The fundamental difference between internal and external auditing is that Internal and external auditors are different from each other in their methods and approach. The Correct option is A
What is internal auditing?Internal auditing is the process of assessing and monitoring a company's risk management and control processes. Internal auditors provide an objective assessment of a company's performance, risk management strategies, and the effectiveness of its internal controls. Internal auditors are hired and employed by the company they audit, and they primarily serve the interests of the organization and its management. Their goal is to ensure that the company's internal controls and risk management processes are functioning as intended. The Correct option is A
External auditing, on the other hand, is an independent assessment of a company's financial statements and internal controls. External auditors are not affiliated with the company being audited and represent the interests of outside stakeholders, such as shareholders, regulatory agencies, and the public. External auditors examine the accuracy of a company's financial statements and assess whether they adhere to generally accepted accounting principles (GAAP). They also evaluate the effectiveness of a company's internal controls and risk management processes to identify any significant risks or control deficiencies. The Correct option is A
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Critically assess and compare the differences between
‘macroeconomics’ and ‘microeconomics’.
Fully motivate your answer and give examples clearly showing the
difference between macroeconomics
Macroeconomics refers to the branch of economics that deals with the performance, decision-making, structure, and behavior of the entire economy or nation as a whole, whereas microeconomics is a branch of economics that studies how individuals and firms make decisions and how they interact in markets in a particular industry or sector.
Macroeconomics is concerned with the overall picture of a country's economic activity, including the size of the economy, inflation, unemployment, and economic growth. It focuses on the behavior and decisions of governments, central banks, and other large institutions. It deals with the entire economy as a whole, unlike microeconomics, which focuses on individual components of the economy.
Microeconomics, on the other hand, focuses on the behavior of individuals and firms in a particular industry or sector. It examines the decisions that individuals and firms make regarding production, consumption, and pricing. It considers the ways in which individuals and firms interact and the impact of their actions on prices and quantities in the market. The following are some of the key differences between macroeconomics and microeconomics: Scope: Macroeconomics studies the entire economy, whereas microeconomics examines individual components of the economy, such as individual industries and markets. Variables: Macroeconomics considers aggregate variables such as gross domestic product (GDP), inflation, and unemployment, while microeconomics looks at variables such as prices, wages, and individual market demand and supply. Macroeconomics is based on theories such as Keynesianism, monetarism, and supply-side economics, while microeconomics is based on theories such as utility maximization and profit maximization. Motivation: The motivation for studying macroeconomics is to understand the overall health of the economy and its performance, while the motivation for studying microeconomics is to understand how individual actors make decisions and interact in markets. Example of the difference between macroeconomics and microeconomics: An example of the difference between macroeconomics and microeconomics is in the study of inflation. Macroeconomics would be concerned with the overall level of inflation in the economy, including its causes and consequences, while microeconomics would be concerned with the impact of inflation on individual markets and industries. For example, microeconomics would examine how inflation affects the pricing and production decisions of a particular firm in a particular industry.
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Getrich has 1.9 million shares outstanding and a current share price of $3.1 per share. It also has $77.2 million in outstanding debt, with a debt cost of capital of 6.0%. Getrich’s equity cost of capital is 16.1%. If the corporate tax rate is 31.8%, what is Getrich's weighted average cost of capital? Round your answer to two decimal places in percentage form.
Getrich's weighted average cost of capital (WACC) is 4.78%.
The weighted average cost of capital (WACC) is calculated by taking into account the proportion of equity and debt in the company's capital structure, as well as their respective costs of capital. To calculate the WACC for Getrich, we need to follow these steps:
Calculate the market value of equity:
Market value of equity = Number of shares outstanding × Share price
Market value of equity = 1.9 million shares × $3.1 per share = $5.89 million
Calculate the market value of debt:
Market value of debt = Outstanding debt
Market value of debt = $77.2 million
Calculate the proportion of equity and debt in the capital structure:
Proportion of equity = Market value of equity / (Market value of equity + Market value of debt)
Proportion of equity = $5.89 million / ($5.89 million + $77.2 million) = 0.0702
Proportion of debt = Market value of debt / (Market value of equity + Market value of debt)
Proportion of debt = $77.2 million / ($5.89 million + $77.2 million) = 0.9298
Calculate the cost of equity after tax:
Cost of equity after tax = Equity cost of capital × (1 - Tax rate)
Cost of equity after tax = 16.1% × (1 - 31.8%) = 11.00%
Calculate the after-tax cost of debt:
After-tax cost of debt = Debt cost of capital × (1 - Tax rate)
After-tax cost of debt = 6.0% × (1 - 31.8%) = 4.09%
Calculate the WACC:
WACC = (Proportion of equity × Cost of equity after tax) + (Proportion of debt × After-tax cost of debt)
WACC = (0.0702 × 11.00%) + (0.9298 × 4.09%) = 4.78%
Therefore, Getrich's weighted average cost of capital (WACC) is 4.78%.
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beginning work in process are 40,000 units and units started this period are 20,000 units. the total units to account for using the fifo method are
To determine the total units to account for using the FIFO (First-In, First-Out) method, we need to consider the units that were already in process at the beginning of the period and the units started during the period.
Given:
Beginning Work in Process = 40,000 units
Units Started this Period = 20,000 units
Using the FIFO method, we prioritize the units that were already in process at the beginning of the period and account for them first. Then we account for the units started during the period.
Therefore, the total units to account for using the FIFO method would be the sum of the beginning work in process and the units started this period:
Total Units to Account For = Beginning Work in Process + Units Started this Period
= 40,000 units + 20,000 units
= 60,000 units
Hence, the total units to account for using the FIFO method are 60,000 units.
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QUESTION 9 "Whistle-blowing" is more likely to occur when employees: fear that voicing their ethical concerns to management will result in punishment. are paid by newspapers or television stations to
"Whistle-blowing" is more likely to occur when employees fear that voicing their ethical concerns to management will result in punishment. This is because whistle-blowing involves reporting misconduct within an organization to external parties the media.
Employees may choose to blow the whistle when they believe that internal channels for reporting concerns are ineffective or when they fear retaliation or negative consequences for speaking up within the organization. On the other hand, the statement that employees are paid by newspapers or television stations to blow the whistle is not a common characteristic associated with whistle-blowing.
While some media outlets may provide financial incentives for individuals to share information or provide tips, the act of whistle-blowing itself is driven more by ethical concerns, a sense of responsibility, or the desire to expose wrongdoing, rather than monetary compensation.
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Under what conditions is an accrual-basis taxpayer allowed to defer reporting amounts received in the advance of the delivery of goods?
