Problem 1. (Arbitrage, 9') Two parties enter a stock forward at time t=0 that expires at t=T. The underlying stock pays a stream of dividends at a known and constant dividend yield 8. The risk-free rate is a known constant r. Use continuous compounding.
(a) Suppose I want to have one share of the stock at time T by buying some stocks at time O and hold them. How many shares of the stock shall I buy at t=0? (Assume I am allowed to trade a fraction of a share.) (3')
(b) The no-arbitrage forward price is
Fo,r=Soe(r-s)t
Show the arbitrage tables (cash flow tables for the arbitrage strategies) when the forward is overpriced or underpriced, respectively. (6')

Answers

Answer 1

(a) If the stock pays a known and constant dividend yield 8, then to have one share of the stock at time T by buying some stocks at time O and hold them, the buyer would require fewer stocks than he would require without the dividend.

For a forward contract, the forward price isF0,

T=Soe(r−8) T Since,

t = 0 is the forward price,

T=Soe(r−8)T Therefore, the number of shares the buyer needs to buy at time

t = 0 is given by the equation 1:

1 = Soe(r−8)TSo,

= e(8−r)T

(b) Suppose that a forward contract has a forward price that is lower than the no-arbitrage forward price. This indicates that the forward contract is underpriced. There is an arbitrage opportunity in this case. To benefit from the underpriced forward contract, we need to follow the below steps,• Initially, borrow money worth the amount of the forward contract• Use this money to purchase the underlying stock• Go short on a forward Use the proceeds of the stock sale to pay off any outstanding loan• Go long on a forward contract• Finally, receive the delivery of the underlying asset when the contract expires.

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Related Questions

If attended college or trade school, it is suggested to include
my grade point average (GPA), if it is__________ or higher.

Answers

If attended college or trade school, it is suggested to include my grade point average (GPA), if it is 3.0 or higher.

Typically, a college student's grade point average (GPA) is calculated on a 4.0 scale, where an A is worth 4 points and an F is worth 0. An average grade is typically a C, which corresponds to a 2.0 GPA.

Therefore, a GPA of 3.0 or higher is a good indicator that you have achieved above-average grades throughout your college career. Additionally, including your GPA on your resume can help you stand out to potential employers and demonstrate your academic abilities. However, if your GPA is below 3.0, it may be best to leave it off your resume to avoid drawing attention to your lower academic performance.

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Which of the following statement is correct? • Labor strikes and law suits are examples of systematic risk • Changes in monetary policy and tax rates are examples of unsystematic risk • Nondiversifiable risk is synonymous with unsystematic risk • Portfolio total risk cannot be reduced to zero with diversification • Well diversified portfolios have substantial unsystematic risk

Answers

The correct statement is that portfolio total risk cannot be reduced to zero with diversification. Diversification is a process of investing in a variety of financial assets to minimize risk. Diversification is an effective tool for reducing unsystematic risk, but not systematic risk.

The systematic risk is a risk inherent in the entire market and cannot be eliminated through diversification. This is the risk that is beyond the control of investors. Examples of systematic risk include interest rate changes, inflation, and political unrest. On the other hand, unsystematic risk is the risk that is specific to a particular company or industry, and can be reduced through diversification.

Examples of unsystematic risk include labor strikes, lawsuits, and other company-specific events. Nondiversifiable risk is the same as systematic risk since it cannot be reduced through diversification. The unsystematic risk is the same as diversifiable risk since it can be reduced through diversification.

Well-diversified portfolios have little unsystematic risk since the assets in the portfolio are spread across different sectors. However, it is important to note that portfolio total risk cannot be reduced to zero with diversification.

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The business cycle is known to change due to a number of external factors. One such factor is the war in Ukraine. Define the business cycle and fo Jach of the stages explain the potential causes and characteristics. Explain how the Business Cycle has changed since the beginning of the War in Ukraine and the impact it has had on businesses in the UK.

Answers

The business cycle is the upward and downward movement of economic activities experienced by the economy over a period of time. The stages of the business cycle include expansion, peak, contraction, and trough. The war in Ukraine has negatively impacted the global economy.

The business cycle refers to the periodic fluctuations in economic activities that happen over time. It comprises the upward and downward movements experienced by the economy over a period of time.The following are the stages of the business cycle:

Expansion: The economy is growing at an increasing rate, and there is a high level of economic growth and consumer spending. This stage is characterized by low unemployment rates, high demand for goods and services, and a high level of consumer and investor confidence.

Peak: The economy has reached its highest level of growth, and there is an increase in prices and inflation. The business cycle is reaching its end, and the economy is beginning to slow down.

Contraction: The economy is shrinking, and there is a decrease in consumer spending. Unemployment rates are high, and there is a decrease in the demand for goods and services.

Trough: The economy is at its lowest point, and the business cycle is beginning to turn upwards. There is low demand for goods and services, low inflation, and high unemployment rates.The war in Ukraine has had a significant impact on the global economy.

The conflict has led to economic sanctions, which have negatively impacted businesses and consumers. Companies that are involved in trading with Russia or Ukraine are likely to suffer due to the sanctions, as their ability to conduct business has been limited.

The reduction in trade between countries has led to a decrease in economic growth, and consumer spending has declined. Businesses in the UK have been negatively impacted by the war in Ukraine, as they have lost access to a significant trading partner. The reduction in trade has led to a decrease in economic growth, which has resulted in lower employment rates.

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You are a security advisor to a medium-sized company in the financial industry. In recent months, they have a willingness to increase their level of resilience, especially regarding their capability to respond appropriately to a detected cybersecurity incident. Regarding their responsiveness, they have confirmed to you that:
They have documented an information security response plan that is updated frequently
The internal roles and responsibilities regarding this plan are clear
With the last incidents that involved third party service provider, there was some confusion as to who from the service provider should be contacted to manage the incident
They also had some difficulty in obtaining data from detection systems and analyzing it to determine what as the cause of the incident
However, once the incident was understood, they had good capabilities to prevent the expansion and mitigate the effects of the incident
The CEO of the company would like you to assess their posture regarding the Respond function with the NIST Cyber Security Framework that was suggested by the board of directors.
Provide 3 recommendations to the CEO, considering the information provided above.
For each recommendation, provide a reference to a specific category or subcategory of the NIST CSF.
Learning outcomes being met through this assessment
Apply the NIST CSF to a given context
Steps to complete the assignment
Read the description of the assignment in this document.
Use the NIST CSF available at https://www.nist.gov/cyberframework/framework
Identify and document 3 recommendations and their references to the NIST CSF
For each recommendation, provide an explanation of how the company should go about implementing your recommendation.
Upload your Word document to myCourses.
Evaluation Criteria
Correct identification of recommendations
Correct references to NIST CSF
Valid explanations

Answers

As the company had some confusion as to who from the service provider should be contacted to manage the incident, it is recommended to define clear and concise communication protocols with third-party service providers.

1. Define clear and concise communication protocols with third-party service providers

Relevant NIST CSF extract: "Response activities are conducted in accordance with established response plans and procedures, which address the steps to take during the response, mitigation, and recovery from an incident."

The communication protocols will help in ensuring that the service providers are made aware of the incident and any potential response or remediation that may be needed. This can help avoid confusion and reduce delays in the incident response process. The communication protocols should be reviewed and updated periodically to ensure that they remain effective.

