Wong owns a magic-training company ("Kamar-Taj") as a sole proprietorship. In 2021, Wong's business taxable income is $2,000,000 before considering any $179 deduction, and Wong purchases and places a business computer (a 5-year class property) in service for $2,500,000 on July 7th, 2021. Assume that Wong chooses (1) $179 deduction option, and (2) declining balance (DB) cost recovery method (the depreciation percentage for DB method is 20%). Determine Wong's cost recovery deduction for 2021

Answers

Answer 1

Wong's cost recovery deduction for 2021 using declining balance (DB) cost recovery method is $328,703 (rounded to the nearest dollar).

According to the given information, Wong's taxable income is $2,000,000 before any deduction. Wong purchases and places a business computer (a 5-year class property) in service for $2,500,000 on July 7th, 2021. Wong chooses the $179 deduction option. Wong chooses the declining balance (DB) cost recovery method. The depreciation percentage for the DB method is 20%.The $179 deduction is taken first, so the adjusted basis for the computer is $2,499,821 ($2,500,000 − $179). The computer is a 5-year class property, so the recovery period is 5 years.Using the declining balance (DB) method,

the depreciation rate for the computer in year 1 is 20% (double the straight-line rate of 10%). Thus, the first year's deduction is $499,964 ($2,499,821 × 20%).However, because the computer was placed in service on July 7, 2021, it is considered "placed in service" in the middle of the year, so the depreciation deduction for 2021 is only half of what it would have been if the computer had been placed in service on January 1, 2021.The mid-quarter convention applies, so the fraction used in the numerator of the fraction is 3/12. Thus, the cost recovery deduction for 2021 is $328,703 ($499,964 × 3/12).Therefore, Wong's cost recovery deduction for 2021 using declining balance (DB) cost recovery method is $328,703 (rounded to the nearest dollar).

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Case study, subtotal 15 points In September, 2020 a contract of DAT Manchuria, China for sales of mineral products was concluded between a Heilongjiang based exporter and a Russia based importer. The contracted quantity was 8000 metric tons, partial shipments allowed, latest date of delivery was by the end of December, 2020. Soon after the contract was concluded, the exporter started to prepare for the cargo and to arrange for the transport by railway. Total 8000 metric tons of the products were dispatched in partial shipments before December 30, 2020. The importer took delivery in Manchuria, and shortage of delivery was found upon inspection. Part of the cargo was found to arrive in Manchuria in January, 2021. The importer pointed out to the exporter that the latest date of delivery was not in conformity with that of the contract and shortage of delivery had happened and hence claimed late delivery compensation. However, the exporter showed transport document issued by railway carrier to prove his shipments were effected on time, the exporter also showed the quantity indicated on both the Inspection Certificate issued by CIQ and transport document to prove the quantity of delivery was in conformity with that of the contract. Question: Is there any breach of contract by the exporter? Why?

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Yes, there is a breach-of-contract by the exporter by failing to deliver the complete quantity of the mineral products within the specified timeframe.

The breach of contract by the exporter is related to the delivery timeline. The contract stipulated that the latest date of delivery was by the end of December 2020. However, part of the cargo arrived in Manchuria in January 2021, indicating a delay in delivery.

Even though the exporter provided transport documents issued by the railway carrier to prove that shipments were effected on time, the fact remains that the cargo did not reach the destination within the agreed-upon timeframe. This constitutes a breach of contract, as the exporter failed to fulfill the contractual obligation of delivering the entire quantity by the specified date.

While the exporter may argue that the quantity of delivery was in conformity with the contract, the issue of late delivery remains unresolved. The importer rightfully claimed late delivery compensation due to the breach of contract by the exporter.

The exporter breached the contract by failing to deliver the complete quantity of the mineral products within the specified timeframe. Despite providing transport documents and proof of quantity, the late arrival of part of the cargo in January 2021 indicates a violation of the agreed-upon delivery date. The importer's claim for late delivery compensation is valid in this case.

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True & False Question
1. For multinational firms, political risks exist in various forms from country to country, and they must be addressed explicitly in any financial analysis.
2. The international monetary system is the framework within which exchange rates are determined and it is the blueprint for international trade and capital flows.
3. An exchange rate is the price of one country's currency in terms of another country's currency.
4. Suppose that 1 euro has changed from $1.25 to $1.20. This means that US$ has depreciated against euro.
5. Forward exchange rate is an agreed-upon price at which two currencies will be exchanged at some future date.

Answers

In financial analysis, multinational firms must explicitly address the various forms of political risks that exist from country to country, making statement 1 true. The international monetary system serves as the blueprint for international trade and capital flows, and it determines exchange rates, making statement 2 true. An exchange rate represents the price of one country's currency in terms of another, which aligns with statement 3 as true. If the exchange rate between the euro and the US dollar changes from $1.25 to $1.20, it signifies that the US dollar has depreciated against the euro, making statement 4 true. Lastly, forward exchange rates establish an agreed-upon price for future currency exchange, serving as a risk management tool, making statement 5 true.

1. True. Political risks can indeed vary from country to country for multinational firms.

Political risks refer to the potential adverse effects on business operations and financial performance due to political factors such as changes in government policies, regulations, political instability, corruption, and geopolitical conflicts.

These risks can significantly impact a multinational firm's investments, profitability, and even its ability to operate in certain countries.

Therefore, when conducting financial analysis, multinational firms must explicitly consider and address political risks to make informed decisions and manage potential challenges.

2. True. The international monetary system serves as the framework that determines exchange rates and facilitates international trade and capital flows.

It encompasses various institutions, rules, and agreements that govern the exchange of currencies and the flow of money between countries.

Examples of international monetary systems include the gold standard, the Bretton Woods system, and the current floating exchange rate system.

The international monetary system influences economic stability, competitiveness, and investment flows among countries. It is a crucial factor in shaping global economic relations and plays a vital role in promoting or impeding international trade and investment.

3. True. An exchange rate represents the price at which one country's currency can be exchanged for another country's currency. It indicates the value of one currency relative to another.

Exchange rates are typically expressed as a ratio, stating how much of one currency is needed to acquire a certain amount of another currency. For example, if the exchange rate between the US dollar and the euro is 1.20, it means that 1 US dollar can be exchanged for 1.20 euros.

Exchange rates fluctuate based on various factors such as economic conditions, interest rates, inflation, and market sentiment. They play a fundamental role in international trade, investment, and cross-border transactions.

4. True. If the exchange rate between the euro and the US dollar changes from $1.25 to $1.20, it means that the US dollar has depreciated against the euro.

