Atlantic Company's contribution margin per unit is $19.
In order to calculate the contribution margin per unit for Atlantic Company, we need to understand the various costs associated with producing and selling the product. The selling price of the product is $31, and the company has sales of $15,500. This means that Atlantic Company sold 500 units of the product ($15,500 ÷ $31). The variable manufacturing costs are $4,000, which means that the company incurs a cost of $8 per unit ($4,000 ÷ 500 units) to manufacture the product. The fixed manufacturing costs are $1,000, which means that the company incurs a cost of $2 per unit ($1,000 ÷ 500 units) to manufacture the product.To calculate the contribution margin per unit, we need to subtract the variable costs from the selling price.
The variable costs per unit are $8 + $4 = $12.
Therefore, the contribution margin per unit is $31 - $12 = $19.
For more such questions on contribution margin
https://brainly.com/question/24962994
#SPJ11
as companies expand and hire more people, these people need to know how they fit into the organization so that the company will achieve its objectives effectively and efficiently. the development of a(n)
As companies grow and hire more employees, it becomes crucial to establish clear communication channels and organizational structure to ensure that everyone understands their roles and responsibilities. This is where the development of a formal organizational chart becomes important.
An organizational chart is a visual representation of the company's structure, depicting the hierarchy of roles and relationships between departments and individuals. It serves as a reference tool for employees to understand their position within the organization and the chain of command. Additionally, an organizational chart helps managers to identify areas of overlap or gaps in the workforce, making it easier to allocate resources and responsibilities more efficiently.
Overall, a well-designed organizational chart can aid in creating a more streamlined and productive work environment, where employees understand their role and how it fits into the larger picture of the company's objectives.
Learn more about organizational chart here: https://brainly.com/question/29539156
#SPJ11
Calculate the future value of $7,000 in?
A. Four years at an interest rate of 8% per year. B. Eight years at an interest rate of 8% per year. C. Four years at an interest rate of 16% per year. D. Why is the amount of interest earned in part (a) less than half the amount of interest earned in part (b)?
a.$9523
b.$12957
c.$ 12674
d. Since more interest has been paid at the end of the time period than at the beginning , the money grows faster.
a. PV = 7000
RATE = 8%
YEARS = 8
FUTURE VALUE = PV* (1+r)ⁿ
= 7000 (1+0.08)⁴
= 9523
The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
b. Rate = 8%
Years = 8
FUTURE VALUE = PV* (1+r)ⁿ
7000 (1+0.08)⁸
= 12957
c. Rate = 16%
Years = 4
FUTURE VALUE = PV* (1+r)ⁿ
7000 (1+0.16)⁴
= 12674
d. Since more interest has been paid at the end of the time period than at the beginning , the money grows faster.
To know more abut FUTURE VALUE here:
https://brainly.com/question/13504821#
#SPJ11
describe the differences between contributory programs, noncontributory programs and tax expenditures. which programs are the most generous to which americans and why?
Contributory programs are funded by individual contributions, noncontributory programs are funded by taxes, and tax expenditures are subsidies given through the tax code. The most generous programs vary depending on income and need.
Contributory systems, like Social Security and Medicare, are paid for by individual contributions that employees make throughout their working lives. Non-contributory programmes like Medicaid and SNAP are paid for by taxes and offer benefits to individuals who qualify. Subsidies provided by the tax code, such as the mortgage interest deduction, are known as tax expenditures.
In general, noncontributory programmes like Medicaid and SNAP are more generous to those with lower incomes, while contributory programmes like Social Security and Medicare provide more benefits to those who have contributed more over their lifetimes. The most generous programmes vary depending on income and need.
Learn more about expenditures:
https://brainly.com/question/29773439
#SPJ4
You are an up-and-coming tax associate at the Einstein accounting firm in Los Altos, California. Recently, your partner, Thomas Edison
asked you to prepare the Federal tax return for a company founded by an old friend ‐ Einsteins Firm
Einsteins Firm was formed in 1992 by Steve Jobs and Stephen Wozniak. Steve and
Stephen officially incorporated their business on April 1, 1976. Einsteins Firm sells
miniature architectural models, blue French horns, and the Sensory Deprivation 5000 (as seen
on Shark Tank). Steve owns 60% of the outstanding common stock of Einsteins Firm and
Stephen owns the remaining 40%.
Einsteins Firm is located at One Infinite Loop, Cupertino, CA 95014. Its employer
identification number is 12‐34567 and its business activity code is 453990 ‐ Miscellaneous
Retailer. Einsteins Firm uses the accrual method of accounting and has a calendar yearend.
The officers of Einsteins Firm and their social security numbers are:
Name Title SS number
Steve Jobs CEO/President 535‐45‐7892
Stephen Wozniak Executive VP 789‐36‐1277
Ronald Wayne VP 321‐78‐9844
Tim Cook Secretary 411‐65‐7833
1. Interest income includes:
From a City of New York bond of $7,500
From a U.S. Treasury bond $9,375
From a money market account $5,625
2. Miscellaneous expenses include parking fines issued by the City of New York $300
3. Einstein's Firm dividend income came from Goliath National Bank (GNB). Einsteins Firm owned 25,000 shares of the stock in Cardinal at the beginning of the year. This
represented 95% of GNB outstanding stock.
4. On July 22, 2021 Einsteins Firm sold 2,500 shares of its GNB stock.
Selling price $50,000
Einsteins Firm originally purchased these shares on April 24, 2015, $61,000
5. Accounts receivable written off by Einsteins Firm during the year were $52,500
6. Warranty claims actually paid during the year are $41,000
7. The corporation uses MACRS depreciation for tax purposes.
The corporation purchased all of its equipment on July 1, 2016.
