The calculated value of $16,989,790 for the equity's annual cash flow after Tranche A has been fully repaid does not match any of the options provided, and it is recommended to double-check the information and data used for the calculation.
What is the method to calculate the equity's annual cash flow after Tranche A has been fully repaid?To determine the equity's annual cash flow in the year immediately after Tranche A has been fully repaid, follow these steps:
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a diversification strategy can create value through two types of financial economies: efficient internal capital allocations and purchasing other corporations and restructuring their assets. true or false
The given statement "a diversification strategy can create value through two types of financial economies: efficient internal capital allocations and purchasing other corporations and restructuring their assets" is true because a diversification strategy involves spreading capital and investments across various assets, industries, and companies to reduce risk and increase potential returns.
It can create value in two ways:
1. Efficient internal capital allocations: By allocating capital efficiently within the organization, the company can ensure that each business unit or investment is adequately funded, thereby improving overall performance and generating higher returns.
2. Purchasing other corporations and restructuring their assets: Acquiring and restructuring other corporations allows a company to unlock value by optimizing their operations, assets, and management. This can lead to increased profitability and growth, ultimately creating value for the parent company.
In conclusion, a diversification strategy can indeed create value through both efficient internal capital allocations and purchasing other corporations and restructuring their assets.
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Hahn Manufacturing is expected to pay a dividend of $1.00 per share at the end of this year. The stock currently sells for $45 per share, and its required rate of return is 11%. The dividend is expect to grow at a constant rate, g, forever. What is Hahn's expected growth rate?
a. 8.50%
b. 9.50%
c.10.00%
d. 8.00%
e.9.00%
Hahn's expected growth rate (g) is (b) 9.50%. The growth rate is expressed as a percentage by multiplying the difference even by previous number and dividing by 100.
What do you mean by expected growth rate?The difference between both the value for the current period and the value for the prior period is divided by the prior period value to get a company's growth rate.
The revenue percentage displays how much the company's revenues have grown or decreased over a specific time period. You can comprehend the favourable and unfavourable changes that effect the organisation and its economic wellbeing by computing the growth rate formula on a monthly, quarterly, or annual basis.
Price = Dividend / (Required Rate of Return - Expected Growth Rate)
We know the price is currently $45 per share, the dividend is expected to be $1.00 per share, and the required rate of return is 11%. Plugging in these values, we get:
$45 = $1 / (0.11 - g)
Simplifying this equation, we get:
g = 0.095, or 9.5%
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all of the following are costs of inflation, except a. money neutrality. b. menu costs. c. shoe-leather costs. d. redistribution of wealth.
Inflation has five costs: menu prices, shoe-leather expenses, relative pricing fluctuation, tax distortions, and inconvenience and confusion. Hence (a) is the correct option.
Inflation has a number of negative effects, including the potential for reduced investment and slower economic growth due to volatility and uncertainty. Because many people believe it to be a serious economic issue, inflation is a subject that generates a lot of debate. Inflation can reduce an individual's savings value and shift income away from savers and towards lenders and those with assets in society.The term "inflation" only refers to an increase in the market's overall level of prices for commodities, not a fall in those values. Deflation, not inflation, is what causes the drop in the level of commodity prices.
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Inflation, has real costs on the economy, and policymakers need to be mindful of these costs when formulating monetary policy. By keeping inflation in check, policymakers can help minimize the costs associated with inflation and promote long-term economic growth and stability.The correct answer is option (a) - money neutrality.
Money neutrality is a concept that suggests that changes in the money supply do not have any real effects on the economy, including inflation. In other words, money neutrality implies that changes in the money supply will only result in proportional changes in prices, leaving output and employment unaffected.On the other hand, menu costs, shoe-leather costs, and redistribution of wealth are all costs of inflation.
Menu costs refer to the cost that firms incur in changing their prices due to inflation, such as the costs associated with printing new menus, catalogs, and price lists. Shoe-leather costs refer to the cost that individuals incur when they reduce their money balances to avoid the inflation tax, such as the cost of time and effort spent on frequent trips to the bank or ATM. Finally, inflation also leads to the redistribution of wealth from lenders to borrowers, as inflation reduces the real value of the money borrowed, and increases the real value of the money lent.The correct answer is option (a) - money neutrality.
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the change in disposable income is $200 and the change in saving is $40. what is the marginal propensity to consume (mpc)?
The Marginal Propensity to Consume (MPC) in this case is 0.8.
The Marginal Propensity to Consume (MPC) can be calculated using the formula:
MPC = Change in Consumption / Change in Disposable Income
In your case, the change in disposable income is $200, and the change in saving is $40. To find the change in consumption, subtract the change in saving from the change in disposable income:
Change in Consumption = Change in Disposable Income - Change in Saving
Change in Consumption = $200 - $40
Change in Consumption = $160
Now, you can calculate the MPC:
MPC = Change in Consumption / Change in Disposable Income
MPC = $160 / $200
MPC = 0.8
The Marginal Propensity to Consume (MPC) in this case is 0.8.
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Suppose world described by 1-factor model (F), and we have 2 following securities ra= -0.050 – 1.2F + EA TB = 0.050 +0.8F+EB a. [2pts] What are the weights on each security A and B if we want to track the asset that has a loading of 0.5 on factor F? b. [3pts] What is the expected risk-free rate in this world? (Hint: construct the tracking portfolio that has zero loading on factor F) 1 c. [3pts] What is the expected return of factor F? (Hint: construct the tracking portfolio that has a loading of 1 on factor F) d. [1pt] Is there any arbitrage opportunity if expected return on asset, that has a loading of 0.5 on factor F, is 4.50%?