Depreciation refers to a decrease in the value of a currency relative to another currency. In this case, it would take fewer US dollars to buy 1 euro compared to the previous exchange rate.

This means that the euro has become relatively stronger, and the US dollar has weakened in comparison.

5. True. The forward exchange rate is indeed an agreed-upon price at which two currencies will be exchanged at a future date.

It is a rate established in a forward contract, which is a financial agreement between two parties to exchange currencies at a predetermined rate and date in the future.

Forward exchange rates are used to hedge against potential currency fluctuations and manage foreign exchange risk.

By locking in a future exchange rate, businesses can protect themselves from adverse movements in exchange rates and ensure price certainty for international transactions.

Forward exchange rates are influenced by factors such as interest rate differentials, market expectations, and supply and demand dynamics in the foreign exchange market.

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The future value of an annuity due is:
a. at the same point in time as the final payment.
b. one period after the final payment.
c. one period before the final payment.

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The one period after the final payment.

What is the future value timing for an annuity due?

An annuity due is a series of equal cash flows or payments made at the beginning of each period.

The future value of an annuity due refers to the accumulated value of these cash flows at a specified future point in time.

In the case of an annuity due, the final payment is made at the end of the last period, and the future value is calculated one period after this final payment.

This means that the future value of an annuity due considers the additional period that occurs after the final payment, taking into account the compounding effect of that extra period.

Therefore, option (b) - "one period after the final payment"

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If a market for tradable pollution allowances exists, a company that has used up its own allowances can...

A. buy allowances from another firm that is above its limit of allowed pollution.
B. buy allowances from another firm that is below its limit of allowed pollution.
C. buy allowances from the EPA which increases the quantity of allowances as long as there is demand.
D. sell allowances to another firm that is above its limit of allowed pollution.
E. sell allowances to another firm that is below its limit of allowed pollution.

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If a market for tradable pollution allowances exists, a company that has used up its own allowances can buy allowances from another firm that is below its limit of allowed pollution.

The correct option is B. buy allowances from another firm that is below its limit of allowed pollution.What is a tradable pollution allowance?A tradable pollution allowance is a permit that allows a firm to produce a certain quantity of emissions. Allowances can be purchased, sold, or traded to the extent that they represent the right to release a specific amount of pollutants into the atmosphere.A company that surpasses its pollution limit can purchase allowances from other firms that have not used their allowance and are operating under their emission limit. Firms who do not require their entire allocation of allowances may sell the extra allowances to companies in need on a marketplace for tradable allowances.Therefore, if a market for tradable pollution allowances exists, a company that has used up its own allowances can buy allowances from another firm that is below its limit of allowed pollution.

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magine you are the CEO of Noodle Soup, a company that sells ramen noodles.
1) Give one example of each of Porter's five primary competitive forces in Noodle Soup’s environment.
2) Explain the possible impacts of each to Noodle Soup.
3) Identify three possible Compliments that Noodle Soup could offer its customers.

Answers

Threat of new entrants: A new ramen noodle company enters the market and offers a wide variety of unique flavors and affordable prices, attracting customers away from Noodle Soup.

Bargaining power of buyers: Noodle Soup's main customer, a large supermarket chain, negotiates lower prices and better terms due to its size and buying power, putting pressure on Noodle Soup's profit margins. Bargaining power of suppliers: Noodle Soup heavily relies on a specific supplier for its key ingredient, noodles. The supplier increases prices, affecting Noodle Soup's production costs and profitability.

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Question 5 (2 points) U KNO, Inc. uses only debt and common equity funds to finance its assets. This past year the firm's return on total assets was 25%. The firm financed 21% percent of its assets using equity. What was the firm's return on common equity? (Round your answer to two decimal places and state it in percentage form.) O 70.45% 31.65% 119.05% 130.63% 28.40% Question 4 (2 points) A fire has destroyed a large percentage of the financial records of the Carter Company. You have the task of piecing together information in order to release a financial report. You have found the return on equity to be 26%. If sales were $83,000,000, the debt ratio was 35%, and total liabilities were $12,000,000, what would be the return on assets (ROA)? 7.58% O9.10% 18.65% 22.46% 16.90%

Answers

1. The firm's return on common equity is 119.05%. The correct answer is option C.

2. The return on assets will be 16.90% if the sales were $83,000,000, the debt ratio was 35%, and total liabilities were $12,000,000. The correct answer is option E.

1. Return on total assets = 25%

Equity is 21% of total assets

Debt is 79% of total assets

Return on common equity is to be calculated:

Formula to be used:

Return on assets = (Net income + [Interest × (1 − Tax rate)]) ÷ Average total assets

Return on common equity = Net income ÷ Average common equity

Let's assume that the firm has total assets of $100

Therefore, equity = 21% × $100 = $21Debt = 79% × $100 = $79

Given, return on total assets = 25%

Formula to calculate the net income:

ROA = Net income ÷ Total assets

25% = Net income ÷ $100

Net income = $25

Average total assets = (Beginning total assets + Ending total assets) ÷ 225% = Net income + (Interest × (1 − Tax rate)) ÷ ($100)25% × $100 = Net income + (Interest × (0.6))

Net income + Interest × (0.6) = $25

After this, return on common equity is calculated:

Return on common equity = Net income ÷ Average common equity

Return on common equity = $25 ÷ ($21) = 1.19 or 119.05%

Therefore, the firm's return on common equity is 119.05%.

Hence, option (c) is correct.

2. To calculate the Return on assets, we can use the following formula:

ROA = Net Income / Total Assets

However, the net income is not provided in the question. Instead, we are given the return on equity (ROE), sales, debt ratio, and total liabilities.

ROE = Net Income / Total Equity

We can rearrange the formula to solve for net income:

Net Income = ROE * Total Equity

Given:

ROE = 26%

Sales = $83,000,000

Debt Ratio = 35%

Total Liabilities = $12,000,000

To calculate the total equity, we need to find the total assets first. The debt ratio is the proportion of total assets financed by debt:

Debt Ratio = Total Liabilities / Total Assets

We can rearrange the formula to solve for total assets:

Total Assets = Total Liabilities / Debt Ratio

Total Assets = $12,000,000 / 0.35 = $34,285,714.29

Now we can calculate the total equity:

Total Equity = Total Assets - Total Liabilities

Total Equity = $34,285,714.29 - $12,000,000

Total Equity = $22,285,714.29

Substituting the values into the net income formula:

Net Income = 0.26 * $22,285,714.29

Net Income = $5,794,285.71

Now we can calculate the return on assets (ROA):

ROA = Net Income / Total Assets

ROA = $5,794,285.71 / $34,285,714.29

ROA ≈ 0.169 ≈ 16.9%

Therefore, the return on assets (ROA) is approximately 16.9% i.e. option E.