Einsteins Firm took the maximum amount of §179 depreciation available in 2016
(no bonus depreciation). The equipment is all 7-year property.
Cost of the equipment $1,125,000
8. During the year, Einsteins Firm sold some equipment.
Selling price $18,000
Original purchase price $16,500
Total book depreciation on the equipment $5,550
Total tax depreciation on the equipment is $7,800
9. On December 1, 2021 Einsteins Firm paid a dividend to its shareholders of $120,000
10. Wages to non‐officers are $900,000
11. The corporation paid the following compensation to its officers:
Steve Jobs $337,500
Stephen Wozniak $322,500
Ronald Wayne $217,500
Tim Cook $172,500
12. Einsteins Firm made four equal estimated tax payments:
If it has overpaid its federal tax liability, Einsteins Firm would like to
receive a refund. $57,750
As a tax associate at Einstein accounting firm, I am tasked with preparing the federal tax return for Einsteins Firm, which was incorporated in 1976 by Steve Jobs and Stephen Wozniak.
The company sells various products, with Jobs and Wozniak owning 60% and 40% of the common stock, respectively. To complete the tax return, I will consider interest income from bonds and money market accounts, dividend income from Goliath National Bank, gains and losses from the sale of stock and equipment, accounts receivable write-offs, warranty claims, MACRS depreciation, and payment of dividends to shareholders.
Additionally, I will include wages for non-officers and compensation for officers in the tax calculation. Finally, I will account for the estimated tax payments made throughout the year. If there is an overpayment of federal tax liability, Einsteins Firm would like to receive a refund. By considering all these financial factors, I will ensure the tax return accurately reflects the company's financial position and complies with federal tax regulations.
For more about accounting firm:
https://brainly.com/question/28364190
#SPJ11
T/F each element of a campaign has to be effective on its own, since it may be the first and only exposure for the consumer.
The statement "that each element of a campaign should be effective on its own, as it may be the first and only exposure for the consumer." is true, this is because consumers often encounter marketing campaigns through various channels and touchpoints.
For instance, they may see an advertisement on social media, a billboard, or in a magazine. It's essential for marketers to ensure that each individual component of a campaign can effectively communicate the brand's message and persuade potential customers.
When designing a campaign, marketers should consider factors such as the target audience, key message, and the desired outcome. Each element should be designed in such a way that it can stand alone, yet still contribute to the overall campaign strategy.
This involves creating compelling visuals, engaging copy, and clear calls-to-action that can capture consumers' attention and drive them to take the desired action, whether it's making a purchase, signing up for a newsletter, or visiting a website.
By creating standalone, effective elements within a campaign, marketers can maximize their chances of reaching consumers at different touchpoints, making the overall marketing strategy more successful.
This approach also helps create a cohesive brand experience, as consumers are more likely to recall and recognize the brand if they encounter consistent and impactful messages across various channels.
To know more about campaign, refer here:
https://brainly.com/question/30099987#
#SPJ11
ron and madeleine couple received their 2023 form 1099-div (dividends received) in the amount of $1,450. ron and madeleine are in the 27% bracket.what would be their tax liability on the dividends received?
Tax liability of Ron and Madeleine is $1,995.72.
What's tax liabilityRon and Madeleine's tax liability on the dividends received would be calculated as follows:
First, they need to determine their taxable income including the $1,450 in dividends
Assuming no other income, their taxable income would be $5,383 ($4,000 standard deduction + $1,450 dividends - $67 personal exemption).
Next, they need to calculate the tax on this amount using the tax brackets for 2023.
The first $19,050 of taxable income is taxed at 10%, the next $58,350 is taxed at 12%, and the remaining amount up to their taxable income is taxed at 27%.
Their tax liability on the dividends received would therefore be $290.50, calculated as follows:
- The first $19,050 is taxed at 10%, which is $1,905.
- The remaining $336 ($5,383 - $19,050) is taxed at 27%, which is $90.72.
- Their total tax liability is $1,905 + $90.72 = $1,995.72.
However, it's important to note that this calculation assumes no other income or deductions. Ron and Madeleine's actual tax liability may differ based on their individual tax situation.
Learn more about tax liability at
https://brainly.com/question/16950901
#SPJ11
your social presence on the internet is not important when interviewing for a job since it is illegal for an employer to consider such sources when examining your credentials. true false
The correct answer is False.
While it is illegal for employers to discriminate based on certain protected characteristics, such as race or religion, they can and often do use social media and other online sources to gather information about job candidates.
Therefore, it is important to maintain a professional and appropriate social media presence.
To know more about discriminate here
https://brainly.com/question/29801080
#SPJ11
increased worker productivity during the first hawthorne studies determined that two factors affected productivity. what are they?
During the first Hawthorne studies, it was determined that two factors affected productivity: social and psychological factors. The researchers found that workers were more productive when they felt like they were part of a team and when they believed that their work was important. Additionally, they found that work increased when they were given attention and feedback from their supervisors. These findings helped to shape the field of industrial psychology and have had a lasting impact on how organizations think about and manage their workforce.
to know more about hawthorne:
https://brainly.com/question/16013586
#SPJ11
Venezuelan Bolivar (A). The Venezuelan government officially floated the Venezuelan bolivar (Bs) in February 2002. Within weeks, its value had moved from the pre-float fix of Bs 774/$ to Bs 1,028 /$. a. Is this a devaluation or a depreciation? b. By what percentage did the value change?
a. This is a depreciation of the Venezuelan bolivar (Bs).
b. The percentage change in the value of the bolivar can be calculated as follows:
((New Value - Old Value) / Old Value) x 100%
= ((1028 - 774) / 774) x 100%
= 32.9%
Therefore, the value of the bolivar depreciated by approximately 32.9% in the weeks following its floatation.
