Jesse takes out a loan of $8,500, which she repays by the amortization method at a nominal rate of 7.2% compounded monthly. Jesse makes level monthly payments at the end of each month for 6 years. Find the amount of principal repaid in her 55th payment. Solve analytically by hand.

Answers

Answer 1

The amount of principal repaid in Jesse's 55th payment is approximately $131.75.

To find the amount of principal repaid in Jesse's 55th payment, we'll need to consider the loan amount, interest rate, and amortization method. Jesse takes out a loan of $8,500 at a nominal rate of 7.2% compounded monthly, and she repays it with level monthly payments for 6 years.

In order to calculate the amount of principal repaid in 55th payment:

1: Convert the annual interest rate to a monthly rate by dividing by 12:

7.2% ÷ 12 = 0.6% = 0.006

2: Calculate the total number of payments for the 6-year loan period:

6 years × 12 months = 72 payments

3: Calculate the monthly payment using the loan payment formula:

P = (L * r * (1 + r)^n) / ((1 + r)^n - 1)

Where P is the monthly payment, L is the loan amount, r is the monthly interest rate, and n is the total number of payments.

P = (8,500 * 0.006 * (1 + 0.006)^72) / ((1 + 0.006)^72 - 1)

P ≈ $142.54 (rounded to the nearest cent)

4: Find the interest portion of the 55th payment:

Interest = Remaining balance × monthly interest rate

Remaining balance after 54 payments = Loan amount - (Monthly payment × 54)

Remaining balance = $8,500 - ($142.54 × 54) ≈ $1,797.84

Interest in the 55th payment = $1,797.84 × 0.006 ≈ $10.79

5: Calculate the principal repaid in the 55th payment:

Principal = Monthly payment - Interest

Principal ≈ $142.54 - $10.79 ≈ $131.75

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Related Questions

If the firm's fixed costs double while variable costs are unchanged, then
A) marginal cost remains unchanged.
B) marginal cost more than doubles.
C) marginal cost doubles.
D) average total cost remains unchanged.

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If the firm's fixed costs double while variable costs are unchanged, then the total cost of production will increase. This means that both the average total cost and the marginal cost will increase.

However, since only the fixed costs have increased, the increase in marginal cost will not be as high as the increase in average total cost. Therefore, the correct answer is D) average total cost remains unchanged. If a firm's fixed costs double while variable costs remain unchanged, then the correct answer is:
A) Marginal cost remains unchanged.
This is because marginal cost is the additional cost incurred in producing one more unit of a good and is only affected by variable costs. Fixed costs do not impact marginal cost as they remain constant regardless of the level of production.

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In the condition when the firm's fixed costs double while variable costs are unchanged, then the average total cost remains unchanged, option D.

This is because fixed costs do not affect the marginal cost, which is the additional cost of producing one more unit. However, fixed costs do affect the average total cost, which is the total cost divided by the quantity produced. Since the variable costs remain unchanged, the cost per unit (average total cost) will remain the same even if the fixed costs double. Therefore, if the firm costs double while variable costs are unchanged, then average then average total cost remains unchanged.

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micrylex corp. (a u.s. corporation) signs a sales contract with freiers, s.a. (a french company) in which micrylex agrees to sell freiers $15,000 worth of micrylex products. this is an example of

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This is an example of an international sales contract, where two entities from different countries agree to enter into a commercial transaction.

In this case, Micrylex Corp., a U.S. Corporation, has agreed to sell Freiers, S.A., a French company, a certain amount of products for a specified price. This type of contract is beneficial to both parties as it can ensure that they understand the terms of the agreement and can provide legal protection in case of any disputes.

The contract should contain provisions such as a description of the products or services being sold, the purchase price, any payment terms, and the ship date. Additionally, it should outline any warranties, guarantees, or other protection provided to the purchaser. In this case, the contract should ensure that Micrylex delivers the $15,000 worth of products to Freiers in a timely manner.

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This is an illustration of an international sales agreement between a French company and a U.S. organization.

One company agrees to sell its products to another company in this kind of business-to-business (B2B) transaction. Micrylex Corp. is the seller in this transaction, and Freiers S.A. is the purchaser.

In comparison to domestic sales contracts, international sales contracts require additional considerations, such as variations in legal systems, languages, currencies, and cultural norms. To ensure that they completely comprehend their rights and obligations, it is crucial for both parties to carefully analyze and discuss the contract's provisions. To handle these particular concerns, this may entail using professional legal advice and including particular clauses in the contract.

The various sorts of contracts include express, implied, unilateral, and bilateral agreements.

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is one external mechanism that provides a solution to opportunistic behavior by managers. multiple choice question. strategic control

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Strategic control is an essential external mechanism for mitigating opportunistic behavior by managers. It involves the monitoring and adjustment of organizational strategies to ensure they align with established goals.


Strategic control involves setting clear objectives, monitoring performance, and making necessary adjustments to address deviations. This process enables the organization to identify potential issues before they escalate and negatively impact the business.

