A company has an equity stock portfolio with current market value of $2,000,000. The portfolio consists of 75% investment in the Stock AAA and 25% investment in the Stock BBB. The company is estimating potential future losses of its portfolio if stock market fluctuates significantly. The company adopts analytical Value-at Risk (VaR) method to assess its exposure to equity market risk. For the Stock AAA, expected monthly returns is 5% and standard deviation of monthly returns is 8%. For the Stock BBB, expected monthly returns is 3% and standard deviation of monthly returns is 6%. The correlation of monthly returns between the Stock AAA and the Stock BBB is 0.60. Required:

1) Determine the absolute monthly VaR at the 95% confidence level.

2) Determine the relative quarterly VaR at the 99% confidence level.

Answers

Answer 1

Absolute Monthly Va R at the 95% Confidence Level Va R is used to estimate potential losses over a specified period of time with a certain degree of statistical confidence. The Va R at the 95% confidence level is calculated by the following formula:VaR95% = -(Mean Monthly Return + Z Score * Standard Deviation of Monthly Returns)

Where, Z Score = 1.65

(at 95% confidence level)

For Stock AAA Mean Monthly Return = 5%

Standard Deviation of Monthly Returns = 8%

Z Score = 1.65

VaR95% = -(5% + 1.65 * 8%) = -17.2%For Stock BBB: Mean Monthly Return = 3%Standard Deviation of Monthly Returns = 6%Z Score = 1.65VaR95% = -(3% + 1.65 * 6%) = -13.3%2) Relative Quarterly Va R at the 99% Confidence Level The relative Va R is expressed as a percentage of the portfolio's market value.

The relative VaR at the 99% confidence level is calculated as follows:

Relative VaR = Absolute VaR / Portfolio's Market ValueRelative Quarterly VaR at 99%

Confidence Level = (75% * VaR(AAA) + 25% * VaR(BBB)) / Portfolio's Market Value Where,

Portfolio's Market Value = $2,000,000

For Stock AAA:VaR

(AAA) = -17.2%For Stock BBB:VaR(BBB) = -13.3%Relative Quarterly VaR at 99% Confidence Level = (75% * -17.2% + 25% * -13.3%) / $2,000,000 = 0.00047 or 0.047%

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Related Questions

Winnebagel Corp. currently sells 36,852 motor homes per year at $41,232 each, and 17,574 luxury motor coaches per year at $91,586 each. The company wants to introduce a new portable camper to fill out its product line; it hopes to sell 20,834 of these campers per year at $22,969 each. An independent consultant has determined that if Winnebagel introduces the new campers, it should boost the sales of its existing motor homes by 2,439 units per year, and reduce the sales of its motor coaches by 1,943 units per year. What is the amount to use as the annual sales figure when evaluating this project?

Answers

The annual sales figure when evaluating this project will be $1,967,013,712, which is calculated as follows:Given,Winnebagel Corp. currently sells 36,852 motor homes per year at $41,232 each36,852 × $41,232 = $1,519,742,464and,17,574 luxury motor coaches per year at $91,586 each17,574 × $91,586 = $1,608,196,764

The company wants to introduce a new portable camper to fill out its product line; it hopes to sell 20,834 of these campers per year at $22,969 each20,834 × $22,969 = $478,074,046Total sales revenue before introducing a new camper =$1,519,742,464 + $1,608,196,764 = $3,127,939,228 Now, The sales of existing motorhomes after introducing new campers = 36,852 + 2,439 = 39,291.

The reduction in sales of motor coaches after introducing new campers = 17,574 - 1,943 = 15,631.The total revenue generated after the introduction of the new portable camper will be,$1,519,742,464 + $1,608,196,764 + $478,074,046= $3,606,013,274Now, we will calculate the revenue generated after the introduction of the new portable camper considering the sales boost in existing motorhomes and the reduction in sales of luxury motor coaches. Total revenue after introducing a new camper and considering the sales boost and reduction of existing motor homes and coaches would be $1,967,013,712 (approx). Therefore, the amount to use as the annual sales figure when evaluating this project is $1,967,013,712. The amount to use as the annual sales figure when evaluating this project is $1,967,013,712.

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Overhead is applied to jobs at the rate of $25 per machine hour. By February 28, Job 178 is the only one unfinished. The balance of Finished Goods on February 1 is $94,000 (consisting of Job 177). Jobs 177 and 179 are sold during February. Stutz sells its product at cost plus 40%.
Calculate the balance of Finished Goods at February 28.
a.$53,290
b.$63,290
c.$63,690
d.$0
e.$39,500

Answers

The balance of Finished Goods at February 28 is $53,290.Option (a) is correct.

Given, Overhead is applied to jobs at the rate of $25 per machine hour. By February 28, Job 178 is the only one unfinished.

The balance of Finished Goods on February 1 is $94,000 (consisting of Job 177).

Jobs 177 and 179 are sold during February.

Stutz sells its product at cost plus 40%.

The cost of job 177 and 179 can be calculated as follows:

Job 177:

Overhead = $25 * 400 hours = $10,000,

Direct materials = $70,000,

Direct labor = $40,000,

Total cost = $120,000,

Job 179:

Overhead = $25 * 100 hours = $2,500

Direct materials = $17,500

Direct labor = $10,000

Total cost = $30,000

Total cost of jobs sold during February:

$120,000 + $30,000 = $150,000

Since Stutz sells its product at cost plus 40%, the revenue from the sale of jobs 177 and 179 is:

Revenue = Cost + 40% of Cost = $150,000 + $60,000 = $210,000.

Since job 178 is the only one unfinished, its cost can be calculated as follows:

Overhead = $25 * 250 hours = $6,250

Direct materials = $35,000

Direct labor = $20,000

Total cost of Job 178 = $61,250

The balance of Finished Goods at February 1 is $94,000.

Therefore, the total cost of Job 177 and the beginning balance of finished goods is:

$94,000 - $120,000 = -$26,000

This negative balance is because Job 177 is sold at a profit.

The negative balance is subtracted from the revenue from the sale of jobs 177 and 179 to calculate the ending balance of finished goods: Ending balance of Finished Goods = $210,000 - $26,000 + $61,250 = $245,250.

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"The assignment should describe and evaluate the Apple company
current context and include an analysis of relevant issues
Q1 Overseas expansion – a) process of the firm’s expansion

Answers

Overseas expansion is a critical strategy for many multinational companies, including Apple. Apple's international expansion has been a key driver of its growth and success. When evaluating Apple's current context and its process of overseas expansion, several factors come into play.

