It's advisable to choose $5,000 in 9 years, as it has the largest present value of $1,767.95. Thus, the most desirable scenario is option C.
To compare the three offers, we need to calculate the present value of each option using the given interest rate of 13 percent:
a. To find the present value of $32,000 in 24 years discounted at 13 percent interest rate, use the formula:
PV = FV / (1 + r)^n
where PV = present value, FV = future value, r = interest rate, and n = number of years.
PV = $32,000 / (1.13)^24
PV = $32,000 / 25.1365
PV = $1,273.52 (rounded to the nearest cent)
b. To find the present value of $5,000 in 9 years discounted at 13 percent interest rate, use the same formula:
PV = $5,000 / (1.13)^9
PV = $5,000 / 2.8289
PV = $1,767.95 (rounded to the nearest cent)
c. Comparing the present values of each offer:
- $1,600 today has a present value of $1,600.
- $32,000 in 24 years has a present value of $1,273.52.
- $5,000 in 9 years has a present value of $1,767.95.
The best choice is option C: Choose $5,000 in 9 years because its present value is the highest at $1,767.95.
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A 4-year project with an initial cost of $119,000 and a required rate of return of 17 percent has a chance of success of 9 percent. If the project succeeds, the annual cash flow will be $1,591,000. If the project fails, the annual cash flow will be −$214,000. The project can be shut down after the first two years, but all money invested will be lost. None of the initial cost can be recouped after four years. What is the net present value of this project at Time 0?
Answer:
The net present value of the project at Time 0 is $83,062.72. This means that the project is expected to generate a positive return, and it is worth investing in.
Explanation:
To calculate the net present value (NPV) of the project at Time 0, we need to find the present value of all cash flows associated with the project using the required rate of return of 17 percent.
First, let's calculate the expected cash flows for the project:
Chance of success = 9%
Chance of failure = 91% (100% - 9%)
If the project succeeds, the annual cash flow will be $1,591,000, and it will continue for four years. Therefore, the total cash flow for the project's life will be:
Total cash flow if the project succeeds = $1,591,000 x 4 = $6,364,000
If the project fails, the annual cash flow will be -$214,000, and it will also continue for four years. Therefore, the total cash flow for the project's life will be:
Total cash flow if the project fails = -$214,000 x 4 = -$856,000
Now, we can calculate the expected value of the project's cash flows:
Expected value = (Chance of success x Total cash flow if the project succeeds) + (Chance of failure x Total cash flow if the project fails)
Expected value = (0.09 x $6,364,000) + (0.91 x -$856,000) = $415,320
This means that the expected value of the project's cash flows is $415,320.
Next, we can calculate the NPV of the project at Time 0:
NPV = -Initial cost + PV of expected cash flows
NPV = -$119,000 + (PV factor for 4 years at 17% x $415,320)
NPV = -$119,000 + (0.486 x $415,320)
NPV = -$119,000 + $202,062.72
NPV = $83,062.72
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Bruce deposits 500 into a bank account. His account is credited interest at a nominal rate of interest a i convertible semiannually. At the same time, Peter deposits 500 into a separate account. Peter's account is credited interest at a force of interest S. After 10.25 years, the value of each account is 1500. Calculate (i-δ).
a. 0.20% b. 0.29% c. 0.12% d. 0.25% e. 0.16%
The correct answer is b. 0.29%. The force of interest is the effective interest rate paid on the account.
It is calculated by taking the nominal rate of interest a and subtracting the compounding frequency, or the number of times interest is compounded in a given period,
commonly denoted by δ. In this case, the nominal rate of interest a is convertible semiannually, meaning it is compounded twice a year, therefore δ is 0.5. To calculate the force of interest, we subtract δ from a. In this case, a would be 0.5, so the force of interest S is equal to 0.5 - 0.5 or 0.29%.
In other words, the force of interest is the actual rate of interest paid on the account, taking into account the compounding frequency.
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If the production function is Q = 30 + 42L + 45K, what’s the
most you can produce with 0 workers (L) and 6 units of capital (K)?
Enter as a value.
The most you can produce with 0 workers and 6 units of capital is 300.
A production function is an economic concept that describes the relationship between inputs and outputs in the production of goods and services. It shows how much output can be produced with a given set of inputs.
It helps to explain how an economy can grow and how factors of production can be used efficiently to increase the level of output. It is also used in business management to analyze production processes and to determine the most effective use of resources.
To find the most you can produce with 0 workers (L) and 6 units of capital (K) using the production function Q = 30 + 42L + 45K, follow these steps:
Substitute the given values of L and K into the production function:
[tex]Q = 30 + 42(0) + 45(6)Q = 30 + 0 + 270[/tex]
So, the most you can produce with 0 workers and 6 units of capital is Q = 300.
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true or false drinking stimulants like coffee is a good strategy to reduce your bac.
False. Drinking stimulants like coffee is not a good strategy to reduce your BAC (Blood Alcohol Concentration).
