Loss aversion: It is a behavioral bias that refers to the fact that losses are more impactful than gains. It is a person's tendency to avoid losses rather than acquire gains.
Thomas's values the $1500 raise less than Mart values the $3000 raise. And when they receive a $2500 raise, both have positive gains, and their responses will be the same. They will have the same attitude towards the money, so both will be satisfied.
Now, when they each receive a $3500 raise, both have positive gains, and Thomas will have a better response than Mart because he will have more money than usual. The function v(x)=x represents Thomas's and Mart's preferences for good x, and it shows that they are more likely to accept gains than losses.
11) Conventional economics makes the assumption that preferences and indifference curves are unaffected by your present financial situation or starting position. The indifference curve is hence vertical. When the value function for a consumer is v(x)=x for gains and vp+2x for losses, and it reflects preferences for both good x and good y, loss aversion contradicts this premise.
It is when the consumer starts with an endowment of (Ex)=(4,2).The indifference curve for this person is a curve that slopes upward and is steeper for losses than gains. The indifference curve is not reversible because the slope is steeper for losses than for gains.
12) Endowment Effect: It is a behavioral bias that occurs when people tend to place a higher value on things they own than on identical things that they do not own. Willingness to Accept (WTA) is the minimum amount a seller is willing to accept for a product or service. The endowment effect occurs when WTP is lower than WTA.
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A transaction will only happen if and only if the price is between:
The buyer’s value and the buyer’s outside option
The buyer’s value and the seller’s outside option
The buyer’s value and the seller’s cost of production
The buyer’s outside option and the seller’s outside option
The buyer’s outside option and the seller’s cost of production
A transaction will only happen if and only if the price is between the buyer's value and the seller's outside option.
Let's break down the options to understand why this is the correct answer:
- Option 1: The buyer's value and the buyer's outside option. This option doesn't make sense because the buyer's outside option is not directly related to the transaction. The buyer's outside option refers to an alternative choice the buyer has if the transaction doesn't occur, and it is not directly involved in determining the price of the transaction.
- Option 2: The buyer's value and the seller's outside option. This is the correct answer. The buyer's value represents the maximum amount the buyer is willing to pay for the item or service. The seller's outside option refers to an alternative choice the seller has if the transaction doesn't occur. For a transaction to happen, the price needs to fall between the buyer's value and the seller's outside option. This ensures that both the buyer and seller find the transaction mutually beneficial.
- Option 3: The buyer's value and the seller's cost of production. This option doesn't capture the buyer's perspective accurately. The buyer's value is the maximum price the buyer is willing to pay, whereas the seller's cost of production is the cost incurred by the seller to produce the item or service. The transaction price is determined by the buyer's value, not the seller's cost of production.
- Option 4: The buyer's outside option and the seller's outside option. The buyer's outside option is not directly involved in determining the price of the transaction. It refers to an alternative choice the buyer has if the transaction doesn't occur. The seller's outside option also refers to an alternative choice the seller has if the transaction doesn't occur. However, the price of the transaction is determined by the buyer's value and the seller's outside option, not the outside options of both parties.
- Option 5: The buyer's outside option and the seller's cost of production. The buyer's outside option is not directly involved in determining the price of the transaction. The seller's cost of production refers to the cost incurred by the seller to produce the item or service. The transaction price is determined by the buyer's value, not the seller's cost of production.
Therefore, the correct answer is: The transaction will only happen if and only if the price is between the buyer's value and the seller's outside option.
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24) Joe and Jill will be retiring soon and would like to buy a lake house for cash. They estimate that they will need $229,000 to buy the house. If they can earn 6% on their money over the next three years, how much must they invest at the end of each month to have accumulated enough by retirement to buy that house?
a. $5,822
b. $4,962
c. $43,500
d. $4,695
Joe and Jill must invest $5,822 at the end of each month to accumulate enough money by retirement to buy the lake house.
To determine the monthly investment amount, we can use the future value of an ordinary annuity formula:
FV = P * [(1 + r)^n - 1] / r
Where FV is the desired future value, P is the monthly investment amount, r is the monthly interest rate, and n is the number of periods.
Given:
FV = $229,000
r = 6% per year / 12 months = 0.5% per month
n = 3 years * 12 months = 36 months
Plugging in these values, we have:
$229,000 = P * [(1 + 0.005)^36 - 1] / 0.005
Solving for P,
we find:
P ≈ $5,822
Therefore, Joe and Jill must invest approximately $5,822 at the end of each month to accumulate enough money to buy the lake house by retirement.
To achieve their goal of buying a lake house for cash, Joe and Jill should invest around $5,822 at the end of each month. By doing so, and earning a 6% return on their investments over the next three years, they will accumulate enough funds to afford the house by the time they retire.
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A company provides the following data: Annual sales = $40 billion EBIT profit margin = 5% Return on assets = 16% Which of the following statements is correct? The company's EBIT is $2 billion, and its Asset turnover is 0.8 times p.a. The company's average total assets is $12.5 billion, and its Asset turnover is 0.8 times p.a. The company's average total assets is $12.5 billion, and its Asset turnover is 3.2 times p.a. The company's average total assets is $128 billion, and its Asset turnover is 3.2 times p.a. The company's EBIT is $64 billion, and its Asset turnover is 0.8 times p.a.
The statement that is correct is "The company's average total assets are $128 billion, and its Asset turnover is 0.8 times p.a.".
EBIT refers to earnings before interest and taxes. It is calculated by deducting expenses from revenue, such as operating costs, interest paid on debts, and taxes due.
As a result, the firm's EBIT is $2 billion.
A firm's return on assets (ROA) is calculated by dividing its net income by its average total assets.
Therefore, ROA is calculated by dividing net income by average total assets.
Here, the ROA is 16%.
ROA = Net Income / Average Total Assets
= 16%
Annual Sales = $40 Billion.
EBIT = $2 Billion (5% of Annual Sales)
ROA = 16% (Given).
From the given information, we have,
Earning before interest and tax (EBIT) = 5% of Annual Sales
EBIT = 5% × $40 billion
= $2 billion
.Return on Asset (ROA) = 16%.
ROA = Net Income / Average Total Assets
16% = Net Income / Average Total Assets
$6.4 billion = Net Income / Average Total Assets
Average Total Assets = $40 billion / 16%
Average Total Assets = $250 billion
Asset turnover = Annual Sales / Average Total Assets
= $40 billion / $250 billion
= 0.16 times p.a.
Now, the company's Asset turnover is 0.16 times p.a.
To find the average total assets, we will put the values in the formula of ROA.
Average Total Assets = Net Income / ROA
= $40 billion × 5% / 16%
= $12.5 billion / year
Therefore, the company's average total assets are $128 billion, and its Asset turnover is 0.8 times p.a. is the correct option.
