The answer is A. token appreciation.
Marge's response demonstrates token appreciation because she acknowledges that Beverly's idea is good, but she then goes on to say that it won't work in this situation. This suggests that Marge is not really interested in Beverly's idea and is simply being polite.
If Marge were truly grateful for Beverly's idea, she would be more open to considering it and exploring how it could be used in this situation. She would also be more likely to offer specific feedback on why she doesn't think the idea will work.
Token appreciation is a common way of responding to ideas that we don't really agree with. It's a way of saying "thank you for sharing your idea, but I'm not interested" without being too blunt. However, token appreciation can be seen as dismissive and can discourage people from sharing their ideas in the future.
If you want to show genuine appreciation for someone's idea, take the time to consider it seriously and offer specific feedback. This will show the person that you value their input and that you're open to new ideas.
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According to the IFE, if interest rates are 8% in the U.S. and 5% in Europe, what is the expected change in the value of the euro? (no approximations
According to the IFE, if interest rates are 8% in the U.S. and 5% in Europe, the expected change in the value of the euro is an appreciation of 2.2%. This means that the euro is expected to increase in value relative to the U.S. dollar.
The International Fisher Effect (IFE) theory states that the currency with a lower interest rate will appreciate relative to the currency with a higher interest rate by an amount that equalizes the expected return from investing in either currency.
This is because foreign investors will demand a higher return on their investments in the currency with the lower interest rate to compensate for the risk of currency depreciation due to inflation and other economic factors. The expected change in the value of the euro can be calculated as follows:
Expected change in the value of the euro = (1 + U.S. interest rate) / (1 + European interest rate) - 1
Expected change in the value of the euro = (1 + 0.08) / (1 + 0.05) - 1
Expected change in the value of the euro = 0.022 or 2.2%
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Plutronics Invesmtents has a $500,000 portfolio consisting of the following stocks:
Stock Investment Beta
Griffinaid $100,000 0.7
Core $100,000 1.0
Websun $100,000 0.8
Boarco $200,000 1.7
Total $500,000
What is the portfolio's beta?
The portfolio's beta is 1.18.
To find the portfolio's beta, we need to calculate the weighted average of the individual stock betas based on their respective investments.
Step 1: Multiply each stock's investment by its beta.
Griffinaid: $100,000 * 0.7 = $70,000
Core: $100,000 * 1.0 = $100,000
Websun: $100,000 * 0.8 = $80,000
Boarco: $200,000 * 1.7 = $340,000
Step 2: Add up the results from Step 1.
$70,000 + $100,000 + $80,000 + $340,000 = $590,000
Step 3: Divide the total from Step 2 by the total investment amount.
$590,000 / $500,000 = 1.18
Therefore, the portfolio's beta is 1.18.
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A firm has a required rate of return of 0.12. Its expected ROE is 0.116 and expected earnings per share are 4.9. If the firm's retention ratio is 0.36, what is the firm's sustainable or intrinsically justifiable P/E ratio? 7.113 7.808 8.180 8.597 7.427
Therefore, the firm's sustainable or intrinsically justifiable P/E ratio is 8.180. The correct option is 8.180.
The formula to calculate sustainable growth rate of a company is given as:
g = b × ROE
Here, "b" denotes the retention ratio and "ROE" denotes the Return on Equity.
We are given,
Retention ratio, b = 0.36
Return on equity, ROE = 0.116
Therefore, g = 0.36 × 0.116
= 0.0418
Sustainable growth rate, g = 0.0418
The formula for calculating the intrinsic value per share (or intrinsic P/E ratio) is given as:
{Intrinsic P/E ratio} ={1}/{r - g}
Here, "r" denotes the required rate of return and "g" denotes the sustainable growth rate.
We are given,
Required rate of return, r = 0.12
Sustainable growth rate, g = 0.0418
Therefore,
Intrinsic P/E ratio = {1}/{0.12 - 0.0418}
= 8.180 (approx)
The correct option is 8.180.
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The top management of a well know manufacturing firm in Kenya engaged a consulting firm to study on factors that is leading to high low productivity in their company. The consulting firm employed descriptive research design and a structured questionnaire in collecting data from a sample of 400 respondents. The questionnaires were prepared before analysis commenced. The findings of the study were that working condition, employee remuneration and leadership style were the major causes of the observed problem.
Required
Write down the research objectives in this study Explain the steps the researcher would have followed to arrive at the sample size chosen for the study ( 2 marks)
Describe the research design adopted in the study and explain its uses Describe ‘data preparation’ as applied in the case above.
The research objectives in the given study were as follows: To study the factors that are leading to low productivity in a well-known manufacturing firm in Kenya To determine the impact of working conditions on the productivity of employees To identify the influence of employee remuneration on the productivity of employees To analyze the leadership style and its impact on the productivity of employees.
Steps the researcher would have followed to arrive at the sample size chosen for the study: The following steps the researcher would have followed to arrive at the sample size chosen for the study:
1. Define the target population and sample size required. 2. Determine the sampling method to be used. 3. Identify the sampling frame. 4. Select a sample from the sampling frame. 5. Determine the sample size.6. Collect data from the selected sample.
Descriptive research design adopted in the study: In the given case, the consulting firm employed a descriptive research design to study the factors that are leading to low productivity in a well-known manufacturing firm in Kenya. The descriptive research design was used to describe the characteristics of the population being studied. The research design was also used to determine the relationship between variables. Data preparation as applied in the case above: In the given case, data preparation refers to the process of collecting and analyzing data that was collected from the sample of 400 respondents. Data preparation involved cleaning, coding, editing, and transforming the data into a format that can be analyzed. The data was prepared before the analysis commenced. The data preparation process involved the following steps:1. Cleaning and editing the data to remove errors, inconsistencies, and other issues.2. Coding the data to make it easier to analyze.3. Transforming the data into a format that can be analyzed.4. Checking the quality of the data to ensure that it is accurate and reliable.
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Which of the following is NOT one of the "Meredith principles"? Select one: a. Employers pay the cost of workers' compensation collectively through premi b. The injury must have been sustained during the course of employment. c. The level of compensation a worker can receive is based upon how much their own actions contributed to the accident. d. The system is administered by an independent government agency.
The statement "the level of compensation a worker can receive is based upon how much their own actions contributed to the accident" is not one of the meredith principles.c. the level of compensation a worker can receive is based upon how much their own actions contributed to the accident.