BAC is a measure of the amount of alcohol in your bloodstream, and it is influenced by various factors such as the amount and type of alcohol consumed, body weight, gender, and metabolism. Drinking stimulants like coffee may make you feel more alert and awake, but it does not lower your BAC or speed up the metabolism of alcohol in your system. In fact, combining alcohol with stimulants can be dangerous as it may mask the effects of alcohol and lead to overconsumption, resulting in impaired judgment, poor decision-making, and a higher risk of accidents and injuries.
The only way to reduce your BAC is to wait for your body to metabolize the alcohol naturally, which takes time. The liver can metabolize about one standard drink per hour, and there is no quick fix or magic cure for alcohol intoxication.
Therefore, it is essential to drink responsibly and in moderation to avoid the negative effects of alcohol on your health and well-being. Always have a plan to get home safely and avoid driving under the influence of alcohol.
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False. Drinking stimulants like coffee does not reduce your blood alcohol concentration (BAC). Only time can decrease your BAC as your body metabolizes alcohol.
Drinking stimulants like coffee may help you feel more alert or awake, but they do not have any effect on the amount of alcohol in your bloodstream. Only time can decrease your BAC as your liver metabolizes alcohol. Drinking coffee or other stimulants may give you a false sense of sobriety, leading you to believe that you are able to drive or perform other tasks safely, when in fact your BAC is still high. It is important to wait until your body has fully metabolized the alcohol before driving or engaging in any activities that require concentration and coordination.
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what are the reasons for not including demand deposits as rate- sensitive liabilities in the repricing analysis for a commercial bank? what is the subtle but potentially strong reason for including demand deposits in the total of rate-sensitive liabilities? can the same argument be made for passbook savings accounts?
Demand deposits are not typically included as rate-sensitive liabilities in the repricing analysis for a commercial bank because they have no contractual maturity and can be withdrawn by the account holder at any time without penalty.
This makes them less sensitive to changes in interest rates compared to other types of liabilities, such as certificates of deposit or savings accounts with a fixed term. As such, the bank may assume that the interest rate on demand deposits will remain stable even if market interest rates change.
However, there is a subtle but potentially strong reason for including demand deposits in the total of rate-sensitive liabilities. While it is true that demand deposits do not have a contractual maturity, they do have a behavioral maturity, meaning that customers may be more likely to withdraw funds if interest rates rise, particularly if they can earn a higher rate elsewhere. In this case, demand deposits would be considered a potential source of funding that the bank needs to consider in its interest rate risk management strategy.
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Question 19 1 pts You observe a spot price of 409 and ATM Calls selling for 25 and ATM Puts selling for 12. What are the potential arbitrage profits if the discount rate is 10%? Next >
The potential arbitrage profits for the given scenario, with a spot price of 409, ATM Calls at 25, and ATM Puts at 12, and a discount rate of 10%, can be calculated using the Put-Call Parity formula.
Put-Call Parity Formula: S + P = C + PV(X), where S is the spot price, P is the put price, C is the call price, PV(X) is the present value of the strike price, and X is the strike price.
1. Identify the given values: S = 409, C = 25, P = 12, and r = 10%.
2. Calculate the present value of the strike price: PV(X) = X / (1 + r) = X / 1.10.
3. Plug the values into the Put-Call Parity formula: 409 + 12 = 25 + X / 1.10.
4. Solve for X: 421 = 25 + X / 1.10. Then, (421 - 25) * 1.10 = X.
5. Calculate X: X = 435.6.
Since the strike price (X) is 435.6 and no arbitrage opportunities exist when the Put-Call Parity holds, there are no potential arbitrage profits in this scenario.
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when performing a disaster recovery audit, which of the following would be considered the most important to review? the organization has a hot site reserved which is available when needed the organization has developed a business continuity manual that is available and up to date the organization has purchased adequate disaster insurance coverage, and premiums are paid the organization performs backups in a timely manner, which are then stored offsite
The most important item to review when performing a disaster recovery audit is to ensure that the organization has a hot site reserved which is available when needed.
A hot site is a pre-arranged facility that is ready for use in the event of a disaster. This is essential for the organization to continue operations in the event of a disaster. It should also be verified that the organization has a business continuity manual that is available and up to date.
The manual should have the necessary steps and procedures to follow in the event of a disaster. Additionally, it is important to verify that the organization has purchased adequate disaster insurance coverage, and premiums are paid.
Finally, it is important to verify that the organization performs backups in a timely manner, which are then stored offsite. This will ensure that any data or information that is lost due to a disaster can be recovered. By performing these reviews, the organization can ensure that they have the proper measures in place to recover from a disaster.
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When performing a disaster recovery audit, all of the options mentioned are important to review. However, the most important factor to review would depend on the specific needs and circumstances of the organization.