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B ipped Book Prim erences Problem 8-12 Variable and Absorption Costing Unit Product Costs and Income Statements; Explanation of Difference in Operating Income [LO1, LO2, LO3] Coverall Inc. produces and sells a unique type of case for a standard-size tablet computer that is guaranteed waterproof but still allows for regular functionality of the tablet. The company has just opened a new plant to manufacture these cases, and the following cost and revenue data have been provided for the first month of the plant's operation in the form of a worksheet:
Variable costing and absorption costing differ in how fixed manufacturing overhead costs are treated. Variable costing considers fixed overhead costs as period expenses, while absorption costing allocates them to units of production.
Variable costing and absorption costing are two different methods used to allocate manufacturing costs to units of production. The main difference between the two lies in how fixed manufacturing overhead costs are treated.
In variable costing, only variable manufacturing costs (such as direct materials, direct labor, and variable overhead) are considered product costs. Fixed manufacturing overhead costs are treated as period costs and are expensed in the period incurred.
This means that fixed overhead costs are not allocated to individual units of production but are rather treated as a cost of doing business for the entire period. Consequently, the unit product cost under variable costing only includes variable costs.
On the other hand, absorption costing considers both variable and fixed manufacturing costs as product costs. Fixed manufacturing overhead costs are allocated to units of production based on a predetermined overhead rate.
This rate is typically calculated by dividing the estimated total fixed overhead costs by the estimated level of activity, such as direct labor hours or machine hours. Consequently, under absorption costing, the unit product cost includes both variable and fixed costs.
The difference in treatment of fixed manufacturing overhead costs between variable and absorption costing can lead to variations in reported income.
This is because fixed overhead costs that are expensed in the period under variable costing are treated as part of the cost of inventory under absorption costing. As a result, the income statements prepared under the two costing methods will differ in the amount of fixed overhead costs recognized as expenses.
When units are sold, the difference in treatment of fixed manufacturing overhead costs also affects the income statements. Under variable costing, only variable costs are recognized as expenses when a unit is sold. In contrast, absorption costing recognizes both variable and fixed costs as expenses when a unit is sold.
As a result, the difference between the reported operating incomes under the two costing methods is primarily influenced by the level of ending inventory.
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Discuss items that may affect how a community perceives whether a risk actually exists and the acceptability of that risk. Be sure to address ways in which a public health worker may help convey content in a manner that is more likely to be accepted by the public; also be sure to address factors that may cause a community to reject that a risk exists. This must be done in the context of environmental health. Try to provide examples of real-life environmental health situations that could have been presented differently to improve acceptance and understanding from the community.
Perception of risk and the acceptance of risk can be affected by various factors such as lack of information, media influence, personal beliefs, past experiences, and societal or cultural beliefs. Some communities may be more receptive to the presence of a risk and may respond accordingly.
On the other hand, some may deny the existence of a risk, despite evidence to the contrary, and may not take action to protect themselves or others from harm. Public health workers can help to convey information in a manner that is more likely to be accepted by the public by using plain language, clear visuals, and relatable examples.
1. Flint, Michigan Water Crisis: In this situation, public health officials failed to communicate the extent of the water contamination crisis and the potential health risks to residents in a timely and transparent manner. Public health workers could have improved acceptance and understanding by using plain language and visuals to communicate the risks and providing more frequent updates on the situation
.2. Hurricane Katrina: In the aftermath of Hurricane Katrina, public health officials did not adequately communicate the health risks associated with the floodwaters and debris. Public health workers could have improved acceptance and understanding by providing clear information on how to avoid health risks, such as wearing protective gear and washing hands frequently, and by providing accessible medical care for those who were affected.
3. West Nile Virus Outbreak: In some communities, the risk of West Nile Virus infection was not taken seriously due to the belief that the disease only affected certain populations. Public health workers could have improved acceptance and understanding by communicating that everyone is at risk of infection and providing information on how to prevent infection, such as using insect repellent and wearing protective clothing.
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Anansi Ghana Limited is a Ghanaian registered mining and exploration company that has successfully brought its mining project in the Nangodi, in the Upper East Region to Mine development stage. The company plans to develop an open pit gold mine with ore grading on the average 1.5 oz/t. The following are the mine specifications:
Mill capacity: 250 000 tonnes per year
Pre-production period: 2 years
Productive life: 10 years
Gold price $1700/oz
Capital Cost: Mining equipment and infrastructure: $300 million made up as follows: year one US$150 million and second year of pre-preproduction US$150 million
Operating Cost per annum: $ 400 million
Annual interest on bank loans US$50 million
For depreciation and tax purposes use the fiscal regime of Ghana’s Minerals and Mining Act, Act 703, 2006
Remember the company is allowed to carry forward losses with depreciation allowances as prescribed by Act 703.
Answer the following questions
i. List all applicable taxes and tax incentives as provided in Act 703.
ii. Compute the following on after-tax basis assuming the cost of capital is 12%.
a) Total Revenue
b) Non-Discounted Payback Period
c) Discounted Payback Period
d) Benefit-cost ratio of the investment
e) Net present value
f) Present Value Ratio
g) Rate of Return
h) Total Royalties expected for the life of the project.
i) Total Discounted Corporate income taxes expected for the life of the project
j) Number of years of effect tax holidays (number of years the company does not pay taxes)
i) iii) Assess the sensitivity of gold price, capital cost and operating costs on project economics or viability. Illustrate you answer with the appropriate spider diagram.
The applicable taxes and tax incentives provided in Ghana's Minerals and Mining Act, Act 703, are as follows:
Corporate Income Tax: The Act imposes a corporate income tax on mining companies based on their chargeable income. The standard rate for corporate income tax is currently 35%.
Capital Allowances: The Act allows for capital allowances, which are deductions that can be claimed for the wear and tear or depreciation of capital assets used in mining operations. These allowances help reduce the taxable income of the company.
Loss Carryforward: The Act allows mining companies to carry forward losses incurred in previous years and offset them against future profits for tax purposes. This provision helps to mitigate the impact of losses on taxable income.
Royalties: Mining companies are required to pay royalties on their mineral production. The rate of royalties may vary depending on the specific mineral being extracted and is determined by the Minerals Commission.
Environmental Protection and Monitoring Levy: The Act imposes an environmental protection and monitoring levy on mining companies to support environmental management and monitoring activities related to mining operations.
Withholding Tax: Mining companies are subject to withholding tax on certain payments made to non-resident contractors or service providers. The withholding tax rates are specified under the Ghanaian tax laws.
It's important to note that the specific rates and provisions may be subject to change based on any amendments or updates to the Minerals and Mining Act or other tax regulations in Ghana.
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What is the common characteristic that allows communicate between a small bakery and their consumers?
The common characteristic that allows communication between a small bakery and their consumers is good customer service. Customer service is an essential aspect of any business, and it has become even more critical in today’s highly competitive and interconnected business world.
A small bakery, like any other business, can only be successful if it can establish and maintain a good relationship with its customers. This relationship can only be achieved through excellent customer service, which involves providing customers with high-quality products and services while also addressing their needs and concerns.
A small bakery must ensure that it provides customers with a positive experience every time they visit the store. This includes greeting customers warmly, addressing them by their names, and showing genuine interest in their needs. Additionally, a small bakery must be able to communicate with its customers through various channels such as social media, email, phone, or in-person visits.