The "meredith principles" refer to the principles underlying workers' compensation systems. these principles were proposed by sir william meredith, a canadian jurist, in the early 20th century. they provide a framework for workers' compensation laws and policies.
the principles include:
a. employers pay the cost of workers' compensation collectively through premiums: this principle states that employers bear the financial responsibility for providing compensation to injured workers. they contribute to a collective fund through premiums, which is used to compensate injured employees.
b. the injury must have been sustained during the course of employment: this principle establishes that for a worker to be eligible for compensation, the injury or illness must have occurred while the employee was performing work-related duties.
c. the level of compensation a worker can receive is based upon how much their own actions contributed to the accident: this statement is not one of the meredith principles. workers' compensation systems typically operate on a "no-fault" basis, meaning that compensation is provided regardless of the worker's own actions contributing to the accident. the focus is on compensating injured workers rather than determining fault or attributing blame.
d. the system is administered by an independent government agency: this principle emphasizes the importance of having an impartial and independent government agency responsible for overseeing the workers' compensation system. this agency ensures fair and consistent administration of the system, protecting the rights of both workers and employers.
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If I bought a stock 3 years ago today for $100 and it pays a $4 dividend once a year (assume a year from when I bought it) for three years (so you receive three dividends) and I now sell it for $140, what is my total return (holding period return) on a per year basis? Hint: if you use TVM your payment is $4.
The total return on a per-year basis for the stock investment over the three-year holding period is 12.25%.
To calculate the total return on a per-year basis, we need to consider both the capital gain/loss from selling the stock and the dividends received. In this case, the stock was bought for $100, sold for $140, and three dividends of $4 each were received.
First, we calculate the capital gain/loss: $140 (selling price) - $100 (purchase price) = $40.
Next, we calculate the total dividends received: $4 (dividend payment) x 3 (number of dividends) = $12.
Now, we add the capital gain/loss and the total dividends received: $40 (capital gain) + $12 (dividends) = $52.
To calculate the per-year basis return, we divide the total return by the initial investment and divide it by the holding period: ($52 / $100) / 3 = 0.1733 or 17.33%.
Therefore, the total return on a per-year basis for the stock investment over the three-year holding period is 17.33%.
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Attempts 9. Cost of trade credit Keep the Highest/4 Firms usually offer their customers some form of trade credit. This allowance comes with certain terms of credit, which affect the cost of asset of sale for the buyer as well as the seller. Consider this case: Tasty Tuna Corporation buys most of its raw materials from a single supplier. This supplier sells to Tasty Tuna on terms of 4/20, net 45. The cost per period of the trade credit extended to Tasty Tuna, rounded to two decimal places, is Tasty Tuna's trade credit has a nominal annual cost of decimal places, and your final answer to two decimal places.) assuming a 365-day year. (Note: Round all intermediate calculations to four
The cost per period of trade credit for Tasty Tuna Corporation is approximately 4.17%, resulting in a nominal annual cost of trade credit of approximately 60.64%.
To calculate the cost of trade credit, we need to consider the terms of credit provided by the supplier to Tasty Tuna Corporation. The terms "4/20, net 45" mean that Tasty Tuna can receive a 4% discount if payment is made within 20 days. Otherwise, the full payment is due within 45 days.
First, we calculate the trade credit period by subtracting the discount period from the net payment period:
Trade credit period = Net payment period - Discount period
Trade credit period = 45 days - 20 days
Trade credit period = 25 days
Next, we calculate the cost per period of trade credit:
Cost per period = Discount percentage / (100% - Discount percentage)
Cost per period = 4% / (100% - 4%)
Cost per period ≈ 4.17%
To find the nominal annual cost of trade credit, we multiply the cost per period by the number of periods in a year (365 days):
Nominal annual cost = Cost per period * (365 days / Trade credit period)
Nominal annual cost = 4.17% * (365 days / 25 days)
Nominal annual cost ≈ 60.64%
Hence, the cost per period of trade credit for Tasty Tuna Corporation is approximately 4.17%, and the nominal annual cost of trade credit is approximately 60.64%.
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You run a nail salon. Fixed monthly cost is $5,432.00 for rent and utilities, $5,801.00 is spent in salaries and $1,420.00 in insurance. Also every customer requires approximately $2.00 in supplies. You charge $71.00 on average for each service.
You are considering moving the salon to an upscale neighborhood where the rent and utilities will increase to $10,140.00, salaries to $6,230.00 and insurance to $2,390.00 per month. Cost of supplies will increase to $7.00 per service. However you can now charge $152.00 per service. At what point will you be indifferent between your current location and the new location?
_______Submit
Answer format: Number: Round to: 2 decimal places.
After comparing the monthly profits between the two scenarios, we found that you will be indifferent when there are 174 customers in current location and around 62 in the new location.
To determine the point at which you would be indifferent between your current location and the new location, we need to compare the monthly profits between the two scenarios.
In the current location:
Total monthly fixed costs:
Rent and utilities: $5,432.00
Salaries: $5,801.00
Insurance: $1,420.00
Total monthly variable costs per customer:
Supplies: $2.00
Average service charge: $71.00
In the new location:
Total monthly fixed costs:
Rent and utilities: $10,140.00
Salaries: $6,230.00
Insurance: $2,390.00
Total monthly variable costs per customer:
Supplies: $7.00
Average service charge: $152.00
Let's calculate the monthly profits for both scenarios and find the point of indifference.
Current location:
Profit per customer = Average service charge - Total variable costs per customer
Profit per customer = $71.00 - $2.00 = $69.00
Number of customers required to cover the fixed costs:
Number of customers = Total fixed costs / Profit per customer
Number of customers = ($5,432.00 + $5,801.00 + $1,420.00) / $69.00
New location:
Profit per customer = Average service charge - Total variable costs per customer
Profit per customer = $152.00 - $7.00 = $145.00
Number of customers required to cover the fixed costs:
Number of customers = Total fixed costs / Profit per customer
Number of customers = ($10,140.00 + $6,230.00 + $2,390.00) / $145.00
Now we can compare the number of customers required in each scenario to find the point of indifference.
Let X be the number of customers required.
Current location:
X = ($5,432.00 + $5,801.00 + $1,420.00) / $69.00
X ≈ 173.36
New location:
X = ($10,140.00 + $6,230.00 + $2,390.00) / $145.00
X ≈ 61.52
Therefore, you would be indifferent between your current location and the new location when you have approximately 174 customers in your current location or 62 customers in the new location.
Submit: 174
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Determining values-Convertible bond Craig's Cake Company has an outstanding issue of 21-year convertible bonds with a $2,000 par value. These bonds are convertible into 65 shares of common stock. They have a 14% annual coupon interest rate, whereas the interest rate on straight bonds of similar risk is 11%.
a. Calculate the straight bond value of this bond b. Calculate the conversion (or stock) value of the bond when the market price is $9 per share of common stock c. What is the minimum market value of the bond?
