In order to transform Apple, Steve Jobs , Team members should hold each other accountable for their work and actions.
In order to transform Apple, Steve Jobs had to whip the company into shape. This would involve setting up high-performance teams. In setting up these teams, the following are the characteristics that are required:
1. Goals and Objectives The most important characteristic of high-performance teams is the clear definition of their goals and objectives. Team members should be aware of their individual responsibilities, as well as the project's goals and objectives.
2. Communication Clear and direct communication between team members is crucial for a successful high-performance team.
3. Supportive and Positive AttitudeHigh-performance teams require team members with a positive and supportive attitude towards each other. Everyone should be willing to offer assistance to each other when necessary.
4. Creative Problem-Solving High-performance teams should be able to think outside the box and solve problems creatively.
5. Decision-Making High-performance teams should be able to make quick, effective, and informed decisions.
6. Collaboration High-performance teams should be capable of working together to achieve their goals.
7. Accountability High-performance teams should take responsibility for their actions and the outcomes of their work.
Team members should hold each other accountable for their work and actions.
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Abdulrahman Al Mansouri is the purchasing manager at the headquarter of ADNIC insurance company with a central inventory operation. ADNIC’s fastest-moving inventory item has a demand of 8,835 units per year. The inventory carrying cost is AED 95 per unit per year. The average ordering cost is AED120 per order. Abdulrahman Al Mansouri like to calculate Economic Order Quantity of the inventory item. Calculate Economical order Quantity (Q*) of the inventory item using Basic EOQ Model?
The Economic Order Quantity (Q*) of the inventory item using Basic EOQ Model is 22317 units.
The formula for Economic Order Quantity (EOQ) is: EOQ = √((2DS)/H), where D is annual demand, S is setup cost, and H is holding cost. Given that Abdulrahman Al Mansouri is the purchasing manager at the headquarter of ADNIC insurance company with a central inventory operation and the fastest-moving inventory item has a demand of 8,835 units per year and inventory carrying cost of AED 95 per unit per year.
The average ordering cost is AED120 per order.
Economic Order Quantity (Q*) of the inventory item using Basic EOQ Model:
Q* = √((2DS)/H), Here, D = Annual demand = 8,835S = Ordering cost per order = AED120
H = Holding cost per unit per year = AED95Q*
= √((2DS)/H)
= √((2 × 8835 × 120)/95)
= √((2 × 1060200)/95)
= √22316.84
≈ 22317 units.
Therefore, the Economic Order Quantity (Q*) of the inventory item using Basic EOQ Model is 22317 units.
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Cash receipts received from the issuance of a mortgage notes payable would be classified as
a. either financing or investing activities.
b. operating activities.
c. investing activities.
d. financing activities.
The cash receipts received from the issuance of a mortgage notes payable would be classified as financing activities.
Financing activities involve obtaining capital or funds for the business through borrowing or issuing equity instruments. When a company issues a mortgage notes payable, it is essentially borrowing money from the lender in exchange for a promise to repay the loan over a specific period of time, typically with interest.
Cash receipts from the issuance of mortgage notes payable represent an inflow of cash to the company, which increases its financing resources. These funds are obtained specifically to finance the company's operations, investments, or other financing needs. The cash receipts are categorized as financing activities in the statement of cash flows.
It's important to note that financing activities involve activities related to the company's capital structure, including issuing debt or equity instruments, repurchasing shares, and repaying principal amounts of loans.
These activities are distinct from operating activities, which involve the day-to-day business operations, and investing activities, which relate to the acquisition or sale of long-term assets.
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Calculate the budgeted cost of trophies and plaques if Trundle allocates overhead costs in each department using activity-based costing. Begin by calculating the budgeted setup rate for the forming and the assembly departments. First select the formula, then enter the applicable amounts and calculate the rates. (Round your answer to six decimal places, X.XXXXXX. Abbreviations used: DC - Direct cost, DL = Direct labor, $ = dollar.) Budgeted setup costs / Budgeted number of batches = Budgeted setup rate Forming $22,050 / 150 = $147 per batch Assembly $45,675 / 145 = $315 per batch Now calculate the budgeted supervision rate for the forming and the assembly departments. First select the formula, then enter the applicable amounts and calculate the rates. (Round your answer to six decimal places, X.XXXXXX. Abbreviations used: DC - Direct cost, DL = Direct labor, $ = dollar.) Budgeted supervision costs / Budgeted direct labor costs = Budgeted supervision rate Forming $22,050 / 49,000 = $0.45 per DL $ Assembly $21,000 / 35,000 = $0.6 per DL
The budgeted cost of trophies and plaques for Trundle, using activity-based costing, is calculated based on the budgeted setup rate and the budgeted supervision rate for the forming and assembly departments.
1. For the forming department, the budgeted setup rate is determined by dividing the budgeted setup costs of $22,050 by the budgeted number of batches, which is 150. This results in a budgeted setup rate of $147 per batch.
2. Next, the budgeted supervision rate for the forming department is calculated by dividing the budgeted supervision costs of $22,050 by the budgeted direct labor costs of $49,000. This yields a budgeted supervision rate of $0.45 per direct labor dollar.
3. For the assembly department, the budgeted setup rate is calculated by dividing the budgeted setup costs of $45,675 by the budgeted number of batches, which is 145. This gives a budgeted setup rate of $315 per batch.
4. Similarly, the budgeted supervision rate for the assembly department is determined by dividing the budgeted supervision costs of $21,000 by the budgeted direct labor costs of $35,000. This results in a budgeted supervision rate of $0.6 per direct labor dollar.
5. The budgeted cost of trophies and plaques for Trundle, based on activity-based costing, takes into account the setup rates and supervision rates for the forming and assembly departments. The forming department has a budgeted setup rate of $147 per batch and a budgeted supervision rate of $0.45 per direct labor dollar. The assembly department has a budgeted setup rate of $315 per batch and a budgeted supervision rate of $0.6 per direct labor dollar. These rates will be used to allocate overhead costs and determine the total budgeted cost for trophies and plaques.
6. Activity-based costing is a method that assigns overhead costs to products or services based on the activities required to produce them. In this case, Trundle is using activity-based costing to allocate overhead costs to the trophies and plaques it produces.
7. Similarly, the budgeted supervision rate is calculated by dividing the budgeted supervision costs by the budgeted direct labor costs. The supervision costs include the expenses associated with overseeing and managing the production process. Dividing these costs by the direct labor costs gives us the supervision rate per direct labor dollar.