A depreciation occurs when the value of a currency falls relative to another currency, while a devaluation is a deliberate decision by a government to lower the value of its currency. In this case, the floatation of the bolivar was a market-driven event, and the resulting depreciation was due to changes in supply and demand for the currency.
For more questions like Currency click the link below:
https://brainly.com/question/30240732
#SPJ11
at december 31, bull dog inc reported accounts receivable of $200,000 and an allowance for uncollectible accounts of $600 (debit) before any adjustments. an analysis of accounts receivable suggests that the allowance for uncollectible accounts should be 3% of accounts receivable. the amount of the adjustment for uncollectible accounts would be:
The amount of the adjustment for uncollectible accounts is $5,400.
Based on the information provided, at December 31, Bull Dog Inc. accounts receivable of $200,000 and an allowance for uncollectible accounts of $600 (debit) before any adjustments. To calculate the adjustment for uncollectible accounts, we will apply the suggested 3% rate to the accounts receivable balance:
$200,000 (accounts receivable) × 3% = $6,000
Since the current allowance for uncollectible accounts is $600 (debit), we need to adjust it to reach the suggested $6,000. The adjustment for uncollectible accounts would be:
$6,000 (desired balance) - $600 (current balance) = $5,400
Learn More about uncollectible accounts here :-
https://brainly.com/question/14413061
#SPJ11
in the context of future contracts, open interest at any given
time is the total number of outstanding
A. clear housing positions
B. untrenged positions
C. net long vs short positions
D. contracts
In the context of future contracts, open interest at any given time is the total number of outstanding contracts.(D)
Open interest in the context of future contracts refers to the total number of outstanding contracts that have not been settled or closed out by the end of a trading day. This includes both long and short positions that have been established but not yet offset by an opposite position.
It is a useful indicator of market activity and liquidity, as high open interest suggests a more active and potentially volatile market. However, it is important to note that open interest does not provide information on the direction or sentiment of the market, as it includes both bullish and bearish positions.
Overall, open interest is a key metric for traders and investors to consider when analyzing future contracts and making informed decisions.(D)
To know more about volatile market click on below link:
https://brainly.com/question/29839340#
#SPJ11
which of the following must an employee show to hold an employer liable for racial harassment? group of answer choices the harassment was based on gender. the harassment was unwelcome. the employer was directly responsible for the harassment. the harassment was not so pervasive or severe that it created an abusive environment.
To hold an employer liable for racial harassment, an employee must show that the harassment was unwelcome and that the employer was directly responsible for it.
An employee must show that the harassment was unwanted, meaning they did not promote, instigate, or start the behavior, to hold an employer accountable for racial harassment. Additionally, the employee must show that the harassing behaviour was directly caused by the employer, for example, by the latter's failure to take adequate action after learning of the behaviour via complaints.
The harassment must also interfere with the employee's ability to execute their job tasks and create a situation that a reasonable person would find intimidating, hostile, or insulting. Finally, the harassment must be serious or pervasive enough to establish a hostile work environment.
Learn more about harassment:
https://brainly.com/question/30561803
#SPJ4
speech communities tend to regard talk as a way to accomplish concrete goals, exert control, preserve independence, entertain, and enhance status. true or false
Speech communities are groups of people who share a common language or dialect and use it to communicate with each other. The statement in question shall be true.
In such communities, talk is often seen as a way to achieve specific goals, such as exchanging information, making decisions, or expressing emotions.
Additionally, talk can be a means of exerting control or influence over others, whether in the form of persuading, convincing, or directing others to take certain actions. In some cases, talk may be used to preserve independence or assert one's autonomy in a given situation.
Furthermore, talk can be a form of entertainment, such as through storytelling, joke-telling, or engaging in witty banter. Finally, talk can be a means of enhancing one's status within a community, such as by demonstrating one's knowledge, expertise, or social skills.
Of course, the specific goals and purposes of talk may vary depending on the context and cultural norms of a given speech community. However, it is generally true that talk serves multiple functions and can be used in a variety of ways to achieve a range of objectives
Learn more about Speech communities at
brainly.com/question/29363248
#SPJ4
True. Speech communities often use language to achieve specific objectives, assert authority, maintain autonomy, provide amusement, and improve their social standing. Depending on the cultural context and the communicative situation, different speech communities may prioritize certain functions over others.
However, all speech communities recognize the instrumental value of talk in achieving practical, social, and psychological goals. A speech community is a collection of individuals who adhere to the same linguistic standards and expectations for speaking and writing. Speech community members use the same language in comparable ways and for similar reasons. Numerous variables, including as geographic location, ethnicity, socioeconomic class, age, gender, and employment, might influence the composition of speech communities. For instance, a speech community may consist of individuals who reside in a specific area or speak a specific dialect of a language, such as Southern American English or British English speakers. Members of a speech community may also use unique vocabulary, grammatical rules, or pronunciation patterns, as well as non-verbal communication techniques like gestures.
Learn more about Speech communities here:
https://brainly.com/question/7049554
#SPJ11
A) The backing maneuver (driving in reverse) can be difficult because a large blind spot to the rear of vehicle can be confusing. When changing lanes, drivers should NOT: Cross multiple lanes in one maneuver. Carefully consider whether they have the time and space to complete the pass safely.
That statement is correct. When changing lanes, drivers should not cross multiple lanes in one maneuver, as it increases the risk of a collision.
Drivers should also carefully consider whether they have the time and space to complete the pass safely before changing lanes. Additionally, drivers should always check their mirrors and blind spots before making any lane changes or backing maneuvers to ensure that they are aware of any potential hazards in their surroundings.
Backing Maneuvers:
Always check behind and around the vehicle for any obstacles or people before beginning the backing maneuver.
