The standard deviation of the given stock returns can be calculated using the following steps:Step 1: Calculate the mean of the returns by adding all the returns and dividing by the total number of returns. mean = (18.90 + 22.51 - 15.89 + 9.35 + 28.42) / 5 = 12.26Step .
Calculate the deviation of each return from the mean. Deviations = [(18.90 - 12.26), (22.51 - 12.26), (-15.89 - 12.26), (9.35 - 12.26), (28.42 - 12.26)] = [6.64, 10.25, -28.15, -2.91, 16.16]Step 3: Square each deviation value. [6.64², 10.25², (-28.15)², (-2.91)², 16.16²] = [44.14, 105.06, 792.77, 8.49, 261.27]Step 4: Calculate the mean of the squared deviation values obtained in step .
mean of squared deviations = (44.14 + 105.06 + 792.77 + 8.49 + 261.27) / 5 = 242.15Step 5: Calculate the square root of the mean of the squared deviation values obtained in step 4. standard deviation = √242.15 ≈ 15.57Therefore, the standard deviation of the given stock returns is approximately equal to 15.57.
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The standard deviation of the returns is 17.40%.Therefore, the standard deviation of the returns of the stock is 17.40%.
To compute the standard deviation of returns, follow the steps below:1. Find the arithmetic average of returns.2. Compute the deviation from the average for each return.3. Square each deviation from the average.4. Find the average of the squared deviations. 5. Compute the square root of the average squared deviations to obtain the standard deviation of the returns of the stock. The formula for the Standard deviation of returns is:$$\sqrt{\frac{\sum_{i=1}^n(x_i - \mu)^2}{n-1}}$$where;$n$ = 5, the number of returns $x_i$ represents the $i^{th}$ return;$\mu$ is the arithmetic mean return. To obtain the standard deviation of the returns of the stock, follow the steps below: Step 1: Calculate the mean return$\mu$ = $\frac{\sum_{i=1}^n x_i}{n}$= $\frac{18.90 + 22.51 - 15.89 + 9.35 + 28.42}{5}$= 12.66%Step 2: Calculate the deviation from the average for each return. Deviation from the average for each return can be found by subtracting the average from each of the returns.$$x_i - \mu$$. Therefore, the deviations are:$18.90 - 12.66$ = $6.24$$22.51 - 12.66$ = $9.85$$-15.89 - 12.66$ = $-28.55$$9.35 - 12.66$ = $-3.31$$28.42 - 12.66$ = $15.76$Step 3: Square each deviation from the average.$$ (x_i - \mu)^2 $$Therefore, the squared deviations are:$6.24^2 = 38.94$$9.85^2 = 97.02$$(-28.55)^2 = 815.30$$(-3.31)^2 = 10.96$$15.76^2 = 248.68$Step 4: Find the average of the squared deviations. The average of the squared deviations is the variance of the returns.$$\frac{\sum_{i=1}^n(x_i - \mu)^2}{n-1}$$. Therefore, the variance is;$$\frac{38.94 + 97.02 + 815.30 + 10.96 + 248.68}{5-1} = \frac{1210.90}{4} = 302.725$$Step 5: Compute the square root of the average squared deviations to obtain the standard deviation of the returns.$$\sqrt{302.725} = 17.40$$. Hence, the standard deviation of the returns is 17.40%.Therefore, the standard deviation of the returns of the stock is 17.40%.
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As a newly hired production engineer, you first project was to study one of the underperforming manufacturing cells. The situation description is as follows. Two products are manufactured on two sequential machines A and B. The machining times in minutes per unit of the two products are given in the table below. Machining time in minutes per unit Machine Product 1 Product 2 A 4 5 B 5 3 Management has the following goals: • Goal 1) A production rate of 70 units for product 1 per day • Goal 2) A production rate of 80 units for product 2 per day Further, and given the need for machine B for a special type of maintenance, it was decided to also have it as a goal. Thus, the usage of machine B was set at 420 minutes. The available time for each machine is 8 hours per day. Use equal penalties to formulate the problem as a goal programming problem. Cleary show the penalties (define variables first).
Two products are manufactured on two sequential machines A and B. The machining times in minutes per unit of the two products are given in the table below. Machine Product 1 Product 2 A 4 5 B 5 3.
As a newly hired production engineer, you first project was to study one of the underperforming manufacturing cells. The situation description is as follows: Two products are manufactured on two sequential machines A and B. The machining times in minutes per unit of the two products are given in the table below:Machine Product 1 Product 2 A 4 5 B 5 3 Goal programming problems:Goal programming, a sub-discipline of multi-objective programming, can be used to solve the current problem. The goal programming problem can be formulated as follows: Minimize the deviation from the goals: Z= Σ(α+β+γ)Penalty coefficients:α = the penalty for the underachievement of goal 1,β = the penalty for the underachievement of goal 2,γ = the penalty for the underachievement of goal 3. Variables:Xij = number of minutes spent producing product i on machine j, (i=1,2; j=A,B). The model can be formulated as follows: Minimize Z= α+ β+ γWhereα = 70 - x11 - x12β = 80 - x21 - x22γ = 420 - x12 - x22 and xij ≥0i = 1,2; j = A,BA production engineer was hired for a specific manufacturing cell. Two products are manufactured on two sequential machines A and B. The machining times in minutes per unit of the two products are given in the table below. Machine Product 1 Product 2 A 4 5 B 5 3.
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Graw Hall Espresso Express operates a number of espresso coffee stands in busy suburban mals. The fixed weekly expense of a coffee stand $1600 and the variable cost per cup of coffee served is $0.46 Required: 1 Fill in the following table with your estimates of the company's total cost and average cost per cup of coffee at the indicated levels of activity 2. Does the average cost per cup of coffee served increase decrease or remain the same as the number of cups of coffee served in a week increases? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Fill in the following table with your estimates of the company's levels of activity. (Round the "Average cost per cup of coffee cost and average cost per cup of coffee at the dicated to 3 decemal places) 2.200 2.400 Foxed cost Variable co Total co Average cost p r cup of cofe
Graw Hall Espresso Express operates coffee stands and incurs a fixed weekly expense of $1600 and a variable cost of $0.46 per cup of coffee served. The table needs to be filled with estimates of the company's total cost and average cost per cup of coffee at different levels of activity.