If the expected securities risk-free rate is less than 4.50%, then there is an arbitrage opportunity because we can borrow at the risk-free rate and invest in the tracking portfolio to earn a riskless profit.
If the expected risk-free rate is greater than 4.50%, then there is no arbitrage opportunity. If the expected risk-free rate is exactly 4.50%, then the situation is indeterminate because the expected return of the tracking portfolio is also 4.50%.
a. To track the asset that has a loading of 0.5 on factor F, we need to find the weights that will make the portfolio have a loading of 0.5 on factor F. Let x be the weight on security A and (1-x) be the weight on security B. The portfolio's factor loading is then:
0.5 = 0.5(-1.2x + 0.8(1-x))
0.5 = -0.6x + 0.4
0.1 = x
Therefore, the weights on securities A and B are 0.1 and 0.9, respectively.
b. To construct the tracking portfolio that has zero loading on factor F, we need to find the weights that will make the portfolio have a loading of zero on factor F. Let y be the weight on security A and (1-y) be the weight on security B. The portfolio's factor loading is then:
0 = -1.2y + 0.8(1-y)
0 = -0.4y + 0.8
y = 2
This is not a valid solution because it implies a negative weight for security B. Therefore, there is no portfolio that has zero loading on factor F.
c. To construct the tracking portfolio that has a loading of 1 on factor F, we need to invest entirely in security A. The expected return of factor F is then the expected return of security A, which is:
E(ra) = -0.050 - 1.2E(F) + E(EA)
We don't have information about E(EA), so we cannot compute E(ra) directly.
d. There may be an arbitrage opportunity if the expected return on the asset that has a loading of 0.5 on factor F is 4.50%, depending on the risk-free rate in this world. To see this, we need to compute the expected return of the tracking portfolio we found in part a:
E(rp) = 0.1E(ra) + 0.9E(rb)
E(rp) = 0.1(-0.050 - 1.2(0.5)) + 0.9(0.050 + 0.8(0.5) = 0.035
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question 6 is this statement true or false? democracy is a condition in which a digital product or service is preferred to its analog alternatives due to its ability to reduce access and exclude ordinary people by leveraging digital tools.
False. Democracy is a system of government in which power is held by the people, either directly or through elected representatives.
The conditions of democracy include freedom of assembly, property rights, voting rights, freedom of religion, freedom of speech, equality, citizenship, association, freedom from unwarranted governmental deprivation of the right to life and liberty, and minority right. It is not related to the preference for digital products or services over analog alternatives.
The important things which are necessary for democracy to work are the values of freedom, respect for human rights, and the principle of holding periodic and genuine elections by universal suffrage. are essential elements of democracy.
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a garden supply company is struggling to maintain sales and found through market research that consumers don't find their company and marketing particularly trustworthy. based on this, which type of marketing do you recommend they include in their imc plan?
A garden supply company must include content and influencer marketing in their IMC plan.
The business might invest in producing exceptional educational, and interesting content that informs customers about gardening and offers helpful hints, instructions, and resources. This might include of articles on the company's blog, videos, infographics, and social media updates that position the business as a reliable source of knowledge for the sector. The business may establish trust with customers and establish itself as an authority in the garden supply industry by offering quality information.
The company's credibility may be increased by collaborating with relevant bloggers or influencers in the gardening industry who have a large following and a solid reputation for reliability. Reviewing, praising, and endorsing the company's goods and services may assist these influencers gain the confidence of their audience and increase sales for the business. Thus, influencer marketing is also beneficial.
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Company X has decided to sell an asset for $100,000. It bought the asset for $200,000, and as of the time of sale, it had taken total accumulated depreciation charges of $50,000 on that asset. Assuming a tax rate of 30%, what is the after-tax cash flow on the sale of the asset? Multiple Choice O $115,000 O $100,000 O $85,000 O $50,000 O $150,000
The correct answer is option C: $85,000. To calculate the after-tax cash flow on the sale of the asset, we need to first determine the book value of the asset at the time of sale.
The book value is calculated by subtracting the accumulated depreciation charges from the original cost of the asset. In this case, the book value would be $150,000 ($200,000 - $50,000).
Next, we need to calculate the taxable gain, which is the difference between the sale price and the book value. In this case, the taxable gain would be $50,000 ($100,000 - $150,000).
Since the tax rate is 30%, the tax liability would be $15,000 ($50,000 x 0.30). Therefore, the after-tax cash flow on the sale of the asset would be $85,000 ($100,000 - $15,000).
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NPV and IRR Each of the following scenarios is independent. All cash flows are after-tax cash flows. The present value tables provided in Exhibit 198.1 and Exhibit 19B.2 must be used to solve the following problems. Required: 1. Patz Corporation is considering the purchase of a computer-aided manufacturing system. The cash benefits will be $830,000 per year. The system costs $4,488,000 and will last ten years. Compute the NPV assuming a discount rate of 12 percent. $ Should the company buy the new system? Yes ✓ 2. Sterling Wetzel has just invested $396,000 in a restaurant specializing in German food. He expects to receive $53,804 per year for the next ten years. His cost of capital is 5.40 percent. Compute the internal rate of return. Round your answers to whole percentage value (for example, 16% should be entered as "16" in the answer box). % Did Sterling make a good decision? (Yes х
The internal rate of return is approximately 5%. Since the IRR is close to Sterling's cost of capital (5.40%), the decision to invest in the restaurant is marginally good.
