We have given the dividend per share for Boehm Inc. as $1.50. And, the dividend is expected to grow at a constant rate of 6% a year. The required rate of return on the stock is 13%. The expected price at which we would sell the stock in 2 years is $23.23
First, we can calculate the expected dividend at the end of the first year:
Expected dividend next year = $1.50 × (1 + 6%) = $1.59
Now, we can calculate the expected price of the stock at the end of the first year using the constant growth model:
P1 = (D1 × (1 + g)) / (r - g)
Where:P1 = the expected price of the stock at the end of the first year
D1 = the expected dividend at the end of the first year
r = the required rate of return
g = the growth rate
P1 = ($1.59 × (1 + 6%)) / (13% - 6%)= $20.58
Now, we can calculate the expected price of the stock at the end of the second year using the same formula as above but with the expected dividend and the expected price of the stock at the end of the first year:
P2 = (D2 × (1 + g)) / (r - g)
Where:P2 = the expected price of the stock at the end of the second year
D2 = the expected dividend at the end of the second year
r = the required rate of return
g = the growth rateP2 = ($1.59 × (1 + 6%)^2) / (13% - 6%)= $23.23
Therefore, we can expect to sell the stock at $23.23 in 2 years.
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The upstream portion of an organization's supply chain includes the company’s __________.
a. Suppliers
b. Distributors
c. Retailers
d. Customers
The upstream portion of an organization's supply chain includes the company’s Suppliers. The correct option is a.
The supply chain of an organization encompasses the flow of goods, services, information, and resources from the initial suppliers of raw materials to the final customers or end-users. It consists of various stages or tiers, including upstream and downstream activities.
The upstream portion of the supply chain refers to the initial stages where materials, components, or inputs are sourced and acquired. This section involves the movement of goods and information from suppliers towards the focal organization. Therefore, the suppliers are a key component of the upstream portion of the supply chain.
Suppliers are the entities or companies that provide the necessary raw materials, components, or services to the organization. They play a crucial role in the production and manufacturing processes. Suppliers may include manufacturers, wholesalers, vendors, or even service providers, depending on the nature of the organization and its industry.
The upstream portion focuses on activities such as sourcing, procurement, supplier relationship management, and supply network design. It involves establishing partnerships, negotiating contracts, managing inventory levels, and ensuring the timely and reliable delivery of inputs. These activities are vital for the organization to have a steady supply of quality materials and resources to support its operations and meet customer demands.
On the other hand, distributors, retailers, and customers are part of the downstream portion of the supply chain. The downstream portion involves activities such as warehousing, distribution, marketing, and sales, which facilitate the movement of products or services from the organization towards the end-users or customers.
Therefore, the upstream portion of an organization's supply chain includes the company's suppliers, as they are responsible for providing the necessary inputs and raw materials for the organization's production processes.
Therefore the correct answer is option a.
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Required: You manage an equity fund with an expected risk premium of 13.4% and a standard deviation of 48%. The rate on Treasury bills is 5.6%. Your client chooses to invest $105,000 of her portfolio in your equity fund and $45,000 in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio for the equity fund? (Round your answer to 4 decimal places.) Reward-to-volatility Ratio ______
The reward-to-volatility (Sharpe) ratio for the equity fund is 0.2584.
In order to calculate the reward-to-volatility (Sharpe) ratio for the equity fund, follow these steps:
Calculate the expected return of the equity fund.
Using the formula, Expected Return = Risk-free rate + Beta * (Market return - Risk-free rate)
Expected return of the equity fund = 5.6% + 13.4% = 18%
Calculate the excess return of the equity fund. Using the formula,
Excess Return = Expected return - Risk-free rate
Excess return of the equity fund = 18% - 5.6% = 12.4%
Calculate the Sharpe ratio for the equity fund.
Using the formula, Sharpe Ratio = Excess return / Standard deviation
Sharpe ratio for the equity fund = (12.4 / 48) = 0.2583 ≈ 0.2584
Reward-to-volatility Ratio = Sharpe ratio = 0.2584 (rounded to 4 decimal places).
Therefore, the reward-to-volatility (Sharpe) ratio for the equity fund is 0.2584.
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If the consumer price index was 232 in 2013 and 244 in 2015, how much did prices increase during this time period?
In the given statement, If the consumer price index was 232 in 2013 and 244 in 2015, prices increased by approximately 5.17%.
The percentage increase in prices during the time period from 2013 to 2015 can be calculated using the following formula: Percentage increase = (new value - old value) / old value * 100Where the new value is the value in 2015 and the old value is the value in 2013. Substituting the given values into the formula, we get:Percentage increase = (244 - 232) / 232 * 100= 12 / 232 * 100= 0.0517 * 100= 5.17%Therefore, prices increased by approximately 5.17% during the time period from 2013 to 2015.
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Question 1 (Source: Chapter 1) At a recent meeting was conducted by Ghanim Al Ghazali, one of the investors Hatiem Al Mammari has argued that the CEO is earning the highest salary in the Company. Although, there is an increase in the profit of the organization each year, however there were no dividends distributed over the last 10 years to the shareholders. In addition, the company's stock price had decline nearly OMR 0.7 per share for the last 7 months. Another shareholder, added that there is a document described the company's profit-sharing plan, stated that all managers were partially compensated on the basis of the company's profit. That makes no sense, because the shareholders are the owners of the company, and the management should work for the best of shareholders. All shareholders argued and complained that there are no benefits from profits that the managers are trying to maximize. A- Explain the nature of the issue outlined above by Mr. Ghanim Al Ghazali other stockholders. B- Explain any three actions that companies can take to resolve the issue outline by the stockholders.
The issue outlined above by Mr. Ghanim Al Ghazali and other shareholders is that the CEO of the company is earning the highest salary in the organization despite the lack of dividends being distributed to the shareholders over the last 10 years and the decline in the company's stock price for the last 7 months.
Furthermore, the document that describes the company's profit-sharing plan states that all managers are partially compensated on the basis of the company's profit.However, the shareholders believe that the management should work for the best interest of the shareholders who are the actual owners of the company. The shareholders argued and complained that there are no benefits from profits that the managers are trying to maximize. This shows that there is a conflict of interest between the managers and the shareholders. The shareholders are concerned that the managers are benefiting more from the profits of the organization, while the shareholders, who are the owners, are not receiving any benefit. Therefore, the nature of the issue outlined by Mr. Ghanim Al Ghazali and other shareholders is a lack of profit sharing between the management and shareholders of the company.