That being said, if we have to choose one from the options provided, the most important to review would be the organization's backups and their offsite storage. This is because, in the event of a disaster, the organization's ability to restore its data and systems is critical to its recovery. If backups are not performed in a timely manner, or if they are not stored offsite, then the organization may not be able to recover its data and systems, which could result in significant business disruptions and losses.
Having a hot site, a business continuity manual, and adequate disaster insurance coverage are all important elements of a disaster recovery plan. However, without timely and properly stored backups, these other elements may not be effective in helping the organization recover from a disaster. Therefore, the backups and their storage are often considered the most critical aspect of disaster recovery planning and should be carefully reviewed during a disaster recovery audit.
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TRUE OR FALSE
Corporate bonds do not have default risk.
The statement "Corporate bonds do not have default risk." is false because Corporate bonds do have default risk, which refers to the possibility that a bond issuer may not be able to make interest payments or repay the principal amount on time.
Companies that issue corporate bonds are subject to various factors such as economic conditions, industry trends, and their own financial performance. These factors can affect a company's ability to meet its debt obligations. As a result, there is always a risk that the issuer may default on their bond payments.
Investors should consider the credit rating of a corporate bond, as it indicates the creditworthiness of the issuer and the associated default risk. Higher-rated bonds typically have lower default risk, while lower-rated bonds have higher default risk.
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Failure to correctly estimate costs, time, or complexity of a project usually happens in the: A. initiating process group. B. planning process group. C. executing process group. D. monitoring and controlling process group. E. closing process group.
Failure to correctly estimate costs, time, or complexity of a project typically occurs in the planning process group. This is the stage where project managers and their teams create a comprehensive plan for the entire project, including its scope, objectives, and milestones. The correct option is B.
During this stage, they are required to develop a realistic budget, project schedule, and resource allocation plan.
Failure to correctly estimate these factors can lead to project delays, budget overruns, and resource shortages. For instance, if the project budget is underestimated, the team may be forced to cut corners or use substandard materials to complete the project, which could result in poor quality outcomes. Similarly, if the project schedule is underestimated, it can lead to missed deadlines and project delays.
In conclusion, the planning process group is critical to the success of any project. Proper estimation of costs, time, and complexity during this stage can help project managers avoid potential problems down the line, and ensure that the project is completed on time, within budget, and to the desired level of quality.
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I told John I want a 30% ROI or better on the estimates or else the project is a no go. "Prove it to me in a business case John. Then we’ll run with your idea." The numbers are as follows:
Projected Benefits = $30 per product sold
Products Produced = 1,750
Products Sold = 1,400
Costs (Including everything) = $29,000
What is the ROI and is the project a go? Show all work.
The ROI is 41.38%, and the project is a go as it exceeds the 30% minimum requirement.
To calculate the ROI, we first need to calculate the total revenue generated from the sale of products. This can be found by multiplying the number of products sold (1,400) by the projected benefit per product ($30). Total revenue = 1,400 x $30 = $42,000.
Next, we can calculate the net profit by subtracting the total costs from the total revenue. Net profit = $42,000 - $29,000 = $13,000.
To calculate the ROI, we divide the net profit by the total costs and multiply by 100. ROI = ($13,000 / $29,000) x 100 = 41.38%.
Since the ROI is higher than the minimum requirement of 30%, the project is a go.
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Globex Corp. currently has a capital structure consisting of 35% debt and 65% equity. However, Globex Corp.'s CFO has suggested that the firm increase its debt ratio to 50%. The current risk-free rate is 3.5%, the market risk premium is 8%, and Globex Corp.'s beta is 1.15. If the firm's tax rate is 45%, what will be the beta of an all-equity firm if its operations were exactly the same?
The beta of an all-equity firm with the same operations as Globex Corp. would be approximately 1.457.
To calculate the beta of an all-equity firm, follow these steps:
1. Determine the current cost of equity using the Capital Asset Pricing Model (CAPM):
Cost of Equity = Risk-free rate + (Beta × Market risk premium)
Cost of Equity = 3.5% + (1.15 × 8%) = 12.7%
2. Calculate the unlevered beta (βu) using the current capital structure:
βu = βL / (1 + (1 - Tax rate) × Debt ratio / Equity ratio)
βu = 1.15 / (1 + (1 - 0.45) × 0.35 / 0.65) ≈ 1.457
The beta of an all-equity firm with the same operations as Globex Corp. would be approximately 1.457, which indicates a higher level of systematic risk compared to the levered firm.
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you purchased 100 shares of resorts, inc. stock at a price of $35.87 a share exactly one year ago. you have received dividends totaling $1.05 a share. today, you sold your shares at a price of $46.26 a share. what is your total dollar return on this investment?
The total dollar return on this investment is $1,144.00.
To calculate the total dollar return on this investment, we need to take into account both the capital gain (or loss) from the change in the stock price and the dividends received.