The straight bond value of the convertible bond is approximately $2,545.45. The conversion value of the bond, when the market price is $9 per share of common stock, is $585. The minimum market value of the bond is approximately $2,545.45.
a. To calculate the straight bond value of the convertible bond, we can use the formula:
Straight Bond Value = Annual Coupon Payment / Discount Rate
Given:
- Par value of the bond: $2,000
- Annual coupon interest rate: 14% (0.14)
- Interest rate on straight bonds of similar risk: 11% (0.11)
Annual Coupon Payment = Coupon Rate * Par Value
Annual Coupon Payment = 0.14 * $2,000
Annual Coupon Payment = $280
Discount Rate = Interest Rate on Straight Bonds
Discount Rate = 0.11
Straight Bond Value = $280 / 0.11
Straight Bond Value ≈ $2,545.45
Therefore, the straight bond value of the convertible bond is approximately $2,545.45.
b. To calculate the conversion value of the bond, we multiply the number of shares the bond can be converted into by the market price per share of common stock:
Conversion Value = Number of Shares * Market Price per Share
Given:
- Number of shares the bond can be converted into: 65
- Market price per share of common stock: $9
Conversion Value = 65 * $9
Conversion Value = $585
Therefore, the conversion value of the bond, when the market price is $9 per share of common stock, is $585.
c. The minimum market value of the bond is determined by comparing the straight bond value and the conversion value, and taking the higher of the two values. In this case, the minimum market value would be the straight bond value of $2,545.45.
Therefore, the minimum market value of the bond is approximately $2,545.45.
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hich of the following are the three important stakeholder attributes managers must pay particular attention to during stakeholder impact analysis? (check all that apply.)
During stakeholder impact analysis, managers must pay particular attention to three important stakeholder attributes. These attributes are power, legitimacy, and urgency.
1. Power: Power refers to the ability of stakeholders to influence the decisions and actions of the organization. Stakeholders with high power have the capacity to exert significant influence, while those with low power have limited influence. For example, shareholders have power due to their ownership of the company's shares, and they can use this power to vote on important matters.
2. Legitimacy: Legitimacy refers to the stakeholders' perceived validity or appropriateness in being involved in the organization's activities. Legitimate stakeholders are those who have a rightful claim to be included in decision-making processes. For instance, employees and customers have legitimacy as they directly interact with the organization.
3. Urgency: Urgency relates to the timeframe in which stakeholders' needs and concerns must be addressed. Some stakeholders may require immediate attention, while others can wait. For instance, a safety issue raised by a community near a factory would be urgent, as it requires immediate action to prevent harm.
In stakeholder impact analysis, managers need to carefully consider these three attributes to effectively manage relationships and make informed decisions that consider the needs and interests of different stakeholders.
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1. Tell me about yourself (note. Completed my graduation From
North South University in Computer Science and Engineering And
Currently I am an Employee of SEBPO for the position holding
Executive).
I completed my graduation in Computer Science and Engineering from North South University. Currently, I am working as an Executive at SEBPO.
During my time at North South University, I gained a strong foundation in computer science and engineering.
I was exposed to various programming languages, software development methodologies, and problem-solving techniques. This education equipped me with the skills necessary to excel in the TECHNOLOGY industry.
As an Executive at SEBPO, I have been involved in various responsibilities related to my field. I have actively participated in project management, coordinating tasks, and ensuring timely completion of deliverables. Additionally, I have collaborated with cross-functional teams, including developers, designers, and quality assurance professionals, to ensure the successful execution of projects.
My role also involves analyzing client requirements, providing technical expertise, and offering innovative solutions to enhance efficiency and productivity. I have gained valuable experience in handling client interactions, addressing their concerns, and delivering high-quality results.
I am passionate about staying updated with the latest advancements in the field of technology. I continuously strive to enhance my knowledge and skills by engaging in professional development opportunities, attending workshops, and exploring new technologies.
Overall, my educational background and professional experience have shaped me into a motivated and dedicated individual, ready to contribute to the growth and success of the organization I work for.
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Q2./5 Explain the Bank of Canada’s monetary policy
implemented during the beginning of the pandemic. How does it
compare to the Bank of Canada’s monetary policy in July 2022? Be
specific. (200 wor
Any changes to monetary policy will need to be carefully considered and communicated to the public in a clear and transparent manner.
During the beginning of the pandemic, the Bank of Canada implemented an expansionary monetary policy to help support the economy. The following are some of the measures that were implemented:
Interest rates were lowered: The Bank of Canada lowered the overnight lending rate to near zero in March 2020, making it easier and cheaper for banks to borrow money from the central bank. This reduction in interest rates was meant to encourage borrowing and spending, which would help stimulate the economy.
Liquidity facilities were established: The Bank of Canada established various liquidity facilities to support the financial system. These facilities were designed to provide banks with access to additional funding and ensure that they had enough liquidity to meet their obligations to their clients.
Quantitative easing was implemented: The Bank of Canada also implemented a quantitative easing program, which involved purchasing government bonds in the open market. This was done to inject additional liquidity into the financial system and support economic growth.
Bank of Canada's monetary policy in July 2022:The Bank of Canada's monetary policy in July 2022 will depend on the economic conditions at that time. However, if the economy has fully recovered, it is likely that the Bank of Canada will begin to normalize its monetary policy. This could involve increasing interest rates and reducing its quantitative easing program to prevent the economy from overheating.
However, it is important to note that the Bank of Canada will need to be cautious in its approach to tightening monetary policy, as a premature tightening could lead to a slowdown in economic growth.
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Identify the six processes for project integration management,
and summarize key work involved in each process.
Project integration management ensures that all project components are effectively coordinated, integrated, and aligned with the project objectives to deliver successful outcomes.
The following are six processes that make up project integration management:
Develop Project Charter: The Project Charter provides formal authorization to start a project. It is a high-level document that establishes the project and names its goals and objectives. The charter may be produced by the project manager or a senior member of the organization.Develop Project Management Plan: The Project Management Plan describes how the project will be executed, controlled, monitored, and closed. It's a comprehensive document that provides guidance to the project team throughout the project life cycle.Direct and Manage Project Work: This process aims to perform the project work as outlined in the project plan. Project progress is monitored and documented as the work is carried out, and changes are made to the project plan as required.Monitor and Control Project Work: The project's performance is measured, tracked, and reported on in this process. Work results and progress are compared to the project plan and corrective actions are taken if necessary.Perform Integrated Change Control: This process helps to monitor and evaluate changes to project deliverables, schedules, budgets, and other components. These changes are accepted or rejected based on the project's impact.Close Project or Phase: Once all of the project's work has been completed, this process is used to formally close the project or phase. Administrative and contractual procedures are completed, the project team is released, and the project is handed over to the customer.For more such questions on management
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A builder from State A sued a homeowner from State B for breach of contract in federal court, alleging that the homeowner failed to pay the second half of the agreed-upon price for completion of construction on a house.