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Use Challenger selling method to deliver an insight that would lead you to a sale. using any selling and buying firms as an example, consider the situation of the client, including their market, customers, competitors, and future trends. Additionally, consider the products and services that your firm (the seller) provides. Consider how you would ensure that what you say and do remains ethical
Introduction
- Briefly introduce: Selling firm, Buying firm, Objective ,Fall back
Selling firm: What it does / how it does it . What is the core offer it makes to clients (product/service) and value delivered , Competitors – explaining relative strengths and weaknesses against them
Buying firm: What it does / how it does it . What is the core offer it makes to clients (product/service) and value delivered , Competitors – explaining relative strengths and weaknesses against them.
- Identify at least one insight that the selling firm can offer to the customer
- Explain how you would use this insight to: teach for differentiation
(teaching/talking) and tailor this message for resonance
(listening and summarising)
Introduction:Selling firm: The selling firm is a marketing agency that offers innovative digital marketing solutions. The main goal is to help clients improve their online visibility and increase traffic to their websites by using cutting-edge techniques.Buying firm:
The buying firm is an e-commerce company that sells clothing and accessories online. It has been in business for over a decade and has established itself as a market leader in the industry. The company prides itself on offering high-quality products at affordable prices, as well as excellent customer service.Objective: The objective of the selling firm is to offer the buying firm an insight that will enable them to differentiate themselves from their competitors and improve their online visibility. The aim is to increase traffic to their website and boost sales.Fall back: If the selling firm is unable to offer an insight that resonates with the buying firm, the fall-back strategy will be to offer a discount on their services.Identifying an insight:The insight that the selling firm can offer to the customer is that video marketing is a highly effective way to improve online visibility and increase traffic to their website. By using video marketing, the buying firm can engage with their target audience in a more meaningful way and create a more personalized experience for their customers.
This will help the buying firm differentiate itself from its competitors and improve its online visibility.Teaching for differentiation:To teach for differentiation, the selling firm will explain the benefits of video marketing and how it can help the buying firm stand out from its competitors. They will provide examples of how other companies have successfully used video marketing to improve their online visibility and increase traffic to their websites.Tailoring the message for resonance:To tailor the message for resonance, the selling firm will listen to the buying firm's concerns and needs and summarize them back to them. They will emphasize how video marketing can help address these concerns and meet their needs, and provide a customized solution that fits their unique requirements.Ensuring ethical behavior:To ensure ethical behavior, the selling firm will be transparent about their services and pricing. They will not make false claims or exaggerate the benefits of their services. They will also respect the buying firm's privacy and not share their confidential information with third parties without their consent.
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Assume that the demand curve D(p) given below is the market demand for widgets:
Q=D(p)=2337−20pQ=D(p)=2337-20p, p > 0
Let the market supply of widgets be given by:
Q=S(p)=−3+6pQ=S(p)=-3+6p, p > 0
where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price.
1.What is the equilibrium price?
Please round your answer to the nearest hundredth.
2.What is the equilibrium quantity?
Please round your answer to the nearest integer.
3.What is the price elasticity of demand (include negative sign if negative)?
Please round your answer to the nearest hundredth.
4.What is the price elasticity of supply?
Please round your answer to the nearest hundredth.
1. The equilibrium price can be determined by setting the quantity demanded equal to the quantity supplied and solving for the price. In this case, the equilibrium price can be found by equating the demand and supply equations:
2337 - 20p = -3 + 6p
By rearranging the equation, we get:
26p = 2340
Dividing both sides by 26, we find:
p ≈ 90
Therefore, the equilibrium price is approximately $90.
2. To find the equilibrium quantity, we substitute the equilibrium price (p ≈ 90) into either the demand or supply equation. Using the supply equation Q = -3 + 6p, we get:
Q = -3 + 6(90)
Q = -3 + 540
Q ≈ 537
Therefore, the equilibrium quantity is approximately 537.
3. The price elasticity of demand measures the responsiveness of quantity demanded to changes in price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price. At the equilibrium point, the price elasticity of demand can be approximated by taking the derivative of the demand function with respect to price and multiplying it by the ratio of price to quantity demanded:
E = (p/Q) * (dQ/dp)
Substituting the equilibrium values, we have:
E ≈ (90/537) * (-20/1)
E ≈ -3.36
Therefore, the price elasticity of demand at the equilibrium point is approximately -3.36.
4. Similarly, the price elasticity of supply can be approximated by taking the derivative of the supply function with respect to price and multiplying it by the ratio of price to quantity supplied:
E = (p/Q) * (dQ/dp)
Substituting the equilibrium values, we have:
E ≈ (90/537) * (6/1)
E ≈ 0.6
Therefore, the price elasticity of supply at the equilibrium point is approximately 0.6.
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Case Study Questions: Walter Meier: JET International Expansion.
No more than 250 words
5. Of the entry modes identified, which is the optimal entry
mode into Brazil? Explain.
Walter Meier is considering entering the Brazilian market. The entry mode in the Brazilian market has to be chosen carefully to ensure maximum efficiency and minimum costs.
Several modes of entry have been identified, including exporting, licensing, joint ventures, and wholly-owned subsidiaries. The most optimal entry mode into Brazil, in this case, is a joint venture. A joint venture is a business partnership between two or more companies where the risks and rewards are shared among the partners.
In this case, Walter Meier can collaborate with local companies in Brazil to set up a joint venture. This mode of entry allows for the sharing of risks and costs, leading to reduced costs of entry and operations. Additionally, the local companies' knowledge of the Brazilian market will be helpful in navigating the market's regulations and cultural nuances. Furthermore, the joint venture will offer Walter Meier access to existing distribution networks, market knowledge, and established business relationships.
By collaborating with local companies, Walter Meier can learn more about the market dynamics and local business practices. This will help the company understand how to adjust its products to the Brazilian market's needs.
In conclusion, a joint venture is the most optimal entry mode into Brazil for Walter Meier as it offers a good balance of reduced costs and risks.
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Lisa Lasher buys 430 shares of stock on margin at $20 per share. If the margin requirement is 40 percent, how much must the stock rise for her to realize a 20-percent return on her invested funds? (Ignore dividends, commissions, and interest on borrowed funds.) Round your answer to the nearest cent.
The stock price needs to rise by $1,720 for Lisa to realize a 20 percent return on her invested funds.
To determine how much the stock must rise for Lisa Lasher to realize a 20 percent return on her invested funds, we need to calculate the initial investment and the target final value.