Use the mirrors and backup camera (if available) to help you see what's behind you.
Back up slowly and cautiously, making sure to stop if anything comes into your path.
Use your turn signals to indicate your intention to back up, and make sure that other drivers and pedestrians are aware of your movements.
learn more about collision here:
https://brainly.com/question/29013438?utm_source=android&utm_medium=share&utm_campaign=question
#SPJ11
Backing a vehicle and changing lanes require caution due to blind spots and potential for confusion. It is important not to rush these maneuvers and to use all available tools (mirrors, indicators, checking blind spots) to ensure safety.
Explanation:Backing and changing lanes in a vehicle are tasks that require careful attention and understanding of driving principles. The backing maneuver can be challenging due to a large blind spot at the back of the vehicle. Drivers should use all available mirrors, turn their heads to look directly if necessary, and proceed slowly to ensure safety.
Furthermore, when changing lanes, drivers should not cross multiple lanes in one maneuver because this can cause confusion and potentially lead to accidents. Instead, each lane change should be a separate action, taking time to ensure that the lane you're moving into is clear. It’s crucial to use indicators and check mirrors and blind spots before and after every lane change.
Learn more about Driving Principles here:https://brainly.com/question/32800943
#SPJ6
Rashid started out as a front office worker, and over the years worked his way up to the CEO position. As such, Rashid lkely found that as he moved up in responsibility, he required a higher level of skills Multiple Choice technical professional conceptual and decision Informational
As Rashid progressed in his career from a front office worker to a CEO, he likely faced increasing demands on his skills and abilities.
What skills and abilities are required for career progression from a front office worker to a CEO, and how do they differ?While technical skills and abilities, to use specific tools or software, may have been important in his earlier roles, as he advanced to higher positions, he likely required a more professional skill set.
This would include skills such as leadership, strategic thinking, and communication. Additionally, conceptual skills, such as the ability to understand and analyze complex systems and processes, would have become more critical as he was responsible for overseeing the entire organization.
Finally, decision-making skills would have been essential for a CEO, as he would have had to make difficult choices that would impact the company's overall performance. Throughout his career, Rashid likely had to continuously develop and refine his skills to meet the challenges of each new role
Learn more about skills and abilities
brainly.com/question/31024612
#SPJ11
amelia's father is planning to open a savings account to pay for amelia's college education. he has found a bank that will pay 7 percent interest compounded annually. how much will he need to deposit initially so that in 8 years the balance will be $142,000? round your answer to the nearest cent.
Amelia's father needs to initially deposit approximately $87,760.47 to have a balance of $142,000 in 8 years.
we'll use the formula for compound interest:
A = [tex]P(1+r/n)^{nt}[/tex],
where A is the final amount, P is the initial principal, r is the interest rate, n is the number of times interest is compounded per year, t is the number of years, and we need to solve for P.
Given:
A = $142,000
r = 7% = 0.07
n = 1 (compounded annually)
t = 8 years
We can now plug the values into the formula and solve for P:
$142,000 = [tex]P(1+0.07/1)^{1*8}[/tex]
$142,000 = [tex]P(1.07)^{8}[/tex]
Now, divide both sides by [tex](1.07)^{8}[/tex] to find P:
P = $142,000 / [tex](1.07)^{8}[/tex]
P ≈ $87,760.47
So, Amelia's father needs to initially deposit approximately $87,760.47 to have a balance of $142,000 in 8 years with a 7% interest rate compounded annually.
Know more about Compound interest here:
https://brainly.com/question/24274034
#SPJ11
Why might someone consider paying less than 28 percent of monthly gross income for housing? Under what
circumstances might it be necessary to pay more than 28 percent?
Someone might consider paying less than 28 percent of their monthly gross income for housing in order to have more money available for other necessary expenses, such as food, transportation, healthcare, or savings.
Under what circumstances might it be necessary to pay more than 28 percent?Keeping housing costs lower can provide a buffer in case of unexpected expenses or emergencies. It can also help individuals and families avoid being financially stretched thin and facing difficulty in making ends meet.
On the other hand, it might be necessary for someone to pay more than 28 percent of their monthly gross income for housing under certain circumstances. For example, in areas with high housing costs, such as large cities or urban areas with limited affordable housing options, it may be difficult to find suitable housing that falls within the 28 percent guideline. In some cases, paying more for housing may be necessary to secure a safe and stable living environment, especially if it is close to work or important amenities.
Furthermore, for individuals or families with high income levels or who have significant financial resources, paying more than 28 percent of monthly gross income for housing may not be a financial burden. In these cases, it may be more important to prioritize living in a desirable location or having certain amenities or features in their housing, even if it means paying more.
Ultimately, the decision on how much to spend on housing should be based on a careful consideration of individual financial circumstances, needs, and priorities.
Learn more about income from
https://brainly.com/question/28154877
#SPJ1
How are the extensions positioned of L'Oreal and how
do they contribute to brand equity?
L'Oreal's extensions are positioned to appeal to various consumer segments and price points, which effectively contribute to the brand's equity by enhancing its reputation, establishing strong brand associations, and fostering brand loyalty.
The extensions of L'Oreal are strategically positioned to cater to various segments of the beauty and cosmetics market, ultimately contributing to the brand's overall equity. L'Oreal offers a diverse range of product extensions, including hair care, skincare, makeup, and fragrances, which cater to different consumer needs and preferences.
These extensions are positioned across various price points, from affordable products to luxury offerings, to attract a wide range of consumers. For example, L'Oreal's more affordable hair care extensions are positioned as high-quality products for the mass market, while their premium skincare lines target consumers seeking luxury and exclusivity.
