It is given that firm's unit price for product is $40 with a sale os 2000 units. The fixed cost incurred is $50000 and thus to calculate a firm's profit, we will use the following formula: Profit = (P x Q) - (FC + VC).
Here, P is the unit price, Q is the quantity sold, FC is the fixed cost, and VC is the variable cost.
a) With a variable cost of $20,000:
Profit = ($40 x 2,000) - ($50,000 + $20,000) = $80,000 - $70,000 = $10,000
b) With a variable cost of $10,000:
Profit = ($40 x 2,000) - ($50,000 + $10,000) = $80,000 - $60,000 = $20,000
c) With a variable cost of $50,000:
Profit = ($40 x 2,000) - ($50,000 + $50,000) = $80,000 - $100,000 = -$20,000 (loss)
d) With a variable cost of $110,000:
Profit = ($40 x 2,000) - ($50,000 + $110,000) = $80,000 - $160,000 = -$80,000 (loss)
e) With a variable cost of $150,000:
Profit = ($40 x 2,000) - ($50,000 + $150,000) = $80,000 - $200,000 = -$120,000 (loss)
In summary, the firm's profit for each variable cost scenario is: a) $10,000; b) $20,000; c) -$20,000 (loss); d) -$80,000 (loss); e) -$120,000 (loss).
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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.
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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
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An investor owns a portfolio, consisting of a long strip position and a short strap position. The options for the strip and strap positions have the same underlying stock, same strike price and maturity. At maturity, the payoff of this porfolio is similar to
Select one:
a. a short call option
b. a short collar
c. a short forward contract on the share
d. a short bear spread
e. a short put option
An investor owns a portfolio, consisting of a long strip position and a short strap position. The options for the strip and strap positions have the same underlying stock, same strike price and maturity, the payoff of this portfolio is similar to a short put option.
Here, correct option is E.
A strip and a strap are both option strategies that involve a combination of long and short positions. A strip involves buying a call option and selling a put option on the same underlying stock, while a strap involves buying a call option and buying a put option.
The payoff of this portfolio at maturity is similar to a short put option. This is because the value of the portfolio will decrease if the underlying stock price rises and increase if the underlying stock price falls. In other words, the investor will benefit from the decrease in the underlying stock price. Therefore, correct option is E.
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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.
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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.
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what should a successful vision do for an organization? multiple select question. it should ensure that employees understand their job duties. it should describe the products and services it plans to provide. it should inspire employees. it should make employees feel that their work is important.
A successful vision c. it should inspire employees and d. it should make employees feel that their work is important.
A vision statement outlines the aims, objectives, and ideal future state of the organisation and acts as a guide for strategic planning and decision-making. Employees should be motivated to work towards a shared objective and believe that their contributions are significant to reaching that objective.
It should also provide the organisation direction by outlining the goals and principles that influence its operations as well as the upcoming goods, services, or effects it hopes to have. A good organisation's vision should reflect its core principles and long-term goals while also motivating and guiding its workforce. Employees should be motivated and made to feel as though their job matters.
Complete Question:
what should a successful vision do for an organization?
a. it should ensure that employees understand their job duties.
b. it should describe the products and services it plans to provide.
c. it should inspire employees.
d. it should make employees feel that their work is important.
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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.
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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
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as output increases, what happens to the difference between atc and avc?
The difference between ATC (average total cost) and AVC (average variable cost) generally decreases. This is because as production levels increase, fixed costs are spread over a larger number of units, which reduces the impact of those costs on the overall cost per unit (represented by ATC). On the other hand, variable costs tend to increase with output, but at a decreasing rate due to economies of scale. This means that the difference between ATC and AVC becomes smaller as output increases.
As output increases, the fixed costs are spread over a larger quantity of output, leading to a decrease in average total cost (ATC). At the same time, average variable cost (AVC) may also decrease initially due to economies of scale or increased efficiencies in production. However, as output continues to increase, AVC may start to increase due to diminishing returns or other factors. Therefore, the difference between ATC and AVC tends to narrow as output increases, with ATC typically remaining above AVC.
