(a) Debit Investment in Sherman Inc. Common Stock and credit Cash for the purchase price of $12,300.
(b) Debit Cash and credit Dividend Revenue for the dividend received, calculated as the number of shares (420) multiplied by the dividend per share ($3.50).
(c) No entry is required for the fair value adjustment if the Fair Value Adjustment account has a zero balance.
(a) To record the purchase of the investment, the journal entry would be:
Debit: Investment in Sherman Inc. Common Stock $12,300
Credit: Cash $12,300
This entry reflects the outflow of cash ($12,300) as Ivanhoe Corporation purchases 420 shares of Sherman Inc. common stock.
(b) To record the dividends received, the journal entry would be:
Debit: Cash (420 shares × $3.50) $1,470
Credit: Dividend Revenue $1,470
This entry recognizes the cash inflow from the dividends received on the Sherman Inc. common stock. The dividend revenue is calculated by multiplying the number of shares (420) by the dividend per share ($3.50).
(c) Since it is mentioned that the Fair Value Adjustment account has a zero balance, no entry is required for the fair value adjustment. The fair value adjustment is typically recorded when there are changes in the fair value of an investment, but in this case, no adjustment is necessary.
These journal entries accurately record the purchase of the investment, the dividends received, and the absence of a fair value adjustment for Ivanhoe Corporation's acquisition of Sherman Inc. common stock.
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A project requires the purchase (in year 0 ) of a machine for $454,000. The firm will depreciate the machine to zero salvage value over its life of 8 years. The project will also generate incremental revenue and expenses of $357,000 and $105,000 each of years 1 through 8 as well. The firm's marginal tax rate is 21%. What is the project's incremental cash flow in year 1 ? Round your answer to the nearest penny.
With the given information, the project's incremental cash flow in year 1 can be calculated as $225,000.
To calculate the project's incremental cash flow in year 1, we need to consider the revenue, expenses, and depreciation associated with the machine. In year 1, the project generates incremental revenue of $357,000 and incremental expenses of $105,000.
To determine the depreciation expense, we divide the initial cost of the machine ($454,000) by its useful life (8 years), which gives us an annual depreciation of $56,750. Since the machine is depreciated to zero salvage value over its life, the depreciation expense in year 1 is also $56,750.
To calculate the taxable income, we subtract the depreciation expense and incremental expenses from the incremental revenue: $357,000 - $105,000 - $56,750 = $195,250.
Next, we apply the marginal tax rate of 21% to the taxable income to find the tax liability: $195,250 * 0.21 = $40,999.50.
Finally, we calculate the incremental cash flow in year 1 by subtracting the tax liability from the taxable income: $195,250 - $40,999.50 = $154,250.50, rounded to $154,250.
Therefore, the project's incremental cash flow in year 1 is $225,000.
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Ecker Company reports $1,400,000 of net income and declares $196,000 of cash dividends on its preferred stock for the year. At year-end, the company had 340,000 weighted-average shares of common stock.
1. What amount of net income is available to common stockholders?
2. What is the company’s basic earnings per share (EPS)?
1. The company's basic earnings per share (EPS) is approximately $3.54.
2. The net income available to common stockholders is $1,204,000.
To calculate the net income available to common stockholders and the basic earnings per share (EPS), we need to consider the preferred dividends and the weighted-average shares of common stock. Here's how to calculate each:
1..Net Income Available to Common Stockholders:
Net income available to common stockholders is the net income after deducting the preferred dividends. Given that Ecker Company declared $196,000 of cash dividends on its preferred stock, we subtract this amount from the net income.
Net income available to common stockholders = Net income - Preferred dividends
Net income available to common stockholders = $1,400,000 - $196,000
Net income available to common stockholders = $1,204,000
Therefore, the net income available to common stockholders is $1,204,000.
2. Basic Earnings Per Share (EPS):
To calculate the basic EPS, we divide the net income available to common stockholders by the weighted-average shares of common stock.
Basic EPS = Net income available to common stockholders / Weighted-average shares of common stock
Given that the company had 340,000 weighted-average shares of common stock, we can now calculate the basic EPS.
Basic EPS = $1,204,000 / 340,000
Basic EPS = $3.54
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you are parking your hmmwv after completing your mission. which of the following will be the next action you take after bringing your vehicle to a complete stop?
After bringing the HMMWV (High Mobility Multipurpose Wheeled Vehicle) to a complete stop, the next action you would typically take depends on the specific situation and standard operating procedures (SOPs) followed by your organization or military unit. However, here are some common actions that might be taken:
1) Engage the parking brake:
Set the parking brake to ensure the vehicle remains stationary and doesn't roll away.
2) Shift to neutral or park:
Move the gear selector to the neutral position or park, depending on the transmission type of the vehicle.
3) Turn off the engine:
Switch off the engine to conserve fuel and prevent unnecessary noise or emissions.
4) Scan the surroundings:
Assess the immediate environment for any potential hazards or threats before exiting the vehicle.
5) Communicate with teammates:
Inform your teammates or passengers that you have arrived at the designated parking location and discuss the next steps or actions required.
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Computation - Utility Maximization with budget constraints (15pts) Mang Kanor went to a famous drug store owned by a famous actress droga de explorer on July 17,2022 . He would like to maximize his 800 php budget in a certain qty. of medicine and clothing. He is a senior citizen who is eligible on discounts during weekdays.
To maximize his 800 PHP budget, Mang Kanor needs to consider the prices of medicine and clothing, as well as any discounts he may be eligible for as a senior citizen on weekdays.
Let's assume the prices of medicine and clothing as follows:
- Price of medicine: M PHP per quantity
- Price of clothing: C PHP per quantity
Since Mang Kanor is a senior citizen and eligible for discounts on weekdays, let's assume he gets a discount of D% on his purchases.
To maximize his utility within the given budget, Mang Kanor needs to allocate his spending between medicine and clothing. Let's assume he buys Q units of medicine and P units of clothing.
The budget constraint equation is:
M * Q + C * P <= 800
To maximize utility, Mang Kanor needs to set up the utility function. Since the specific preferences are not mentioned, let's assume the utility function as follows:
U = Q^a * P^b where a and b are positive constants that determine the relative importance of medicine and clothing in Mang Kanor's preferences. To find the optimal allocation of Q and P, we need to solve the utility maximization problem subject to the budget constraint. Unfortunately, the values of a, b, M, C, and D are not provided in the question. Without this information, we cannot calculate the specific values for Q and P that would maximize Mang Kanor's utility within the given budget.
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A production line uses signs at specific points on the line to indicate when components or raw materials need to be replenished. This practice is an example of:
A. Kanban
B. Kaizen
C. FMEA
D. Gaslighting
E. Poka Yoke
The practice of using signs to indicate when components or raw materials need replenishment on a production line is an example of A. Kanban.
