The existence of limits to arbitrage and behavioral factors can explain why certain anomalies persist in efficient securities markets. It highlights the complexity of market dynamics and the challenges faced by arbitrageurs in fully exploiting and eliminating market inefficiencies.
The two limits to arbitrage are:
1. Funding constraints: This limit arises when arbitrageurs are unable to raise sufficient capital or when the cost of financing an arbitrage strategy exceeds its expected return. This is due to the risks involved in holding a security and the difficulties associated with selling it once the position has been established. This could limit arbitrage opportunities.
2. Model risk: The second limit arises from the fact that arbitrageurs may be using models that are either too simplistic or too complex to capture all of the relevant information. As a result, the returns on the arbitrage strategies may be less than expected. This could limit arbitrage opportunities.
These two limits to arbitrage are useful for explaining why certain anomalies in the securities markets persist, such as post-announcement drift and accruals anomalies. The presence of these anomalies suggests that the markets are not perfectly efficient and that there are opportunities for arbitrageurs to profit. The funding constraints limit the amount of capital that arbitrageurs can deploy, while model risk may limit the accuracy of their predictions
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A hospital has four types of operating rooms, I, II, III, and IV, serving six departments, A, B, C, D, E, and F. Table 1 below summarizes the daily availability of the different types of operating rooms. Table 2 below summarizes the weekly demand for operating room hours. The limit on unmet demand is the most hours a department can be denied relative to its weekly demand. The goal of the hospital is to meet the weekly demand of all departments. Please formulate a goal programming model and use GAMS to determine the daily schedule for the utilization of operating rooms. Table 1. Operating Room Availability Available Hours Weekday Type I Type II Type III Type IV Monday Tuesday 08:00~ 15:30 08:00 17:00 08:00~ 15:30 08:00~16:00 08:00 15:30 08:0017:00 08:00~15:30 08:0016:00 08:00 15:30 08:0017:00 08:00 15:30 08:00~16:00 08:00 15:30 08:00~ 17:00 08:00~15:30 08:00~16:00 09:00~15:30 09:00~ 17:00 09:00 15:30 09:00 16:00 Thursday Friday Number of Rooms Table 2. Weekly Demand for Operating Rooms Department Weekly Demand (hours)Limit of Unmet Demand (hours) 10 10 10 10 10 189 39.4 19.9 26.3 5.4
Using GAMS (General Algebraic Modeling System), we can define the objective function, constraints, and data sets based on the provided tables.
To formulate the goal programming model for the daily schedule of operating room utilization, we can define the following decision variables:
Let xij represent the number of hours department i is allocated in operating room j on a specific day.
Let yij represent the deviation from the weekly demand for department i in operating room j on a specific day.
The goal programming model can be formulated as follows:
Minimize the total deviation from the weekly demand, subject to:
Meeting the weekly demand:
∑(xij) >= WeeklyDemand(i) - yij, for all i and j
Non-negativity constraints:
xij >= 0, for all i and j
Room availability constraints:
xij <= AvailableHours(j, day), for all i, j, and day
Limit on unmet demand:
yij <= LimitOfUnmetDemand(i), for all i and j
Using GAMS (General Algebraic Modeling System), we can define the objective function, constraints, and data sets based on the provided tables. Then, we can solve the model to obtain the optimal daily schedule for the utilization of operating rooms.
Note: The provided tables contain data in a format that requires further clarification and reformatting to be used directly in GAMS. The specific start and end times for each operating room on each day are not clearly specified. Additionally, the number of operating rooms is not provided. These details would need to be clarified in order to formulate and solve the model accurately.
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CoffeeCarts has a cost of equity of 15.9%, has an effective
cost of debt of 3.5%, and is financed 74% with equity and 26%
with debt. What is this firm's WACC?
CoffeeCarts' Weighted Average Cost of Capital (WACC) is calculated to be X%.
To determine CoffeeCarts' WACC, we need to consider the cost of equity and the cost of debt, weighted by their respective proportions in the capital structure. The cost of equity is given as 15.9%, and the cost of debt is 3.5%. The firm is financed 74% with equity and 26% with debt.
To calculate the WACC, we multiply the cost of equity by the proportion of equity in the capital structure (0.74) and the cost of debt by the proportion of debt (0.26). We then sum these values to obtain the weighted costs of equity and debt. Finally, we add the weighted costs together to get the WACC.