To fill in the table, we can use the formula for total cost, which is the sum of fixed costs and variable costs. The fixed cost of $1600 remains the same regardless of the number of cups served. The variable cost per cup of coffee served is $0.46, so to find the total cost at each level of activity, we multiply the variable cost by the number of cups served.
For example, at an activity level of 2,200 cups served, the total cost would be $1600 (fixed cost) plus (2,200 cups × $0.46) = $1600 + $1012 = $2612. Similarly, we can calculate the total cost and average cost per cup of coffee at other levels of activity.
To determine whether the average cost per cup of coffee served increases, decreases, or remains the same as the number of cups served increases, we need to compare the average cost at different levels of activity. If the average cost per cup of coffee decreases as the number of cups served increases, it indicates economies of scale, where the fixed costs are spread over a larger number of cups, resulting in lower average cost. Conversely, if the average cost increases, it suggests diseconomies of scale, where the fixed costs are not efficiently utilized, leading to higher average cost. By examining the values in the table, we can determine the trend of the average cost per cup of coffee served as the activity level increases and identify whether it increases, decreases, or remains the same.
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please answer these asap
5. Raj Chemical a leading Chemical Manufacturing company based in Coimbatore, TamilNadu had reasonable sales territory is southern and western Indian Markets. They suffered a lot During the last coupl
Raj Chemical, a leading Chemical Manufacturing company based in Coimbatore, Tamil Nadu, was affected by the GST, demonetization, and slow economic growth. It impacted the company's sales, profits, and employees.
Raj Chemical is a leading chemical manufacturing company based in Coimbatore, Tamil Nadu, and has reasonable sales territory in southern and western Indian markets. However, the company suffered significant losses during the last couple of years due to various reasons such as GST, demonetization, and slow economic growth. These factors impacted the company's sales, profits, and employees. The implementation of GST in 2017 resulted in an increase in tax rates, leading to a rise in the cost of production, which ultimately led to a reduction in sales. Similarly, demonetization also impacted the company's sales as it resulted in a liquidity crunch in the market, and people were hesitant to spend money. The slow economic growth in the country resulted in a decrease in demand for chemicals, further impacting the company's sales. Due to the decrease in sales, the company's profits were significantly impacted, and as a result, they had to reduce the salaries of their employees. This led to job insecurity among the employees, which created an unhealthy work environment. Therefore, the company had to take various measures to improve its sales and profits, such as reducing costs, improving quality, and exploring new markets.
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Suppose that a manufacturer and its retailer both operate as a market monopoly. The retailer experiences no transaction cost for buying form the manufacturer, and the marginal cost of manufacturing is constant at 20. Market demand for the manufactured product is p = 100 - 2Q.
How much would the manufacturer and the retailer charge if they operate separately? Calculate their individual and joint profits. (16 points)
Are the prices derived in (a) Nash Equilibrium prices? Please explain in words. (6 points)
Based on your answers to (a), explain what Double Marginalization is. (6 points)
If the manufacturer and the retailer merge, how much would the vertically integrated firm charge the consumers? Calculate the profit, the Lerner Index, and the demand elasticity of the integrated firm. (14 points)
Does social welfare improve under vertical integration? Please explain why using your intuition. (6 points)
To calculate the prices, profits, and analyze the Nash Equilibrium, Double Marginalization, and the impact of vertical integration, we'll follow the steps outlined in the question:
Step 1: Calculate individual prices and profits for the manufacturer and the retailer operating separately.
Given:
Market demand: p = 100 - 2Q
Marginal cost of manufacturing (MC) = $20
To find the individual prices, we need to determine the quantities produced by the manufacturer (QM) and the retailer (QR). We can find these quantities by maximizing their individual profits.
To maximize manufacturer's profit, we take the derivative and set it equal to zero:
dPM/dQM = 80 - 4QM = 0
4QM = 80
QM = 20
To maximize retailer's profit, we take the derivative and set it equal to zero:
dPR/dQR = 80 - 4QR = 0
4QR = 80
QR = 20
Substituting QM = QR = 20 into the demand equation to find the prices:
p = 100 - 2Q
p = 100 - 2(20)
p = 100 - 40
p = 60
Manufacturer's price (PM) = 60
Retailer's price (PR) = 60
Manufacturer's profit (πM) = PM * QM = 60 * 20 = $1200
Retailer's profit (πR) = PR * QR = 60 * 20 = $1200
Step 2: Analyze Nash Equilibrium and Double Marginalization.
Nash Equilibrium occurs when both the manufacturer and the retailer are maximizing their profits given the prices charged in the market. In this case, the prices derived (PM = PR = $60) are Nash Equilibrium prices because neither the manufacturer nor the retailer can increase their profits by unilaterally changing their price.
Double Marginalization refers to the inefficiencies that arise when a vertically separated supply chain has multiple monopolistic intermediaries, each charging a markup on their cost.
In this scenario, the manufacturer and the retailer each operate as monopolies, charging prices above their marginal costs. This results in a double markup and higher prices for consumers compared to a vertically integrated supply chain.
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On September 2018 the crude oil’s spot price is $54 and its May 2019 futures price is $50.50. On March 2019, the spot price is $55.50 and the May 2019 futures price is $55. A company entered into one futures contracts on September 2018 in order to hedge its purchase of 1,000 barrels of crude oil on March 2019 (one futures contract is for the delivery of 1,000 barrels). It closes out its position in March 2019. What is the effective price (after taking account of hedging) paid by the company? What is the basis on March 2019? How would you describe the impact of the basis on the effective price paid by the company?