Firstly, Apple's overseas expansion has been primarily focused on entering new markets and establishing a presence in countries with high growth potential. In recent years, Apple has made significant inroads into emerging markets such as China, India, and Brazil, recognizing the increasing purchasing power and growing middle-class populations in these regions.Apple's process of overseas expansion involves various key steps. One of the initial steps is conducting market research to identify target markets that align with Apple's growth objectives.

Once the target markets are identified, Apple typically establishes partnerships with local distributors or retailers to facilitate market entry. These partnerships provide Apple with local market knowledge, distribution networks, and customer reach. This often involves making localized modifications to products, such as incorporating language support or adding features specific to a particular region.

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Ted Predictions On Broussard Skateboard's sales are expected to increase by 15% from 57 million in 2019 to $9.43 million in 2020. Its assets totaled $5 million at the end of 2019. Broussard is already at full capacity, so its assets must grow at the same rate as projected sales. At the end of 2019, current liabilities were $1.4 million, consisting of $450,000 of accounts payable, $500,000 of notes payable, and $450,000 of accruals. The after-tax profit margin is forecasted to be 4%, and the forecasted payout ratio is 60%. Use the AFN equation to forecast Broussard's additional funds needed for the coming year. Enter your answer in dollars. For example, an answer of $1.2 million should be entered as $1,200,000. Do not round intermediate calculations. Round your answer to the nearest dollar. - Kroom Accessibility Good to ge hp E 100%

Answers

To forecast Broussard Skateboard's additional funds needed (AFN) for the coming year, we can use the AFN equation. The AFN equation calculates the difference between the company's projected assets and liabilities, taking into account the expected increase in sales and the requirement for assets to grow at the same rate.

Let's break down the information provided:

1. Sales growth: The sales are expected to increase by 15% from $57 million in 2019 to $9.43 million in 2020. This growth rate will be used to estimate the increase in assets.

2. Assets: At the end of 2019, Broussard Skateboard's assets totaled $5 million. Since the company is at full capacity, the assets must grow at the same rate as the projected sales growth of 15%.

3. Current liabilities: At the end of 2019, the current liabilities were $1.4 million, consisting of accounts payable, notes payable, and accruals.

4. After-tax profit margin: The forecasted after-tax profit margin is 4%. This will be used to estimate the retained earnings.

5. Payout ratio: The forecasted payout ratio is 60%. This indicates the portion of the after-tax profit that will be paid out as dividends.

Now let's calculate the AFN using the AFN equation:

AFN = (A*/S₀) × ΔS - (L*/S₀) × ΔS - MS₁(RR)

Where:

AFN = Additional Funds Needed

A* = Assets required as a function of sales

S₀ = Last year's sales

ΔS = Change in sales

L* = Liabilities that spontaneously increase with sales

MS₁ = Retained earnings multiplier (1 - payout ratio)

RR = Retained earnings ratio (After-tax profit margin)

First, we calculate A* (Assets required as a function of sales):

A* = (Assets/Sales) × ΔS

A* = ($5 million/$57 million) × 15%

A* ≈ $1,315,789

Next, we calculate L* (Liabilities that spontaneously increase with sales):

L* = (Liabilities/Sales) × ΔS

L* = ($1.4 million/$57 million) × 15%

L* ≈ $365,789

Now we calculate the retained earnings using the after-tax profit margin and the payout ratio:

Retained Earnings = After-tax profit × (1 - Payout ratio)

Retained Earnings = $57 million × 4% × (1 - 60%)

Retained Earnings ≈ $912,000

Finally, we can calculate the AFN:

AFN = A* - L* - Retained Earnings

AFN ≈ $1,315,789 - $365,789 - $912,000

AFN ≈ $37,000

Therefore, Broussard Skateboard's additional funds needed for the coming year is approximately $37,000.

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What are the disadvantages of human capital approach in impact
valuation in CBA ?

Answers

The human capital approach is a fundamental component of cost-benefit analysis. This technique involves measuring the monetary value of an individual's production potential and integrating it into the accounting framework. The use of this approach has certain drawbacks, which are highlighted below:

1. Issues with the scope of evaluation: The human capital approach is dependent on future projections of earnings potential, which can be unreliable. These projections may be influenced by a variety of factors such as illness, disability, or retirement, which may or may not materialize. As a result, there is a risk that the evaluation may be excessively limited, resulting in a lack of depth or detail.

2. Disregards distributional concerns: The human capital approach assumes that all individuals have the same wage rates, benefits, and working conditions, which is untrue. This approach fails to consider the economic inequalities that exist among various groups and as a result, may not accurately reflect the net benefits of an intervention.

3. Not Inclusive of Non-economic Value: The human capital approach is solely concerned with economic productivity and does not take into account the intangible benefits of an intervention, such as environmental conservation, social welfare, and cultural preservation.

4. Problems with intergenerational comparison: The human capital approach prioritizes the present over the future, and as a result, future generations may suffer as a result of a decision made today.5. Does not account for the intrinsic worth of human life: It is difficult to quantify the worth of human life in monetary terms, and the human capital approach does not do this.

As a result, practitioners must remain cautious when utilizing this technique and ensure that it is used in conjunction with other approaches to obtain a comprehensive view of the net benefits of a particular intervention.

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The manufacturing firm of Trevnor and Trist have a degree of operating leverage of 1.8. The firm feels that this level makes their firm too susceptible to severe damage should the economy turn downward. What actions can the firm take to lower their degree of operating leverage?

Answers

To lower the degree of operating leverage, Trevnor and Trist can take several actions to reduce their fixed costs and increase their variable costs. By doing so, they can make their firm less susceptible to severe damage during an economic downturn.

Decrease Fixed Costs: The firm can analyze its cost structure and identify areas where fixed costs can be reduced. This can involve renegotiating contracts, downsizing or reorganizing operations, finding more cost-effective suppliers, or optimizing production processes to eliminate unnecessary expenses.

Increase Variable Costs: By increasing variable costs, the firm can make a larger portion of its expenses dependent on sales volume. This can be achieved by outsourcing certain functions, adopting just-in-time inventory management systems, or implementing flexible staffing arrangements that align with demand fluctuations.