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true/false. negative perceptions of outgroups indeed serve to ensure better access to resources for the ingroup
False. Negative perceptions of outgroups do not necessarily ensure better access to resources for the ingroup. Such perceptions can lead to discrimination, prejudice, and conflict, which can hinder cooperation and resource sharing. In fact, promoting inclusive attitudes and cooperation across groups tends to lead to more equitable resource distribution and societal benefits.
Negative perceptions of outgroups can result in various negative consequences, including social exclusion, stereotypes, discrimination, and conflict. These dynamics can create barriers to cooperation and hinder the sharing of resources. When ingroups hold negative perceptions of outgroups, it often leads to a lack of trust, cooperation, and collaboration between the groups, ultimately hindering access to shared resources and opportunities.
On the other hand, fostering positive intergroup relations, empathy, and cooperation has been shown to lead to more equitable resource distribution and better outcomes for both ingroups and outgroups. By breaking down stereotypes, promoting understanding, and working towards common goals, societies can create environments that are more inclusive and provide fair access to resources for all individuals, regardless of their group affiliation.
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During the storming phase of team development, the team has just been created. True False
Frederick Taylor's goal was to find ways to improve worker motivation by making work more interesting and cha
The given statement "During the storming phase of team development, the team has just been created" is False because During the storming phase of team development, the team has moved past the initial creation stage.
In the storming phase, team members have already been introduced and have started working together. This stage is characterized by conflicts, disagreements, and power struggles as team members establish their roles, express their opinions, and vie for influence within the team.
They may challenge each other's ideas, confront differences in work styles, and navigate through interpersonal dynamics. The storming phase is a critical stage in team development, as it sets the foundation for effective collaboration.
Through open communication, negotiation, and resolution of conflicts, teams can progress to the next stage of development, norming, where they begin to establish common goals, norms, and cohesion.
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During the storming phase of team development, the team has just been created. True False
Make the case that the large overall volume of trade on financial markets is excessive. Explain the logic behind your arguments and mention any relevant evidence. Make sure to describe the design and results of any studies you mention. (Note: The question is about the overall volume of trade, not the volume of trade by individual investors.
The volume of trade on financial markets, particularly foreign exchange, has significantly grown over the years. The foreign exchange (Forex) market, for example, is one of the most liquid markets in the world, with over $5.3 trillion traded per day.
The excessive trading volume on the financial markets is a cause of concern because it distorts market prices and causes market instability. Market instability is particularly detrimental to investors, as it increases the risk of market crashes, and this can have negative impacts on the global economy.The excessive trading volume on financial markets has a lot to do with the behavior of market participants.
Financial markets are characterized by a large number of speculators, who trade to make a profit rather than for long-term investment. These speculators can be individuals, hedge funds, or other institutional investors. The speculators do not invest in the underlying assets that the financial instruments represent but rather speculate on their prices. This behavior can cause excessive trading volume, which distorts market prices and causes market instability.There are several studies that support the argument that the volume of trade on financial markets is excessive. One of the most notable studies is by the Bank for International Settlements (BIS). The study found that excessive trading volume in the foreign exchange market causes market instability and can lead to market crashes. The study also found that the volume of trade in the foreign exchange market is not correlated with the real economy but rather with the behavior of market participants. This is evidence that the excessive volume of trade in financial markets is not based on fundamentals, but rather on the behavior of market participants.In conclusion, the excessive trading volume on financial markets is a cause of concern, as it distorts market prices and causes market instability. This behavior is fueled by speculators, who trade to make a profit rather than for long-term investment. Studies have shown that excessive trading volume in financial markets can lead to market crashes and has no correlation with the real economy. This suggests that the volume of trade on financial markets is excessive and needs to be regulated.
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See Acme Inc. demand equation. If the advertising expenses are $1.1 million and the rebate is $3.00, then the number of units sold will be:
A. 20,418
B. 20,133
C. 177,698,950
D. None of these options
The number of units sold cannot be determined without the complete demand equation and additional information. The correct can not be determined in absence of demans equation.
To determine the number of units sold based on the given information, we need the complete demand equation for Acme Inc. Unfortunately, the demand equation is not provided, making it impossible to calculate the exact number of units sold.
The demand equation typically includes various factors such as price, advertising expenses, rebates, and other variables that influence consumer demand. Without the full equation, it is not feasible to determine the specific relationship between advertising expenses, rebates, and the number of units sold.
The options provided, A) 20,418, B) 20,133, and C) 177,698,950, are likely arbitrary numbers and cannot be directly linked to the given information without the complete demand equation. Therefore, none of the options provided can be selected as the correct answer.
To accurately determine the number of units sold, we would need additional information, such as the price of the product and the specific mathematical relationship between advertising expenses, rebates, and demand.
In summary, without the complete demand equation or additional information, it is not possible to calculate the number of units sold based solely on the given advertising expenses and rebate amount. Therefore none of the options can we said to be correct.
Therefore the correct answer cannot be determined.
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Below is the monthly sales data of Sunshine Co. (a merchandiser) in the first quarter of 2021: Month Sales ($) 70,000 Jan Feb 80,000 Mar 100,000 Additional information is as follows: 1. Sunshine expects a 10% increase in sales in the first quarter of 2022 compared to 2021. 2. Average purchases in 2021 were 60% of sales and is expected to remain the same in 2022. 3. Sunshine has the following cash collection pattern from its customers: 20% in the month of sale and the remaining in the month following the sale. 4. 40% of purchases are paid for in cash in the month of purchase, and the balance is paid the following month. 5. In 2022, it is budgeted that labor costs amounted to 15% of sales. Other operating costs are $35,000 per month (including $10,000 depreciation). Both labor and other operating costs are paid in the month incurred. 6. Suppose the cash balance at the end of January 2022 was $9,000. Sunshine has a policy of maintaining a monthly minimum cash balance of $4,000. If needed, money can be borrowed in multiples of $500. Required: 1. Prepare Sunshine's sales and purchases budget for the first quarter of 2022. Provide all necessary calculation. (5 points) 2. Prepare Sunshine's cash budget for February and March 2022. Provide all necessary calculation. (20 points) 3. What suggestions can you give to Victory to improve their cash flow? Explain your answer. (5 points)
1. Sunshine's sales and purchases budget for the first quarter of 2022 are given below:
Month Sales($) Increased Sales($) Purchases($)
Jan 70,000 77,000 46,200
Feb 80,000 88,000 52,800
Mar 100,000 110,000 66,000
2. Cash budget for February and March 2022 is $4,000 and $4,450 respectively.
3. Victory can improve their cash flow by reducing expenses, improving collections, negotiating better payment terms, and improving inventory management.