The effective price paid by the company, taking into account hedging, is $55.50 per barrel. The basis on March 2019 is $0.50 per barrel.
The company entered into one futures contract on September 2018 to hedge its purchase of 1,000 barrels of crude oil on March 2019. The futures price in September 2018 was $50.50 per barrel, and the spot price at that time was $54 per barrel.
When the company closes out its position in March 2019, the spot price has increased to $55.50 per barrel, while the futures price for May 2019 is $55 per barrel. The effective price paid by the company, after taking into account hedging, is equal to the spot price at the time of closing out the position, which is $55.50 per barrel.
The basis on March 2019 is calculated as the difference between the spot price and the futures price, which is $55.50 - $55 = $0.50 per barrel. This means that the spot price is $0.50 higher than the futures price.
The impact of the basis on the effective price paid by the company is favorable. Since the basis is positive ($0.50), it reduces the price the company pays from the futures price ($55 per barrel) to the spot price ($55.50 per barrel). This results in a lower effective price paid by the company, providing a benefit in terms of cost.
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ABC Co. sells snowboards to customers. During the month of September, the company sold 115 snowboards. ABC uses a periodic inventory system. The following information is collected: Date Units of purchase Unit Cost Total Cost Sep -1 32 $100 $3,200 Sep-3 50 106 $5,300 Sep-19 25 107 $2,675 Sep-26 32 109 $3,488 139 $14,663 What is the cost of ending inventory if the company uses LIFO costing system? a. 2,400 b. 2,532 c. 2,616 d. None of the above Answer 7. ABF is a merchandising company, selling computers. During the first month of operation, it purchased inventory of $ 525,000 and sold the computers for $ 1,020,000. Ending inventory consists of computers worth $15,000. What’s the cost of goods sold for the month? a. 495,000 b. 515,000 c. 480,000 d. 510,000 Answer 8. The following information has been extracted from the financial statements and notes thereto of Complicated Limited Co. 2019 2018 Services Revenue $580 000 $575 000 Interest expense 23 000 26 500 Income tax expense 44 600 53 000 Profit 52 500 56 100 Preference dividends 2 800 2 800 Total assets 540 000 555 000 Total liabilities 300 000 330 000 Preference share capital 62 000 62 000 Ordinary share capital 110 000 100 000 Retained earnings 68 000 63 000 Assuming the company uses total assets in calculating return on asset, the return on asset for 2019 is? a. 9.7% b. 10.1% c. 5.9% d. 7.8% Answer 9. The following information has been extracted from the financial statements and notes thereto of Complicated Limited Co. 2019 2018 Services Revenue $580 000 $575 000 Interest expense 23 000 26 500 Income tax expense 44 600 53 000 Profit 52 500 56 100 Preference dividends 2 800 2 800 Total assets 540 000 555 000 Total liabilities 300 000 330 000 Preference share capital 62 000 62 000 Ordinary share capital 110 000 100 000 Retained earnings 68 000 63 000 The Debt to asset ratio for 2018 is? a. 0.56 b. 0.905 c. 0.976 d. 0.59
The cost of ending inventory using the LIFO costing system is $2,532.
The cost of goods sold for the month is $480,000.
The return on assets for 2019 is 7.8%.
The debt to asset ratio for 2018 is 0.56.
To calculate the cost of ending inventory using the LIFO (Last-In, First-Out) costing system, we assume that the most recent purchases are the first to be sold. Based on the given information, the total cost of purchases is $14,663, and the company sold 115 snowboards.
To determine the cost of ending inventory, we need to subtract the cost of goods sold (115 snowboards) from the total cost of purchases.
The calculation is as follows: $14,663 - (115 x $109) = $14,663 - $12,535 = $2,128. Therefore, none of the provided options is correct, and the cost of ending inventory is $2,128.
The cost of goods sold is calculated by subtracting the cost of ending inventory from the total cost of goods available for sale.
In this case, the total cost of goods available for sale is $525,000, and the cost of ending inventory is $15,000.
Therefore, the cost of goods sold is $525,000 - $15,000 = $510,000. Thus, option (d) $510,000 is the correct answer.
The return on assets is calculated by dividing the profit by the total assets and multiplying by 100. For 2019, the profit is $52,500, and the total assets are $540,000.
Thus, the return on assets is ($52,500 / $540,000) x 100 ≈ 9.7%. Therefore, option (a) 9.7% is the correct answer.
The debt to asset ratio is calculated by dividing the total liabilities by the total assets. For 2018, the total liabilities are $330,000, and the total assets are $555,000.
Thus, the debt to asset ratio is $330,000 / $555,000 ≈ 0.594. Therefore, option (d) 0.59 is the correct answer.
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on january 2, 20x1, the blue legal clinic issued check 2108 for $250 to establish a petty cash fund. indicate how this transaction would be recorded in a general journal.
The entry must reflect the cash account as an increase and the petty cash account as a non-increase.
A general journal is a bookkeeping ledger that helps to track and record financial transactions made by a company.
Petty cash funds are the small amount of cash a business has set aside for miscellaneous expenses. The establishment of a petty cash fund is usually made through a check, which is recorded as follows:
The transaction on January 2, 20X1, would be recorded in the General Journal as follows:
Accounts Debit Credit Petty Cash $250Cash in Bank $250
To establish a petty cash fund, the blue legal clinic issues a check for $250. The cash account in the general ledger reflects the check, but the petty cash account does not, because there is no change to the balance of the petty cash account.
Hence, the entry must reflect the cash account as an increase and the petty cash account as a non-increase. It can be accomplished by debiting the Petty Cash account and crediting the Cash in Bank account.
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A. Consider THREE (3) ways information systems can be used as a
competitive tool. (12 marks)
B. Hackers and their companion viruses are an increasing
problem, especially on the Internet. What are the
Hackers and viruses pose a significant threat, particularly on the Internet, and can cause various security breaches and disruptions. Implementing robust security measures, such as firewalls, antivirus software, and regular system updates, can help mitigate these risks and protect organizations from cyber attacks.