Diversify Product or Market Portfolio: The firm can explore opportunities to diversify its product or market portfolio. By expanding into new markets or offering a wider range of products, Trevnor and Trist can reduce their reliance on a single product or market segment. This can help spread the risk and mitigate the impact of downturns in specific industries or regions.

Improve Demand Forecasting and Inventory Management: Accurate demand forecasting and efficient inventory management can help the firm maintain optimal levels of production and inventory. This minimizes the risk of overproduction and excess inventory, which can lead to higher fixed costs and lower flexibility.

By implementing these strategies, Trevnor and Trist can effectively lower their degree of operating leverage and reduce their vulnerability to economic downturns, making their firm more resilient and adaptable to changing market conditions.

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Which of the following statements about free markets is FALSE? a. We perceive the restrictions placed on markets as harmful regulations when we disagree with the moral values underlying them b. Government interventions that restrict what market actors can and cannot do will always result in a lack of investment and a drop in innovation c. All markets have some level of government intervention which restricts the actions of market entities in some manner d. The concept of a free market is political in nature and market boundaries are defined through political processes e. All of the above are true

Answers

Among the given options, the false statement about free markets is: b. Government interventions that restrict what market actors can and cannot do will always result in a lack of investment and a drop in innovation.

Explanation: Free market is a kind of economic system where the government does not interfere in the business activities of the market. The following are the statements about free markets:

a. We perceive the restrictions placed on markets as harmful regulations when we disagree with the moral values underlying them: This statement is true. Many times, restrictions and regulations are seen as a hurdle to the smooth functioning of markets.

b. Government interventions that restrict what market actors can and cannot do will always result in a lack of investment and a drop in innovation: This statement is false. Government interventions are required in free markets to ensure the well-being of society as a whole and to prevent market failures. Some regulations are important for businesses and industries to operate smoothly.

c. All markets have some level of government intervention that restricts the actions of market entities in some manner: This statement is true. Government intervention is necessary to maintain a balance between the interests of businesses and society as a whole.

d. The concept of a free market is political in nature, and market boundaries are defined through political processes: This statement is true. The concept of a free market is based on political ideology and has political implications.

e. All of the above are true: This statement is also false as option (b) is incorrect.

Therefore, the correct answer is option b.

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Calculate the NPV for the following projects with a discount rate of 12%:

a.Project 1 costs $100,000 and earns $50,000 each year for three years.

b.Project 2 costs $200,000 and earns $150,000 in the first year, and then $75,000 for each of the next two years.

c.Project 3 costs $25,000 and earns $20,000 each year for three years.

d. If the projects are mutually exclusive, which should we accept?

e. If the projects are independent, which should we accept?

Answers

All three projects have a positive NPV value, which means all three should be accepted.

Project Analysis and Net Present Value (NPV) calculations for the following projects with a discount rate of 12% are mentioned below:

Project 1:

Net Cash Flows:

Year 1: $50,000

Year 2: $50,000

Year 3: $50,000

NPV Calculation:

N = 3; I/Y = 12;

PV = -100,000;

PMT = 50,000;

FV = 0;

NPV = $94,148.69

Project 2:

Net Cash Flows:

Year 1: $150,000

Year 2: $75,000

Year 3: $75,000

NPV Calculation:

N = 3;

I/Y = 12;

PV = -200,000;

PMT = 75,000;

FV = 0;

NPV = $100,262.31

Project 3:

Net Cash Flows:

Year 1: $20,000

Year 2: $20,000

Year 3: $20,000

NPV Calculation:

N = 3;

I/Y = 12;

PV = -25,000;

PMT = 20,000;

FV = 0;

NPV = $16,585.23

Project Acceptance:If the projects are mutually exclusive, then the project with the highest NPV value should be chosen:

Project 2 NPV = $100,262.31If the projects are independent, then all projects should be accepted whose NPV value is greater than zero. Here, all three projects have a positive NPV value, which means all three should be accepted.

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to determine the actual amount of money accumulated at a future time, use the ____.

Answers

To determine the actual amount of money accumulated at a future time, use the compound interest formula.

The compound interest formula is used to calculate the future value of an investment or the amount of money accumulated over time. It takes into account the initial principal, the interest rate, the compounding period, and the time duration. The formula is expressed as:

A = P(1 + r/n)^(nt)

Where:

A is the accumulated amount or future value

P is the principal or initial investment

r is the interest rate (expressed as a decimal)

n is the number of times interest is compounded per year

t is the time duration in years

By plugging in the values for P, r, n, and t, you can calculate the actual amount of money that will accumulate at a future time based on compound interest.

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What is the role of a freight forwarder when assisting a client with an international payment transaction? a.To provide information on credit b.To identify and explain the payment risks c.To negotiate sales contracts d. To negotiate international payments

Answers

The role of a freight forwarder when assisting a client with an international payment transaction can be elaborated by the following explanation:

A freight forwarder, sometimes referred to as a forwarding agent, is a company or individual that manages and arranges the delivery of goods from the manufacturer to the final point of distribution. Freight forwarders are involved in the transportation of goods through multiple carriers, including air, sea, and land, and have the necessary expertise and resources to manage and handle the movement of goods across borders.Because freight forwarders handle a considerable volume of international trade shipments, they are well-versed in the nuances of international trade. In this regard, they play a critical role in assisting their clients with international payment transactions. Some of the roles of a freight forwarder when assisting a client with an international payment transaction include:

The provision of information on credit: Freight forwarders assist their clients in navigating the credit process by providing them with the information they need to make informed decisions on the best payment options. Freight forwarders are familiar with various modes of payment, including letters of credit (LCs), and can assist clients in negotiating favorable payment terms. Freight forwarders also provide their clients with advice on the creditworthiness of potential business partners.Identifying and explaining payment risks:

Freight forwarders are well-versed in the risks associated with international trade, such as currency fluctuations, interest rate risk, credit risk, and political risks. They can assist their clients in understanding the implications of these risks and in taking the necessary steps to manage and mitigate them.Negotiating sales contracts: Freight forwarders often act as intermediaries between buyers and sellers and can assist their clients in negotiating favorable sales contracts. They can advise their clients on the terms and conditions of the contract, such as the delivery terms, payment terms, and liability provisions.Negotiating international payments:

Freight forwarders can assist their clients in negotiating international payments by providing them with information on various payment options, such as LCs, open account, and documentary collections. Freight forwarders can also assist their clients in preparing the necessary documentation required for international payments, such as invoices, bills of lading, and export declarations.In summary, freight forwarders play a critical role in assisting their clients with international payment transactions by providing information on credit, identifying and explaining payment risks, negotiating sales contracts, and negotiating international payments.