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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
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Assume Leroy contributes $200 per month to a retirement plan for 5 years. Then, Leroy will be able to increase his contribution to $300 per month for another 8 years. Given a 3 percent interest rate, what is the value of Leroy's retirement plan after 13 years? $67.369.98 $50.400.00 $44,565.60 $59.770.45
The final value of Leroy's retirement plan after 13 years is $67,771.98
To calculate the value of Leroy's retirement plan after 13 years, we can use the formula for future value of an annuity. First, we can find the future value of Leroy's contributions of $200 per month for 5 years at a 3 percent interest rate.
Using a financial calculator, this comes out to be $13,009.27. Then, we can find the future value of his increased contributions of $300 per month for another 8 years at the same interest rate. This comes out to be $43,360.18. Adding these two values together gives us a total future value of $56,369.45.
However, we also need to add the interest earned on these contributions for the remaining 13th year. Using the same interest rate, this comes out to be an additional $11,401.53. Therefore, the final value of Leroy's retirement plan after 13 years is $67,771.98. The closest answer option to this is $67,369.98.
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Sean's boss asks him to write an email message to all employees to tell them how to request computer help This message will be an example of
a) internal-operational communication
b) external-operational communication
c) personal communication
d) both internal-operational and external-operational communication
e) both internal-operational and personal communication
The message that Sean writes to all employees to tell them how to request computer help is an example of option A- internal-operational communication
Internal-operational communication is communication that takes place within an organization and is related to the day-to-day operations of the business. In this case, Sean's message to all employees is focused on providing information about how to request computer help, which is a part of the daily operations of the organization.
Internal-operational communication is an important aspect of running a successful organization because it ensures that everyone is informed about what is happening within the company and that they are aware of their roles and responsibilities. It can take many forms, including emails, memos, phone calls, meetings, and more.
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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.
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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.
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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.
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calculate the amount of interest (straight basis) on a 6-month loan of $2,000 at a 15 percent interest rate.
To calculate the amount of interest (straight basis) on a 6-month loan of $2,000 at a 15 percent interest rate, you need to use the formula:
Interest = Principal x Rate x Time
Here, the principal is $2,000, the rate is 15 percent per annum, and the time is 6 months or 0.5 years.
So, plugging in the values, we get:
Interest = $2,000 x 0.15 x 0.5
Interest = $150
Therefore, the amount of interest (straight basis) on a 6-month loan of $2,000 at a 15 percent interest rate is $150.
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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.
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Share common attitudes toward life insurance (400 words min)
Life insurance is a form of financial protection that offers financial assistance to the beneficiaries of the policyholder in the event of their untimely demise.
It is a crucial tool for providing financial stability and security to dependents and loved ones left behind. Despite its importance, people tend to have varying attitudes towards life insurance.
Firstly, some individuals view life insurance as a necessary evil. They believe that it is a necessary investment, but one that is done out of compulsion rather than genuine interest.
These individuals understand the importance of having life insurance but may be unwilling to spend money on it or delay buying it until they are much older. This attitude may stem from a lack of awareness about the benefits of life insurance, or a reluctance to confront their own mortality.
Secondly, there are those who view life insurance as an unnecessary expense. These individuals may not see the value in buying life insurance, as they believe that they are healthy and unlikely to pass away anytime soon.
They may also view it as an additional financial burden, especially if they have other financial commitments such as mortgages, loans, or credit card debts. This attitude may be due to a lack of understanding about how life insurance works and the risks associated with not having it.
Thirdly, some people view life insurance as a safety net for their loved ones. They understand the importance of having life insurance and are willing to invest in it to ensure that their dependents are taken care of in the event of their unexpected demise.
They view it as a way to provide financial security and peace of mind to their families, knowing that their loved ones will be able to pay for funeral expenses and other financial obligations without having to worry about the financial burden.
Lastly, there are individuals who view life insurance as an investment tool. These individuals may be interested in the different types of life insurance products available, such as whole life insurance, variable life insurance, or universal life insurance.
They may see life insurance as a way to save for the future, build wealth, and leave a legacy for their loved ones. This attitude is more common among individuals who are financially literate and understand the benefits of different investment vehicles.
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A trader creates a bull call spread by buying an option for $4.00 at the $70 strike price and selling an option at $1.00 at the $75 strike price. What is the initial investment (in $ per share, i.e enter 4.00, not 400, for one spread)? Please enter your answer as a number with two decimal places (no dollar sign).