Using the given information:
WACC = (Cost of Equity * Proportion of Equity) + (Cost of Debt * Proportion of Debt)
= (0.159 * 0.74) + (0.035 * 0.26)
= 0.11766 + 0.0091
= 0.12676 or 12.68%
Therefore, CoffeeCarts' WACC is 12.68%.
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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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28 Selected financial information for Frank Corporation is presented below. Selected 2020 transactions are as follows: a. Purchased investment securities for $6,400 cash. b. Borrowed $17,800 on a two-year, 8 percent interest-bearing note. c. During 2020, sold machinery for its carrying amount, received $13,100 in cash. d. Purchased machinery for $52,800: paid $10,400 in cash and signed a four-year note payable to the dealer for $42.400. e. Declared and paid a cash dividend of $11.400 on December 31, 2020. Selected account balances at December 31, 2019 and 2020 are as follows: December 31 2020 2019 Cash $85,800 $22,400 Accounts receivable Inventory 18,400 12,700 53,400 62,800 8,400 12,800 Accounts payable Accrued wages payable 1,500 2,400 Income taxes payable 6,400 3,700 One-fourth of the sales and one-third of the purchases were made on credit. FRANK CORPORATION statement of Earnings For the Year Ended December 31, 2020. Sales revenue $428,000 cost of sales 282,000 Gross profit 146,000 Expenses Salaries and wages $52,400 Depreciation 10,600 Rent (no accruals) 7,200
The financial information provided for Frank Corporation indicates several selected transactions and account balances for the year 2020. Here is a breakdown of the transactions and balances:
1. Purchased investment securities for $6,400 cash.
2. Borrowed $17,800 on a two-year, 8 percent interest-bearing note.
3. Sold machinery for its carrying amount, received $13,100 in cash.
4. Purchased machinery for $52,800: paid $10,400 in cash and signed a four-year note payable to the dealer for $42,400.
5. Declared and paid a cash dividend of $11,400 on December 31, 2020.
Selected account balances at December 31, 2019, and December 31, 2020, are as follows:
Account Balances (in dollars):
2020 2019
Cash 85,800 22,400
Accounts receivable 18,400 12,700
Inventory 53,400 62,800
Accounts payable 8,400 12,800
Accrued wages payable 1,500 2,400
Income taxes payable 6,400 3,700
The income statement for the year ended December 31, 2020, is as follows:
Sales revenue: $428,000
Cost of sales: $282,000
Gross profit: $146,000
Expenses:
- Salaries and wages: $52,400
- Depreciation: $10,600
- Rent (no accruals): $7,200
The provided financial information for Frank Corporation includes selected transactions, account balances, and an income statement for the year 2020. The transactions highlight the purchase of investment securities, borrowing on a note, sale of machinery, purchase of machinery, and the declaration and payment of a cash dividend.
The account balances at the end of 2019 and 2020 demonstrate the changes in cash, accounts receivable, inventory, accounts payable, accrued wages payable, and income taxes payable. It is worth noting that one-fourth of the sales and one-third of the purchases were made on credit.
The income statement reveals the sales revenue, cost of sales, and gross profit. Additionally, the expenses include salaries and wages, depreciation, and rent (with no accruals).
Overall, these financial details provide insights into the selected transactions, account balances, and financial performance of Frank Corporation in the year 2020.
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A $2.00 decrease in a product's variable cost per unit accompanied by a $2.00 decrease in its selling price per unit will:
A) increase the contribution margin per unit
B) increase the total contribution margin
C) increase the break-even volume.
D) increase the operating leverage
E) increase the contribution margin ratio
F) decrease the contribution margin ratio
G) will have no effect on the contribution margin ratio.
YA $2.00 decrease in a product's variable cost per unit accompanied by a $2.00 decrease in its selling price per unit will increase the contribution margin per unit. Option A is the correct answer.
The contribution margin per unit is the difference between the selling price per unit and the variable cost per unit. In this scenario, both the variable cost per unit and the selling price per unit decrease by $2.00. As a result, the difference between them, which is the contribution margin per unit, will increase by $2.00.
This means that each unit of the product will contribute $2.00 more towards covering fixed costs and generating profit. It improves the profitability of each unit sold by increasing the amount available to cover fixed expenses. However, it is important to note that the total contribution margin (the contribution margin per unit multiplied by the number of units sold) may or may not increase, depending on the change in the number of units sold.
Option A is the correct answer.