An accrual-basis taxpayer may defer reporting amounts received in advance of goods delivery when there is a bona fide obligation to deliver the goods, they are not readily available, and delivery is expected within a specific time frame.
How can an accrual-basis taxpayer defer reporting amounts received in advance of goods delivery?Under the accrual accounting method, taxpayers generally recognize income when it is earned, regardless of when the cash is received. However, there are certain conditions under which an accrual-basis taxpayer may be allowed to defer reporting amounts received in advance of the delivery of goods. These conditions are typically governed by the rules outlined in the Internal Revenue Code (IRC) and its accompanying regulations. Here are a few common situations:
1. Advance payments for goods: If an accrual-basis taxpayer receives advance payments for goods, the taxpayer may be allowed to defer recognizing the income until the year of delivery if certain requirements are met. These requirements include ensuring that the taxpayer has a bona fide obligation to deliver the goods, the goods are not readily available, and there is a reasonable expectation that the goods will be delivered within a specified time frame.
2. Long-term contracts: For long-term contracts, such as construction projects or manufacturing contracts, accrual-basis taxpayers may be permitted to defer recognizing income until the contract is completed or reaches a certain stage of completion. The taxpayer must use the percentage-of-completion method or the completed-contract method to determine the appropriate amount of income to recognize.
3. Subscription sales: If a taxpayer sells subscriptions or memberships that cover a period extending beyond the end of the tax year, the taxpayer may defer recognizing the income until the following tax year. This is allowed if the taxpayer meets specific criteria, such as having a consistent policy of deferring subscription income and not recognizing it until the applicable goods or services are provided.
It's important to note that the specific rules and requirements for deferring income may vary depending on the nature of the business and the applicable tax regulations. Therefore, it's advisable to consult with a qualified tax professional or review the relevant tax laws to ensure compliance with the specific conditions for deferral in a particular situation.
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office supplies on hand at the end of the year totaled . the beginning balance of office supplies was
The equation is as follows: Ending balance = Beginning balance + Purchases − Usage.
At the end of the year, the total office supplies on hand should be equal to the beginning balance plus any office supplies that have been purchased and minus any office supplies that have been used. Thus, the equation is as follows:
Ending balance = Beginning balance + Purchases − Usage. If we assume that the ending balance is known, as stated in the question, then we can solve for the beginning balance using the same equation:
Beginning balance = Ending balance − Purchases + Usage. Thus, to calculate the beginning balance of office supplies, we need to know the total office supplies on hand at the end of the year, as well as the amount of office supplies that were purchased and used during the year. Without this information, we cannot determine the beginning balance of office supplies with certainty.
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beginning of March, Brister Software Company had Cash of $12,000, Accounts Receivable of $18,000, Accounts Payable of $4,000, and G. Brister, Capital of $26,000. During the month of March, the following transactions occurred: Analyze effects of transactions for existing company. 1. Purchased equipment for $23,000 from Digital Equipment. Paid $3,000 cash and signed a note payable for the balance. 2. Received $12,000 from customers for contracts billed in February. 3. Paid $3,000 for March rent of office space. 4. Paid $2,500 of the amounts owing to suppliers at the beginning of March. 5. Provided software services to Kwon Construction Company for $7,000 cash. 6. Paid BC Hydro $1,000 for energy used in March. 7. G. Brister withdrew $5,000 cash from the business. 8. Paid Digital Equipment $2,100 on account of the note payable issued for the equipment purchased in transaction 1. Of this, $100 was for interest expense. 9. Hired an employee to start working in April. 10. Incurred advertising expense on account for March, $1,500.
Beginning of March, Brister Software Company had Cash of $12,000, Accounts Receivable of $18,000, Accounts Payable of $4,000, and G. Brister, Capital of $26,000.
During the month of March, the following transactions occurred: Analyze effects of transactions for existing company
1. Purchased equipment for $23,000 from Digital Equipment. Paid $3,000 cash and signed a note payable for the balance.
2. Received $12,000 from customers for contracts billed in February.
3. Paid $3,000 for March rent of office space.
4. Paid $2,500 of the amounts owing to suppliers at the beginning of March.
5. Provided software services to Kwon Construction Company for $7,000 cash.
6. Paid BC Hydro $1,000 for energy used in March.
7. G. Brister withdrew $5,000 cash from the business.
8. Paid Digital Equipment $2,100 on account of the note payable issued for the equipment purchased in transaction 1. Of this, $100 was for interest expense.
9. Hired an employee to start working in April.
10. Incurred advertising expense on account for March, $1,500.The effects of transactions on the Brister Software Company are:1. Purchased equipment for $23,000 from Digital Equipment. Paid $3,000 cash and signed a note payable for the balance.
Effect: Increase in Equipment by $23,000Increase in Notes Payable by $20,000 Decrease in Cash by $3,0002. Received $12,000 from customers for contracts billed in February.
Effect: Increase in Cash by $12,000Increase in Accounts Receivable by $6,0003. Paid $3,000 for March rent of office space.Effect: Decrease in Cash by $3,0004. Paid $2,500 of the amounts owing to suppliers at the beginning of March.Effect: Decrease in Accounts Payable by $2,500Decrease in Cash by $2,5005.Provided software services to Kwon Construction Company for $7,000 cash.Effect: Increase in Cash by $7,0006. Paid BC Hydro $1,000 for energy used in March.Effect: Decrease in Cash by $1,0007. G. Brister withdrew $5,000 cash from the business. Effect: Decrease in Cash by $5,000Decrease in Capital by $5,0008. Paid Digital Equipment $2,100 on account of the note payable issued for the equipment purchased in transaction 1. Of this, $100 was for interest expense.Effect: Decrease in Cash by $ 2,100 Decrease in Notes Payable by $ 2,000 Decrease in Interest Expense by $1009. Hired an employee to start working in April.Effect: No effect on the current financial statement10. Incurred advertising expense on account for March, $1,500.Effect: Increase in Advertising Expenses by $1,500Increase in Accounts Payable by $1,500.Effect: Increase in Equipment by $23,000 Increase in Notes Payable by $20,000 Decrease in Cash by $3,000Increase in Cash by $12,000 Increase in Accounts Receivable by $6,000
Decrease in Cash by $3,000 Decrease in Accounts Payable by $2,500 Decrease in Cash by $2,500Increase in Cash by $7,000 Decrease in Cash by $1,000Decrease in Cash by $5,000 Decrease in Capital by $5,000Decrease in Cash by $2,100 Decrease in Notes Payable by $2,000Decrease in Interest Expense by $100Increase in Advertising Expense by $1,500Increase in Accounts Payable by $1,500.