A well-designed strategic control system ensures that managers are held accountable for their actions, providing transparency and visibility into their decision-making processes.


External stakeholders, such as shareholders and the board of directors, play a crucial role in strategic control. They oversee management performance and ensure that managers act in the best interests of the organization. These stakeholders also provide an external check and balance system, reducing the likelihood of opportunistic behavior going unnoticed or unchecked.

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the assignment operator ________ assigns the value of the expression on its right to the variable on its left.

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The assignment operator "=" assigns the value of the expression on its right to the variable on its left.

Variable: A variable is a named location in the computer's memory that holds a value. It acts as a container that can store different types of data, such as numbers, strings, or other objects.

Assignment operator (=): The "=" operator is used to assign a value to a variable. It has the syntax of variable = expression, where "variable" is the name of the variable to which the value is being assigned, and "expression" is the value or the result of an expression that is being assigned to the variable.

Value assignment: When the assignment operator is executed in a program, the value of the expression on the right-hand side is evaluated, and the resulting value is stored in the variable on the left-hand side. The original value of the variable, if any, is overwritten with the new value.

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according to the above figure, if steel mills are charged an effluent fee in order to bear the cost of pollution, what happens to the equilibrium price and equilibrium quantity?

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If steel mills are charged an effluent fee, the cost of production will increase. This will shift the supply curve to the left, as it becomes more expensive for producers to supply the same quantity of steel.

As a result, the equilibrium price will increase, and the equilibrium quantity will decrease.

The new equilibrium price will be higher than the initial price because the cost of production has increased due to the effluent fee.

The higher cost of production will cause producers to supply less steel at each price level, which will result in a decrease in the equilibrium quantity.

The reduction in equilibrium quantity is due to the fact that some steel mills may find it too costly to continue producing steel at the new higher costs, and may choose to reduce their output or shut down entirely.

This leads to a reduction in the overall supply of steel in the market, causing a decrease in equilibrium quantity.

It is important to note that while the effluent fee may reduce the quantity of pollution produced by steel mills, it may also have a negative impact on the steel industry as a whole, leading to job losses and reduced economic growth.

Therefore, policymakers need to balance the benefits of reducing pollution with the potential costs to the industry and wider economy.

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if the objective of a test of details is to detect the overstatement of sales, the auditor should trace transactions from the: group of answer choices accounting records to the shipping documents. sales journal to the cash receipts journal. shipping documents to the accounting records. cash receipts journal to the sales journal.

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The objective of a test of details is to detect the overstatement of sales. To achieve this, the auditor should trace transactions from the shipping documents to the accounting records.

How to trace transactions from the shipping documents to the accounting records

This process helps ensure that recorded sales transactions are supported by actual shipments of goods or services.

By comparing shipping documents (evidence of goods/services delivered) with the accounting records (sales entries), the auditor can identify any discrepancies or overstatements in sales figures.

Tracing from the sales journal to the cash receipts journal or the cash receipts journal to the sales journal would not provide the necessary information to detect overstatements in sales effectively.

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suppose a customer enters a store, selects an item to purchase and proceeds to checkout. while in the checkout line, the customer hands the item to the cashier and leaves the store without purchasing it. when modeling queuing systems this is an example of . group of answer choices balking a rejection reneging none of the above

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This is an example of reneging in queuing theory. Reneging occurs when a customer enters a queue, but then decides to leave before being served. In this case, the customer has already selected an item and entered the checkout line, but decides to leave without completing the purchase. Option A

Reneging can occur for a variety of reasons, such as long waiting times, perceived unfairness in the queue, or a change in the customer's priorities. From a queuing system perspective, reneging can have important implications for the design and management of queues.

For example, if reneging is a common occurrence, it may be necessary to reduce waiting times or improve the perceived fairness of the queue in order to retain customers and increase sales.

Balking, on the other hand, occurs when a customer decides not to enter a queue at all, usually due to a perceived high waiting time or a lack of interest in the product or service. Rejection occurs when a customer is refused service and is not allowed to join the queue.

Option A

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An investor makes a nondeductible (after-tax) contribution of $1,535 to a traditional IRA. The IRA contribution grows at 10.32 percent after-tax rate of return compounded annually for 8 years when it is distributed. The distribution is subject to a 25 percent tax. Calculate the dollar amount of IRA distribution the investor is left with after paying taxes.

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An investor makes a nondeductible contribution of $1,535 to a traditional IRA. After growing at a 10.32% after-tax rate of return compounded annually for 8 years, the IRA distribution will be:

Initial amount * (1 + rate of return)^years
$1,535 * (1 + 0.1032)^8 = $1,535 * 2.18779 ≈ $3,358.86

The distribution is subject to a 25% tax, so the taxable amount will be:

Taxable amount = ($3,358.86 - $1,535) * 25%
Taxable amount = $1,823.86 * 0.25 ≈ $455.97

Finally, the dollar amount the investor is left with after paying taxes is:

IRA distribution - Taxable amount = $3,358.86 - $455.97 ≈ $2,902.89

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flagstaff company has budgeted production units of 8,300 for july and 8,500 for august. the direct labor requirement per unit is 0.50 hours. labor is paid at the rate of $19 per hour. the total cost of direct labor budgeted for the month of august is:

Answers

The total cost of direct labor budgeted for the month of August is $80,750.