1. The calculations for sales in the first quarter of 2022 are as follows:
Month Sales($) 10% Increase Sales Total Sales ($)
Jan 70,000 70,000 × 10% = 7,000 77,000
Feb 80,000 80,000 × 10% = 8,000 88,000
Mar 100,000 100,000 × 10% = 10,000 110,000
The calculations for purchases in the first quarter of 2022 are as follows:
Purchases are calculated as 60% of sales.
Month 60% of Sales($) Purchases ($)
Jan 70,000 × 60% = 42,000 46,200
Feb 80,000 × 60% = 48,000 52,800
Mar 100,000 × 60% = 60,000 66,000
2. Sunshine's cash budget for February and March 2022 are given below:
February
Beginning cash balance = $9,000
Collections from January sales = $15,400
Collections from February sales (20% of $88,000) = $17,600
Total available cash = $42,000
Less: Purchases ($52,800)
Less: Labor costs ($11,550)
Less: Other operating costs ($35,000)
Less: Loan repayment ($500)
Total cash disbursements ($99,850)
Ending cash balance ($57,850)
Since the ending cash balance is greater than the minimum required cash balance of $4,000, no additional financing is required.
March
Beginning cash balance = $57,850
Collections from February sales = $17,600
Collections from March sales (20% of $110,000) = $22,000
Total available cash = $97,450
Less: Purchases ($66,000)
Less: Labor costs ($16,500)
Less: Other operating costs ($35,000)
Less: Loan repayment ($500)
Total cash disbursements ($118,000)
Ending cash balance = ($20,550)
Since the ending cash balance is less than the minimum required cash balance of $4,000, financing is required. The shortfall is $24,550, and the amount of financing required should be rounded up to the nearest multiple of $500, which is $25,000. The ending cash balance after financing is $4,450.
3. Sunshine can consider the following suggestions to improve its cash flow:
Reduce expenses: Sunshine can reduce its expenses by negotiating better prices with its suppliers or by reducing its labor costs.Improve collections: Sunshine can improve its cash collections by offering discounts to customers who pay early or by incentivizing its collection staff to improve collections.Negotiate better payment terms: Sunshine can negotiate better payment terms with its suppliers to improve its cash flow by paying later or by paying in installments.Improve inventory management: Sunshine can improve its inventory management by reducing its inventory levels or by improving its inventory turnover. This will reduce the amount of cash tied up in inventory and improve cash flow.Learn more about Cash flow:
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Which of the following are required to be included in segment disclosures for all reportable segments?
A. Profit or loss
B. Total assets
C. Any additional financial data that is reviewed by the chief operating officer
D. All of the above
E. Both A and B
The required elements to be included in segment disclosures for all reportable segments are E. Both A and B (Profit or loss and Total assets).
According to accounting standards, specifically International Financial Reporting Standards (IFRS) and Generally Accepted Accounting Principles (GAAP),
segment disclosures are necessary to provide users of financial statements with information about an entity's different operating segments. These disclosures help users understand the financial performance and position of the entity's various segments.
The required elements for segment disclosures generally include both the profit or loss and the total assets of each reportable segment.
Profit or loss represents the segment's financial performance, indicating its revenue and expenses, including operating income or loss. Total assets reflect the segment's size and the resources allocated to it.
Additionally, the chief operating officer or other management personnel may review additional financial data specific to each segment, beyond just profit or loss and total assets.
However, the inclusion of this additional financial data in segment disclosures is not required for all reportable segments. It depends on the significance and relevance of the data to provide meaningful information to users of the financial statements.
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Use branch-and-bound algorithm to find the solution of the following IP model. (Use the graphical method to find the solution/subproblems) max z = 2X2 + 3X2 s.t. 5X1 + 7X, S 35 4X1 + 9x2 < 36 X ,X2 > 0 and X1, X2: integer
The optimal solution for the given IP model is (X1, X2) = (5, 3), with an optimal objective value of 19.
The branch-and-bound algorithm is a powerful tool for solving integer programming (IP) problems. It begins by solving the relaxed LP problem and then divides the problem into subproblems, creating a tree structure. It then selects one of the subproblems and repeats the process until an optimal integer solution is found.
Let's apply this algorithm to the given IP model:
max z = 2X1 + 3X2
subject to:
5X1 + 7X2 ≤ 35
4X1 + 9X2 < 36
X1, X2 ≥ 0, integer
Step 1: Solve LP relaxation
Ignore the integer constraint and solve the relaxed LP problem:
max z = 2X1 + 3X2
subject to:
5X1 + 7X2 ≤ 35
4X1 + 9X2 < 36
X1, X2 ≥ 0
Using graphical methods, we can draw the feasible region and the objective function on a graph.
IP Model Graphical Solution
The optimal solution for the LP relaxation is (X1, X2) = (3, 2.14) with an optimal objective value of 12.5.
Step 2: Create subproblems
We can create two subproblems by branching on X2:
Subproblem 1: max z = 2X1 + 3X2, subject to:
5X1 + 7X2 ≤ 35
4X1 + 9X2 < 36
X1, X2 ≥ 0, X2 ≤ 2
Subproblem 2: max z = 2X1 + 3X2, subject to:
5X1 + 7X2 ≤ 35
4X1 + 9X2 < 36
X1, X2 ≥ 0, X2 ≥ 3
Step 3: Solve subproblems
We repeat the process starting from subproblem 1 and solving the LP relaxation. The optimal solution is (X1, X2) = (3, 1.57) with an objective value of 9.71.
Since the objective value of the LP relaxation of subproblem 1 is less than the current upper bound of 12.5, we can discard this subproblem.
Next, we solve subproblem 2 by solving the LP relaxation. The optimal solution is (X1, X2) = (4.5, 3) with an objective value of 18.
Since the objective value of the LP relaxation of subproblem 2 is greater than the current upper bound of 12.5, we branch on X1:
Subproblem 3: max z = 2X1 + 3X2, subject to:
5X1 + 7X2 ≤ 35
4X1 + 9X2 < 36
X1, X2 ≥ 0, X2 ≥ 3, X1 ≤ 4
Subproblem 4: max z = 2X1 + 3X2, subject to:
5X1 + 7X2 ≤ 35
4X1 + 9X2 < 36
X1, X2 ≥ 0, X2 ≥ 3, X1 ≥ 5
We solve subproblem 3 and the optimal solution is (X1, X2) = (4, 3) with an objective value of 17. We can discard this subproblem since its objective value is less than the current upper bound.
Finally, we solve subproblem 4 and the optimal solution is (X1, X2) = (5, 3) with an objective value of 19. This is the optimal integer solution.
Step 4: Solution
Therefore, the optimal solution for the given IP model is (X1, X2) = (5, 3), with an optimal objective value of 19.