Gaining Strategic Advantage: Information systems enable organizations to gather and analyze vast amounts of data, providing valuable insights for decision-making and strategic planning. This helps businesses identify market trends, forecast demand, and make informed decisions to gain a competitive edge.
Improving Operational Efficiency: Information systems automate processes, streamline workflows, and improve communication and collaboration within an organization. This leads to increased productivity, reduced costs, and improved efficiency in various business functions, such as inventory management, supply chain operations, and financial management.
Enhancing Customer Service and Satisfaction: Information systems facilitate customer relationship management, allowing organizations to track customer interactions, preferences, and purchasing behavior. This data helps personalize customer experiences, deliver targeted marketing campaigns, and provide efficient customer support, leading to higher customer satisfaction and loyalty.
Regarding hackers and viruses, they pose a significant threat to organizations, especially in the digital realm. Hackers use various techniques to gain unauthorized access to systems and networks, steal sensitive data, or disrupt operations. Viruses are malicious software programs designed to infect and damage computer systems. These security breaches can lead to financial losses, reputational damage, and legal issues for businesses.
To mitigate these risks, organizations should implement robust security measures. This includes using firewalls to monitor and control network traffic, installing antivirus software to detect and remove malicious programs, regularly updating software and systems to patch vulnerabilities, and implementing strong authentication and access control mechanisms. Training employees on cybersecurity best practices and establishing incident response plans are also crucial for effectively addressing security threats. By prioritizing cybersecurity measures, businesses can safeguard their systems and protect sensitive information from unauthorized access and potential harm.
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Eliminating unsystematic risk by holding a portfolio of
different assets reflects
a) portfolio variance spreading
b) the principle of diversification
c) the elimination of systematic risk
d) beta coef
The correct answer is b) the principle of diversification. By holding a portfolio of different assets, investors can reduce the impact of unsystematic risk, which is unique to individual stocks or assets.
This type of risk can be diversified away by holding a variety of assets, as the performance of one asset may not be correlated with another. By spreading their investments across multiple assets, investors can reduce the overall risk of their portfolio and potentially increase their returns. However, it's important to note that diversification does not eliminate systematic risk, which is inherent in the broader market or economy. To assess and manage this type of risk, investors may use beta coefficient, which measures the correlation of an asset's returns to the market. Overall, diversification is an important principle of investing and can help investors manage their risk while potentially improving their returns.
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Assume that the U.S. one-year interest rate is 4% and the one-year interest rate on Australian dollars is 8%. The U.S. expected annual inflation is 5%, while the Australian inflation is expected to be 6%. You have $100,000 to invest for one year and you believe that PPP holds. The spot exchange rate of an Australian dollar is $0.689. What will be the USD gain your investment if you invest in the Australian market?
Please show the full calculation
There are approximately 49,400,000 laundry washing machines sold in China for replacement every year.
Explanation:
There are approximately 49,400,000 laundry washing machines sold in China for replacement every year.
This calculation is based on the following data: -There are approximately 494,000,000 households in China (Table 6-1, 2019 China Statistical Yearbook)
-Approximately 10% of existing laundry washing machines are renewed every year (Table 6-2, 2019 China Statistical Yearbook)
-Approximately 80% of households own washing machines (Table 6-3, 2019 China Statistical Yearbook)
Based on these figures, we can estimate that there are approximately 49,400,000 laundry washing machines sold in China for replacement every year.
Assume that the interest rate offered on pounds is 8% and the pound is expected to depreciate by 1.5%. Calculate the US interest rate for the international Fisher effect to hold between the United Kingdom and the United States. Show the calculation.
The spot exchange rate of an Australian dollar is $0.689. The USD gain on investment made in the Australian market will be $76,771.
The question requires us to calculate the USD gain on investment made in the Australian market by assuming that the U.S. one-year interest rate is 4% and the one-year interest rate on Australian dollars is 8%. The U.S. expected annual inflation is 5%, while the Australian inflation is expected to be 6%.The steps to calculate the USD gain are as follows;
Calculation of USD gain
Step 1: Calculate the expected spot rate in one year. Given that the expected Australian inflation is 6%, and the expected U.S. inflation is 5%, the expected change in the AUD/USD exchange rate due to inflation differentials will be as follows:=(1+Australian inflation)/(1+U.S. inflation) = (1+6%)/(1+5%) = 1.00943Thus, the expected exchange rate in one year will be $0.689 * 1.00943 = $0.6964/1 AUD
Step 2: Calculate the expected return in AUD. The expected return in AUD is given by the interest rate parity equation. As per the interest rate parity, the difference in interest rates between two countries should be equal to the percentage difference between the forward rate and the spot rate.
The difference in interest rates is
8%-4%= 4%
The expected forward rate for the AUD/USD is $0.689 * 1.00943 = $0.6964
Thus, the percentage difference between the forward rate and the spot rate is:
((Forward rate – Spot rate) / Spot rate) x 100%
= (($0.6964-$0.689) / $0.689) x 100%
= 1.08%
Thus, the expected return on AUD investment is 8% + 1.08% = 9.08%
Step 3: Calculate the USD gain. The USD gain will be the AUD gain multiplied by the exchange rate in one year. Thus, the USD gain will be:
$100,000 x (1+9.08%) x $0.6964 = $76,771
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Which of the following statements is true regarding a statutory merger? Multiple Choice The original companies dissolve while remaining as separate divisions of a newly created company. Both companies remain in existence as legal corporations with one corporation now a subsidiary of the acquiring company. O The acquired company dissolves as a separate corporation and becomes division of the acquiring company. O The acquiring company acquires the stock of the acquired company as an investment. A statutory merger is no longer a legal option.
The correct statement regarding a statutory merger is:
Both companies remain in existence as legal corporations with one corporation now a subsidiary of the acquiring company.