Kanban is a lean manufacturing technique that involves using visual signals, such as cards or signs, to control the flow of materials and production processes. It aims to improve efficiency, minimize waste, and optimize inventory management. By placing signs at specific points on the production line, the workers can easily identify when supplies are running low and take appropriate actions to replenish them. This helps to maintain a smooth and uninterrupted production flow.
The concept of Kanban originated from the Toyota Production System and has since been widely adopted in various industries worldwide. It promotes a pull-based system, where materials are replenished only when needed, based on actual demand. This helps to prevent overproduction and excess inventory, which can be costly and inefficient. By using visual signals like signs, Kanban enables quick communication and coordination among different teams or departments involved in the production process, facilitating a streamlined and responsive workflow.
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1. Consider the following cash flow payments: An income of $2000 at the end of year 2 , an income of $5000 at the end of year 4, an expense of $3000 at the end of year 8, and a final income of $4000 at the end of year 10. (a) Draw the cash flow diagram for the cash flow payments. (b) Write an expression: what is the present equivalent value of these payments over the 10 -year period assuming an interest rate of 10% per year. Just write down the expression like "e.g. P=1,000(P/F,4%,10)+ 2,500 (P/A, 4\%.,5) -4,000". You don't need to calculate the final numerical answer. (Hint: you can write out the present equivalent value for each cash flow, and then sum them up.)
The present equivalent value of these payments over the 10-year period assuming an interest rate of 10% per year is $7221.
(a) Cash flow diagram for the cash flow payments is shown below:
(b) The present equivalent value of these payments over the 10-year period assuming an interest rate of 10% per year is:
$P = 2000(P/F,10%,2) + 5000(P/F,10%,4) - 3000(P/F,10%,8) + 4000(P/F,10%,10)
$Where:
$P/F = \frac{1}{(1+i)^n}$
Thus, we have, $P = 2000(0.826) + 5000(0.683) - 3000(0.466) + 4000(0.386)
$Or,
$P = 1652 + 3415 - 1390 + 1544
$P = 7221
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Smoothies Unlimited is considering opening a smoothie bar in Mandeville. The first
expenditure is the $25,000,000 investment required to retrofit the location. Based on the
analysis, the probabilities are 0.25 that it will be extremely popular, 0.60 that it will be
moderately successful and 0.15 that it will not perform well.
If the smoothie bar is extremely popular, operating cash flows of $10 million at the end
of years 1, 2 and 3 will be expected. In that case, the company will expand the
business at the end of year 3 at a cost of $8,000,000. After the expansion, the
probabilities are 0.75 that the subsequent operating cash flows at the end of year 3 will
be $16,000,000 , 0.25 that they will be $10,000,000. Each of these cash flow streams
would continue in years 4 to 8.
If the smoothie bar is moderately successful, operating cash flows of $6 million per year
at the end of years 1 through 8 are expected.
If the smoothie bar is does not perform well, cash flows are expected to be $2,000,000
per year over the 8-year life of the project. If this is the case, Raw Foods will close the
smoothie bar at the end of the second year. $8 million of the original investment would
be recovered.
a) Draw a decision tree showing the decisions, outcomes and probabilities associated
with the new project. [5 marks]
b) Calculate the joint probability and NPV of each path of decision tree. Assume the
required rate of return is 17%. [20 marks]
c) Calculate the expected NPV of the entire project. [4 marks]
d) What is the value of the abandonment option? [3 marks]
e) Should the firm undertake the project? [2
a) The decision tree for the smoothie bar project would have three branches representing the three possible outcomes: extremely popular, moderately successful, and not performing well. Each branch would further branch out based on the subsequent decisions and probabilities associated with cash flows and expansion.
b) Joint probability and NPV calculations for each path would involve multiplying the probabilities along the path and discounting the cash flows to present value using the required rate of return. The NPV would be the sum of the present values of cash flows along the path.
c) The expected NPV of the entire project would be the weighted sum of the NPVs of each path, where the weights are the probabilities associated with each outcome.
d) The value of the abandonment option would be calculated by comparing the expected cash flows from abandoning the project at the end of the second year with the present value of those cash flows.
e) The decision to undertake the project would depend on the expected NPV. If the expected NPV is positive, it would indicate that the project is expected to generate a net profit, and therefore it would be advisable to proceed with the project.
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Which statement is NOT true about a general partnership;
a. all general partners are agents of the partnership;
b. all general partners have an equal right to participate in management;
c. a corporation can be a general partner;
d. there must be a written partnership agreement.
Which statement is NOT true about a general partnership;
c. a corporation can be a general partner.
The statement that is NOT true about a general partnership is option c. A corporation cannot be a general partner. In a general partnership, the partners are individuals, not entities like corporations. General partners are typically individuals who have personal liability for the partnership's debts and obligations. While a corporation can have ownership interests in a partnership as a limited partner, it cannot be a general partner with full participation in management and unlimited liability.
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Question 16 (1 point)
As part of her job, Tori is attempting to create a virtual-reality headset that will revolutionize the movie industry. So far, her three prototypes have failed. She is getting frustrated with her efforts and embarrassed by the office gossip about her. What is the best advice you can give Tori?
Question 16 options:
Consider moving on to a new, more achievable project
Isolate yourself from your coworkers to avoid feeling the shame of idle gossip.
Ask your supervisor or a trusted coworker to help you become confident
Write down what you have learned from your mistakes and get feedback from others.
Question 17 (1 point)
You have been invited to the eightieth birthday party of a close family friend. You know it is a sit-down dinner with limited seating. As soon as the invitation arrived, you let the hosts know you were happy to attend. Unfortunately, on the day of the party, you develop a mystery illness that includes a high fever and chills. What is the best way to proceed and maintain a good relationship with the party hosts?
Question 17 options:
Send someone else in your place.
Notify the host as early as possible and stay home.
Stop by the party to pay your respects, but leave once you inform the host of your illness.
Attend the party, but ask the host to accommodate your illness.
The best advice for Tori is to write down what she has learned from her mistakes and seek feedback from others. This will help her analyze the reasons behind the failure of her prototypes and gain valuable insights to improve her future attempts. By reflecting on her mistakes and gathering input from colleagues or supervisors, Tori can identify areas for improvement and refine her approach, increasing her chances of success in creating a revolutionary virtual-reality headset.
In the case of the eightieth birthday party, the best way to proceed and maintain a good relationship with the hosts is to notify them as early as possible and stay home. It is important to prioritize one's health and the well-being of others by avoiding potential transmission of illness. Informing the hosts in advance shows consideration and respect for their event planning, allowing them to make necessary arrangements. While it may be disappointing to miss the celebration, attending while ill or asking for accommodations could put others at risk and potentially strain the relationship with the hosts.
In conclusion, for Tori, reflecting on mistakes and seeking feedback can help her improve her virtual-reality headset project. By analyzing what went wrong and gaining insights from others, she can make necessary adjustments and increase her chances of success. In the case of the birthday party, prioritizing health and notifying the hosts early while staying home demonstrates consideration and preserves the relationship with the hosts.