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Daily demand at a store is normally distributed with a mean of 100 units and a standard deviation of 30 units. The store opens 7 days a week. What is the standard deviation of the weekly demand combined? a) 265 b) 210 Oc) 79 d) 30 e) Non of the above
The standard deviation of the weekly demand combined is approximately 137.5 units. Therefore, option e is correct.
To calculate the standard deviation of the weekly demand combined, we need to consider the properties of normally distributed variables. The standard deviation of the sum of independent normally distributed variables can be calculated by taking the square root of the sum of their variances.
In this case, the daily demand has a mean of 100 units and a standard deviation of 30 units. Since the store opens 7 days a week, we can calculate the variance of the weekly demand as follows:
Variance of weekly demand = (Standard deviation of daily demand)^2 * (Number of days in a week)
Variance of weekly demand = (30)^2 * 7 = 2,700 * 7 = 18,900
Taking the square root of the variance gives us the standard deviation of the weekly demand:
Standard deviation of weekly demand = √(Variance of weekly demand) = √(18,900) ≈ 137.5
Therefore, the standard deviation of the weekly demand combined is approximately 137.5 units. None of the provided answer choices match the calculated result.
The standard deviation of the weekly demand combined is approximately 137.5 units. None of the given answer choices match the calculated value.
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Consider a consumer with utility function for goods X and Y:
U(x,y) = x0.4 y0.6
The consumer has income M to spend. The price of x is Px and the price of y is Py.
a. Calculate the consumer’s marginal rate of substitution (MRS). At the utility
maximizing consumption bundle, what must be true about the relationship between
MRS and prices? Why?
b. Write down the equation for the consumer’s budget constraint.
c. Derive the consumer’s demand for good Y in general form. Plot the demand curve
for Py = 1 through 5 (whole integers only), when income is held constant at 50 and Px
is held constant at 1.
The consumer has a utility function that depends on goods X and Y, with a marginal rate of substitution (MRS) equal to (2/3)(y/x). At the utility-maximizing consumption bundle, the MRS must be equal to the price ratio (Py/Px). The consumer's budget constraint is given by M = Px * x + Py * y. To derive the consumer's demand for good Y, we need to solve the utility maximization problem subject to the budget constraint.
a. The marginal rate of substitution (MRS) measures the rate at which a consumer is willing to trade one good for another while keeping utility constant. To calculate the MRS, we take the partial derivative of the utility function with respect to x and divide it by the partial derivative with respect to y:
MRS = (∂U/∂x) / (∂U/∂y)
=[tex](0.4x^(-0.6)y^0.6) / (0.6x^0.4y^(-0.4))[/tex]
= (0.4y / 0.6x)
= (2/3)(y/x)
At the utility-maximizing consumption bundle, the MRS must be equal to the price ratio (Py/Px). This is known as the equality of the MRS and the price ratio. Mathematically, it can be represented as:
MRS = (2/3)(y/x) = Py/Px
This relationship ensures that the consumer allocates their budget in such a way that the marginal utility obtained from the last unit of money spent on each good is equal.
b. The equation for the consumer's budget constraint can be derived using the consumer's income (M) and the prices of goods X (Px) and Y (Py). The budget constraint is given by:
M = Px * x + Py * y
This equation states that the consumer's total expenditure on goods X and Y should not exceed their income.
c. To derive the consumer's demand for good Y, we need to solve the utility maximization problem subject to the budget constraint. The Lagrange function for this problem is:
L(x, y, λ) = U(x, y) - λ(M - Px * x - Py * y)
Taking the partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can derive the demand functions for goods X and Y:
[tex]∂L/∂x = 0.4x^(-0.6)y^0.6 - λPx = 0∂L/∂y = 0.6x^0.4y^(-0.4) - λPy = 0[/tex]
M = Px * x + Py * y
By solving these equations simultaneously, we can find the demand functions for goods X and Y. However, since the specific values of Px and Py are not given, we cannot calculate the exact demand for good Y. We can only plot the demand curve for Py = 1 through 5, while keeping the income (M) constant at 50 and Px constant at 1.
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3. Economic policies that involve government spending and taxes
are known as
The economic policies that involve government spending and taxes are known as fiscal policies. These policies help to regulate the economy and aim to achieve the macroeconomic objectives of price stability, full employment, and economic growth.
In the economy, two major policies are used to steer macroeconomic variables. These policies are called monetary policy and fiscal policy. In general, fiscal policy involves government spending and taxation. On the other hand, monetary policy involves adjusting the supply of money, which includes interest rates.Fiscal policies have a direct impact on the economy since they affect government revenue and spending, which, in turn, impact macroeconomic variables such as GDP, inflation, and employment. If the government decides to increase spending or decrease taxes, it leads to an increase in demand for goods and services in the economy, which can boost GDP. Conversely, if the government decides to decrease spending or increase taxes, it leads to a decrease in demand for goods and services, which can slow down economic growth.Fiscal policies also have a direct effect on the distribution of wealth and income. If the government decides to increase spending on social welfare programs, it can help reduce income inequality in society. Conversely, if the government decides to decrease spending on social welfare programs, it can lead to an increase in income inequality. fiscal policies are government policies that involve government spending and taxation. These policies have a direct impact on the economy and aim to achieve macroeconomic objectives such as price stability, full employment, and economic growth.
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The economic policies that include government spending and taxes are known as fiscal policies. The main answer is that fiscal policies are used by the government to manage its expenditures and revenue in the country's economy.
What are fiscal policies?Fiscal policy is a government's use of government spending and taxation to influence the economy's growth, stability, and prosperity. This policy's central aim is to regulate the economy and reduce the negative impacts of economic fluctuations on the country's inhabitants.Fiscal policies may be expansionary or contractionary. In times of recession, the government's spending may be increased to improve economic growth, whereas during times of inflation, the government's spending is decreased to control economic growth. In a recession, expansionary fiscal policies may be employed to increase aggregate demand and employment by reducing tax rates and increasing government spending on programs. Alternatively, the government may pursue contractionary fiscal policies in times of inflation to reduce aggregate demand and slow down the economy. Fiscal policy is one of the government's main instruments for managing the economy's growth and stability. Fiscal policies may be expansionary or contractionary, depending on the state of the economy. Expansionary fiscal policies are used to improve economic growth, while contractionary fiscal policies are used to slow down economic growth during times of inflation.
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In which of the following industries is marginal cost pricing most likely?
a.Toothpaste.
b.Corn.
c.Air travel.
d,Laundry detergent.
The most likely marginal cost pricing is corn. Option B is the correct answer.
The technique of fixing a product's price to correspond to the additional expense of generating an additional unit of output is known as marginal-cost pricing in economics. According to this strategy, a producer only adds to total cost the amount arising from material and direct labor for each unit of a product sold. Option B is the correct answer.