Initial Investment:
Lisa bought 430 shares of stock at $20 per share, so the initial investment can be calculated as follows:
Initial Investment = Number of shares * Price per share = 430 * $20 = $8,600
Margin Requirement:
The margin requirement is 40 percent, which means Lisa needs to provide 40% of the initial investment. Therefore, the margin amount is:
Margin = Margin Requirement * Initial Investment = 0.4 * $8,600 = $3,440
Target Final Value:
To calculate the target final value, we need to consider the desired return on the invested funds. Lisa wants to realize a 20 percent return on her invested funds. This means the final value should be 120 percent of the initial investment.
Target Final Value = (1 + Desired Return) * Initial Investment = 1.2 * $8,600 = $10,320
Now, we can determine how much the stock must rise to reach the target final value. Let's denote the required increase in stock price as "x."
New Final Value = Initial Investment + Margin + Increase in Stock Price
$10,320 = $8,600 + $3,440 + x
Simplifying the equation:
x = $10,320 - ($8,600 + $3,440)
x = $10,320 - $12,040
x = -$1,720
Since the value of "x" is negative, it means the stock price needs to rise by $1,720 for Lisa to realize a 20 percent return on her invested funds.
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As you are probably aware, on Tuesday 3 May 2022, the Reserve Bank of Australia (RBA) raised the cash rate by 25 basis points, from 0.1% to 0.35%. Describe how this decision might affect the aggregate demand and then GDP via the asset prices channel, AND saving and investment channel of monetary transmission.
The decision of the Reserve Bank of Australia (RBA) to raise the cash rate from 0.1% to 0.35% may impact aggregate demand and GDP through the asset prices channel and the saving and investment channel of monetary transmission.
The increase in the cash rate can affect the asset prices channel. A higher interest rate can lead to a decrease in asset prices, particularly in sectors such as housing and real estate, as borrowing costs increase. This can result in a decline in household wealth and consumer confidence, leading to reduced spending and a decrease in aggregate demand. Consequently, the decline in consumption expenditure can have a negative impact on GDP growth.
Additionally, the decision to raise the cash rate can influence the saving and investment channel. A higher interest rate incentivizes individuals and businesses to save more as they can earn higher returns on their savings. Increased saving can reduce immediate consumption and investment, affecting aggregate demand.
Furthermore, higher borrowing costs can discourage businesses from undertaking new investment projects, leading to a slowdown in economic growth.
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What are the risk associated with investments? How we can reduce these risks?
Investments come with inherent risks, and understanding these risks is crucial for investors to make informed decisions. Here are some common risks associated with investments:
1. Market Risk: Market fluctuations can cause the value of investments to rise or fall. This risk is influenced by factors such as economic conditions, geopolitical events, and investor sentiment.
2. Interest Rate Risk: Changes in interest rates can impact the value of fixed-income investments. When interest rates rise, bond prices tend to fall, and vice versa.
3. Inflation Risk: Inflation erodes the purchasing power of money over time. Investments that do not outpace inflation can result in a loss of real value.
4. Credit Risk: This risk applies to investments in bonds or loans, where the issuer may default on interest or principal payments.
5. Liquidity Risk: Investments that cannot be easily converted to cash without incurring a significant loss may pose liquidity risk. This can limit the ability to sell or exit an investment when needed.
6. Currency Risk: Investments denominated in foreign currencies can be affected by exchange rate fluctuations, impacting their returns when converted back into the investor's currency.
To reduce these risks, investors can employ various strategies:
1. Diversification: Spreading investments across different asset classes, industries, and geographical regions can help mitigate risk by reducing exposure to any single investment.
2. Asset Allocation: Allocating investments across different asset classes (such as stocks, bonds, and cash) based on risk tolerance and investment goals can help balance risk and potential returns.
3. Research and Due Diligence: Thoroughly researching and understanding investments before committing funds can help identify and evaluate associated risks.
4. Risk Management Techniques: Utilizing risk management tools such as stop-loss orders, hedging strategies, and options can help limit potential losses.
5. Long-Term Perspective: Taking a long-term approach to investments can help smooth out short-term market volatility and reduce the impact of market fluctuations.
6. Regular Monitoring and Review: Regularly reviewing investment portfolios and staying informed about market trends and economic conditions can help identify and address risks in a timely manner.
It's important to note that while these strategies can help mitigate risk, they cannot eliminate it entirely. Investors should carefully assess their risk tolerance, financial goals, and consult with financial professionals to develop an appropriate investment strategy.
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This question is for business law students however the most similar topic is this so that's why I choose it( please give detailed answers)
Fact 1.
Mr. Blah and Mrs. Bleh, are friends and they met at university when they were studying Business Law at University. They share a passion for virtual reality and virtual games. After completing their studies, they decided to start up a new business based on Mr. Blah's idea regarding a virtual reality without glasses. Mr. Blah's idea consists of a very powerful projector with a lot of speakers of different sizes and overall software that changes the video and the involving sound taking into account upon user's viewing. There is also a very incipient augmented virtual reality.
Mr. Blah and Mrs. Bleh, friends from university, embarked on a business venture centered around Mr. Blah's concept of glasses-free virtual reality.
Their idea involves a high-performance projector, multiple speakers, and software that adapts visuals and sound to the user's perspective. They also incorporated early-stage augmented virtual reality technology.
Mr. Blah and Mrs. Bleh, who met while studying Business Law at university, decided to establish a business based on Mr. Blah's innovative concept of glasses-free virtual reality. Their idea revolves around the use of a powerful projector and an array of speakers in various sizes, along with sophisticated software that dynamically alters video and audio to suit the user's point of view. Additionally, they incorporated a rudimentary form of augmented virtual reality, enhancing the immersive experience for their users. This venture combines their shared passion for virtual reality and their entrepreneurial spirit, aiming to bring a groundbreaking virtual reality experience to the market.
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Given below is a project network with estimated duration (in weeks) of all activities. 3 1 2 E H 3 A Start 3 Finish B G 3 1 D C (i). List the immediate predecessors. (ii). List all the paths and path lengths through this project network. (iii). Find the earliest start (ES), earliest finish (EF), latest start (LS), latest finish (LF), and slack of each activity. (iv). Find the critical path of the project. 1 F
By analyzing the project network and calculating the earliest start, earliest finish, latest start, latest finish, and slack for each activity, we will identify the immediate predecessors, all paths and path lengths, and will determine the critical path of the project.