To compute the NPV for Patz Corporation, Determine the present value factor for 12% discount rate and 10 years. Using the present value table, the factor is 5.650. Calculate the present value of cash benefits: $830,000 x 5.650 = $4,689,500. Subtract the initial cost: $4,689,500 - $4,488,000 = $201,500. The NPV is $201,500. Since the NPV is positive, the company should buy the new system.
To compute the IRR for Sterling Wetzel's investment, Calculate the present value factor: $396,000 / $53,804 = 7.36. Find the corresponding interest rate for the 10-year period. Using the present value table, the closest factor to 7.36 is 7.360 for a 5% discount rate. However, it is important to consider other factors like market conditions and competition before making a final decision.
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the owner of a ski apparel store in winter park, co must make a decision in july regarding the number of ski jackets to order for the following ski season. each ski jacket costs $54 each and can be sold during the ski season for $145. any unsold jackets at the end of the season are sold for $45. the demand for jackets is expected to follow a poisson distribution with an average rate of 80. the store owner can order jackets in lot sizes of 10 units. a. how many jackets should the store owner order if she wants to maximize her expected profit? b. what are the best-case and worst-case outcomes the owner may face on this product if she implements your suggestion? round your answers to a whole dollar amount. min $ max $ c. how likely is it that the store owner will make at least $7,000 if she implements your suggestion? % d. how likely is it that the store owner will make between $6,000 to $7,000 if she implements your suggestion?
According to the information, the store owner should order 100 ski jackets to maximize expected profit.
How many ski jackets should the store owner order?a. The store owner needs to find the optimal order quantity that maximizes expected profit. The expected profit for a lot size of n can be calculated as follows:
Expected revenue = selling price x expected demand = $145 x 80n = $11,600n
Expected cost = ordering cost + holding cost + expected cost of unsold units
Ordering cost = $0 as there is no fixed cost mentioned
Holding cost = (unit cost x holding cost rate x n/2), where holding cost rate is the opportunity cost of holding one unit of inventory for a year, and n/2 is the average inventory level during the season.
Holding cost = ($54 x 16% x n/2) = $4.368n
Expected cost of unsold units = probability of having unsold units x cost of unsold units
The probability of having unsold units can be calculated using the Poisson distribution as follows:
P(X > n) = 1 - P(X ≤ n) = 1 - F(n, 80), where F(n, 80) is the cumulative distribution function of the Poisson distribution with a mean of 80 and a value of n.
Expected cost of unsold units = P(X > n) x cost of unsold units = (1 - F(n, 80)) x $54 x n x 35%
Expected cost = $4.368n + (1 - F(n, 80)) x $54 x n x 35%
Expected profit = Expected revenue - Expected cost
Expected profit = $11,600n - ($4.368n + (1 - F(n, 80)) x $54 x n x 35%)
To find the optimal order quantity, we need to calculate the expected profit for different lot sizes and choose the one that maximizes expected profit.
Lot size (n) Expected profit
10 $878
20 $2,610
30 $4,180
40 $5,655
50 $7,050
60 $8,345
70 $9,515
80 $10,535
90 $11,383
100 $12,048
Therefore, the store owner should order 100 ski jackets to maximize expected profit.
b. The best-case scenario is when all the jackets are sold, and the store owner makes a profit of $9,100 ($145 - $54 = $91 profit per jacket x 100 jackets). The worst-case scenario is when no jacket is sold, and the store owner incurs a loss of $2,160 ($54 cost per jacket x 100 jackets).
c. The probability of making at least $7,000 can be calculated using the cumulative distribution function of the Poisson distribution as follows:
P(Xn, 80) ≥ 87.37) = 1 - P(X ≤ 87) = 1 - F(87, 80) = 0.238
Therefore, there is a 23.8% chance that the store owner will make at least $7,000 if she implements the suggestion.
d. The probability of making between $6,000 and $7,000 can be calculated as follows:
P(6000 ≤ X ≤ 7000) = P(X ≤ 7000) - P(X ≤ 5999)
= F(87, 80) - F(59, 80)
= 0.408 - 0.033
= 0.375
Therefore, there is a 37.5% chance that the store owner will make between $6,000 and $7,000 if she implements the suggestion.
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how do visual elements enhance the sense of objectivity in the bloomberg business article? a. the large lettering in the headline makes the topic seem more important than it is. b. the image of the syringes preys on the reader's fear of needles. c. the bright colors in the visual aids make the article seem more exciting than it is. d. the bar graph provides clear visual data on flu levels over time.
In the Bloomberg Business article, visual elements enhance the sense of objectivity primarily through option D.
The bar graph provides clear visual data on flu levels over time, which allows readers to easily understand the information presented and make informed decisions based on factual evidence. This approach contributes to a more objective and trustworthy article. The visual elements in the Bloomberg business article enhance the sense of objectivity by providing clear and accurate information to the reader. The bar graph, for example, provides visual data on flu levels over time, which adds credibility to the article's claims.
In contrast, the large lettering in the headline, the image of the syringes, and the bright colors in the visual aids are more likely to evoke an emotional response from the reader and could potentially detract from the article's objectivity. Overall, it is the use of clear and informative visual elements that enhances the article's objectivity.
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if larry uses the rational rule for employers, how many workers will he hire? group of answer choices one two three four
Larry will hire the number of workers that he needs to complete the job he has been assigned. The rational rule for employers suggests that Larry should hire the least number of workers that can complete the task in the most efficient manner.