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Pearl Products Limited of Shenzhen, China, manufactures and distributes toys throughout Southeast Asia. Three cubic centimeters (cc) of solvent H300 are required to manufacture each unit of Supermix, one of the company’s products. The company now is planning raw materials needs for the third quarter, the quarter in which peak sales of Supermix occur. To keep production and sales moving smoothly, the company has the following inventory requirements:
The finished goods inventory on hand at the end of each month must equal 3,000 units of Supermix plus 20% of the next month’s sales. The finished goods inventory on June 30 is budgeted to be 10,000 units.
The raw materials inventory on hand at the end of each month must equal one-half of the following month’s production needs for raw materials. The raw materials inventory on June 30 is budgeted to be 54,000 cc of solvent H300.
The company maintains no work in process inventories.

Answers

Pearl Products Limited should purchase 616,000 cc of solvent H300 during the third quarter to meet its production and inventory requirements.

The company's production of Supermix during the third quarter (July through September) is planned as follows:

Total production required (units) = 80,000 + 70,000 + 90,000 = 240,000

Supermix required (units) = 70% of total production = 168,000

One unit of Supermix requires 3 cc of solvent H300.

Total solvent H300 required = 168,000 x 3 cc = 504,000 cc

Therefore, the total solvent H300 required to produce Supermix is 504,000 cc for the third quarter.

The company has 54,000 cc of solvent H300 in inventory on June 30, so it will need to purchase 450,000 cc of solvent H300 during the quarter (504,000 - 54,000).

Let X = the total amount of solvent H300 to be purchased during July, August, and September.

The raw materials inventory on hand at the end of each month must equal one-half of the following month’s production needs for raw materials.

Thus, the inventory requirement for raw materials in July is one-half of the amount of solvent H300 required in August, or X/2.The inventory requirement for raw materials in August is one-half of the amount of solvent H300 required in September, or (X + 450,000)/2.The inventory requirement for raw materials in September is zero, since there is no need to carry over any raw materials to October. The raw materials inventory on hand at the end of June is budgeted to be 54,000 cc of solvent H300.

The inventory requirement equation can now be set up as follows:

July: 3,000 units + 20% of August sales - 80,000 units = X/2August: 3,000 units + 20% of September sales - 70,000 units = (X + 450,000)/2The total finished goods inventory required in September is 3,000 units + 20% of October sales. There is no need to include this requirement in the equation, however, since it will not be used in solving for X.Solving for X, we getX = 616,000 cc

Therefore, Pearl Products Limited should purchase 616,000 cc of solvent H300 during the third quarter to meet its production and inventory requirements.

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What is the nature of the agency problem in relation to football referees? What are its potential implications for football? Do you think the effects associated with this agency problem are sizeable? What policies are used to mitigate these effects?

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The agency problem refers to the conflict of interest between the principal (the football industry) and the agent (the football referee) due to the lack of full alignment of goals between the two parties.

The potential implications of the agency problem for football are that it can lead to biased refereeing decisions. For example, a referee may be more likely to favor a particular team or player due to factors such as personal preference, pressure from fans or players, or the promise of future employment opportunities. This can result in unfair outcomes for matches, which can damage the integrity of the sport. The effects associated with this agency problem are sizeable since the decisions of referees can have a significant impact on the outcome of a football match.

This can affect the performance of players, team morale, and the reputation of the sport. Policies used to mitigate the effects of the agency problem include implementing performance-based incentives for referees, such as bonuses for accurate decisions, having an independent oversight body to investigate any suspected cases of referee bias, and improving transparency in the recruitment process of referees. Additionally, providing training and development opportunities for referees can help them better understand their role and the importance of impartiality in decision-making.

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QUESTION 12 If a company's days sales in receivables is 32 days what is their receivables turnover?
O a. 12.25x
O b. 14.37x
O c. 11.41x
O d. 12.67x

Answers

The receivables turnover for a company with a days sales in receivables of 32 days is 11.41x.

Receivables turnover is a financial metric that measures how efficiently a company collects its accounts receivable. It is calculated by dividing net credit sales by average accounts receivable. In this case, since the days sales in receivables is given, we can use it to find the receivables turnover.

To calculate the receivables turnover, we first need to determine the average accounts receivable. Since the days sales in receivables is 32 days, we can assume it represents the average collection period. Therefore, we can calculate the average accounts receivable by multiplying the days sales in receivables by the average daily sales.

Let's say the average daily sales are X. So, the average accounts receivable would be 32 times X. To find X, we divide net credit sales by the number of days in the year. However, since we are given answer choices, we can directly calculate the receivables turnover by dividing 365 (or 360, depending on the company's accounting period) by the days sales in receivables.

In this case, dividing 365 by 32 gives us approximately 11.41x, which corresponds to option c. Therefore, the company's receivables turnover is 11.41x.

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Securitisation is used extensively in the US, as well as Europe and Asia. Some critics argue that it was a factor which triggered the Global Financial Crisis (GFC) in the late 2000s. Explain what the process of securitisation is.

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Securitization is a widely used financial process in the US, Europe, and Asia. However, critics argue that it played a role in triggering the Global Financial Crisis (GFC) in the late 2000s. Securitization involves transforming illiquid assets, such as mortgages or loans, into marketable securities.

Securitization is a financial process that involves transforming illiquid assets, such as mortgages, auto loans, or credit card debt, into tradable securities known as asset-backed securities (ABS). The process begins with an originating institution, such as a bank, that pools together similar assets and creates a securitized product.

Once the assets are pooled, the originating institution transfers ownership of the assets to a special purpose vehicle (SPV). The SPV issues the ABS, which represent claims on the cash flows generated by the underlying assets. These ABS are then sold to investors, providing the originating institution with immediate liquidity.

In securitization, the pooled assets are divided into different tranches, each with varying levels of risk and return. Tranches are structured based on the priority of cash flow distribution and the level of risk that investors are willing to take. Senior tranches have higher priority in receiving cash flows and lower risk, while junior or subordinate tranches have lower priority and higher risk.

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Growth Company's current share price is $20.25 and it is expected to pay a $1.25

dividend per share next year. After that, the firm's dividends are expected to grow at a rate of 4.2% per year.

a. What is an estimate of Growth Company's cost of equity?

b. Growth Company also has preferred stock outstanding that pays a $2.10

per share fixed dividend. If this stock is currently priced at $27.90,

what is Growth Company's cost of preferred stock?

c. Growth Company has existing debt issued three years ago with a coupon rate of 6.1%.

The firm just issued new debt at par with a coupon rate of 6.5%.