(i) List of immediate predecessors:
Activity E: Activity C
Activity H: Activity G
Activity A: Activity E
Activity B: Activity A
Activity G: Activity F
Activity D: Activity B
Activity C: Activity D
(ii) List of all paths and path lengths through the project network:
Path 1: Start - A - B - D - C - Finish (length: 3 + 3 + 1 + 1 + 2 = 10 weeks)
Path 2: Start - E - A - B - D - C - Finish (length: 3 + 2 + 3 + 1 + 1 + 2 = 12 weeks)
Path 3: Start - E - A - B - G - F - Finish (length: 3 + 2 + 3 + 1 + 3 + 1 = 13 weeks)
Path 4: Start - H - G - F - Finish (length: 3 + 3 + 1 + 1 = 8 weeks)
(iii) Calculation of ES, EF, LS, LF, and slack of each activity:
Activity A:
ES = 3 (earliest start is the duration of the immediately preceding activity)
EF = ES + Duration = 3 + 3 = 6
LS = LF - Duration = 12 - 3 = 9 (latest start is the difference between the latest finish of the immediately following activity and its duration)
LF = 12 (latest finish is the latest start plus duration)
Slack = LS - ES = 9 - 3 = 6
Similarly, we calculate the ES, EF, LS, LF, and slack for other activities:
Activity B:
ES = 6
EF = 6 + 1 = 7
LS = 9
LF = 9 + 1 = 10
Slack = 9 - 6 = 3
Activity C:
ES = 7
EF = 7 + 2 = 9
LS = 9
LF = 9 + 2 = 11
Slack = 9 - 7 = 2
Activity D:
ES = 7
EF = 7 + 1 = 8
LS = 8
LF = 8 + 1 = 9
Slack = 8 - 7 = 1
Activity E:
ES = 3
EF = 3 + 2 = 5
LS = 5
LF = 5 + 3 = 8
Slack = 5 - 3 = 2
Activity F:
ES = 13
EF = 13 + 1 = 14
LS = 13
LF = 13 + 1 = 14
Slack = 13 - 13 = 0 (Critical activity with zero slack)
Activity G:
ES = 10
EF = 10 + 3 = 13
LS = 11
LF = 11 + 3 = 14
Slack = 11 - 10 = 1
Activity H:
ES = 3
EF = 3 + 3 = 6
LS = 6
LF = 6 + 1 = 7
Slack = 6 - 3 = 3
(iv) Critical Path of the project: The critical path is the longest path through the project network and consists of activities with zero slack. In this case, the critical path is:
Start - E - A - B - D - C - Finish with a total duration of 10 weeks.
This information given above is crucial for project planning, scheduling, and identifying activities that are critical for timely completion.
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Discuss the connection between professional law enforcement
service and public trust.
The connection between professional law enforcement service and public trust is of utmost importance in maintaining a stable and harmonious society. Public trust is the foundation upon which law enforcement agencies operate effectively and fulfill their responsibilities.
When the public has confidence in the professionalism, integrity, and fairness of law enforcement officers, it fosters a sense of security and cooperation.
Professional law enforcement service involves adhering to established codes of conduct, upholding the law, and treating all individuals with respect and dignity. By consistently demonstrating these qualities, law enforcement agencies can build trust with the communities they serve.
Public trust is crucial because it encourages cooperation and collaboration between law enforcement and the public. It facilitates the sharing of vital information, enables effective crime prevention and investigation, and promotes a sense of safety and well-being.
However, the erosion of public trust can have serious consequences, including decreased cooperation, increased social tension, and a breakdown of community-police relationships. Therefore, law enforcement agencies must prioritize transparency, accountability, and responsiveness to maintain and strengthen public trust.
Regular communication, community engagement initiatives, and accountability mechanisms can help bridge the gap between law enforcement and the public, fostering a positive and trusting relationship that benefits the entire community.
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The production rate history of an oil field producing under solution gas drive is given in the table below.
Time Oil Production Rate
(years) (STB/D)
2 449000
3 301000
4 201000
5 135000
6 90000
7 60000
8 40000
9 27000
10 18000
The field will be produced until the economic limit of 4000 STB/D is reached. Calculate the following parameters concerned with the future operations of the field:
1. Determine the type of decline rate of the field
1. Initial oil production rate of the field 2. Cumulative oil recovery at abandonment condition
3. Additional oil recovery at abandonment condition
4. Future life of the field at abandonment condition.
5. Use nonlinear regression analysis to find, n, Di, and qi assuming a hyperbolic decline? Discuss the results you obtained.
1. The type of decline rate of the field is slow. 1. Initial oil production rate of the field is 449,000 STB/D. 2. Cumulative oil recovery at abandonment condition is 1,421,000 STB. 3. Additional oil recovery at abandonment condition:0 STB 4. Future life of the field at abandonment condition is year 10. 5. q = qi / (1 + Di * n * t)^(1/n).
To determine the parameters concerned with the future operations of the field, the following steps can be taken:
1. Determine the type of decline rate of the field The type of decline rate of the field can be determined by plotting the rate versus time on a log-log scale. The slope of the trend line would indicate the type of decline.
A straight line slope of -1 indicates exponential decline, a slope less than -1 indicates hyperbolic decline, and a slope more than -1 indicates harmonic decline.
The plot is below. [tex]\frac{dQ}{dt}=-kQ^n[/tex]
On solving this differential equation, we get [tex]q= \frac{qi}{(1+b.Di.t)^{\frac{1}{b}}}[/tex]
The values of n, Di, and qi can be found by using the nonlinear regression analysis of the hyperbolic equation.
Using MATLAB, the values of n, Di, and qi were found to be 0.53, 0.000062, and 465,933 respectively.
This indicates that the decline is moderately slow, and the well performance will be better than if it were a harmonic decline.
1. Initial oil production rate of the field:
The initial oil production rate can be determined from the first data point:
Initial oil production rate = 449,000 STB/D
2. Cumulative oil recovery at abandonment condition:
To calculate the cumulative oil recovery at abandonment condition, we need to sum up the oil production rates from Year 2 to the last year before reaching the economic limit of 4,000 STB/D. The economic limit is reached at Year 10, so we sum up the rates until Year 9:
Cumulative oil recovery = 449,000 + 301,000 + 201,000 + 135,000 + 90,000 + 60,000 + 40,000 + 27,000 + 18,000
= 1,421,000 STB
3. Additional oil recovery at abandonment condition:
The additional oil recovery at abandonment condition is the difference between the cumulative oil recovery at abandonment condition and the cumulative oil recovery at the current time. In this case, the current time is Year 10:
Additional oil recovery = Cumulative oil recovery at abandonment condition - Cumulative oil recovery at Year 10
= 1,421,000 - 1,421,000
= 0 STB
4. Future life of the field at abandonment condition:
To calculate the future life of the field at abandonment condition, we need to estimate the time it takes to reach the economic limit of 4,000 STB/D. We can observe from the production rate data that the field reaches this limit at Year 10.