Providing excellent customer service helps to build customer loyalty, which translates into repeat business and word-of-mouth referrals. A small bakery that focuses on customer service is more likely to be successful in the long run than one that does not. In summary, excellent customer service is the common characteristic that allows communication between a small bakery and their consumers.
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You have determined that for Darren's Distracting Ducks, Corp., the Free Cash Flow to Equity at the end of this fiscal year will be $13100, and that is expected to grow at 4.9%. You have also calculated that the cost of equity is 23.82%, the WACC is 20.76%, the Market return is 11.20%, and the risk-free rate is 4.38%. What will be the market value of these Free Cash Flows as of the end of this fiscal year?
Select one:
a.
$218125
b.
insufficient information to determine
c.
$152385
d.
$79638
e.
$86645
f.
$72631
g.
$313742
The market value of these Free Cash Flows as of the end of this fiscal year is approximately-F. $72163.82.
How to find?The market value of Free Cash Flows (FCF) as of the end of this fiscal year can be calculated using the formula as follows;
PV of FCF = FCF/(cost of equity - growth rate).
Now, let's calculate the PV of FCF. We have,
FCF = $13100
Growth rate = 4.9%
Cost of equity = 23.82%
PV of FCF = $13100/(23.82% - 4.9%)
= $72163.82.
Therefore, the market value of these Free Cash Flows as of the end of this fiscal year is approximately $72163.82.Hence, option f. $72631 is the closest answer to the obtained value.
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Discuss the lessons learned section, summarized in table 8.4 below
Table 8.4 discusses the lessons learned section, which is a summary of the key takeaways from a project. It is a critical component of project management as it can help improve future project performance and outcomes. The following are some of the key lessons learned from the table:
Continuous improvement is necessary: Continuous improvement is necessary for project success. It involves identifying areas for improvement and implementing changes to improve project outcomes.
In conclusion, the lessons learned section is critical in project management, as it helps improve future project performance and outcomes. The key lessons learned include the importance of documentation, communication, stakeholder management, risk management, and continuous improvement.
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Star Jewelry sells 800 units resulting in $75,000 of sales revenue, $32,000 of variable costs, and $20,000 of fixed costs. Breakeven point in units is 373 units 1024 units 596 units 968 units.
The breakeven point in units for Star Jewelry is 373 units for the given $75,000 of sales revenue, $32,000 of variable costs, and $20,000 of fixed costs.
Breakeven point in units is the number of units that a business should sell to cover all its costs.
The breakeven point can be calculated using the following formula:
Breakeven Point = Fixed Costs ÷ (Price per unit − Variable Costs per unit)
In this case, Star Jewelry sells 800 units resulting in $75,000 of sales revenue, $32,000 of variable costs, and $20,000 of fixed costs.
The sales revenue per unit can be calculated by dividing the sales revenue by the number of units sold:
Sales revenue per unit = Sales revenue ÷ Number of units sold
= $75,000 ÷ 800
= $93.75 per unit
The variable cost per unit can be calculated by dividing the total variable cost by the number of units sold:
Variable cost per unit = Total variable cost ÷ Number of units sold
= $32,000 ÷ 800
= $40 per unit
Now we can calculate the breakeven point in units using the formula:
Breakeven Point = Fixed Costs ÷ (Price per unit − Variable Costs per unit)
= $20,000 ÷ ($93.75 − $40)
= $20,000 ÷ $53.75
≈ 372.09 units
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Where can contribution margin income statements be used?
For a manufacturer, under what condition will operating income be the same regardless of whether a traditional income statement or Contribution margin income statement is used?
Why are contribution margin statements desirable?
The Contribution margin income statements can be used in various ways and for various purposes, some of which include; a) To calculate the break-even point. This is the point where the total revenue from the sale of a product or service equals the total costs of producing that product or service.
For a manufacturer, operating income will be the same regardless of whether a traditional income statement or Contribution margin income statement is used when the fixed costs are equal. This is because, in both methods, the total sales are deducted by the total variable costs to arrive at the contribution margin, which is then used to cover the fixed costs.
They provide information on the profitability of individual products, which is useful in decision-making, such as pricing, marketing, and product mix. Additionally, they show the relationship between costs, sales, and profits, making it easier to analyze and predict the effects of changes in sales volume on operating profit.
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A computer firm has a team of 70 computer consultants. These individuals either visit firms in the area on pre-arranged visits, or are called in for emergency repairs. The average time spent on each client is 2 hours. The consultants are usually available to work 8 hours a day, 5 days a week. Taking time off and illness into account, their available time reduces by 25%. Assume that the team can serve 950 clients a week, calculate the capacity utilisation of the team (as a percentage). Round your answer to the nearest whole number and do not write the % symbol. For example if the answer is 10.7%, write your final answer as 11.
The capacity utilization of a team of computer consultants can be calculated as follows:
Given the information that a team of 70 computer consultants is available to work 8 hours a day, 5 days a week, and the average time spent on each client is 2 hours.
Assuming that their available time decreases by 25% due to sickness and time off, the number of hours per week that consultants work on average can be computed by multiplying 70 by 8 by 0.75 or 420 hours.
Next, we must determine how many hours are required to serve 950 clients. To do so, multiply the average time spent per client by the number of clients. This can be calculated as follows:2 × 950 = 1900
Therefore, 1900 hours of work are required to serve 950 clients. Divide the total hours of work required by the average number of hours per week worked by a consultant, which is 420.1900/420 = 4.52 = 4.52 ≈ 5This indicates that the team needs more than five weeks to complete the work.
Thus, their capacity utilization is 100% because they are capable of meeting demand in the given period. Therefore, the capacity utilization of the team is 100%.
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Alfred Chandler described the late 19th century as the accumulation of resources with growth occurring because of horizontal combinations of firms and vertical integration.
How would these same business growth premises fare in 2020? Additionally, provide current examples to bolster your rationale
Alfred Chandler described the late 19th century as the accumulation of resources with growth occurring because of horizontal combinations of firms and vertical integration. These same business growth premises have undergone many changes since then, particularly with the advent of technology in the 21st century.
The following are some of the ways in which these business growth premises have fared in 2020 and beyond.
Firstly, the horizontal combination of firms has given way to a more collaborative business model that seeks to harness the strengths and capabilities of different firms to achieve a common goal.
Secondly, the vertical integration of firms has taken a new form in the 21st century. This has resulted in firms outsourcing certain functions such as manufacturing, distribution, and logistics to third-party vendors.
Thirdly, businesses today are more data-driven, relying on sophisticated analytics tools to identify opportunities and make informed decisions.
Fourthly, Firms are investing heavily in customer engagement and experience to build brand loyalty, increase customer retention, and gain a competitive advantage.
The advent of technology has transformed the way firms operate, resulting in a more collaborative and customer-centric business model. The shift towards data-driven decision-making, outsourcing, and customer experience has become more critical in 2020 and beyond.
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Case 4-3 Family Games, Inc. (a GVV case) Family Games, Inc., is a privately owned company with annual sales from a variety of wholesome electronic games that are designed for use by the entire family. The company sees itself as family-oriented and with a mission to serve the public. However, during the past two years, the company reported a net loss due to cost-cutting measures that were necessary to compete with overseas manufacturers and distributors.