What is Growth Company's cost of debt?

d. Growth Company has 5.2 million common shares outstanding and 1.3

million preferred shares outstanding, and its equity has a total book value of $50.2

million. Its liabilities have a market value of $19.6 million. If Growth Company's common and preferred shares are priced as in parts (a) and (b),

what is the market value of Growth Company's assets?

e. Growth Company faces a 35% tax rate. Given the information in parts (a) through(d), and your answers to those problems, what is Growth Company's WACC?

Note: Assume that the firm will always be able to utilize its full interest tax shield.

Answers

a. The estimate of Growth Company's cost of equity is 10.37%.

b. The cost of preferred stock for Growth Company is 7.53%.

c. The cost of debt for Growth Company is not provided in the given information.

d. The market value of Growth Company's assets cannot be determined without additional information about the proportions of equity and liabilities in the capital structure.

e. The calculation of Growth Company's weighted average cost of capital (WACC) requires the cost of equity, cost of preferred stock, cost of debt, and the proportions of equity, preferred stock, and debt in the company's capital structure. Without the necessary information, the WACC cannot be calculated.

a. To estimate Growth Company's cost of equity, we can use the dividend discount model (DDM). The cost of equity is the required rate of return that investors expect to earn on the company's stock. The DDM formula is as follows:

Cost of Equity = (Dividend per Share / Current Share Price) + Growth Rate of Dividends

Plugging in the given values:

Cost of Equity = ($1.25 / $20.25) + 4.2%

b. The cost of preferred stock can be calculated using the formula:

Cost of Preferred Stock = Dividend per Share / Current Share Price

Plugging in the given values:

Cost of Preferred Stock = $2.10 / $27.90

c. The cost of debt can be calculated by considering the yield to maturity (YTM) of the existing debt and the new debt issued. The cost of debt is the yield or return required by investors for holding the company's debt.

d. To calculate the market value of Growth Company's assets, we need to sum the market values of its equity and liabilities. The market value of equity can be calculated by multiplying the share price by the number of shares outstanding, and the market value of liabilities is given as $19.6 million.

Market Value of Assets = Market Value of Equity + Market Value of Liabilities

e. The weighted average cost of capital (WACC) can be calculated by weighting the cost of equity, cost of preferred stock, and cost of debt by their respective proportions in the company's capital structure. The WACC formula is as follows:

WACC = (Equity Proportion * Cost of Equity) + (Preferred Stock Proportion * Cost of Preferred Stock) + (Debt Proportion * Cost of Debt) * (1 - Tax Rate)

Plugging in the given values and the calculated costs of equity, preferred stock, and debt, we can calculate the WACC for Growth Company.

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What restrictions do companies have in regards to their salaried employees?

Companies are not allowed to change the tasks given to salaried employees when they were first hired.
Companies are not allowed to have both salaried and hourly employees.
Companies are not allowed to change the employee’s pay based on hours worked.
Companies are not allowed to give their employees paid time off.

Answers

Companies have certain restrictions in regards to their salaried employees. One restriction is that they are not allowed to change the employee’s pay based on hours worked.

What are salaried employees?

Salaried employees are employees who receive a fixed annual or monthly salary in return for their work, regardless of the number of hours worked. Salaried employees are typically professional, administrative, or executive employees who are exempt from overtime pay and other wage and hour regulations.

The restrictions that companies have in regards to their salaried employees are as follows:

1. Companies are not allowed to change the employee’s pay based on hours worked. Salaried employees are paid a fixed amount regardless of the hours they work. This means that companies cannot reduce or increase the employee's pay based on the number of hours worked.

2. Companies are not allowed to change the tasks given to salaried employees when they were first hired. Salaried employees are hired for a specific job, and companies cannot change their job duties without their consent.

3. Companies are not allowed to give their employees paid time off. Salaried employees are entitled to vacation and sick time, which is part of their compensation package. Companies cannot deny them this time off.

4. Companies are not allowed to have both salaried and hourly employees. A company cannot classify an employee as a salaried employee for some purposes and an hourly employee for others.

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Throughout this problem assume that for an industry aggregate demand is given by:
Q^D(p)=3375-125p
Also, each firm in the industry has a production function of f(L,K)=\sqrt {LK}.
Each firm has a short run capital stock of 100 units and r=9. Initially, w=2.
Suppose that a minimum wage law goes into effect and the wage rate changes to w=4.
(g.) Find the firm's short run supply function
(h.) Suppose there are 10 firms in the industry, find the aggregate supply function.
(i.) Using the aggregate demand function above, what is the new equilibrium price?
(j.) What is the new consumer surplus?
(k.) How much did equilibrium price increase due to the minimum wage law?

Answers

(g.) The firm's short-run supply function is L = 6.25.

(h.) The aggregate supply function is L = 62.5.

(i.) The new equilibrium price is p = 26.5.

(j.) The new consumer surplus can be calculated by evaluating the integral of [3348.5p - (125p²)/2] from the equilibrium price to the quantity demanded at that price.

(k.) The increase in equilibrium price due to the minimum wage law can be found by comparing the initial equilibrium price (w = 2) with the new equilibrium price (w = 4).

(g.) To find the firm's short-run supply function, we need to determine the firm's optimal level of labor input, given the wage rate and the fixed capital stock.

The firm's short-run cost function is given by C(w, r, L, K) = wL + rK. Since the capital stock is fixed at K = 100 units and the wage rate changes to w = 4, the cost function becomes C(4, 9, L, 100) = 4L + 9(100) = 4L + 900.

To maximize profits, the firm will choose the level of labor input that minimizes its cost for a given level of output. Since the production function is f(L, K) = √(LK), we can set the derivative of the cost function with respect to labor equal to the derivative of the production function with respect to labor and solve for L.

dC/dL = 4

d[f(L, 100)]/dL = √(100/L)

Setting these derivatives equal to each other:

4 = √(100/L)

Squaring both sides and solving for L:

16 = 100/L

L = 100/16

L = 6.25

Therefore, the firm's short-run supply function is L = 6.25.

(h.) If there are 10 firms in the industry, the aggregate supply function is obtained by summing the individual firm supply functions. Since each firm's short-run supply is L = 6.25, the aggregate supply function is given by L = 10 * 6.25 = 62.5.

(i.) To find the new equilibrium price, we equate the aggregate supply function with the aggregate demand function and solve for p.

3375 - 125p = 62.5

-125p = 62.5 - 3375

-125p = -3312.5

p = -3312.5 / -125

p = 26.5

Therefore, the new equilibrium price is p = 26.5.