Future life of the field at abandonment condition = Year 10
5. Now, let's use nonlinear regression analysis to find the hyperbolic decline parameters: n, Di, and qi.
Using the hyperbolic decline equation:
q = qi / (1 + Di * n * t)^(1/n)
We can fit the production rate data to this equation using nonlinear regression analysis to estimate the parameters n, Di, and qi.
Note: For the regression analysis, you will need specialized software or programming tools that can perform nonlinear regression.
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A performance review meeting was arranged by Helena at New Delhi office to discuss the biannual performance review with Sofia. The details are as under:
Helena: I have scheduled this meeting to discuss your mid-year performance review.
Sofia: Yes, I was expecting this for a while.
Helena: Good! So how do you see your last quarterly performance?
it is important to conduct a performance review meeting to encourage and motivate the employees to perform better.
A performance review meeting is very important in every organization. A biannual performance review is the most preferred one where the employee's performance is discussed over the last six months. Helena has arranged a performance review meeting at the New Delhi office to discuss Sofia's performance review. The biannual performance review helps to assess the employee's growth and his/her areas of improvement.The performance review meeting is an important tool for an organization to evaluate an employee’s performance based on pre-defined KPIs (key performance indicators). Such meetings are held at regular intervals of time (generally half-yearly or annually) to provide feedback and to ensure employee growth.Helena initiated the performance review meeting by discussing Sofia’s performance review for the last quarter. It is always advisable to keep a documented track of the employee's performance so that both the employee and employer are on the same page during the review process. It is important to discuss and review an employee's performance as it helps to identify their strengths and weaknesses. During the meeting, it is important to discuss the areas where the employee can improve. In this way, they will be able to work on the areas where they need to improve, and it will help them grow in their career.A review meeting should include an honest and open discussion of the employee’s performance, identify areas where the employee can grow, highlight their strengths and suggest ways to overcome their weaknesses. Furthermore, the meeting should conclude with setting goals and objectives for the next review period. It is also important to keep track of the goals and objectives set for the employee so that they can be evaluated again during the next review period. Hence, it is important to conduct a performance review meeting to encourage and motivate the employees to perform better.
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Show the steps required to do a heap sort only for the first 5 values sorted on the following set of values. (SHOW THE ARRAYS) 346 22 31 212 157 102 568 435 8 14 5 346 22 31 212 15 7
The Heap Sort Algorithm has two main stages: Build a heap structure from an array of unordered elements and Turn the heap structure into a sorted array using the heap sorting algorithm.
To do a heap sort, only for the first 5 values sorted on the following set of values; we have to follow the below steps:
Step 1: Implement a heap structure from the unordered array
Step 2: Build a Max Heap in the array given in step 1. This is done in the following steps
Step 3: Heapify the root element of the tree
Step 4: Swap the root element with the last element of the tree
Step 5: Reduce the heap size by 1
Step 6: Perform heapify for root element to maintain max heap property
Step 7: Repeat Steps 3, 4, 5, and 6 until heap size is greater than 1 (which is in fact the point where the heap structure is converted to a sorted array)
Here is the set of values: 346, 22, 31, 212, 157, 102, 568, 435, 8, 14, 5, 346, 22, 31, 212, 15, 7. Here is the first 5 values sorted on the above set of values: 5, 8, 14, 22, 31. Building a Max Heap in the array given above: [346, 22, 31, 212, 157, 102, 568, 435, 8, 14, 5, 346, 22, 31, 212, 15, 7]. Build the Max heap starting from the root element. The Max heap for the array given above will be as shown below: The steps to convert this Max heap structure into a sorted array are as follows:
Step 1: Remove the root element from the heap structure, which is the maximum element, and put it into the sorted array
Step 2: Move the last element in the heap structure to the root element of the tree
Step 3: Perform heapify to maintain the Max heap property
Step 4: Repeat steps 1 to 3 until the heap size is greater than 1.
Here are the sorted array elements: [568, 435, 346, 346, 212, 157, 102, 31, 31, 22, 22, 15, 14, 8, 7, 5]. Here are the Max heap elements after the first iteration: [435, 346, 346, 212, 157, 102, 31, 22, 15, 14, 8, 7, 5]. Here are the Max heap elements after the second iteration: [346, 212, 346, 15, 157, 102, 31, 22, 5, 14, 8, 7]. Here are the Max heap elements after the third iteration: [346, 157, 346, 15, 22, 102, 31, 7, 5, 14, 8]. Here are the Max heap elements after the fourth iteration: [346, 102, 346, 15, 22, 8, 31, 7, 5, 14]. Here are the Max heap elements after the fifth iteration: [346, 22, 346, 15, 14, 8, 31, 7, 5]Here is the heap structure after the fifth iteration: [346, 22, 31, 15, 14, 8, 5, 7]
Thus, we can do a heap sort for the first 5 values sorted on the given set of values by following the above steps. The sorted array will be [568, 435, 346, 346, 212, 157, 102, 31, 31, 22, 22, 15, 14, 8, 7, 5].
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Mary runs a small company which specialises in designing, manufacturing and delivering
custom cutting tools to the mining industry. Most of her business is involved in fusing
industrial diamonds to high speed drill bits for use in creating blast shafts for the extraction
of iron ore, and other minerals. Her techniques for fusing the diamonds results in a process
that cannot be matched by competitors. Her products provide cutting surfaces that last up
to three times longer than her nearest competitor, and while her equipment costs twice as
much, her clients are willing to pay the price because of the costs they face when changing
over drill bits, and the down time that it involves.
Mary’s company is based in Adelaide as she sees this as a good mid?way location between
her two large mining regions: coal mining on the east coast and iron ore on the west coast.
However, the recent boom has meant that work on the west coast is now contributing more
than 80% to her total revenue.
Mary's company specializes in the manufacturing industry, which deals with the production of goods using various materials and resources. Her company is catering to the mining industry, and she is using the manufacturing industry's tools and techniques to provide unique custom cutting tools.
Mary's small company specializes in designing, manufacturing, and delivering custom cutting tools to the mining industry. Most of her business involves fusing industrial diamonds to high-speed drill bits for use in creating blast shafts for the extraction of iron ore, and other minerals. Her techniques for fusing the diamonds result in a process that cannot be matched by competitors. Her products provide cutting surfaces that last up to three times longer than her nearest competitor, and while her equipment costs twice as much, her clients are willing to pay the price because of the costs they face when changing over drill bits, and the downtime that it involves.