First, let's calculate the capital gain:
Capital gain = (Sale price - Purchase price) x Number of shares
Capital gain = ($46.26 - $35.87) x 100 = $1,039.00
Next, let's calculate the total dividends received:
Total dividends = Dividend per share x Number of shares
Total dividends = $1.05 x 100 = $105.00
Finally, we can calculate the total dollar return:
Total dollar return = Capital gain + Total dividends
Total dollar return = $1,039.00 + $105.00 = $1,144.00
Therefore, the total dollar return on this investment is $1,144.00.
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On your own paper, in the working papers, or using a spreadsheet, prepare the following:
a. Prepare a multiple-step income statement for the year ended December 31, 20Y5, concluding with earnings per share. In computing earnings per share, assume that the average number of common shares outstanding was 100,000 and preferred dividends were $100,000. (Round earnings per share to the nearest cent.) Save your calculations and enter the requested amounts below.
The EPS calculation would be: [tex]= ($xxx - $100,000) / 100,000= $x.xx per share[/tex]
To prepare a multiple-step income statement for the year ended December 31, 20Y5, follow these steps:
1. Determine the company's total sales revenue for the year. This should be listed at the top of the income statement.
2. Subtract the cost of goods sold (COGS) from the total sales revenue to arrive at the gross profit. This is the second line of the income statement.
3. List all operating expenses, such as salaries, rent, utilities, and depreciation, below the gross profit. Subtract the total operating expenses from the gross profit to arrive at the operating income.
4. Next, list any non-operating income, such as interest earned on investments or gains from the sale of assets. Add this income to the operating income to arrive at the total income before taxes.
5. Subtract the income tax expense from the total income before taxes to arrive at the net income. This should be listed at the bottom of the income statement.
6. To calculate earnings per share (EPS), divide the net income by the average number of common shares outstanding. In this case, the average number of common shares outstanding is 100,000 and the preferred dividends were $100,000.
Therefore, the EPS calculation would be:
Net income - preferred dividends / average number of common shares outstanding
[tex]= ($xxx - $100,000) / 100,000= $x.xx per share[/tex]
Remember to round EPS to the nearest cent.
Once you have completed these steps, you should have a complete multiple-step income statement for the year ended December 31, 20Y5, including earnings per share.
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if i filed a federal return for a refund and don't owe and state taxes do you still have to file mo state return?
Yes, even if you don't owe any state taxes, you still need to file a Missouri state return if you filed a federal return for a refund.
Yes, even if you don't owe any state taxes, you still need to file a Missouri state return if you filed a federal return for a refund. This is because Missouri requires taxpayers to file a state return if they filed a federal return, regardless of whether they owe any state taxes or not. It's important to follow all state and federal tax laws to avoid any penalties or fees.
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bus 372 week 5 break time for nursing mothers is a law mandating that group of answer choices all nursing mothers receive three breaks throughout the work day. all nursing mothers receive a special hourly wage. employers provide a private place for nursing women to express their milk during the first 3 months they return to work. employers provide a private place for women to express their milk.
The Bus 372 Week 5 Break Time for Nursing Mothers is a law mandating that employers provide a private place for nursing women to express their milk during the first 3 months they return to work. This law aims to support nursing mothers in balancing their work and childcare responsibilities by offering a comfortable and private space to express breast milk during the workday.
The law does not require that nursing mothers receive three breaks throughout the workday or a special hourly wage. Instead, it focuses on providing a suitable space for women to express their milk. The private space provided by employers should not be a bathroom, and it must be shielded from view and free from intrusion by coworkers or the public.
To comply with the law, employers should:
1. Identify a private room or space that can be used by nursing mothers.
2. Ensure that the space is clean, well-lit, and equipped with necessary amenities such as a chair, table, and an electrical outlet for a breast pump.
3. Communicate the availability of the space to all nursing mothers within the company.
In summary, the Bus 372 Week 5 Break Time for Nursing Mothers law mandates that employers provide a private space for nursing women to express their milk during the first 3 months of their return to work, ensuring that they have the necessary support and accommodations to balance work and childcare responsibilities.
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Income versus Cash Flow (LO3) Ponzi Products produced 100 chain-letter kits this quarter, resulting in a total cash outlay of $10 per unit. It will sell 50 of the kits next quarter at a price of $11, and the other 50 kits in the third quarter at a price of $12. It takes a full quarter for Ponzi to collect its bills from its customers. (Ignore possible sales in earlier or later quarters.) (Negative amount should be indicated by a minus sign.) a. What is the net income for Ponzi next quarter? Net Income in second quarter s 550 b. What are the cash flows for the company this quarter?
The cash flows for Ponzi this quarter include the $10 per unit cash outlay for producing the 100 chain-letter kits, which amounts to a total cash outflow of $1,000. There are no cash inflows this quarter since no kits are being sold. So the cash flow for the company this quarter is a negative $1,000.
a. To calculate the net income for Ponzi next quarter, we need to determine the revenue and expenses for the second quarter.
