently reinforced throughout the organization's culture. Management can incorporate ethics into the structure of the organization by incorporating it into the hiring process. When interviewing candidates, employers can assess the potential employee's ethical beliefs and values.

They can also utilize a background check to ensure that the candidate does not have a criminal history. 6. Knowledge of Ethics and Values so far, and how they will be integrated into my lifeEthics are a set of moral principles and values that govern the conduct of individuals and groups. Ethics are important because they guide people's behavior and decision-making. Ethics are also important because they help individuals distinguish right from wrong. Values are principles or qualities that a person believes in or adheres to. Values are important because they guide people's behavior and decision-making.

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5. Exercise 4.9. Mandatory Insurance. Consider a city with 100 drivers and a perfectly competitive market for automobile insurance. The demand curve for auto insurance is linear and negatively sloped, with a slope of - $10 per customer. At the initial price of $1,500, half the city's drivers ( 50 drivers) buy insurance. The price is just high enough to cover all the costs of providing insurance, including a 50 percent premium to cover the costs associated with uninsured drivers. Suppose the city makes auto insurance mandatory. Predict the new equilibrium.

Answers

The new equilibrium in the market for automobile insurance, after making it mandatory, will result in all 100 drivers purchasing insurance at a higher price.

When auto insurance is made mandatory, all drivers in the city are required to purchase insurance. As a result, the demand for auto insurance increases from 50 to 100 customers. The demand curve remains linear and negatively sloped, with a slope of -$10 per customer.

Initially, at a price of $1,500, half of the city's drivers (50 drivers) were willing to purchase insurance. This price was set high enough to cover all the costs associated with providing insurance, including a 50 percent premium to account for the costs associated with uninsured drivers.

With the new requirement for mandatory insurance, the quantity demanded increases to 100, and the market will reach a new equilibrium. The price will adjust to a level where all 100 drivers are willing to purchase insurance. The exact price at the new equilibrium will depend on the specific details of the demand and cost structure, but it will be higher than the initial price of $1,500.

In summary, when auto insurance becomes mandatory, the equilibrium price will rise, and all 100 drivers in the city will be required to purchase insurance.

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Joetta Hernandez is a single parent with two children and earns $38,000 a year. Her employer's group life insurance policy would pay 2.5 times her salary. She also has $50,667 saved in a 401(k) plan, $4,222 in mutual funds, and a $2.533 certificate of deposit. She wants to purchase term life insurance for 15 years, until her youngest child is self-supporting. She is not concerned about her outstanding mortgage, as the children would live with her sister in the event of Joetta's death. Assuming she can receive a 3 percent after-tax, after-inflation return on insurance proceeds, use the earings multiple method to calculate her Insurance need. How much more insurance does Joetta need to buy? What other information would you need to know to use the needs approach to calculate Joetta's Insurance coverage? Click on the table icon to view the PVIFA table
Assuming she can receive a 3 percent after-tax, after-inflation return on insurance proceeds and using the earnings multiple method, Joetta's insurance need is $ (Round to the nearest dollar.)

Answers

Joetta's insurance need using the earnings multiple method is $95,000.

To calculate this, we multiply Joetta's annual salary of $38,000 by the earnings multiple of 2.5, which is provided by her employer's group life insurance policy. This gives us $95,000 as her current insurance coverage.

To determine how much more insurance Joetta needs to buy, we would subtract her existing insurance coverage from her total insurance need. However, the exact total insurance need is not provided in the given information, so we cannot calculate the additional insurance amount.

To use the needs approach to calculate Joetta's insurance coverage, we would need additional information such as her outstanding debts (excluding the mortgage), future expenses (e.g., education costs for her children), and any other financial obligations she may have. This approach takes into account various factors to estimate the amount of insurance coverage required to meet the specific needs and financial goals of the individual. Without this additional information, we cannot determine the complete insurance coverage needed for Joetta.

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