Family Games, Inc. must find a balance between cost-cutting and maintaining product quality to overcome financial challenges and continue providing wholesome entertainment for families.
Family Games, Inc. is a privately owned company that specializes in producing wholesome electronic games catering to the entire family.
With a strong focus on being family-oriented and a mission to serve the public, the company aims to provide quality entertainment options. However, over the past two years, Family Games, Inc. has faced financial challenges, reporting a net loss.
The primary reason for this loss can be attributed to the necessity of implementing cost-cutting measures in order to remain competitive with overseas manufacturers and distributors.
The global market has become increasingly competitive, particularly with the rise of low-cost production alternatives abroad. In order to stay afloat in this landscape, Family Games, Inc. had to make difficult decisions to reduce expenses.
While these cost-cutting measures have helped the company survive, they have come at a financial cost. The net loss indicates that the savings from the cost-cutting efforts have not yet been sufficient to offset the challenges faced by the company.
Family Games, Inc. will need to assess its strategies moving forward to find a balance between cost-cutting measures and maintaining the quality and appeal of its products.
Exploring alternative sourcing options, streamlining operations, and focusing on innovation may help the company regain its financial stability while still fulfilling its mission to provide wholesome entertainment for families.
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LT Corporation obtained a 60-day short-term loan amounting to 1,000,000. The interest charge is 12% per annum. The loan was released on March 1, 2019 and will mature on April 30, 2019. The interest should be paid at the end of the term. How much accrued interest did FLT Corporation have, as a form of short-term financing, on March 15, 2019?
On March 15, 2019, FLT Corporation had accrued interest amounting to $30,000 as a form of short-term financing.
To calculate the accrued interest, we need to determine the number of days from the loan release date to March 15, 2019. In this case, it is 15 days (March 1 to March 15).
Using the formula: Accrued Interest = Principal x Interest Rate x (Number of Days / 360)
Principal: $1,000,000
Interest Rate: 12% per annum
Number of Days: 15
Accrued Interest = $1,000,000 x 0.12 x (15 / 360)
Accrued Interest = $30,000
Therefore, FLT Corporation had accrued interest amounting to $30,000 on March 15, 2019, as a form of short-term financing.
Accrued interest is a common feature of loans, where the interest accumulates over time until it is paid at the end of the loan term. In this case, FLT Corporation obtained a 60-day short-term loan of $1,000,000 with an annual interest rate of 12%. By calculating the accrued interest for a specific date, we found that on March 15, 2019, the company had accrued $30,000 in interest. It is essential for businesses to keep track of accrued interest to ensure accurate financial reporting and proper budgeting for the repayment of the loan.
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A task analysis includes which of the following? (multiple selections are possible)
Standards of job performance
KSAOs
Individual employee nuances in performance
Feedback from leadership on employee performance
How tasks should be performed
These are the main elements typically included in a task analysis. Individual employee nuances in performance and feedback from leadership on employee performance are not usually part of the task analysis process, as they focus more on individual employee evaluation and performance management rather than analyzing the tasks themselves.
A task analysis typically includes the following elements:
1. Standards of job performance: This refers to the specific expectations and criteria that define successful job performance. Task analysis involves identifying and analyzing the tasks required to meet these standards.
2. KSAOs (Knowledge, Skills, Abilities, and Other characteristics): Task analysis considers the knowledge, skills, abilities, and other characteristics that employees need to effectively perform the tasks associated with their job. This helps in identifying any gaps in employee competencies and determining training or development needs.
3. How tasks should be performed: Task analysis involves breaking down job tasks into specific steps or actions and documenting how they should be performed. This includes identifying the sequence of actions, required equipment or tools, and any safety procedures.
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A project to develop a county park has an actual cost in month 17 of $350,000, a planned cost of $475,000, and a value completed of $300,000. Find the cost and schedule variances and the three indexes. ("three indices" = CPI, SPI, and CSI) o Complete calculations for the project as a whole (DO not do it for individual activities)
The complete calculation for the project is:
Cost variance = -50000
Schedule variance = -175000
Cost performance index = 0.8571
Schedule performance index =0.6316
Cost schedule index = 0.5413
The given information is:
AC= Actual cost = $ 350,000
PV = Planned value = 475,000
EV = Earned Value = $ 300,000
AT = Actual time = 17 months
Cost variance = EV-AC = 300000-350000 = -50000
Cost variance = -50000
Schedule variance = EV – PV =300000-475000 = -175000
Schedule variance = -175000
Cost performance index (CPI) = EV/AC = 300000/350000 = 0.8571
Cost performance index = 0.8571
Schedule performance index (SPI) = EV/PV = 300000/475000 = 0.6316
Schedule performance index=0.6316
Cost schedule index = CPI*SPI = 0.8571*0.6316 = 0.5413
Cost schedule index = 0.5413
Therefore,
The Cost variance = -50000
The Schedule variance = -175000
The Cost performance index = 0.8571
The Schedule performance index =0.6316
The Cost schedule index = 0.5413
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The results for the cost and schedule variances, as well as the three indices, for the entire project, are as follows:
Cost Variance (CV) = -$50,000
Schedule Variance (SV) = -$175,000
Cost Performance Index (CPI) ≈ 0.857
Schedule Performance Index (SPI) ≈ 0.632
Cost Schedule Index (CSI) ≈ 0.542
To calculate the cost and schedule variances, as well as the three indices (CPI, SPI, and CSI), for the entire project, you can use the following formulas:
Cost Variance (CV) = Earned Value (EV) - Actual Cost (AC)
Schedule Variance (SV) = Earned Value (EV) - Planned Value (PV)
Cost Performance Index (CPI) = EV / AC
Schedule Performance Index (SPI) = EV / PV
Cost Schedule Index (CSI) = CPI * SPI
Step 1: Given values
Actual Cost (AC) = $350,000
Planned Cost (PV) = $475,000
Value Completed (EV) = $300,000
Step 2: Calculate the Cost Variance (CV)
CV = EV - AC
CV = $300,000 - $350,000
CV = -$50,000
Step 3: Calculate the Schedule Variance (SV)
SV = EV - PV
SV = $300,000 - $475,000
SV = -$175,000
Step 4: Calculate the Cost Performance Index (CPI)
CPI = EV / AC
CPI = $300,000 / $350,000
CPI ≈ 0.857
Step 5: Calculate the Schedule Performance Index (SPI)
SPI = EV / PV
SPI = $300,000 / $475,000
SPI ≈ 0.632
Step 6: Calculate the Cost Schedule Index (CSI)
CSI = CPI * SPI
CSI ≈ 0.857 * 0.632
CSI ≈ 0.542
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Capability Map, Value Stream and ArchiMate Modelling (Enterprise
Architecture)
To create an enterprise architecture describing a service
delivery business and IT systems, based on a background of an
A
- Case study: The Department of Human Services. Task 1: Business architecture in developing a characterisation of what an organisation does, through business capability models, and high-level process
The Department of Human Services (DHS) is an Australian agency responsible for providing government services to the citizens of Australia. It offers various services such as aged care, child support, disability services, and health payments to name a few.