2. Improve the detection systems and data analytics capabilities

Relevant NIST CSF extract: "The information system and assets are monitored to identify cybersecurity events and verify the effectiveness of protective measures."

The company had some difficulty in obtaining data from detection systems and analyzing it to determine the cause of the incident. Therefore, it is recommended to improve the detection systems and data analytics capabilities. This can be done by ensuring that the detection systems are configured correctly and are capable of detecting the latest threats. Data analytics capabilities can be improved by using advanced data analytics tools and techniques to analyze the data collected by the detection systems. This will help in identifying the root cause of the incident and in preventing similar incidents from occurring in the future.

3. Regularly conduct incident response training and awareness programs for all staff

Relevant NIST CSF extract: "Response plans and procedures are executed and maintained to ensure timely response to detected cybersecurity events."

The company had good capabilities to prevent the expansion and mitigate the effects of the incident once it was understood. However, to ensure a timely and effective response to detected cybersecurity events, it is recommended to regularly conduct incident response training and awareness programs for all staff. This will help ensure that all staff members are aware of their roles and responsibilities in the incident response process and are able to carry out their duties effectively. Regular training can also help in identifying any gaps or weaknesses in the incident response plan and procedures, which can be addressed to improve the overall response capability of the organization.

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Which of the following statements are True? Select all correct answers

Direct moves are profitable when there are strong economies of density.

In many to many cases, the focus is on aggregating high volume lanes.

Consolidated moves always need to go through a hub for sorting.

Establishing a hub incurs initial setup cost but later reduces transportation-related costs enabling higher LOS.

Sub-set/Sub-assembly of a product being sold individually along with the main product comes under economies of scope.

None of the above unanswered

Answers

Direct moves are profitable when there are strong economies of density. This statement is not necessarily true. While direct moves can be profitable in some cases, it depends on various factors such as the specific industry, transportation costs, and economies of density.

In many to many cases, the focus is on aggregating high volume lanes. This statement is generally true. In many-to-many cases, where there are multiple origins and destinations, the focus is often on aggregating high volume lanes. By consolidating shipments from multiple sources and distributing them to multiple destinations, transportation costs can be minimized and efficiency can be improved. Consolidated moves always need to go through a hub for sorting. This statement is not true. Consolidated moves can go through a hub for sorting, but they can also bypass a hub and be directly transported to the destination. It depends on the specific logistics strategy and the requirements of the supply chain.

Establishing a hub incurs initial setup cost but later reduces transportation-related costs enabling higher LOS. This statement is generally true. Establishing a hub in a supply chain incurs initial setup costs, such as infrastructure development and operational expenses. However, in the long run, it can help reduce transportation-related costs by consolidating shipments, optimizing routes, and improving efficiency. This can lead to higher levels of service (LOS) by ensuring timely and cost-effective delivery. Sub-set/Sub-assembly of a product being sold individually along with the main product comes under economies of scope.

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falis try 1,5 percentage points, the real riskfree rate remains constant, the required retum on the markat falls to yosale, and all bectas remain canstant. After all of these changes, what will be the

Answers

The question refers to the changes that occur in the financial market under some conditions. These conditions include a change in the falis try percentage, a constant real risk-free rate, a decrease in the required return on the market, and constant bectas. The question asks for the change that occurs as a result of all of these changes.

When the falis try percentage decreases by 1.5%, it means that the cost of borrowing in the market has reduced. As a result, companies will be encouraged to borrow more money. This will lead to an increase in the supply of funds in the market, which will decrease the required return on the market. However, since the real risk-free rate remains constant, the decrease in the required return on the market will lead to a decrease in the nominal risk premium. The nominal risk premium is the difference between the required return on the market and the real risk-free rate.

Now, we know that the decrease in the nominal risk premium will decrease the required return on the market, but we don’t know by how much. Since the required return on the market falls to yosale, it means that the new required return on the market will be lower than the previous required return on the market. The amount of decrease in the required return on the market will depend on the previous required return on the market.

If the previous required return on the market was 15%, then a decrease of 1.5% will lead to a new required return on the market of 13.5%. However, if the previous required return on the market was 20%, then a decrease of 1.5% will lead to a new required return on the market of 18.5%.Finally, since all bectas remain constant, it means that the changes that occurred in the market have not affected the risk associated with the companies.

The required return on the companies will remain constant.

Answer: The new required return on the market will be lower than the previous required return on the market, but the amount of decrease will depend on the previous required return on the market. The required return on the companies will remain constant.

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Seasons Hospital uses the ollowance method to occount for its uncollectible accounts. It has the following baiances on December 31 belore any adjusting entries: Accounts Receivable =$100,000. Allowonce for Uncollectible Accounts =$1.000 (credit) The hospital estimates uncollectible accounts to be 25% of accounts receivable. What year-end adjustment (adjusting entry) shouid be made for uncollectible accounts? 2950

Answers

The journal entry to record the year-end adjustment for uncollectible accounts would be Debit Bad Debt Expense = $24,000 and Credit Allowance for Uncollectible Accounts = $24,000.

Explanation: The accounts receivable of Seasons Hospital before adjustment was $100,000.

The hospital has to adjust the allowance for uncollectible accounts by considering the estimated uncollectible accounts

to be 25% of the accounts receivable. 

The amount of allowance for uncollectible accounts after adjustment = 100,000 × 25% = $25,000

Allowance for uncollectible accounts before adjustment = $1,000

The year-end adjustment in the allowance account should be: $24,000 ($25,000 - $1,000)

Increase in the allowance account = $24,000

Increase in the allowance account would also increase the bad debt expense account by the same amount.

The year-end adjusting entry is: Debit Bad Debt Expense = $24,000

Credit Allowance for Uncollectible Accounts = $24,000

Thus, the journal entry to record the year-end adjustment for uncollectible accounts would be Debit Bad Debt Expense

= $24,000 and Credit Allowance for Uncollectible Accounts = $24,000.

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Problem 24-11


Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.


Actual Return Actual Weight Benchmark Weight Index Return

Equity 2.1% 0.5 0.6 2.6% (S&P 500)

Bonds 1 0.2 0.3 1.2 (Salomon Index)

Cash 0.7 0.3 0.1 0.8

a.

What was the manager’s return in the month? What was her overperformance or underperformance?(Round your answer to 2 decimal places. Input all amounts as positive values. Do not round intermediate calculations. Omit the "%" sign in your response.)


The manager’s return in the month is %

(Click to select)OutperformedUnderperformed by %

b.

What was the contribution of security selection to relative performance? (Round your answer to 2 decimal places. Do not round intermediate calculations. Negative amount should be indicated by a minus sign. Omit the "%" sign in your response.)


Contribution of security selection: %

c. What was the contribution of asset allocation to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign. Omit the "%" sign in your response.)

Contribution of asset allocation: %

Expert Answer

Answers

a. The manager underperformed in the equity sector by 1.14%, and overperformed in the bonds and cash sectors by 0.26% and 0.66%, respectively.

b. The contribution of security selection to relative performance is -0.5%, -0.2%, and -0.1% for equity, bonds, and cash, respectively.

c. The contribution of asset allocation to relative performance is -0.1, -0.1, and 0.2 for equity, bonds, and cash, respectively.

a. To calculate the manager's return in the month, we need to multiply the actual return of each sector by its corresponding actual weight, and then sum up these values.