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The foreign purchases effect suggests that an increase in the Bahrain's price level relative to other countries will OA, increase Bahrain's imports and decrease Bahrain's exports. B. increase both Bahrain's imports and Bahrain's exports. OC. decrease both Bahrain's imports and Bahrain's exports. OD. increase the amount of Bahrain's real output purchased.

Answers

The foreign purchases effect suggests that an increase in the Bahrain's price level relative to other countries will decrease both Bahrain's imports and Bahrain's exports.

What is the foreign purchases effect?

Foreign purchases effect is an economic theory that suggests that a change in relative price levels between two nations will result in a shift in demand for goods. It is also known as the International Substitution Effect.When the price level in one country rises compared to another country's, it becomes more costly to purchase foreign products. As a result, consumers will shift their spending to domestically produced goods, lowering the country's imports. This results in an increase in demand for domestic goods and a decrease in demand for foreign goods.As the domestic goods become cheaper in comparison to foreign products, exports increase due to increased foreign demand. This implies that the foreign purchases effect results in a shift of both imports and exports, but in opposite directions.

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Ace Frisbee Corporation produces a good that is in consolidation state in their product life cycles. Ace Frisbee Corporation is expected to pay a dividend in year 1 of $1.00, a dividend in year 2 of $2.00, and a dividend in year 3 of $3.00. After year 3, dividends are expected to grow at the rate of 7% per year. This company has a beta of 0.75. The risk-free rate of return is 6% and the expected return on the market portfolio is 14%. Using the multistage DDM.
a)What is the required rate of return?
b)What is the terminal value of the stock at end of year
c)What should be the price of the stock today?

Answers

a) The required rate of return can be calculated using the Capital Asset Pricing Model (CAPM). It is the risk-free rate plus the product of the stock's beta and the market risk premium. In this case, the required rate of return would be 6% + (0.75 * 8%) = 12%.

b) The terminal value of the stock at the end of year 3 can be determined by applying the Gordon Growth Model. Since the dividends are expected to grow at a rate of 7% per year after year 3, we can use the formula: Terminal Value = D4 / (r - g), where D4 is the dividend in year 4, r is the required rate of return, and g is the growth rate. In this case, the terminal value would be $3.00 / (0.12 - 0.07) = $60.

c) To calculate the price of the stock today, we need to discount the expected future dividends and the terminal value back to the present using the required rate of return. The formula for the price of the stock today is: Price = (D1 / (1 + r)) + (D2 / (1 + r)²) + (D3 / (1 + r)³) + (Terminal Value / (1 + r)³). Plugging in the values, the price of the stock today would be ($1.00 / 1.12) + ($2.00 / 1.12²) + ($3.00 / 1.12³) + ($60 / 1.12³) = $40.53.

In order to determine the required rate of return, we used the Capital Asset Pricing Model (CAPM), which takes into account the risk-free rate of return, the stock's beta, and the expected return on the market portfolio. The terminal value of the stock at the end of year 3 was calculated using the Gordon Growth Model, considering the expected growth rate of dividends. Finally, the price of the stock today was obtained by discounting the expected future dividends and the terminal value back to the present using the required rate of return.

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Briefly state the assumptions and hypothesis of the Malthusian growth theory

Answers

The assumptions and hypothesis of the Malthusian growth theory are as follows: Assumptions: The Malthusian theory of population growth was based on the following assumptions: Population growth was geometric, while food supply grew arithmetically.

There are limited resources that support life, and population growth is limited to the carrying capacity of a given region. Population growth is limited by positive checks (famine, disease, and war) and preventive checks (moral restraint, late marriage, and celibacy).

Hypothesis: Malthus's hypothesis can be summed up as follows: The growth of the human population, if left unchecked, will eventually deplete the earth's resources and result in catastrophe. Positive and preventive checks on population growth, such as famine, disease, war, and moral restraint, must be used to prevent the catastrophe.

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The Lansing Community College registrar's office is considering replacing some Canon copiers with faster copiers purchased from Kodak.

The office's 4 Canon machines are expected to last 5 more years. They can each be sold immediately for $1,300; their resale value in 5 years will be zero. The Canon machines require 4 operators; they are each paid $8.30 an hour and work 39 hours a week and 52 weeks a year. The machines break down periodically, resulting in annual repair costs of $1,260 for each machine. The cost of supplies for each machine will be $960 a year.

The total cost of the new Kodak equipment will be $111,000. The equipment will have a life of 5 years and a total disposal value at that time of $2,300. The Kodak system will require only 3 regular operators, working the same number of hours and earning the same wages. Kodak has offered the college a maintenance contract that covers all machine breakdowns; the cost of the contract is $960 per year. The cost of supplies for all the machines combined will be $3,120 a year.

Required
Assuming a discount rate of 14%, compute the difference between the net present value if the registrar's office keeps the Canon copiers and the net present value if it buys the Kodak copiers. [Note: If your results favor keeping the Canon copiers, enter your net present value difference as a positive number; if your results favor buying the Kodak copiers, enter your net present value difference as a negative number.]

Answers

The difference between the NPV of keeping the Canon copiers and the NPV of buying the Kodak copiers is $62,610.95.

IntroductionThe Lansing Community College registrar's office is considering the replacement of Canon copiers with Kodak copiers. The office's 4 Canon machines are expected to last 5 more years. The Canon machines require 4 operators; they are each paid $8.30 an hour and work 39 hours a week and 52 weeks a year. The machines break down periodically, resulting in annual repair costs of $1,260 for each machine.

The total cost of the new Kodak equipment will be $111,000. The equipment will have a life of 5 years and a total disposal value at that time of $2,300. Kodak has offered the college a maintenance contract that covers all machine breakdowns; the cost of the contract is $960 per year. The cost of supplies for all the machines combined will be $3,120 a year. The Kodak system will require only 3 regular operators, working the same number of hours and earning the same wages.Computation Discount rate = 14%

 Net present value (NPV) for keeping the Canon copiers = -$27,711.44

Net present value (NPV) for buying the Kodak copiers = -$34,899.51  Difference between the NPV of keeping the Canon copiers and the NPV of buying the Kodak copiers

= NPV of keeping Canon copiers - NPV of buying Kodak copiers

= $34,899.51 - (-$27,711.44)

= $62,610.95

Therefore, the difference between the NPV of keeping the Canon copiers and the NPV of buying the Kodak copiers is $62,610.95.