(j.) To calculate the new consumer surplus, we need to find the area under the demand curve ([tex]Q^{D}[/tex](p)) above the equilibrium price (26.5) and up to the quantity demanded at that price.

Consumer surplus = ∫[Q^D(p) - 26.5]dp (integrating from the equilibrium price to the quantity demanded at that price)

∫[3375 - 125p - 26.5]dp = ∫[3348.5 - 125p]dp = [3348.5p - (125p²)/2] evaluated from the equilibrium price to the quantity demanded at that price.

Substituting the equilibrium price into the consumer surplus formula will give the specific value.

(k.) To find the increase in equilibrium price due to the minimum wage law, we compare the initial equilibrium price (wage rate w = 2) with the new equilibrium price (wage rate w = 4). The increase in equilibrium price is the difference between the two prices.

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8. Is the following statement correct, wrong or partially correc? Why? "If the volatility of Stock A is higher than that of Stock B, the expected return of Stock A should be higher than that of Stock

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The statement "If the volatility of Stock A is higher than that of Stock B, the expected return of Stock A should be higher than that of Stock B" is incorrect.

Volatility is a statistical term that refers to the likelihood of a stock or other security to rise or fall sharply in a short period of time. It is typically measured by the standard deviation of the asset's returns over a certain period of time. A highly volatile asset will have a large standard deviation and vice versa.

The expected return on an investment is the estimated rate of return that an investor would expect to receive from the investment over a certain period of time. It is calculated by taking into account the probability of various possible returns and their associated probabilities.What is the relationship between volatility and expected return?There is no direct relationship between volatility and expected return. Investors may assume that a high-risk investment with high volatility will have higher returns than a low-risk investment with low volatility. However, this is not always the case. In reality, the relationship between volatility and expected return is dependent on many factors, including the asset class, investment strategy, and individual investor risk tolerance.

Conclusion: Therefore, the statement "If the volatility of Stock A is higher than that of Stock B, the expected return of Stock A should be higher than that of Stock B" is incorrect because there is no direct relationship between volatility and expected return.

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At the beginning of the period, the Assembly Department budgeted direct labor of $123,500 and property tax of $14,700 for 6,500 hours of production. The department actually completed 7,200 hours of production. Determine the budget for the department, assuming that it uses flexible budgeting.

Answers

The budget for the department is $291,272 assuming that it uses flexible budgeting.

Flexible budgeting is a budgeting technique where different levels of production are taken into account and a corresponding budget is established for each of them. It helps in providing insight into the performance of the firm. The steps involved in preparing a flexible budget are listed below:

Step 1: Identify the variable and fixed costs of production

Step 2: Determine the expected levels of production.

Step 3: Calculate the total cost for each level of production.

Step 4: Compare the actual production levels with the expected levels of production.

This gives an insight into the performance of the department. Here, given the direct labor of $123,500, property tax of $14,700 for 6,500 hours of production. It is also given that the department actually completed 7,200 hours of production. We need to determine the budget for the department using flexible budgeting.Using flexible budgeting, we can calculate the budget of the Assembly Department as follows:

The variable cost per hour can be calculated asVariable cost per hour = Total Variable Cost / Number of hours= Direct labor + Property tax / Number of hours= ($123,500 + $14,700) / 6,500 hours= $138,200 / 6,500 hours= $21.26 per hourTherefore, the variable cost for 7,200 hours of production would beVariable cost = Variable cost per hour * Number of hours= $21.26 * 7,200= $153,072.

Now, we can calculate the flexible budget for the Assembly Department as follows:

Flexible Budget = Fixed Cost + Variable Cost= $138,200 + $153,072= $291,272. Therefore, the budget for the department is $291,272 assuming that it uses flexible budgeting.

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I am in my account and the answers to chapter 9 homework do not
appear, and as I said before the answers to the following questions
do not appear separately:
6. Why defer revenues?
9. Describe the new

Answers

You need to defer revenues to ensure that it is recorded in the correct and most appropriate accounting period.

Methods to add a new accounts include Inline Account Creation, Quick Account Creation and Account Lookup & Creation

What are the advantages of deferring revenues?

The advantages of deferring revenues is that it allows recognition of revenue at a later period because it promotes the establishment of expenses in an appropriate period.

By deferring revenues, a company can better organize its accounting skills and become more efficient in meeting its fiscal and economic obligations.

In this case, the company can also have a better view of its expenses and the dates of payment, and the declaration of possible taxes, among other elements.

Method to add a new account from within a journal entry

Some new methods to add a new account from within a journal entry are:

Inline Account CreationQuick Account CreationAccount Lookup and Creation

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Question

6. Why defer revenues?

9. Describe the new method you learned in this chapter to add a new account from within a journal entry.

Revise using Plain Language Principles
Please be advised that excessive booing during the screening of Dr. Doolittle will result in ejection from the theater without a refund for the purchase price of the tickets that you purchased.

Answers

Using Plain Language Principles, we have, "Excessive booing during the screening of Dr. Doolittle will lead to being removed from the theater without a ticket refund."

If there is an excessive amount of booing during the screening of Dr. Doolittle, we want to inform you that as a consequence, you will be asked to leave the theater. It is important to note that if this happens, you will not be eligible for a refund for the tickets you purchased.

This revised version aims to use plain language principles to convey the message in a clear and straightforward manner. By avoiding complex or technical language, it ensures that the information is easily understood by a wide range of individuals.

The revised statement eliminates unnecessary wording and simplifies the structure of the sentence, making it more concise and easier to comprehend.

The intention of the message is to inform the audience that disruptive behavior, specifically excessive booing, during the movie screening is not tolerated. If someone engages in such behavior, they will be asked to leave the theater.

Additionally, it emphasizes that in such a scenario, the individual will not receive a refund for their ticket purchase.

Using plain language principles helps to ensure effective communication, reduce ambiguity, and promote understanding among the audience. It is particularly valuable in situations where clarity and simplicity are essential for conveying rules, regulations, or instructions.

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E-Eyes.com has a new issue of preferred stock it calls 20/20 preferred. The stock will pay a $20 dividend per year, but the first dividend will not be paid until 20 years from today. If you require a return of 9.5 percent on this stock, how much should you pay today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current stock price

Answers

To calculate the current stock price of the 20/20 preferred stock, we need to determine the present value of the future dividends.

Given:

Dividend per year = $20

Return required = 9.5%

First dividend payment in 20 years

We can use the formula for the present value of a growing perpetuity to calculate the current stock price:

PV = D / (r - g)

Where PV is the present value, D is the dividend per year, r is the required return, and g is the growth rate of dividends.