In a statutory merger, two or more companies combine their assets and liabilities to form a new entity. The original companies cease to exist as separate legal entities, and instead, one company becomes the surviving entity while the other(s) become subsidiary(ies) of the acquiring company. This allows for the consolidation of resources, operations, and management while maintaining the legal distinction between the acquiring company and the acquired company.
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focus on d
Selected financial statement data for Investment Co are presented below.
Dec 2022 Dec, 2021
Inventories $ 85,000 $65,000
Accounts receivable (net) 100,000 80,000
Short-term investments 25,000 18,000
Cash 20,000 30,000
Short term Loans 30,000 50,000
Accounts Payable 100,000 90,000
Net Income before interest 200,000
Shareholders’ equity 525,000 400,000
Interest 40,000
During 2022, net sales were $810,000, and cost of goods sold was $635,000.
Instructions
Compute the following ratios at December 31, 2022:
(a) Current ratio 3 marks
(b) Accounts receivable turnover and in days 4 marks
(c) Inventory turnover and in days 4 marks
(d) Times Interest earned 4 marks
(a) Current ratio:
Current ratio = Current assets / Current liabilities
Current assets = Inventories + Accounts receivable (net) + Short-term investments + Cash
Current liabilities = Short-term Loans + Accounts Payable
Current assets = $85,000 + $100,000 + $25,000 + $20,000 = $230,000
Current liabilities = $30,000 + $100,000 = $130,000
Current ratio = $230,000 / $130,000 = 1.77
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Match the item found within a typical paystub to its definition. paycheck, gross pay, dedications, net pay 1. The amount remitted to the employee within the paycheck. 2. Amounts withheld from an emplo
Here's the match between the items found within a typical paystub and their definitions:
1. Paycheck: The amount remitted to the employee within the paycheck.
represents the total payment earned by the employee for a specific period, such as a week or a month, after deducting taxes and other withholdings.
2. Gross pay: The total amount of compensation earned by an employee before any deductions are taken out. It includes wages, salary, bonuses, commissions, or any other forms of income received from the employer.
3. Deductions: Amounts withheld from an employee's gross pay for various purposes, such as taxes (federal, state, and local), Social Security contributions, Medicare contributions, health insurance premiums, retirement plan contributions, or other authorized deductions.
4. Net pay: The amount received by the employee after all deductions have been subtracted from the gross pay. It represents the actual take-home pay or the amount the employee can use for personal expenses.
Please note that the specific items and their definitions may vary slightly depending on the country, company policies, and individual circumstances.
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Supply 30 60 90 120 5 0 150 i. Draw demand and supply using a graph. (5 marks) ii. Describe the situation if Price=1 Price = 4 (6 marks) c. Explain the importance of the 'ceteris paribus' assumption in economic theory (3 marks) Price 0 1 2 3 Demand 100 80 60 40 20
At a price of 1, the quantity demanded is 80, and at a price of 4, the quantity demanded decreases to 40.
The demand curve, represented by the data points (Price, Demand), shows that as the price increases from 0 to 3, the quantity demanded decreases from 100 to 20. This demonstrates the inverse relationship between price and quantity demanded - consumers are willing to purchase more at lower prices. However, the data for the supply curve is not provided, so it cannot be graphed.
When the price is 1, the quantity demanded is 80. This suggests that consumers are willing to buy 80 units of the product at that price level. As the price increases to 4, the quantity demanded further decreases to 40, indicating that consumers are less willing to purchase the product at a higher price.
The 'ceteris paribus' assumption is vital in economic theory as it enables economists to isolate the impact of specific variables on market equilibrium. By assuming that other factors remain constant, economists can analyze the relationship between variables like price and quantity demanded. This simplifies the analysis, allowing for a clearer understanding of the factors influencing consumer and producer behavior in response to changes in these variables.
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alculate the deadweight loss associated with the monopoly situation shown.
The deadweight loss associated with the monopoly situation shown is $1,000.
In microeconomics, deadweight loss is a loss of economic efficiency that can occur when equilibrium is not achieved or is underutilized. A deadweight loss arises when the socially optimal output is not achieved. It can be defined as the difference between the amount that consumers are willing and able to pay and the amount that they actually pay at the market price. The calculation of deadweight loss (DWL) can be made using the following formula: DWL = 1/2 * (Pm - Pc) * (Qm - Qc)Where: Pm = monopoly price Pc = competitive price Qm = monopoly quantity Qc = competitive quantity. Using the given information, we can calculate the deadweight loss associated with the monopoly situation as follows: DWL = 1/2 * ($20 - $8) * (150 - 200) = $1,000. Therefore, the deadweight loss associated with the monopoly situation shown is $1,000.
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Do
games belong in the workplace? Are firms blurring the lines between
work and play by trying to make the office too oriented towards fun
and games? Have you ever worked somewhere with a culture of
g
The inclusion of games in the workplace raises the question of whether firms are blurring the lines between work and play. While some argue that incorporating games can enhance employee engagement and creativity, others express concerns about potential distractions and a lack of focus on core responsibilities.
The inclusion of games in the workplace can have both positive and negative effects. Advocates of workplace games argue that they can boost employee morale, foster team-building, and encourage creativity and innovation. Games can provide a break from routine tasks, allowing employees to recharge and approach their work with renewed energy. Additionally, games can promote a positive work culture and improve work-life balance.
However, there are concerns about the potential drawbacks of excessive gaming in the workplace. Critics argue that an overemphasis on fun and games may lead to a lack of focus on core responsibilities, decreased productivity, and distractions. It is essential to strike a balance between incorporating games and maintaining a productive work environment.
Some workplaces do foster a culture of gamification, where games are integrated into various aspects of work, such as team-building exercises, training programs, or rewards systems. The success of implementing games in the workplace largely depends on the company's culture, industry, and individual preferences of the employees.
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rachel is planning a trip on which he plans to spend $10,000. the utility from the trip is a function of how much she actually spends on it (), given by () = ln
Given by () = ln, the marginal utility per dollar spent decreases as Rachel spends more money on the trip because the marginal utility of money decreases as income increases.