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Question 4
Service ordering
Bayina is the operations manager of "Let's BayEat", a chain of themed restaurants. He has appointed you to review the current sales arrangements in his restaurants.
Restaurant Sales System
Orders for food and drinks are taken at the table (identified by number). The order is taken on carbon copy note pads which are numbered consecutively in each restaurant.
Once the order is confirmed with the customer the carbon pad is split into three. One copy is (1) passed to the chef and clipped to the pass (the point at which the food leaves the kitchen. The second copy is attached to a (2) numbered board representing the tables in the restaurant. A third copy is put on a (3) spike. These are sorted and put into a file each evening.
A similar arrangement is made for drinks with the first copy being placed on the bar for the information of the bar-tender. When the food or drinks are ready they are checked against the order at the pass (or the bar) and the order taken to the table by a waiter. The order slip is not retained. Further orders are treated in the same way. When the customer requests their bill, the cashier removes the carbon copies for their table from the numbered board and writes the details onto a pre-printed document. The cashier transfers the cost of food and drinks from a menu at the cash desk and adds up the bill. The customer will pay the bill and one copy is filed for later record keeping and checking of the till. Any errors in charging that are identified by the customer should be written onto the bill. Only the total amount of the bill is entered onto the till.
Required:
i. Prepare a data flow diagram that summarizes the system described in the case above. One for context level data flow diagram of revenue cycle and another one for level one data flow diagram of revenue cycle. (20 marks)
ii. Analyze the internal control weaknesses in the above system and critically suggest the necessary improvements to resolve the identified control weaknesses. (20 marks) (Total: 40 marks)
a) A data flow diagram (DFD) provides a visual representation of how data flows within a system. In the context level DFD of the revenue cycle for "Let's BayEat" restaurant chain, the main processes are depicted, including taking orders, preparing food and drinks, and handling payments. The DFD illustrates the interactions between the customers, waitstaff, kitchen, bar, cashier, and record-keeping functions.
b) In the level one DFD of the revenue cycle, more detailed processes are shown, such as order confirmation, order distribution to the kitchen and bar, order checking at the pass or bar, and bill generation and payment. This DFD presents a clearer understanding of the flow of information and materials within the system.
a) The context level DFD of the revenue cycle for "Let's BayEat" chain provides an overview of the system and its major components. It shows the high-level interactions between the various entities involved in the sales process, emphasizing the flow of information and materials from taking orders to recording payments. This DFD serves as a foundation for understanding the overall structure and functionality of the system.
b) The level one DFD delves deeper into the revenue cycle, presenting a more detailed breakdown of the processes and interactions within the system. It captures the specific activities involved in taking and confirming orders, distributing them to the appropriate departments (kitchen and bar), checking the prepared items against the orders, and generating bills for payment. This DFD helps in identifying the key steps and subprocesses within the revenue cycle, enabling a more comprehensive analysis of the system's functioning.
Analyzing the internal control weaknesses in the system, some potential issues can be identified. Firstly, the reliance on carbon copy note pads may lead to errors and loss of data if the copies get misplaced or damaged. Secondly, there is a lack of centralized record-keeping and a possibility of inefficiencies in sorting and filing the order slips. Additionally, the manual transfer of order details to a pre-printed document for billing purposes may introduce errors or omissions.
To address these control weaknesses, several improvements can be suggested. Implementing a digital order management system can enhance accuracy and efficiency. This system can include order-taking devices at the tables, automatically sending orders to the kitchen and bar, and generating digital records. Centralized electronic record-keeping can replace the physical filing and sorting process, ensuring better organization and easier retrieval of data. Integrating the billing process with the digital system can reduce manual data entry and minimize errors.
By implementing these improvements, "Let's BayEat" can enhance data accuracy, streamline processes, and improve overall control over the sales arrangements in their restaurants.
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Mr. Somil is working as an accounts executive for Tarak Shah & Company. He has to
record certain accounting transactions as on 30th March2021, so that he can move ahead
to close the books of accounts as on 31st March.
He is confused between realization concept of accounting and the matching concept of
accounting.
As an accounts manager, kindly help him in understanding these two, by-
- Defining the Meaning and purpose of both the concepts
- Suitable example/ situation for each concept highlighting the difference between these
concepts
Realization Concept of Accounting:
The realization concept, also known as the revenue recognition principle, is a fundamental accounting concept that determines when and how revenue should be recognized in the financial statements. According to this concept, revenue is recognized when it is earned and when it can be reliably measured. It is not necessarily tied to the actual receipt of cash.
The purpose of the realization concept is to ensure that revenue is recognized in the accounting period in which it is earned and that it is matched with the related expenses incurred to generate that revenue. This concept provides a basis for accurate and consistent reporting of revenue in the financial statements.
Example of Realization Concept:
Suppose a software development company completes a project for a client in March 2021. The company has fulfilled all its obligations under the contract, and the client has accepted the completed project. Even though the client has not yet made the payment, the software development company can recognize the revenue from the project in its financial statements for March 2021, following the realization concept.
Matching Concept of Accounting:
The matching concept, also known as the expense recognition principle, is another important accounting concept. It states that expenses should be recognized in the same accounting period as the related revenue they helped generate. This concept ensures that expenses are properly matched against the revenue they contributed to, providing a more accurate representation of the company's financial performance.
The purpose of the matching concept is to provide a systematic way of allocating and recognizing expenses in the accounting period in which they are incurred. By matching expenses with the related revenue, it helps in determining the net income or loss for the period more accurately.
Example of Matching Concept:
Continuing with the example of the software development company, let's assume that during the course of the project, the company incurred expenses such as salaries of developers, software licenses, and other project-related costs. To adhere to the matching concept, the company would recognize these expenses in the same accounting period (March 2021) in which it recognizes the revenue from the project. This ensures that the expenses are appropriately matched against the revenue, providing a clearer picture of the company's profitability for the period.
Difference between Realization Concept and Matching Concept:
The main difference between the realization concept and the matching concept is their focus:
Realization Concept: The realization concept primarily deals with the recognition of revenue. It focuses on determining the appropriate timing for recognizing revenue in the financial statements, based on the earned and measurable criteria. It does not necessarily require the receipt of cash.
Matching Concept: The matching concept primarily deals with the recognition of expenses. It focuses on aligning expenses with the related revenue they helped generate. By matching expenses against revenue in the same accounting period, it provides a more accurate representation of the company's financial performance.
In summary, the realization concept is concerned with revenue recognition, ensuring that revenue is recognized when earned and measurable. On the other hand, the matching concept is concerned with expense recognition, ensuring that expenses are matched with the related revenue in the same accounting period. Both concepts work together to provide a more accurate depiction of a company's financial position and performance.
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Mark has a Treasury bond with a par value of
$30,000
and a coupon rate of
4%.
The bond has
11
years to maturity. Mark needs to sell the bond and new bonds are currently carrying coupon rates of
6%.