This means that Larry should only hire the number of workers that he needs to complete the job, no more or no less. For example, if the job requires three workers, then Larry should hire three workers. If the job requires only one worker, then Larry should hire only one worker.
The rational rule for employers encourages employers to consider the type of job they have and the number of workers they need in order to complete the job in a timely and cost-efficient manner.
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what can be done to deal with the principal-agent problem?group of answer choicesforbid managers from owning any company stockhave the ceo be a rotating positionthreaten to liquidate the firmlink top manager salaries to the profits of the firm or the price of the firm's stock
To deal with the principal-agent problem, there are several options that can be considered. One approach could be to link top manager salaries to the profits of the firm or the price of the firm's stock.
This would incentivize managers to work towards maximizing the firm's profits and share price, aligning their interests with those of shareholders. Another option could be to forbid managers from owning any company stock to prevent conflicts of interest. Alternatively, the CEO position could be made into a rotating position to prevent any one individual from accumulating too much power and becoming entrenched in the organization.
Lastly, a more drastic measure could be to threaten to liquidate the firm, creating a sense of urgency among managers to prioritize the long-term success of the organization over their own self-interest. To deal with the principal-agent problem, one effective solution is to link top manager salaries to the profits of the firm or the price of the firm's stock. This approach aligns the interests of managers (agents) with those of shareholders (principals), incentivizing managers to make decisions that benefit the overall performance and value of the company.
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a) What is the present worth of equal payments of $25,000 made semi-annually (i.e., twice every year) at a nominal interest rate of 8%: i. for a period of 20 years? ii. in perpetuity?
a) The present worth of equal payments of $25,000 made semi-annually (i.e., twice every year) at a nominal interest rate of 8%:
i. for a period of 20 years is approximately $305,270.
ii. in perpetuity is approximately $312,500.
i. For a period of 20 years, the present worth can be calculated using the formula: PW = PMT x ((1-(1+r/n)^(-nt))/(r/n)), where PMT is the payment amount, r is the nominal annual interest rate, n is the number of compounding periods per year, and t is the total number of years. Substituting the values, we get PW = 25,000 x ((1-(1+0.08/2)^(-2*20))/(0.08/2)) = $305,270.
ii. In perpetuity, the present worth can be calculated using the formula: PW = PMT / r, where PMT is the payment amount and r is the nominal annual interest rate. Substituting the values, we get PW = 25,000 / 0.08 = $312,500.
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The Yurdone Corporation wants to set up a private cemetery business. According to the CFO, Barry M. Deep, business is "looking up." As a result, the cemetery project will provide a net cash inflow of $115,000 for the firm during the first year, and the cash flows are projected to grow at a rate of 5.8 percent per year forever. The project requires an Initial investment of $1,380,000. a. If the company requires a return of 12 percent on such undertakings, what is the NPV of the project? (Do not round Intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. The company is somewhat unsure about the assumption of a growth rate of 5.8 percent in its cash flows. At what constant growth rate would the company just break even if it still required a return of 12 percent on its investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) eBook Print - NPV b. Minimum growth rate %
A. The NPV of the cemetery project is -$72,753.12, indicating that the project is not profitable and should not be undertaken by the company.
B. The minimum constant growth rate required for the company to break even with a required return of 12 percent is 2.2%. This means that if the cash flows do not grow at a rate of at least 2.2%, the project will not be profitable.
A. To calculate the NPV of the project, we need to discount the future cash flows at the required rate of return. The NPV formula is:
NPV = -Initial investment + ∑(Cash flows / (1 + r)^t)
Where r is the required rate of return and t is the time period.
Plugging in the values, we get:
NPV = -$1,380,000 + ($115,000 / (1 + 0.12)^1) + ($115,000 * 1.058 / (0.12 - 0.058))
NPV = -$72,753.12
Since the NPV is negative, the project is not profitable and should not be undertaken by the company.
B. To calculate the minimum growth rate required for the company to break even, we can use the following formula:
Minimum growth rate = (Initial investment / Annual cash flow)^(1/n) - 1
Where n is the number of years.
Plugging in the values, we get:
Minimum growth rate = ($1,380,000 / $115,000)^(1/∞) - 1
Minimum growth rate = 2.2%
This means that if the cash flows do not grow at a rate of at least 2.2%, the project will not be profitable, assuming a required rate of return of 12%.
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alex will be writing an analytical report that discusses three potential new locations for the company and wants to follow the indirect strategy. how should alex organize the report?
Alex can ensure that his report is well-organized, easy to follow, and persuasive. The indirect strategy is particularly effective for analytical reports because it allows the writer to build credibility and establish the context before presenting the analysis and recommendations.
If Alex wants to follow the indirect strategy for his analytical report, he should organize it into the following sections
Introduction: The introduction should provide context for the report and briefly describe the purpose and scope of the analysis. Alex should also establish the criteria for evaluating the potential new locations.Background: In this section, Alex should provide background information on the company and its current operations. This will help readers understand the company's current situation and why new locations are being considered.Criteria: In this section, Alex should explain the criteria that will be used to evaluate the potential new locations. These might include factors such as cost, accessibility, market potential, labor availability, and so on.Analysis: This is the main section of the report, where Alex should analyze each of the three potential locations in turn. For each location, he should describe the location, explain how it meets (or fails to meet) the criteria, and provide evidence to support his analysis. Alex should be objective in his analysis and present the pros and cons of each location.Recommendation: In this section, Alex should summarize his analysis and make a recommendation as to which location the company should choose. Alex should provide clear and compelling reasons for his recommendation, based on the analysis he has presented.Conclusion: The conclusion should summarize the key points of the report and reiterate the recommendation. Alex should also provide any final thoughts or recommendations that may be relevant.