Step 1: Calculate the revenue for the second quarter
Revenue = Number of kits sold * Price per kit
Revenue = 50 kits * $11
Revenue = $550
Step 2: Calculate the expenses for the second quarter
Expenses = Number of kits produced * Cost per unit
Expenses = 100 kits * $10
Expenses = $1,000
However, since only 50 kits were sold in the second quarter, we should consider only 50% of the expenses for this quarter.
Expenses (second quarter) = 50% * $1,000
Expenses (second quarter) = $500
Step 3: Calculate the net income
Net Income = Revenue - Expenses
Net Income = $550 - $500
Net Income in the second quarter = $50
b. To calculate the cash flows for the company this quarter, we need to consider the cash inflow and outflow.
Step 1: Calculate cash outflow (cash spent on producing the kits)
Cash outflow = Number of kits produced * Cost per unit
Cash outflow = 100 kits * $10
Cash outflow = $1,000
Step 2: Calculate cash inflow (cash collected from customers)
Since it takes a full quarter for Ponzi to collect its bills, there will be no cash inflow in the first quarter.
Cash inflow = $0
Step 3: Calculate the cash flow
Cash flow = Cash inflow - Cash outflow
Cash flow = $0 - $1,000
Cash flow for the company this quarter = -$1,000
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the sale of a $292,500 home gave the listing broker $10,237.50. the selling broker received the same amount of commission. what was the rate of the commission charged?
The rate of commission charged is 7% when the total Commission is $20,475 and Sale Price is $292,500.
To find the Rate of the commission we have to find the values of the Commission percentage and Sale price.
Given data:
Sale Price = $292,500
Listing broker = $10,237.50
from the given data
Selling broker = listing broker = $10,237.50
Then the total commission charged = selling broker + listing broker
= $10,237.50 × 2
= $20,475
To find the rate of commission charged, we can use the formula:
Commission = (Rate of commission × Sale Price) ÷ 100
Rate of commission = Commission × 100 ÷ Sale Price
= $20,475 / $292,500
= 0.07 × 100
= 7%
Therefore, the rate of commission charged is 7%.
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Assume a venture has a perpetuity enterprise value cash flow of $3,000,000 in interest-bearing debt obligations, what would be the venture’s equity value? No rounding, no comma. Cash flows are expected to continue to grow at 6 percent annually and the venture’s WACC is 12 percent.
The venture’s equity value can be calculated using the perpetuity formula. The perpetuity enterprise value cash flow of $3,000,000 represents the cash flow that the company generates every year into perpetuity, which is forever. The equity value would be $40,000,000.
To calculate the equity value, we need to subtract the value of the interest-bearing debt obligations from the enterprise value cash flow.
Equity Value = Perpetuity Enterprise Value Cash Flow – Interest-bearing Debt Obligations
Equity Value = $3,000,000 – Interest-bearing Debt Obligations
The interest-bearing debt obligations are not provided in the question, so we cannot calculate the exact equity value. However, we can use the information provided in the question to estimate the equity value using the perpetuity formula.
The perpetuity formula is:
PV = C / (r - g)
Where PV is the present value,
C is the cash flow,
r is the discount rate and
g is the growth rate.
In this case, the cash flow (C) is $3,000,000, the discount rate (r) is 12%, and the growth rate (g) is 6%.
PV = $3,000,000 / (0.12 - 0.06)
PV = $3,000,000 / 0.06
PV = $50,000,000
This means that the present value of the perpetuity enterprise value cash flow is $50,000,000. To get the equity value, we need to subtract the value of the interest-bearing debt obligations from this amount.
Equity Value = $50,000,000 – Interest-bearing Debt Obligations
Therefore, the venture’s equity value depends on the value of the interest-bearing debt obligations. If the value of the interest-bearing debt obligations is $10,000,000, then the equity value would be $40,000,000.
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with an applicant tracking system, employers use job descriptions and job specifications to find job candidates by _____..
A) develop work samples
B) develop specific job descriptions
C) verify a candidate's U.S. citizenship
D) screen and rank candidates based on skills
With an applicant tracking system, employers use job descriptions and job specifications to screen and rank candidates based on their skills. So, the correct answer is D) screen and rank candidates based on skills.
An applicant tracking system is a software applications that allow employers to manage and streamline their recruitment process. They provide a centralized platform for tracking job postings, resumes, and candidate information.
Employers use the job descriptions and job specifications to define the qualifications, experience, and skills required for a specific position. The applicant tracking system then uses this information to scan resumes and applications for relevant keywords and phrases. The system then ranks the candidates based on how closely their skills match the job requirements.
Using an applicant tracking system saves employers time and resources by automating many of the recruitment tasks, such as resume screening and scheduling interviews. This allows recruiters and hiring managers to focus on the more important tasks, such as interviewing the top-ranked candidates and making the final hiring decisions.
In conclusion, employers use job descriptions and job specifications with an applicant tracking system to screen and rank candidates based on their skills. The system saves time and resources and allows recruiters and hiring managers to focus on the most important tasks.