To calculate the total cost of direct labor budgeted for the month of August, we can follow these steps:

Step 1: Calculate the total direct labor hours required for the month of August.

Direct labor hours per unit = 0.50 hours

Budgeted production units for August = 8,500 units

Total direct labor hours for August = Direct labor hours per unit x Budgeted production units for August

= 0.50 hours/unit x 8,500 units

= 4,250 hours

Step 2: Calculate the total cost of direct labor for August using the labor rate per hour.

Labor rate per hour = $19/hour

Total cost of direct labor for August = Labor rate per hour x Total direct labor hours for August

= $19/hour x 4,250 hours

= $80,750

So, the total cost of direct labor budgeted for the month of August is $80,750.

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after the civil war, the geostrategic importance of hawai'i declined, as the american economy focused more on domestic production and trade. True or false?

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False. After the Civil War, Hawaii's geostrategic importance increased due to its strategic location for American expansion in the Pacific and growing trade with Asia.

Hawaii's geostrategic significance rose following the Civil War for several reasons. Hawaii was a key place for American development in the region because of its location in the Pacific. Second, Hawaii was a crucial port of call for American ships as commerce with Asia increased considerably.

Thirdly, Hawaii's sugar business expanded quickly, which increased American investment there significantly. Therefore, rather than diminishing after the Civil War, Hawaii's geostrategic significance expanded, and it continued to be an important American possession in the Pacific for many years to come.

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False. After the civil war, the geostrategic importance of Hawaii declined, as the American economy focused more on domestic production and trade.

After the Civil War, the United States began to expand its influence in the Pacific region, and Hawaii's location became increasingly valuable. American business interests also saw Hawaii as a potential market for goods and a source of raw materials. In 1875, the United States and Hawaii signed a reciprocity treaty, which reduced tariffs on Hawaiian sugar and increased trade between the two countries. The treaty was renewed in 1887, and in 1890, Congress passed the McKinley Tariff, which increased tariffs on sugar and effectively ended the reciprocity agreement. This led to political instability in Hawaii, culminating in the overthrow of the Hawaiian monarchy in 1893 and the eventual annexation of Hawaii by the United States in 1898.

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which of the following statements are true? multiple select question. a project with a positive npv creates cash inflows, but it may or may not recover the cost of the original investment. a project with a positive npv will recover the original cost of the investment plus sufficient cash inflows to compensate for tying up funds. the net present value method automatically provides for return of the original investment. the net present value method does not provid

Answers

Based on the given statements, the true statements are:
1. A project with a positive NPV will recover the original cost of the investment plus sufficient cash inflows to compensate for tying up funds.
2. The net present value method automatically provides for return of the original investment.

Explanation of true statements?

1. A positive NPV indicates that the present value of cash inflows is greater than the present value of cash outflows, which means the project will generate more cash than the initial investment, compensating for the funds tied up.
2. The net present value (NPV) method calculates the difference between the present value of cash inflows and the present value of cash outflows, inherently accounting for the return of the original investment.    

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sensitivityreport assembly plants in jefferson city and omaha supply warehouses in des moines, kansas city, and st. louis. the supplies, demands, and transportation costs per unit were determined. the optimal solution for this problem was found using solver and the attached sensitivity report was generated. if the supply at jefferson city could be increased by 9 units, what would be the change in the total cost of the optimal solution? round your answer to whole dollars and include a sign if required.

Answers

.This results in the same total supply and demand as the original solution, but with a different set of allocations that also has a total cost of $540.

To find an alternative optimal solution for the transportation problem, we need to identify a different set of allocations that also satisfies the constraints and has the same total cost as the original solution.

One way to do this is by using the "Stepping Stone" method, which involves evaluating the opportunity cost of moving one unit of supply from an existing allocation to a vacant cell. The opportunity cost is the amount by which the total cost would increase if we were to move that unit.

Using the Stepping Stone method, we can identify the following alternative optimal solution:

Des Moines Kansas City St. Louis

Jefferson City 20 10 0

Omaha 5 15 10

Supply:

Jefferson City: 30

Omaha: 20

Demand:

Des Moines: 25

Kansas City: 15

St. Louis: 10

Total Cost: $540

In this solution, we have moved one unit of supply from Jefferson City to St. Louis, and one unit of supply from St. Louis to Omaha. This results in the same total supply and demand as the original solution, but with a different set of allocations that also has a total cost of $540.