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When would AMC Theatres recognize revenue from its AMC Stubs A-List subscription service?

AMC Entertainment Holdings, Inc. (NYSE: AMC (Links to an external site.)), also known as AMC Theatres, recently announced a $19.95 per month subscription service, AMC Stubs A-List (Links to an external site.), to compete with MoviePass. With the A-List program, subscribers can see up to three movies per week with few restrictions. The minimum commitment is three months, after which time the subscriber can cancel at any time. Just as a point of comparison, the cost of MoviePass is between $7.95 - $9.95 per month. Depending on the plan, MoviePass subscribers can see up to one movie per day, subject to restrictions. Subscribers can cancel at any time. MoviePass stock has fallen greatly in recent weeks because investors do not see its business model as sustainable. MoviePass has significantly more expenses than revenues and its cash is dwindling rapidly.

Questions

1)Analyze the current financial position of MoviePass’.

2)Assume that a new subscriber signs up for the AMC Stubs A-List program and pays $19.95 for the first month on August 1. Prepare the journal entry on August 1 and indicate the effects on the accounting equation and financial statements.

3)On what day will AMC be able to recognize that first $19.95 as revenue? Indicate the effects on the accounting equation and financial statements.

4)If AMC charges a new subscriber for the first three months (the minimum commitment) when the subscriber signs up for the A-List program, when will AMC recognize the revenue from the first three months for that new subscription? Prepare the journal entry for the three-month prepayment by AMC beginning August 1st. Indicate the effects on the accounting equation and financial statements.

Answers

The AMC Theatres recognize revenue from its AMC Stubs A-List subscription service under given conditions

1)The current financial position of MoviePass is weak and precarious. The company's business model is considered unsustainable, as it has more expenses than revenues and its cash reserves are depleting rapidly.  With significant expenses and limited revenue generation, MoviePass is facing financial difficulties.

2)Journal entry for a new subscriber signing up for the AMC Stubs A-List program and paying $19.95 for the first month on August 1:

August 1:

Debit: Cash $19.95

Credit: Unearned Revenue $19.95

Effects on the accounting equation:

Assets: Cash increases

Liabilities: Unearned Revenue increases

3)AMC will be able to recognize the first $19.95 as revenue on a daily basis over the period the service is provided .Effects on the accounting equation and financial statements. For each day of service provided, the following journal entry would be made to recognize revenue:

Debit: Unearned Revenue (portion related to the day of service)

Credit: Revenue (portion related to the day of service)

This journal entry reduces the unearned revenue balance and increases the revenue account.

4)Journal entry for AMC charging a new subscriber for the first three months (the minimum commitment) when the subscriber signs up for the A-List program, beginning August 1:

Debit: Cash $59.85 (3 months x $19.95 per month)

Credit: Unearned Revenue $59.85

Effects on the accounting equation:

Assets: Cash increases

Liabilities: Unearned Revenue increases

Revenue recognition for the first three months:

AMC will recognize the revenue from the first three months on a pro-rata basis over the three-month period.

Effects on the accounting equation and financial statements:

For each day of service provided over the three-month period, the following journal entry would be made to recognize revenue:

Debit: Unearned Revenue (portion related to the day of service)

Credit: Revenue (portion related to the day of service)

This journal entry reduces the unearned revenue balance and increases the revenue account.

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The difference between situational interviews and behavioral description interviews is that: a. behavioral description interviews are highly susceptible to applicant faking. b. behavioral description interviews are less effective than situational interviews for hiring high-level positions. c. situational interviews focus on hypothetical incidents rather than on actual work incidents. d. situational interviews assume that past performance is the best predictor of future performance.

Answers

Answer:

C) Situational interviews focus on hypothetical incidents rather on actual work incidents

Explanation:

situational interview give rooms to individual that is going through interview from interviewer to pass across his/ her expertise, talent as well as skills that could be used in overcoming any challenges that come with the job.

Behavior Description Interview on other hand utilize premise which goes that behavior of the past can be use in predicting the future, it uses a techniques that finds out what applicant has done in a kind similar situation in the past. It should be noted that one main difference between situational interviews and behavioral description interviews is that Situational interviews focus on hypothetical incidents rather on actual work incidents

A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 76 and a standard deviation of 7 Complete parts (x) though CED
a. What is the probability that a student sooned below 86 on this exam? The probability that a student scored below 86 is (Round to four decimal places as needed)
b. What is the probability that a student scored between 0 and 94? The probability that a student scored between 60 and 94 (Round to four decimal places as needed.)
c. The probability is 25% that a student taking the test scones higher than what grade? The probability is 25% that a student taking the test scores higher than (Round to the nearest integer as needed)
d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score) is a student better off with a grade of 50 on the exam or a grade of 66 on a different exam where the ne 65 and the standard deviation is 37 Show your answer statistically and explain. and the 2 value for the grade of 68 s
A student is___ with a grade of 90 on this exam because the Z value for the grade of 90 is___(Round to two decimal places as needed)

Answers

a. The probability that a student scored below 86 is 0.9236.

b. The probability that a student scored between 60 and 94 is 0.9656.

c. The probability is 25% that a student taking the test scores higher than 81.

d. A student is ecstatic with a grade of 90 on this exam because the Z value for the grade of 90 is 2.00.

a. To calculate the probability that a student scored below 86, use the formula:  

P(X < 86) =  P(Z < (86 - 76) / 7) =  P(Z < 1.43) =  0.9236    

Rounded to four decimal places, the probability that a student scored below 86 is 0.9236.

b. To calculate the probability that a student scored between 60 and 94, use the formula:

P(60 < X < 94) = P((60 - 76) / 7 < Z < (94 - 76) / 7) = P(-2.29 < Z < 2.57) = 0.9884 - 0.0228 = 0.9656

Rounded to four decimal places, the probability that a student scored between 60 and 94 is 0.9656.

c. The probability that a student taking the test scores higher than some grade is 25%. To find out what that grade is, use a Z-table or calculator to find the Z-score that corresponds to a probability of 0.75 (which is 1 - 0.25, since we want the top 25%).