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Consider a part is to be transported from China to Europe. The annual demand for the part is 40,000 units. Price is $150 per unit. Annual holding cost rate is 30% of unit price. There are two transportation options. Air Cargo takes 5 days (door to door) and costs $45 per unit. Ocean Freight takes 50 days and costs $15 per unit. Because of variability of transportation time and demand, 1 week of demand will be kept at destination as safety stock if air cargo is used. On the other hand, 9 weeks of demand will be kept at destination as safety stock if ocean freight is used. Assume that order quantity is the same in both cases, and the shipping (freight) cost is charged when the item is delivered at the destination. Calculate the following costs for Air cargo: 1. Annual freight cost 2. Annual in-transit holding cost 3. Annual safety stock holding cost 4. Total cost of Air Cargo
the costs for air cargo, we need to use the following information:
Annual demand (D) = 40,000 units
Unit price (P) = $150
Holding cost rate (H) = 30% of unit price = $45
Transportation cost per unit (T) = $45
Safety stock for air cargo (S_air) = 1 week of demand = D/52 = 769 units
Delivery lead time for air cargo (L_air) = 5 days
Order quantity (Q) = ?
Working days per year (W) = 250 (assumed)
Annual freight cost:
Annual demand * transportation cost per unit = D * T = 40,000 * 45 = $1,800,000
Annual in-transit holding cost:
Average inventory in transit = Q/2
Average transit time = L_air/2 = 2.5 days
In-transit holding cost per unit per day = H * P / 365 = 45 * 150 / 365 = $18.49
Annual in-transit holding cost = Average inventory in transit * Average transit time * In-transit holding cost per unit per day
Annual in-transit holding cost = (Q/2) * (L_air/2) * 18.49 * W
Annual in-transit holding cost = (Q/4) * L_air * 18.49 * 250
Annual safety stock holding cost:
Safety stock holding cost per unit = H * P = 45 * 150 = $6,750
Annual safety stock holding cost = Safety stock * Safety stock holding cost per unit
Annual safety stock holding cost = S_air * 6,750
Total cost of air cargo:
Total cost = Annual freight cost + Annual in-transit holding cost + Annual safety stock holding cost
Total cost = 1,800,000 + (Q/4) * L_air * 18.49 * 250 + S_air * 6,750
We need to find the order quantity (Q) that minimizes the total cost. To do this, we can use the economic order quantity (EOQ) formula:
EOQ = sqrt(2DS_air / H)
EOQ = sqrt(2 * 40,000 * 769 / 0.3 * 150) = 1,925 units (rounded up)
Now we can plug this value of Q into the total cost equation to find the total cost of air cargo:
Total cost = 1,800,000 + (1,925/4) * 5 * 18.49 * 250 + 769 * 6,750
Total cost = $2,171,978.75
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assume you borrow $10,000 from the bank and promise to repay the amount in 5 equal installments beginning one year from today. the stated interest rate on the loan is 5%. what is the unknown variable in this problem? multiple choice question. the future value the payment amount the present value of the annuity the number of periods
The unknown variable in this problem is the payment amount. The unknown variable in this problem is the payment amount, which is $2,199.61. Here option B is the correct answer.
To solve this problem, we need to use the formula for calculating the payment amount of an annuity, which is:
Payment amount = Present value of the annuity / Present value factor
The present value of an annuity is the sum of the present values of all the payments in the annuity. In this case, there are 5 equal payments of $2,000 each (since $10,000 / 5 = $2,000).
To calculate the present value of each payment, we need to discount it back to the present using the stated interest rate of 5%. Since each payment is due one year from today, we need to discount each payment back one year. The present value factor for a single payment due in one year at a 5% interest rate is 0.9524.
So the present value of each payment is $2,000 x 0.9524
= $1,904.80.
The present value of the annuity is the sum of the present values of all the payments, which is $1,904.80 x 5 = $9,524.
Now we can use the formula for calculating the payment amount:
Payment amount = $9,524 / Present value factor
The present value factor for a 5-year annuity with a 5% interest rate is 4.3295.
Payment amount = $9,524 / 4.3295
= $2,199.61
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Complete question:
Assume you borrow $10,000 from the bank and promise to repay the amount in 5 equal installments beginning one year from today. the stated interest rate on the loan is 5%. What is the unknown variable in this problem?
A) The future value
B) The payment amount
C) The present value of the annuity
D) The number of periods
What is the initial offering price of a 9-year zero-coupon bond (semi-annual compounding) with a yield to maturity of 14%. The bond has a face value of $1,000. Present your answer as a number (excluding the $ sign) and round the answer to 2 decimal places, e.g. 543.21.
The initial offering price of the 9-year zero-coupon bond with a yield to maturity of 14% is approximately $296.01. The initial offering price of a 9-year zero-coupon bond (semi-annual compounding) with a yield to maturity of 14% and a face value of $1,000 can be calculated using the formula:
Initial offering price = Face value / (1 + Yield/2)^(2 * Number of years)
Here, the yield to maturity is 14% (0.14) and the bond has a 9-year maturity with semi-annual compounding.
Step 1: Convert the yield to a semi-annual rate by dividing it by 2.
0.14 / 2 = 0.07
Step 2: Calculate the total number of compounding periods.
2 (semi-annual periods per year) * 9 years = 18 periods
Step 3: Calculate the initial offering price using the formula.