When sales are sluggish, businesses frequently set prices that are near to their marginal costs. This occurs typically when a business either seeks to use a tiny percentage of its remaining unutilized manufacturing capacity or is unable to sell its goods for a higher price. There will be clients who are highly price-sensitive. Otherwise, unless a firm was prepared to participate in marginal cost pricing, this segment may not purchase from it.
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From the bank reconciliation, no entry was recorded for deposits in transit. This would cause
A. Assets to be understated
B. No impact since deposits aren’t recorded on the books
C. Assets to be overstated
D. No impact since deposits in transit are already included in the balance per books
From the bank reconciliation, no entry was recorded for deposits in transit. This would cause Assets to be overstated Option C.
Deposits in transit refer to deposits made by a company that have been recorded on the company's books but have not yet been recorded by the bank. These deposits are typically made near the end of a reporting period and may not appear on the bank statement until the following period.
When no entry is recorded for deposits in transit, it means that the company has included these deposits in its books but has not adjusted the bank balance to reflect them.
The bank reconciliation process is used to reconcile the company's cash balance per books with the cash balance per bank statement. It involves comparing the transactions recorded by the company with those recorded by the bank and making adjustments for any differences.
Deposits in transit are one of the items that need to be accounted for in the reconciliation process.
If no entry is recorded for deposits in transit, it means that the company has not adjusted its cash balance per books to include these deposits. As a result, the cash balance per books will be higher than the actual cash balance. This leads to an overstatement of assets because the company is reporting a higher amount of cash than it actually has.
Therefore, the correct answer is C. Assets to be overstated. Failing to record deposits in transit will result in an overstatement of assets on the company's books. It is important for the company to recognize and record these deposits to ensure accurate financial reporting and prevent misrepresentation of its financial position. Option C is correct.
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What happens if an individual firm in a perfectly competitive market increases its price to be slightly above the market price?
A) All other sellers in the market will lower their price below the market price.
B) All other firms raise their prices, too.
C) Buyers will buy the goods from other firms.
D) Buyers buy more from the firm that raises its price.
The correct option is C. Buyers will buy the goods from other firms.
In a perfectly competitive market, every firm in the market is a price-taker, so they can't influence the market price. Thus, a firm that increases its price to be slightly above the market price would lose all of its customers because buyers would buy the goods from other firms. This is because in a perfectly competitive market, all firms sell identical products and the buyers have perfect information. Thus, buyers have no reason to pay a higher price for a product when they can purchase the same product from another firm at a lower price. In other words, a firm that increases its price to be slightly above the market price would lose all of its customers, and buyers would buy the goods from other firms.
In a perfectly competitive market, firms are forced to accept the prevailing market price. If they charge more than the market price, they will lose market share and revenue because customers will buy the identical product elsewhere for a lower price.
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The production function of john business is Q = L + 1.5K where Q is the variable capturing the quantity of output produced, L is the variable measuring the units of labour hired and K is the variable measuring units of capital hired. Suppose also that the wage rate per unit of labour is $20 and the rental rate per unit of capital is $24. Given this information, answer the following questions.
(i) In the long run, what is the input bundle that john should choose to produce 200 units of output? Show your working and explain your answer. What will be the associated minimum total cost of production?
(ii) Diagrammatically represent john's chosen input combination carefully using an isoquant and an isocost line while keeping labour (L) on the horizontal axis.
i) The total cost of production will be C is $51K.
(i) In the long run, John's input bundle that he should choose to produce 200 units of output is given by the formulae:
MPᵣₗ = w / pᵣₗ
MPᵣₖ = r / pᵣₖ
Where, MP = marginal product of labor or capital, w = wage rate per unit of labor, r = rental rate per unit of capital, pᵣₗ = price of labor, and pᵣₖ = price of capital.
Given the production function as Q = L + 1.5K
We know that
MPᵣₗ = ΔQ / ΔL = 1.
Therefore, 1 = w / pᵣₗ,
pᵣₗ = $20
Therefore, w = $20.
We also know that
MPᵣₖ = ΔQ / ΔK
MPᵣₖ = 1.5
Therefore, 1.5 = r / pᵣₖ, pᵣₖ = $24
Therefore, r = $36.
From the above formulae, John's input bundle would be:
MPᵣₗ / MPᵣₖ = w / r
MPᵣₗ / 1.5 = 20 / 36
MPᵣₗ = 0.5MPᵣₖ
Q = 200 = L + 1.5K
When Q = 200, L = 0.5(1.5K)
Therefore, the input bundle John should choose to produce 200 units of output is L = 0.5(1.5K) and K = K.
The total cost of production will be C = wL + rK, where w is the wage rate, L is the amount of labor and r is the rental rate.
When L = 0.5(1.5K) and Q = 200, then the cost of production will be minimum.
The total cost of production will be
C = wL + rK
C = $20 (0.5)(1.5K) + $36K
C = $15K + $36K = $51K
(ii) Diagrammatically represent John's chosen input combination carefully using an isoquant and an iso cost line while keeping labor (L) on the horizontal axis.
For the diagrammatic representation of John's chosen input combination, the isoquant and is cost line are required.
The isoquant is a curve that shows the various input combinations that can produce the same quantity of output.
An iso cost line is a line that shows the various combinations of labor and capital that can be purchased with a given budget.
John's chosen input combination will be at the point of tangency between the isoquant and iso cost line. To draw the diagram, the following steps will be taken:
1. Choose a level of output Q = 200 units
2. Set up the equation for the isoquant by equating it to Q and solving for K in terms of L, where
Q = L + 1.5K
K = (Q-L)/1.5
3. Draw a graph with the amount of labor, L, on the horizontal axis and the amount of capital, K, on the vertical axis.
4. Plot the isoquant by using different values of L to solve for K, then plot the resulting points on the graph.
5. Draw an iso cost line by calculating the cost of production for different levels of L and K.
6. The point of tangency between the isoquant and iso cost line will be the optimal input combination.
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Which of the following nutrients are transported to the liver via the hepatic portal vein? Select all that apply. a. Fatty acids b. Monoacylglycerols c. Glucose d. Amino acids
Fatty acids and Monoacylglycerols are transported to the liver via the hepatic portal vein. Option A & B are correct answers.
The small intestine's mucosal lining absorbs free fatty acids and monoglycerides, which then make their way into the epithelial cells. Lipid production and transport are processes carried out by the endoplasmic reticulum, a component of the cell. Option A & B are correct answers.
Monoglycerides and free fatty acids enter this system after they have reached the cells. Triglycerides are produced in this process from the digested byproducts. Triglycerides are the most prevalent form of fat that the body stores. As a result, fat is digested differently than proteins and carbohydrates. Along with triglycerides and diglycerides, monoglycerides are a kind of fatty acid. In order to enhance the texture, quality, and shelf life of some foods, monoglycerides are added to others.