At what price should Mark sell the bond?
Part 2
The price Mark should sell the bond at is
$enter your response here.
(Round to the nearest cent.)
Mark should sell the bond at a price of $24,391.35, which is the present value of its future cash flows discounted at the current market interest rate of 6%.
To calculate the price at which Mark should sell the bond, we need to use the present value formula. The present value of a bond can be calculated by discounting the future cash flows (coupon payments and par value) at the current market interest rate.
Given:
Par value of the bond = $30,000
Coupon rate = 4%
Years to maturity = 11 years
Current market interest rate (yield) = 6%
Using the present value formula for a bond, we can calculate the price as follows:
Price = (Coupon Payment / (1 + Yield)¹) + (Coupon Payment / (1 + Yield)²) + ... + (Coupon Payment + Par Value / (1 + Yield)ⁿ)
where,
Coupon Payment = Coupon Rate * Par Value / Number of coupon payments per year
Number of coupon payments per year = 2 (semi-annual payments for most Treasury bonds)
n = Number of years to maturity * Number of coupon payments per year
Calculating the price:
Coupon Payment = 0.04 * $30,000 / 2 = $600 (semi-annual coupon payment)
n = 11 * 2 = 22
Price = ($600 / (1 + 0.06)¹) + ($600 / (1 + 0.06)²) + ... + ($600 + $30,000 / (1 + 0.06)²²)
Using a financial calculator or spreadsheet, the calculated price is approximately $24,391.35. Hence, Mark should sell the bond at a price of $24,391.35.
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Take me to the text Hurley Johnson works as a janitor in a hotel and earns a wage rate of $17.00 per hour. He worked 152 hours during the month of June 2020. Johnson's payroll deductions include withheld income tax of 8% of total earnings, CPP of $120.35, El amounting to $40.83, and a monthly deduction of $30 for a charitable contribution. Calculate Hurley Johnson's gross pay and net pay for June 2020. Do not enter dollar signs or commas in the input boxes. Round your answer to 2 decimal places. Gross Pay =$ Net Pay =$
Hurley Johnson's gross pay for June 2020 is $2,584.00, calculated by multiplying his wage rate of $17.00 per hour by the number of hours worked (152). His deductions include income tax (8% of total earnings), CPP ($120.35), El ($40.83), and a monthly charitable contribution ($30).
To calculate Hurley Johnson's gross pay for June 2020, we multiply his wage rate of $17.00 per hour by the number of hours worked, which is 152.
Gross Pay = Wage Rate * Hours Worked
= $17.00 * 152
= $2,584.00
To calculate Johnson's net pay, we need to subtract his payroll deductions from his gross pay.
First, we calculate the total amount of income tax withheld by multiplying the total earnings (gross pay) by the income tax rate of 8%.
Income Tax Withheld = Gross Pay * Income Tax Rate
= $2,584.00 * 0.08
= $206.72
Next, we deduct the CPP, El, and monthly charitable contribution from the gross pay.
Total Deductions = CPP + El + Charitable Contribution
= $120.35 + $40.83 + $30.00
= $191.18
Net Pay = Gross Pay - Total Deductions - Income Tax Withheld
= $2,584.00 - $191.18 - $206.72
= $2,186.10
Therefore, Hurley Johnson's gross pay for June 2020 is $2,584.00, and his net pay is $2,186.10.
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Question 1
The following information has been extracted from Windhoek Manufacturers, a company that produces and sells cosmetics for the year ended 31 July 2022.
Actual Static budget Static budget
Units sold 40 000 30 000 20 000
N$ N$ N$
Revenue 2 360 000 1 800 000 1 200 000
Cost of sales (1 732 000) (1 290 000) (960 000)
Materials 760 000 600 000 470 000
Labour 632 000 450 000 300 000
Factory overhead 340 000 240 000 190 000
Gross profit 628 000 510 000 240 000
Period costs (348 800) (320 000) (290 000)
Selling and distributions 128 800 120 000 90 000
Administrative expenses 220 000 200 000 200 000
Operating income 279 200 190 000 (50 000)
REQUIRED:
1.1 Prepare a flexible budgeted statement for comprehensive incomes for 40 000 units using the above information from a static budget for 30 000 units showing clearly columns disclosing information for actual, flexed and variance. Total marks [25]
Here is a flexible budgeted statement for comprehensive income for 40,000 units using the information provided in the static budget for 30,000 units, with columns for actual, flexed, and variance:
| | Actual | Flexed | Variance |
|-----------------------------|------------------|-------------------|-----------------|
| Revenue | 2,360,000 | 2,100,000 | 260,000 |
| Cost of sales | (1,732,000) | (1,535,000) | (197,000) |
| Materials | (760,000) | (665,000) | (95,000) |
| Labour | (632,000) | (540,000) | (92,000) |
| Factory overhead | (340,000) | (330,000) | (10,000) |
| Gross profit | 628,000 | 565,000 | 63,000 |
| Period costs | (348,800) | (372,000) | 23,200 |
| Selling & dist. | 128,800 | 135,000 | (6,200) |
| Admin. expenses | 220,000 | 237,000 | (17,000) |
| Operating income | 279,200 | 193,000 | 86,200 |
Calculation for flexible budgeted statement:
To calculate the flexible budget amounts for each line item, the static budget amount is adjusted based on the increase in units sold.For example, revenue is calculated as 30,000/20,000 x 1,200,000 = 1,800,000 for static budget, and for 40,000 units it would be 40,000/30,000 x 1,800,000 = 2,400,000.Variances are calculated as the difference between actual results and the flexed budget.Learn more about budgeted statement: https://brainly.com/question/31357753
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In a process costing system costs are measured upon completion of each job.
True
False
False. In a process costing system, costs are not measured upon completion of each job. Instead, costs are accumulated and assigned to each production department.
In a process costing system, costs are allocated to each production department or process rather than to individual jobs. This is because process costing is typically used in situations where large quantities of identical or similar products are produced in a continuous flow.
Examples include industries such as chemical manufacturing, food processing, and oil refining. Under a process costing system, costs are accumulated and measured at various stages of production within each department or process.
This allows for the calculation of average costs per unit or equivalent units produced, which are then used to determine the cost of goods produced. The measurement of costs in a process costing system is done periodically, such as at the end of a specific accounting period, rather than upon completion of each individual job.
This approach provides a more accurate representation of the costs incurred in the production process and allows for better cost control and decision-making within each department or process.
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Which of the following would generally NOT increase shareholders' wealth?
A. receiving larger cash flows
B. receiving cash flows sooner rather than later
C. rapid growth in the overall economy
D. increased government regulation
Increased government regulation would generally NOT increase shareholders' wealth.
While receiving larger cash flows (option A), receiving cash flows sooner rather than later (option B), and rapid growth in the overall economy (option C) are factors that can positively impact shareholders' wealth, increased government regulation tends to have the opposite effect.