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a) Determine the monthly payment on a car loan of $24 000 with
an
interest rate of 6% compounded monthly over 5 years.
b) Determine the total interest paid on the loan.
The monthly payment on a car loan with interest rate of 6% compounded is $463.99.
What is the monthly payment on a car loan?The monthly payment refers to amount paid per month to pay off the loan in the time period of the loan.
To calculate the monthly payment on a car loan, we can use the formula for the monthly payment of a loan [tex]Monthly Payment = (P * r * (1 + r)^n) / ((1 + r)^n - 1)[/tex].
Given:
P = $24,000
r = 6% / 12 = 0.005
n = 60 months
Plugging values:
Monthly Payment = (24000 * 0.005 * (1 + 0.005)^60) / ((1 + 0.005)^60 - 1)
Monthly Payment = 24000 * 0.005 *3.86656030589
Monthly Payment = 463.987236707
Monthly Payment = $463.99
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If government spending increases and taxes are raised to keep the budget balanced, which of the following is true?
A. Two components of aggregate demand will decrease. The AD curve shifts to the left.
B. One component of aggregate demand will increase and another will decrease. The AD curve shifts to the right.
C. Two components of aggregate demand will increase. The AD curve shifts to the right.
D. One component of aggregate demand will increase and another will decrease. The AD curve shifts to the left.
One component of aggregate demand will increase, and another will decrease. The AD curve shifts to the left.
When the government spends more and raises taxes to keep the budget balanced, it has an effect on aggregate demand, and the AD curve shifts to the left, which means that the equilibrium output will decrease. This is as a result of decreased consumption, investment, and net export.
If the government spends more on goods and services and raises taxes, the level of disposable income of households decreases, which results in a decrease in consumption spending.
The net export also decreases because the increase in taxes reduces the export level. Additionally, an increase in interest rates discourages investments, which will decrease the aggregate demand.In conclusion, government spending increases, and taxes raised to keep the budget balanced have an impact on aggregate demand.
A component of aggregate demand will increase, and another will decrease. The AD curve shifts to the left because of decreased consumption, investment, and net export.
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Suppose you want to sell property that is currently leased to a tenant. The most likely buyer for your property will be an "owner-user." Which of the following statements is true?
A. If the property is leased under a tenancy for a stated period, the new owner can immediately require the tenant to vacate the premises.
B. If the property is leased under a tenancy at sufferance, the new owner has no right to seek the court's immediate assistance in removing the tenant.
C. If the property is leased under a tenancy at will, the new owner can require the tenant to vacate the premises after giving proper notice of termination as required by statute.
D. No transaction is legally permissible while the property is leased to a tenant.
Suppose you want to sell property that is currently leased to a tenant. The most likely buyer for your property will be an "owner-user." If the property is leased under a tenancy at will, the new owner can require the tenant to vacate the premises after giving proper notice of termination as required by statute. Hence, option C is the correct option.
An owner-user is someone who buys a property with the intention of using it for their business or personal use. A buyer who is looking for a property to occupy and not to rent out is known as an owner-user. If the property is leased under a tenancy at will, the new owner can require the tenant to vacate the premises after giving proper notice of termination as required by statute.
A tenancy at will is a type of lease agreement that allows the landlord or tenant to terminate the lease with little or no notice. Therefore, If the property is leased under a tenancy at will, the new owner can require the tenant to vacate the premises after giving proper notice of termination as required by statute. Hence, c is the correct option.
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Question 2 1 pts Ackerman Co. has 7 percent coupon bonds on the market with 8 years left to maturity. The bonds make annual payments. If the bond currently sells for $1,063.25, what is its YTM? Answer with 4 decimals (e.g. 0.0123)
we can find that the YTM of the bond is approximately 0.0637 or 6.37% when rounded to four decimal places.
To calculate the yield to maturity (YTM) of the Ackerman Co. bonds, we need to use the formula for present value of a bond. The formula is as follows:
Bond Price = (Coupon Payment / YTM) * (1 - (1 / (1 + YTM)^N)) + (Face Value / (1 + YTM)^N)
Where:
Bond Price = $1,063.25 (given price of the bond)
Coupon Payment = 7% of the Face Value
YTM = Yield to Maturity (the variable we want to find)
N = Number of years to maturity
In this case, the bonds have 8 years left to maturity and make annual payments. We can substitute the given values into the formula and solve for YTM.
$1,063.25 = (0.07 * Face Value / YTM) * (1 - (1 / (1 + YTM)^8)) + (Face Value / (1 + YTM)^8)
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Explain to Michael, who is a newly appointed director of a public listed company, the following matters concerning the Companies Act 2016.
(a) A resolution passed by a simple majority.
(b) The procedure of resignation involves only one director or the last remaining director in the company.
(c) Discuss the exceptions provided in section 208 and section 209, where a single director may resign from his office by giving written notice to the company at its registered office.
(a) A resolution passed by a simple majority:
A resolution passed by a simple majority means that more than 50% of the votes cast by shareholders are in favor of the resolution. It is the common method of decision-making in company meetings.
(b) Resignation procedure for one director or the last remaining director:
If a company has only one director or if a resignation leaves only one director remaining, the remaining director must notify the Registrar of Companies within 30 days. The company must also appoint a new director within 30 days to meet the requirement of having at least two directors.
(c) Exceptions for single director resignation:
Sections 208 and 209 of the Companies Act 2016 provide exceptions for a single director to resign. These include situations where the remaining director is unable or unwilling to act, or where circumstances prevent the appointment of a new director. However, efforts should still be made to appoint a new director as soon as possible to comply with the minimum director requirement.
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louis owned a piece of land which he purchased in 2018 for $175,000. in 2022 he sold the land to his mother for $160,000 and she hopes to be able to sell it in 2023 for $180,000. how much of a gain or loss can louis recognize on the sale of the property to his mother in 2022?$15,000 recognized loss in 2022$5,000 recognized gain 2022$20,000 recognized gain in 2022no recognized loss in 2022
The recognized gain or loss from A. the sale of each parcel: $25,000 loss, $5,000 loss, $25,000 loss. B His recognized gain or loss: $15,000 gain. C. his recognized gain or loss:$5,000 gain. D. her recognized gain or loss $10,000 loss.
A. The recognized gain or loss from the sale of each parcel is as follows:
Parcel A: ($75,000 - $50,000) = $25,000 loss
Parcel B: ($125,000 - $120,000) = $5,000 loss
Parcel C: ($175,000 - $150,000) = $25,000 loss
B. If Louis's uncle eventually sells his land for $90,000, his recognized gain or loss would be calculated based on the uncle's selling price and the adjusted basis of the land. Since the uncle bought the land from Louis, his adjusted basis would be the same as Louis's basis of $75,000. Therefore, the recognized gain or loss for the uncle would be ($90,000 - $75,000) = $15,000 gain.