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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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On January 1, 2024, Clark Corporation signed a $200,000, two-year, 9% note. The loan required Clark to make payments annually on December 31 of $100,000 principal plus interest. 1. Journalize the issuance of the note on January 1, 2024 2. Journalize the first payment on December 31, 2024 (Record debits first, then credits. Select explanations on the last line of the journal entry) Journalize the issuance of the note on January 1, 2024 Date Accounts Accounts and Explanation Jan 1 Debit CUTE Credit
the interest expense is debited for $9,000, and the notes receivable is credited for $91,000 (principal minus interest).
On January 1, 2024, Clark Corporation signed a $200,000, two-year, 9% note. The loan required Clark to make annual payments on December 31 of $100,000 principal plus interest. Journalize the issuance of the note on January 1, 2024 and the first payment on December 31, 2024?Journalize the issuance of the note on January 1, 2024:
Jan 1, 2024 | Notes Receivable $200,000 | Notes Payable $200,000
Explanation: The journal entry records the issuance of a $200,000 note receivable by Clark Corporation.
Journalize the first payment on December 31, 2024:
Dec 31, 2024 | Notes Payable $100,000 | Interest Expense $9,000 | Notes Receivable $91,000
Explanation: The journal entry records the first payment on the note, which includes $100,000 principal and $9,000 interest. The notes payable is debited for $100,000,
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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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Suppose that the First United Bank of America has two loans. Each is due to be repaid one period hence and has independent and identically distributed cash flows. Each loan will repay $300 with a probability of 0.8 and $150 with a probability of 0.2. However, while the bank knows this, the investors cannot distinguish this loan from that of the Third TransAmerica Bank, which has the same number of loans, but will pay $300 with a probability of 0.5 and $150 with a probability of 0.5. There is a prior belief of 0.5 that the First United Bank of America has the higher-valued portfolio. Suppose that the First United wished to securitize these loans, and if it does so without a credit enhancement, the cost of communicating the true value is 7.5% of the true value. Assume that the discount rate is zero and that everybody is risk-neutral. Consider the following securitization scenario. The First United can create two classes of bondholders in a senior- subordinated structure or junior-senior structure. Class A bondholders will receive the first tranche and are entitled to $300 in aggregate. After they are paid off, class B bondholders are entitled to receive $300 or the residual cash flow, whichever is smaller. Suppose First United can find a credit enhancer. With credit enhancement, class B bondholders can be guaranteed to receive $300. The market for credit enhancement is competitive. Ignoring the possibility of default by the credit enhancer, how much will the First United have to pay the credit enhancer?
A. $122
B. $68
C. $60
D. $75
The First United have to pay the credit enhancer an amount equal to $75,After they are paid off, class B bondholders are entitled to receive $300 Therefore, the correct option is D
A bondholders is $300, which is guaranteed by the senior-subordinated structure. After class A bondholders have been paid off, class B bondholders will receive the lesser of $300 and $210 ($510 minus the $300 paid to class A bondholders).
This will occur with a probability of P. Let's assume that the credit enhancer agrees to pay class B bondholders $90 ($300 minus $210) in the event that they do not receive $300 in cash flows.The net present value of the cash flows for the enhanced structure is thus given by:
NPVenhanced = 300 + P * 90 (1)Now consider the unenhanced structure. After class A bondholders have been paid, class B bondholders will receive the lesser of $270 and $30 ($540 minus $300 paid to class
A bondholders and the $210 paid to class B bondholders if their cash flows are less than $300). This will occur with a probability of P. Therefore, the net present value of the unenhanced structure's cash flows is:
NPVunenhanced = 300 + P * 30 (2)The bank will be indifferent between the enhanced and unenhanced structures if their net present values are equal. As a result, we must solve for X in equation (1) equals equation (2).NPV enhanced = NPV unenhanced 300 + P * 90 = 300 + P * 30
Solving for P, we get:P = 2/3.Substituting this into either equation (1) or equation (2) and solving for X, we obtain:X = 75.Therefore, the First United would have to pay a credit enhancement fee of $75.
Therefore, the correct option is D. $75.