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Question 2 Suppose a firm is operating in its range of economies of scale, is on both its Long Run Average Cost (LRAC) curve and its short-run ATC curve. At that level of output, the slope of its LRAC curve is: Select one: A. negative and the slope of its ATC curve is zero. B. zero and the slope of its ATC curve is zero. C. zero and the slope of its ATC curve is negative. D. positive and the slope of the ATC curve is positive. E. negative and the slope of its ATC curve is negative.
At that level of output, the slope of its LRAC curve is: A. negative and the slope of its ATC curve is zero.
What is economies of scale?In microeconomics, economies of scale is the advantage gained by a business when its production expands, resulting in a reduction in average cost per unit of output. In the long run, economies of scale occur, which means that the unit cost of production decreases as the scale of output expands. This is due to the fact that the business can spread its fixed costs over more units of output and, as a result, average costs decrease.
When a company is operating in its range of economies of scale, it is both on its Long Run Average Cost (LRAC) curve and its short-run ATC curve. At that level of output, the slope of its LRAC curve is negative and the slope of its ATC curve is zero. Thus, option A is the correct answer.
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One optimized or maximized a task until its marginal benefit was equal to its marginal cost.
Explain the economic logic behind the above statement by assuming that you are a business person who wants to make a profit from your business.
The economic logic behind optimizing a task until its marginal benefit equals its marginal cost is to ensure that resources are allocated efficiently, maximizing profitability for a business.
As a business person aiming to make a profit, it is essential to optimize resource allocation and decision-making. The principle of maximizing profitability relies on the concept of marginal benefit and marginal cost.
Marginal benefit refers to the additional benefit or revenue generated by producing one more unit of a good or service. On the other hand, marginal cost represents the additional cost incurred when producing that additional unit. To maximize profits, a business must balance these two factors.
Initially, as production increases, the marginal benefit typically exceeds the marginal cost. This indicates that each additional unit produced adds more value than the cost of producing it, resulting in higher profits. Therefore, it is economically rational to continue producing until the marginal benefit equals the marginal cost.
At this equilibrium point, the business has optimized its operations. Producing more units would result in diminishing marginal returns, where the additional benefit starts to decline and becomes less than the additional cost. In such cases, the business would be allocating resources inefficiently and potentially reducing profitability.
By optimizing tasks until the marginal benefit equals the marginal cost, a business ensures efficient resource allocation. It focuses on producing the quantity of goods or services that generates the highest return on investment.
This approach allows businesses to avoid unnecessary costs and maximize profits, aligning with the economic logic of rational decision-making and resource optimization.
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a locally owned restaurant is famous for making delicious burritos. the restaurant owners believe that their restaurant would do well in other college towns and is considering expanding operations to other locations. each new location would require an initial investment of $6400. this investment will be depreciated on a straight line basis over the project's 5 year life. the expansion is expected to produce annual cash inflows of $6100 in consecutive years over the life of the project beginning one year from today, while also producing annual cash outflows of $3300 in consecutive years over the life of the project, also beginning one year from today. what is the project's npv if the corporate tax rate is 36% and the project's required rate of return is 11%?
The project's NPV, taking into account the corporate tax rate and the required rate of return is $4,324.75.
The project's NPV can be calculated by discounting the cash inflows and outflows to their present values, taking into account the corporate tax rate and the required rate of return. Here are the steps to calculate the NPV:
Calculate the annual net cash flows by subtracting the cash outflows from the cash inflows for each year:
Year 1: $6,100 - $3,300 = $2,800
Year 2: $6,100 - $3,300 = $2,800
Year 3: $6,100 - $3,300 = $2,800
Year 4: $6,100 - $3,300 = $2,800
Year 5: $6,100 - $3,300 = $2,800
Calculate the present value (PV) of the annual net cash flows by discounting them using the required rate of return. The formula for present value is PV = CF / (1 + r)^n, where CF is the cash flow, r is the discount rate, and n is the number of years.
Year 1: PV = $2,800 / (1 + 0.11)¹ = $2,513.51
Year 2: PV = $2,800 / (1 + 0.11)² = $2,259.91
Year 3: PV = $2,800 / (1 + 0.11)³ = $2,035.88
Year 4: PV = $2,800 / (1 + 0.11)⁴ = $1,837.67
Year 5: PV = $2,800 / (1 + 0.11)⁵ = $1,662.28
Calculate the tax shield for depreciation by multiplying the depreciation expense by the corporate tax rate. The depreciation expense is the initial investment divided by the project's life.
Depreciation expense = $6,400 / 5 = $1,280
Tax shield = $1,280 * 0.36 = $460.80
Calculate the present value of the tax shield by discounting it using the required rate of return.
PV of tax shield = $460.80 / (1 + 0.11) = $415.50
Calculate the total present value of the cash flows by summing the present values of the net cash flows and the present value of the tax shield.
Total PV of cash flows = $2,513.51 + $2,259.91 + $2,035.88 + $1,837.67 + $1,662.28 + $415.50 = $10,724.75
Calculate the NPV by subtracting the initial investment from the total present value of the cash flows.
NPV = $10,724.75 - $6,400 = $4,324.75
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The market consensus is that Analog Electronic Corporation has an ROE-23%, a beta of 2.20, and plans to maintain indefinitely its traditional plowback ratio of 2/5. This year's earnings were $3.80 per share. The annual dividend was just paid. The consensus estimate of the coming year's market return is 15%, and T-bills currently offer a 5% return. a. Find the price at which Analog stock should sell. (Do not round intermediate calculations. Round your answer to 2 decimal places) b. Calculate the P/E ratio. (Do not round intermediate calculations. Round your answers to 2 decimal places.) P/E Ratio Leading Trailing c. Calculate the present value of growth opportunities. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.) PVGO d. Suppose your research convinces you Analog will announce momentarily that it will immediately reduce its plowback ratio to 3/5. Find the intrinsic value of the stock. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Intrinsic value
The intrinsic value of the stock with the reduced plowback ratio is approximately $9.44
The price at which Analog stock should sell, we can use the Gordon Growth Model. The formula for the Gordon Growth Model is
P = D₀(1+g)/r+g
P is the price of the stock
D₀ is the dividend per share
g is the growth rate of dividends
r is the required rate of return
a. Price of Analog stock:
ROE = 23% = 0.23
Plowback ratio = 2/5 = 0.4
Earnings per share (EPS) = $3.80
Dividend payout ratio (1 - plowback ratio) = 1 - 0.4 = 0.6
Dividend per share (D0) = EPS × dividend payout ratio
= $3.80 × 0.6
= $2.28
Required rate of return (r)
= T-bill return + Beta × (Market return - T-bill return)
= 0.05 + 2.20 × (0.15 - 0.05)
= 0.05 + 2.20 × 0.10
= 0.05 + 0.22
= 0.27
Growth rate of dividends (g) = ROE × plowback ratio
= 0.23 × 0.4
= 0.092
Using the Gordon Growth Model:
P = (D0 × (1 + g)) / (r - g)
= ($2.28 × (1 + 0.092)) / (0.27 - 0.092)
≈ $10.07
Therefore, the price at which Analog stock should sell is approximately $10.07.
b. P/E Ratio:
To calculate the P/E ratio, we need the trailing and leading P/E ratios. The trailing P/E ratio is calculated using the current market price and the earnings per share from the previous year. The leading P/E ratio is calculated using the expected future earnings per share.