C. If Louis's partner eventually sells his land for $130,000, his recognized gain or loss would be calculated in a similar manner. The partner's adjusted basis would be the same as Louis's basis of $125,000. Therefore, the recognized gain or loss for the partner would be ($130,000 - $125,000) = $5,000 gain.
D. If Louis's mother eventually sells her land for $165,000, her recognized gain or loss would be calculated using her selling price and the adjusted basis of the land. The mother's adjusted basis would be the same as Louis's basis of $175,000. Therefore, the recognized gain or loss for the mother would be ($165,000 - $175,000) = $10,000 loss.
In summary, Louis incurred losses on the sale of parcels A, B, and C. The specific gain or loss recognized by the subsequent sellers (uncle, partner, and mother) would depend on their selling prices and the adjusted basis they acquired from Louis.
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Complete question:
Louis owns three pieces of land with an adjusted basis as follows: par- cel A, $75,000; parcel B, $125,000; and parcel C, $175,000. Louis sells parcel A to his uncle for $50,000, parcel B to his partner for $120,000, and parcel C to his mother for $150,000.
A. What is the recognized gain or loss from the sale of each parcel?
B. If Louis’s uncle eventually sells his land for $90,000, what is his recognized gain or loss?
C. If Louis’s partner eventually sells his land for $130,000, what is his recognized gain or loss?
D. If Louis’s mother eventually sells her land for $165,000, what is her recognized gain or loss?
QUESTION 28 3 points Save What is the Equity multiplier (EM)? Using EM, explain how increasing the bank capital would have a negative impact on the ROA for equity holders? (3 points) For the toolbar,
The Equity multiplier (EM) is a financial metric that measures the leverage of a company or institution by comparing its total assets to its total equity. It is calculated by dividing total assets by total equity. Mathematically, EM = Total Assets / Total Equity.
Increasing the bank's capital, which refers to the amount of funds contributed by the bank's owners or shareholders, would have a negative impact on the Return on Assets (ROA) for equity holders when considering the Equity multiplier. This is due to the way EM affects the ROA calculation.
ROA is calculated by dividing the net income of the bank by its total assets. When the bank increases its capital, it also increases its total equity, which in turn increases the Equity multiplier. As the EM increases, the bank's total assets increase at a faster rate than its net income.
With a higher EM, the bank's total assets are amplified, but the net income remains relatively unchanged. Consequently, the ROA for equity holders decreases because the denominator (total assets) of the ROA calculation is increasing at a faster rate compared to the numerator (net income).
In conclusion, increasing the bank's capital would result in a higher Equity multiplier, which negatively impacts the ROA for equity holders. The increased leverage from higher total assets outweighs the relatively unchanged net income, leading to a lower ROA.
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Real-Time Data Analysis Exercise* "Real-time data provided by Federal Reserve Economic Data (FRED), Federal Reserve Bank of Saint Louis Using data from the St. Louis Federal Reserve, analyze the stock
Real-time data provided by Federal Reserve Economic Data (FRED), Federal Reserve Bank of Saint Louis Using data from the St. Louis Federal Reserve, analyze the stock.
The Federal Reserve Bank of St. Louis publishes a database of economic data for the United States, as well as some international data. The database is known as Federal Reserve Economic Data (FRED). It has a vast variety of macroeconomic indicators such as inflation rates, GDP growth, employment rates, and many others. The database provides real-time economic data, including stock prices and other market data. There are multiple ways in which you can analyze the stock prices with the help of the data from FRED. Here is one possible exercise: Download daily data for the S&P 500 stock index from FRED for the period January 2000 to December 2020 using the code "SP500".Plot the data and identify any notable trends or patterns.
For instance, we can observe that the S&P 500 has increased over the years but experienced a sharp decline in early 2020 due to the COVID-19 pandemic. Calculate the mean, standard deviation, and minimum and maximum values of the S&P 500 stock index for the entire period and for each year. We can do this using statistical functions available in Excel or any other software program. This will help us understand the volatility and performance of the stock market. Conduct a correlation analysis of the S&P 500 with other relevant variables such as inflation, interest rates, and GDP growth. This will help us understand how the stock market is related to the broader economy. Finally, we can use the insights from our analysis to make informed investment decisions or to provide recommendations to others who are interested in investing.
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December 31, year Q, ABC purchased a machine in exchange for an interest-bearing note requiring 5 payments of $291676 at the end of each year. The first payment was made on December 31, year 1. At the date of the transaction, the prevailing rate of interest for this type of note was 4.5%. The initial value of the machine is Answer:
The initial value of the machine is approximately $1,129,620. December 31, year Q, ABC purchased a machine in exchange for an interest-bearing note requiring 5 payments of $291676 at the end of each year. The first payment was made on December 31, year 1. At the date of the transaction, the prevailing rate of interest for this type of note was 4.5%.We need to find the initial value of the machine.
To calculate the initial value of the machine, we need to find the present value of the interest-bearing note. The formula to calculate present value is: PV = PMT * [(1 - (1 / (1 + r)n)) / r]Where, PV = Present value PMT = Payment r = Interest rate per period n = Number of periods Using the given information in the question, we can calculate the initial value of the machine. PMT = $291676r = 4.5%n = 5PV = $291676 * [(1 - (1 / (1 + 4.5%)5)) / 4.5%]≈ $1,129,620. Therefore, the initial value of the machine is approximately $1,129,620.
Initial value: Initial value is the value of an asset when it was first purchased. It may also be referred to as the purchase price or the acquisition cost. It does not include any depreciation or appreciation that may have occurred since the purchase of the asset. Interest-bearing note:
An interest-bearing note is a written promise by one party to pay another party a certain amount of money, usually at a specific time in the future. The note specifies the interest rate that will be paid on the amount borrowed, as well as the repayment terms.
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Define the recognition criteria for the elements of financial
statements, and explain the measurement basis for the financial
statements
The recognition criteria for the elements of financial statements are the conditions that must be met for an item to be included in the financial statements.
The International Financial Reporting Standards (IFRS) form the basis of the recognition criteria for financial statement elements, which include meeting the definition of a financial element, being measurable in monetary terms being relevant to decision making and being reliable.
The elements are quantified in accordance with the measurement basis for financial statements. Historical cost, fair value, net realizable value and present value are some common measurement bases. While fair value makes use of the most recent market prices, historical cost records assets and liabilities at their original cost.
Present value undervalues future cash flows, while net realizable value predicts the proceeds from asset sales. The nature of the item and the requirement for pertinent and accurate financial information for decision making determine the measurement basis to be used.