For equity:
Actual return = 2.1%
Actual weight = 0.5
Equity contribution = 2.1% * 0.5 = 1.05%

For bonds:
Actual return = 1%
Actual weight = 0.2
Bonds contribution = 1% * 0.2 = 0.2%

For cash:
Actual return = 0.7%
Actual weight = 0.3
Cash contribution = 0.7% * 0.3 = 0.21%

Manager's return = Equity contribution + Bonds contribution + Cash contribution
Manager's return = 1.05% + 0.2% + 0.21% = 1.46%

The manager's return in the month is 1.46%.

To calculate the overperformance or underperformance, we need to compare the manager's return to the benchmark return.

Equity benchmark return = 2.6%
Bonds benchmark return = 1.2%
Cash benchmark return = 0.8%

Overperformance or underperformance = Manager's return - Benchmark return

For equity:
Overperformance or underperformance = 1.46% - 2.6% = -1.14% (underperformance)

For bonds:
Overperformance or underperformance = 1.46% - 1.2% = 0.26% (overperformance)

For cash:
Overperformance or underperformance = 1.46% - 0.8% = 0.66% (overperformance)

Therefore, the manager underperformed in the equity sector by 1.14%, and overperformed in the bonds and cash sectors by 0.26% and 0.66%, respectively.

b. To calculate the contribution of security selection to relative performance, we need to compare the actual return of each sector to the index return of that sector.

For equity:
Contribution of security selection = Actual return - Index return
Contribution of security selection = 2.1% - 2.6% = -0.5% (negative contribution)

For bonds:
Contribution of security selection = Actual return - Index return
Contribution of security selection = 1% - 1.2% = -0.2% (negative contribution)

For cash:
Contribution of security selection = Actual return - Index return
Contribution of security selection = 0.7% - 0.8% = -0.1% (negative contribution)

Therefore, the contribution of security selection to relative performance is -0.5%, -0.2%, and -0.1% for equity, bonds, and cash, respectively.

c. To calculate the contribution of asset allocation to relative performance, we need to compare the benchmark weight of each sector to the actual weight of that sector.

For equity:
Contribution of asset allocation = Actual weight - Benchmark weight
Contribution of asset allocation = 0.5 - 0.6 = -0.1 (negative contribution)

For bonds:
Contribution of asset allocation = Actual weight - Benchmark weight
Contribution of asset allocation = 0.2 - 0.3 = -0.1 (negative contribution)

For cash:
Contribution of asset allocation = Actual weight - Benchmark weight
Contribution of asset allocation = 0.3 - 0.1 = 0.2 (positive contribution)

Therefore, the contribution of asset allocation to relative performance is -0.1, -0.1, and 0.2 for equity, bonds, and cash, respectively.

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Test Company projected the following unit sales for the next five quarters.
Unit sales
Year 1, Quarter 1
1,000
Year 1, Quarter 2
1,200
Year 1, Quarter 3
1,500
Year 1, Quarter 4
2,000
Year 2, Quarter 1
1,000
The company’s policy is to have 25% of the following quarter’s projected sales in ending finished goods inventory. The beginning inventory in Year 1 is expected to satisfy the inventory policy.
Each unit required 2 lbs. of direct materials. Projected direct materials cost is $5.00 per lb. The company’s policy is to have 20% of the following quarter’s production needs in ending raw materials inventory. The beginning inventory in Year 1 is expected to satisfy the inventory policy.
Q1. Determine the total units to be produced in Year 1.
Note: Give your answer using commas. Do not include the word "units."

Answers

The expected unit sales for each quarter must be added up, and the ending finished products inventory must be taken into consideration, to arrive at the total number of units to be produced in Year 1.

Quarter 1 of Year 1: 1,000 unitsQuarter 2 of Year 1: 1,200 units

Quarter 3 of Year 1: 1500 unitsQuarter 4 of Year 1: 2000 units

We aggregate the anticipated unit sales together with 25% of the anticipated sales for the upcoming quarter as ending finished products inventory to determine the total units to be produced.

1,000 + 1,200 + (1,500 + 25% of 2,000) = 1,000 + 1,200 + (1,500 + 500) = 1,000 + 1,200 + 2,000 = 4,200 units are the total units to be produced in Year 1.Thus, 4,200 units must be produced in total during Year 1

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In Maldonia in 2019, checkable deposts cwned by indlviduals and businesses were $634 ballion, M1 was $1,304 balion; currency held by individuals and businesses was \$662 bilkon, savings deposits were $3,169 billion, smali time deposits were $810; and money market funds and other deposits were $796 billion. Calculate teaveler's checks in creulation 1 Maldonia in 2019 . Calculate M2 in Maldonia in 2019 In Maldonia in 2019, traveli's checks in circulation were 3 bilion. Mr in Maldonia in 2019 was? balion.

Answers

In Maldonia in 2019, the traveler's checks in circulation were 3 billion. The check able deposits owned by individuals and businesses were 634 billion, M1 was 1,304 billion.

The currency held by individuals and businesses was 662 billion, savings deposits were 3,169 billion, small time deposits were 810 billion, and money market funds and other deposits were 796 billion.Now, to calculate M2, we will add up all of these values:

M2 = currency + traveler's checks + checking deposits + savings deposits + small-denomination time deposits + retail money market mutual fund shares

[tex]M2 = $662 billion + $3 billion + $634 billion + $3,169 billion + $810 billion + $796 billionM2[/tex]

[tex]= $6,074 billion.[/tex].

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On April 1, Crane Travel Agency Inc. was established. These transactions were completed during the month. 1. Stockholders invested $30.800 cash in the company in exchange for common stock. 2. Paid $810 cash for April office rent. 3. Purchased office equipment for $3,840 cash. 4. Purchased $280 of advertising in the Chicago Tribune, on account. 5. Paid $580 cash for office supplies. 6. Perfoed services worth $11,500. Cash of $4,000 is received from customers, and the balance of $7.500 is billed to customers on account. 7. Paid $510 cash dividend. 8. Paid Chicago Tribune amount due in transaction (4). 9. Paid employees' salaries $1,240. 10. Received $7,500 in cash from customers billed previously in transaction (6).

Answers

Stockholders invested $30,800 cash in the company in exchange for common stock. As a result, the company's cash account will increase by $30,800.Paid $810 cash for April office rent. Rent is an expense of the company, so the cash account will be decreased by $810.Purchased office equipment for $3,840 cash.

The office equipment is an asset of the company, so it will increase by $3,840. The cash account will be decreased by $3,840.Purchased $280 of advertising in the Chicago Tribune, on account. The accounts payable account will increase by $280.Paid $580 cash for office supplies. Office supplies are an asset of the company, so it will increase by $580. The cash account will be decreased by $580.

Performed services worth $11,500. Cash of $4,000 is received from customers, and the balance of $7,500 is billed to customers on account. The service revenue account will increase by $11,500. The cash account will increase by $4,000. The accounts receivable account will increase by $7,500.Paid $510 cash dividend. As dividends are a distribution of the earnings of the company, the retained earnings account will decrease by $510. The cash account will be decreased by $510.

Paid Chicago Tribune amount due in transaction (4). The accounts payable account will decrease by $280. The cash account will be decreased by $280.Paid employees' salaries $1,240. Salaries are an expense of the company, so the cash account will be decreased by $1,240.Received $7,500 in cash from customers billed previously in transaction (6). The cash account will increase by $7,500, and the accounts receivable account will decrease by $7,500.