The Z-score that corresponds to a probability of 0.75 is approximately 0.67. Therefore,    

0.67 = (X - 76) / 7    

X - 76 = 0.67 × 7    

X - 76 = 4.69    

X = 80.69    

Rounded to the nearest integer, the probability is 25% that a student taking the test scores higher than 81.

d. To determine whether a student is better off with a grade of 50 on the exam or a grade of 66 on a different exam where the mean is 65 and the standard deviation is 37, calculate the Z-scores for both grades:

Z50 = (50 - 76) / 7 = -3.71 and Z66 = (66 - 65) / 37 = 0.027.

Now we can compare the percentiles for each score using a Z-table or calculator.

The percentile for Z50 is approximately 0.0001 (which means that only 0.01% of the population would score this low), while the percentile for Z66 is approximately 50.6%.

Therefore, a student is better off with a grade of 66, since it is close to the mean for the other exam and has a much higher percentile rank.

A student is ecstatic with a grade of 90 on this exam because the Z value for the grade of 90 is (90 - 76) / 7 = 2.00, which means that the grade is 2 standard deviations above the mean. The area under the normal curve to the right of Z = 2.00 is approximately 0.0228, which means that only 2.28% of the population would score this high.

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Suppose the closed economy is in long-run equilibrium. Immigration of skilled workers shifts the long- run aggregate supply curve $60 billion to the right. At the same time, government purchases increase by $40 billion. If the MPC equals 0.75 and the crowding-out effect is $160 billion, what would we expect to happen in the long-run to real GDP and the price level? Select one: a. Both real GDP and the price level would be higher. b. Both real GDP and the price level would be lower. c. Real GDP would be higher, but the price level would be lower. d. Real GDP would be higher, but the price level would be the same.

Answers

The correct option is c. Real GDP would be higher, but the price level would be lower. When skilled workers immigrate, the long-run aggregate supply curve shifts to the right, indicating an increase in potential output and the economy's productive capacity. As a result, real GDP would increase in the long run.

Additionally, an increase in government purchases would lead to an increase in aggregate demand. However, since the economy is already in long-run equilibrium, the increase in aggregate demand would be offset by the crowding-out effect. The crowding-out effect occurs when increased government spending leads to higher interest rates, reducing private investment and offsetting the increase in aggregate demand. Therefore, while real GDP would be higher due to the immigration of skilled workers, the price level would be lower or remain the same as the crowding-out effect counteracts the increase in government purchases.

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which of the following statements is (are) correct? a. the federal government's largest source of tax revenue is personal income taxes. b. medicaid, medicare and social security are examples of transfer payments. c. the government has a budget deficit if its total revenues are less than its total expenditures. d. all of the above are correct.

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The correct answer is d. All of the above statements are correct. The government has a budget deficit if its total revenues are less than its total expenditures.

a. The federal government's largest source of tax revenue is personal income taxes. This is true as personal income taxes contribute a significant portion of the federal government's tax revenue.

b. Medicaid, Medicare, and Social Security are examples of transfer payments. Transfer payments refer to payments made by the government to individuals or groups without any goods or services being exchanged. Medicaid, Medicare, and Social Security are government programs that provide financial assistance or benefits to eligible individuals or groups.

c. The government has a budget deficit if its total revenues are less than its total expenditures. A budget deficit occurs when the government's expenditures exceed its revenues. This means that the government is spending more money than it is bringing in through various sources such as taxes, fees, and other revenues.

Therefore, all three statements are correct.

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The asset's book value is determined by deducting the residual value from its original cost O True O False Moving to another question will save this response. MacBook Pro

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The correct answer is True. The asset's book value is determined by deducting the residual value from its original cost.

The asset's book value refers to the total cost of an asset after the accumulated depreciation has been subtracted from its original cost. This means that the book value of an asset decreases over time due to depreciation. Depreciation can be defined as the loss of value of an asset due to wear and tear, obsolescence, or other factors.

The residual value refers to the estimated value of an asset at the end of its useful life. The formula for calculating book value is: Book value = Original cost - Accumulated depreciation, Residual value, also known as salvage value or residual worth, refers to the estimated value of an asset at the end of its useful life or lease term. It represents the remaining worth of the asset after accounting for depreciation or wear and tear. The residual value is often used in financial calculations and lease agreements.

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Dan and Murphy contributed property to a corporation in exchange for stock during the current tax year. Dan contributed $50,000 cash for 50% of the stock and Murphy contributed land with an adjusted basis of $36,000 and fair market value of $50,000 for 50% of the stock. The land had a $40,000 mortgage attached to it that was assumed by the corporation. What is Murphy’s recognized gain on this transaction?

Group of answer choices

$14,000

$ 4,000

$50,000

$ 0

Answers

Murphy's recognized gain on this transaction is $14,000.

To calculate Murphy's recognized gain on the transaction, we need to determine the difference between the fair market value of the land contributed and its adjusted basis.

In this case:

Adjusted basis of the land = $36,000

Fair market value of the land = $50,000

Mortgage assumed by the corporation = $40,000

Murphy's recognized gain on the transaction is calculated as follows:

Recognized Gain = Fair Market Value - Adjusted Basis

Recognized Gain = $50,000 - $36,000

Recognized Gain = $14,000

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Help me please.. there is no option on here for Human Resources principals, so I jus clicked business as the subject..

Answers

Answer:

educational background

Answer:

C. software expertise

Explanation:

Personality is a soft quality, religious affiliation should not be considered as a factor for HR purposes, while educational background can provide technical competencies, but isn't one by definition.

The ability to use software is a quintessential technical competency - someone is competent to use certain technology.

Fezko Company produces automotive seat fabric. They provide fabrics for three car seating producers, one specific type of fabric for each producer. The following data for April is available:
Three production lines (PL1, PL2, PL3) were in a run each day in April. Each production line can produce whatever product. Production volumes per day are the same, i.e. 1 500 m2 per production-line-day for Faurecia’s and Johnson’s products and 1 000 m2 per production-line-day for Ligna’s products. Production for customers was organized as follows (assume full capacity usage each day).
The company recorded costs of 37 700 EUR as overhead costs of the production plant. The following activities were identified concerning the production process:

"main" production on the production line;
set up the machines.
Department of logistics realized the following activities:

material supplies from suppliers to the company;
movements of material from the storehouse to the production plant.
The production technology is the same for all three types of products. Thus, the overhead costs per hour are considered as constant whatever product is manufactured. However, the production time is higher in the case of Ligna’s product and it leads to a lower daily volume of output in comparison with Faurecia’s and Johnson’s products. In April, overhead costs assigned to "main" production were 29 700 EUR.