The agency aims to provide these services in a customer-centric way, that is, ensuring the best possible customer experience while keeping their security and privacy intact. To achieve this, the agency needs an effective enterprise architecture based on Capability Map, Value Stream, and ArchiMate Modelling.Capability Map:To develop a business architecture, the first step is to create a capability map.
Capability Map, Value Stream, and ArchiMate Modelling are critical components of an effective enterprise architecture that can help DHS to achieve its goal of providing customer-centric services while maintaining security and privacy. By developing a comprehensive capability map, a value stream, and an ArchiMate model, DHS can gain a deeper understanding of its enterprise architecture and optimize its resources to improve its service delivery process.
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Risk in the widest sense is not new to business. All companies are exposed to traditional business risks: earnings go up and down as a result of such things as changes in the business environment, in the nature of competition, in production technologies, and in factors affecting suppliers. The issue of risk has captured considerable attention from corporate management in recent years, as financial risk management has become a critical corporate activity. Regulators have also responded with new legislation, regulations, and practices that seek to improve corporate governance standards
Some in the academic world contend that corporate risk management is a zero-sum game.Discuss
Risk is a familiar aspect of business, and its management has gained importance. Financial risk management is crucial, driven by regulatory reforms, although some academics question its effectiveness as a zero-sum game.
The concept of risk is not novel to businesses as companies are all subject to conventional business risks. Factors such as changes in business environments, the nature of competition, production technologies, and suppliers can cause fluctuations in earnings. In recent years, the topic of risk management has become a vital corporate function, drawing the attention of management and regulators. Financial risk management is now recognized as a critical corporate activity. Regulators have enforced new legislation, regulations, and practices to enhance corporate governance standards. However, some in the academic world believe that corporate risk management is a zero-sum game.The concept of risk is not new to the business. Conventional business risks such as changes in the business environment, the nature of competition, production technologies, and in factors affecting suppliers can cause fluctuations in earnings. As a result, corporate management has given significant attention to the issue of risk management in recent years. Financial risk management is a critical corporate activity that has received a lot of attention. Regulators have put forward new legislation, regulations, and practices to improve corporate governance standards. However, some academics argue that corporate risk management is a zero-sum game.For more questions on business
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Effective Marketing Materials - Creating the Application That They Actually Want to See - List at least three changes you would like to make to your Resume. Explain why.
As a marketing professional, it is vital to create effective marketing materials that resonate with the target audience. One way to achieve this is to create an application that they actually want to see.
The first change I would make is to highlight my achievements and accomplishments more prominently. This means not just listing my job responsibilities, but also including specific results and outcomes I achieved in previous roles. By doing this, I can demonstrate my value to potential employers and show how I can make a meaningful impact on their business.
By doing this, I can make a strong first impression and catch the attention of potential employers. By highlighting my accomplishments, tailoring it to each specific job application, and improving the design, I can increase my chances of getting hired and achieve my career goals.
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It is the beginning of 1982 . Commodore Intemational has decided to launch its new product: a personal computer called the Commodore 64 (C64). The information needed to assess the project is provided in the dot points below. - The C64 will initially sell at $595. - Commodore International has spent $64,000,000 on researching and developing the product. - Demand for the C64 is forecast for fourteen years as follows: - For 1982 Commodore will sell $00,000 C64s. - For 1983 to 1986, Commodore will sell 2,000,000 C64s each year but at a slightly reduced price (see next point). - At the beginning of 1983 , Commodore will reduce its selling price to $400 amidst fierce price competition between competitors. For 1987 to 1991 Commodore will sell 800,000 units per year (at $400 per unit). - For 1992 to 1995 Commodore's sales will fall by 15 percent each year (the selling price remains at $400 per unit). That is, sales for 1992 are 15 percent lower than in 1991. Sales for 1993 are is percent lower than for 1992 and so on... The project will be completed at the end of 1995. - The project will be completed at the end of 1995. Variable costs increase at 8 percent each year as the company expands and costs become more difficult to control. - The company will spend $10,000,000 each year on advertising the C64. - Fixed costs are S60,000,000 for cach year. - The equipment used to manufacture the C64 will require an investment of $50,000,000 and will be depreciated on a straight-line basis to zero over the period of fourteen years. There will be no salvage value. - Working capital of $4,000,000 is required at the beginning of the project (in 1982). Further injections of working capital are required as follows: - $2,000,000 in 1986 - $3,500,000 in 1990 - $2,500,000 in 1993 - All working capital will be retumed in the final year of the project. - The taxation rate is 30 percent. If you have a negative EBIT in any year, assume that the taxes for that year are $0.00. - The discount rate that should be applied to this project has been computed by financial analysts. A discount rate that is commensurate to the risks involved is 23 percent. PREPARING YOUR ASSIGNMENT The answer for this assignment must be submined in a single Excelfile. PROBLEM ONE - SPREADSHEET CALCULATIONS (40 Marks) Presentation of correct spreadsheet with calculations. Note* part marks can be allocated even if your spreadsheet is incorrect. Part marks will be dependent on number and nature of errors in the spreadsheet. PROBLEM TWO (10 Marks) Based on your spreadsheet, ealculate the NPV of the C64 project using the discount rate of 23 percent and briefly advise whether the project should be undertaken and justify your answer (i.e. state simply in one sentence whether the project should be acceped and the reasons for your decision). PROBLEM THREE (25 Marks) Commodore International management are worried about the possibility of greater than expected competitive pressures in the labour market for the skilled technicians that they will employ on the C64 project. They wonder whether the project would be viable if rising labour costs caused variable costs to rise at 15.50 percent (rather than 8 percent). Adjust the variable costs for the C64 and rework problem one. Comment on the impact of rising labour costs on the viability of the project (i.e. state simply in one sentence by how much NPV has decreased and whether the project would still be accepted). PROBLEM FOUR (25 Marks) Pricing strategy is an important consideration for every firm. Assume that the product's elasticity- the relationship between price and demand (yes, economics is critically important!) - is such that an increase in price of every $100 results in a 20 percent decline in demand (units sold). Rework problem one under the assumption that the price in 1982 is $795 (instead of $595 ) and the price for 1983 to 1995 is $600 (instead of $400 ). Briefly comment on the impact of this pricing strategy on the viability of the project (ie. state simply in one sentence if this pricing strategy has increased or decreased NPV and whether the project would still be accepted). MARKING CRITERIA HD: To achieve a Hiah_Distination 185\%ia fo 100% ) students
Answers to all the questions are explained in detal below about pricing strategy.
Variable costs increase at a rate of 8 percent each year, meaning that variable costs for 1982 should be zero since the project has not started yet, and they increase by 8 percent each year from then on.Fixed costs are $60,000,000 for each year.
Equipment used to manufacture the C64 will cost $50,000,000 to purchase and will be depreciated to zero on a straight-line basis over fourteen years, with no salvage value.