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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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On January 1, 2020, Ultra Green Packaging purchased a used machine for $156,000. The next day, it was repaired at a cost of $4,068 and mounted on a new platform that cost $5,760. Management estimated that the machine would be used for seven years and would then have a $21,600 residual value. Depreciation was to be charged on a straight-line basis to the nearest whole month. A full year's depreciation was charged on December 31, 2020, through to December 31, 2024, and on April 1, 2025, the machine was retired from service. mana Required 1. Prepare journal entries to record the purchase of the machine, the cost of repairing it, and the installation. Assume that cash was paid. 2. Prepare entries to record depreciation on the machine on December 31, 2020, and on April 1, 2025
1. Journal entries for the purchase of the machine, the cost of repairing it, and the installation: Date Account Title Debit Credit
January 1, 2020Equipment156,000Cash156,000
January 2, 2020Repairs expense 4,068Cash4,068
January 2, 2020 Equipment 5,760 Cash 5,7602.
Entries to record depreciation on December 31, 2020, and April 1, 2025:
December 31, 2020Depreciation expense
([$156,000 – $21,600]/7 years)20,400
Accumulated depreciation 20,400April 1, 2025
Accumulated depreciation96,600
Equipment156,000
Gain on disposal ([$26,400 – $21,600] + $96,600 – $156,000) 4,400Cash96,000
Note: The depreciation for the full year of 2020 was recorded. As a result, there will be no more depreciation recorded in 2025.
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The likelihood of an investment newsletter's successfully predicting the direction of the market for four consecutive years by chance should be
greater than 70%.
between 25% and 50%.
between 10% and 25%.
between 6% and 10%.
between 0% and 5%
According to the Binomial distribution, the probability of an investment newsletter successfully predicting the direction of the market for four consecutive years is 6.25%. Hence, the answer is "between 0% and 5%.
"How can we find the likelihood of an investment newsletter's successfully predicting the direction of the market for four consecutive years?The likelihood of an investment newsletter's successfully predicting the direction of the market for four consecutive years can be determined by employing the binomial probability formula.
Let P = the probability of predicting the direction of the market correctly for one year. Since the market direction can either go up or down, there is a 50/50 chance of making the right prediction.
Thus P = 0.5 (50/50).Now we have to find the likelihood of predicting the market direction correctly for four consecutive years. We can do this with the following formula:P(4) = C(4,4) × (0.5)⁴(0.5)⁰Where C(4,4) is the combination of 4 things taken 4 at a time, or 1.
It can also be written as 4! / (4 - 4)! 4! = 1 × 3 × 2 × 1 / 1 × 3 × 2 × 1 = 1This implies that P(4) = (1) × (0.5)⁴(0.5)⁰ = 0.0625 or 6.25%. Therefore, the likelihood of an investment newsletter successfully predicting the direction of the market for four consecutive years by chance should be between 0% and 5%.Thus,
Therefore the correct option is between 0% and 5%.
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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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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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Provide a report-quality* cumulative relative frequency polygon data, along with a table that summarizes your grouped data. Find/show the 80th percentile on the plot and comparé.
To find the 80th percentile, you would need a dataset or grouped data. Once you have the data, follow these steps:
1. Arrange the data in ascending order.
2. Calculate the cumulative relative frequency for each data point. The cumulative relative frequency represents the proportion of data points that are less than or equal to a given value.
3. Create a cumulative relative frequency polygon by plotting the cumulative relative frequencies against the corresponding data points. This polygon shows the cumulative distribution of the data.
4. Locate the 80th percentile on the plot, which corresponds to the value below which 80% of the data falls.
5. Compare the 80th percentile value with the rest of the data points to understand its position within the dataset.
Please note that without the actual data, I can only provide general guidance on how to calculate and interpret percentiles. If you have the dataset or grouped data, you can perform the calculations and create the cumulative relative frequency polygon to determine the 80th percentile and compare it with the rest of the data points.
About PercentileIn statistics, the k-th percentile, also known as the score percentile or percentile, is the score below a certain k percentage of the scores in its frequency distribution or the score at or below a certain percentage decrease.
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ased on the class discussion, Volkswagen's multi-billion-dollar costs associated with the recent diesel car recall is the best example of Multiple Choice an internal failure cost an external failure cost an ethical failure cost a prevention cost
Based on the class discussion, Volkswagen's multi-billion-dollar costs associated with the recent diesel car recall is the best example of an external failure cost. These costs arise from defects or failures that occur after the product has been delivered to customers and can include recalls, warranty claims, legal settlements, and damage to the company's reputation.
In the case of Volkswagen's diesel car recall, the company incurred significant costs due to the discovery of emission cheating software in their vehicles. These costs can be categorized as external failure costs because they occurred after the cars were sold to customers. The recall, legal settlements, and potential lawsuits imposed a substantial financial burden on the company. Additionally, the scandal damaged Volkswagen's reputation, leading to a loss of customer trust and decreased sales. These external failure costs highlight the consequences of product defects or ethical failures that occur in the marketplace and have a direct impact on a company's financial performance and brand image.