Initial offering price = $1,000 / (1 + 0.07)^18
Initial offering price = $1,000 / (1.07)^18
Initial offering price = $1,000 / 3.3791 (rounded to four decimal places)
Step 4: Divide the face value by the calculated value.
Initial offering price = $1,000 / 3.3791
Initial offering price ≈ $296.01 (rounded to 2 decimal places)
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Schwartz Industry is an industrial company with 119.6 million shares outstanding and a market capitalization (equity value) of $4.30 bilion. It has $2.84 billion of debt outstanding Management have decided to delover the firm by suing new equity to repay at outstanding debt a. How many new shares must the firm isso? b. Suppose you are a shareholder holding 100 shares, and you disagree with this decision. Assuming a perfect capital market, describe what you can do to undo the effect of this decision
The firm must issue approximately 79 million new shares to repay its outstanding debt. As a shareholder holding 100 shares, if you disagree with the decision, you can undo the effect of the deleveraging in a perfect capital market by re-creating the original leverage ratio.
a. To determine how many new shares Schwartz Industry must issue to repay its outstanding debt of $2.84 billion, first, we need to find the value per share.
Value per share = Equity Value / Shares Outstanding = $4.3 billion / 119.6 million shares = $35.95 per share.
Next, we will calculate the number of shares needed to cover the debt:
New shares needed = Debt / Value per share = $2.84 billion / $35.95 per share = 79 million shares (approximately).
So, the firm must issue approximately 79 million new shares to repay its outstanding debt.
b. If you are a shareholder holding 100 shares and disagree with this decision, you can undo the effect of the deleveraging in a perfect capital market by re-creating the original leverage ratio. To do this, you can follow these steps:
1. Determine the proportion of the firm's value represented by your 100 shares: Your equity value = 100 shares * $35.95 per share = $3,595.
2. Calculate your original ownership percentage:
Original ownership percentage = Your equity value / Total equity value before deleveraging = $3,595 / $4.3 billion = 0.0000836%.
3. Calculate your share of the company's debt before deleveraging:
Your debt share = Total debt * Original ownership percentage = $2.84 billion * 0.0000836% = $237,424.
4. Borrow an amount equal to your share of the company's debt: $237,424.
5. Invest the borrowed amount in additional shares of Schwartz Industry:
Additional shares to purchase = Borrowed amount / Value per share = $237,424 / $35.95 per share = 6,605 shares (approximately).
By following these steps, you can re-create the original leverage ratio and undo the effect of the company's decision to deleverage.
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need unique answer
Assume an H&R Block Canada location had a fixed cost of $12,000 to cover during tax filing season, and variable costs for each service of $29. What would the break-even point be for professional services of (a) $109, (b) $69, and (c) $39?
The break-even point is the level of sales at which the total revenue equals the total cost. To calculate the break-even point for H&R Block Canada, we can use the following formula:
Break-even point = Fixed cost / (Price per service - Variable cost per service)
a) For professional services of $109:
Break-even point = $12,000 / ($109 - $29) = 153 services
Therefore, the location needs to provide 153 professional services at $109 to break even.
b) For professional services of $69:
Break-even point = $12,000 / ($69 - $29) = 300 services
Therefore, the location needs to provide 300 professional services at $69 to break even.
c) For professional services of $39:
Break-even point = $12,000 / ($39 - $29) = 1,200 services
Therefore, the location needs to provide 1,200 professional services at $39 to break even.
In summary, the break-even point for H&R Block Canada varies depending on the price of professional services. The higher the price, the fewer services the location needs to provide to break even. Conversely, the lower the price, the more services the location needs to provide to break even.
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one way of encouraging project team development is to talk about the importance of self-development at project team meetings. group of answer choices true false
Encouraging self-development within a project team is a vital aspect of team development, as it helps team members to build new skills, acquire new knowledge, and enhance their performance. Discussing the importance of self-development during project team meetings can help to create a culture of continuous learning within the team, motivating team members to take ownership of their personal and professional development.
By discussing the benefits of self-development and sharing resources and opportunities for growth, project managers can create an environment where team members feel supported and empowered to pursue their goals. This can also foster a sense of camaraderie and collaboration, as team members may be motivated to share their learning experiences and help each other to achieve their development objectives.
Furthermore, emphasizing self-development during project team meetings can help to align team member's personal goals with the project's objectives, ensuring that everyone is working towards the same goal. This can enhance team performance and contribute to the success of the project.
In conclusion, talking about the importance of self-development at project team meetings is a valuable way of encouraging project team development, as it promotes a culture of continuous learning and enhances team performance.
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What is risk management? Explain exposure identification? Riskevaluation? Risk control?Why is it wise to have a risk management policy statement?When is self-insurance wise? Explain pooling.
Risk management is the process of identifying, evaluating, and controlling risks in order to minimize the negative impact they may have on an organization.
Exposure identification is the process of identifying potential sources of risk within an organization.
Risk evaluation is the process of assessing the likelihood and impact of identified risks.
Risk control involves the development and implementation of strategies to minimize the negative impact of identified risks.
It is wise to have a risk management policy statement because it provides a clear framework for managing risks within an organization.
Self-insurance may be wise in certain circumstances, such as when the cost of insurance premiums is prohibitive or when an organization has a high degree of control over the risks it faces.
Pooling is a risk management strategy in which multiple organizations or individuals share the costs and benefits of risk management.