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Full Question ;

Consider the following network representation of a transportation problem: Des Moines 25 30 Jefferson City Kansas City 115 20 Omaha St. Louis 10 Supplies Demands The supplies, demands, and transportation costs per unit are shown on the network. The optimal (cost minimizing) distribution plan is given below. Des Moines Kansas City St.Louis Supply Jefferson City 20 10 30 Omaha 5 15 Demand | 25 15 10 Total Cost: $540. Find an alternative optimal solution for the above problem. If your answer is zero, enter "0". Des Moines Kansas City St.Louis Jefferson City 20 Do 100 Omaha 20 15 00 Total Cost: $ 540 .

you are interested in buying abc company's preferred stock, which is traded at $50.80 per share today. this preferred stock pays a perpetual annual dividend of $5.17 per share and has a par value of $28 per share. what rate of return do you expect from the purchase of this preferred stock?

Answers

The expected rate of return from purchasing ABC company's preferred stock is 10.18%.

To calculate the expected rate of return from purchasing the preferred stock of ABC company, we need to consider two factors: the annual dividend and the purchase price. The perpetual annual dividend per share is given as $5.17, while the current market price per share is $50.80. The par value of the preferred stock is $28 per share, which does not affect the rate of return calculation.

The rate of return is the percentage of return an investor expects to earn on their investment. To calculate the rate of return, we can use the formula:

Rate of return = (Annual dividend / Purchase price) x 100

Substituting the given values, we get:

Rate of return = ($5.17 / $50.80) x 100

Rate of return = 10.18%

This means that for every dollar invested in the stock, the investor expects to earn a return of 10.18 cents per year in the form of dividends. However, it is important to note that the actual rate of return may vary depending on various factors such as market conditions, changes in the company's financial performance, and other external factors.

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A stock has returns for five years of 14 percent, -16 percent, 12 percent, 23 percent, and 4 percent, respectively. a. The average return on the stock was? b. The variance of return for the stock was? c. The standard deviation was?

Answers

a. The average return on the stock was 8%. This is calculated by adding all the returns together and then dividing by the number of years, which in this case is 5.

b. The variance of return for the stock was 178.4%. This is calculated by taking the difference of each return from the average return, squaring them, and then dividing by the number of years.

c. The standard deviation was 13.35%. This is calculated by taking the square root of the variance. The standard deviation is a measure of the dispersion of data points around the average. In this case, the standard deviation is 13.35%, which indicates that the returns on the stock have been fairly consistent over the past five years.

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_____ is the art of attaining organizational objectives through use of people and other resources.

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Management is the art of attaining organizational objectives through the use of people and other resources.

In a business context, management involves planning, organizing, directing, and controlling resources, such as human capital, finances, and technology, to achieve specific goals.

The first step in the management process is planning, which involves setting objectives and determining the most effective means to achieve them. This includes analyzing the organization's strengths, weaknesses, opportunities, and threats (SWOT analysis) to develop strategies and action plans.

Next is organizing, where managers arrange resources and tasks to create a structured framework. This involves allocating roles and responsibilities, coordinating different departments, and establishing lines of authority and communication.

Directing involves guiding, leading, and motivating employees to accomplish the organization's goals. Managers use various leadership styles and communication techniques to inspire teamwork, foster positive work relationships, and resolve conflicts.

Controlling is the final step in the management process, where managers monitor performance and compare it to the objectives set during the planning stage. If necessary, corrective actions are taken to ensure that the organization stays on track to achieve its goals.

In summary, management is the art of achieving organizational objectives through the effective use of people and resources. It involves planning, organizing, directing, and controlling resources to ensure that the organization meets its goals and continues to grow and prosper.

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00 8 Skipped Quad Enterprises is considering a new 3-year expansion project that requires an initial fixed asset investment of $4.0 million. The fixed asset falls into the 3-year MACRS class (MACRS Table) and will have a market value of $310,800 after 3 years. The project requires an initial investment in net working capital of $444,000. The project is estimated to generate $3,552,000 in annual sales, with costs of $1.420,800. The tax rate is 23 percent and the required return on the project is 14 percent What is the project's year o net cash flow? Year O cash flow -Book References What is the project's year 1 net cash flow? Year 1 cash flow Ť What is the project's year 2 net cash flow? Year 2 cash flow What is the project's year 3 net cash flow? Year 3 cash flow ما What is the NPV? NPV Year Seven-Year 1 2 Property Class Three-Year Five-Year 33.33% 20.00% 44.45 32.00 14.81 19.20 7.41 11.52 11.52 5.76 3 4 14.29% 24.49 17.49 12.49 8.93 8.92 8.93 4.46 5 6 7 8.

Answers

The project's year 0 net cash flow is given as the amount of $4,444,000, project's year 1 net cash flow is $1,947,660, project's year 2 net cash flow is  $2,049,964 and project's year 3 net cash flow is $2,528,764.

After all debts have been settled, net cash flow can represent either a gain or a loss in money over a time period. A company is considered to have positive cash flow if, after paying all of its operational expenses, it still has cash left over. A corporation is considered to have a negative cash flow if it has to pay more in commitments and liabilities than it makes from operations.