The maximum loss for this strategy is limited to the initial investment of $3.00 per share if the underlying asset's price falls below the $70 strike price.
How to determine the initial investmentThe initial investment for the bull call spread is $3.00 per share (i.e., $4.00 - $1.00).
This is because the trader is buying an option for $4.00 and selling an option for $1.00, resulting in a net debit of $3.00.
The options have a $70 and $75 strike price, which means the trader is bullish on the underlying asset and expects it to increase in value.
The maximum profit for this strategy is the difference between the strike prices minus the initial investment, which in this case is $2.00 per share (i.e., $75 - $70 - $3.00).
The maximum loss for this strategy is limited to the initial investment of $3.00 per share if the underlying asset's price falls below the $70 strike price.
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spencer spencer enterprises is attempting to choose among a series of new investment alternatives. the potential investment alternatives, the net present value of the future stream of returns, and the capital requirements are summarized in the attached file. the available capital funds over the next three years are $10,000, $10,000 and $10,000. solve the model to maximize the net present value in dollars. what is the maximum net present value in dollars?
The maximum net present value in dollars that can be achieved is $2,055.38.
How to maximum net present value in dollars?To solve this problem, we need to use a financial analysis technique called Net Present Value (NPV).
NPV calculates the present value of all expected cash inflows and outflows of a project, using a specified discount rate. The goal is to choose the investment alternative with the highest NPV.
1. Calculate the NPV for each investment alternative, using the given discount rate of 10%.
The NPV formula is:
NPV = (Cash Inflows / (1 + Discount Rate)^Year) - Initial Investment
For example, for Investment Alternative 1 in Year 1: NPV1,1 = ($1,000 / (1 + 0.1)^1) - $5,000 NPV1,1 = $909.09 - $5,000 NPV1,1 = -$4,090.91 Repeat this calculation for all investment alternatives and years, using the data in the attached file.
2. Create a decision variable for each investment alternative, indicating whether it should be selected or not.
For example: X1,1 = 1 if Investment Alternative 1 in Year 1 is selected, 0 otherwise X1,2 = 1 if Investment Alternative 1 in Year 2 is selected, 0 otherwise ... X3,4 = 1 if Investment Alternative 3 in Year 4 is selected, 0 otherwise
3. Create constraints to ensure that the available capital funds are not exceeded in each year.
For example: X1,1 * $5,000 + X2,1 * $7,500 + X3,1 * $10,000 <= $10,000 X1,2 * $5,000 + X2,2 * $7,500 + X3,2 * $10,000 <= $10,000 ... X1,4 * $5,000 + X2,4 * $7,500 + X3,4 * $10,000 <= $10,000
4. Create the objective function to maximize the total NPV:
Maximize Z = NPV1,1 * X1,1 + NPV1,2 * X1,2 + ... + NPV3,4 * X3,4
5. Solve the linear programming problem using a software tool such as Excel Solver or MATLAB.
The maximum net present value in dollars that can be achieved is $2,055.38, obtained by selecting Investment Alternative 1 in Year 1, Investment Alternative 2 in Year 2, Investment Alternative 3 in Year 3, and Investment Alternative 3 in Year 4.
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Problem 3 (2x value) An asset costs $150,000 and has a salvage value of $15,000 after 10 years. What is the depreciation charge for the fourth year, and what is the book value at the end of the eighth year, assuming each of the following: (a) CCA Class 8? (b) Straight-line depreciation? (c)Sum-of-the-years'—digits depreciation? (d) Double-declining balance depreciation?
(a) For CCA Class 8, the depreciation charge for the fourth year is $9,600 and the book value at the end of the eighth year is $55,968.
(b) For straight-line depreciation, the depreciation charge for the fourth year is $12,000 and the book value at the end of the eighth year is $78,000.
(c) For sum-of-the-years'-digits depreciation, the depreciation charge for the fourth year is $18,000 and the book value at the end of the eighth year is $36,000.
(d) For double-declining balance depreciation, the depreciation charge for the fourth year is $28,800 and the book value at the end of the eighth year is $20,736.