Trailing P/E ratio:
Trailing P/E = Price / EPS = $10.07 / $3.80 ≈ 2.65
Leading P/E ratio:
Leading P/E = (Price + Expected Dividends) / Expected EPS
Since the expected dividends are not given, we'll assume they remain the same as the previous year.
Leading P/E = (Price + Dividends) / EPS = ($10.07 + $2.28) / $3.80 ≈ 3.07
Therefore, the P/E ratio for Analog stock is approximately 2.65 (trailing) and 3.07 (leading).
c. Present Value of Growth Opportunities (PVGO):
PVGO is calculated by subtracting the present value of dividends from the price of the stock.
PVGO = Price - (Dividends / r) = $10.07 - ($2.28 / 0.27) ≈ $2.37 (rounded to 2 decimal places)
Therefore, the present value of growth opportunities (PVGO) is approximately $2.37.
d. Intrinsic Value with reduced plowback ratio
If the plowback ratio is reduced to 3/5 = 0.6, the new growth rate (g) will be:
g = ROE × plowback ratio = 0.23 × 0.6 = 0.138
Using the Gordon Growth Model with the new growth rate
P = (D₀ × (1 + g)) / (r - g)
= ($2.28 × (1 + 0.138)) / (0.27 - 0.138)
≈ $9.44
Therefore, the intrinsic value of the stock with the reduced plowback ratio is approximately $9.44.
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1 Which company responded to customer complaints and fixed its products before a regulatory agency became involved?
Chrysler
Ford
GM
Procter & Gamble
The Procter & Gamble is the company that responded to customer complaints and fixed its products before a regulatory agency became involved.
This is because Procter & Gamble is a leading multinational consumer goods company that has always maintained its standard of producing quality products. Over the years, Procter & Gamble has taken proactive steps to ensure that customer complaints are resolved immediately without waiting for a regulatory agency to become involved. For instance, in 2014, Procter & Gamble voluntarily recalled some of its products due to potential health risks even before the regulatory agency mandated it.Procter & Gamble is known to invest significant resources in research and development to ensure that its products are not only high quality but also safe for customers to use. The company has put in place mechanisms to identify potential issues with its products, and it is quick to respond when a customer files a complaint. The company's commitment to responding to customer complaints is evident in the measures it takes to improve its products, customer service, and relationships with customers.In conclusion, Procter & Gamble is a company that prioritizes customer satisfaction by addressing complaints promptly and taking proactive measures to ensure its products are of high quality and safe for consumers to use. The company's commitment to product safety and customer satisfaction has helped it maintain a positive reputation, a loyal customer base, and its status as one of the leading consumer goods companies globally.
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In the U.S. Balance of Payments, foreign purchases of U.S. goods are recorded as: O a. An inflow to the Current Account O b. An outflow to the Current Account O C. An inflow to the Financial Account O d. An outflow to the Financial Account Which of the following is true concerning the dealer's bid/ask quote in the foreign exchange (FX) market? Select one: a. The ask rate is the rate at which the dealer will buy the currency. b. The bid rate is the rate at which the dealer will sell the currency c. The ask rate is the rate at which the dealer will sell the currency O d. The bid rate will always be higher than the ask rate
1. Foreign purchases of U.S. goods are recorded as an inflow to the Current Account in the U.S. Balance of Payments. Option A
2. The bid rate is the rate at which the dealer will sell the currency. Option B
What is balance of payments?The bid/ask quote is a two-way price offered by the dealer for a particular currency pair in the foreign exchange market. The bid rate is the price the dealer is ready to accept in exchange for the quotation currency while selling the base currency.
The price at which the dealer is willing to purchase the base currency from the trader in exchange for the quote currency is known as the ask rate, sometimes known as the offer rate.
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Consider the economy of Hicksonia in the previous question. Assume that the economy is described by the sticky-price model and that a half of the country’s firms have flexible prices while the others have sticky prices. a. Derive the SRAS and LRAS curves when Pe and Y are 2 and 1,100, respectively. Combine them with the AD curve you derived in the previous question in the AD-AS diagram and locate the long-run equilibrium point. b. Explain the short- and long-run adjustment processes when government purchases increase, using Keynesian cross, money market, IS-LM, labor market, AD-AS models and Phillips curve. For this question, you don’t need to provide specific numbers for each variable.
In the long run, the adjustment process leads to a change in prices, but the output remains the same. As prices increase, the firms will increase the prices of their products and services, and the output levels will revert to the natural levels.
a. Derivation of SRAS and LRAS curves: Sticky price model assumes that half of the country’s firms have flexible prices while the other half have sticky prices. In the short run, firms with sticky prices would keep their prices constant and only change them in the long run. In the case of Hicksonia, let us assume that the prices are sticky in the short run. Given that the current prices are 2 and output is 1100, SRAS and LRAS curves are as follows: The short-run aggregate supply (SRAS) curve would be upward sloping, and it is horizontal when the output is equal to the natural output. The LRAS curve, however, is vertical and is equal to the potential output of the economy when the input is full and all prices are flexible. The AD, SRAS, and LRAS curves will intersect at a point that will represent a short-run equilibrium point. It is essential to note that short-run equilibrium is not the same as long-run equilibrium. If prices are sticky in the short run, it will take time to adjust to the long-run equilibrium.
b. The short-run adjustment process when government purchases increase is as follows: Government purchases increase would mean an increase in government spending. This will lead to an increase in the demand for goods and services in the economy. Therefore, in the short run, there will be an upward shift in the aggregate demand (AD) curve. This will lead to an increase in both output and prices. The short-run adjustment process in the labor market will see an increase in employment levels leading to a reduction in unemployment rates. This will lead to an increase in the wage rates. Hence, it is essential to note that the short-run adjustment process leads to an increase in both prices and output.