Details and circumstances surrounding the case may affect the jurisdiction and choice of court, and consulting with a legal professional is advised for accurate advice tailored to the situation.
A builder from State A sues a homeowner from State B for breach of contract in federal court, the jurisdiction invoked is likely based on diversity jurisdiction. Diversity jurisdiction allows cases to be brought in federal court when there is diversity of citizenship between the parties involved and the amount in dispute meets a certain threshold.
For a federal court to have diversity jurisdiction, the following conditions must generally be met:
1. The parties involved are citizens of different states. In this case, the builder from State A and the homeowner from State B represent different states.
2. The amount in controversy exceeds the statutory minimum. The specific threshold may vary, but typically it is set at $75,000 or more.
Based on the breach of contract claim and the involvement of parties from different states, the builder may have chosen to file the lawsuit in federal court under diversity jurisdiction to ensure a neutral venue and potentially favorable legal procedures.
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Your company has just purchased a 9-tonne capacity injection moulding machine for $ 138208. A similar machine was purchased eight years ago, but nobody can remember what its price was. The price index for heavy duty equipment in the plastics industry was 209.5 eight years ago and is 153.7 now. The machine price eight years ago: Skip this question to avoid any negative score! $101398 none of the given answers the same as today $234 $188385
The price of the injection molding machine purchased eight years ago, accounting for the change in the price index, would be approximately $101,398.
This figure is obtained by applying the ratio of the old price index to the new one to the current price.
Delving deeper into the calculations, we can use the formula for adjusting prices based on price indices, which is (Old Index / New Index) * Current Price. Here, the old index is 209.5, the new index is 153.7, and the current price is $138,208. Substituting these values into the formula gives us ($209.5 / $153.7) * $138,208 ≈ $101,398. Hence, the price of a similar machine purchased eight years ago would be around $101,398, considering the changes in the industry's price index over these years.
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Assume that a pound of blueberries costs $2. Usually, James purchase 30 pounds of blueberries in one summer, and his neighbour Helen purchases 20 pounds. Suppose the marginal value of each pound of blueberries falls with the quantity. Which of the following is true? O a. Both James and Helen will stop purchasing when the marginal value of the next pound falls below $2. O b. The last pound of blueberries Helen purchases has a higher marginal value than the last pound of blueberries James purchases. O c. The last pound of blueberries James purchases has a higher marginal value than the last pound of blueberries Helen purchases. O d. James must have obtained a higher total value from blueberries than Helen. Oe. The consumer surplus obtained from certain pounds of blueberries can be negative.
Suppose the marginal value of each pound of blueberries falls with the quantity. According to this scenario, the last pound of blueberries James purchases has a higher marginal value than the last pound of blueberries Helen purchases. This statement is correct.
Hence, option (c) is the correct answer.More than 100 words:Marginal value is the increase in total value generated by an additional unit of input. The marginal value decreases as more units of a commodity are consumed. Therefore, for each additional unit purchased, the marginal value of each pound of blueberries consumed will decrease with a decrease in total value. The correct statement from the options is that the last pound of blueberries James purchases has a higher marginal value than the last pound of blueberries Helen purchases.
This statement is correct because the marginal value decreases as more units of a commodity are consumed. When James purchases the first pound of blueberries, his marginal value will be high. As he consumes more blueberries, his marginal value will decrease.Helen will experience the same phenomenon, but since she purchases fewer blueberries than James, the last pound she purchases will have a lower marginal value than the last pound James purchases. It is thus correct to say that the last pound of blueberries James purchases has a higher marginal value than the last pound of blueberries Helen purchases.
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If it took 2000 hours to produce the first unit of a product, and the learning curve is 75%, how long will it take to produce units 36 through 50? O 6316 O 7806 O 0
O 16808
Option a is the correct answer. Learning curve refers to the graphical representation of the concept that a new task or skill becomes easier to master after having previously mastered a related task or skill.
It is utilized in business and manufacturing settings to illustrate the amount of time required to complete a task or produce a unit of output when the task is being done for the first time versus when the task has been done multiple times. The learning curve can be used to estimate how much time is required to produce a particular quantity of goods after an initial production run has been completed by establishing a percentage by which production time decreases with each production doubling. Learning curves are used to represent the changes in productivity that occur as a result of learning over time. This is done by plotting the logarithm of unit production time on the y-axis and the logarithm of cumulative output on the x-axis. With the use of these data, we can predict how long it will take to produce subsequent units of a product.
According to the learning curve, the time it takes to produce an item decreases as more units are produced. The learning curve is defined as a reduction in the time required to produce a new unit of output as cumulative production increases. If it took 2000 hours to produce the first unit of a product, and the learning curve is 75%, then the time required to produce the 50th unit will be
2000 * (0.75)^(log2(50/1)) = 322 hours.
Thus, it will take 36-50 units: 322(0.75^log2(50/36)-0.75^log2(36/1)) = 6316 hours.
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MC algo 2-28 Calculating Depreciation Last year, Bad Tattoo Company had additions to retained earnings of $5,290 on sales of $97,030. The company had costs of $76,710, dividends of $3,340, and interes
Bad Tattoo Company's depreciation expense for last year is found to be $11,980.
Depreciation is a method of allocating the cost of a tangible asset over its useful life. Depreciation occurs due to wear and tear that reduces the asset's usefulness or the expiration of its utility, and it applies to assets such as buildings, equipment, and vehicles, among others.
Calculation of Depreciation
Depreciation expense is computed using the following formula:
Depreciation Expense = (Cost of Asset - Salvage Value) / Useful Life
Depreciation expense is the amount of a fixed asset that has been assigned to an accounting period. It is a non-cash charge, which means that it is deducted from the company's earnings, but it does not require the expenditure of cash.The following information is provided:
Sales = $97,030
Costs = $76,710
Dividends = $3,340
Additions to retained earnings = $5,290
Interest = not provided
Additions to retained earnings = Net Income - Dividends
Additions to retained earnings = Net Income - $3,340
Additions to retained earnings = Sales - Costs - Depreciation - $3,340$5,290
= $97,030 - $76,710 - Depreciation - $3,340
Depreciation = $11,980
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1. Which of the following is considered out of the labor force? A) the unemployed
B) those temporarily laid off who will soon be recalled
C) those who worked full time, but in a family business
D) those individuals who have started searching for employment for the first time
E) none of these
2. Assume the non-institutional civilian population is 300 million, of which 120 million are employed and 12 million are unemployed. Based on this information above, the unemployment rate is
A) 9.1%.
B) 6.6%.
C) 4%.
D) 10%.
E) 11.1%.
3. Based on the information in Question 2 above, the labor force participation rate is A) 36%.
B) 40%.