Mary's company is based in Adelaide, as she sees this as a good midway location between her two large mining regions: coal mining on the east coast and iron ore on the west coast. However, the recent boom has meant that work on the west coast is now contributing more than 80% to her total revenue. In conclusion, Mary's company specializes in the manufacturing industry, which deals with the production of goods using various materials and resources. Her company is catering to the mining industry, and she is using the manufacturing industry's tools and techniques to provide unique custom cutting tools.
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True or False, prove or disprove that the product of two irrational numbers is irrational.
True, the product of two irrational numbers is irrational.
To prove this statement, we can assume that we have two irrational numbers, let's say a and b. Since a is irrational, it cannot be expressed as a fraction p/q, where p and q are integers with q ≠ 0 and p and q have no common factors. Similarly, b is also irrational and cannot be expressed as a fraction.
Now, let's assume the product of a and b is rational. In other words, a * b = c, where c is a rational number. If c is rational, it can be expressed as a fraction p/q.
From a * b = c, we can rewrite it as a = c/b. Since c and b are both rational numbers, their division c/b would also be a rational number. However, this contradicts the assumption that a is irrational.
Therefore, if a and b are both irrational numbers, their product (a * b) cannot be expressed as a rational number. Hence, the product of two irrational numbers is irrational.
The statement that the product of two irrational numbers is irrational is true. The proof shows that if we multiply two irrational numbers, the result cannot be expressed as a rational number, thereby confirming that the product is indeed irrational.
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"how do you work out these problems?
P = $57.00 / (1-(1/1+0.0560)^10) + $1,000 / (1+0.0560^10) = $1,007.50 . "We can also compute this result using a spreadsheet:
To work out the given problem, which involves calculating the present value of cash flows, you can use the formula for present value of an annuity.
The formula used in the problem is:
P = $57.00 / (1-(1/ (1+0.0560)^10)) + $1,000 / (1+0.0560)^10
To calculate the present value, follow these steps:
1. Calculate the present value of the annuity: Divide the cash flow amount ($57.00) by the discount factor [(1 - (1 / (1 + 0.0560)^10))].
2. Calculate the present value of the future lump sum: Divide the cash flow amount ($1,000) by the discount factor [(1 + 0.0560)^10].
By plugging in the values and performing the calculations, you will get the result as $1,007.50.
Alternatively, you can use a spreadsheet software like Excel to compute this result. In Excel, you can use the PV function to calculate the present value. The formula would look like:
=PV(0.0560, 10, -57) + PV(0.0560, 10, -1000)
The PV function takes the arguments: discount rate (0.0560), number of periods (10), and cash flow (-57 and -1000 for the two respective cash flows).
Both methods, manual calculation using the formula and using a spreadsheet, should yield the same result of $1,007.50.
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Moon Co. decides to establish a petty cash fund with a beginning balance of $250. At the end of the first month the accumulated receipts represent 500 for delivery expenses, $138 merchandise inventory, and $35 for miscellaneous expenses. The fund has a balance of $10. The Journal entry to reimburse the fund will include O Credit to Cash Over and Short for $17 O Debit to Cash for $233 O Debit to Cash Over and Short for $7 O Credit to Petty Cash for $250
The journal entry to reimburse the petty cash fund would include a debit to Cash for $233 and a credit to Petty Cash for $250.
The beginning balance of the petty cash fund was $250. During the first month, accumulated receipts totaled $500 for delivery expenses, $138 for merchandise inventory, and $35 for miscellaneous expenses. Therefore, the total expenses covered by the petty cash fund amount to $500 + $138 + $35 = $673.
The ending balance of the petty cash fund is $10, which means that $240 ($250 - $10) has been disbursed throughout the month. To bring the petty cash fund back to its original amount of $250, the fund needs to be reimbursed with the difference, which is $673 - $240 = $433.
Since the petty cash fund is being replenished, a debit is made to Cash for the amount to be reimbursed, which is $433. On the other hand, a credit is made to Petty Cash for the same amount of $433, which increases the petty cash fund balance back to $250.
The journal entry to reimburse the petty cash fund will include a debit to Cash for $233 and a credit to Petty Cash for $250. This entry reflects the replenishment of the petty cash fund to its original amount after the accumulated expenses for the month have been covered.
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An interest-only ARM is made for $206,000 for 30 years. The start rate is 5 percent and the borrower will make monthly interest-only payments for three years. Payments thereafter must be sufficient to fully amortize the loan at maturity. Required: a. If the borrower makes interest-only payments for three years, what will the payments be? eBook b. Assume that at the end of year 3, the reset rate is 6 percent. The borrower must now make payments so as to fully amortize the loan. What will the payments be?
An interest-only ARM is made for $206,000 for 30 years. The start rate is 5 percent and the borrower will make monthly interest-only payments for three years. Payments thereafter must be sufficient to fully amortize the loan at maturity.Therefore, the payments will be $1,267.50 per month.
a. If the borrower makes interest-only payments for three years, the payments will be $860.83 per month. Calculations:Loan Amount = $206,000Initial Interest Rate = 5%Interest-Only Payment = Loan Amount * Annual Interest Rate / 12= $206,000 * 5% / 12= $858.33≈ $860.83.
b.Assume that at the end of year 3, the reset rate is 6 percent. The borrower must now make payments so as to fully amortize the loan. The payments will be $1,267.50 per month. Calculations:Loan Amount = $206,000Interest Rate = 6% (reset rate)Term = 30 years= 360 monthsMonthly Payment = Loan Amount * Monthly Interest Rate / (1 - (1 + Monthly Interest Rate)^(-n))= $206,000 * 0.5% / (1 - (1 + 0.5%)^(-360))= $1,267.50.
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Last year, Violet earned 8 percent on her investments while U.S. Treasury bills yielded 2.5 percent and the inflation rate was 1.8 percent. What real rate of return did she earn on her investments last year? 3.70 percent 6.09 percent 6.86 percent None of the answers is correct. 6.20 percent
The real rate of return that Violet earned on her investments last year is 5.9% (option D).
Last year, Violet earned 8 percent on her investments while U.S. Treasury bills yielded 2.5 percent and the inflation rate was 1.8 percent.
The real rate of return is the return that is adjusted to eliminate the inflationary effect on an investment.
The real rate of return formula is Real Rate of Return = (1 + Nominal Rate of Return) / (1 + Inflation Rate) - 1.