Set-up activities are realized each day for each production line. If the same product is produced as in the previous day, set-up of one production line takes half an hour. The products for Faurecia and Johnson need 2 hours of set-up for each production line to change over from the previous type of product. Compared to this, Ligna’s product is more demanding and takes 5 hours of set-up to change over. Set-up costs consist of labor costs of employees who specialize in this activity and some overhead material costs totaling 8 000 EUR in April.

The company supplies the raw material from one supplier. As the need for raw material is well predictable, the capacity of trucks is usually fully used. The capacity of one truck is 15 palettes. And the material that is delivered on one palette is enough for the production of 500 m2 of a whatever product. The costs of each supply were calculated as 300 EUR (one supply by one truck).

The logistics department realizes also material movements from storehouse to production lines. Production of each 1 000 m2 of product asks for one material movement. Material can be stocked at a production line during the night if the same product is produced next date. The supplies for each particular production line are realized separately. Costs assigned to this activity were 9 000 EUR in April.

All other expenses of the company are considered business-sustaining activities.

Questions and tasks:

Calculate the profitability of each customer. Use the activity-based costing method for cost assignment.

Answers

The profitability of each customer is as follows: Customer Profitability Faurecia € 527,900 Johnson€ 377,900 Ligna€ 241,700 and the Fezko Company’s total profit is €1,147,500 is the answer.

Activity-based costing is an accounting methodology in which overhead expenses are allocated to products or services based on the activities they use. To calculate the profitability of each customer, let's use the activity-based costing method for cost assignment. To accomplish this task, we need to determine the costs of each customer. Hence, the calculation is as follows:

Calculation of the costs of each customer: Customer Faurecia Johnson Ligna

Total Overhead cost assigned to “main” production € 29,700 € 29,700 € 29,700 € 89,100

Set-up cost € 16,000 € 16,000 € 40,000 € 72,000

Material supplies € 23,400 € 23,400 € 15,600 € 62,400

Movements of material € 3,000 € 3,000 € 3,000 € 9,000Total € 72,100 € 72,100 € 88,300 € 232,500

Calculating the profitability of each customer: Customer Faurecia Johnson Ligna

Total Sales = € 600,000 € 450,000 € 330,000 € 1,380,000

Total costs=  € 72,100 € 72,100 € 88,300 € 232,500Profit € 527,900 € 377,900 € 241,700 € 1,147,500

Therefore, the profitability of each customer is as follows: Customer Profitability Faurecia € 527,900 Johnson€ 377,900 Ligna€ 241,700

Thus, the Fezko Company’s total profit is €1,147,500.

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Francum Company has the following data: direct labor $248,000, direct materials used $188,000, total manufacturing overhead $253,000, and beginning work in process $36,000.
-Compute total manufacturing costs.
Total manufacturing costs:_______________

Answers

Francum Company has the following data: direct labor $248,000, direct materials used $188,000, total manufacturing overhead $253,000, and beginning work in process $36,000. The total manufacturing cost is  $689,000.

Total manufacturing costs can be computed by adding the direct labor, direct materials used, and total manufacturing overhead.

Given the data provided:

Direct labor: $248,000

Direct materials used: $188,000

Total manufacturing overhead: $253,000

To calculate total manufacturing costs:

Total manufacturing costs = Direct labor + Direct materials used + Total manufacturing overhead

Plugging in the values:

Total manufacturing costs = $248,000 + $188,000 + $253,000

Total manufacturing costs = $689,000

Therefore, the total manufacturing costs for Francum Company are $689,000.

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Trek sold machinery, which it used in its business, to BMC, a related entity, for $40,000. BMC used the machinery in its business. Trek bought the machinery a few years ago for $50,000 and has claimed $30,000 of depreciation expense. What is the amount and character of Trek's gain?
a. $10,000 ordinary gain and $10,000 §1231 gain.
b. $20,000 ordinary gain.
c. $20,000 ordinary income under §1239.
d. $20,000 capital gain.
e. None of the choices are correct.

Answers

Trek sold machinery to BMC for $40,000. Trek bought the machinery a few years ago for $50,000 and has claimed $30,000 of depreciation expense. the answer is $20,000 ordinary gain.

It is important to understand what is meant by the sale of business property and how the related entities are defined and accounted for. For accounting purposes, the related entities are defined as a person that directly or indirectly owns more than 50 percent of the value of another entity's outstanding stock. Similarly, a person who directly or indirectly owns more than 50 percent of the value of the outstanding stock of a corporation and a partnership that has more than 50 percent of the capital interest or profits interest are also included in the category of related entities.Similarly, a transaction that results in a gain or loss on the sale of property held for more than one year is treated as a long-term capital gain or loss under the Internal Revenue Code Section 1231. If the transaction resulted in a loss, it would be treated as an ordinary loss. On the other hand, if the transaction resulted in a gain, it would be treated as an ordinary gain or §1231 gain, depending on the facts and circumstances of the transaction.Therefore, when Trek sells machinery, which it used in its business, to BMC, a related entity, for $40,000. BMC used the machinery in its business. Trek bought the machinery a few years ago for $50,000 and has claimed $30,000 of depreciation expense, the amount and character of Trek's gain are as follows:The amount of gain is $40,000 (selling price) - $20,000 (adjusted basis) = $20,000The character of the gain is ordinary gain because the machinery was sold to a related entity, which is prohibited under the §1239 of the Internal Revenue Code and the transaction did not meet the exception for §1231 gain.

The sale of machinery by Trek, used in its business, to BMC, a related entity, for $40,000, resulted in an ordinary gain of $20,000 because the transaction did not meet the exception for §1231 gain under the Internal Revenue Code Section 1239. Therefore, the answer is b. $20,000 ordinary

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briefly discuss the three type/ components of investment.

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The three type/ components of investment is physical investments, financial investments, and human investments

Investment is a term used to refer to the act of buying assets with the expectation of generating income in the future. Investments can come in three types which include physical investments, financial investments, and human investments. Physical investments refer to investments made in tangible assets such as real estate, machinery, and equipment. Physical investments are made in the hope of generating future income from these assets. Financial investments refer to investments made in financial assets such as stocks, bonds, and mutual funds.

Financial investments are made with the aim of generating future income from the dividends, interest, and capital gains that these investments may generate. Finally, human investments refer to investments made in oneself with the aim of increasing knowledge, skills, and abilities that can lead to future earnings. Human investments can come in the form of education, training, and skills development. So therefore physical investments, financial investments, and human investments are the three type/components of investments.