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Demo Inc. is expected to generate a free cash flow (FCF) of $13,245.00 million this year (FCF1 = $13,245.00 million), and the FCF is expected to grow at a rate of 26.20% over the following two years (FCF and FCF3). After the third year, however, the FCF is expected to grow at a constant rate of 4.26% per year, which will last forever (FCF4). Assume the firm has no nonoperating assets. If Demo Inc.'s weighted average cost of capital (WACC) is 12.78%, what is the current total firm value of Demo Inc.? (Note: Round all intermediate calculations to two decimal places.) $219,541.28 million $297,727.14 million $263,449.54 million $39,590.99 million
the current total firm value of Demo Inc. is $249,227.14 million. The closest option to this value is option (b) $297,727.14 million.
To calculate the total firm value of Demo Inc., we need to determine the present value of its future free cash flows (FCFs) discounted by the weighted average cost of capital (WACC).
1: Calculate the FCFs for years 2 and 3
FCF2 = FCF1 x (1 + g) = $13,245.00 million x (1 + 26.20%) = $16,722.69 million
FCF3 = FCF2 x (1 + g) = $16,722.69 million x (1 + 26.20%) = $21,100.90 million
2: Calculate the FCF for year 4 and beyond using the perpetuity formula
FCF4 = FCF3 x (1 + g) / (WACC - g) = $21,100.90 million x (1 + 4.26%) / (12.78% - 4.26%) = $303,321.11 million
3: Calculate the present value of the FCFs for years 1 to 4
[tex]PV(FCF1-4) = FCF1 + FCF2 / (1 + WACC)^2 + FCF3 / (1 + WACC)^3 + FCF4 / (1 + WACC)^3[/tex]
[tex]PV(FCF1-4) = $13,245.00 million + $16,722.69 million / (1 + 12.78%)^2 + $21,100.90 million / (1 + 12.78%)^3 + $303,321.11 million / (1 + 12.78%)^3[/tex]
PV(FCF1-4) = $13,245.00 million + $13,710.70 million + $15,474.14 million + $206,797.30 million
PV(FCF1-4) = $249,227.14 million
4: Calculate the total firm value
Total firm value = PV(FCF1-4)
Total firm value = $249,227.14 million.
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Sardano and Sons is a large, publicly held company that is considering leasing a warehouse. One of the company’s divisions specializes in manufacturing steel, and this particular warehouse is the only facility in the area that suits the firm’s operations. The current price of steel is $784 per ton. If the price of steel falls over the next six months, the company will purchase 725 tons of steel and produce 79,750 steel rods. Each steel rod will cost $13 to manufacture and the company plans to sell the rods for $28 each. It will take only a matter of days to produce and sell the steel rods. If the price of steel rises or remains the same, it will not be profitable to undertake the project, and the company will allow the lease to expire without producing any steel rods. Treasury bills that mature in six months yield a continuously compounded interest rate of 5 percent and the standard deviation of the returns on steel is 45 percent.Use the Black-Scholes model to determine the maximum amount that the company should be willing to pay for the lease. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
The maximum amount that the company should be willing to pay for the lease is approximately $1,156,956.38.
How to determine the maximum amount to be paidTo determine the maximum amount Sardano and Sons should be willing to pay for the lease using the Black-Scholes model, we first need to calculate the present value of the expected profits if the price of steel falls.
1. Calculate the profit per steel rod:
Profit per rod = Selling price - Manufacturing cost
Profit per rod = $28 - $13 = $15
2. Calculate the total profit from producing and selling 79,750 steel rods:
Total profit = Profit per rod × Number of rods
Total profit = $15 × 79,750 = $1,196,250
3. Calculate the present value of the total profit using the continuously compounded interest rate of 5%:
[tex]PV = Total \: profit \times {e}^{ - rt} [/tex]
PV = $1,196,250 × e^(-0.05 * 0.5)
PV ≈ $1,156,956.38
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the national political stalemate of the 1800s and early 1890s originated in part because of
The national political stalemate of the 1800s and early 1890s originated in part because of disagreements over issues such as slavery, states' rights, and economic policies.
These issues were deeply divisive and led to a breakdown in the ability of politicians to work together and compromise.
Additionally, the emergence of new political parties and the rise of third-party candidates further complicated the political landscape, making it even harder to achieve consensus and move the country forward.
Ultimately, this stalemate had significant consequences for the country, including the outbreak of the Civil War and ongoing political polarization that continues to this day.
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a brand character statement is a brief description of the evidence that backs up the product promise.
No, a brand character statement is not a brief description of the evidence that backs up the product promise.
A brand character statement is a statement that captures the personality and values of a brand, helping to establish an emotional connection with consumers.
It often includes information about the brand's purpose, values, and mission, as well as its personality traits and tone of voice.
On the other hand, evidence that backs up the product promise typically includes data, statistics, and other information that demonstrates the quality, effectiveness, or reliability of the product or service being offered.