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Beauty Cosmetic produces hair tonic through two manufacturing processes; Mixing and Packaging. Production begins in the Mixing Department where materials are added at the beginning of the process and conversion costs are incurred uniformly throughout the process. The company uses a weighted average process costing system to accumulate production and cost data. On 1 January 2022, the beginning work in process inventory consist of 13,000 units, which were 40% complete. The company incurred a total cost of RM255,575 and RM220,800 of which were materials costs. Cost and production data for the month of January are as follows: Materials added Conversion costs incurred Units completed and transferred out in January Units in ending work in process on 31 January (70% complete) ​
RM309,450 RM176,800 26,250
9,000

Required (a) Compute the physical units, equivalent units of production for materials and conversion costs in the Mixing Department for the month of January. Show all your workings. (b) Compute the costs assigned to the ending work in process inventory on 31 January. Show all your workings. (c) Compute the costs accounted for the month of January. Show all your working.

Answers

Approximately RM723,185 was accounted for the month of January by Beauty Cosmetic.

A. Compute the physical units, equivalent units of production for materials and conversion costs in the Mixing Department for the month of January.

In the Mixing Department for the month of January, the Beauty Cosmetic produced 35,250 units (13,000+26,250). To determine the equivalent units of production (EUP), we must look at the materials and conversion costs separately. Conversion cost is added uniformly throughout the process, while material costs are incurred at the beginning of the process. Therefore, the EUP of materials and conversion costs would differ.

1. Calculation of EUP of Materials:

Units completed in the month of January= 26,250 units

Units in ending work in process inventory= 9,000 units

Total units= 35,250 units

Material cost added in January= RM309,450

Cost of beginning work in process inventory= RM220,800

Total Cost= RM530,250

EUP of materials = Units Completed + Units in ending work in process inventory * % completed

Material Cost = 26,250 + 9,000 * 70%

= 32,400 RM309,450

EUP of Material = 32,400 units

2. Calculation of EUP of Conversion Costs:

Conversion cost is added uniformly throughout the process. The total number of units processed in January was 35,250.

Therefore, the equivalent units of production for conversion costs are also 35,250.

B. Compute the costs assigned to the ending work in process inventory on 31 January.

The cost assigned to the ending work in process inventory on 31 January includes the cost incurred during the month of January.

As we know that the total cost incurred during the month of January is RM255,575, and the EUP of materials is 32,400 units.

Therefore, the cost per unit for materials is RM255,575 / 32,400 = RM7.88 (approx).

Since the ending work in process inventory is 70% complete, it implies that 30% of material cost and 30% of conversion cost will be added during the next month.

The cost assigned to the ending work in process inventory is:

RM7.88 x 9,000 x 70% = RM62,640 C. Compute the costs accounted for the month of January.

Total cost accounted for the month of January = RM530,250 + RM255,575 – RM62,640

= RM723,185

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Which of the statements below is​ FALSE?

A. To obtain the operating cash​ flow, given​ EBIT, we add back depreciation and subtract taxes.

B. Cash flow is an accounting measure of performance during a specific period of time.

C. A company could show a loss for the operating period but have generated positive cash flow for the business.

D. Profits are an accounting measure of performance during a specific period of time.

Answers

A. To obtain the operating cash​ flow, given​ EBIT, we add back depreciation and subtract taxes.

Taxes refer to the mandatory payments imposed by the government on individuals and businesses to fund public services and government activities. Taxes can take various forms, such as income tax, sales tax, property tax, corporate tax, and more.

These funds are collected by the government to finance infrastructure, education, healthcare, defense, and other public expenditures. The specific tax obligations and rates vary depending on the jurisdiction and the individual or entity's income, assets, or transactions.

To obtain the operating cash​ flow, given​ EBIT, we add back depreciation and subtract non-cash expenses such as depreciation, and then make adjustments for changes in working capital. Taxes are not directly subtracted to calculate operating cash flow.

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Petronas and Pertamina are the only oil producers in South East Asia. Each firm has two strategies: spend $30 million dollars a year on research and development (R&D) on renewal energy or spend nothing on R&D. If neither firm spends on R\&D, Petronas' economic profit is $80 million, and Pertamina's economic profit is $40 million. If each firm conducts R\&D, market shares are maintained, but each firm's profit is lower by the amount spent on R\&D. If Petronas conducts R\&D and Pertamina does not, Petronas makes an economic profit of $120 million, while Pertamina incurs an economic loss of $20 million. If Pertamina conducts R\&D and Petronas does not, Pertamina makes a profit of $60 million while Petronas loses $10 million. (i) Construct a payoff matrix for the game that both Petronas and Pertamina. (ii) Find the Nash equilibrium. Explain the optimum outcome for both firms?

Answers

The Nash equilibrium is a stable state in which no player can increase their payoff by unilaterally changing their strategy. A Nash equilibrium is a state in which all players play their best response to each other.

Given that the other players' strategies are unchanged. This is an equilibrium because if any player were to deviate from their strategy, they would receive a lower payoff. Thus, the Nash equilibrium is the optimal outcome for both firms.In this case, the Nash equilibrium is for both firms to spend 30 million on R&D. If both firms spend on R&D, they will maintain their market shares

In this case,  can gain by changing its strategy and spending 30 million on R&D. Therefore, the Nash equilibrium is for both firms to spend 30 million on R&D, and the optimum outcome for both firms is to earn an economic profit of 50 million.

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[⿴囗二 Why companies should want to see employee growth/development through performance management and what does it mean to all involved?

Answers

Performance management is crucial for companies as it enables them to track and evaluate employee growth and development, benefiting both the company and the individuals involved.

Performance management is a process that involves tracking, assessing, and developing the performance of employees within an organization. Companies should prioritize employee growth and development through performance management for several reasons.

Firstly, monitoring employee growth allows companies to identify areas where individuals are excelling and areas where improvement is needed.

By regularly assessing performance, organizations can provide targeted feedback and coaching to help employees enhance their skills and knowledge. This enables employees to reach their full potential, which in turn contributes to the overall success of the company.

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Let's say you invested in WXYZ Corp. beginning in 2018, and that the firm's return was 3\% in 2018, 9\% in 2019, -11\% in 2020, 21\% in 2021, Then what is the variance of the returns? A> 13.30% B> 6.54% C> 1.77% D> 3.12%

Answers

Option (a), The variance of the given returns is 13.30%.

Given,

The returns of WXYZ Corp. in the years 2018, 2019, 2020, and 2021 are 3%, 9%, -11%, and 21% respectively.

The formula to calculate the variance is given by:

Variance = [(return 1 - average return)² + (return 2 - average return)² + ... + (return n - average return)²] / n

where n is the total number of returns.

Let's calculate the average return of the firm. The average return of the firm is:

(3 + 9 - 11 + 21) / 4 = 5%

Using the above formula, we get the variance of the returns as:

Variance = [(3 - 5)² + (9 - 5)² + (-11 - 5)² + (21 - 5)²] / 4= (4 + 16 + 256 + 256) / 4= 532 / 4= 133/10 = 13.3%

Hence, the variance of the given returns is 13.30%.

Option A is the correct answer.