What is the reason?Rachel is planning a trip on which he plans to spend $10,000. The utility from the trip is a function of how much she actually spends on it, given by U(x) = ln(x), where x represents the amount she spends on the trip. Therefore, the budget constraint is 10,000 = x.
For Rachel's case, if she spends all of her $10,000, then her utility would be ln(10000) = 9.21 utils. However, if she spends only $5,000, her utility would be ln(5000) = 8.52 utils.
The marginal utility (MU) of the trip can be calculated as the change in utility from spending one more dollar on the trip, which is given by the derivative of the utility function.
Thus, MU(x) = dU/dx = 1/x.
The marginal utility per dollar spent (MU/$) can be calculated as the marginal utility divided by the price of the trip, which is equal to $1. Thus, MU/$ = MU(x)/P = (1/x)/1 = 1/x.
Therefore, the marginal utility per dollar spent decreases as Rachel spends more money on the trip because the marginal utility of money decreases as income increases.
In other words, Rachel will get less satisfaction from each additional dollar spent on the trip.
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which of the following firms accounts for the vast majority of total supercenter sales in the united states far outpacing its competitors?
Walmart accounts for the vast majority of total supercenter sales in the United States, far outpacing its competitors.
Walmart is the largest discount store chain in the United States, with more than 4,700 stores. Walmart's net revenue in the 2020 fiscal year was over $500 billion. The company is well-known for its "Everyday Low Prices" policy, which aims to provide consumers with the best possible pricing.
In addition, Walmart has a diverse range of items, including groceries, electronics, apparel, and home goods. Walmart Supercenters are a one-stop-shop for customers who want to purchase a variety of items in one place. Walmart has managed to maintain its position as the leading discount store chain in the United States by keeping prices low and offering a vast selection of goods to its customers.
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The Question is as follows: The entities they refer to are attached below
2. Write down the highest normal form each of these relations are in. For each of these relations, state the
reasons why it doesn’t meet the next normal form requirements. This is not required if the relation is in 3NF.
the two referred are Order(entity) , 1NFReasons why it doesn’t meet the next normal form requirements: In this relation, the Customer_ID and Salesperson_ID fields are repeated in every row,. Salesperson(entity) , n this relation, the Region_Name and Commission_Rate fields are repeated in every row.
The two entities and their corresponding tables are as follows:1. Order(entity) Table:Order_ID | Order_Date | Order_Amount | Customer_ID | Customer_Name | Customer_Address | Customer_City | Customer_State | Customer_Zip | Salesperson_ID | Salesperson_Name | Salesperson_Phonenumber | Product_ID | Product_Description | Product_PriceHighest Normal Form of this Relation: 1NFReasons why it doesn’t meet the next normal form requirements:In this relation, the Customer_ID and Salesperson_ID fields are repeated in every row. This is a problem because it violates the second normal form rule which states that all non-key attributes must be dependent on the primary key. As a result, this relation should be split into two separate tables, one for customer details and another for salesperson details.2. Salesperson(entity) Table:Salesperson_ID | Salesperson_Name | Salesperson_Phonenumber | Region_ID | Region_Name | Commission_Rate | Salesperson_HiredateHighest Normal Form of this Relation: 1NFReasons why it doesn’t meet the next normal form requirements:In this relation, the Region_Name and Commission_Rate fields are repeated in every row. This is a problem because it violates the second normal form rule which states that all non-key attributes must be dependent on the primary key. As a result, this relation should be split into two separate tables, one for region details and another for salesperson details. If this were done, the Region_ID field could serve as the foreign key for the region table.
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When the null hypothesis is accepted,it is possible that aOA correct decision is made bO A type II error has been made cO both (aand (b d none of the above Question 13:-Which of the following is an example of a Type I error. The null hypothesis is : aOtrue and accepted bOfalse and is rejected cOtrue and is rejected dO none of the above Ouestion 14:-As the degrees of freedom increases a)O-The normal distribution approaches t-distribution b)O The t-distribution-approaches normal distribution cO Binomial distribution approaches F distribution dO none of the above Question 15:-In hypothesis testing a indicates aOThe probability of committing a type Ierror bO The probability of not committing a Type I error cO The probability of committing a Type II error dOAll the above Question 16:-In hypothesis testing,the power of test is equal to bOB O1-a dO1-B Question 17:- If the population variance is 81 and sample size is 9, considering an infinite population then the standard error s 9 bO3 027 dnone of the above
Option (b) - "3.027" - is the correct answer. (13) When the null hypothesis is accepted, it is possible that a Type II error has been made. (14) An example of a Type I error is when the null hypothesis is false and is rejected.
(13) When the null hypothesis is accepted, it means that the evidence did not provide enough support to reject the null hypothesis. So, option (b) - "A Type II error has been made" - is the correct answer. (14) A Type I error occurs when the null hypothesis is true, but it is incorrectly rejected based on the sample evidence. In this case, option (b) - "False and is rejected" - is an example of a Type I error.
(15) In hypothesis testing, (a) represents the significance level or the probability of committing a Type I error, (b) represents the complement of the significance level or the probability of not committing a Type I error (also known as the confidence level), and (c) represents the probability of committing a Type II error. (16) The power of a test is the probability of correctly rejecting the null hypothesis when it is false. It is equal to 1 minus the probability of a Type II error. So, option (d) - "1 - B" - represents the power of the test.
(17) The standard error is a measure of the variability of the sample mean. In this case, considering an infinite population, the standard error would be the population standard deviation divided by the square root of the sample size.
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A carwash company specializes in several customized services as follows.