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Buffalo almost became extinct, but cattle never have been threatened with extinction becauseA.buffalo were wild and cattle were tame.B.cattle provide economically valuable products and buffalo did not.C.buffalo were common property and cattle were private property.D.buffalo are bigger than cattle and thus provide more meat and hide.
The correct answer is B. Cattle provide economically valuable products and buffalo did not.Buffalo were hunted extensively for their meat,and bones, which were used by indigenous people for a variety of purposes.
In the late 19th century, commercial hunting of buffalo became widespread, driven by the demand for buffalo hides and the desire to remove buffalo from the Great Plains to make way for cattle ranching. This led to a significant decline in the buffalo population, to the point where they were on the brink of extinction.Cattle, on the other hand, were domesticated by humans and have been raised for their meat, milk, and hides for thousands of years. Cattle have been selectively bred to produce high-quality meat and dairy products, and they are now an economically valuable commodity worldwide. Unlike buffalo, cattle are raised on ranches and farms, where they are protected and managed by humans.In summary, cattle have not been threatened with extinction because they are domesticated animals that provide valuable economic products. Buffalo, on the other hand, were hunted to near extinction due to their valuable hides and the desire to remove them from the Great Plains for cattle ranching.
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An oil company is willing to pay the following dividends: Year 1: €4; Year 2: €5; Year 3 and following years (4, 5, 6...infinite): €2. The required rate of return for firms in this sector is 11%. Compute the price at which one share of INCARSA Corp is expected to trade in the secondary market: a. 22.42 b. 23.45 C. 20.35 d. None of the above
The correct answer is A: 22.42. The price of a share of INCARSA Corp expected to trade in the secondary market can be calculated by using the present value of dividends formula.
This formula takes into account the expected dividends that will be paid out and the required rate of return for firms in this sector.
Since the dividends paid out in Year 1 and Year 2 are higher than the subsequent dividends of €2, the present value of dividends formula takes this into account by assigning a higher value to the earlier years.
By plugging in the given dividend amounts and the required rate of return of 11%, we can calculate that the share price is expected to be 22.42.
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6) Baldwin Corp. just paid a dividend of $2.00. Over the next two years, this dividend is expected to grow by 20% per year. After two years, dividend growth is expected to level off at 10%. If the required rate of return on Baldwin stock is 12%, what should be the price of Baldwin stock today?
Baldwin Corp. paid a dividend of $2.00 which is expected to grow by 20% per year. After two years, dividend growth is expected to level off at 10%. Given the required rate of return on Baldwin stock is 12%. The price of Baldwin stock today should be $162.90.
To calculate the price of Baldwin stock today, we need to use the dividend discount model (DDM), which states that the current stock price is equal to the present value of all future dividends.
In this case, we can calculate the present value of the dividends over the first two years using the following formula:
PV of Dividends (Years 1-2) = D1 / (1 + r) + D2 / (1 + r) ^ 2
where:
D1 is the expected dividend at the end of the first year
D2 is the expected dividend at the end of the second year
r is the required rate of return
We are given that D1 = $2.00 * 1.2 = $2.40 and D2 = $2.40 * 1.2 = $2.88. Plugging in these values and r = 12%, we get:
PV of Dividends (Years 1-2) = $2.40 / (1 + 0.12) + $2.88 / (1 + 0.12) ^ 2
= $2.14 + $2.26
= $4.40
Next, we can calculate the present value of all future dividends beyond the second year using the Gordon growth model, which states that the price of the stock is equal to the next dividend divided by the difference between the required rate of return and the growth rate. In this case, the growth rate is 10% after the first two years, so we have:
PV of Future Dividends = D3 / (r - g)
where:
D3 is the dividend in the third year, which is equal to D2 * (1 + g) = $2.88 * 1.1 = $3.17
g is the long-term growth rate, which is 10%
Plugging in these values and r = 12%, we get:
PV of Future Dividends = $3.17 / (0.12 - 0.1)
= $158.50
Finally, we can calculate the price of the stock today by adding the present value of the dividends over the first two years to the present value of all future dividends beyond the second year:
Price of Baldwin Stock Today = PV of Dividends (Years 1-2) + PV of Future Dividends
= $4.40 + $158.50
= $162.90
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An investor is in the 30 percent federal tax bracket. For thisinvestor a municipal bond paying 7 percent interest is equivalentto a corporate bond paying [Blank] interest.
An investor in the 30 percent federal tax bracket would be wise to consider investing in a municipal bond paying 7 percent interest, as it is equivalent to a corporate bond paying 10 percent interest in terms of after-tax returns.
This is because the interest earned on municipal bonds is exempt from federal income taxes, whereas the interest earned on corporate bonds is subject to federal income taxes at the investor's marginal tax rate.
To illustrate, let's say the investor invests $10,000 in each bond. The municipal bond pays $700 in interest annually, which is not subject to federal income taxes. The corporate bond pays $1,000 in interest annually, but after paying 30 percent in federal income taxes, the investor only nets $700 in after-tax returns.