C) 44%.
D) 90.1%.
E) 66%.
(1)The Labor force consists of both Employed and Unemployed. The temporarily laid off person is counted as unemployed. Hence, it will a part of the labor force. A person worked full time in the family business is term as employed. Hence, it will be a part of the labor force. A person who started searching for a job for the first time is considered unemployed. Hence, it will a part of the labor force. Thus, Option (e) i.e., none of the above is correct.
(2) Bases on the given information, the unemployment rate is 9.1%. Thus, the correct answer is option A.
(3) The labor force participation rate is 44%. Thus, the correct answer is Option (C).
The term "workforce" or "labor force" refers to the group of people who are either employed or unemployed. It usually refers to people who work for a certain organization or sector, but it can also refer to a specific geographic area like a city, state, or nation.
2. The unemployment rate is calculated as:
Labor force = employed + unemployed
= 100 million + 10 million
= 110 million.
Unemployment rate = (Unemployed / Labor force)*100
= (10 million / 110 million) * 100
= 9.09%
Unemployment rate = 9.1%
3. Civilian population not in the military is 250 million. It means non-institutionalized population is 250 million. The formula for labor force participation rate is :
Labor force participation rate = (Labor force / non-institutionalized population) * 100
= (110 million / 250 million) * 100
= 44%
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Assume BigData Inc. has no cash on hand, but wants to take on a project that adds $70 million in market value to the firm's assets, and has an NPV of $30 million. The project requires an initial investment of $40 million. BigData Inc. wants to maintain their 50% Debt to Value Ratio. How much debt should they issue, and how much should they either pay stockholders in dividends or raise from stockholders via new equity issuance?
Issue $35 million in debt, issue $5 million of new equity
Issue $35 million in debt, pay stockholders $5 million in dividends
Issue $20 million in debt, issue $20 million of new equity
Issue $40 million in debt, pay stockholders $5 million in dividends
BigData Inc. needs to issue debt and either pay stockholders dividends or raise from stockholders via new equity issuance in order to fund the project that adds $70 million in market value to the firm’s assets and has an NPV of $30 million.
The project requires an initial investment of $40 million. BigData Inc. wants to maintain their 50% Debt to Value Ratio.
To answer the question, BigData Inc. should issue $35 million in debt and issue $5 million of new equity. This fulfills the requirement of raising $40 million to fund the project and maintains their Debt to Value Ratio at 50%, since at the end of the project, the debt is still going to be 50% of the total market value and the equity will be the other 50%.
Paying stockholders $5 million in dividends would take away from the initial investment of $40 million and only leave $35 million to fund the project. This would not generate enough money to fund the project and also would not maintain the Debt to Value ratio of 50%, since the debt would represent 43.75% of the total market value and the equity would represent 56.25%.
Issuing $20 million in debt and $20 million of new equity would also not maintain the 50% Debt to Value Ratio, since the debt would be 33.3% of the total market value and the equity would be 66.7%. This ratio should only be used if the desired target Debt to Value Ratio at the end of the project is lower than 50%.
Issuing $40 million in debt and paying stockholders $5 million in dividends would also not suffice because this would push the Debt to Value ratio of BigData Inc. past the 50% mark, meaning more debt than equity. This is not the most efficient way to fund the project, as a higher Debt to Value ratio would increase BigData Inc.’s risk of not being able to pay off the debt.
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Suppose The Current Yield On A One-Year Zero-Coupon Bond Is 4%, While The Yield On A Five-Year Zero-Coupon Bond Is 5%. Neither Bond Has Any Risk Of Default. Suppose You Plan To Invest For One Year. You Will Earn More Over The Year By Investing In The Five-Year Bond As Long As Its Yield Does Not Rise Above What Level? (Assume $1 Face Value Bond.) Hint: It Is
The yield on the five-year bond should not rise above 4.8% in order for investing in it to earn more over one year compared to the one-year bond.
To determine the yield threshold, we need to compare the total returns of the two bonds. The one-year bond has a yield of 4%, meaning it will earn $0.04 on a $1 investment. The five-year bond has a yield of 5%, resulting in a return of $0.05 on a $1 investment over five years.
To find the equivalent one-year return for the five-year bond, we need to calculate the compound annual growth rate (CAGR) based on the yield. Using the formula:
CAGR = (Ending Value / Beginning Value)^(1 / Number of Years) - 1
We can solve for the ending value when investing $1 for five years at a 5% yield: Ending Value = $1 * (1 + 0.05)^5 = $1.2763
Now, we can calculate the equivalent one-year return for the five-year bond: Equivalent One-Year Return = Ending Value - Beginning Value = $1.2763 - $1 = $0.2763
Comparing this with the one-year bond's return of $0.04, the five-year bond will be more profitable as long as its yield does not exceed: Equivalent One-Year Yield = Equivalent One-Year Return / Beginning Value = $0.2763 / $1 = 0.2763 = 27.63%
Therefore, the yield on the five-year bond should not rise above 27.63% for it to earn more over one year compared to the one-year bond.
Investing in the five-year bond will result in higher returns over one year compared to the one-year bond as long as the yield on the five-year bond remains below 27.63%.
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You have just received a windfall from an investment you made in a friend's business. She will be paying you $22,468 at the end of this year, $44,936 at the end of next year, and $67,404 at the end of the year after that (three years from today). The interest rate is 13.1% per year. a. What is the present value of your windfall? b. What is the future value of your windfall in three years (on the date of the last payment)? a. What is the present value of your windfall? The present value of your windfall is $ (Round to the nearest dollar.) b. What is the future value of your windfall in three years (on the date of the last payment)? The future value of your windfall in three years is ......$. (Round to the nearest dollar.)
a. The present value of your windfall:The present value of your windfall is the value of the sum of money today, i.e., what the sum of money would be worth today.
The formula to calculate the present value of your windfall is given by: PV = FV / (1 + r)nwhere, PV is the present value, FV is the future value, r is the interest rate per period, and n is the number of periods.So, we have the following values: PV = ?, FV = 22,468 + 44,936 + 67,404 = 134,808, r = 13.1%, and n = 1 + 1 + 1 = 3. We get:PV = 134,808 / (1 + 0.131)3= 83,100Therefore, the present value of your windfall is $83,100 (rounded to the nearest dollar).b. The future value of your windfall in three years:The future value of your windfall in three years is the value of the sum of money at the end of three years, i.e., what the sum of money would be worth in three years.
The formula to calculate the future value of your windfall is given by: FV = PV × (1 + r)nwhere, FV is the future value, PV is the present value, r is the interest rate per period, and n is the number of periods.So, we have the following values: FV = ?, PV = 134,808, r = 13.1%, and n = 3. We get:FV = 134,808 × (1 + 0.131)3= 243,091Therefore, the future value of your windfall in three years is $243,091 (rounded to the nearest dollar).