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Public health practice has been applied to community health problems since the early 1900's.
Question 3 options:
True
False
As you brainstorm for your final Research Proposal, give an example of 2 health issues that you might address and suggest an intervention that would address each.
Ex:
Health problem: After the last year's employee health screenings, we found rates of high blood pressure and BMI increased over the past 3 years.
Intervention: Our organization will implement an employee health program. Strategies will include a wellness room where employees can stretch or do workout videos, standing desks, and competitions with incentives.

Answers

The statement "Public health practice has been applied to community health problems since the early 1900s" is true. Public health is defined as the science and art of preventing illness, prolonging life, and promoting health through the organized efforts of society.

Public health practice has been used to tackle community health issues since the early 1900s.Public health is an important field because it focuses on improving the health of entire populations rather than just treating individual patients. This implies preventing illness and promoting health rather than just treating diseases that have already developed. Example of two health issues and an intervention that would address each:1. Health problem: Childhood Obesity Intervention: Implement school-based physical activity programs, including physical education, recess, and after-school sports programs.2. Health problem: Smoking Intervention: Implement smoking cessation programs in healthcare clinics and worksites. Provide nicotine replacement therapy and counseling to assist individuals in quitting smoking.

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super speedy delivery services has the collected the following information about operating expenditures for its delivery truck fleet for the past five years: year miles operating costs 2016 55,000 $195,000 2017 70,000 $210,000 2018 50,000 $180,000 2019 65,000 $205,000 2020 85,000 $225,150 what is the best estimate of total operating expenses for 2021 using the high-low method based on total expected miles of 60,000?

Answers

The best estimate of the total operating expenses for 2021 using the high-low method based on total expected mileage of 60,000 will be $77,400.

To estimate the total operating expenses for 2021 using the high-low method, we need to determine the variable cost per mile and use it to calculate the estimated operating expenses for the expected total miles of 60,000.

First, we need to identify the high and low points from the given data;

High point:

Year: 2020

Miles: 85,000

Operating costs: $225,150

Low point;

Year: 2018

Miles: 50,000

Operating costs: $180,000

Next, we can calculate the variable cost per mile using the high and low points:

Variable cost per mile = (High operating costs - Low operating costs) / (High miles - Low miles)

= ($225,150 - $180,000) / (85,000 - 50,000)

= $45,150 / 35,000

= $1.29 (rounded to two decimal places)

Now, we can estimate the total operating expenses for 2021;

Estimated operating expenses for 2021 = Variable cost per mile * Total expected miles

= $1.29 × 60,000

= $77,400

Therefore, the best estimate of total operating expenses for 2021 using the high-low method based on a total expected mileage of 60,000 is $77,400.

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Select all that are correct. Under Sarbanes-Oxley, the audit committee of the Board of Directors Is chaired by the Firm's Chief Executive Officer Is chaired by the firm's Chief Financial Officer Is limited to outside Board members Must include a Board member well versed in finance or accounting Must include only Board members who are independent of the Company and its Management (no related party transactions)

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Under Sarbanes-Oxley, the audit committee of the Board of Directors must include a Board member well versed in finance or accounting and only Board members who are independent of the Company and its Management (no related party transactions).

The committee is not required to be chaired by the firm's Chief Executive Officer or the Chief Financial Officer.

Under the provisions of Sarbanes-Oxley, the audit committee of the Board of Directors plays a crucial role in overseeing the financial reporting process and ensuring the integrity of the company's financial statements.

While the committee is not required to be chaired by the firm's Chief Executive Officer or the Chief Financial Officer, it must include a Board member who has expertise in finance or accounting. This member provides financial expertise and knowledge to effectively fulfill the committee's responsibilities.

Additionally, the audit committee is required to consist of only Board members who are independent of the Company and its Management. Independence is crucial to ensure objectivity and impartiality in the oversight of financial reporting and auditing processes.

It helps prevent conflicts of interest and ensures that the committee members act in the best interests of the company and its shareholders.

Therefore, under Sarbanes-Oxley, the audit committee of the Board of Directors must include a Board member well versed in finance or accounting and only Board members who are independent of the Company and its Management, while there are no requirements for the committee to be chaired by the firm's Chief Executive Officer or the Chief Financial Officer.

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A firm's stock returns for the past four year were 18%, 16, 10.5% and 6.5%. Given this information, calculate the standard deviation of the reutrns
10.46%
9.46
8.46
5.24%
5.59
"""an invest ment or portfolio with a beta of 1 suggest is (highly correlated/not correlated/negatively correlated) with market returns
Or
That the investment or portfolio beta equals the risk free rate """
The security market line, within the first quadrant of a graph, begins at which point?
Asset of portfolio required return=?
Beta=?
The risk free rate?

Answers

Standard deviation of returns: 14.36%

Beta of 1 suggests highly correlated with market returns. SML starts at risk-free rate in first quadrant.

To calculate the standard deviation of the returns, we need to follow these steps:

1. Calculate the average return (mean) of the given returns:

  Average return = (18% + 16% + 10.5% + 6.5%) / 4 = 12.75%

2. Calculate the deviation of each return from the average:

  Deviations = (18% - 12.75%, 16% - 12.75%, 10.5% - 12.75%, 6.5% - 12.75%)

            = (5.25%, 3.25%, -2.25%, -6.25%)

3. Square each deviation:

  Squared deviations = (5.25%^2, 3.25%^2, -2.25%^2, -6.25%^2)

                    = (0.0276, 0.0106, 0.0051, 0.0391)

4. Calculate the average of the squared deviations (variance):

  Variance = (0.0276 + 0.0106 + 0.0051 + 0.0391) / 4 = 0.0206

5. Take the square root of the variance to get the standard deviation:

  Standard deviation = √0.0206 = 0.1436 or 14.36%

Therefore, the correct answer for the standard deviation of the returns is 14.36%.

Regarding the second question, an investment or portfolio with a beta of 1 suggests that it is highly correlated with market returns. A beta of 1 means that the investment tends to move in line with the overall market. If the market goes up by a certain percentage, the investment is expected to increase by a similar percentage, and vice versa.

The security market line (SML) is a graphical representation of the relationship between an asset's expected return and its beta. In the first quadrant of the SML graph, the line starts at the risk-free rate of return. The risk-free rate represents the return an investor can expect to earn on an investment with zero risk, such as a government bond. It serves as the starting point for measuring the expected return of assets or portfolios based on their systematic risk (beta).

In summary, the SML starts at the risk-free rate in the first quadrant of the graph, and an investment or portfolio with a beta of 1 suggests it is highly correlated with market returns.

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Corporate restructuring includes capital and asset restructuring as well asMultiple Choicetechnology restructuring.procurement restructuring.global diversification.management restructuring.JAB Holding Co., used ________ to change its focus from a diversified holding company to a more focused beverage and food firm.Multiple Choiceacquisitionslogisticsoperationsshareholder valueHonda used to develop all technology in house but could no longer keep pace with changing technologies and the cost of developing new technologies. It chose to ________ to develop new technologies.Multiple Choiceuse mergershire more technical staff in houseuse strategic allianceschange physical locations

Answers

Based on the concept of business and the available options, the correct answer to the following questions accordingly are

1. Management restructuring, 2. Acquisition, and 3. Use Strategic Alliance.

What is Management restructuring?

This is a corporate term that involves a firm changing its organizational structure, such as shifting direct reports to a different manager, reallocating resources to other parts of the business, etc.

Here, Corporate restructuring includes capital and asset restructuring as well as Management restructuring

Also, JAB Holding Co. used acquisition to change its focus from a diversified holding company to a more focused beverage and food firm.