In terms of brand equity, these strategically positioned extensions enhance L'Oreal's image and reputation by fulfilling the needs and expectations of diverse consumer groups. By offering products that cater to different preferences and budgets, L'Oreal showcases its commitment to innovation and inclusivity.
Moreover, these extensions enable L'Oreal to establish strong brand associations, as consumers can easily identify the brand with a wide array of beauty solutions. This fosters brand loyalty and encourages repeat purchases, further contributing to brand equity.
In summary, L'Oreal's extensions are positioned to appeal to various consumer segments and price points, which effectively contribute to the brand's equity by enhancing its reputation, establishing strong brand associations, and fostering brand loyalty.
To know more about segments refer here:
https://brainly.com/question/30727489#
#SPJ11
You are a portfolio manager, and you wish to invest in a stock having σ = 40%. You also want to create a put option on the investment, so that at the end of the year you won't have more than 5% losses. Since there is no put option on this specific stock, you plan to build a synthetic put by engaging in a dynamic investment strategy - purchasing a portfolio composed of dynamically changing proportions of the risky asset and risk-free bonds. If the interest rate is 6%, how much should you invest initially in the portfolio and in the risk-free bond?
To create a synthetic put option, the initial investment should be split between the risky asset and risk-free bonds in such a way that the risky asset has a weight of 0.4.
Meanwhile, the remaining portion is invested in risk-free bonds, and the total initial investment should be $1.61 million.
To solve the problem, we first need to calculate the standard deviation of the portfolio, which is given by:
[tex]\sigma_{portfolio} = \sqrt{w_{risky}^2 \times \sigma_{risky}^2 + w_{rf}^2 \times \sigma_{rf}^2 + 2 \times w_{risky} \times w_{rf} \times cov(risky, rf)}[/tex]
where w_risky and w_rf are the weights of the risky asset and risk-free bonds, respectively, σ_risky and σ_rf are the standard deviations of the risky asset and risk-free bonds, respectively, and cov(risky, rf) is the covariance between the risky asset and risk-free bonds.
Since we want to create a synthetic put option with a maximum loss of 5%, we need to find the weight of the risky asset that will result in a standard deviation of 40% and a 5% loss. Using the Black-Scholes formula, we can calculate the required return on the synthetic put as:
[tex]r_{synthetic} = r_{rf} - \frac{\sigma_{portfolio}}{\sqrt{t}} \cdot N^{-1}(-d_2)[/tex]
where r_rf is the risk-free rate, t is the time to expiration (1 year in this case), and N_inv(-d2) is the inverse cumulative standard normal distribution of -d2, where d2 is the standard Black-Scholes parameter.
Solving for w_risky, we get:
[tex]w_\text{risky} = \frac{\sigma_\text{rf}^2 - \sigma_\text{portfolio}^2 + (r_\text{rf} - r_\text{synthetic})^2 t}{2\text{cov}(r_\text{risky}, \text{rf}) (r_\text{rf} - r_\text{synthetic}) t}[/tex]
Substituting the given values, we get:
σ_portfolio = 0.4
σ_risky = 0.4
σ_rf = 0.06
r_rf = 0.06
t = 1
N_inv(-d2) = 1.645 (for a 5% loss)
cov(risky, rf) = 0 (since the risky asset and risk-free bonds are uncorrelated)
Plugging these values into the equations above, we get:
w_risky = 0.4
w_rf = 0.6
r_synthetic = 0.01
Finally, to determine the initial investment, we can use the equation:
[tex]P_0 = \frac{w_{risky} \times S_0 + w_{rf} \times (1 + r_{rf})}{1 + r_{synthetic}}[/tex]
where P_0 is the initial investment, S_0 is the initial stock price, and the other variables have their previously calculated values. Solving for P_0, we get:
P_0 = $1.61 million
Learn more about initial investment: https://brainly.com/question/19090357
#SPJ11
Acort Industries owns assets that will have a(n) 85% probability of having a market value of $45 million one year from now. There is a 15% chance that the assets will be worth only $15 million. The current risk-free rate is 11%, and Acort's assets have a cost of capital of 22%. a. If Acort is unlevered, what is the current market value of its equity? b. Suppose instead that Acort has debt with a face value of $12 million due in one year. According to MM, what is the value of Acort's equity in this case? c. What is the expected return of Acort's equity without leverage? What is the expected return of Acort's equity with leverage? d. What is the lowest possible realized return of Acort's equity with and without leverage?
a) The current market value of its equity is $34.43 million
b) The value of Acort's equity in this case is $34.43 million
c) The exact expected return will depend on the amount of debt and its cost.
d) The exact lowest possible return will depend on the amount of debt and its cost.
a. The expected market value of Acort's assets one year from now is
E(V) = 0.85($45 million) + 0.15($15 million) = $42 million
The current market value of Acort's equity can be calculated as the present value of this expected future value of assets: PV = E(V) / (1 + r) = $42 million / (1 + 0.22) = $34.43 million
b. According to Modigliani and Miller's (MM) theorem, the value of Acort's equity is not affected by the presence of debt, as long as the firm is operating in a perfect capital market. Therefore, the value of Acort's equity with debt is the same as the value of Acort's equity without debt: Equity value = $34.43 million
c. The expected return of Acort's equity without leverage is the cost of equity, which can be calculated using the capital asset pricing model (CAPM): rE = rF + βE (rM - rF) where rM is the market risk premium, E is the equity beta, and rF is the risk-free rate.
The cost of equity is: Assumes a beta of 1.2 and a market risk premium of 8% rE = 0.11 + 1.2(0.08) = 0.19 or 19% With leverage, the expected return of Acort's equity will be higher due to the additional risk associated with debt. The exact expected return will depend on the amount of debt and its cost.
d. The lowest possible realised return of Acort's equity without leverage is 15%, which occurs if the assets are worth only $15 million one year from now. The lowest possible realised return of Acort's equity with leverage will be lower, as the presence of debt increases the risk of the equity. The exact lowest possible return will depend on the amount of debt and its cost.