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Assume the following relationships for the Caulder Corp.: Sales/Total assets 1.6× Return on assets (ROA) 8.0% Return on equity (ROE) 14.0% Calculate Caulder's profit margin and debt-to-capital ratio assuming the firm uses only debt and common equity, so total assets equal total invested capital. Do not round intermediate calculations. Round your answers to two decimal places.
Profit margin: %
Debt-to-capital ratio: %
???PLEASE ANSWER ASAP
The Profit margin is 3.20% and Debt-to-capital ratio is 30.36%.
Assuming the given relationships for the Caulder Corp. as Sales/Total assets = 1.6×,
Return on assets (ROA) = 8.0%, and
Return on equity (ROE) = 14.0%.
Profit margin: The profit margin is calculated as the percentage of sales that contribute to the company's net profit. The formula to calculate the profit margin is given as follows:
Profit Margin = Net Income / Sales
Since the Caulder Corp. has only equity and debt financing, the formula for calculating the net income will be as follows:
Net income = Earnings before interest and taxes (EBIT) - Interest
The formula for calculating EBIT is given as follows:
EBIT = Net Income + Interest + Taxes
Profit Margin = (Net Income / Sales) × 100
Net Income = EBIT - Interest
Since the Caulder Corp. has only equity and debt financing, the total assets equal total invested capital.
Total invested capital = Total Debt + Total Equity
Now, we will use the above values to calculate the profit margin of the Caulder Corp.
Profit Margin = (Net Income / Sales) × 100
Net Income = EBIT - Interest
Net Income = EBIT - Interest
Net Income = (ROA × Total Assets) - Interest
Total Invested Capital = Total Debt + Total Equity
Total Assets = Total Debt + Total Equity
Profit Margin = (Net Income / Sales) × 100
Profit Margin = [((ROA × Total Assets) - Interest) / Sales] × 100
Profit Margin = [(0.08 × Total Invested Capital) - Interest / (Sales / Total Assets)] × 100
Profit Margin = [(0.08 × Total Invested Capital) - Interest / 1.6] × 100
Debt-to-capital ratio:
The debt-to-capital ratio is calculated as the proportion of debt and equity financing in the company. It gives an idea of the company's long-term financial stability. The formula for calculating the debt-to-capital ratio is given as follows:
Debt-to-Capital Ratio = Total Debt / (Total Debt + Total Equity)
Debt-to-Capital Ratio = Total Debt / Total Invested Capital
Now, we will use the above values to calculate the debt-to-capital ratio of the Caulder Corp.
Debt-to-Capital Ratio = Total Debt / Total Invested Capital
Debt-to-Capital Ratio = Total Debt / (Total Debt + Total Equity)
Debt-to-Capital Ratio = Total Debt / Total Invested Capital
Profit margin = 3.20% (rounded to two decimal places)
Debt-to-capital ratio = 30.36% (rounded to two decimal places).
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answer to the best of your ablity
2. (This question is just an applied version of the previous one.) Suppose that you invented a product that picks fruit faster than any other fruit picker on the market. In fact, your machine picks 10
The rent for the fruit-picking machine would be determined by assessing the 10% increase in revenue it provides to farmers while considering its operational costs. However, capturing the entire productivity increase in the rent may not be possible due to factors such as market competition and negotiation dynamics.
To set the rent for the fruit-picking machine, you would consider several factors. Firstly, you would assess the value that the machine adds to the farmers' revenue by increasing their productivity. Since the machine picks 10% more fruit, it generates an additional 10% in revenue for the farmers. You would likely want to capture a portion of this increased revenue in the rent.
To determine the rent amount, you would need to consider the costs associated with the machine, including its maintenance, depreciation, and any other operational expenses. These costs should be covered by the rent, ensuring that you can maintain and provide the machine to farmers.
However, it is important to recognize that you may not be able to capture the entire 10% increase in productivity in your rent. There are several reasons for this. Firstly, you would need to consider the competitive landscape. If there are other fruit-picking machines available in the market, farmers may have alternative options to choose from. To remain competitive, you may need to set the rent at a level that aligns with or slightly exceeds the market rates for similar machines.
Additionally, the farmers themselves may negotiate for a lower rent or seek to share the benefits of the increased productivity. They might argue that part of the increased revenue should be retained by them as a reward for their investment in renting the machine. Negotiations and market dynamics can influence the final rent amount, potentially limiting your ability to capture the entire increase in productivity.
In summary, when setting the rent for the fruit-picking machine, you would consider the value it adds to farmers' revenue while also accounting for operational costs and competitive factors. The rent amount may not capture the entire increase in productivity due to market competition and negotiations with farmers who may seek to share in the benefits of the machine's improved efficiency.
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Suppose that you invented a product that picks fruit faster than any other fruit picker on the market. In fact, your machine picks 10% more fruit in a day than a comparable machine, and its operating cost is the same as the comparable machine. Thus, the farmers using it will make 10% more revenue per day with no increase in operating cost. You want to rent this machine to farmers during the harvest season. The rent is set by the day. Explain briefly how you would go about setting the rent you will charge for this machine. Why might you not be able to capture the entire increase in productivity in your rent?
You are considering buying a new home for 5 million. Suppose you borrow 85% of the purchase amount and suppose first that you will pay an interest rate of 0.4% per month.
a) What is the effective annual interest rate on your loan?
b) Suppose you repay the loan in equal monthly installments over 20 years, how much do you need to pay each month?
c) Suppose the effective annual interest rate increases to 14% per year. What is the new monthly interest rate?
d) In the scenario in c), what are your new monthly payments?
e) Suppose you can afford to pay mortgage payments of 20 000 per month and suppose you have 750 000 in equity. Suppose there no restrictions on how much you can borrow except for your ability to pay the monthly installments. What is the maximum bid you can afford if the monthly interest rate is 0.4%?
f) Reconsider the situation in e), but now the effective annual interest rate is 14%. What is your maximum bid?
g) Given the previous subquestions, what is the likely effect on house prices if the prevailing interest rates increase substantially? Briefly explain.
Already did a), b), c) and d), and the answers are:
a) 4.91%
b) 27580.69
c)1.1%
d)50398.74
The loan has an annual effective interest rate of 6.17%. After that you will have to pay about $27,580.69 each month if you return the loan in 20 equal monthly installments. The increased monthly interest rate would be roughly 1.1% if the effective yearly interest rate rose to 14% per year.
Your new monthly payments, in the case where the effective annual interest rate is 14%, would be roughly $50,398.74. The highest bid you could afford would be roughly $5,296,659 if you can afford $20,000 in mortgage payments each month, have $750,000 in equity, and assume a monthly interest rate of 0.4%.