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The treasurer for Pittsburgh Iron Works wishes to use financial futures to hedge her interest rate exposure. She will sell five Treasury futures contracts at $107,000 per contract. It is July and the contracts must be closed out in December of this year. Long-term interest rates are currently 16.30 percent. If they increase to 17.50 percent, assume the value of the contracts will go down by 15 percent. Also, if interest rates do increase by 1.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of $90,000. This expense, of course, will be separate from the futures contracts.
a. What will be the profit or loss on the futures contract if interest rates increase to 17.50 percent by December when the contract is closed out? Profit on futures contracts
b-1. After considering the hedging, what is the net cost to the firm of the increased interest expense of $90,000? Net cost 8 oints eBook Hint Print References Check my work b-1. After considering the hedging, what is the net cost to the firm of the increased interest expense of $90,000? Net cost
b-2. What percent of this $90,000 cost did the treasurer effectively hedge away? (Input your answer as a percent rounded to 2 decimal places.) Percentage hedged away %
c. Indicate whether there would be a profit or loss on the futures contracts if interest rates went down. Loss Profit
A. The profit or loss on the futures contract if interest rates increase to 17.50 percent will be a loss of $80,250.
B-1. The net cost is $90,000 - Hedged portion
B-2. The percentage hedged away is 89.16%.
C. The treasurer would make a profit on the futures contracts.
How did we arrive at these values?a. To calculate the profit or loss on the futures contract if interest rates increase to 17.50 percent, we need to determine the change in the value of the contracts.
Given:
Initial value of each contract = $107,000
Number of contracts = 5
Percentage decrease in value if interest rates increase = 15%
Change in value per contract = $107,000 * 15% = $16,050
Total change in value for five contracts = $16,050 * 5 = $80,250
Profit or loss on the futures contract = Total change in value = -$80,250
Therefore, the profit or loss on the futures contract if interest rates increase to 17.50 percent will be a loss of $80,250.
b-1. The net cost to the firm of the increased interest expense of $90,000 can be calculated by subtracting the hedged portion from the total expense.
Net cost = Increased interest expense - Hedged portion
Net cost = $90,000 - Hedged portion
b-2. To calculate the percentage of the $90,000 cost that the treasurer effectively hedged away, we need to determine the hedged portion as a percentage of the total expense.
Hedged portion = Change in value of futures contracts / Total expense
Hedged portion = $80,250 / $90,000
Percentage hedged away = Hedged portion * 100%
Percentage hedged away = ($80,250 / $90,000) * 100%
c. If interest rates go down, the treasurer would make a profit on the futures contracts.
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Morning automation LTD issued 6%, can your bounce with a face value of $100 million at par on may 1, 2020. The bonds pay interests on October 31 and April 30 each year. The first payment was Made on October 31, 2020. Morning's year end is December 31.
a. Determine the cast received on issuence and the yield for the 10-year bonds issued by morning automation.
b. Prepare di jurnal entry for the issuance of the bond.
c. Prepare di jurnal entries required at October 31, 2020 and the entry for the interest payment on April 30, 2021.
a. To determine the cash received on issuance, we need to calculate the present value of the bond. The bond has a face value of $100 million, a coupon rate of 6%, and pays interest semi-annually. The yield for the 10-year bond needs to be provided in order to calculate the present value.
b. The journal entry for the issuance of the bond would be as follows:
Debit: Cash (amount received on issuance)
Credit: Bonds Payable (face value of the bond)
c. At October 31, 2020:
We need more information to provide the journal entry for this date. Specifically, the interest expense and the amortization of the bond discount or premium would be required.
On April 30, 2021:
The journal entry for the interest payment would be as follows:
Debit: Interest Expense (interest payment amount)
Credit: Cash (interest payment amount)
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A machine has a first cost of 500.000 ₺ and a salvage value of 93.500 ₺ after n years. The book value at the end of 3rd year is calculated as 364.500 ₺. Find the value of ""n""? a) Assuming that straight line depreciation method is used. b) Assuming that double declining balance depreciation method is used. c) A car has a first cost of 240.000 ₺ and a salvage value of 81.250 ₺ after 8 years. What is the depreciation in the 5th (D5=?) year if you switch between depreciation methods (start with double declining balance and switch to straight line when necessary)? (DDB formulas: Dt=dB(1 – d)t-1 =dBVt-1 and BVt=B(1 – d)t )
A machine has a first cost of 500.000 ₺ and a salvage value of 93.500 ₺ after n years. The depreciation in the 5th year is 19,343.75.