Risk management is the process of identifying, evaluating, and controlling potential threats or uncertainties that may have an impact on an organization's objectives. It involves exposure identification, risk evaluation, risk control, and implementing a risk management policy statement.
Exposure identification involves assessing and recognizing potential risks or hazards that an organization may face. This step is crucial for understanding what threats the organization is vulnerable to and how they may affect its goals. This involves identifying all areas of the organization that may be vulnerable to risk, including physical assets, financial resources, and human resources.
Risk evaluation refers to analyzing and prioritizing the identified risks based on their likelihood of occurrence and potential impact. This involves evaluating the potential consequences of each risk, such as financial losses, legal liabilities, or damage to the organization's reputation.
Risk control involves implementing strategies and measures to reduce the likelihood and impact of identified risks. These strategies can include avoidance, mitigation, transfer, or acceptance of the risks. Effective risk control helps protect an organization's assets and ensures its continuity.
It is wise to have a risk management policy statement because it communicates the organization's commitment to managing risks effectively, defines its risk appetite, and outlines the roles and responsibilities of individuals involved in the risk management process. It also provides guidance to employees and stakeholders on how to identify and manage risks effectively. This policy statement helps ensure a consistent approach to risk management across the organization.
Self-insurance is wise when an organization has the financial resources to cover potential losses and can manage risks effectively without relying on external insurance providers. This approach can lead to cost savings and greater control over risk management processes.
Pooling is a risk management technique where multiple organizations or individuals share their risks to reduce the overall impact of potential losses. By spreading the risk among a larger group, the financial burden of an individual loss is minimized, and the costs of risk management are more evenly distributed. Pooling may provide cost savings and increased protection against risks, but it also involves a loss of control over risk management decisions.
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The company expects to borrow approximately $1 million in three months. The current rate of interest is 6.00% p.a. but is forecast to rise. To hedge the position, the company wishes to use 3 year Treasury bond futures contracts trading at 93.500. Calculate the profit or loss from the position in futures market if in 3 months the contracts are trading at 95.000.
Select one:
a.40,628.94 Loss
b.40,972.1 Loss
c.40,628.94 Profit
d.40,972.1 Profit
To hedge the position, the company can use Treasury bond futures contracts to lock in the borrowing rate at a fixed rate. Here's how to calculate the profit or loss from the position in the futures market:
First, we need to determine the value of the futures contract at the time of entering the hedge:
Value of the futures contract = (notional amount of the loan) x (futures price) x (conversion factor)
where the conversion factor is the price of the underlying Treasury bond with a coupon rate of 6% and a remaining maturity of about 25 years.
The notional amount of the loan is $1 million, and the futures price is 93.500, so:
Value of the futures contract = $1,000,000 x 93.500 x 0.8 = $74,800,000
Now, in 3 months, the futures contracts are trading at 95.000. To calculate the profit or loss from the futures position, we need to determine the new value of the futures contract:
New value of the futures contract = (notional amount of the loan) x (new futures price) x (conversion factor)
New value of the futures contract = $1,000,000 x 95.000 x 0.8 = $76,000,000
The profit or loss from the position is the difference between the new value and the original value of the futures contract:
Profit or loss = new value - original value
Profit or loss = $76,000,000 - $74,800,000
Profit or loss = $1,200,000
Since the futures price increased, the position generated a profit of $1,200,000. Therefore, the correct answer is option (d) 40,972.1 Profit.
The profit or loss from a position in the futures market, given a 3-year Treasury bond futures contract trading at 93.500 and later trading at 95.000 is 40,628.94 Profit. Therefore, the correct option is C.
1. Determine the initial value of the futures contract:
93.500 (price) * $1,000,000 (notional amount) = $93,500,000.
2. Determine the final value of the futures contract:
95.000 (price) * $1,000,000 (notional amount) = $95,000,000.
3. Calculate the change in value:
$95,000,000 (final value) - $93,500,000 (initial value) = $1,500,000.
4. Since the company is hedging against a rise in interest rates, they would have a long position in the futures contract. Thus, if the price of the futures contract increases, the company will make a profit.
5. Calculate the profit:
$1,500,000 (change in value) / $1,000,000 (borrowed amount) * 100 = 40,628.94.
The profit or loss from a position in the futures market is option C: 40,628.94 Profit.
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how do gains in labor productivity lead to gains in gdp per capita
The GDP per capita will increase when people create more since their earnings will grow and they'll have more money to spend.
The value of the goods and services produced in a given hour of work determines worker productivity. To calculate per capita GDP, one must divide the entire value of goods and services produced inside a country by the total number of people living there.
The standard of living rises as labor productivity increases. This is a result of the fact that as workers produce more items, their earnings rise. They will thus have more accessible discretionary cash. Employees will be able to eat more as a result. As a result, the GDP per person will rise. Productivity improvements enable businesses to produce more for the same level of input, create more revenues, and eventually yield a larger Gross Domestic Product.
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When computing the expected return on a portfolio of stocks the portfolio weights are based on the:
number of shares owned in each stock.
price per share of each stock.
market value of the total shares held in each stock.
original amount invested in each stock.
cost per share of each stock held.
When it comes to computing the expected return on a portfolio of stocks, it's crucial to consider the portfolio weights. Portfolio weights refer to the proportion of each stock's total value that is represented in the overall portfolio. These weights are typically based on the market value of the total shares held in each stock.
The market value of a stock refers to the price at which it is currently being traded in the market. The more shares of a particular stock held in a portfolio, the greater the weight of that stock in the portfolio. For example, if a portfolio has $10,000 worth of Stock A and $5,000 worth of Stock B, then Stock A has twice the weight of Stock B in the portfolio.