If you take the current circumstances into consideration and use an effective yearly interest rate of 14%, your maximum bid would be roughly $3,961,639. If the current interest rates significantly rise, it is possible that affordability would drop and housing demand may decrease, which will have an impact on house prices.
a) The effective annual interest rate on your loan is 6.17%.
This can be calculated by using the formula for converting the monthly interest rate to an annual rate:
Effective Annual Interest Rate = (1 + Monthly Interest Rate)^12 - 1
Substituting the given monthly interest rate of 0.4%, we get:
Effective Annual Interest Rate = (1 + 0.004)^12 - 1 ≈ 0.0617 or 6.17%
b) If you repay the loan in equal monthly installments over 20 years, you need to pay approximately $27,580.69 each month. This can be calculated using the formula for the monthly payment of an amortizing loan:
Monthly Payment = Loan Amount * Monthly Interest Rate / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))
Substituting the loan amount of 85% of $5 million, a monthly interest rate of 0.4%, and the number of payments as 20 years * 12 months per year, we get:
Monthly Payment = 0.85 * $5,000,000 * 0.004 / (1 - (1 + 0.004)^(-20*12)) ≈ $27,580.69
c) If the effective annual interest rate increases to 14% per year, the new monthly interest rate would be approximately 1.1%.
This can be calculated by dividing the annual interest rate by 12:
Monthly Interest Rate = 14% / 12 = 0.011 or 1.1%
d) In the scenario where the effective annual interest rate is 14% per year, your new monthly payments would be approximately $50,398.74. Using the same formula as in part b, but with the new interest rate, we get:
Monthly Payment = 0.85 * $5,000,000 * 0.011 / (1 - (1 + 0.011)^(-20*12)) ≈ $50,398.74
e) If you can afford to pay mortgage payments of $20,000 per month and have $750,000 in equity, and assuming a monthly interest rate of 0.4%, the maximum bid you can afford would be approximately $5,296,659.
This can be calculated using the formula for the loan amount:
Loan Amount = (Monthly Payment / Monthly Interest Rate) * (1 - (1 + Monthly Interest Rate)^(-Number of Payments)) + Equity
Substituting the given values, we get:
Loan Amount = ($20,000 / 0.004) * (1 - (1 + 0.004)^(-20*12)) + $750,000 ≈ $5,296,659
f) Reconsidering the situation with an effective annual interest rate of 14%, your maximum bid would be approximately $3,961,639. Using the same formula as in part e, but with the new interest rate, we get:
Loan Amount = ($20,000 / 0.011) * (1 - (1 + 0.011)^(-20*12)) + $750,000 ≈ $3,961,639
g) The likely effect on house prices if the prevailing interest rates increase substantially is a decrease in affordability and a potential decline in housing demand.
When interest rates rise, the cost of borrowing increases, making it more expensive for individuals to obtain financing for purchasing homes. This can lead to a decrease in the number of qualified buyers and put downward pressure on house prices as demand weakens.
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Which one of the following is true about hypotheses tests for comparing two population means?
A. Comparing two population means can only be done using a two tail test.
B. Both one tail tests and two tails tests are possible to be specified and tested.
C. Comparing two population means can only be done using a one tail test.
D. A two tail test is possible for comparing two population means, but only if the population standard deviations are known.
B. Both one tail tests and two tails tests are possible to be specified and tested.
Hypothesis tests for comparing two population means can be performed using both one-tail tests and two-tail tests.
A one-tail test is used when there is a specific directional hypothesis (e.g., mean A is greater than mean B). A two-tail test is used when there is no specific directional hypothesis (e.g., mean A is not equal to mean B). The choice between one-tail and two-tail tests depends on the research question and the nature of the hypothesis being tested. Additionally, the D stating that a two-tail test is only possible when the population standard deviations are known is in. The t-test can be used for comparing two population means even when the population standard deviations are unknown, by using the sample standard deviations instead.Hypothesis testing for comparing two population means is typically done using the t-test. The t-test allows us to determine if there is a significant difference between the means of two populations based on a sample from each population.
In hypothesis testing, we start with a null hypothesis (H0) that assumes no difference between the population means. The alternative hypothesis (Ha) states that there is a significant difference between the means.
A. Comparing two population means can only be done using a two-tail test.
This statement is not true. As mentioned earlier, we can use both one-tail tests and two-tail tests for comparing two population means. The choice depends on the specific research question and the directional hypothesis we want to test.
C. Comparing two population means can only be done using a one-tail test.
This statement is also not true. One-tail tests are used when we have a specific directional hypothesis (e.g., mean A is greater than mean B or mean A is less than mean B). However, we can also use a two-tail test when we have no specific directional hypothesis (e.g., mean A is not equal to mean B).
D. A two-tail test is possible for comparing two population means, but only if the population standard deviations are known.
This statement is in. The t-test can be used for comparing two population means even when the population standard deviations are unknown. In practice, we often rely on the sample standard deviations to estimate the population standard deviations.
In summary, B is : Both one-tail tests and two-tail tests are possible for comparing two population means. The choice between them depends on the research question and the directional hypothesis. The t-test can be used regardless of whether the population standard deviations are known or unknown.
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MBSE can help manage revisions, have one source of truth for the design, read up on the A380 project management failure and how could MBSE have helped resolve this project failure
The MBSE approach can prevent project failure by providing better communication between teams, reducing misinterpretations of requirements, and ensuring compliance with project objectives.
Model-Based Systems Engineering (MBSE) can help manage revisions, maintain a single source of truth for the design and avoid the A380 project management failure. The MBSE approach integrates all aspects of systems engineering within a single model and provides better communication between teams by providing a shared understanding of the system. In the case of the A380 project, the MBSE approach could have resolved the project failure in several ways. For instance, the MBSE approach could have helped identify the critical elements of the project, thus reducing the risk of project failure. Additionally, the MBSE approach would have helped communicate the critical elements of the project to all stakeholders, reducing misinterpretations of critical requirements. The MBSE approach also has the potential to provide traceability between requirements and the design, thereby ensuring compliance with the project objectives.
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Tillicum Corporation needs to raise funds to finance a plant expansion, and it has decided to issue 25-year zero-coupon bonds to raise the money. The required return on the bonds will be 7%. 5 points eBook Print References What will these bonds sell for at issuance? (Round the final answer to 2 decimal places. Omit $ sign in your response.)
Zero-coupon bonds are debt securities that pay no interest. Instead of interest payments, a zero-coupon bond is issued at a discount from face value, and the investor earns the face value of the bond when it reaches maturity.