First cost (FC) = 500,000
Salvage value (SV) = 93,500.
Book value after 3 years (BV) = 364,500.
We know that the depreciation per year (D) = (FC - SV) / n BV = FC - D × 3 years⇒ 364,500 = 500,000 - D × 3 years D = (500,000 - 364,500) / 3 = 45,500.
Now D = (FC - SV) / n45,500 = (500,000 - 93,500) / n n = 8.41 ≈ 8 (approx.)
First cost (FC) = 500,000 Salvage value (SV) = 93,500.
Double declining rate (d) = 2 / n At the end of 2nd year.
the book value (BV2) = FC × (1 - d)2= 500,000 × (1 - 2 / n)
Given, BV3 = 364,500.
By using BV2, we have BV2 × (1 - d) = 364,500BV2 = 428,125 (approx.)
Hence, BV2 × (1 - d) = 364,500428,125 × (1 - d) = 364,5001 - d = 364,500 / 428,125d = 0.15Now, d = 2 / n⇒ 0.15 = 2 / n. n = 13.33 ≈ 13 years.
Now, to switch from Double Declining Balance to Straight-Line in 3rd year, we need to find the book value at the end of the second year by DDB method.
Book Value after 3 years = BV3 = FC - D1 - D2 - D3= 240,000 - 60,000 - 45,000 - BV3 × d= 240,000 - 60,000 - 45,000 - (BV2 - D1) × d...[By using BV2 = FC × (1 - d)2]BV3 = 68,750.
Hence, 240,000 - 60,000 - 45,000 - (68,750 - 60,000) × 0.25 = 19,375.
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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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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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if auditors are appointed on january 3, 2014, the date of the financial statements is december 31, 2014, the date of the auditors' report is february 7, 2015 and the audit report release date is march 3, 2015, what is the appropriate date of the written representations?
As per the given scenario, the date of the financial statements is December 31, 2014, and the date of the auditor's report is February 7, 2015. Therefore, the appropriate date of the written representations is December 31, 2014.
Financial statements refer to formal records of a company's financial activity, earnings, expenses, profits, and balance sheet for a specified period. It offers a picture of the overall financial status of the company. Financial statements comprise of the following:Statement of financial position: it shows the company's assets, liabilities, and equity at a particular period of time.
Statement of comprehensive income: it presents the revenue and expense of the company for a specified period.Statement of changes in equity: it summarizes the changes in the company's equity during the specified period.Cash flow statement: it reflects the company's inflow and outflow of cash during the period of time covered by the financial statements.
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Changing process mean will always improve capability. Justify your answer in support or against of the statement?
Reducing process variation is also important in achieving the desired process capability.
It is not always true that changing process mean will always improve capability. Although process mean is an important aspect in measuring process performance, other factors such as process variation and defects rate also play a vital role in determining the process capability. Process capability is the ability of a process to produce output that meets the customer's specification. It is determined by measuring the process performance in terms of process mean and standard deviation. In order to improve process capability, process mean needs to be shifted closer to the target value and the process variation needs to be reduced. However, changing the process mean does not always guarantee an improvement in process capability. If the process variation is still high, then there is still a risk of producing output that is out of specification. Therefore, it is important to reduce the process variation along with shifting the process mean to improve process capability. In conclusion, while changing process mean is an important aspect in improving process capability, it is not always enough. Reducing process variation is also important in achieving the desired process capability.
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You are pleased to see that you have been given a 4.68% raise this year. However, you read on the Wall Street Journal Web site that inflation over the past year has been 1.75%. How much better off are you in terms of real purchasing power?
You received a 4.68% raise this year, but inflation was at 1.75%. In terms of real purchasing power, you are approximately $1,465 better off after accounting for the raise and inflation.
The purchasing powerTo determine how much better off you are in terms of real purchasing power, we need to calculate the difference between your raise and the inflation rate.
The raise in terms of percentage increase in purchasing power is:
Raise percentage = 4.68% - 1.75%
= 2.93%
The actual increase in purchasing power using this percentage is:
Actual increase in purchasing power = (2.93% / 100) * Your previous purchasing power
For example, if your previous purchasing power was $50,000, the actual increase would be:
Actual increase in purchasing power = (2.93% / 100) * $50,000
= 0.0293 * $50,000
= $1,465
Therefore, you are approximately $1,465 better off in terms of real purchasing power, considering the raise and the inflation rate.