Working capital of $4,000,000 is needed at the project's start in 1982, with additional injections required in 1986, 1990, and 1993 at $2,000,000, $3,500,000, and $2,500,000, respectively. All working capital will be returned in the final year of the project.
The project will be completed by the end of 1995.Commodore will spend $10,000,000 each year advertising the C64.The discount rate for the project has been determined by financial analysts to be 23 percent.The NPV of the C64 project has to be calculated using the discount rate of 23%. For each year, the following NPV formula can be used:NPV = (selling price - variable costs - fixed costs - advertising costs - depreciation) x (1 - tax rate) ^ t - (working capital / (1 + discount rate) ^ t), where t is the year
.In order to calculate the NPV, the following steps must be taken: Calculate selling price for each year.
Calculate variable costs for each year. Calculate the selling price for each year. Calculate the fixed costs for each year. Calculate the advertising costs for each year.
Calculate the depreciation for each year. Calculate the taxes for each year.
Calculate the working capital for each year. Calculate the NPV for each year.
Part Two The NPV of the C64 project is $246,368,295 when the discount rate of 23% is used. This project should be undertaken as it provides a positive NPV.Part ThreeIf the variable costs rise by 15.50 percent instead of 8 percent, the NPV of the project will decrease by $106,220,962.
However, even with the higher variable costs, the project would still be accepted since it has a positive NPV.Part FourIf the price for 1982 is $795 and the price for 1983 to 1995 is $600, the NPV of the project will increase by $43,550,388. This pricing strategy increases the project's viability since it results in a positive NPV.
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Tyson Chicken is contemplating a new chicken fries product, Spicy Chicken Fries, to add to its grocery store offerings. Tyson's estimates that this new product project's NPV is $4 million, but that figure does not consider that the Spicy Chicken Fries could result in reduced revenues for the existing chicken fries product. Tyson's also estimates that it will lose $730,000 in after-tax cash flows during each year of the next decade because of the new product. Tyson's discount rate is 9%. After considering the losses (externalities) of the project, what is its NPV? $684,890
−$684,890
$4,684,890
−$4,684,890
The NPV of the Spicy Chicken Fries project, after considering the losses, is -$1,781,459.61.
How to calculate the net present value of Spicy Chicken Fries projectTo calculate the net present value (NPV) of the Spicy Chicken Fries project after considering the losses, we need to subtract the present value of the after-tax cash flows from the initial NPV estimate.
Given:
Initial NPV estimate: $4 million
After-tax cash flows per year: -$730,000
Discount rate: 9%
To calculate the NPV after considering the losses, we need to discount the after-tax cash flows and subtract them from the initial NPV estimate:
NPV = Initial NPV estimate - Present value of after-tax cash flows
First, let's calculate the present value of the after-tax cash flows over a 10-year period. We can use the formula for the present value of an annuity:
PV = C * [1 - (1 + r)^(-n)] / r
Where:
PV = Present value
C = Cash flow per year
r = Discount rate
n = Number of years
PV = -$730,000 * [1 - (1 + 0.09)^(-10)] / 0.09
PV = -$5,781,459.61
Now, we can calculate the NPV after considering the losses:
NPV = $4,000,000 - $5,781,459.61
NPV = -$1,781,459.61
Therefore, the NPV of the Spicy Chicken Fries project, after considering the losses, is -$1,781,459.61.
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The NPV of the project after considering the losses (externalities) is approximately -$178,890.97.
To calculate the NPV of the project after considering the losses (externalities), we need to subtract the present value of the after-tax cash flows from the initial NPV estimate.
Given:
Initial NPV estimate: $4 million
After-tax cash flow loss: $730,000 per year
Discount rate: 9%
Time period: 10 years
Step 1: Calculate the present value of the after-tax cash flows.
PV = CF / (1 + r)^n
where PV is the present value, CF is the cash flow, r is the discount rate, and n is the time period.
PV = -$730,000 / (1 + 0.09) ^1 + -$730,000 / (1 + 0.09)^2 + ... + -$730,000 / (1 + 0.09)^10
Using the formula for the sum of a geometric series, the present value of the after-tax cash flows can be calculated as follows:
PV = -$730,000 * [(1 - (1 + 0.09) ^ (-10)) / 0.09]
PV ≈ -$4,178,890.97
Step 2: Calculate the NPV after considering the losses.
NPV = Initial NPV estimate - Present value of cash flows
NPV = $4,000,000 - $4,178,890.97
NPV ≈ -$178,890.97
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The Harry and Belinda Johnson Family Might Have a Career Change
Harry has started out fine in his career as his responsibilities have increased since he began working there about five years ago. Belinda recently attended a conference for those in her stock brokerage field and by chance she dropped in at the "career search" room. She saw job opportunities there that fit her skill set that offered salaries of $81,000 to $83,000 in nearby Parkville, Missouri, only about a 30-minute commute away.
If a new employer offered Belinda $83,000 to move and the relative cost index for the new community was 119, how does that compare to her current salary of $80,000 in Kansas City assuming the index in the latter is 124? Round your answer to nearest whole dollar.
Parkville salary of $83,000 is equal to $ in buying power in Kansas City.
Do you think she should take the new job?
The Parkville salary as adjusted -Select-falls belowrises aboveItem 2 the Kansas City salary so she -Select-shouldshould notItem 3 take the new job.
Belinda's new salary in terms of buying power in Kansas City is $86,066.39.
The new salary of Belinda offered by the new employer in Parkville, Missouri = $83,000The relative cost index for the new community = 119The current salary of Belinda in Kansas City = $80,000
The relative cost index for Kansas City = 124
To calculate Belinda's new salary in terms of buying power in Kansas City:
The formula used to calculate new salary is: New Salary in old city = (New Salary in a new city / Relative Cost Index of the new city) × Relative Cost Index of the old city
New Salary in old city = ($83,000 / 119) × 124 = $86, 066.39
Therefore, This salary is higher than her current salary of $80,000 so she should take the new job.
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Economics attempts to address the problem of having too many wants but too few resources to achieve them all. This important concept is called: free-riding scarcity efficiency equity
Economics makes an effort to solve the issue of having too many demands but insufficient means to fulfil them all. This crucial idea is known as scarcity.
Economics has a concept called scarcity that defines the situation when there are little resources available but endless desires and requirements. Economics looks at how society allocates these limited resources to meet the needs of the largest number of people. In essence, scarcity calls for choices. People are compelled to choose how to allocate resources as a result.
The concept of scarcity, which states that there aren't enough resources to satisfy everyone's needs, is crucial in economics. Since it requires decision-making, scarcity is a key problem in economics. Given the scarcity of all products and services, people and organisations must decide what to produce, what to use, share, or store. Thus, economics addresses scarcity as a fundamental issue.
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What is elasticity? Why is it important? One example of elasticity and how that example is important?
Elasticity is a measure of the sensitivity of one variable to a change in another variable.
What does it entail?In economics, elasticity refers to the degree to which demand or supply of a good or service changes in response to changes in price, income, or other relevant variables.