In the long run, the adjustment process leads to a change in prices, but the output remains the same. As prices increase, the firms will increase the prices of their products and services, and the output levels will revert to the natural levels. The AD curve shifts to the left until it intersects the LRAS curve at the natural output level. Therefore, in the long run, the economy returns to its natural output level but with higher prices. Hence, it is essential to note that the adjustment process leads to an increase in prices and not output.
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Denver is a wealthy entrepreneur that owns several companies specialising in consumer products. One of them called, Hooga Niaga Bhd.
Denver ventured into an agreement with Monica’s company called Walred Sdn Bhd. This contract involved Walred Sdn Bhd, duty to engage relevant suppliers of pharmaceutical products, for Hooga Niaga Bhd.
The specific terms of the contract between Hooga Niaga Bhd and Walred Sdn Bhd are as follows:
The specific terms of the contract between Hooga Niaga Bhd and Walred Sdn Bhd are as follows:
- Walred Sdn Bhd is required to provide a supplier list of pharmaceutical products according to Hooga Niaga Bhd's needs within 30 days of signing the contract.- Walred Sdn Bhd is required to negotiate prices and purchase terms with the supplier chosen by Hooga Niaga Bhd and obtain written approval from Hooga Niaga Bhd prior to placing an order.- Walred Sdn Bhd is required to ensure the delivery of the pharmaceutical products ordered by Hooga Niaga Bhd within 60 days of signing the contract.- Walred Sdn Bhd is required to pay a service fee of 10% of the order amount to Hooga Niaga Bhd if the pharmaceutical product is delivered to Hooga Niaga Bhd.- Walred Sdn Bhd is responsible for resolving any issues or disputes that arise with the supply or delivery of pharmaceutical products.About ContractContract or agreement is an agreement between two or more people regarding certain matters agreed upon by them.
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What are the futuristic planning and it's implementation of Apple Inc !?
Apple Inc. engages in futuristic planning by investing in research and development, conducting market analysis, and prioritizing innovation.
Future focused planning by the company entails extensive research and development examination of cutting edge technologies and anticipation of customer demands. To develop cutting edge goods and services. Apple makes investments in cutting edge technologies like augmented reality, artificial intelligence and sophisticated chipsets.
Apple's product line which consists of gadgets like the iPhone, iPad, Mac, and Apple Watch as well as services like Apple Music, iCloud and Apple Pay demonstrates how its futuristic plans are being implemented. A seamless user experience is created by the seamless integration of these goods and services. Apple implementation strategy is heavily influenced by its focus on design, user interface and user experience.
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Activities within a company that involve dealing with the union and its members are called ________.
The activities within a company that involve dealing with the union and its members are called labor relations
.What is labor relations?Labor relations is a sub-field of human resources, specializing in the relationships between labor unions and employers. It focuses on promoting healthy relationships between labor unions and management.
It is the area of study concerned with the relationship between the management and the workers or the labor union that represents them, such as collective bargaining agreements, collective bargaining procedures, disputes, and strikes, among other things.
Labor relations is concerned with understanding the interactions between the employer and the employees, the laws and regulations governing the workers' rights, the role of the labor union, and the potential conflicts that may arise between the employer and employees.
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Jenna paid foreign income tax of $5,550 on foreign income of $27,752. Her worldwide taxable income was $175,400, and her U.S. tax liability was $43,000.
Required:
What is the amount of the foreign tax credit (FTC) allowed?
What would be the allowed FTC if Jenna had paid foreign income tax of $12,400 instead?
Note: Do not round intermediate calculations. Round your final answer to the nearest whole dollar amount
The allowed foreign tax credit (FTC) is $5,550. If Jenna had paid a different foreign income tax of $12,400, the allowed FTC would still be $12,400.
How much is the allowed foreign tax credit (FTC) for Jenna's foreign income tax payment?The foreign tax credit (FTC) is a provision in the U.S. tax system that allows taxpayers to offset their U.S. tax liability by the amount of income tax paid to foreign countries. The purpose of the FTC is to prevent double taxation on income earned abroad.
In this case, Jenna paid foreign income tax of $5,550 on her foreign income of $27,752. Her worldwide taxable income was $175,400, and her U.S. tax liability was $43,000.
To calculate the allowed foreign tax credit, we need to determine the lesser of the foreign income tax paid or the U.S. tax liability on the foreign income. In this case, the foreign income tax paid is $5,550, and the U.S. tax liability on the foreign income can be calculated as follows:
Foreign income tax / Foreign income * Worldwide taxable income = FTC limitation
$5,550 / $27,752 * $175,400 = $35,000
Since the U.S. tax liability on the foreign income ($43,000) is greater than the FTC limitation ($35,000), the allowed FTC is $5,550.
Now, let's consider what would happen if Jenna had paid a different amount of foreign income tax, specifically $12,400. We can calculate the new FTC limitation using the same formula:
$12,400 / $27,752 * $175,400 = $78,620
Since the U.S. tax liability on the foreign income ($43,000) is still greater than the new FTC limitation ($78,620), the allowed FTC remains $12,400.
In summary, the allowed foreign tax credit for Jenna's foreign income tax of $5,550 is $5,550, and the allowed foreign tax credit for a different foreign income tax amount of $12,400 would still be $12,400.
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In the article of Chen and Lan. "There will be killing Collectivitation and death of draft animals. American Economic Journal: Applied Eco- nomics 94 (2017, the number of draft animals was reduced to a great extet following the collectivization movement 1953-1957. In their twin paper "Tractors animal Rural reforms and technology adoption in China Journal of Development Economics (2020), the tractor-plowed ar- as was reduced and then increased, while the number of draft animals was increased after 1978. 16. Which of the following statements is NOT the economic reason of the collectivitation movement during 1953-1957 A. Small households should be unionized became they are scattered. isolated and unable to restrik B. The need to develop scale economy in agricultural sector in onder to support industrialization of the state. C. To integrate the production materials, such as land, animals, capital and laber, so as to improve the production efficiency. D. To facilitate coordination via a unified people's comune 17. Which of the following statements is NOT the reason of inefficiency of collectiviration? A. Farmers joining the cooperatives tend to free-ride on the contribu tion of other farmers B. Without owning land or other amets, the bargaining position of households are weakened, leading to low incentive to protect the col lective at C. The fixed wage or rutal system reduce the incentive of farmers to make more efforts. D. The double marginalization problems between farmers and the co- operatives reduce their incentive of making efforts. 18. Which of the following statements is NOT the economic reason of the efficiency gain in 1976? A. Households have ownership of production materials like tractors and draft animals. B. There is a technological improvement to replace large tractor by small tractors when cultivating fragmented land. C. The people's comme allocates the production roures in a more efficient way. D. Farmers have control rights over land use 19. Which of the following statements is NOT the feature of the rural household responsibility system in China? A. Production and labor decision belongs to hold B. The contracting and management rights of land go to the State C. Land ownership belongs to collective commune. D. The rights to circulate, rent, use and claim income from land go to individual households 20. Which of the following statements is NOT the strategy of rural revi talization for nowadays China? A. To develop scale economy B. To have pleasant living environments C. To improve governance efficiency D. To live instit
The statement that is NOT an economic reason for the collectivization movement during 1953-1957 is: A. Small households should be unionized because they are scattered, isolated, and unable to restrike.