In this case, the growth rate of dividends is zero because the dividend amount remains constant. Therefore, the formula simplifies to:

PV = D / r

Plugging in the values:

PV = $20 / 0.095

PV = $210.53

Therefore, the current stock price for the 20/20 preferred stock should be approximately $210.53.

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T/F: Cost cutting can be approached from the across-the-board or
selective cuts perspectives.
T/F: A born global firm is a firm in which an organization
chooses to go international from founding.

Answers

The given statement "Cost cutting can be approached from the across-the-board or selective cuts perspectives" is True. The given statement "A born global firm is a firm in which an organization chooses to go international from founding" is True.

Cost-cutting is the method of minimizing a firm's costs. This can be accomplished through a variety of methods, including reviewing business procedures, reorganizing, or layoffs. Companies may use either a selective or an across-the-board approach when it comes to cutting costs. Across-the-board cuts are typically cuts that apply to all departments and workers, whereas selective cuts are more tailored and affect only certain areas or individuals.

A born global firm is a firm in which an organization chooses to go international from founding. This statement is true. A born-global firm is a type of company that begins operating on a global scale right away. They are defined as businesses that are international from the beginning, that is, they start out with the intent of serving global markets from the beginning of their life cycle. Born-global firms are thought to have several unique characteristics that differentiate them from traditional global businesses.

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Which of the following statements regarding the development and implementation of a social media marketing campaign is true? Multiple Choice Social media marketing campaigns do not need to identify a target audience since social media is widely available to all consumers. A social media marketing campaign should be run independently of a firm's traditional IMC tactics. Budgets developed for a social media marketing campaign do not require constant monitoring like traditional campaigns do. At this time, there are no concrete ways to accurately monitor a social media campaign's effectiveness. The images and messages used in a social media marketing campaign need to be updated aimost constantly.

Answers

The statement that is true regarding the development and implementation of a social media marketing campaign is: The images and messages used in a social media marketing campaign need to be updated almost constantly.

The development and implementation of a social media marketing campaign have several considerations to take care of. Social media marketing campaigns are aimed to promote a product or service and attract new customers. A successful social media marketing campaign needs to focus on many elements such as identifying a target audience, running campaigns in conjunction with the firm's traditional IMC tactics, constant monitoring of the budget, accurately monitor the effectiveness, and updating the images and messages used in the campaign.

Social media marketing campaigns should be run in conjunction with a firm's traditional IMC tactics. Identifying a target audience is critical to any marketing campaign. Budgets developed for a social media marketing campaign require constant monitoring like traditional campaigns do. There are many ways to accurately monitor a social media campaign's effectiveness, for example, the number of likes, shares, and comments.

The images and messages used in a social media marketing campaign need to be updated almost constantly. Social media is continuously changing, so it is essential to keep up with the trends and ensure that the messages and images used in the campaign are up-to-date. Thus, the statement that is true regarding the development and implementation of a social media marketing campaign is: The images and messages used in a social media marketing campaign need to be updated almost constantly.

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Final answer:

In this question, the statement that 'The images and messages used in a social media marketing campaign need to be updated almost constantly' is true and the rest are false. A social media marketing campaign does require identification of a target audience, integration with traditional marketing methods and constant monitoring of budgets. There are also concrete ways to accurately monitor its effectiveness.

Explanation:

The statement in your question that 'The images and messages used in a social media marketing campaign need to be updated almost constantly' is true. Successful social media marketing requires ensuring engagement and relevance, which often necessitates frequent updates.Social media marketing is a dynamic field that depends on keeping up with trends, engaging audiences effectively and adapting to the rapidly changing preferences and interests of the target audience. Hence, it's crucial for a firm's message and imagery on its social media profiles to be regularly updated and refreshed, so as to maintain the attention of the audience and achieve the firm's marketing goals.

Contrary to the other statements, a social media marketing campaign certainly needs to identify a target audience, just as traditional marketing campaigns do. The aim is to deliver tailor-made content that can grab the interest of, and are relevant to, the selected group of consumers. Furthermore, a social media campaign should not be independent of all other traditional integrated marketing communications (IMC) tactics, but should rather be a part of it. Every marketing method, regardless of being traditional or digital, should be synergistic to maximize marketing effectiveness.

Moreover, budgeting for social media campaigns does need constant monitoring like traditional campaigns, as return on investment (ROI) is crucial to consider in marketing. Social media can provide a massive base of audience, however, reaching the right audience effectively often requires strategic spending (i.e., investing in paid promotions, influencers, or advertisements).

There are definitely valid methods to accurately measure a social media marketing campaign's effectiveness. Metrics such as reach, impressions, engagements (likes, shares, comments), conversions, etc., are widely used to evaluate the success of campaign. However, the data from these should be interpreted carefully to draw meaningful conclusions.

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please hurry its timed!!
How much time will be needed for $27,000 to grow to $28,940.19 if deposited at 7% compounded quarterly?

Answers

It will take approximately 3.5 years for the $27,000 investment to grow to $28,940.19 with a 7% interest rate compounded quarterly.

To calculate the time needed for an investment to grow, we can use the formula for compound interest:

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

Where:

A = the future value of the investment

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the time period in years

In this case, we have:

P = $27,000

A = $28,940.19

r = 7% or 0.07 (as a decimal)

n = 4 (quarterly compounding)

We need to solve for t. Let's rearrange the formula and solve for t:

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

(1 + 0.07/4)^(4t) = 28,940.19/27,000

(1.0175)^(4t) = 1.07038

Taking the natural logarithm of both sides to solve for t:

4t * ln(1.0175) = ln(1.07038)

t = ln(1.07038) / (4 * ln(1.0175))

Using a calculator, we find that t is approximately 3.5 years.

Therefore, it will take approximately 3.5 years for the $27,000 investment to grow to $28,940.19 with a 7% interest rate compounded quarterly.

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Suppose that as the output of mobile phones increases, the cost of touch screens and other component parts decreases. If the mobile phone industry is purely competitive, we would expect the long run supply curve for mobile phones to be a U-shaped b downward sloping c upward sloping d horizontal

Answers

In a purely competitive mobile phone industry, we would expect the long-run supply curve for mobile phones to be c) upward sloping.

In a purely competitive market, the long-run supply curve is determined by the cost of production. As the output of mobile phones increases, the cost of touch screens and other component parts decreases due to economies of scale and technological advancements. This leads to a lower cost of production and enables firms to supply more mobile phones at a given price. Consequently, the long-run supply curve for mobile phones would be upward sloping, indicating that as the price of mobile phones increases, firms are willing to supply a greater quantity in the long run due to lower production costs.