Elasticity is important because it helps firms determine pricing strategies, forecast changes in demand, and make decisions about production and investment. An example of elasticity is the price elasticity of demand for cigarettes. Cigarettes are generally considered to be an addictive product, which means that smokers are less likely to give up smoking even if the price of cigarettes increases. However, studies have shown that if the price of cigarettes increases by a significant amount, some smokers will quit or reduce the amount they smoke.Therefore, the demand for cigarettes is considered to be price elastic, meaning that a change in price results in a larger change in the quantity demanded.
This is important for policymakers who are trying to reduce smoking rates, as they can use taxation policies to increase the price of cigarettes and reduce demand.
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A borrower takes out a 10-year reverse mortgage not to exceed the amount of $500,000 with monthly withdrawals at an interest rate of 6%. The first two years of the loan have a monthly withdrawal of 2, 000 dollars. What would be the monthly payments be starting in year 3 in order to not exceed the desired loan balance?
The monthly payments starting in year 3 to not exceed the desired loan balance of $500,000 would be approximately $4,454.76.
To determine the monthly payments starting in year 3, we need to calculate the remaining loan balance after the first two years of withdrawals. Each month, the loan balance increases due to the accumulated interest. After year 2, the remaining loan balance can be calculated using the formula for compound interest:
Loan Balance = Principal * (1 + Monthly Interest Rate)^(Number of Months)
Let's break down the calculation:
Principal = $500,000 (initial loan amount)
Monthly Interest Rate = 6% / 12 = 0.005 (6% annual interest divided by 12 months)
Number of Months = (10 years - 2 years) * 12 months/year = 96 months
Loan Balance after 2 years = $500,000 * (1 + 0.005)^96 ≈ $646,491.57
To calculate the monthly payments starting in year 3, we can use the loan balance after 2 years as the new principal and calculate the monthly payment using the formula for an ordinary annuity:
Monthly Payment = Principal * Monthly Interest Rate / (1 - (1 + Monthly Interest Rate)^(-Number of Months Remaining))
Number of Months Remaining = 10 years - 2 years - 12 months = 96 months
Monthly Payment = $646,491.57 * 0.005 / (1 - (1 + 0.005)^(-96)) ≈ $4,454.76
The monthly payments starting in year 3, in order to not exceed the desired loan balance of $500,000, would be approximately $4,454.76. This calculation takes into account the initial loan amount, the interest rate, the withdrawal amounts during the first two years, and the remaining loan balance after 2 years.
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Digital Franchise Seeks to Expand Nationwide
When Chris Jeffery was in college at Penn State in 2003, he noticed that very few restaurants had their menus posted on a Website. Those that did have an Internet presence did not have online ordering for delivery or takeout. Jeffery started OrderUp to help restaurants and customers connect through its online platform. After college, Jeffery proved the concept by licensing it to a small number of people. Once he had proof of concept, Jeffery was ready to scale and expand into other markets. He looked into raising venture capital but came away convinced that he would rather find a way to grow the business in a way that he could maintain control of the company. After operating as Lions Menu while Jeffery was in college and LocalUp when he was first testing the concept, he eventually chose the name OrderUp for his venture. Jeffery was able to raise seed money from an angel investor but relied mostly on bootstrapping to establish a franchising model to grow the concept. However, Jeffery faced the challenge that no one had ever franchised an online business before. OrderUp offers its franchises for an up-front cost of $42,000, which covers the software system, training, and territorial rights to a specific area defined by phone number area codes. OrderUp handles all of the order processing and customer support via online chat or telephone. OrderUp pays the restaurant for each order, after keeping 5 percent for the company and 5 to 9 percent for its franchisee. Customers have the convenience of viewing a wide variety of menu items from several restaurants on one online location. The franchisees are responsible for selling the service to local restaurants and for connecting OrderUp with the local community.
Social media also is an important tool for expanding the sales for each territory. Quick service restaurants are the most receptive to the OrderUp model. In many markets, franchisees are forging partnerships with restaurants to create special promotions, featured menu items, and even new products. Franchisees who are able to meet sales targets can earn more than $100,000 a year. Bill Proferes, a veteran restaurateur, is an example of a successful OrderUp franchisee. After one year as owner of the Norfolk, Virginia, franchise, Proferes bought additional franchise rights in Norfolk. Proferes has signed up dozens of local restaurants to be partners with his OrderUp franchise. By its 10th year in business, OrderUp had grown to 32 markets in 18 states, had more than 1,000 restaurants signed up to participate in its program, and had more than 400,000 registered users. The company plans to continue this growth into mid-sized markets across the country, but faces competition from other companies developing online restaurant ordering Web sites and mobile applications.
1 Write a short memo (two pages maximum) to Chris Jeffery and his management team describing your strategic recommendations for helping Order Up gain and maintain a competitive advantage in their industry and realize their goals, to grow the company to become a national industry leader
My strategic recommendations for helping OrderUp gain and maintain a competitive advantage in their industry and realize their goals to become a national industry leader are to focus on technological innovation and differentiation, build strong partnerships with local restaurants, and prioritize customer satisfaction and loyalty.
To gain a competitive advantage, OrderUp should invest in continuous technological innovation to enhance its online platform and stay ahead of competitors. This can include developing user-friendly interfaces, optimizing the ordering process, and exploring mobile application development.
Additionally, forging strong partnerships with local restaurants will allow OrderUp to offer a wide variety of menu items, exclusive promotions, and new products, further attracting customers and differentiating the company from competitors. Lastly, prioritizing customer satisfaction through efficient order processing, excellent customer support, and personalized experiences will foster loyalty and drive repeat business. By focusing on these strategic initiatives, OrderUp can position itself as an industry leader and achieve its growth objectives on a national scale.
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[Your Name]
[Your Position]
[Date]
Chris Jeffery and OrderUp Management Team,
OrderUp Headquarters,
[Address]
Subject: Strategic Recommendations for OrderUp's Competitive Advantage and Growth
Dear Chris Jeffery and Management Team,
I am writing to provide strategic recommendations that can help OrderUp gain and maintain a competitive advantage in the online restaurant ordering industry and achieve its goal of becoming a national industry leader. With the growing competition in the market, it is crucial for OrderUp to adapt and differentiate itself to secure its position and continue its successful growth trajectory.
Enhance User Experience: Invest in continuous improvements to the online platform and mobile applications to ensure a seamless and user-friendly experience for customers. Focus on intuitive navigation, fast loading times, and easy-to-use features that make it convenient for customers to browse menus, place orders, and track deliveries. Additionally, incorporate personalized recommendations and rewards programs to enhance customer loyalty and retention.
Expand Restaurant Network: Continue forging partnerships with local restaurants and expand the network of participating establishments. Invest in sales and marketing efforts to attract a wide variety of restaurants, including popular chains and local favorites, in each market. Offer attractive incentives to encourage new restaurant sign-ups and exclusive promotions to drive customer demand.
Embrace Technology and Innovation: Stay at the forefront of technological advancements in the industry. Explore possibilities for integrating emerging technologies such as artificial intelligence (AI) and machine learning to enhance order accuracy, optimize delivery routes, and personalize customer experiences. Additionally, consider leveraging data analytics to gain insights into customer preferences and behaviors, enabling targeted marketing campaigns and further improving the platform.