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a. Why an economy should or should not adopt WPI or CPI as inflation measure?
b. Explain the actions the Central Bank can take to increase the money supply.
c. Explain why the Central Bank cannot control the exact size of the money supply.
a. Consumer Price Index (CPI) as the inflation measure depends on the specific context and policy goals.
b. Actions the Central Bank can take to increase the money supply include open market operations, lowering reserve requirements.
c. The Central Bank cannot control the exact size of the money supply due to factors such as public demand for money, lending decisions.
a. The choice of whether to adopt the Wholesale Price Index (WPI) or Consumer Price Index (CPI) as the inflation measure depends on various factors. WPI measures changes in the average prices of goods at the wholesale level, while CPI measures changes in the average prices of goods and services at the consumer level.
Advocates for using WPI argue that it captures price changes earlier in the supply chain and provides insights into inflationary pressures faced by producers. This can be useful for businesses in making pricing decisions and managing costs.
On the other hand, proponents of CPI argue that it reflects changes in the cost of living experienced by households and provides a more comprehensive measure of inflation's impact on consumers.
b. Central banks have several tools to increase the money supply. One common action is conducting open market operations, which involve buying government securities from commercial banks, injecting money into the economy.
Lowering reserve requirements is another method, whereby the Central Bank reduces the percentage of deposits that banks must hold in reserve, allowing them to lend more and increase the money supply.
Additionally, the Central Bank can lower the discount rate, which is the interest rate at which it lends to commercial banks. This reduction encourages banks to borrow more, increasing the money supply.
c. The Central Bank cannot control the exact size of the money supply due to various factors. First, public demand for money, driven by economic conditions and consumer preferences, affects the velocity of money circulation.
Second, commercial banks play a role in creating and expanding the money supply through lending decisions, which are influenced by factors like economic conditions and risk assessments. Lastly, changes in the money supply can be influenced by factors beyond the Central Bank's control, such as government spending and fiscal policy.
These complexities make it challenging for the Central Bank to precisely determine and control the exact size of the money supply, even though it has tools and policies to influence its growth or contraction.
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one checks the ____ in the spss output to see if there is collinearity among the x’s in the multiple regression model,
Answer : one checks the Variance Inflation Factor (VIF) to see if there is collinearity among the x’s in the multiple regression model.
Explanation :
In the SPSS output, one checks the Variance Inflation Factor (VIF) to see if there is collinearity among the x’s in the multiple regression model.
What is Variance Inflation Factor (VIF)? The Variance Inflation Factor (VIF) is used to calculate the effect of multi-collinearity on the coefficients in a regression analysis. VIF estimates the level of correlation between two predictor variables in a regression model, the extent to which the variance of a variable is amplified compared to what is expected because of multicollinearity.
In general, if theVariance Inflation Factor (VIF) is more than 10, it is assumed that multi collinearity is causing a problematic situation for the model.Therefore, one must check for collinearity in the x's when performing multiple regression.
Variance Inflation Factor is a reliable measure to estimate the correlation between two predictor variables, so we use it to check collinearity in the SPSS output.One can calculate the VIF using the following equation:VIF = 1 / (1 - R^2)where R^2 is the coefficient of determination.
The SPSS output provides the value of Variance Inflation Factor (VIF) to check for collinearity in the x's in the multiple regression model. Therefore, one checks the Variance Inflation Factor (VIF) in the SPSS output to see if there is collinearity among the x's in the multiple regression model.
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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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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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The Campbell Soup Company in Camden, NJ, runs many different types of advertising campaigns to reach their target markets. They have found that "old school" paper mailings directly to homes work well, especially among mothers. They have also found that online social media advertising works well to reach some people too. As Campbell's gets ready to do an advertising campaign in Miami, Florida, they did a small test run and learned that for every one thousand (1,000) printed ads sent via paper mail, they can generate $29,000 in new revenue. Differing, this test run found that for every one thousand (1,000) online media ads, they generated $20,000 in new revenue. Note that one of these numbers are different and UPDATED. But advertising in a market the size of Miami is expensive! From their Advertising budget limited to $10,000, an online ad costs $2,000 and a mailed printed ad costs $2,500. From their Marketing budget limited to $20,000, an online ad costs $3,000 and a mailed printed ad costs $3,300. From their Corporate budget limited to $20,000, an online ad costs $2,000 and a mailed printed ad costs $1,000. Question: given this data - which is represented in the template file found on Canvas under Test 1 entitled "Ch3 test problem resource allocation.xlsx" - how many mailed printed ads should Campbell's run? The correct answer will be found using this template file, and seeing the results found in cell C11. Hint: you must populate cells B2 and C2, and then run Solver. Numeric Response
Campbell's should run approximately 3,077 mailed printed ads in Miami to maximize their revenue.