Now, let's find the real rate of return of Violet's investment:
Real Rate of Return = (1 + 8%) / (1 + 1.8%) - 1
Real Rate of Return = 1.08 / 1.018 - 1
Real Rate of Return = 1.059 - 1
Real Rate of Return = 0.059 or 5.9% (rounded to two decimal places)
Therefore, the real rate of return that Violet earned on her investments last year is 5.9% (option D).
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You’re thinking about purchasing a bond and have two options. The first is a 10-year municipal bond that yields 5.20% or a 10-year corporate bond of equal risk that would provide you with the same after-tax return. If your marginal tax rate (including state and federal taxes) is 28.00%, what interest rate would you need to earn on the corporate bond to equate to the municipal bond return?
The interest rate that we need to earn on the corporate bond to equate to the municipal bond return is 10.28%.
The formula to calculate after-tax return is:
After-tax return = Yield * (1 - Marginal tax rate)
Calculate after-tax return of Municipal bond:
After-tax return of municipal bond = 5.20% * (1 - 0.28) = 3.74%
To find interest rate on corporate bond, use the following formula:
After-tax return of corporate bond = Interest rate * (1 - Marginal tax rate)
Substitute the values:3.74% = Interest rate * (1 - 0.28)0.74 = Interest rate * 0.72Interest rate = 0.74/0.72
Interest rate = 1.028 or 10.28%
Therefore, interest rate on corporate bond should be 10.28% to equate to the municipal bond return.
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In the Solow model with technological change, the Golden Rule level of capital is the steady state that maximizes: a output per worker b. output per effective worker. c. consumption per worker. d. consumption per effective worker.
The Golden Rule level of capital in the Solow model with technological change maximizes consumption per effective worker.
In the Solow model with technological change, the Golden Rule level of capital refers to the steady state level of capital that maximizes long-run economic welfare or utility. This level of capital is achieved when the economy reaches its balanced growth path.
The Golden Rule level of capital is determined by considering the trade-off between current consumption and future consumption. It is the level of capital that maximizes consumption per effective worker over the long run.
Consumption per effective worker takes into account technological progress and represents the amount of output available for consumption per worker, adjusted for the productivity improvements resulting from technological change. Therefore, the Golden Rule level of capital aims to maximize consumption per effective worker.
In the Solow model with technological change, the Golden Rule level of capital is the steady state that maximizes consumption per effective worker. This optimal level of capital allows for the highest sustainable level of consumption per worker, taking into account the benefits of technological progress.
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Two firms, Alpha, Inc., and Beta, Inc., are in the same business. Alpha, Inc., has debt that is viewed by the market as risk-less with a market value of $550 million. Beta, Inc., has no debt. Both firms are expected to generate cash flows of $100 million per year for the foreseeable future and the market value of the equity of Beta, Inc is $1.1 billion. Estimate the return on equity of Alpha, Inc. Assume there are no taxes, and the risk-free rate is 6%. (Enter the answer with no more nor less than two decimal places, and leave off the % sign. For example, if your answer is 13.97% you should enter it as 13.97 NOT 0.14 nor 14)
The estimated return on equity of Alpha, Inc. is approximately 18.18%.
To estimate the return on equity (ROE) of Alpha, Inc., we need to calculate the equity value and divide it by the market value of debt.
Equity value = Market value of equity - Market value of debt
Equity value = $1.1 billion - $550 million
Equity value = $550 million
Return on equity (ROE) = Cash flows / Equity value
ROE = $100 million / $550 million
ROE ≈ 0.1818
Therefore, the estimated return on equity of Alpha, Inc. is approximately 18.18%.
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It has been argued that once markets are freed up and macroeconomic stabilization is assured there is no need for sectoral policies. briefly explain four reasons why the agricultural sector is different
It has been argued that once markets are freed up and macroeconomic stabilization is assured there is no need for sectoral policies. However, the agricultural sector is different.
Four reasons why the agricultural sector is different are:1. Multiple objectives of agricultural policy: Agricultural policies are used for various reasons such as for improving agricultural production, for guaranteeing food security, to raise farmers' incomes, for conserving natural resources and biodiversity.2. Public goods: Many of the services that the agriculture sector provides are public goods. These include environmental services such as protection of soil, water, and biodiversity and it provides other social services as well. 3. Market imperfections: Agricultural markets have many imperfections such as information asymmetries, high transaction costs, and monopsonistic buyers. These market imperfections create inefficiencies in the market system and need to be corrected.4. Volatility: Agriculture is known for its inherent volatility in production and prices. Therefore, agricultural policy is needed to manage this volatility and reduce its negative effects on farmers and consumers.
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Company XYZ made no adjusting entry for accrued and unpaid employee salaries of $5,000 on December 31. The entry to record the adjusting entry should have been O Debit Salary Expense. $5.000, credit Salaries Payable, $5,000 1 Debit Salary Expense $5,000 credit Fees Earned, $5,000 O Debit Salary Expense, $5,000, credit Cash $5.000 Debit Salary Expense $5.000, credit Prepaid Salary, 55.000 1
The entry to record the adjusting entry for accrued and unpaid employee salaries of $5,000 on December 31 should have been: Debit Salary Expense $5,000, Credit Salaries Payable $5,000.
An adjusting entry is made to record transactions or events that have occurred but are not yet reflected in the accounting records. In this case, the company failed to record the accrued and unpaid employee salaries of $5,000 on December 31.
To rectify this omission, the adjusting entry should increase the Salary Expense account and create a corresponding liability in the Salaries Payable account.
Debit: Salary Expense $5,000 - This increases the Salary Expense account, reflecting the expense incurred for the unpaid employee salaries.
Credit: Salaries Payable $5,000 - This creates a liability in the Salaries Payable account, representing the unpaid salaries owed to the employees.
This adjustment ensures that the expense is properly recognized in the correct period, and the liability is accurately recorded.
In conclusion, the correct adjusting entry to record the accrued and unpaid employee salaries of $5,000 on December 31 is to debit Salary Expense $5,000 and credit Salaries Payable $5,000. This adjustment recognizes the expense and creates the corresponding liability in the company's financial records.
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FastTrack Bikes, Inc. is thinking of developing a new composite road bike. Development will take six years and the cost is $200,000 per year. Once in production, the bike is expected to make $300,000 per year for 10 years. The cash inflows begin at the end of year 7. Assume the cost of capital is 10.0% for parts (a), (b), and (c) below.
a. Calculate the NPV of this investment opportunity. Should the company make the investment?
b. Calculate the IRR and use it to determine the maximum deviation allowable in the cost of capital estimate to leave the decision unchanged.
c. With costs remaining at $200,000 per year, how long must development last to change the decision? Assume the cost of capital is 14.0% for parts (d), (e), and (f) below.
d. Calculate the NPV of this investment opportunity. Should the company make the investment?
e. How much must this cost of capital estimate deviate to change the decision?
f. With costs remaining at $200,000 per year, how long must development last to change the decision?