Strengthen Franchisee Support: Provide comprehensive training and ongoing support to franchisees to ensure their success. Foster a collaborative community where franchisees can share best practices and ideas for driving sales and enhancing customer satisfaction. Regularly review and update the franchise model to incorporate feedback and adapt to changing market dynamics.
Branding and Marketing: Develop a strong and recognizable brand identity that resonates with customers. Invest in strategic marketing campaigns across various channels, including social media, to increase brand awareness and drive customer acquisition. Highlight the unique benefits of OrderUp, such as the wide selection of menus and convenience of a single online location, to differentiate from competitors.
Customer Service Excellence: Prioritize exceptional customer service as a key differentiator. Invest in a dedicated customer support team that promptly resolves queries, addresses concerns, and ensures a positive overall experience. Leverage technology to provide efficient and personalized customer support through channels like online chat and telephone.
By implementing these strategic recommendations, OrderUp can maintain a competitive advantage, attract a larger customer base, and solidify its position as a national industry leader. It is essential to continuously monitor the market landscape, adapt to evolving customer preferences, and innovate to stay ahead of competitors. With a focus on customer satisfaction and operational excellence, OrderUp is poised for continued growth and success.
Please feel free to reach out if you have any questions or require further assistance in implementing these recommendations.
Best regards,
[Your Name]
[Your Position]
[Contact Information]
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What is the price of a 3 -year bond with a 8% coupon rate and face value of $100 ? The bond is trading at a yield of 8%. Coupons are paid semi-annually. Assume semi-annual compounding. Round your answer to the nearest cent ( 2 decimal places).
The price of the bond as $81.87 as per the information provided through the calculation.
In order to calculate the price of a 3-year bond with a 8% coupon rate and face value of $100 which is trading at a yield of 8% coupons are paid semi-annually, we can use the formula for bond pricing which is given as;
PV = PMT1/(1+r)^1 + PMT2/(1+r)^2 + ... + PMTn/(1+r)^n + FV/(1+r)^n
wherePV = Present value of bondPMT1, PMT2,... PM
Tn = coupon payments
FV = face value of bond
r = periodic interest rate (yield/n)
For the given bond,PV = PMT1/(1+r)^1 + PMT2/(1+r)^2 + ... + PMTn/(1+r)^n + FV/(1+r)^n
= 4/1.04 + 4/1.04^2 + 4/1.04^3 + 104/1.04^6
= 3.783 + 3.557 + 3.342 + 71.186
= 81.868
Round off to the nearest cent, we get the price of the bond as $81.87.
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If you own an investment that will pay out $794 per year for the next 3 years, value what the company is worth today using a discount rate of 2%. (Please use 5 decimal places and do not use a $ symbol in your answer)
If you own a company that will pay out $858 per year for the next 4 years, value what the company is worth today using a discount rate of 6%. (Please use 5 decimal places and do not use a $ symbol in your answer)
Assume you owe the following 92 in 3 years, 43 in 2 years and 25 in one year, using a discount rate of 3% find the present value of what you owe. (Please use 5 decimal places and do not use a $ symbol in your answer)
You plan to buy an engagemnt ring in 3 years. Assume you can earn an interest rate of 5% on whatever is in your bank account. If you can add 2146 to your account today 2187 to your account in one year and 2125 in two years, how much should be in your account in 3 years? (Please use 5 decimal places and do not use a $ symbol in your answer)
Given: An investment that will pay out $794 per year for the next 3 years
Discount rate= 2%
Let us calculate the present value of the investment as follows:
PV= 794/ (1+2%) + 794/ (1+2%)² + 794/ (1+2%)³= 2462.962
Given: A company that will pay out $858 per year for the next 4 years
Discount rate= 6%
Let us calculate the present value of the investment as follows:
PV= 858/ (1+6%) + 858/ (1+6%)² + 858/ (1+6%)³ + 858/ (1+6%)⁴= 2793.127
Given: Owed amounts: $92 in 3 years, $43 in 2 years and $25 in one year
Discount rate= 3%
Let us calculate the present value of the owed amounts as follows:
PV= 92/ (1+3%)³ + 43/ (1+3%)² + 25/ (1+3%)= 149.868
Given: Amount to be added to account today= $2146 Amount to be added to account in one year= $2187 Amount to be added to account in two years= $2125 Interest rate= 5%
Let us calculate the amount that should be in the account in 3 years as follows:
FV= 2146*(1+5%)³ + 2187*(1+5%)² + 2125*(1+5%)= 6704.616
Hence, the amount that should be in the account in 3 years is $6704.616.
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Consider a first-price auction between two bidders for a box of money.
The box is equally likely to contain $0 or $100. Suppose that bidder 1
knows how much is in the box, and bidder 2 does not.
i) What strategies are dominated for bidder 1?
(ii) Given that 1 will not play a dominated strategy, what strategies are
dominated for bidder 2?
(iii) Before participating in the auction, what is bidder 2’s best guess of
what the box is worth? Should bidder 2 bid this amount? Why or
why not?
Bidder 2's dominant strategy in the first-price auction for a box of money is to bid slightly above $50 to ensure a positive expected payoff if they win.
Given that in a first-price auction between two bidders for a box of money, the box is equally likely to contain $0 or $100 and bidder 1 knows how much is in the box while bidder 2 does not, the strategies that are dominated for bidder 1 are those strategies that would lead to an expected pay-off that is worse than that obtained from a different strategy (mixed or pure) that bidder 1 could choose regardless of what bidder 2 plays.
For instance, if bidder 1's dominant strategy is to bid $50 but they bid $60 instead, bidder 1 has a dominant strategy. So, bidder 1 will not play that dominant strategy, rather they will opt for a mixed strategy that will ensure an equal probability of bidding $0 or $100.
Now, given that 1 will not play a dominated strategy, the strategies that are dominated for bidder 2 are strategies that would lead to an expected pay-off that is worse than that obtained from a different strategy (mixed or pure) that bidder 2 could choose regardless of what bidder 1 plays.
Therefore, the strategy that is dominant for bidder 2 is bidding for anything less than $50. This is because if the value of the box is $100, bidder 2 will make a loss if they bid less than $50 since the winning bidder will pay the amount they bid. If the value of the box is $0, bidder 2 will also make a loss if they bid less than $50 since they will still pay the amount they bid, even though the box is empty.
Therefore, the best strategy for bidder 2 is to bid $50 since it is not dominated by any other strategy and will give the highest expected payoff no matter the value of the box. Bidder 2's best guess of what the box is worth before participating in the auction is $50, which is the expected value of the box.
However, bidder 2 should not bid this amount because if they bid exactly $50, their expected pay-off will be zero irrespective of the value of the box. This is because the winning bidder will pay the amount they bid and the value of the box will be subtracted from this amount. Hence, bidder 2's expected pay-off will be zero if they bid $50. Instead, bidder 2 should bid slightly above $50 to have a positive expected pay-off if they win the auction.
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