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How can you characterize developing economies? To which extent are they heterogeneous? Provide some differences among LDCs countries if any.
Developing economies can be characterized as countries that are in the process of transitioning from low-income levels to higher levels of economic growth, industrialization, and technological advancement.
They typically face various challenges such as limited infrastructure, high poverty rates, inadequate access to education and healthcare, and underdeveloped financial systems. Developing economies often rely on sectors such as agriculture, manufacturing, and services as key drivers of their economic activity.
Developing economies are highly heterogeneous in terms of their economic, social, and political characteristics. They differ in terms of their resource endowments, geographic location, population size, cultural diversity, and governance structures. The level of development, growth rates, and challenges faced by developing economies vary significantly across different regions and countries.
Among the group of Least Developed Countries (LDCs), there are notable differences. Some LDCs are heavily dependent on agriculture and natural resource extraction, while others have made progress in diversifying their economies. Factors such as political stability, access to international markets, investment in infrastructure, and institutional quality also contribute to variations among LDCs. Additionally, differences in income levels, education, healthcare, and human development indicators exist among LDCs, reflecting the heterogeneity within this group of countries.
Overall, developing economies exhibit diverse characteristics, challenges, and levels of development, highlighting the need for tailored strategies and approaches to address their specific circumstances and promote sustainable growth and development.
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Which of the following statements about unemployment is true?
A person who is retired and not looking for a job is still considered unemployed.
A person who is working part-time but would like to be working full-time is considered to be unemployed.
To be officially unemployed, a person has to be in the labor force.
A person who is not working is officially unemployed.
A person who is a full-time student and not seeking employment is still considered unemployed.
Statement: A person who is retired and not looking for a job is still considered unemployed.
This statement is false.Unemployment refers to the condition of being without a job and actively seeking employment.
However, a person who is retired has voluntarily withdrawn from the labor force and is no longer seeking employment. Retirement is a personal decision to exit the workforce, and retirees are typically not considered as part of the labor force. Therefore, a retired person who is not looking for a job would not be classified as unemployed.
In order to be classified as unemployed, an individual must be actively seeking employment and available for work. Retirement implies a deliberate withdrawal from the labor force, and therefore, retired individuals who are not actively seeking employment are not considered unemployed.
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KP Incorporated is negotiating a 10-year lease for three floors of space in a commercial office building. KP can’t use the space unless a security system is installed. The cost of the system is $50,000, and it will qualify as seven-year recovery property under MACRS. The building’s owner has offered KP a choice. The owner will pay for the installation of the security system and charge $79,000 annual rent. Alternatively, KP can pay for the installation of the security system, and the owner will charge only $72,000 annual rent. Assume that KP has a 21 percent marginal tax rate, cannot make a Section 179 election to expense the $50,000 cost, and uses a 9 percent discount rate. Use Table 7-2, Appendix A and Appendix B.
Required:
a-1. Calculate the NPV of the security system.
a-2. Calculate the NPV of the after-tax cost of each alternative.
b. Which alternative should it choose?
Organise Cash Flows: In a table, place the expected cash flows for each period in the succeeding columns after the time periods, normally in the left-hand column.
Discounting Cash Flows: For each period, multiply the cash flow by (1 + r)n, where r is the discount rate and n is the period, to get the discounted amount. The discounting procedure takes into account the declining value of potential cash flows.
Add together all the discounted cash flows from step 2 to determine NPV. The project's Net Present Value (NPV) is the outcome.
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Brandon Moving & Storage Inc. paid $200,000 for 30% of the common shares of McDonough Ltd. McDonough eamed net income of $100,000 and paid dividends of $20,000 Brandon accounts for the investment usin
The equity method would be used by Brandon Moving & Storage Inc. to account for the investment in McDonough Ltd. When an investor has substantial control over the investee, which is normally obtained with ownership of 20% to 50% of the voting shares of the investee, the equity method is utilized. The next entry is made to reflect the receipt of dividends: Asset: $6,000 in cash $6,000 was invested in McDonough Ltd.
A dividend is the distribution of profits to shareholders by a firm. A corporation that makes a profit or has a surplus is permitted to pay out a portion of that earnings as a dividends to its shareholders.
Any money remaining after distribution is taken out and reinvested as retained profits in the business. As a result, both the profit from the current year and the investment retained earnings from earlier years are eligible for distribution. A firm is frequently not permitted to pay a dividend out of its capital.
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SOA Company issued bonds with the following information:
Par value P1,000
Coupon rate 12%
Years to maturity 6
Market rate 10%
Interest paid semiannually
Compute your holding period yield if purchase the bonds during issuance, and sold it after 3 years for P1,074.50.
The holding period yield, when purchasing the bonds during issuance and selling them after 3 years for P1,074.50, would be the resulting percentage of the calculation above.
What is the holding period yield if bonds with a par value of P1,000, a coupon rate of 12%, a maturity of 6 years, and a market rate of 10% are purchased during issuance and sold after 3 years for P1,074.50?To compute the holding period yield, we need to calculate the total return earned on the investment, considering the purchase price, sale price, coupon payments, and the holding period.
Par value = P1,000Coupon rate = 12%Years to maturity = 6Market rate = 10%Interest paid semiannuallyPurchase price = Par value (P1,000)Sale price = P1,074.50Holding period = 3 yearsFirst, let's calculate the coupon payment received each period:
Coupon payment = Par value ˣ Coupon rate / 2Coupon payment = P1,000 * 12% / 2Coupon payment = P60Next, calculate the total coupon payments received during the holding period:
Total coupon payments = Coupon payment * Number of periodsTotal coupon payments = P60 ˣ (6 ˣ 2) # 6 years with semiannual paymentsTotal coupon payments = P720Now, let's calculate the total return, which is the sum of the coupon payments and the gain or loss from selling the bond:
Total return = Total coupon payments + (Sale price - Purchase price)Total return = P720 + (P1,074.50 - P1,000)Total return = P794.50Finally, calculate the holding period yield as a percentage of the purchase price:
Holding period yield = (Total return / Purchase price) ˣ 100Holding period yield = (P794.50 / P1,000) * 100Learn more about holding period yield
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problem 9a: jones surgicenter uses 90,000 bags of iv solution annually. each bag costs the center $1.50, inventory carrying costs are 20 percent, and the cost of placing an order with the supplier is $15.assume 365 days in a year.what is the economic order quantity?
The economic order quantity (EOQ) is 3,675 bags. Economic Order Quantity (EOQ) is a formula used for calculating the optimal order quantity that a company should make to minimize the costs associated with ordering and holding inventory.