To learn more about capital market visit:
https://brainly.com/question/13072007
#SPJ4
with ______________ in place, communicated, and approved, the stakeholders are appraised of the work to be done and are less likely to make assumptions that could be costly.
The stakeholders are informed of the work that needs to be done and are less prone to make costly assumptions when scope analysis plans have been established, communicated, and authorized.
Researching and learning the needs of a system from users, customers, and other stakeholders is known in requirements engineering as requirements elicitation. Enterprise Analysis: This knowledge area explains how business analysts discover a need in the organization, then further define it, make it more clear, and specify the scope of a solution that the organization can adopt.
"Requirement collection" is another name for the procedure. A fishbone diagram is a visual tool for classifying a problem's possible sources. This instrument is employed to determine the underlying reasons of an issue.
Learn more about stakeholders Visit: brainly.com/question/15532995
#SPJ4
With a clear and comprehensive scope statement in place, communicated, and approved, all stakeholders involved in a project are fully informed of the work to be done, the objectives to be achieved, and the expected outcomes.
The scope statement defines the boundaries of the project and sets the expectations for what will be delivered. It outlines the goals, deliverables, timelines, and resources required to complete the project successfully.
By having a well-defined scope statement, stakeholders are less likely to make assumptions that could be costly in terms of time, money, or resources. The scope statement helps to avoid misunderstandings and miscommunications, and ensures that all parties are aligned and working towards a common goal. This results in better collaboration, increased accountability, and improved project outcomes. A clear and concise scope statement is therefore essential for the success of any project, providing a foundation for effective project planning, execution, and control.
For more such questions on stakeholders
https://brainly.com/question/4404879
#SPJ11
You are given the choice between two mutually exclusive projects (8 points) Project A $20,000 initial investment $6,000 a year NCF for 6 years Project B $25,000 initial investment $5,300 a year in NCF for years if the cost of capital is 0%, which project should you select if you will need this capacity for the indefinite future. Explain the basis for your decision. A number one is not sufficient
Since the cost of capital is 0%, the discount rate is effectively 0% as well. Therefore, we can compare the projects by simply adding up the present value of their cash flows.
Project A:
PV = -$20,000 + $6,000/(0%+1)^1 + $6,000/(0%+1)^2 + $6,000/(0%+1)^3 + $6,000/(0%+1)^4 + $6,000/(0%+1)^5 + $6,000/(0%+1)^6
PV = -$20,000 + $6,000 + $6,000 + $6,000 + $6,000 + $6,000 + $6,000
PV = $20,000
Project B:
PV = -$25,000 + $5,300/(0%+1)^1 + $5,300/(0%+1)^2 + $5,300/(0%+1)^3 + $5,300/(0%+1)^4 + $5,300/(0%+1)^5
PV = -$25,000 + $5,300 + $5,300 + $5,300 + $5,300 + $5,300
PV = -$1,500
Since the present value of Project A is positive and the present value of Project B is negative, we should select Project A. This means that Project A generates more value than its initial cost, while Project B generates less value than its initial cost, when the cost of capital is 0%.
Since we need this capacity for the indefinite future, it is important to consider the long-term cash flows of each project. Project A has a higher annual net cash flow and a lower initial investment, which means that it is likely to generate more cash flow over time. Therefore, selecting Project A would be the better choice for the long-term.
Click the below link, to learn more about Cost of capital:
https://brainly.com/question/31368538
#SPJ11
To determine which project to select, we need to calculate the net present value (NPV) of each project, which takes into account the time value of money and allows for a direct comparison of the two projects.
it is important to conduct a sensitivity analysis to determine how changes in the cost of capital may affect the decision.
Assuming a cost of capital of 0%, the NPV for Project A can be calculated as follows:
NPV(A) = [tex]-$20,000 + $6,000/(1+0) + $6,000/(1+0)^2 + $6,000/(1+0)^3[/tex] + [tex]$6,000/(1+0)^4[/tex] + [tex]$6,000/(1+0)^5[/tex] + [tex]$6,000/(1+0)^6[/tex]
NPV(A) = $20,000
Similarly, the NPV for Project B can be calculated as follows:
NPV(B) = [tex]-$25,000 + $5,300/(1+0) + $5,300/(1+0)^2 + $5,300/(1+0)^3 + ...[/tex]
Since Project A has a higher NPV than Project B, it would be the better choice if the goal is to maximize the present value of cash flows. This means that if you will need this capacity for the indefinite future, Project A would be the better choice.
However, it is important to note that a cost of capital of 0% is highly unlikely in any realistic scenario, and changing the cost of capital can lead to different conclusions. Therefore, it is important to conduct a sensitivity analysis to determine how changes in the cost of capital may affect the decision.
Learn more about cost of capital
https://brainly.com/question/16031467
#SPJ4
laramie company paid $800,000 for a purchase that included land, building, and office furniture. an appraiser provided the following estimates of the market values of the assets if they had been purchased separately: land, $100,000, building, $740,000, and office furniture, $160,000. based on this information the cost that would be allocated to the land is: multiple choice $80,000. $70,000. $100,000. $107,000.
The cost that was allocated to the land is $100,000. The cost for the land that was purchased as part of the package deal can be calculated by subtracting the total cost of the purchase ($800,000) and the estimated market values of the building and office furniture ($740,000 + $160,000 = $900,000).
The difference between the total cost and the estimated market values of the other two assets is $100,000, which is the cost allocated to the land. Therefore, the cost that was allocated to the land is $100,000.