Government regulation can impose additional costs, restrictions, and compliance requirements on businesses. This can lead to decreased profitability and hinder a company's ability to generate higher cash flows and returns for shareholders. Increased regulation may result in higher operating expenses, reduced flexibility, and limited growth opportunities for businesses. These factors can negatively impact the value of a company's stock and ultimately decrease shareholders' wealth.
Therefore, among the given options, increased government regulation is the one that generally does not contribute to increasing shareholders' wealth.
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8. You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a T-bill with a rate of return of 0.05. What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.09 ?
9%=w 1 (12%)+(1−w 1 )(5%)
9%=12%w 1 +5%−5%w 1
4%=7%w 1w 1 =0.571−w 1 =0.43
0.57(12%)+0.43(5%)=8.99%.
To form a portfolio with an expected return of 0.09, you would need to invest approximately 57.1% of your money in the risky asset and the remaining 42.9% in the risk-free T-bill
This allocation is based on the equation 0.09 = 0.12w1 + 0.05(1 - w1), where w1 represents the weight or percentage of your investment in the risky asset.
The question asks for the percentages of money to be invested in the risky asset and the risk-free asset to achieve a portfolio with an expected return of 0.09. We can set up an equation based on the weighted average of the expected returns of the two assets. Let w1 represent the weight or percentage of your investment in the risky asset, and (1 - w1) represents the weight or percentage of your investment in the risk-free T-bill.
The equation becomes:
0.09 = 0.12w1 + 0.05(1 - w1)
Simplifying the equation gives:
0.09 = 0.12w1 + 0.05 - 0.05w1
0.04 = 0.07w1
w1 = 0.04 / 0.07 ≈ 0.571
Therefore, approximately 57.1% of your money should be invested in the risky asset, and the remaining 42.9% should be invested in the risk-free T-bill. This allocation will result in a portfolio with an expected return of 0.09, calculated as 0.57(12%) + 0.43(5%) = 8.99%.
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Question 2. Endogenous Labor Supply Suppose Olivia works for $10 /hour. Of the 80 non-sleep hours each Monday-Friday, she chooses how many to work and how many to devote to leisure. Her only source of income is from working, and her utility function is given by U(L,C)= 21ln(L)+21ln(C) where L is leisure and C is consumption. Let H denotes hours of work, and let the price of consumption be $1. 1) What is her budget constraint? 2) What is her optimal level of hours devoted to work? to leisure? 3) What is her optimal level of consumption? 4) Graph your results. Label appropriately including the x - and y-axis. 5) Now suppose that the government provides $100 of government benefits if Olivia works zero hours that is taxed at 50%(t=.5). What is the break-even point? Graph your results.
1. Olivia's budget constraint is given by C = 10H, where C is consumption, and H is hours of work. 2. Olivia's optimal level of hours devoted to work depends on her utility maximization. The optimal level of leisure can be determined by subtracting the hours of work from the total non-sleep hours. 3. Olivia's optimal level of consumption is determined by her utility maximization, considering the trade-off between consumption and leisure. 4. Graphing the results would involve plotting the consumption and leisure levels on the x-axis and y-axis, respectively, with appropriate labels. 5. If the government provides $100 of taxed benefits when Olivia works zero hours, the break-even point is the level of hours at which the utility gain from working equals the loss in benefits due to taxation. This can be graphically represented.
1. Olivia's budget constraint is given by C = 10H since her only source of income is from working at a rate of $10 per hour. The budget constraint represents the trade-off between consumption (C) and the number of hours worked (H).
2. Olivia's optimal level of hours devoted to work can be determined by maximizing her utility function U(L, C) = 21ln(L) + 21ln(C), where L is leisure and C is consumption. The optimal level of leisure can be obtained by subtracting the hours of work (H) from the total non-sleep hours (80 hours).
3. Olivia's optimal level of consumption can be determined by solving the utility maximization problem, considering the trade-off between consumption and leisure. The specific level will depend on Olivia's preferences and the parameters of the utility function.
4. Graphing the results would involve plotting the consumption (C) on the x-axis and leisure (L) on the y-axis. The graph can demonstrate the relationship between consumption, leisure, and utility, allowing for an analysis of Olivia's optimal choices.
5. If the government provides $100 of benefits that are taxed at a rate of 50% (t = 0.5) when Olivia works zero hours, the break-even point is the level of hours (H) at which the utility gain from working equals the loss in benefits due to taxation.
This break-even point can be determined by comparing the utility levels with and without work, accounting for the taxation effect. Graphically, the break-even point can be represented as the intersection of the utility curves for the two scenarios.
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Using the income elasticity of demand to characterize goods Data collected from the economy of Cardtown reveals that an 18% decrease in income leads to the following changes: - A 6% decrease in the quantity of chips demanded - A 17% increase in the quantity of spades demanded - A 29% decrease in the quantity of diamonds demanded on its income elasticity, indicate whether each good is a normal good or an inferior good.
Based on the given changes in quantity demanded in response to an 18% decrease in income, we can determine the income elasticity of demand for each good.
Chips: A 6% decrease in the quantity of chips demanded in response to an 18% decrease in income suggests a negative income elasticity. This indicates that chips are an inferior good in Cardtown's economy. As consumers' income decreases, they switch to consuming fewer chips and potentially opt for alternative, higher-quality snacks.
Spades: A 17% increase in the quantity of spades demanded in response to an 18% decrease in income implies a positive income elasticity. This suggests that spades are a normal good in Cardtown's economy. As consumers' income decreases, they are willing to spend a larger proportion of their reduced income on spades, indicating that it is a necessity or a preferred choice for them.
Diamonds: A 29% decrease in the quantity of diamonds demanded in response to an 18% decrease in income indicates a negative income elasticity. This implies that diamonds are also considered inferior goods in Cardtown's economy. As consumers' income decreases, their demand for diamonds decreases significantly, as they consider diamonds to be less essential or more luxury-oriented purchases.
Understanding the income elasticity of demand helps us analyze how changes in income affect consumers' demand for different goods. Normal goods are typically characterized by positive income elasticity, indicating that as income increases, demand for these goods also increases. Inferior goods, on the other hand, exhibit negative income elasticity, implying that as income increases, demand for these goods decreases as consumers switch to higher-quality or preferred alternatives.
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susan beal's recommendation about ____________ led to a campaign that lowered the sids death rate significantly in several countries.
Susan Beal's recommendation about placing infants on their backs to sleep led to a campaign that lowered the SIDS (Sudden Infant Death Syndrome) death rate significantly in several countries.
What is SIDS?Sudden Infant Death Syndrome (SIDS) refers to the sudden and unexpected death of an infant under one year of age, and it is often referred to as crib death. SIDS is a diagnosis of exclusion, which means it is only made when no cause of death can be found, despite a thorough investigation. SIDS deaths can occur in apparently healthy infants, and there is usually no warning sign. Therefore, it is difficult to prevent SIDS from occurring. However, there are some ways that parents can reduce the risk of SIDS in their infants, such as by placing them on their backs to sleep.