What is the animals about?In the case above, Although options B, C, and D offer reasonable economic justifications for the collectivization movement, option A is not directly linked to economic factors.
Therefore, Option A emphasizes the difficulties in managing numerous individual households that are spread out, instead of providing an economic justification for implementing collectivization.
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On February 1, Lighthouse Company Corporation sold an additional 4,000 shares. On July 1, they retired 3,000 shares and on August 1, the company's board declared a 4-for-1 stock split. Net income for 2022 was $583,150 and dividends declare the year of $162,750 of which preferred shareholders received $133,000. Lighthouse Company Corporation had 29,000 common shares outstanding at the start of 2022. Lighthouse Company Corporation has a December 31 year-end. Listen REQUIRED Calculate the Earnings Per Share and Dividends Per Share for common shareholders of 2022.
The Earnings Per Share (EPS) for common shareholders of Lighthouse Company Corporation in 2022 is approximately $1.586 per share,
To calculate the Earnings Per Share (EPS) and Dividends Per Share (DPS) for common shareholders of Lighthouse Company Corporation in 2022, we need to consider the changes in the number of shares throughout the year and the relevant financial figures. Let's calculate each step:
Calculate the weighted average number of common shares outstanding:
Starting common shares: 29,000
Additional shares sold on February 1: 4,000
Shares retired on July 1: 3,000
Stock split (4-for-1) on August 1: The number of shares is multiplied by 4
Weighted average shares = (29,000 x 7 months) + (33,000 x 5 months)
= 203,000 + 165,000
= 368,000 shares
Calculate the Earnings Per Share (EPS):
EPS = Net Income / Weighted average number of shares
EPS = $583,150 / 368,000 shares
EPS ≈ $1.586 per share
Calculate the Dividends Per Share (DPS) for common shareholders:
Total dividends declared = $162,750
Preferred shareholders' portion = $133,000
Dividends available for common shareholders = Total dividends declared - Preferred shareholders' portion
Dividends available for common shareholders = $162,750 - $133,000
Dividends available for common shareholders = $29,750
DPS = Dividends available for common shareholders / Weighted average number of shares
DPS = $29,750 / 368,000 shares
DPS = $0.081 per share
Therefore, the Earnings Per Share (EPS) for common shareholders of Lighthouse Company Corporation in 2022 is approximately $1.586 per share, and the Dividends Per Share (DPS) for common shareholders is approximately $0.081 per share.
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An agribusiness has a debt to asset ratio of .44 to 1, the corresponding equity to asset ratio is .66 to 1.
true or false
It is accurate to say that the debt-to-total-assets ratio reveals the proportion of a company's assets owned by shareholders versus creditors (those from whom the company has borrowed money). Along with the debt servicing ratio and the debt-to-equity ratio, it is one of three computations used to assess debt capacity.
Equity Ratio = Total Asset / Shareholder Equity
Equity share capital is included in shareholders' equity. On the liability side of the company balance sheet, it shows as the owner's equity or shareholders' equity.
The equity to assets ratio is calculated by dividing the total equity of a company by the total value of its assets. The percentage of the company's assets that are financed by equity is the outcome, which is expressed as a result.
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Xtinct Artifacts has not paid a dividend during the past 10 years. However, at the end of this year, the company plans to pay a $1.50 dividend and a $2 dividend the following year (Year 2). Starting in three years, the dividend will begin to grow by 5 percent each year for as long as the firm is in business. If investors require an 11 percent rate of return to purchase Xtinct's common stock, what should be the market value of its stock today?
To calculate the market value of Xtinct Artifacts' stock today, we need to determine the present value of the future dividends using the dividend discount model (DDM). The DDM formula is as follows:
[tex]\[ \text{Stock Price} = \frac{{\text{Dividend}_1}}{{(1 + \text{r})^1}} + \frac{{\text{Dividend}_2}}{{(1 + \text{r})^2}} + \frac{{\text{Dividend}_3}}{{(1 + \text{r})^3}} + \ldots \][/tex]
Where:
- [tex]\(\text{Dividend}_1\)[/tex] is the dividend to be paid at the end of the current year
- [tex]\(\text{Dividend}_2\)[/tex] is the dividend to be paid at the end of Year 2
- [tex]\(\text{r}\)[/tex] is the required rate of return
Let's calculate the market value of Xtinct Artifacts' stock today:
[tex]\(\text{Dividend}_1 = \$1.50\)[/tex]
[tex]\(\text{Dividend}_2 = \$2.00\)[/tex]
[tex]\(\text{Dividend}_3\)[/tex] and subsequent dividends will grow by 5% each year
[tex]\(\text{r} = 11\% = 0.11\)[/tex]
To find the present value of the growing dividends, we can use the formula for the present value of a growing perpetuity:
[tex]\[ \text{Present Value} = \frac{{\text{Dividend}}}{{\text{r} - \text{g}}} \][/tex]
Where:
- [tex]\(\text{Dividend}\)[/tex] is the dividend in Year 3 and subsequent years
- [tex]\(\text{g}\)[/tex] is the growth rate of the dividends
Let's calculate the present value of the growing dividends:
[tex]\(\text{Dividend}_3 = \text{Dividend}_2 \times (1 + \text{g}) = \$2.00 \times (1 + 0.05) = \$2.10\)[/tex]
[tex]\(\text{Dividend} = \text{Dividend}_3\)[/tex]
[tex]\(\text{g} = 5\% = 0.05\)[/tex]
Using the present value formula, we can calculate the present value of the growing dividends:
[tex]\(\text{Present Value} = \frac{{\$2.10}}{{0.11 - 0.05}} = \$35\)[/tex]
Now, let's calculate the market value of Xtinct Artifacts' stock today by summing the present value of the dividends:
[tex]\(\text{Stock Price} = \frac{{\$1.50}}{{(1 + 0.11)^1}} + \frac{{\$2.00}}{{(1 + 0.11)^2}} + \text{Present Value} = \$1.35 + \$1.61 + \$35 = \$37.96\)[/tex]
Therefore, the market value of Xtinct Artifacts' stock today is approximately $37.96.
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