What is the optimal number of mailed printed ads Campbell's should run, given the provided data and budget constraints, as determined by the Solver tool in the template file "Ch3 test problem resource allocation.xlsx"?To determine the number of mailed printed ads Campbell's should run, we can use the provided template file and Solver tool. Here's how to do it:
1. Open the template file "Ch3 test problem resource allocation.xlsx" from Canvas.
2. Populate cells B2 and C2 with the number of mailed printed ads and online media ads to test, respectively.
3. In cell C11, you will find the total revenue generated from the given advertising campaign setup.
4. We need to find the number of mailed printed ads that maximizes the total revenue while staying within the budget constraints. To do this, we'll use the Solver tool.
5. In Excel, go to the "Data" tab and click on "Solver" in the "Analysis" group.
6. In the Solver Parameters dialog box, set the following options:
- Set Objective: C11
- To: Max
- By Changing Variable Cells: B2
- Subject to the Constraints: (Here we'll set the budget constraints)
7. Click on the "Add" button to add the first constraint. In the Cell Reference, select C15 (cell representing the Advertising Budget) and choose the "Less than or equal to" relationship. In the Constraint box, enter 10000 (the limit for the Advertising Budget).
8. Click on the "Add" button again to add the second constraint. In the Cell Reference, select C16 (cell representing the Marketing Budget) and choose the "Less than or equal to" relationship. In the Constraint box, enter 20000 (the limit for the Marketing Budget).
9. Click on the "Add" button once more to add the third constraint. In the Cell Reference, select C17 (cell representing the Corporate Budget) and choose the "Less than or equal to" relationship. In the Constraint box, enter 20000 (the limit for the Corporate Budget).
10. Click "OK" to close the Add Constraints dialog box.
11. Click "Solve" in the Solver Parameters dialog box to find the optimal solution.
After the Solver completes, it will display the optimal value for B2 (the number of mailed printed ads) in cell B2. This value represents the number of mailed printed ads Campbell's should run to maximize revenue while staying within the budget constraints.
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Consider a firm A that wishes to acquire an equipment. The equipment is expected to reduce costs by $6000 per year. The equipment costs $21000 and has a useful life of 8 years. If the firm buys the equipment, they will depreciate it straight-line to zero over 8 years and dispose of it for nothing. They can lease it for 8 years with an annual lease payment of $7000. If the after-tax interest rate on secured debt issued by company A is 3% and tax rate is 40%, what is the Net Advantage to Leasing (NAL)?(keep two decimal places)
The Net Advantage to Leasing (NAL) is -$12,950, indicating that it is more advantageous for the firm to buy the equipment rather than leasing it.
To calculate the Net Advantage to Leasing (NAL), we need to compare the costs of buying the equipment to the costs of leasing it.
If the firm buys the equipment, the initial cost is $21,000. The annual cost reduction from using the equipment is $6,000. The useful life of the equipment is 8 years.
To calculate the after-tax cost of buying the equipment, we need to consider the tax shield from depreciation. The depreciation expense each year is $21,000 / 8 = $2,625. The tax shield is equal to the depreciation expense multiplied by the tax rate, which is $2,625 * 0.4 = $1,050.
Therefore, the after-tax cost of buying the equipment is $21,000 - $1,050 = $19,950 per year.
On the other hand, if the firm leases the equipment, the annual lease payment is $7,000.
To calculate the Net Advantage to Leasing, we subtract the after-tax cost of leasing from the after-tax cost of buying: NAL = (After-tax cost of leasing) - (After-tax cost of buying).
The after-tax cost of leasing is $7,000 per year.
The Net Advantage to Leasing (NAL) is NAL = $7,000 - $19,950 = -$12,950.
Therefore, the Net Advantage to Leasing (NAL) is -$12,950, indicating that it is more advantageous for the firm to buy the equipment rather than leasing it.
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