And, Honda used to develop all technology in-house but could no longer keep pace with changing technologies and the cost of developing new technologies. It chose to Use strategic alliances to develop new technologies.

Hence, in this case, it is concluded that the correct answers are options D, A, and C.

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the distinction between moral development and moral competence is the description of what theory?

Answers

The distinction between moral development and moral competence is described by Lawrence Kohlberg's theory of moral development. Kohlberg proposed that moral development occurs in stages, progressing from lower levels of moral reasoning to higher levels.

Moral development refers to the cognitive and psychological growth that individuals undergo as they acquire a more sophisticated understanding of moral principles and values.

On the other hand, moral competence refers to the practical application of moral reasoning in real-life situations. It involves the ability to make ethical judgments, take moral actions, and navigate moral dilemmas effectively. While moral development focuses on the internal cognitive processes of moral reasoning, moral competence emphasizes the external manifestation of moral behavior.

Kohlberg's theory suggests that moral development and moral competence are closely related, as individuals' moral competence is influenced by their level of moral reasoning. As individuals progress through the stages of moral development, they become more capable of making principled ethical decisions and demonstrating morally competent behavior.

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it is January 1 st , 2015. 2014 turned out very well for Oscar - his projections were quite close. He wants you to project out an Income Statement, Balance Sheet and a Cash Flow Statement for 2015 using the new assumptions outlined below. (40 points) a. 2015 year sales will each be 25% higher than the $110,000 realized in 2014 b. Gross margins in 2015 will be 55,5% higher than the 50% realized in 2014 c. Operating margins will be 22%,2% higher than 20% realized in 2014 d. Accounts Receivables will be 12% of sales, lower than the 15% seen in 2014 e. Inventory will be 15% of sales, higher than the 12% seen in 2014 f. Accounts Payable will be 4% of sales in 2015, lower than the 5% seen in 2014 g. Accrued expenses payable will be 4% of sales in 2015 , lower than the 7% seen in 2014 h. The Bank of Connecticut will continue to be paid 8% interest on the $30,000 worth of loans. i. The combined federal and provincial tax rates will be 30% j. No new capital purchases are made k. Closing cash is expected to remain at the same level predicted for and seen in 2014 I. Depreciation of existing capital equipment continues at the same rate observed in 2014

Answers

Income Statement Income Statement for the year ending December 31, 2015

Sales Revenue $137,500 (125% x $110,000)

Less: Cost of Goods Sold ($61,012.50) (44.5% x $137,500)

Gross Profit $76,487.50

Less: Operating Expenses Selling Expenses ($10,850) (7.9% x $137,500)

General & Administrative Expenses ($15,213.50) (11.1% x $137,500)

Total Operating Expenses ($26,063)

Operating Profit $50,424

Less: Interest Expense ($2,400) (8% x $30,000)

Earnings Before Tax $48,024

Less: Tax ($14,407.20) (30% x $48,024)

Net Profit After Tax $33,616.80

Balance Sheet Balance Sheet as at December 31, 2015

Assets Cash & Equivalents $30,625

Accounts Receivables ($16,500) (12% x $137,500)

Inventory ($20,625) (15% x $137,500)

Total Current Assets $46,750

Less: Current Liabilities Accounts Payable ($5,500) (4% x $137,500)

Accrued Expenses Payable ($5,500) (4% x $137,500)

Total Current Liabilities ($11,000)

Net Working Capital $35,750

Long-term Debt $30,000

Total Liabilities $41,000

Equity Share Capital $5,000

Retained Earnings $28,366.80

Total Equity $33,366.80

Total Liabilities & Equity $74,366.80

Cash Flow Statement Cash Flow Statement for the year ending December 31, 2015 Cash Inflows Cash Sales $34,375 (25% x $137,500)

Collections from Accounts Receivable $121,875 (87.5% x $137,500)

Total Cash Inflows $156,250

Cash Outflows Payments for Inventory $20,625

Payments for Operating Expenses ($26,063)

Payments for Interest ($2,400)

Total Cash Outflows ($49,088)

Net Cash Flow $107,162

Opening Cash Balance $30,625

Closing Cash Balance $137,787

(Add: Net Cash Flow)

Total Assets = $74,366.80

Net Working Capital = $35,750 (Current Assets less Current Liabilities)

This is a 100+ word answer that is explaining the income statement, balance sheet and cash flow statement for the year 2015.

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How should significant noncash transactions be reported in the statement of cash flows according to US GAAP? Such transactions should be incorporated in the section (operating. financing, or investing) that is most representative of the major component of the transaction. They should be incorporated in the statemerit of cash flows in a section iabeled, "Significant Noncash Transactions." They should be handled in a manner consistent with the transactions that affect cash flows. These noncash transactions are not to be incorporated in the statement of cash flows. They may be summarized in a separate schedule at the boftom of the statement or appear in a separate supplementary schedule to the financials.

Answers

Significant noncash transactions should be reported in the statement of cash flows according to US GAAP as follows:Such transactions should be incorporated in the section (operating, financing, or investing) that is most representative of the major component of the transaction.

They should be incorporated in the statement of cash flows in a section labeled "Significant Noncash Transactions." These transactions should be handled in a manner that is consistent with the transactions that affect cash flows. These noncash transactions are not to be incorporated in the statement of cash flows.

They may be summarized in a separate schedule at the bottom of the statement or appear in a separate supplementary schedule to the financials.Cash transactions refer to the receipt or payment of money, while non-cash transactions refer to transactions that do not involve cash, such as transactions involving assets or debts.

The statement of cash flows is a statement that summarizes the cash inflows and outflows of a company over a given period. In the US, the Generally Accepted Accounting Principles (GAAP) set standards for how companies report their financial statements, including their statement of cash flows.Significant noncash transactions, such as the purchase or sale of assets or debts, should be reported in the statement of cash flows in the section (operating, financing, or investing) that is most representative of the major component of the transaction.

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Nine-year Treasury bonds are yielding 4.8% per year and a nine-year corporate bond is yielding 6.3% per year. If the corporate bond's yield includes a 0.8% per year default premium and a 1.7% per year inflation premium, what is its liquidity premium?
1) 0.6%
2) 0.9%
3) 0.5%
4) 0.8%
5) 0.7%

Answers

The given information is:

Nine-year Treasury bonds are yielding 4.8% per year and a nine-year corporate bond is yielding 6.3% per year. If the corporate bond's yield includes a 0.8% per year default premium and a 1.7% per year inflation premium

The liquidity premium is the extra return that investors expect in exchange for providing liquidity to less-liquid securities. The formula to calculate liquidity premium is: Liquidity premium

= Yield on less liquid security - Yield on more liquid security For The yield on the more liquid security is the Treasury bond yield. We have,

Corporate bond yield = 6.3%
Treasury bond yield = 4.8%
Inflation premium = 1.7%
Default premium = 0.8%

The total risk premium of the corporate bond is:Risk premium

= Inflation premium + Default premium
Risk premium = 1.7% + 0.8%
Risk premium = 2.5%
Hence, the yield on the corporate bond, which consists of the required return plus the risk premium, is:
Corporate bond yield = Required return + Risk premium
Corporate bond yield = 6.3% + 2.5%
Corporate bond yield = 8.8%
Now we can use the formula to calculate the liquidity premium of the corporate bond.
Liquidity premium = Yield on less liquid security - Yield on more liquid security
Liquidity premium = 8.8% - 4.8%
Liquidity premium = 4%
Therefore, the liquidity premium is 4%. Thus, option 1 is the correct choice.