EOQ has a direct impact on inventory carrying costs, ordering costs, and total inventory costs. Problem 9 A:
The given data are as follows:
Annual Demand (D) = 90,000 bags
Ordering Cost (S) = $15
Cost per unit (C) = $1.50
Annual Holding
Cost per unit (H) = 20% = 0.20
Annual Demand (D) = 90,000 bags
Lead time (L) = 365 days.
EOQ formula : EOQ = √((2 DS) / H), where, D = Annual Demand
S = Ordering Cost
C = Cost per unit
H = Annual Holding Cost
EOQ = √((2 DS) / H)
EOQ = √((2 × 90,000 × 15) / 0.20)
EOQ = √(2,700,000 / 0.20)
EOQ = √13,500,000
EOQ = 3,674.23 ≈ 3675 (Approx) .Therefore, the economic order quantity (EOQ) is 3,675 bags.
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Question 2: Mr Ratnam is working as an engineer and received annual salary of RM280,000 for the year ended 31 December 2021. His wife, Puan Latha is a clerk with an annual salary of RM80,000. Being a senior management team, Mr Ratnam, received an entertainment allowance of RM1,000 a month. For the year 2021, he also received 2 months bonus for his excellent services to the company. Besides, Mr Ratnam also received the following benefits. Dental and Medical RM1.500 a year A new car worth RM80,000 Fully furnished house, rental RM 3,500 per month including furniture RM500 and a gardener. Parking allowance RM200 The couple has four children. Two of them are doing bachelor program and others are under 18 years old. They decided tax reliefs for their children will be claimed under Mr Ratnam. Mr Ratnam sent his youngest son in kindergarten with a monthly fee of RM400 a month. Mr Ratnam saved RM12,000 in the SSPN scheme for his children. He also contributed RM18,000 in EPF, paid educational insurance premium RM12,000 a year and medical insurance of RM2,000 a month for his children. He also bought life insurance for himself and paid premium of RM6,000 a year. As the only child, Mr Ratnam also taking care of his parents and paid RM9,000 for their medical expenses. In 2021, he bought books and journals worth RM800, a personal computer worth RM3,000 in September 2021 and he paid internet subscription of RM100 per month. He bought a golf set last year worth RM4,000. He also contributed RM400 for SOCSO. Every month, his tax deduction amounted to RM3,500 of his salary. Mr Ratnam went to Pulau Redang with his family in December 2021 and spent RM1,200 for hotel accommodation. Required: Calculate the tax payable for the year of assessment 2021 for Mr. Ratnam on the assumption that the couple file for separate assessment. (15M)
Calculation of Tax Payable for Mr. RatnamYearly Salary received by Mr. Ratnam = RM 280,000
Annual salary of Puan Latha = RM 80,000
Tax relief for each unmarried child for 2021 = RM 2,000
Entertainment allowance received by Mr. Ratnam = RM 12,000
Bonus for excellent services = RM 56,000Dental.
Medical benefits = RM 1,500
New car worth RM 80,000Fully furnished house,
rental = RM 3,500/month including furniture RM 500 and
gardenerParking allowance = RM 200
Monthly fee for Mr. Ratnam’s youngest son in kindergarten = RM 400
Saved in SSPN Scheme = RM 12,000Contributed to EPF = RM 18,000
Educational insurance premium paid = RM 12,000
Medical insurance paid for children = RM 2,000/monthLife insurance bought and
premium paid = RM 6,000Paid for parents’
medical expenses = RM 9,000Books and
journals bought = RM 800
Personal computer bought in September 2021 = RM 3,000
Internet subscription paid per month = RM 100
Golf set bought last year = RM 4,000
Contribution for SOCSO = RM 400
Tax deduction every month = RM 3,500
Spent for Pulau Redang vacation in December 2021 = RM 1,200
To calculate the tax payable, we need to first calculate the chargeable income.
Chargeable income = Annual Salary + Bonus + Other Benefits - DeductionsYearly Salary = RM 280,000
Entertainment allowance = RM 12,000
Bonus = RM 56,000
Dental and Medical benefits = RM 1,500
Car = RM 80,000
Furnished house rental = RM 3,500/month X 12 months = RM 42,000
Furniture = RM 500Gardener = RM 500/month X 12 months = RM 6,000
Parking allowance = RM 200/month X 12 months = RM 2,400
Tax relief for unmarried children = RM 2,000 X 2 = RM 4,000
Kindergarten monthly fee = RM 400/month X 12 months = RM 4,800
Savings in SSPN Scheme = RM 12,000
Contribution to EPF = RM 18,000
Educational insurance premium paid = RM 12,000
Medical insurance paid for children = RM 2,000/month X 12 months = RM 24,000
Life insurance bought and premium paid = RM 6,000
Parents’ medical expenses = RM 9,000
Books and journals = RM 800Personal computer bought = RM 3,000
Internet subscription paid per month = RM 100/month X 12 months = RM 1,200G
olf set = RM 4,000SOCSO contribution = RM 400/month X 12 months = RM 4,800
Total Deductions = RM 188,500
Chargeable Income = RM 280,000 + RM 12,000 + RM 56,000 + RM 1,500 + RM 80,000 + RM 42,000 + RM 500 + RM 6,000 + RM 2,400 - RM 4,000 - RM 4,800 - RM 12,000 - RM 18,000 - RM 12,000 - RM 24,000 - RM 6,000 - RM 9,000 - RM 800 - RM 3,000 - RM 1,200 - RM 4,000 - RM 4,800= RM 285,900
Tax payable for chargeable income below RM 250,000 = RM 285,900 × 8%
Tax payable for chargeable income from RM 250,000 to RM 400,000 = (RM 400,000 - RM 250,000) × 14% = RM 1,750
Tax Payable= RM 22,872
The tax payable for the year of assessment 2021 for Mr. Ratnam on the assumption that the couple file for separate assessment is RM 22,872. .
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Write a 2000 words paper discussing how Covid-19 has impacted the Financial Markets. Make sure to include 5 different market impacts (such as how it impacted the stock market, the bond market, the housing and mortgage market, exchange rates, etc.), present evidence/data for each and discuss the overall impacts in each market
COVID-19 IMPACT ON FINANCIAL MARKETS: The COVID-19 pandemic has been one of the most significant global health crises in recent history, and it has created substantial disruptions in financial markets worldwide. It has caused significant impacts on several different markets, including the stock market, bond market, mortgage market, exchange rates, and more. Below are five different market impacts and evidence/data of how the COVID-19 pandemic has impacted each market.