A negative cash flow simply indicates that the funds received for that time period were inadequate to fulfil the firm's commitments for that same time period. This does not imply that a corporation cannot meet all of its obligations. if other savings accounts are emptied to pay the debt.

When utilising net cash as a gauge to assess a company's financial health, it is crucial to examine what factors lead to positive or negative net cash. A well-run, healthy company may show positive net cash from occasions like rising sales profits or declining commitments. However, some operations, such as those connected with a lump-sum loan deposit or money received as a result of acquiring additional debt, may provide a positive cash flow that may not be beneficial to a company's financial health.

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If someone asks you a question in the workplace, but you don't know what to answer, what is something you should not say

Answers

When you're stumped for an answer in workplace  to a question, use this tried-and-true "fail-safe" solution.

What to say in an interview when you're unable to respond to a question?

Think about responding with something like, "That's a good question; can I think about it for a bit and get back to you later?" or "Great query! I can respond to some of it, but I'd like to consider it further and get back to you.

What should you say when you don't have the answer to a question?

Try saying something like, "That's an interesting question, could I take some time to think it over and get back to you?" or "I can give you a partial answer to that enormous question.

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Question:-

How do you respond when you don't know the answer at work?

when an advertising campaign is first launched for a new product, which type of advertisements would be most appropriate given that the target market knows little about the product yet?

Answers

When an advertising campaign is first launched for a new product, it is most appropriate to use informative advertisements as the target market knows little about the product yet.

Informative advertisements provide the necessary information about the product's features, benefits, and usage to potential customers. This type of advertisement aims to educate the target market about the product, making them aware of its existence and differentiating it from other products in the market. As the product becomes more well-known, persuasive and reminder advertisements can be used to encourage customers to buy the product and remind them of its benefits.

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You need a particular piece of equipment for your production process. An equipment-leasing company has offered to lease the equipment to you for dollar 10, 000 per year if you sign a guaranteed 5-year lease (the lease is paid at the end of each year). The company would also maintain the equipment for you as part of the lease. Alternatively, you could buy and maintain the equipment yourself. The cash flows from doing so are listed below (the equipment has an economic life of 5 years). If your discount rate is 7.1 percentage, what should you do? The net present value of the leasing alternative is dollar. (Round to the nearest dollar.)

Answers

For your production process, you require a specific piece of machinery. If you agree to a guaranteed leasing 5-year lease (the lease is paid at the end of each year), an equipment leasing business has offered to lease the equipment to you for $10,400 a year.

As part of the leasing, the business would also take care of the equipment maintenance for you. You might also purchase and look after the equipment on your own. The following table details the cash flows as well as the discount rate, which is 7.4%. To decide what to do, (NPV) of each option and select the one with the highest NPV.

You must determine the present value of the cash flows for the lease in order to determine the NPV of leasing. Leasing NPV is PV of cash inflows minus PV of cash outflows. The annual PV of cash inflows, which will be paid out at the end of each year for five years, is $10,400. PV = PMT x [(1 - (1 + r-n)/r, where PMT is the payment per period, r is the discount rate, and n is the number of periods, is the formula to calculate the PV of an annuity. Using the formulas, we arrive at the following result: PV of cash inflows = $10,400 x [(1 - (1 + 0.074)-5)/ 0.074] = $40,030.78. The cost of leasing for five years, or $10,400.

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emelia is trying to create an advertising message that communicates the tangible features of her company's laptop computers, telling consumers about the relative advantages of her products as compared to other offerings in the market. emelia is trying to create a(n) appeal.

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Emelia is trying to create an advertising message that appeals to consumers by highlighting the tangible features of her company's laptop computers. This approach is known as a product appeal.

By showcasing the specific advantages of her products as compared to other offerings in the market, Emelia hopes to persuade consumers to choose her company's laptops over the competition. In order to effectively communicate the benefits of her laptops, Emelia should consider focusing on the features that set her products apart. This might include aspects such as battery life, processing speed, screen resolution, and overall durability. By highlighting these features in her advertising message, Emelia can create a compelling case for why her company's laptops are the superior choice. Another important element of creating a successful product appeal is understanding the needs and preferences of the target audience.

Emelia should consider the specific needs and desires of the consumers she hopes to reach, and tailor her messaging accordingly. This might involve emphasizing features such as portability and lightweight design for on-the-go users, or focusing on graphics capabilities for gamers and designers. Ultimately, by crafting an effective product appeal that showcases the tangible features and relative advantages of her company's laptops, Emelia can create a compelling message that resonates with consumers and drives sales.

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A stock recently paid a $4/share dividend. They maintain the same dividend payments for the next 11 years. Afterwards, they will steadily increase their dividend payments by 2.5%/year, forever. R=14%. Calculate the stock price.

Answers

The stock price is $63.09.To calculate the stock price , we need to find the present value of all future dividends and the future stock price. We can use the dividend discount model (DDM) to do this.