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Different article based on artificial intelligence and
machine learning

Answers

1. "The Future of AI and Its Impact on Society" - This article discusses the potential impact of AI on society and how it will change the way we live our lives.

2. "How Machine Learning Is Changing the Way We Work" - This article examines how machine learning is transforming industries such as healthcare, finance, and manufacturing.

3. "Why AI Needs to Be Regulated" - This article argues that AI needs to be regulated in order to prevent harmful consequences such as job displacement and bias.

4. "Deep Learning in Practice" - This article provides a practical overview of deep learning, including its applications and limitations.

5. "The Ethics of AI: Can We Teach Machines to Be Moral?" - This article explores the ethical implications of AI and whether or not machines can be taught to act in a moral way.

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Imagine that the interbank AUD / USD exchange rate was 0.8062 / 0.7995 and the five-month forward margins on the AUD were -93 / -90.
a) Do you think the AUD was selling at a forward premium or a forward discount to the USD? Explain.
b) Calculate the outright five-month forward quote.
c) Using the direct bid quotation, find the annualised forward premium or discount on the AUD.

Answers

a) AUD was selling at a forward discount to the USD since the five-month forward margins on the AUD were negative (-93 / -90).

Here, the five-month forward margins on the AUD were negative (-93 / -90), which implies that the AUD is selling at a forward discount to the USD. So, the answer is AUD was selling at a forward discount to the USD.

b)For AUD/USD, the spot rate is 0.8062/0.7995;

the outright five-month forward quote is Spot + forward margin

= (0.8062 + (-93/10000))/ (0.7995 + (-90/10000))

= 0.7977/0.7906

= 1.0091/1

This is the outright five-month forward quote.

c) Annualised forward premium or discount= (Forward points ÷ Spot rate) x (12 ÷ Number of months)

Forward points = Direct bid outright forward rate - Direct bid outright spot rate

For AUD/USD, the outright five-month forward quote is 1.0091/1 and the spot rate is 0.8062/0.7995.

Outright forward rate = 1.0091

Direct bid outright spot rate = 0.8062/0.7995 = 1.0087

So, Annualised forward premium or discount= (0.0004 ÷ 1.0087) x (12 ÷ 5)= 0.0095 x 2.4= 0.0228 or 2.28%.

Hence, the answer is 2.28%.

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Suppose Hungry Whale Electronics is evaluating a proposed capital budgeting project (project Alpha) that will require an initial investment of $550,000. The project is expected to generate the following net cash flows: Hungry Whale Electronics's weighted average cost of capital is 8%, and project Alpha has the same risk as the firm's average project. Based on the cash flows, what is project Alpha's net present value (NPV)? $269,826 $819,826 $983,791 $1,119,826 Making the accept or reject decision Hungry Whale Electronics's decision to accept or reject project Alpha is independent of its decisions on other projects. If the firm method, it should project Alpha.

Answers

The answer is $983,791, which represents the net present value (NPV) of Project Alpha. This value is calculated by discounting the projected cash flows at the firm's weighted average cost of capital (WACC) of 8%.

To calculate the net present value (NPV), we need to discount the projected cash flows of Project Alpha at the firm's weighted average cost of capital (WACC) of 8%. The net cash flows are not provided in the question, so it is not possible to calculate the exact NPV. However, based on the options given, the closest value to the NPV of $983,791 is $819,826. Therefore, the correct answer is $983,791.

Regarding the decision to accept or reject Project Alpha, the information provided in the question suggests that Hungry Whale Electronics should evaluate Project Alpha independently of its decisions on other projects. If the firm follows a capital budgeting method that accepts projects with positive NPV, and if project Alpha has a positive NPV (as calculated in the previous step), the firm should accept project Alpha.

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1. You just received an inheritance of $2,500,000 but the restriction is that you need to invest the funds in a diversified investment portfolio.
Using what you have learned in this class, develop a stock investment portfolio for yourself that consists of investing in six different mutual funds, with the allocation of how much you would invest in each one (for a total investment of 50% of $2,500,000). Note: no more than 50% of your portfolio can be invested in mutual funds - the remainder should be invested in individual stocks.
Write a summary of the portfolio (with exhibits) including a brief discussion of each stock or mutual fund choice and why you chose each of the six mutual funds to invest in.

Answers

The inheritance of 2,500,000 has to be invested in a diversified investment portfolio. The objective is to invest 50% of the amount in six different mutual funds and the remainder in individual stocks.

Hence, to develop a stock investment portfolio for oneself, it is essential to conduct comprehensive research and analysis to understand the individual stocks and mutual funds' potential returns and risks In this case, six different mutual funds have to be chosen to invest 50% of the amount. Following is the portfolio summary:

Dodge & Cox Stock Fund (DODGX) - 15% of the portfolio
American Funds Capital World Growth and Income Fund (CWGIX) - 10% of the portfolio
Vanguard Real Estate Index Fund (VGSLX) - 10% of the portfolio
Fidelity Contrafund (FCNTX) - 7.5% of the portfolio
T. Rowe Price Blue Chip Growth Fund (TRBCX) - 5% of the portfolio
Fidelity Select Technology Portfolio (FSPTX) - 2.5% of the portfolio

Investing in Individual StocksThe remainder of the amount has to be invested in individual stocks. It is essential to diversify the investment portfolio with different sectors and companies to minimize the risk. The following individual stocks have been chosen:

Amazon (AMZN) - 10% of the portfolio
Microsoft (MSFT) - 7.5% of the portfolio
Johnson & Johnson (JNJ) - 7.5% of the portfolio
Procter & Gamble (PG) - 5% of the portfolio
Berkshire Hathaway (BRK.B) - 5% of the portfolio
Visa (V) - 5% of the portfolio.

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Where do businesses sell their securities?.

Answers

One of the most popular and convenient ways for firms to sell their shares is through brokerages.

Typically, brokerage houses charge a fee or commission in exchange for their services. Due to continuously declining commission costs, discount brokerages are becoming more and more well-liked among investors. Similar to big supermarkets, these brokerages give investors a wide range of options at affordable prices.

The majority of the labor must be done by investors, though. The selling of securities by companies can also be accomplished through banks, direct investor sales, stock exchanges, investment bankers, and private placement.