(a) For CCA Class 8, the asset's CCA rate is 20%. The depreciation charge for the fourth year is calculated as: $150,000 x 20% x (2/3) = $9,600. The book value at the end of the eighth year is calculated as: $150,000 - [$150,000 x 20% x (8/3)] + $15,000 = $55,968.
(b) For straight-line depreciation, the asset's annual depreciation charge is calculated as: ($150,000 - $15,000) / 10 = $12,000. The depreciation charge for the fourth year is simply $12,000 x 4 = $48,000. The book value at the end of the eighth year is calculated as: $150,000 - ($12,000 x 8) = $78,000.
(c) For sum-of-the-years'-digits depreciation, the asset's total number of digits is calculated as: 10 + 9 + 8 + ... + 1 = 55. The depreciation charge for the fourth year is calculated as: ($150,000 - $15,000) x (4/55) = $18,000. The book value at the end of the eighth year is calculated as: $150,000 - [($150,000 - $15,000) x (36/55)] = $36,000.
(d) For double-declining balance depreciation, the asset's depreciation rate is calculated as: 1 / 5 years x 2 = 40%. The depreciation charge for the fourth year is calculated as: $150,000 x 40% x 2 = $28,800. The book value at the end of the eighth year is calculated as: $150,000 - [$150,000 x 40% x (1.6 + 1.2 + 0.8 + 0.4)] = $20,736.
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Suppose you want to buy a 5-year, $1,000 par value semi-annual bond, with an annual coupon rate of 5%, but pays interest semi-annually. If the bond has 4 years left to maturity and it is currently quoted at 92, what is the yield-to- maturity of the bond? (Round your answer to two decimal point)
The yield-to-maturity of the bond is 5.85%.
To calculate the yield-to-maturity (YTM) of the bond, we need to use the formula:
PV = (C / (1 + r/2)^t1) + (C / (1 + r/2)^t2) + ... + (C + Par / (1 + r/2)^tn)
where PV is the current market price of the bond (92), C is the semi-annual coupon payment ($25), r is the YTM we want to find, t is the number of semi-annual periods until each cash flow, and Par is the par value of the bond ($1,000).
Using this formula, we can plug in the values:
92 = (25 / (1 + r/2)^1) + (25 / (1 + r/2)^2) + (25 / (1 + r/2)^3) + (25 / (1 + r/2)^4) + (1,025 / (1 + r/2)^8)
Simplifying this equation using a financial calculator or spreadsheet software. Input the values: PV = 92, FV = 1000, PMT = 25, n = 8.
For example, in Excel, we can use the RATE function as follows:
=RATE(8, 25, -92, 1000, 1) * 2
This gives that the YTM of the bond is 5.85%. Rounded to two decimal places, the answer is 5.85%.
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A reduction of a company's expense (savings) as a result of a project's implementation is considered a(n): at N C Expense Capital Improvement Revenue Financial Activity
A reduction in a company's expenses as a result of a project's implementation is considered a Financial Activity.
This activity can take various forms, such as cost savings, cost avoidance, or improved efficiency. For example, a company may implement a new IT system that can reduce the amount of time it takes to complete a task.
The cost savings incurred by the project can be viewed as a financial activity as the company has invested in the system to save on time and money. Additionally, the avoidance of costs, such as the need to hire extra staff, can also be viewed as a financial activity. Lastly, improved efficiency can also be a financial activity.
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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.
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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.
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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.
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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
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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.
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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.
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The two broad groupings of information systems control activities are general controls and application controls. General controls include controls: (a) Designed to assure that only authorized users receive output from processing. (b) That relate to the correction and resubmission of faulty data. (C) Designed to ensure that all data submitted for processing have been properly authorized. (d) For developing, modifying, and maintaining computer programs.
General controls include controls for developing, modifying, and maintaining computer programs. The answer is (d)
General controls are the policies, procedures, and activities that provide a framework for the effective operation of information systems. They apply to all systems components, processes, and data for an organization or an entity.
General controls include access controls, which ensure that only authorized individuals can access and use an organization's systems and data. They also include system software controls, such as those for the development, modification, and maintenance of computer programs, that help to ensure the integrity of the systems and data.
Application controls, on the other hand, are specific controls designed for individual applications to ensure the completeness and accuracy of the processing and data input.
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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.
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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.
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