First, we need to find the present value of the first 11 years of dividends. Since the dividend payment remains constant for those years, we can use the perpetuity formula:

PV = (D / R) * (1 - (1 + g)⁻ⁿ)

where PV is the present value, D is the dividend payment, R is the required rate of return, g is the growth rate, and n is the number of periods.

In this case, D = $4, R = 14%, g = 0%, and n = 11. Plugging in these values, we get:

PV = (4 / 0.14) * (1 - (1 + 0)⁻¹¹) = $28.57

This is the present value of the first 11 years of dividends.

Next, we need to find the present value of all future dividends beyond year 11. Since the dividend payment increases by 2.5% per year, we can use the growing perpetuity formula:

PV = (D * (1 + g)) / (R - g)

where PV is the present value, D is the first dividend payment after year 11, R is the required rate of return, and g is the growth rate.

To find the first dividend payment after year 11, we need to calculate the dividend payment in year 11 and then increase it by 2.5% each year. The dividend payment in year 11 is:

D11 = D * (1 + g)^11 = 4 * (1 + 0)¹¹ = $4

The first dividend payment after year 11 is:

D12 = D11 * (1 + g) = 4 * (1 + 0.025) = $4.10

Plugging in these values, we get:

PV = (4.10 / (0.14 - 0.025)) = $34.52

This is the present value of all future dividends beyond year 11.

Finally, we need to find the future stock price at the end of year 11, which is simply the expected dividend payment in year 12 divided by the difference between the required rate of return and the growth rate:

P11 = D12 / (R - g) = 4.10 / (0.14 - 0.025) = $34.52

Adding the present values of the first 11 years of dividends and all future dividends, we get the total present value of the stock:

Total PV = $28.57 + $34.52 = $63.09.Therefore, the stock price is $63.09.

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one health insurance policy provision states that after the policy has been in force for two years, the insurer cannot void the policy or deny a claim because of a misstatement in the application. this provision is called the

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The provision mentioned in your question is known as the "incontestability clause."

This clause protects the policyholder from having their insurance policy voided or a claim denied due to any misstatement in their application, but only after the policy has been in force for two years. It is a consumer protection measure that ensures that insurance companies cannot use minor errors or omissions in the application to deny claims or cancel policies after a certain period. However, if the misstatement was found to be intentional, the incontestability clause may not apply, and the insurer may still be able to deny a claim or void the policy.

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The following facts are available about a convertible bond: Face Value = $2,000; Issue Price = $1,900; Parity = $1,750; Coupon 4%; Dividend Yield = 2.5%; Premium = $150. What is this CB s breakeven in years?
a. 4
b. 5
c. 6
d. 7

Answers

To calculate the breakeven in years for the convertible bond, we need to determine how long it would take for the convertible bond to earn enough interest and dividends to offset the difference between the issue price and the conversion price.

The conversion price is calculated by dividing the face value by the parity value:

Conversion Price = Face Value / Parity

= $2,000 / $1,750

= $1.143 per share

The premium is the difference between the issue price and the conversion price:

Premium = Issue Price - Conversion Price

= $1,900 - $1.143

= $756.00

To calculate the annual interest and dividend income, we first need to determine the annual coupon and dividend payments:

Annual Coupon Payment = Face Value x Coupon Rate

= $2,000 x 0.04

= $80.00

Annual Dividend Payment = Parity x Dividend Yield

= $1,750 x 0.025

= $43.75

The total annual income from the bond is the sum of the annual coupon and dividend payments:

Total Annual Income = Annual Coupon Payment + Annual Dividend Payment

= $80.00 + $43.75

= $123.75

To calculate the breakeven in years, we divide the premium by the total annual income:

Breakeven in Years = Premium / Total Annual Income

= $756.00 / $123.75

= 6.1 (rounded to the nearest tenth)

Therefore, the breakeven in years for this convertible bond is approximately 6 years. The answer is (c) 6.

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The cost to build a motel is $2,200,000. The lot costs $600,000. Fur­ niture and furnishings cost $400,000 and should be recovered in 7 years (7-year MACRS property), while the motel building should be recovered in 39 years (39-year MACRS real property placed in service on January 1). The land will appreciate at an annual rate of 5% over the project period, but the building will have a zero-salvage value after 25 years. When the motel is full (100% capacity), it takes in (receipts) $4,000 per day, 365 days per year. Exclusive of depreciation, the motel has fixed operating expenses of $230,000 per year. The variable operating expenses are $170,000 at 100% capacity, and these vary directly with percent capacity down to zero at 0% capacity. If the interest is 10% compounded annually, at what percent capacity over 25 years must the motel operate in order to break even.

Answers

To calculate the break-even point, we need to determine the annual cash inflows and outflows of the project. So the answer is the motel must operate at a capacity of at least 70.5% over 25 years in order to break even, assuming an interest rate of 10%.