How Susan Beal's recommendation led to a campaign?Susan Beal was a researcher who found a correlation between SIDS and the position of the infant while sleeping. She observed that infants who slept on their stomachs had a higher risk of dying from SIDS than infants who slept on their backs. Beal's discovery led to a recommendation that infants should be placed on their backs to sleep. In response to this recommendation, health organizations around the world launched a campaign to raise awareness about SIDS and promote safe sleep practices for infants.
The campaign was successful, and the SIDS death rate significantly decreased in several countries. As a result, the practice of placing infants on their backs to sleep became widely accepted as the safest sleep position for infants.
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Explain a 600words essay on Bullwhip effect in supply
chain with examples.
The Bullwhip Effect in supply chains refers to the amplification of demand fluctuations as they move upstream, leading to increased inventory costs and inefficiencies. Examples include promotions causing spikes in demand and inaccurate demand forecasting.
Title:The Bullwhip Effect in Supply Chain: Causes, Consequences, and Examples
Introduction:The Bullwhip Effect refers to the amplification of demand fluctuations as they propagate upstream in a supply chain. This phenomenon can lead to increased inventory costs, inefficient operations, and poor customer service. Understanding the causes and consequences of the Bullwhip Effect is crucial for supply chain management to mitigate its adverse effects and enhance overall efficiency.Causes of the Bullwhip Effect:Demand forecasting: Inaccurate or distorted demand forecasts, based on limited information or excessive reliance on historical data, can magnify demand fluctuations.Order batching: Suppliers tend to consolidate and place orders in large batches, leading to uneven order patterns and increased variability.Price fluctuations: Promotions, discounts, or pricing strategies can induce consumers to buy in bulk, creating artificial demand spikes.Information delays: Delays in information transmission and communication between supply chain partners can cause misinterpretations and distortions of real-time demand signals.Consequences of the Bullwhip Effect:Inventory costs: Companies experience increased inventory holding costs as they strive to meet uncertain and fluctuating demand, resulting in excess or inadequate stock levels.Stock outs and shortages: Variability in demand can lead to stock outs, affecting customer satisfaction and loyalty.Production inefficiency: Frequent demand fluctuations require manufacturers to constantly adjust production schedules, leading to inefficiencies, idle capacity, and increased production costs.Supply chain disruptions: The Bullwhip Effect can trigger disruptions throughout the supply chain, affecting suppliers, manufacturers, and distributors.Examples of the Bullwhip Effect:Retail industry: During holiday seasons or promotional events, retailers offer significant discounts to attract customers. This often results in increased demand, causing retailers to place large orders with suppliers. However, once the promotion ends, demand drops sharply, leaving excess inventory and straining the supply chain.Automotive industry: In response to customer demand for customization, automotive manufacturers often offer a wide range of options and configurations. However, this leads to increased variability in demand and the need for specialized parts, resulting in suppliers experiencing amplified fluctuations and increased lead times.Electronics industry: Rapid technological advancements and shorter product lifecycles contribute to demand uncertainty. When new product launches generate high consumer interest, manufacturers tend to overestimate future demand, causing suppliers to face exaggerated demand variations and challenges in meeting fluctuating requirements.Conclusion:The Bullwhip Effect is a significant challenge in supply chain management, causing inefficiencies and increased costs. By identifying its causes and understanding its consequences, companies can adopt strategies to minimize the impact. Collaborative planning, accurate demand forecasting, information sharing, and reducing order batching can help mitigate the Bullwhip Effect, leading to a more efficient and responsive supply chain that benefits both businesses and customers alike.For more such questions on Bullwhip Effect
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Consider the static limit pricing model with no strategic behavior. Under what circumstances does this model predict that there will be no entry? (30 words maximum. My model answer is six words.) Give a quick example of how a firm might become a monopoly without violating the 'rule of reason.' (30 words max. My model answer is 7 words.)
No entry occurs when the potential entrant expects to earn zero or negative profits at the limit price set by the incumbent firm in the static limit pricing model.
A firm can become a monopoly without violating the "rule of reason" if it gains a dominant market position through natural means, such as superior technology, innovation, or efficiency, rather than engaging in anticompetitive practices or illegal behavior.
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Which of the following statements is false? Internal audit consulting enriches value adding internalautiting: Many audit services will have both an assurance and conssilizative role.
The false statement is: "Internal audit consulting enriches value-adding internal auditing." The correct answer is option A.
Internal audit consulting does not directly enrich value-adding internal auditing. While internal audit consulting can provide valuable insights and recommendations to enhance internal auditing processes, it is not the primary driver of value addition.
Value-adding internal auditing focuses on improving organizational effectiveness, efficiency, risk management, and governance through objective assessments and independent evaluations.
Internal audit services typically have both an assurance and consultative role. The assurance role involves providing independent and objective assessments of the organization's controls, processes, and risk management practices.
The consultative role involves offering recommendations, guidance, and advisory services to help the organization improve its operations, mitigate risks, and achieve its objectives effectively.
In summary, while internal audit consulting can contribute to value-adding internal auditing, it is not the sole factor responsible for enriching value. The primary focus of value-adding internal auditing is on improving organizational performance, risk management, and governance.
Hence, Option A is correct.
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A grocery store who has rather senerafized, homogeneous products with a global integration focus rather than a national responsiveness focus, then this type of decision making is called for Centralized Decentrafized Internal External
When a grocery store with standardized, homogeneous products and a global integration focus opts for decision making, it is referred to as centralized decision making.
Centralized decision making is a management approach where the authority to make important decisions is concentrated at the top level of the organizational hierarchy. In the context of a grocery store with standardized, homogeneous products and a global integration focus, centralized decision making would involve centralizing the decision-making power at the corporate or head office level rather than dispersing it to individual stores or regional managers.
This approach is suitable when the products offered by the grocery store are standardized and have consistent quality, packaging, and branding across locations. By centralizing decision making, the grocery store can ensure uniformity and maintain control over product offerings, pricing, promotions, and other strategic decisions. It allows for streamlined processes, efficient coordination, and the ability to implement a standardized approach across the entire organization.
Moreover, with a global integration focus, the centralized decision-making approach enables the grocery store to align its strategies and operations on a global scale, ensuring consistency and coherence in its approach across different markets or regions. This facilitates effective integration of resources, supply chains, and marketing efforts to achieve economies of scale and maximize operational efficiency.
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which control would best mitigate the following threats:
a. A batch of 106 invoices were sent to the accounts payable department for weekly processing. one of the invoices did not get processsed. The error was not detected untill the supplier called to followup their unpaid invoice.
b. An accounts payable file was destroyed because it was accidentely used to update accounts receivable.
c. During the payment of a supplier invoice the number zero in the total of $63209 was incorrectly types as the letter O. As a result, the payment was not processed corectly and the organisation received a letter from the supplier refusing future supply of goods untill the invoice was paid.
d. A purchasing officer of a large goverment department mistakenly ordered 1000 printers rather than 1000 printer cartridge.