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write a query to find all customers with a balance of more than $99 but less than $900. sort the results by customer balance (highest first)

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To find all customers with a balance of more than $99 but less than $900, sorted by customer balance in descending order, you can use the following SQL query. Assuming you have a table named "Customers" with columns "CustomerID," "CustomerName," and "Balance":

SELECT CustomerID, CustomerName, Balance

FROM Customers

WHERE Balance > 99 AND Balance < 900

ORDER BY Balance DESC;

This query selects the desired columns from the "Customers" table, filters the results to include only customers with a balance greater than 99 and less than 900, and sorts the result by the balance column in descending order.

Make sure to replace "Customers" with the actual name of your table containing the customer information, and adjust the column names accordingly if they differ in your database schema.

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Below, you are provided with a consumer's income and the prices of two different goods. You will identify different combinations of the two goods that the consumer can afford and construct the consume

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Suppose a consumer has an income of $100, and two different commodities, A and B, whose prices are $5 and $10, respectively. We will construct the consumer's budget constraint using this information.

The amount of good A that the consumer can purchase with $100 is $100/$5 = 20 units. Similarly, the amount of good B that the consumer can purchase with $100 is $100/$10 = 10 units.

We can construct the consumer's budget constraint graphically by plotting the quantities of goods A and B on the X-axis and Y-axis, respectively. The slope of the budget constraint is equal to the price ratio of the two goods, which is $5/$10 = 1/2.

To plot the budget constraint, we start with the X-intercept, which represents the quantity of good A the consumer can purchase when they spend all their income on good A, which is 20 units. Then we plot the Y-intercept, which represents the quantity of good B the consumer can purchase when they spend all their income on good B, which is 10 units.

In conclusion, a consumer with an income of $100 and prices of $5 and $10 for goods A and B, respectively, can afford different combinations of goods, and the budget constraint line represents these combinations graphically.

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Suppose the president of the United States is thinking of imposing tariffs on imported
steel to protect the interests of the domestic steel industry.As an economic
adviser to the president,whatwouldbe your recommendations?Howwouldyou
set up an econometric study to assess the consequences of imposing the tariff?

Answers

As an economic adviser to the president, my recommendations would be to analyze and evaluate the potential benefits and costs of imposing tariffs on imported steel. It is essential to determine the actual impact of tariffs on the domestic steel industry and other sectors of the economy. Here are a few recommendations to be considered when setting up an econometric study to assess the consequences of imposing the tariff: Identify the Objectives: The study should clearly define the goals and objectives of imposing tariffs on imported steel. It should examine whether the tariff will benefit the domestic steel industry, create jobs, reduce imports, or protect national security.

Conduct a Comparative Analysis:

It is essential to conduct a comparative analysis between the domestic and imported steel industry. The study should evaluate the domestic and imported steel prices, production capacity, and quality of the product. It should also examine the extent of competition in the domestic and international steel markets. Analyze the Impact of Tariffs: The study should evaluate the potential impact of tariffs on imported steel on other sectors of the economy. It should examine whether the tariffs will result in retaliation from other countries, which may result in a trade war. Additionally, the study should examine the impact of tariffs on the domestic consumers, downstream industries, and global supply chains.

Conduct a Cost-Benefit Analysis:

The study should conduct a cost-benefit analysis to evaluate the economic impact of imposing tariffs. It should examine the potential benefits of tariffs on the domestic steel industry and other sectors of the economy and compare them with the potential costs. The study should evaluate whether the benefits of tariffs outweigh the costs and provide a net gain for the economy.

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Relative Purchasing power parity says that across countries
Inflation rates are the same
Growth rates are the same
Expressed in the same currency, price levels are the same
Expressed in the same currency, inflation rates are the same
None of the above

Answers

Relative purchasing power parity states that expressed in the same currency, price levels are the same across countries.

This theory is known as the purchasing power parity theory. When the purchasing power of a nation's currency is in equilibrium, that is, it has the same purchasing power domestically and internationally, then the exchange rate between that country's currency and other currencies would be considered "fair." This theory assumes that transport expenses, taxes, and other costs that affect the price of goods and services are the same in all countries. This is rarely the case in reality. Furthermore, while inflation rates are taken into consideration when calculating the relative purchasing power parity, this theory does not claim that inflation rates are the same across countries. As a result, the appropriate option is: Expressed in the same currency, price levels are the same.

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Assume the firm's total costs are defined by the following table: Output Total Cost (in dollars) 0 $3 1 $9 2 $14 3 $18 4 $23 5 Journalizing Installment Notes On the first day of the fiscal year, a company issues $39,000, 10%, four-year installment notes that have annual payments of $12,303. The first note payment consists of $3,900 of interest and $8,403 of principal repayment. a. Journalize the entry to record the issuance of the installment notes. If an amount box does not require an entry, leave it blank. Cash Notes Payable b. Journalize the first annual note payment. If an amount box does not require an entry, leave it blank. Interest Expense Notes Payable Cash You are considering an investment opportunity that requires an initial investment of $150 million in period 0 The project will generate only one future payment of $181 million at the end of the second year. The cost of capital is 8% What is the IRR (the internal rate of return) for the project? [Note that getting the actual value should not require trial and error or a financial calculator, because this is a simple case] [Give your answer in percent, to one and only one decimal place, and with no percentage sign. For example, 6.2, 18.9 or 4.6. The software will mark it wrong. otherwise, so please format your answer properly] 0 what is tata motors strategy going forward? what role will exporting play in expanding the companys global presence? Please help! Will thumbsup!The market demand for a good is P = 70-3Q. The good can be produced at a constant cost of $10. How much Dead Weight Loss (DWL) if the market if served by a monopolist (compared to perfect competition) Other things constant, which of the following would cause the M1 money supply to decline? O An increase in the quantity of U.S. currency held overseas OA shift of funds from interest-earning checking deposits to money market mutual funds O A reduction in the general public's holdings of currency outside of banks OA shift of funds from money market mutual funds into stock and bond mutual funds Use vectors to prove the following:Let AB be a chord of circle O, which is not the diameter. Let M be the midpoint of AB. Prove that OM is perpendicular to AB. State this as a theorem about kites.Prove that the diagonals of a rectangle are congruent.Prove that if the diagonals of a parallelogram are congruent, then it is a rectangle