This cost is calculated by subtracting the estimated market value of the land ($100,000) from the total cost of the purchase, which is the most reasonable method of allocating cost in this situation.
Know more about assets here
https://brainly.com/question/14826727#
#SPJ11
A
$1,000 par value bond with a five-year maturity has a current price
of $835. Annual interest payments are $60. What is the yield to
maturity? (hint: coupon rate/face value)
The yield to maturity for this bond is approximately 7.19%.
To find the yield to maturity, we will use the formula: (Annual Interest Payment / Face Value) * 100. In this case, we are given the annual interest payment and face value. Here's a step-by-step explanation to find the yield to maturity:Identify the given values:For more such question on maturity
https://brainly.com/question/15344510
#SPJ11
10/1 Points) DETAILS PREVIOUS ANSWERS HARMATHAP 126.4.043. MY NOTES PRACTICE ANOTHER A young couple wants to have a college fund that will pay $35,000 at the end of each ball-year for years (a) If they can Invest compounded semiannually, how much do they need to invest at the end of each month period for the next 18 years to begin making their college withdrawals 6 months after their last investment? (Round your answer to the nearest cant) (6) Suppose years after beginning the annuity payments, they receive an inheritance of $30,000 that they contribute to the account, and they continue to make their regular payments as found in part (a). How many college withdrawals will they be able to make before the account balance is $07 (Round your answer to the nearest whole number) withdrawal Need Help? Show My Workowo
Compounded investment is a method of investing where the returns on an investment are reinvested back into the investment, leading to exponential growth over time.
(a) To find out how much they need to invest at the end of each month period, we can use the formula for the present value of an annuity:
PV = PMT * ((1 - (1 + r/n)^(-nt)) / (r/n))
where:
PV is the present value of the annuity (the amount they need to invest now)
PMT is the payment they want to receive each period ($35,000)
r is the annual interest rate (unknown)
n is the number of times the interest is compounded per year (2 for semiannual)
t is the total number of periods (36 for 18 years with semiannual compounding)
We want to solve for the payment PMT, so we need to rearrange the formula:
PMT = PV / ((1 - (1 + r/n)^(-nt)) / (r/n))
We know that they want to receive $35,000 at the end of each ball-year (i.e., every 6 months), so the number of payments per year is 2. Therefore, the monthly payment can be found by dividing the annual payment by 24:
Monthly Payment = $35,000 / 24 = $1,458.33
Now, we can plug in the given values and solve for the present value PV:
PV = $1,458.33 * ((1 - (1 + r/2)^(-2*18)) / (r/2))
Using a financial calculator or software, we can find that the interest rate r that satisfies this equation is approximately 3.36% (rounded to two decimal places).
Therefore, they need to invest $1,458.33 at the end of each month period for the next 18 years to have enough money to make their college withdrawals starting 6 months after their last investment.
(b) After years of beginning the annuity payments, the present value of the annuity will have decreased due to the payments and the earnings on the account. When they receive the $30,000 inheritance, they can add it to the account and continue making their regular payments. The present value of the annuity at this point can be found by calculating the future value of the payments already made and subtracting it from the future value of the remaining payments and the inheritance, all discounted to the present:
PV = FV(Remaining payments and inheritance) - FV(Payments already made)
We can use the formula for the future value of an annuity to find these two values:
FV = PMT * ((1 + r/n)^(nt) - 1) / (r/n)
The remaining payments will be for 18 - 10 = 8 years (or 16 semiannual periods). The payments already made will be for 10 years (or 20 semiannual periods). The interest rate is still 3.36% and the number of compounding periods per year is still 2.
Plugging in the values, we get:
FV(Remaining payments and inheritance) = $35,000 * ((1 + 0.0336/2)^(2*16) - 1) / (0.0336/2) + $30,000
= $648,845.09
FV(Payments already made) = $35,000 * ((1 + 0.0336/2)^(2*20) - 1) / (0.0336/2)
= $409,859.75
Therefore, the present value of the annuity is:
PV = $648,845.09 - $409,859.75 = $238,985.34
They can continue making their regular payments and the present value of the annuity will be enough to cover the college fund payments of $35,000 per year for 8 more years.
(c) To find out how many college withdrawals they can make before the account balance is $0, we need to calculate the present value of the annuity at that point. We can use the same formula as in part (b):
PV = FV(Payments remaining) / (1 + r/n)^nt
The remaining payments will be for 8 years (or 16 semiannual periods). The interest rate and the number of compounding periods per year are still 3.36% and 2, respectively.
Plugging in the values, we get:
PV = $35,000 * ((1 + 0.0336/2)^(216) - 1) / (0.0336/2) / (1 + 0.0336/2)^(218)
= $159,827.22
Since the account balance will be $0 when the last payment is made, the present value of the remaining payments should equal the account balance at that point. Therefore, they will be able to make $159,827.22 / $35,000 = 4.568 or approximately 5 college withdrawals before the account balance is $0 (rounded to the nearest whole number).
To know more about investment visit:
https://brainly.com/question/30999457
#SPJ11
for which of the following reasons will a company with a defined-benefit plan record a pension liability at the end of the year? select answer from the options below if the amount of pension expense exceeds the amount of employer contributions. if the fair value of the plan assets exceeds the projected benefit obligation. if the projected benefit obligation exceeds the fair value of the plan assets. if the amount of employer contributions exceeds the pension expense.
A company with a defined-benefit plan will record a pension liability at the end of the year c. if the projected benefit obligation exceeds the fair value of the plan assets.
This is because the company has an obligation to provide pension benefits in the future, and if the plan assets are insufficient to cover these obligations, a liability must be recorded to reflect this shortfall.
Pension Liabilities means any current or future obligations, liabilities or underfunding in relation to pension plans, retiree medical and any other long-term pension, welfare or benefit plans and any similar plans, programs and obligations.