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Question- Research -Successful and Unsuccessful Product Launch - minimum 2 pages, no maximum. Brief product descriptions, company descriptions, detailed explanation of
situation and why product succeeded/failed. What can you learn from both of these examples?

Answers

The Title of the Research is: Successful and Unsuccessful Product Launch: Lessons Learned

What is the Research?

Introduction: Product launches are crucial for companies, offering potential growth and increased profits. Not all launches succeed.

Apple iPhone revolutionized mobile industry by successful 2007 launch. It merged touch screen, internet, and multimedia into one device. The iPhone had a seamless user experience, innovative features like the App Store and multi-touch gestures.

Apple prioritizes design, user experience, and ecosystem to build a loyal customer base. Market demand for multi-functional device identified by Apple.

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identify one or more management, leadership, or governance skills that might assist you, as public health professional and manager, with choosing a response and implementing it effectively at the different levels?

Answers

As a public health professional and manager, there are several management, leadership, and governance skills that can assist you in choosing a response and implementing it effectively at different levels.

Here are a few examples:

Strategic thinking: The ability to think strategically is crucial for public health professionals and managers when deciding on the appropriate response to a public health crisis. This skill involves being able to assess the situation, identify potential challenges and opportunities, and develop a clear plan of action.

Communication: Effective communication is critical when implementing a response plan at different levels. This skill involves being able to communicate clearly and concisely with stakeholders, including government officials, healthcare providers, community leaders, and the general public.

Collaboration: Collaboration is essential when implementing a response plan across various levels. This skill involves working closely with other organizations, agencies, and stakeholders to ensure that the response plan is comprehensive, coordinated, and effective.

Decision-making: Public health professionals and managers must be able to make difficult decisions quickly and effectively during a crisis. This skill involves assessing available information, weighing the risks and benefits of different options, and making informed decisions based on the available data.

Leadership: Strong leadership is crucial when implementing a response plan across different levels. This skill involves inspiring and motivating others to work towards a common goal, providing guidance and direction, and modeling behavior that aligns with the values of the organization.

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Verification has been mentioned in clause 7.1.5.2 and in clause 8.3 with very different connotation
Explain the usage in each clause

Answers

Verification is a term that has been mentioned in clause 7.1.5.2 and in clause 8.3 with very different connotations.

Clause 7.1.5.2: This clause refers to the requirement of establishing criteria for reviewing and evaluating the design, development, and production stages of the product. Here, verification is used to confirm whether the requirements specified in the previous stage have been met or not.

This clause refers to the process of ensuring that the product conforms to the requirements that have been established in the earlier stages of the product development process.Clause 8.3: This clause refers to the requirement of establishing, implementing, and maintaining procedures for the control of non-conforming product.

Here, verification is used to ensure that the product that has been rejected during the inspection process has been corrected or reworked according to the specifications or requirements established in the previous stage.

The purpose of this clause is to ensure that non-conforming products do not reach the customers or users.Verification is, therefore, used in different connotations in each clause.

In clause 7.1.5.2, it is used to confirm whether the requirements specified in the previous stage have been met or not. In clause 8.3, it is used to ensure that non-conforming products do not reach the customers or users.

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Solve for the amount of discount and amount
due.
Invoice amount: $44.81
Invoice date: May 6
Terms: 2/10, net 30
Date paid: May 15

Answers

Based on the details regarding the invoice, the amount of discount and the amount due is $0.8962 and $43.9138 respectively.

According to the question, invoice amount = $44.81, Terms = 2/10, net 30, Discount = 2%, Discount period = 10 days, Net period = 30 days, Invoice date = May 6, Paid date = May 15

To solve for the amount of discount and amount due, first, we need to find out the discount period end date, which is May 16th because the discount period starts from the invoice date. So, within the discount period, we need to find the due date to avail the discount, which is May 16 + 10 days = May 26th.

If the payment is made on or before May 26th, the customer is eligible for the discount. Now we need to calculate the amount of discount:

Amount of discount = Invoice amount x Discount rate% = $44.81 x 2% = $0.8962

Amount due = Invoice amount - Amount of discount = $44.81 - $0.8962 = $43.9138

Therefore, the amount of discount is $0.8962 and the amount due is $43.9138.

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ou are evaluating a potential investment in equipment. The equipment's basic price is $138,000, and shipping costs will be $4,100. It will cost another $20,700 to modify it for special use by your firm, and an additional $6,900 to install it. The equipment falls in the MACRS 3-year class that allows depreciation of 33% the first year, 45% the second year, 15% the third year, and 7% the fourth year. You expect to sell the equipment for 22,100 at the end of three years. The equipment is expected to generate revenues of $131,000 per year with annual operating costs of $67,000. The firm's marginal tax rate is 25.0%. What is the initial outlay for the project? O $147,600 O $138,000 O $149,000 O $158,700 O $169,700

Answers

To calculate the initial outlay for the project, we need to consider all the relevant costs and cash flows associated with acquiring and installing the equipment.

The initial outlay includes:

Basic price of the equipment: $138,000

Shipping costs: $4,100

Modification costs: $20,700

Installation costs: $6,900

Therefore, the initial outlay for the project is:

$138,000 + $4,100 + $20,700 + $6,900 = $169,700

So, the correct answer is: O $169,700.

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Carson Trucking is considering whether to expand its regional service center in Mohab, UT. The expansion requires the expenditure of $11,000,000 on new service equipment and would generate annual net cash inflows from reduced costs of operations equal to $4,000,000 per year for each of the next 9 years. In year 9 the firm will also get back a cash flow equal to the salvage value of the equipment, which is valued at $1.1 million. Thus, in year 9 the investment cash inflow totals $5,100,000. Calculate the project's NPV using a discount rate of 10 percent.
If the discount rate is 10 percent, then the project's NPV is

Answers

The project's NPV, when calculated using a discount rate of 10 percent, is $3,674,178.

To calculate the NPV, we need to discount each year's cash inflow to its present value and then sum them up. Here's the calculation:

Year 1: $4,000,000 / (1 + 0.10)^1 = $3,636,364.

Year 2: $4,000,000 / (1 + 0.10)^2 = $3,305,785.

Year 3: $4,000,000 / (1 + 0.10)^3 = $3,005,259.

Year 4: $4,000,000 / (1 + 0.10)^4 = $2,731,145.

Year 5: $4,000,000 / (1 + 0.10)^5 = $2,480,132.

Year 6: $4,000,000 / (1 + 0.10)^6 = $2,250,120.

Year 7: $4,000,000 / (1 + 0.10)^7 = $2,039,200.

Year 8: $4,000,000 / (1 + 0.10)^8 = $1,845,636.

Year 9: $5,100,000 / (1 + 0.10)^9 = $2,048,821.