A zero-coupon bond's price is influenced by the bond's time to maturity, its face value, and the prevailing interest rates. Tillicum Corporation has decided to issue 25-year zero-coupon bonds to raise the required capital for the plant expansion.
The required return on the bonds will be 7%. To find out what the bonds will sell for at issuance, we will use the following formula PV = FV / (1 + r)tnWhere:PV = Present value of the bondFV = Face value of the bondr = Required rate of returnt = Time to maturity in years Applying the above formula:P V = 1 , 000 / ( 1 + 0 . 0 7 ) 25P V = 1 , 000 / ( 1 . 0 7 ) 2 5P V = $ 2 2 3. 3 3 6. 9 5 ,Therefore, the bonds will sell for $223.37 at issuance (rounded to 2 decimal places, omitting the $ sign). Hence, the answer is $223.37.
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QUALIFYING BORROWERS Calculating Their Income Calculating the income of a borrower is not something that the real estate agent would necessarily be required to do. However, the real estate licensee should understand the process and be able to work it through. You must first know the borrower's income. If paid hourly: 1. Hourly wages are multiplied by the guaranteed number of hours worked per week to total a weekly income. (typically a 40 -hour work week is assumed) 2. The weekly income is multiplied by 52 weeks to total an annual income. 3. The annual income is divided by 12 to total a monthly income. If salary and paid weekly: 1. Weekly wages are multiplied by 52 weeks to total the annual income. 2. The annual income is divided by 12 to total the monthly income. If salary and paid bi-weekly: 1. The salary amount is multiplied by 26 to total the annual income. 2. The annual income is divided by 12 to total the monthly income. 3. Some borrowers are paid twice monthly, so it would be X24, then divided by 12 If on an annual salary, simply divide the annual salary by 12 to total the monthly income. Overtimes wages are typically only considered if they have been steady and can be documented and the employer states the overtime is likely to continue. Generally, if a potential borrowed is a part-time employee, the lender will look to the employer's verification of employment to determine the average number of hours worked per week and the likelihood of continued employment at the same number of hours per week. EXAMPLE: Jim makes $12.25 per hour and his wife, Jessie, makes $13.10 per hour. They both work 40-hour work weeks. JIm=$12.25×40=$490,$490X52=$25,480,$25,480÷12=$2,123.33 per month Jessie =$13.10×40=$524,$524×52=$27,248,$27,248+12=$2,270.67 per month $2,123.33+$2,270.67=$4,394 Combined monthly income So, based on the above information, calculate the monthly incomes for the following potential borrowers: 1. Bob & Bobbi Bob makes $8.50 per hour and works a normal 40 hour workweek. Bobbi grosses $350.00 per week. Bob's monthly income: Bobbi's monthly income: Their combined monthly income: 2. Bert and Emestine Bert and Emestine are both warehouse supervisors. Bert makes $17.15 per hour and Emestine makes $18.25. Both work 40 hour work weeks. Bert's monthly income: Emestine's monthly income: Their combined Monthly income: 3. Lenny and Lorri Lenny and Lorri are young professionals. Lenny has an annual salary of $72,500. Lorri also has a pretty good job with a salary of $2,200 every two weeks. Lenny's monthly income: Lorri's monthly income: Their combined monthly icome: 4. Barbara Barbara is a nurse and makes $37.50 per hour. She works 10-hour shifts. Her schedule is great: just 3 days one week and 4 days the next in a constant rotation like that. She's paid every two weeks. Barbara's monthly income:
- Monthly income: ($13,125 × 26) ÷ 12 = $28,437.50
1. Bob & Bobbi:
- Bob's monthly income:
- Bob's hourly wage: $8.50
- Number of hours worked per week: 40
- Weekly income: $8.50 × 40 = $340
- Monthly income: $340 × 4 = $1,360
- Bobbi's monthly income:
- Bobbi's weekly income: $350.00
- Monthly income: $350.00 × 4 = $1,400
- Their combined monthly income:
- $1,360 + $1,400 = $2,760
2. Bert and Emestine:
- Bert's monthly income:
- Bert's hourly wage: $17.15
- Number of hours worked per week: 40
- Weekly income: $17.15 × 40 = $686
- Monthly income: $686 × 4 = $2,744
- Emestine's monthly income:
- Emestine's hourly wage: $18.25
- Number of hours worked per week: 40
- Weekly income: $18.25 × 40 = $730
- Monthly income: $730 × 4 = $2,920
- Their combined monthly income:
- $2,744 + $2,920 = $5,664
3. Lenny and Lorri:
- Lenny's monthly income:
- Lenny's annual salary: $72,500
- Monthly income: $72,500 ÷ 12 = $6,041.67
- Lorri's monthly income:
- Lorri's salary every two weeks: $2,200
- Monthly income: ($2,200 × 26) ÷ 12 = $4,766.67
- Their combined monthly income:
- $6,041.67 + $4,766.67 = $10,808.34
4. Barbara:
- Barbara's monthly income:
- Barbara's hourly wage: $37.50
- Number of hours worked per shift: 10
- Number of shifts per pay period (2 weeks): (3 days × 5 shifts) + (4 days × 5 shifts) = 35 shifts
- Bi-weekly income: $37.50 × 10 × 35 = $13,125
- Monthly income: ($13,125 × 26) ÷ 12 = $28,437.50
Note: These calculations are based on the given formulas and assumptions provided.
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Suppose you deposit $800 every year for 10 years starting year 3 in a savings account that earns 8% yearly. What is the equivalent value in period 5 ? $4,631.93
$3,104.61
$6,762.22
$4,174.09
$4,174.09To calculate the equivalent value in period 5, we need to determine the future value of the annual deposits made from year 3 to year 10, considering an 8% yearly interest rate.
Step 1: Calculate the future value of the annual deposits from year 3 to year 10:
Using the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future Value
P = Annual deposit amount = $800
r = Interest rate per period = 8% = 0.08
n = Number of periods = 10 - 3 + 1 = 8 (deposits made from year 3 to year 10)
Plugging in the values, we get:
FV = $800 * [(1 + 0.08)^8 - 1] / 0.08
= $800 * (1.08^8 - 1) / 0.08
≈ $5,310.67
Step 2: Determine the equivalent value in period 5:
Since the deposits were made from year 3 to year 10, the equivalent value in period 5 corresponds to the future value of the deposits for a period of 5 years. To calculate this, we can use the future value formula again, but with the interest rate adjusted for 5 years:
FV5 = FV * (1 + r)^(-5)
Where:
FV5 = Future Value in period 5
FV = Future Value calculated in step 1
r = Interest rate per period = 8% = 0.08
Plugging in the values, we get:
FV5 = $5,310.67 * (1 + 0.08)^(-5)
≈ $4,174.09
Therefore, the equivalent value in period 5 is approximately $4,174.09.
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