The term pension liability refers to the amount of money that a private company—or a city or state or federal government—has to account for in order to make future pension payments.
In other words, a pension liability is the difference between the total amount due to retirees and the actual amount of money the company has on hand to make those payments. What it's not—and this is an important distinction—is the total amount that gets paid in future pensions.
Of course, the company or government may have more money currently than it needs to pay future pensions, and that's known simply as a pension surplus.
Therefore, the correct answer is option c. if the projected benefit obligation exceeds the fair value of the plan assets.
Learn more about pension liability here: https://brainly.com/question/29887314
#SPJ11
Stephanie wants to save for her daughter's education. Tuition costs $10,000 per year in today's dollars. Her daughter was born today and will go to school starting at age 18. She will go to school for 4 years. Stephanie can earn 12% on her investments and tuition inflation is 6%. How much must Stephanie save at the end of each year if she wants to make her last savings payment at the beginning of her daughter's first year of college?
A. $1,889. B. $2,104. C. $2,389. D. $1,687.
Stephanie must save $16,308.28 at the end of each year. None of the given answer options match this amount exactly, but the closest one is A. $1,889.
To calculate how much Stephanie must save each year, we need to take into account both the tuition inflation and the investment return. We can use the future value formula to find out how much $10,000 will be worth in 18 years with a 6% inflation rate:
FV = $10,000 x (1 + 0.06)^18
FV = $25,892.55
So, Stephanie will need to pay $25,892.55 per year for 4 years, or a total of $103,570.20 in today's dollars.
To calculate how much Stephanie needs to save each year to reach this amount, we can use the present value formula:
PV = C x [(1 - (1 + r)^-n) / r]
Where:
PV = present value (amount Stephanie needs to save each year)
C = annual payment
r = investment return rate (12%)
n = number of years until first payment (18)
Plugging in the numbers, we get:
PV = C x [(1 - (1 + 0.12)^-18) / 0.12]
PV = C x 6.3523
So, Stephanie needs to save:
C = PV / 6.3523
C = $103,570.20 / 6.3523
C = $16,308.28
Therefore, Stephanie must save $16,308.28 at the end of each year. None of the given answer options match this amount exactly, but the closest one is A. $1,889.
To learn more about Tuition Plan visit:
https://brainly.com/question/14063094
#SPJ11
raul's furrier marks up mink coats $3,000. this represents a 50% markup on cost. what is the cost of the coats?
The original cost of the mink coats is $6,000.
How to calculate the cost of the coatsRaul's Furrier marks up mink coats by $3,000, which represents a 50% markup on the cost of the coats.
To find the original cost of the coats, we can use the markup percentage and the markup amount. Let's denote the cost of the coats as "C".
Since the markup is 50% of the cost, we can represent the markup amount ($3,000) as 0.5 * C (50% converted to decimal is 0.5).
Now, we can set up an equation: 0.5 * C = $3,000
To solve for C (the cost of the coats), we can simply divide both sides of the equation by 0.5:
C = $3,000 / 0.5 C = $6,000
Learn more about original cost at
https://brainly.com/question/30143744
#SPJ11
nikos' lawn-mowing service is a profit-maximizing, competitive firm. if nikos mows ten lawns per day at a price of $27 per lawn and has a total cost of $280, of which $30 is a fixed cost, what should nikos do in the long run? lower his fixed costs to become more competitive raise the price, so that he can cover his fixed costs continue operating, since he is covering part of his fixed costs and all his variable costs leave the industry, since he is not covering his fixed costs
Nikos should continue operating in the long run since he is covering all his variable costs and part of his fixed costs.
Nikos mows 10 lawns per day at a price of $27 per lawn, which gives him a total revenue of $270 ($27 x 10). His total cost is $280, of which $30 is a fixed cost.
This means his variable cost is $250 ($280 - $30). Since his total revenue covers his variable costs and contributes towards his fixed costs, he is a profit-maximizing, competitive firm. In the long run, if he continues to cover his variable costs and some of his fixed costs, he can stay competitive in the industry.
To know more about variable costs click on below link:
https://brainly.com/question/27853679#
#SPJ11
It’s been 2 months since you took a position as an assistant financial analyst at Caledonia Products. Although your boss has been pleased with your work, he is still a bit hesitant about unleashing you without supervision. Your next assignment involves both the calculation of the cash flows associated with a new investment under consideration and the evaluation of several mutually exclusive projects. Given your lack of tenure at Caledonia, you have been asked not only to provide a recommendation but also to respond to a number of questions aimed at judging your understanding of the capital-budgeting process. The memorandum you received outlining your assignment follows:
To: The Assistant Financial Analyst
From: Mr. V. Morrison, CEO, Caledonia Products
Re: Cash Flow Analysis and Capital Rationing
We are considering the introduction of a new product. Currently we are in the 34 percent marginal tax bracket with a 15 percent required rate of return or cost of capital. This project is expected to last 5 years and then, because this is somewhat of a fad product, be terminated. The following information describes the new project:
The project in question is a new product introduction that is expected to last for 5 years and then be terminated, as it is considered a fad product.
What's Caledonia ProductsCurrently, Caledonia Products is in the 34 percent marginal tax bracket with a 15 percent required rate of return or cost of capital.
Your recommendation for this project will not only be based on the cash flow calculation but also on your understanding of the capital-budgeting process.
Your boss is still hesitant about giving you full autonomy without supervision, and this assignment will be a test of your understanding of the financial concepts and your ability to provide a sound recommendation.
To make a good recommendation, you will need to consider the cost of capital, the tax bracket, and the expected cash flows for the project's duration.
Learn more about cash flow at
https://brainly.com/question/30066211
#SPJ11