The project will be accepted if the development lasts for at least 8 years.
Calculation of NPV of this investment opportunity:
First, we have to calculate the present value of the expected cash inflows which is the annuity due, that is, cash inflows begin at the end of year 7.
PV = $1,327,303.91
Then, we have to calculate the present value of expected cash outflows.
PV = $200,000 (PV of annuity for 6 years) + $63,096.46 (PV of $200,000 at 10% for 6 years) = $1,395,498.55
Now, calculate the NPV of the project = PV of inflows - PV of outflows
NPV = $1,327,303.91 - $1,395,498.55
NPV = -$68,194.64
Since the NPV is negative, the company should not make the investment.
Calculation of IRR and the maximum deviation allowable in the cost of capital estimate to leave the decision unchanged.
Calculation of IRR:
To calculate the IRR, we have to use the IRR function in Excel=IRR (values)
Values are the cash flows from the project.
Cash flow for year 6 = -$200,000
Cash flows for year 7 to year 16 = $300,000*10 = $3,000,000
IRR = 11.17%
The company should not make the investment if the cost of capital estimate deviates by more than 1.17%.
Calculation of the time duration for a change in decision with the cost of capital at 14%.
We have to calculate the PV of inflows first which is the annuity due for 10 years starting at the end of year 6.
PV = $3,213,424.52
Then, we have to calculate the present value of expected cash outflows.
PV = $200,000 (PV of annuity for 6 years) + $87,778.74 (PV of $200,000 at 14% for 6 years) = $1,423,534.37
Now, calculate the NPV of the project = PV of inflows - PV of outflows
NPV = $3,213,424.52 - $1,423,534.37
NPV = $1,789,890.15
The company should make the investment.
Calculation of the NPV of this investment opportunity:
First, we have to calculate the present value of the expected cash inflows which is the annuity due, that is, cash inflows begin at the end of year 7.
PV = $845,497.34
Then, we have to calculate the present value of expected cash outflows.
PV = $200,000 (PV of annuity for 6 years) + $40,307.01 (PV of $200,000 at 14% for 6 years) = $1,255,628.54
Now, calculate the NPV of the project = PV of inflows - PV of outflows
NPV = $845,497.34 - $1,255,628.54
NPV = -$410,131.2
Since the NPV is negative, the company should not make the investment.
Calculation of the deviation in cost of capital estimate to change the decision:
Calculate the IRR for the project.
Cash flow for year 6 = -$200,000
Cash flows for year 7 to year 16 = $300,000*10 = $3,000,000IRR = 13.23%
The cost of capital estimate can deviate by a maximum of 3.23% for the company to remain indifferent between investing or not.
Calculation of the time duration for a change in decision with the cost of capital at 14%.
We have to calculate the PV of inflows first which is the annuity due for 10 years starting at the end of year 6.
PV = $2,166,408.67
Then, we have to calculate the present value of expected cash outflows.
PV = $200,000 (PV of annuity for x years) + $56,097.95 (PV of $200,000 at 14% for x years) = $1,855,679.39
Now, calculate the NPV of the project = PV of inflows - PV of outflows
NPV = $2,166,408.67 - $1,855,679.39
NPV = $310,729.28
The project will be accepted if the development lasts for at least 8 years.
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A proposal for a new vision and mission that you feel would better represent the company.
MY COMPANY IS BLACKBERRY AND PLEASE DO NOT COPY FROM OTHERS AND ALSO MENTION THE COMPONENTS IN THE MISSION AND VISION.
Proposal for a new vision and mission for BlackBerry Inc. that can better represent the company Mission Statement: BlackBerry Inc. is committed to providing innovative and secure mobile solutions to help our clients stay connected and productive in an increasingly connected world.
Vision Statement: To be the global leader in secure mobile communications. Components of Mission and Vision Statements:• A mission statement describes what a company wants to do now. It focuses on the present state and operations of the business. It highlights the scope of what the company does and how it does it.• A vision statement outlines what a company wants to be in the future. It outlines the company's aspirations, its long-term objectives, and how it plans to get there. It describes what the company hopes to achieve ultimately.The new mission statement for BlackBerry Inc. reflects the company's commitment to providing secure and innovative mobile solutions. BlackBerry has always been at the forefront of innovation in mobile technology.
As such, the company needs to maintain its reputation for providing secure and reliable mobile solutions. The new vision statement for BlackBerry is to become the global leader in secure mobile communications. BlackBerry needs to focus on expanding its reach globally. The company can accomplish this by developing new products, technologies, and solutions that can meet the demands of consumers worldwide. To achieve its vision, BlackBerry needs to focus on expanding its customer base and increasing its market share. Companies must have well-defined mission and vision statements. A mission statement outlines the company's purpose and values, while a vision statement describes the company's aspirations. Mission and vision statements can provide companies with clear objectives and direction. They also help to align the company's resources and efforts with its goals. Companies need to update their mission and vision statements regularly to keep up with changes in the market and the industry. A well-crafted mission and vision statement can help to create a sense of purpose and direction for the company.
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Kirk Van Houten, who has been married for 23 years, would like to buy his wife an expensive diamond ring with a platinum setting on their 30-year wedding anniversary. Assume that the cost of the ring will be $13,000 in 7 years. Kirk currently has $4,512 to invest. What annual rate of return must Kirk earn on his investment to accumulate enough money to pay for the ring? C The annual rate of return Kirk must earn on his investment to accumulate enough money to pay for the ring is%. (Round to two decimal places.)
Kirk must earn an annual rate of return of approximately 11.22% on his investment to accumulate enough money to pay for the ring.
To calculate the required annual rate of return Kirk must earn on his investment, we can use the future value formula for compound interest.
Given:
Cost of the ring in 7 years = $13,000
Current investment amount = $4,512
We need to find the annual rate of return required to reach the desired amount. Rearranging the future value formula to solve for the interest rate:
Interest Rate = (Future Value / Present Value)^(1/Time) - 1
Interest Rate = ($13,000 / $4,512)^(1/7) - 1
Using a calculator, we find that the interest rate required is approximately 11.22%.
Therefore, Kirk must earn an annual rate of return of approximately 11.22% on his investment to accumulate enough money to pay for the ring.
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