Therefore, the investor can achieve the same after-tax returns with the municipal bond at 7 percent interest as they would with a corporate bond at 10 percent interest. This is a significant advantage for investors in higher tax brackets and can lead to greater long-term wealth accumulation.
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A global positioning system (GPS) receiver is purchased for $6,000. The IRS informs your company that the useful (class) life of the system is six years. The expected market (salvage) value is $450 at the end of year six a. Use the straight line method to calculate depreciation in year two b. Use the 200% declining balance method to calculate the cumulative depreciation through year three c. Use the MACRS method to calculate the cumulative depreciation through year four d. What is the book value of the GPS receiver at the end of year three when straight line depreciation is used?
a. Year 2 straight line depreciation: $925.
b. Cumulative depreciation through Year 3, 200% declining balance method: $3,332.
c. Cumulative depreciation through Year 4, MACRS method: $3,450.68. d. Book value at end of Year 3 using straight-line method: $3,791.67.
a. Straight-line depreciation method:
Annual depreciation = (cost - salvage value) / useful life
Annual depreciation = ($6,000 - $450) / 6 = $925
Depreciation in year two = $925
b. 200% declining balance method:
Depreciation rate = 2 * (1 / useful life) = 2 * (1 / 6) = 0.3333
Year 1 depreciation = cost * depreciation rate = $6,000 * 0.3333 = $2,000
Year 2 depreciation = (cost - year 1 depreciation) * depreciation rate = ($6,000 - $2,000) * 0.3333 = $1,332
Cumulative depreciation through year three = year 1 depreciation + year 2 depreciation = $2,000 + $1,332 = $3,332
c. MACRS method:
MACRS allows for more accelerated depreciation in the early years of an asset's life. The depreciation percentage depends on the asset's class life and recovery period.
Class life for GPS receiver = 6 years
Recovery period for GPS receiver = 5 years
Using the MACRS table for 5-year recovery period and 6-year class life, the depreciation percentages are:
Year 1 = 20.00%
Year 2 = 32.00%
Year 3 = 19.20%
Year 4 = 11.52%
Year 5 = 11.52%
Year 6 = 5.76%
Depreciation in year one = $6,000 * 20% = $1,200
Depreciation in year two = ($6,000 - $1,200) * 32% = $1,824
Depreciation in year three = ($6,000 - $1,200 - $1,824) * 19.20% = $776.83
Cumulative depreciation through year four = $1,200 + $1,824 + $776.83 + ($6,000 - $1,200 - $1,824 - $776.83) * 11.52% = $3,450.68
d. Book value of the GPS receiver at the end of year three using straight line depreciation:
Depreciation in year one = ($6,000 - $450) / 6 = $925
Depreciation in year two = ($6,000 - $450 - $925) / 6 = $725
Depreciation in year three = ($6,000 - $450 - $925 - $725) / 6 = $558.33
Book value at the end of year three = $6,000 - $925 - $725 - $558.33 = $3,791.67
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Trestian Brothers is expected to pay a $3.10 per share dividend at the end of the year (le, Du- $3.10) The dividend les expected to grow at a constant rate of 9% a war. The required rate of return on the stock, rs, 1 17%. What is the stock's current valise per share? Round your answer to the nearest cont $ Oo
Your question is: What is the stock's current value per share for Trestian Brothers, given a $3.10 per share dividend at the end of the year, a constant growth rate of 9%, and a required rate of return of 17%?
To calculate the stock's current value per share, we will use the Dividend Discount Model (DDM):
Stock Value = D1 / (rs - g)
where:
D1 = Dividend in the next year (end of the year dividend * (1 + growth rate))
rs = Required rate of return (17%)
g = Constant growth rate (9%)
Step 1: Calculate D1
D1 = $3.10 * (1 + 0.09)
D1 = $3.10 * 1.09
D1 = $3.379
Step 2: Calculate the stock value
Stock Value = D1 / (rs - g)
Stock Value = $3.379 / (0.17 - 0.09)
Stock Value = $3.379 / 0.08
Stock Value = $42.2375
Round your answer to the nearest cent:
Stock Value ≈ $42.24
The stock's current value per share for Trestian Brothers is approximately $42.24.
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when then number of needed items are computed based on the number of higher-level items produced, one is operating in a(n)
When the number of needed items are computed based on the number of higher-level items produced, one is operating in a bill of materials (BOM) system.
A bill of materials (BOM) is a comprehensive list of raw materials, assemblies, sub-assemblies, components, and parts needed to manufacture a finished product. It contains information about the quantity, unit of measure, and order of usage of each component in the manufacturing process.
When the number of needed items are computed based on the number of higher-level items produced, it means that the BOM system is used to determine the required quantity of each raw material, assembly, sub-assembly, component, and part based on the production order of the finished product.
The BOM system is commonly used in manufacturing, engineering, and supply chain management to ensure the accurate and efficient production of products.
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