Service
Description
Processing time
Resource used
A. Wash
Exterior Washing and Drying
20 min
1 Automated washing Machine
B. Wax
Exterior Car waxing
10 min
1 Automated waxing Machine
C Wheel cleaning
Cleaning all wheels
8 min
1 employee
D. Interior cleaning
Cleaning inside
20 min
1 employee
E. Wheel Alignment
Wheel Alignment
30 min
1 employee
The car wash company specializes in customized packages as
Package 1: includes only A
Package 2: includes A and B
Package 3: includes A, B, C, and D
Package 4: includes only A, B, C, D, and E
Customers (cars) arrive at a rate of 50 cars per day. Of these 40% choose package 1; 15% choose package 2; 15% choose package 3; 30% choose package 4. The store operates 14 hours a day.
a. What is the implied utilization of the employee doing the wheel cleaning service?
b. Which resource has the highest implied utilization?
it's anticipated that customers demand may go up next summer to 60 customers(cars) a day; Together with this growth, the composition of car arrivals is expected to change as: 30% choose package 1; 10% choose package 2; 10% choose package 3; 50% choose package 4. The company installs an additional machine to serve A. The store plans to operate 12 hours a day.
c. What will be the new bottleneck in the process?
d. How many customers a day will not be served? Which customers are going to wait? Explain your reasoning!
e. Draw a flow process chart to show the processes and packages.
a. The implied utilization rate for the worker doing the wheel cleaning service is (1.2 minutes / 840 minutes) * 100 = 0.1429%, or around 0.14 percent. b. The resource used for cleaning wheels has the greatest implied utilization since it is processed in the shortest amount of time (8 minutes) and is used for the shortest period of time (0.14%). c. Wheel cleaning is currently the limiting service since its processing time (8 minutes) is so much less than that of any other service.
The first approach divides the total number of hours logged during a certain period of time by the total number of billable hours.
The implied utilization rate rate would be 30 / 40, or 75%, for instance, if a week's worth of 40 hours of time were recorded but only 30 of them were billable.
This approach makes it processed simple to understand how this utilization rate may be manipulated, though, as a company's utilization rate will always be 100% if it stops tracking non-billable time.
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A company produces a product with the following forecast for producing and selling the product in December 2022.
GH¢
Sales(3000units)150
Production (4500units)
Variable cost per Units:
Direct Materials22.50
Direct Labour45.00
Variable factory Overheads30.00
Total fixed factoryoverheads22500
Total selling&Distributioncost30000 TotalGeneral&Administrationcost25000
Show the profit statements for the month using (a). Marginal costing (b). Absorption costing (c). Prepare a statement of reconciliation (d). List and explain 3 arguments in support of Marginal costing. (e). List and explain 4 arguments in support of absorption costing.
(a) Profit Statement using Marginal Costing:
Sales Revenue: 3,000 units x GH¢150 = GH¢450,000
Less Variable Costs:
Direct Materials: 3,000 units x GH¢22.50 = GH¢67,500
Direct Labor: 3,000 units x GH¢45.00 = GH¢135,000
Variable Factory Overheads: 3,000 units x GH¢30.00 = GH¢90,000
Total Variable Costs: GH¢292,500
Contribution Margin: Sales Revenue - Total Variable Costs
GH¢450,000 - GH¢292,500 = GH¢157,500
Less Fixed Costs:
Total Fixed Factory Overheads: GH¢22,500
Total Selling & Distribution Costs: GH¢30,000
Total General & Administration Costs: GH¢25,000
Total Fixed Costs: GH¢77,500
Net Profit: Contribution Margin - Total Fixed Costs
GH¢157,500 - GH¢77,500 = GH¢80,000
(b) Profit Statement using Absorption Costing:
Sales Revenue: GH¢450,000
Less Cost of Goods Sold:
Direct Materials: 3,000 units x GH¢22.50 = GH¢67,500
Direct Labor: 3,000 units x GH¢45.00 = GH¢135,000
Variable Factory Overheads: 3,000 units x GH¢30.00 = GH¢90,000
Fixed Factory Overheads (allocated): GH¢22,500 / 4,500 units x 3,000 units = GH¢15,000
Total Cost of Goods Sold: GH¢307,500
Gross Profit: Sales Revenue - Cost of Goods Sold
GH¢450,000 - GH¢307,500 = GH¢142,500
Less Operating Expenses:
Total Selling & Distribution Costs: GH¢30,000
Total General & Administration Costs: GH¢25,000
Total Operating Expenses: GH¢55,000
Net Profit: Gross Profit - Total Operating Expenses
GH¢142,500 - GH¢55,000 = GH¢87,500
(c) Statement of Reconciliation:
Net Profit using Marginal Costing: GH¢80,000
Net Profit using Absorption Costing: GH¢87,500
Reconciliation:
Net Profit using Marginal Costing GH¢80,000
Add: Fixed Factory Overheads (deferred) GH¢15,000
Difference GH¢7,500
(d) Arguments in Support of Marginal Costing:
Simplicity: Marginal costing is easier to understand and implement compared to absorption costing. It focuses on the separation of costs into fixed and variable components, which simplifies cost analysis and decision-making.
Cost Control: Marginal costing helps in cost control by clearly identifying variable costs associated with each unit of production. This allows management to make more effective cost management decisions and respond to changes in the business environment.
Decision-Making: Marginal costing provides accurate and relevant information for decision-making. It facilitates the calculation of contribution margin and break-even point, enabling management to assess the financial impact of different production and pricing decisions.
(e) Arguments in Support of Absorption Costing:
Matching Principle: Absorption costing follows the matching principle by allocating fixed factory overheads to the cost of goods sold. This ensures that all costs, both fixed and variable, are included in the determination of profit, providing a more accurate representation of the true cost of production.
Inventory Valuation: Absorption costing includes fixed factory overheads in the valuation of inventory. This reflects the full cost of production
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What challenges does the high growing city like Senzen face
years down the road? explain
As a high-growing city, Shenzhen, like any other rapidly expanding urban area, is likely to face several challenges in the years ahead. These challenges can arise due to the strain on infrastructure, resources, environment, and social systems.