It's important to note that portfolio weights can change over time as stock prices fluctuate. When a particular stock's market value rises or falls, its weight in the portfolio will also change accordingly.
Overall, portfolio weights are a key factor in computing the expected return on a portfolio of stocks. By taking into account the market value of each stock and its weight in the portfolio, investors can make informed decisions about their investments and potentially maximize their returns.
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Last year, a decision was made to keep the same equipment in lieu of buying new equipment. The old equipment's trade-in value last year was $6000 and its value this year is $2500. The operating cost was $1000 last year. If bought last year, the new equipment would have cost $12000, the salvage value after 10 years would be $3000, and it would have an annual operating cost of $5600. What was the Total EAC for the new equipment? Assume i = 5%
The Total EAC for the new equipment is $16,360.70.
To calculate the Total EAC, we need to find the present value of all costs associated with each option and then sum them up. For the old equipment, the present value of the trade-in value and operating cost is:
PV = $6000/(1+5%) + $1000/(1+5%) = $6705.21
For the new equipment, the present value of the initial cost, salvage value, and operating cost is:
PV = -$12000 + $3000/(1+5%)^10 + $5600/(1+5%) + $5600/(1+5%)^2 + ... + $5600/(1+5%)^10
= -$12000 + $1954.48 + $4963.18
= $16,360.70
Therefore, the Total EAC for the new equipment is $16,360.70, which is greater than the present value of the old equipment's costs. Hence, it would have been more economical to purchase the new equipment last year.
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A project requires an initial fixed asset investment of $156,000, has annual fixed costs of $40,600, a contribution margin of $14.94, a tax rate of 21 percent, a discount rate of 15 percent, and straight-line depreciation over the project's 3-year life. The assets will be worthless at the end of the project. What is the present value break-even point in units per year?
The present value break-even point in units per year is 156,000 / (14.94 x (1-0.21)) = 8,957 units per year.
The present value break-even point in units per year is calculated by dividing the net initial investment by the average annual contribution margin.
This calculation is used to determine the number of units per year that must be sold to cover the initial investment and the expected future variable costs.
In this case, the initial fixed asset investment is $156,000, the annual fixed costs are $40,600, the contribution margin is $14.94, the tax rate is 21%, and the discount rate is 15%.
Therefore, the present value break-even point in units per year is 156,000 / (14.94 x (1-0.21)) = 8,957 units per year. This means that the project must sell 8,957 units per year in order to cover the initial investment and future variable costs and break even.
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I need answer for this question. It's urgentplease.The following table presents closing prices of June 2022 CHF futures contract for three days in March 2022. Each contract requires the delivery of CHF 125,000. The initial and maintenance margin per c ontract are $2,500, and $2,000, respectively. Date 3/01 3/02 3/03 h June 2022 CHF Futures $0.5350 $0.5375 $0.5315 Contract Based on prices during the three-day period, which one of the following statements is true. If you sold CHF futures contracts on 3/01, then on 3/02 you would have made a profit O If you bought CHF futures contracts on 3/01, then on 3/02 you would have made a loss O If you sold CHF futures contracts on 3/02, then on 3/03 you would have made a profit O If you bought CHF futures contracts on 3/02, then on 3/03 you would have made a profit
The statement "If you sold CHF futures contracts on 3/02, then on 3/03 you would have made a profit" is true. The correct option is C.
To determine the profit or loss on a futures contract, we need to calculate the difference between the purchase price and the selling price of the contract.
On 3/02, the closing price of the June 2022 CHF futures contract was $0.5375. If you sold one contract, you would have sold it for $0.5375 × CHF 125,000 = $67,188.
On 3/03, the closing price of the June 2022 CHF futures contract was $0.5315. If you bought back the contract you sold on 3/02, you would have bought it for $0.5315 × CHF 125,000 = $66,438. The profit would be $67,188 - $66,438 = $750.
Therefore, option C is true.
The following table presents closing prices of June 2022 CHF futures contract for three days in March 2022. Each contract requires the delivery of CHF 125,000. The initial and maintenance margin per c ontract are $2,500, and $2,000, respectively.
Date 3/01 3/02 3/03
June 2022 CHF Futures $0.5350 $0.5375 $0.5315
Contract Based on prices during the three-day period, which one of the following statements is true.
A. If you sold CHF futures contracts on 3/01, then on 3/02 you would have made a profit
B. If you bought CHF futures contracts on 3/01, then on 3/02 you would have made a loss
C. If you sold CHF futures contracts on 3/02, then on 3/03 you would have made a profit
D. If you bought CHF futures contracts on 3/02, then on 3/03 you would have made a profit
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it is equally likely that the company would suspend paying interest on the bonds and dividends on the stock. b. both the coupon rate and the dividend rate are fixed and cannot change. c. the bonds showed a higher percentage return than that of the stocks. d. the amount of money received annually in interest (on the bonds) and in dividends (on the stocks) depends on the current market prices.
The statement that best describes the relative risk between investing in stocks and bonds is The market price of the bonds is more stable than the price of the company's stock. The correct option is c.
Stocks and bonds each have their own set of benefits and drawbacks. Furthermore, the structures, payouts, returns, and hazards of each asset class are vastly diverse. Understanding the elements that distinguish these two asset types is critical to developing a healthy investment portfolio that will grow over time.
Of fact, asset allocation strategies differ depending upon an investor's age, tolerance for risk, and long-term financial and retirement goals.
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