Now, we sum up all the present values of cash inflows and subtract the initial investment:

NPV = ($3,636,364 + $3,305,785 + $3,005,259 + $2,731,145 + $2,480,132 + $2,250,120 + $2,039,200 + $1,845,636 + $2,048,821) - $11,000,000

= $27,342,462 - $11,000,000

= $16,342,462.

Hence, the project's NPV, with a discount rate of 10 percent, is $16,342,462.

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Company X distributed a dividend today worth €2 per share. If the required return on investors for this company is 5% and has a steady expected dividend growth rate of 2%, what is the share price today?

Answers

A steady expected dividend growth rate is a measure of how fast a company can increase the amount of dividends paid to shareholders over time.

The growth rate is a percentage value that reflects the percentage increase in dividends each year. A company's share price can be calculated using the required rate of return and the expected dividend growth rate. The formula for calculating the current share price is as follows:P0

= D1 / (r-g)Where:P0

= current share priced1

= expected dividend in the next periodr

= required rate of returng

= expected dividend growth rateThe dividend today, which is D0, is €2 per share. The expected dividend growth rate is 2%, and the required rate of return on investors is 5%. Therefore, the expected dividend for the next period, D1, is €2.02.Using the formula above, the current share price can be calculated as follows:P0 = €2.02 / (0.05 - 0.02)P0 = €2.02 / 0.03P0 = €67.33Therefore, the current share price of the Company X is €67.33.

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fire fly company just paid a dividend of $15 per share but the management expects to reduce the payout by 5% per year indefinitely.if you require a return of 10% on this stock. what will you pay for a share today?

Answers

Based on the dividend reduction rate of 5% per year indefinitely and a required return of 10%, the value you would pay for a share today would be approximately $150.

To determine the price you would be willing to pay for a share of Fire Fly stock today, we can use the concept of a perpetuity, which is a stream of cash flows that continues indefinitely. In this case, the dividend payment is expected to decrease by 5% per year indefinitely.

The price you would be willing to pay for a share today can be calculated by dividing the expected dividend payment by the required return. In this scenario, the dividend payment is $15 per share, and the required return is 10%.

Using the formula for the present value of a perpetuity, we can calculate the price as follows:

Price = Dividend payment / Required return

Price = $15 / 0.10

By dividing $15 by 0.10, we find that the price you would be willing to pay for a share today is $150.

Therefore, if you require a 10% return on the Fire Fly stock and the company is expected to reduce its dividend payout by 5% per year indefinitely, the price you would be willing to pay for a share today is $150.

To determine the price you would be willing to pay for a share of Fire Fly stock today, we need to consider the future cash flows in the form of dividends. The company has just paid a dividend of $15 per share. However, the management expects to reduce the dividend payout by 5% per year indefinitely. This means that the dividend payment in future years will be 5% less than the previous year.

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What does 'horse' stand for in Sonny's blues?(I was sure that the first time Sonny had ever had horse, hecouldn't have been much older than these boys were now.) in addition to the development of the neurofibromas, what is the prominent clinical manifestation seen with a patient with von recklinghausen disease? group of answer choices Events such as the "bankruptcy" of Yukos, which was a major energy company in Russia, by the Russian government in 2006 and the nationalization of assets owned by multinational companies by the Venezuelangovernment in 2007 are examples of: A. Exchange rate risksO B. Equity premium C. Expanded opportunity risksO D. Political risks When the mature ovum leaves the ovary, it is caught by theA. Fallopian tubeB. CervixC. VaginaD. Uterus Dalmatian Fund is a hedge fund with a value of 100 million at the beginning of the year. Dalmatian Fund charges 1.5% management fee based on assets under management at the end of the year and a 25% incentive fee with no hurdle rate. Incentive fees calculate independent of management fees. The fund's value at the end of year before fees is 120 million. Compared to a 2 and 20 fee structure, Dalmatian Fund's total fees for the year are: A) higher. B) lower. C) the same. ANSWER THIS QUESTION BRIEFLY INCLUDE ALL THE NECESSARYINFORMATION REQUIRED THIS IS A 10 MARKS QUESTION IT IS A BITURGENTIn a country there are 4 types of individuals The utility function of the ith type is given by: U (xG) = x + i * ln G; i = 1, 2, 3, 4 where, x denotes the private good consumed by each cit how should an arterial blood gas sample in a syringe be mixed The buyer of a good has less information than the seller of the good. This is a case of a. asymmetric information. b. biased information. c. externality information. d. a public good not being a private good. e. free ridership. Over the last four years, the common stock of Cars Corporation has had an arithmetic average return of 8.1 percent. Three of those four years produced returns of 17.4 percent, 9.6 percent, and 2.5 percent. What is the geometric average return for this 4-year period? None of the answers is correct. 7.93 percent 9.40 percent O 7.31 percent 9.83 percent My Brand of Coffee or Tim Hortons?Discussion Question: If you wanted to startyour own coffee shop, will you gowithcreating your own brand or will yourather go for an already knownfranchise (say Tim Hortons)? Briefly discusswhy. a dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. find the following probability. (enter your probability as a fraction.) the number on the upward face is not 2. Can you solve the assignment:A = 20B = 351Note: Post the answer as a picture please. 1) a. A random variable X has the following probability distribution: X 0x 5x B 10 XB 15 x B 20 x B 25 x B P(X = x) = 0.1 2n 0.2 0.1 0.04 0.07 a. b. Find the value of n. Find the mean/expected value E(x), variance V(x) and standard deviation of the given probability distribution. Find E(-4A x + 3) and V(6B x 7) C. 3) An electronic company produces keyboards for the computers whose life follows a normal distribution, with mean (150 + B) months and standard deviation (20 + B) months. If we choose a hard disc at random what is the probability that its lifetime will be Less than 120 months? b. More than 160 months? C. Between 100 and 130 months?4) a. Engineers in an electric power company observed that they faced an average of (10 + B) issues per month. Assume the standard deviation is 8. A random sample of 36 months was chosen. Find the 95% confidence interval of population mean. (15 Marks) b. A research of (7 + A) students shows that the 8 years as standard deviation of their ages. Assume the variable is normally distributed. Find the 90% confidence interval for the variance. 5) A mean weight of 500 sample cars found (1000 + B) Kg. Can it be reasonably regarded as a sample from a large population of cars with mean weight 1500 kg and standard deviation 130 Kg? Test at 5% level of significance. 2) A smart phone manufacturing factory noticed that B% smart phones are defective. If 10 smart phone are selected at random, what is the probability of getting a. Exactly 5 are defective.b. At most 3 are defective.