First, let's calculate the annual cash inflows. At 100% capacity, the motel generates daily receipts of $4,000, or $1,460,000 per year. At 50% capacity, the motel generates half of that amount, or $730,000 per year. In general, the annual cash inflows can be expressed as:

Annual cash inflows = Daily receipts x 365 x % capacity

Next, let's calculate the annual cash outflows. The fixed operating expenses are $230,000 per year, and the variable operating expenses vary directly with percent capacity, down to zero at 0% capacity. In general, the annual cash outflows can be expressed as:

Annual cash outflows = Fixed operating expenses + Variable operating expenses x % capacity

Now, let's calculate the depreciation expenses. The furniture and furnishings have a 7-year MACRS recovery period, and the motel building has a 39-year MACRS recovery period. The annual depreciation expenses can be calculated using the MACRS tables, as follows:

Furniture and furnishings depreciation expense = $400,000 x 0.1429 = $57,160

Motel building depreciation expense = $2,200,000 x 0.0256 = $56,320

Note that we used the 7-year and 39-year MACRS percentages for the furniture and furnishings and the motel building, respectively.

Finally, let's calculate the net cash flow for each year. The net cash flow is the difference between the annual cash inflows and outflows, minus the depreciation expense. In general, the net cash flow can be expressed as:

Net cash flow = Annual cash inflows - Annual cash outflows - Depreciation expense

Now, we can calculate the break-even point. The break-even point is the percent capacity at which the net cash flow is zero, or:

0 = Annual cash inflows - Annual cash outflows - Depreciation expense

Solving for % capacity, we get: % capacity = (Annual cash inflows - Annual cash outflows - Depreciation expense) / Annual cash inflows

Plugging in the numbers, we get: % capacity = (1,460,000 x X) - (230,000 + 170,000 x X) - (57,160 + 56,320) / (1,460,000 x X

Simplifying and solving for X, we get: X = 0.705 or 70.5%

Therefore, the motel must operate at a capacity of at least 70.5% over 25 years in order to break even, assuming an interest rate of 10%.

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Mr. James K. Silber, an avid international investor, just sold a share of Néstle, a Swiss firm, for SF5,130. The share was bought for SF4,650 a year ago. The exchange rate is SF1.85 per U.S. dollar now and was SF2.08 per dollar a year ago. Mr. Silber received SF150 as a cash dividend immediately before the share was sold. Suppose that Mr. Silber sold SF4,750, his principal investment amount, forward at the forward exchange rate of SF2.37 per dollar. How would this affect the dollar rate of return on this Swiss stock investment? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Rate of return %

Answers

No Mr. James K. Silber shouldn't sold SF in forward market because the actual spot rate is lower than forward rate in SF terms

1. US Dollar Return = Sale Price + Cash Dividend - Purchase price

US Dollar Return = 5080/1.60 + 120/1.60 - 4600/1.78

US Dollar Return = $3250 - $2584.27

US Dollar Return = $665.73

Rate of return = US Dollar Return / Purchase price = 665.73 / 2584.27 = 25.76%

2. Profit from Forward market  = Sold Value * (Forward Rate - Spot Rate)

Profit from Forward market = 4600 * (1/62 - 1/60)

Profit from Forward market  = -$35.42

Total US Dollar Return = $665.73 - 35.42 = $630.31

Rate of Return = US Dollar Return / Purchase price = 630.31 / 2584.27 = 24.39%

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You purchased a machine for $1.07 million three years ago and have been applying​ straight-line depreciation to zero for a​ seven-year life. Your tax rate is 40%. If you sell the machine right now​ (after three years of​ depreciation) for $756 000​, what is your incremental cash flow from selling the​ machine?

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The incremental cash flow from selling the machine is $498,600.

Since the machine has a seven-year life and has been depreciated straight-line to zero over this period, the annual depreciation expense is

$1.07 million / 7 = $153,571.43.

After three years, the accumulated depreciation is

$153,571.43 x 3 = $460,714.29.

Therefore, the book value of the machine is

$1.07 million - $460,714.29 = $609,285.71.

When the machine is sold for $756,000, there is a gain of

$756,000 - $609,285.71 = $146,714.29.

Since the tax rate is 40%, the tax on this gain is

0.4 x $146,714.29 = $58,685.71.

The incremental cash flow from selling the machine is therefore the after-tax gain from the sale plus the return of the book value:

$146,714.29 - $58,685.71 + $609,285.71 = $498,600.

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Long-Term Capital Management (LTCM) began operations in 1994 with more than $1 billion in capital and what looked like the unbridled potential to succeed. Its founding principals were a virtual who’s who of world-class academics and seasoned Wall Street practitioners.
1. Given the economic and political turmoil that took place in 1998, what bet would have earned JK and his team of arbitrageurs the highest profits?
2. Suppose the yield on a two-year Treasury note was 4 percent, and the yield on a five-year Treasury note was 6 percent. If you expected this yield spread to widen, explain the spread trade you would execute.
3. Using the information from Table 7.1, calculate the return on assets and the return on equity if LTCM had earned only a 1 percent net return (instead of a 5 percent net return) on the investment assets purchased with borrowed funds.
4. Why did LTCM have difficulty raising its level of risk?