A control that would best mitigate the following threat would be internal auditing. A control that would best mitigate this threat would be segregation of duties. A control that would best mitigate the following threat would be data entry controls. A control that would best mitigate this threat would be purchase order verification.
a. A control that would best mitigate the following threat would be internal auditing. This control is used to review records and transactions for accuracy and completeness. It would be useful to ensure that all invoices are processed on time and to check for errors before they become problems.
b. A control that would best mitigate this threat would be segregation of duties. It separates the responsibilities for updating accounts payable and accounts receivable files. This reduces the risk of errors caused by a single person.
c. A control that would best mitigate the following threat would be data entry controls. They are used to verify the accuracy of data entered into computer systems. They can include such things as double-entry accounting, checksums, and verification codes. They would help prevent errors such as typing the letter O instead of the number zero.
d. A control that would best mitigate this threat would be purchase order verification. This involves checking the details of the purchase order to ensure that it accurately reflects the requirements of the organisation. It would help prevent the purchasing officer from ordering the wrong item.
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You are asked to price a fully discrete 4-year term insurance policy for a policyholder aged x :
The death benefit is 1000 payable at the end of the year of death.
The gross annual premium is G payable for two years.
You have decided to use the following assumptions to price the policy:
qx+k=0.05 for k≥0
i=10%
Annual expenses are 10% of each premium.
Profit loading is equal to 5% of each premium.
(a) Determine G using the equivalence principle, including the profit loading.
(b) Determine the gross premium reserve at time k=0,1,2,3,4 , including the profit loading.
Hint: Use the recursive formula.
The regulator requires the insurer to hold 2 times the gross premium reserves you have calculated in (b).
(c) Explain the rationale of the regulator’s requirement and calculate the required gross premium reserves the insurer is to hold.
(d) Calculate the profit vector Prk for k=0,1,2,3,4 .
(e) Calculate the profit margin at a hurdle rate r=12% .
To solve this problem, I'll break it down into the provided steps(a) Determine G using the equivalence principle, including the profit loading.
The equivalence principle states that the present value of premiums paid should be equal to the present value of benefits expected to be paid out. Let's calculate G using this principle:
PV(Premiums) = PV(Death Benefit)
G + G/(1+i) = 1000/(1+i)^4
1.05G = 1000/(1.1)^4
G ≈ 1000/(1.1)^4 * (1/1.05) ≈ $747.63
(b) Determine the gross premium reserve at time k=0,1,2,3,4, including the profit loading.
We'll use the recursive formula to calculate the gross premium reserve at each time period:
GPV(k) = GPV(k-1) + G - EP - PL
Where:
GPV(k) = Gross premium reserve at time k
EP = Annual expenses (10% of each premium)
PL = Profit loading (5% of each premium)
For k=0:
GPV(0) = G - EP - PL = $747.63 - 0.1 * $747.63 - 0.05 * $747.63 = $747.63 * 0.85 = $635.48
For k=1:
GPV(1) = GPV(0) + G - EP - PL = $635.48 + $747.63 - 0.1 * $747.63 - 0.05 * $747.63 = $635.48 + $747.63 * 0.85 = $1262.66
For k=2:
GPV(2) = GPV(1) + G - EP - PL = $1262.66 + $747.63 - 0.1 * $747.63 - 0.05 * $747.63 = $1262.66 + $747.63 * 0.85 = $1889.83
For k=3:
GPV(3) = GPV(2) + G - EP - PL = $1889.83 + $747.63 - 0.1 * $747.63 - 0.05 * $747.63 = $1889.83 + $747.63 * 0.85 = $2517.00
For k=4:
GPV(4) = GPV(3) + G - EP - PL = $2517.00 + $747.63 - 0.1 * $747.63 - 0.05 * $747.63 = $2517.00 + $747.63 * 0.85 = $3144.17
(c) Explain the rationale of the regulator’s requirement and calculate the required gross premium reserves the insurer is to hold.
The regulator requires the insurer to hold 2 times the gross premium reserves calculated in part (b). This requirement ensures that the insurer has sufficient funds to meet its obligations to policyholders. By holding 2 times the reserves, the regulator aims to provide a safety margin to cover any unforeseen events or losses that may arise.
The required gross premium reserves for the insurer to hold are:
Required GPV(k) = 2 * GPV(k) (for each k from 0 to 4)
For k=0: 2 * $635.48 = $1270.96
For k=1: 2 * $1262.66 = $2525.32
For k=2: 2 * $1889.83 = $
3779.66
For k=3: 2 * $2517.00 = $5034.00
For k=4: 2 * $3144.17 = $6288.34
(d) Calculate the profit vector Prk for k=0,1,2,3,4.
The profit vector (Prk) represents the profit earned by the insurer at each time period. It can be calculated as the difference between the gross premium reserve at the beginning and end of each period:
Prk = GPV(k) - GPV(k-1)
For k=0: Pr0 = GPV(0) - GPV(-1) (No previous period exists, so assume GPV(-1) = 0)
Pr0 = $635.48 - $0 = $635.48
For k=1: Pr1 = GPV(1) - GPV(0)
Pr1 = $1262.66 - $635.48 = $627.18
For k=2: Pr2 = GPV(2) - GPV(1)
Pr2 = $1889.83 - $1262.66 = $627.17
For k=3: Pr3 = GPV(3) - GPV(2)
Pr3 = $2517.00 - $1889.83 = $627.17
For k=4: Pr4 = GPV(4) - GPV(3)
Pr4 = $3144.17 - $2517.00 = $627.17
(e) Calculate the profit margin at a hurdle rate r=12%.
The profit margin represents the profitability of the policy at the hurdle rate, which is the minimum required rate of return.
Profit margin at hurdle rate r = Pr0 / (1 + r)^0 + Pr1 / (1 + r)^1 + Pr2 / (1 + r)^2 + Pr3 / (1 + r)^3 + Pr4 / (1 + r)^4
Profit margin at r=12% = $635.48 / (1 + 0.12)^0 + $627.18 / (1 + 0.12)^1 + $627.17 / (1 + 0.12)^2 + $627.17 / (1 + 0.12)^3 + $627.17 / (1 + 0.12)^4
After evaluating the above expression, you can calculate the profit margin at the hurdle rate of 12%.
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Matthew received an invoice for $4,000 that had payment terms of 3/15 n/45. She made a partial payment of $2,000 during the discount period.
a. Calculate the amount credited.
Round to the nearest cent
b. Calculate the balance on the invoice after the partial payment was made.
Round to the nearest cent
A). the amount credited for the partial payment is $60. B). the balance on the invoice after the partial payment was made is $1,940
a. To calculate the amount credited for the partial payment, we need to consider the payment terms of 3/15 n/45.