1. The Stock Market: The COVID-19 pandemic has had an enormous impact on the stock market, resulting in sharp declines in stock prices across the board. In the US, the Dow Jones Industrial Average (DJIA) plummeted to a historic low in March 2020, marking its worst one-day drop since the 1987 stock market crash. The pandemic caused significant uncertainty in the market, leading to investors' panic and a severe sell-off of stocks. Additionally, the COVID-19 pandemic has created significant economic challenges, with many businesses struggling to stay afloat, resulting in a decline in their stock prices.
2. The Bond Market: The bond market has also felt the impact of the COVID-19 pandemic, with government bonds, municipal bonds, and corporate bonds all experiencing significant changes. Interest rates dropped sharply in response to the pandemic, leading to a surge in demand for bonds. The Federal Reserve reduced interest rates, which resulted in the issuance of new bonds at lower yields. This led to an increase in bond prices, which is good news for investors holding bonds.
3. The Housing and Mortgage Market: The housing market has been impacted by the COVID-19 pandemic, with the pandemic's economic fallout leading to a decline in the real estate market. Many homeowners have struggled to keep up with their mortgage payments, leading to an increase in delinquencies and foreclosures. Additionally, a decline in home sales has resulted in lower home prices, which is a cause for concern for homeowners who were looking to sell.
4. Exchange Rates: The COVID-19 pandemic has had a significant impact on exchange rates. With the pandemic leading to a decline in global trade and a decrease in economic activity, many countries' currencies have experienced significant depreciation against other currencies. For example, the US dollar has seen a significant increase in value against other currencies due to the country's relative economic stability.
5. Commodities: The COVID-19 pandemic has had a significant impact on commodity prices, with many commodity prices dropping sharply. The decline in economic activity has resulted in a decrease in demand for commodities such as oil and gas. Additionally, supply chain disruptions have led to lower prices for many agricultural products, with farmers struggling to sell their crops.
Overall Impacts The COVID-19 pandemic has had a significant impact on financial markets worldwide, creating disruptions in the stock market, bond market, mortgage market, exchange rates, and commodity markets. While some markets have experienced a decline, others have seen an increase in demand. The overall economic impact of the COVID-19 pandemic remains unclear, but it is clear that financial markets worldwide will continue to be impacted for the foreseeable future.
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Jack's Drilling company borrowed $6800 for 75 days and paid $134.58 in interest. Find the rate of interest on the loan(to the nearest tenth of a percent). (A years has 365 days) 9.0% O 10.0% O 9.5% 9.
The rate of interest on the loan is 2.0%, none of the option match the calculated rate, option E is correct.
To find the rate of interest on the loan, we can use the formula:
Rate = (Interest / Principal) × (365 / Time)
Given:
Principal (P) = $6800
Interest (I) = $134.58
Time (T) = 75 days
Converting the time to years:
Time in years = Time in days / Number of days in a year
Time in years = 75 / 365
Now, let's calculate the rate:
Rate = ($134.58 / $6800) × (365 / 75)
Rate ≈ 0.0198
Converting to a percentage:
Rate ≈ 0.0198 × 100 ≈ 1.98%
Rounded to the nearest tenth of a percent, the rate of interest on the loan is 2.0%. Option E is correct.
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The complete question is:
Jack's Drilling company borrowed $6800 for 75 days and paid $134.58 in interest. Find the rate of interest on the loan(to the nearest tenth of a percent). (A years has 365
days)
A.9.0%
B.10.0%
C. 9.5%
D. 9.6%
E. None of the above
A monopolist manufacturer (M) sells its product to a downstream retailer (R) which then makes the final sale to the consumers at price p. Demand for the product is given by D(p) = 20-2p and the cost of production for M is given by C(q)= 2 + 2q.
1. Suppose M sells the product at a per-unit price of w to R. What are the equilibrium values of w, p, and q?
2. Concerned with the double marginalization problem, M offers a revenue sharing plan to R. According to the plan, M will sell R the good at marginal cost, and then it will collect 50% of R’s revenues. Find the equilibrium values of p and q.
3. Compute the profits of M and R under the above cases (a and b). Who benefits and who loses from the revenue sharing plan? Does the plan solve the double marginalization problem? Explain.
4. Now suppose that another retailer enters the downstream market and the two retailers compete in prices ( ala Bertrand Price competition as described in class). M sells its product at w, and then the retailers choose prices. Find the equilibrium values of w, q (total output) and p. Comment on the dilemma faced by the manufacturer. Propose a solution to solve the problem.
At equilibrium, the values are w = 2, p = 12.67, and q = 0.
1. To find the equilibrium values of w, p, and q, we need to consider the profit maximization of both the manufacturer (M) and the retailer (R). The manufacturer's profit is given by M = (w - C(q)) * q, and the retailer's profit is given by R = (p - w) * D(p). At equilibrium, both M and R maximize their profits.
First, we find the equilibrium quantity q by setting the derivative of M with respect to q equal to zero and solving for q:
M' = w - C'(q) = 0
w - 2 = 0
w = 2
Next, we substitute the value of w into the demand function D(p) and set the derivative of R with respect to p equal to zero to find the equilibrium price p:
R' = (p - 2) * (20 - 2p) = 0
p - 2 - 2p + 40 = 0
-3p + 38 = 0
p = 12.67
Finally, we substitute the values of w and p into the demand function D(p) to find the equilibrium quantity q:
D(p) = 20 - 2p
D(12.67) = 20 - 2(12.67)
D(12.67) = 20 - 25.34
D(12.67) = -5.34
q = 0 (since the demand is negative, there is no equilibrium quantity)
Therefore, at equilibrium, the values are w = 2, p = 12.67, and q = 0.
2. Under the revenue sharing plan, M sells the good to R at marginal cost (C(q)), and M collects 50% of R's revenues. To find the equilibrium values of p and q, we follow a similar approach as in case 1.
Setting M' = 0, we have:
w - 2 = 0
w = 2
Substituting w into the demand function D(p), we have:
D(p) = 20 - 2p
D(p) = 20 - 2(2)
D(p) = 20 - 4
D(p) = 16
Setting R' = 0, we have:
(p - 2) * D(p) = 0
(p - 2) * 16 = 0
16p - 32 = 0
p = 2
Finally, substituting the value of p into the demand function D(p), we find the equilibrium quantity q:
D(p) = 16
q = 16
Therefore, under the revenue sharing plan, the equilibrium values are p = 2 and q = 16.
3. To compute the profits of M and R under the two cases:
a. In case a, the profits of M are given by M = (w - C(q)) * q, where w = 2 and q = 0. Plugging in the values, M = (2 - 2) * 0 = 0. The profits of R are given by R = (p - w) * D(p), where p = 12.67 and w = 2. Plugging in the values, R = (12.67 - 2) * (20 - 2(12.67)) = 52.92.
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