Answers

Given the economic and political turmoil that took place in 1998, the bet that would have earned JK and his team of arbitrageurs the highest profits would have been to short the Russian government bonds.

LTCM had invested heavily in the Russian market, and when the Russian government defaulted on its debt in August 1998, it caused a sharp decline in the value of Russian bonds, resulting in a significant loss for LTCM. Had the team shorted these bonds, they would have profited from the decline in their value.

To execute a spread trade based on an expected widening of the yield spread between the two-year and five-year Treasury notes, an investor would sell the five-year Treasury note and buy the two-year Treasury note. This trade would profit if the yield spread widens, as the investor would be able to buy back the five-year note at a lower price than they sold it for and sell the two-year note at a higher price than they bought it for.

Using the information from Table 7.1, if LTCM had earned only a 1 percent net return on the investment assets purchased with borrowed funds, the return on assets would be (1% x $125 billion) - $2.267 billion = $754 million. The return on equity would be ($754 million / $4.72 billion) x 100% = 15.97%.

LTCM had difficulty raising its level of risk because it had become too big and too complex. The fund used a highly leveraged strategy that involved borrowing large sums of money to finance its investments, which increased its exposure to market fluctuations. Additionally, the firm had become heavily invested in illiquid assets, such as emerging market debt and complex derivatives, which made it difficult to unwind positions quickly in times of market stress. As a result, the firm was unable to increase its level of risk without exposing itself to significant downside risk.

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The appropriate discount rate to use when finding present value is the rate of return we can earn on other investments of similar risk Select one: True O False

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The statement "The appropriate discount rate to use when finding present value is the rate of return we can earn on other investments of similar risk" is true because the appropriate discount rate to use when finding the present value of a future cash flow is the rate of return that could be earned on an investment with similar risk.

This is known as the opportunity cost of capital, which represents the return foregone by investing in one opportunity instead of another with similar risk. Using a discount rate that is too low or too high can result in inaccurate valuations and investment decisions.

Therefore, selecting an appropriate discount rate that reflects the level of risk associated with the cash flow is critical to accurately determining its present value.

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The expected value of a normal distribution of prices for a stock is $71. If you are 99 percent sure that the price of the stock will be between $60 and $82, then what is the variance of the stock price? (Round answer to 3 decimal places, e.g. 52.750.) Variance of stock price: $_____

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If the expected value of a normal distribution of prices for a stock is $71 and the price of the stock will be between $60 and $82, then, Variance of stock price: $18.176.

1: Identify the given information

Expected value (mean) of the stock price: $71

99% confidence interval: $60 to $82

2: Calculate the range of the confidence interval

Range = $82 - $60 = $22

3: Find the z-score for a 99% confidence interval

The z-score for a 99% confidence interval is approximately 2.576 (from a standard normal distribution table).

4: Calculate the standard deviation

The range represents the distance of 2.576 standard deviations from the mean (as it covers 99% of the distribution).

Standard deviation (σ) = Range / (2 * z-score) = $22 / (2 * 2.576) ≈ $4.264

5: Calculate the variance

Variance = σ²

Variance = (4.264)² ≈ 18.176

The variance of the stock price is approximately $18.176, rounded to 3 decimal places.

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a cisco switch has four area modules that store various files and the ios. in which area module is the startup-configuration file stored?

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The area module that is the startup-configuration file stored is NVRAM.

Configuration documents are saved withinside the following locations: • The strolling configuration is saved in RAM. On all systems besides the Class A Flash document machine systems, the startup configuration is saved in nonvolatile random-get admission to reminiscence (NVRAM).The IOS is saved in a reminiscence place referred to as flash. The flash lets in the IOS to be upgraded or shops more than one IOS documents. In many router architectures, the IOS is copied into and run from RAM. A reproduction of the configuration document is saved in NVRAM for use at some point of startup. The configuration document is saved in NVRAM; however, you could configure the router to load the configuration document from a Trivial File Transfer Protocol (TFTP) server.

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The startup-configuration file in a Cisco switch is stored in the NVRAM (non-volatile random access memory) area module. NVRAM is a type of memory that is used to store configuration files, as it retains data even after the switch has been powered off.

The other area modules on a Cisco switch are the RAM (random access memory), ROM (read-only memory), and Flash memory.

RAM is a volatile memory module that is used for temporary storage of running configurations and data, but it does not retain information when the switch is powered off. The ROM module contains the switch's basic operating system and boot loader. It is a read-only memory, meaning that the information stored in it cannot be modified. Flash memory is used for storing the switch's operating system and other critical files, such as firmware updates.

The startup-configuration file is a crucial part of a switch's configuration, as it contains the initial configuration settings that are loaded when the switch is powered on. This file includes settings such as interface configurations, VLAN settings, and security settings, among others. Storing the startup-configuration file in NVRAM ensures that the settings are retained even after the switch is powered off and back on again.

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