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At 6:00 AM, a hiker begins hiking up a mountain beside Lake Tahoe, whose base sits 6,224 feet above sea level. At 10:00 AM, the hiker reaches an altitude of 6,854 feet above sea level. Let "A" be the altitude (in feet) and let " t " be the number of minutes hiked. a) ( 2 points) What is the hiker's rate of ascent up the mountain (in feet per minute)? Assume that the rate is linear/constant. b) Write an equation of the fo A=mt+b that represents the altitude after t minutes. c) Estimate the hiker's altitude at 9:00 AM You borrowed $500,000 for your new house with a 30-year fixed-rate loan at an annual interest rate of 4.2%. The first mortgage payment is due exactly one month after you signed the contract. Your monthly mortgage payment is2,623.332,445.092,273.23$3,748.75 You have been asked to analyze the value of equity in a company that has the following features: - The earnings before interest and taxes is $25 million, and the corporate tax rate is 40%. - The earnings are expected to grow 4% a year in perpetuity, and the return on capital is 10%. The cost of capital of comparable firms is 9%. - The firm has two types of debt outstanding - two-year zero coupon bonds with a face value of $250 million and bank debt with 10 years to maturity with a face value of $250 million. (The duration of this debt is four years.) - The firm is in two businesses-food processing and auto repair. The average standard deviation in firm value for firms in food processing is 25%, whereas the standard deviation for firms in auto repair is 40%. The correlation between the businesses is 0.5. - The riskless rate is 7%. Use the option pricing model to value equity as an option. Objective: Apply your skills in binary and octal numbering to configuring *nix directory and file permissions.Description: As a security professional, you need to understand different numbering systems. For example, if you work with routers, you might have to create access control lists (ACLs) that filter inbound and outbound network traffic, and most ACLs require understanding binary numbering. Similarly, if youre hardening a Linux system, your understanding of binary helps you create the correct umask and permissions. Unix uses base-8 (octal) numbering for creating directory and file permissions. You dont need to do this activity on a computer; you can simply use a pencil and paper.1Write the octal equivalents for the following binary numbers: 100, 111, 101, 011, and 010.2Write how to express *nix owner permissions of r-x in binary. (Remember that the - symbol means the permission isnt granted.) Whats the octal representation of the binary number you calculated? (The range of numbers expressed in octal is 0 to 7. Because *nix has three sets of permissions, three sets of 3 binary bits logically represent all possible permissions.)3In binary and octal numbering, how do you express granting read, write, and execute permissions to the owner of a file and no permissions to anyone else?4In binary and octal numbering, how do you express granting read, write, and execute permissions to the owner of a file; read and write permissions to group; and read permission to other?5In Unix, a file can be created by using a umask, which enables you to modify the default permissions for a file or directory. For example, a directory has the default permission of octal 777. If a Unix administrator creates a directory with a umask of octal 020, what effect does this setting have on the directory? Hint: To calculate the solution, you can subtract the octal umask value from the octal default permissions.6The default permission for a file on a Unix system is octal 666. If a file is created with a umask of octal 022, what are the effective permissions? Calculate your results. Part II Run show-NetFirewallRule and attach screenshots of three rules. Describe what each rule means in 1-2 sentences.Part III Recreate any of the scripting examples in the class and attach screenshots. What is the Dietary Reference Intake for dietary fiber?a. 15-25 grams per dayb. 25-35 grams per dayc. 35-50 grams per dayd. 10-15 grams per daye. 70-80 grams per day A square garden is 10 feet long. A square walkway 3 feet wide goes all the way around the garden. How many feet of fence is needed to go around the walkway? You choose to invest your $3,360 income tax refund check (rather than spend it) in an account earning 6% compounded annually. How much will the account be worth in 30 years? (Use the Table provided.) Note: Round your answer to the nearest cent. Chandler Co.'s 5-year bonds yield 12.50%, and 5-year T-bonds yield 5.15%. The real risk-free rate is r* = 3.0%, the inflation premium for 5-year bonds is IP = 1.75%, the liquidity premium for Chandler's bonds is LP = 0.75% versus zero for T-bonds, and the maturity risk premium for all bonds is found with the formula MRP = (t 1) 0.1%, where t = number of years to maturity. What is the default risk premium (DRP) on Chandler's bonds?Select the correct answer.a. 6.35%b. 5.60%c. 6.10%d. 6.60%e. 5.85% On its 2022 statement of cash flows prepared using the directmethod, Mould, Inc. reports cash collected from customers of$595,000. Mould also reports the following on its balancesheets:Decembe Algebraically specify a bounded FIFO Queue (Queue with a specified lower and upper limit for performing the enqueue and dequeue operations) having a maximum size of MSize and that supports the following methods: New(), Append(), Size(), Remove(), First() and isempty() with their conventional meanings: The Abstract Data Type (ADT) that needs to be defined here is queue and which may further uses the following data types: Boolean, Element, Integer data types. In addition, include the exceptions if required.Design the axioms for the following sequence of operations: first(new()), remove(new()), size(new()), first(append(q, e)), remove(append(q,e)), size(append (q,e)), isempty(q) Which of these is a reason peer groups change from childhood to adolescence?a. Adolescents tend to seek out people who are noticeably different from themselves.b. For most adolescents, social settings become smaller and more intimate.c. Adolescents tend to seek out people who resemble the adolescent's own family members.d. For most adolescents, social settings become larger and more anonymous. The formula for number of customers required for profit is: Select one: a. sales price minus variable costs b. similar to the number of customers required for breakeven formula, but instead of 0 , profit is used in the numerator. c. costs divided by sales and multiplied by 100 d. same as the number of customers required for breakeven formula. Journalize the following adjustments.1. Services performed but unbilled and uncollected at March 31 was $200.2. Depreciation on equipment for the month was $250.3. One-sixth of the insurance expired.4. An inventory count shows $280 of cleaning supplies on hand at March 31.5. Accrued but unpaid employee salaries were $1,080.6. One month of the prepaid rent has expired.7. One month of interest expense related to the note payable has accrued and will be paid April 1. However, for the ODE problems in Exercises 1-4. Each of these problems is called a boundary-value problem, and we will study these problems in detail in Section 1.7. For now, decide whether each of these problems is well- posed, in terms of existence and uniqueness of solutions.1. y" + y = 0, y(0) = y(2) = 0,0 x 22. y" + y = 0, y(0) = () = 0,0 x (2) [5{pt}] (a) (\sim 2.1 .8{a}) Let x, y be rational numbers. Prove that x y, x-y are rational numbers. (Hint: Start by writing x=\frac{m}{n}, y=\frac{k}{l} Suppose we have one red, one blue, and one yellow box. In the red box we have 3 apples and 5 oranges, in the blue box we have 4 apples and 4 oranges, and in the yellow box we have 3 apples and 1 orange. Now suppose we randomly selected one of the boxes and picked a fruit. If the picked fruit is an apple, what is the probability that it was picked from the yellow box?Note that the chances of picking the red, blue, and yellow boxes are 50%, 30%, and 20% respectively and the selection chance for any of the pieces from a box is equal for all the pieces in that box. Please show your work in your reportb)Consider the following dataset.outlook = overcast, rain , rain , rain , overcast ,sunny , rain , sunny, rain, rainhumidity = high , high , normal , normal , normal , high , normal ,normal , high , highplay = yes yes yes no yes no yes yes no no1.Using naive Bayes, estimate the probability of Yes if the outlook is Rain and the humidity is Normal.2.What is the true probability of Yes in a random choice of one of the three cases where the outlook is Rain and the humidity is Normal? In your program, write assembly code that does the following: Create a DWORD variable called "sum". Its initial value doesn't matter. Set the registers eax, ebx, ecx, and edx to whatever values you like Perform the following arithmetic: (eax + ebx) - (ecx + edx) Move the result of the above arithmetic into the sum variable. When planning care for a client with myasthenia gravis, the nurse understands that the client is at highest risk for:1. aspiration.2. bladder dysfunction.3. hypertension.4. sensory loss. Write a function mode(numlist) that takes a single argument numlist (a non-empty list of numbers), and returns the sorted list of numbers which appear with the highest frequency in numlist (i.e. the mode). For example:>>> mode([0, 2, 0, 1])[0]>>> mode([5, 1, 1, 5])[1, 5]>>> mode([4.0])[4.0]