The first number in the payment terms, "3," represents the discount percentage. The second number, "15," represents the number of days within which the discount is available.
In this case, since Matthew made a partial payment of $2,000 during the discount period, we need to calculate the discount amount.
Discount Amount = Payment Amount * Discount Percentage
Discount Amount = $2,000 * (3/100)
Discount Amount = $60
Therefore, the amount credited for the partial payment is $60.
b. To calculate the balance on the invoice after the partial payment was made, we need to subtract the partial payment and the discount amount from the original invoice amount of $4,000.
Balance = Original Invoice Amount - Partial Payment - Discount Amount
Balance = $4,000 - $2,000 - $60
Balance = $1,940
Therefore, the balance on the invoice after the partial payment was made is $1,940
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Suppose you are trying to decide whether you want to undertake a R&D project. The initial investment is $100 million. The upcoming costs are uncertain and there are three possibilities that are equally likely:
Low cost (of $150 million)
Medium cost (of $260 million)
High cost (of $350 million)
The expected revenue is going to be $350 million the same year the project is initiated.
The initial investment of $100 million allows you to learn if the cost will be high, medium or low, and allows you make the investment only if it is profitable to invest. If not you abandon the project.
Find the NPV of the project with this embedded optionality. Interest rate is 0%.
options:
- -5 million
- -3.3 million
- 93.3 millon
- 0
Option A
The NPV of the project with this embedded optionality is -5 million dollars.
Suppose that the probability of occurrence is equal for all possibilities.
Therefore, P = 1/3 for each possibility.
Low cost (of 150 million)
Medium cost (of 260 million)
High cost (of 350 million)
The expected revenue is 350 million for the year the project is initiated.
The net present value (NPV) of the project is calculated using the following formula:
NPV = [(Probability of low cost * NPV of low cost) + (Probability of medium cost * NPV of medium cost) + (Probability of high cost * NPV of high cost)] - Initial investment.
P = 1/3, 100 million = 33.33 million.
Probability of low cost = Probability of medium cost = Probability of high cost = 1/3.
NPV of low cost = 350 million - 150 million
= 200 million.
NPV of medium cost = 350 million - 260 million
= 90 million.
NPV of high cost = 350 million - 350 million
= 0.
NPV = [(1/3 * 200 million) + (1/3 * 90 million) + (1/3 * 0)] - 100 million
= -5 million.
Therefore, the NPV of the project with this embedded optionality is -5 million.
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An investor holds 100 three-year zero coupon bonds with a face value of £100 which each trade for £92.5. The investor wants to use a one-year zero coupon bond, face value £100, which trades at £95 and a five-year zero-coupon bond with a face value of £200, which trades at £180, to immunise the portfolio.
a) How many one-year bonds and how many five-year bonds should the investor buy or short to immunize the portfolio using both duration and convexity of the bonds?
b) Suppose that the one-year discount factor falls to 0.94106, the three-year discount factor declines to 0.89848 and the five-year discount factor falls to 0.857204. Calculate the portfolio's value of 1-year, 3-year and 5-year bonds before and after the change in interest rates and explain why the immunisation is not perfect. (Ignore rounding errors).
c) If the investors has shorted the one-year and the five-year bonds where has she invested the money received? Why has she chosen these forms of assets?
a) Buy 104 one-year bonds and short 50 five-year bonds to immunize the portfolio. b) Before: 1-year: £9,500, 3-year: £8,598.25, 5-year: £15,429.672. Immunization is imperfect due to changed discount factors c) Shorted bonds and invested in low-risk assets like money market instruments or short-term bonds.
a) To immunize the portfolio using both duration and convexity, the investor needs to determine the weights of the one-year and five-year bonds in the portfolio. Let's denote the number of one-year bonds as x and the number of five-year bonds as y.
Using duration matching, the duration of the portfolio is given by:
Duration of Portfolio = (x * Duration of One-Year Bond) + (y * Duration of Five-Year Bond)
To minimize the portfolio's convexity, the convexity of the portfolio is given by:
Convexity of Portfolio = (x * Convexity of One-Year Bond) + (y * Convexity of Five-Year Bond)
By setting the duration and convexity of the portfolio equal to zero, the investor can solve the equations to find the values of x and y that immunize the portfolio.
b) Before the change in interest rates:
Value of 1-Year Bonds = 100 * £95 = £9,500
Value of 3-Year Bonds = 100 * £92.5 * 0.89848 = £8,598.25
Value of 5-Year Bonds = 100 * £180 * 0.857204 = £15,429.672
After the change in interest rates:
Value of 1-Year Bonds = 100 * £95 * 0.94106 = £8,939.27
Value of 3-Year Bonds = 100 * £92.5 * 0.89848 = £8,598.25
Value of 5-Year Bonds = 100 * £180 * 0.857204 = £15,429.672
Immunization is not perfect because the change in interest rates affects the present value of future cash flows. Although the portfolio's duration and convexity are matched initially, the change in discount factors leads to a discrepancy between the expected and actual values of the bonds.
c) If the investor has shorted the one-year and five-year bonds, the money received from the short sale is invested in other assets. The specific assets chosen would depend on the investor's strategy and preferences. Common choices for short-term investments include money market instruments, Treasury bills, or short-term bonds. These forms of assets are chosen because they typically offer low risk and liquidity, allowing the investor to maintain capital while waiting for other investment opportunities or to meet short-term cash needs.
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Select some possible reasons for an unfavorable direct manufacturing labor efficiency variance.
A. Poor maintenance of machines resulting in a high proportion of non-value-added labor.
B. Inefficient scheduling of work so that the workforce was not optimally occupied.
C. Hiring and use of underskilled workers.
D. All of the above
All of the options (option D) can be possible reasons for an unfavorable direct manufacturing labor efficiency variance.
A. Poor maintenance of machines resulting in a high proportion of non-value-added labor: If the machines used in the manufacturing process are not properly maintained, they may experience breakdowns, require frequent repairs, or operate at suboptimal levels. This can lead to increased downtime and non-value-added labor, where workers are not actively engaged in productive tasks. Consequently, the direct manufacturing labor efficiency can be negatively impacted.
B. Inefficient scheduling of work so that the workforce was not optimally occupied: If the work scheduling is inefficient, it may result in periods of underutilization or idle time for the workforce. This can occur due to inadequate planning, poor coordination, or mismatched workloads. When workers are not optimally occupied with productive tasks, it can lead to a decrease in direct manufacturing labor efficiency.
C. Hiring and use of underskilled workers: If the workforce consists of underskilled or inadequately trained workers, they may struggle to perform tasks efficiently and effectively. This can result in slower work pace, increased errors, rework, or the need for additional supervision. The lack of skills or training can negatively impact direct manufacturing labor efficiency and contribute to an unfavorable variance.
Therefore, all of the options (option D) can contribute to an unfavorable direct manufacturing labor efficiency variance, as they reflect potential issues related to machine maintenance, work scheduling, and the competence of the workforce.
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