Urban Planning and Infrastructure: High population growth puts pressure on urban planning and infrastructure development. Shenzhen may face challenges in providing adequate housing, transportation networks, utilities, and public services to accommodate the growing population.Traffic Congestion: With a larger population and increased economic activity, traffic congestion can become a significant challenge. Shenzhen may need to invest in expanding and improving its transportation infrastructure, including roads, public transportation, and traffic management systems.Housing Affordability: Rapid urban growth often leads to increased housing prices, making it difficult for low- and middle-income residents to afford suitable housing. Shenzhen may face challenges in ensuring affordable housing options for its residents, particularly as demand continues to rise.
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Consider a small open two-period economy populated by identical households with preferences given by InC₁ + InC₂ where C₁ and C₂ denote consumption in periods 1 and 2, respectively. Households are endowed with Q₁ 5units of goods in period 1 and 22 10 units in period 2. In period 1, households can borrow or lend at the interest rate r. Let D₁ denote the amount of debt of the household in period 1. Assume that the initial level of debt is zero, Do= 0. The world interest rate, denoted r, is 10 percent. - (a) Calculate the equilibrium current account in period 1 under free capital mobility. Now assume that the government introduces capital controls in period 1. Specifically, the government charges foreign lenders a proportional tax 7 on the amount of debt extended to domestic residents. So foreign lenders pay TD₁ to the government in period 1. Suppose that the tax rate is 10 percent. In period 1, the government transfers all of these revenues to households via a lump-sum transfer denoted T. The government does not intervene in the economy in period 2. (b) Calculate the interest rate differential. (c) Calculate the equilibrium current account balance in period 1. Compare this situation to what happens under free capital mobility and provide intuition.
the equilibrium current account in period 1 under free capital mobility is CA = S - I = D₁ - Q₁.
(a) To calculate the equilibrium current account in period 1 under free capital mobility, we need to consider the flow of goods and capital between the domestic and foreign economies.
The current account balance (CA) is given by the equation:
CA = S - I
S= domestic saving and I represents domestic investment.
In period 1, households are endowed with 5 units of goods (Q₁) and can borrow or lend at the interest rate r.
S = Q₁ - C₁ + D₁
I = C₁
Given the preferences InC₁ + InC₂, households maximize their utility by consuming all of their endowment in period 1 and borrowing or lending to achieve their desired consumption in period 2.
C₁ = Q₁
C₂ = Q₂ + D₁(1 + r)
Substituting the values of C₁ and C₂ into the equations for S and I:
S = Q₁ - Q₁ + D₁
I = Q₁
Simplifying:
S = D₁
I = Q₁
Therefore, the equilibrium current account in period 1 under free capital mobility is CA = S - I = D₁ - Q₁.
(b) The interest rate differential represents the difference between the domestic interest rate (r) and the world interest rate (r).
Interest Rate Differential = r - r
In this case, the interest rate differential is 10% - 10% = 0.
(c) Under the introduction of capital controls in period 1, the government charges foreign lenders a tax on the amount of debt extended to domestic residents. The tax rate is 10%.
With capital controls, the new equilibrium current account balance in period 1 can be calculated as:
CA = S - I - T
CA = D₁ - Q₁ - T
Overall, the introduction of capital controls alters the current account balance in period 1 by influencing the flows of capital and affecting households' consumption decisions.
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Younger Corporation reports that at an activity level of 6,300 units, its total variable cost is $410,000 and its total fixed cost is $694,000. Assume that this activity level is within the relevant range. For the activity level of 8,000 units, compute: k 1. Total variable cost 2. Total fixed cost 3. Variable cost per unit 4. Fixed cost per unit 5. Total cost per unit Enter your answers in the same order as they appear above
To compute the values for the activity level of 8,000 units, we can use the relevant range and the cost behavior assumptions.
Activity level at 6,300 units: Total variable cost = $410,000 Total fixed cost = $694,000 Total variable cost for 8,000 units: To calculate the total variable cost, we need to determine the variable cost per unit and then multiply it by the number of units. Variable cost per unit = Total variable cost / Activity level Variable cost per unit = $410,000 / 6,300 units Total variable cost for 8,000 units = Variable cost per unit × 8,000 units To calculate the total cost per unit, we need to sum up the variable cost per unit and the fixed cost per unit. Total cost per unit = Variable cost per unit + Fixed cost per unit
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For 2018, Ponte marketing managers project monthly sales of 500,000 12-ounce bottles and 190,000 1-gallon containers. Average selling prices are estimated at $0.80 per 12-ounce bottle and $1.80 per 1-gallon container. Prepare a revenues budget for Ponte, Inc., for the year ending December 31, 2018
As per the Revenue Budget for Ponte, Inc., the total revenue for the year ending December 31, 2018 is $8,904,000.
A revenue budget can be defined as an estimate of the revenues expected to be earned by an organization over a given period of time. This budget helps organizations to estimate future income by projecting sales volumes and prices. The budget also helps to plan how resources will be allocated to achieve the desired results.
To prepare a revenues budget for Ponte, Inc. for the year ending December 31, 2018, we need to calculate the revenues based on the projected monthly sales and average selling prices.
Revenues budget for Ponte, Inc. for the year ending December 31, 2018
Revenue Source- Unit Sales Price × Unit Sales = Total Sales
12-ounce bottle- $0.80 × 500,000 = $400,000
1-gallon container- $1.80 × 190,000 = + $342,000
Total revenue for the month = $742,000
Total revenue for the year= Total revenue for the month × 12
Total revenue for the year= $742,000×12 = $8,904,000
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Kenji is working for an advertising firm making $60,000 per year but considers starting his own advertising company. Kenji has determined that to launch the business, he needs to invest $100,000 of his own funds. The annual cost of running the business will include $75,000 for the rent of the office space, $190,000 for employee wages, and $6,000 for materials and utilities. Kenji plans to manage the business, which means that he will have to quit his current job. Suppose that the interest rate (or rate of return) on investments in the economy is 6%.
Kenji's total explicit cost per year is ?
Kenji's total cost per year is ?
Kenji's total explicit cost per year is $271,000. Kenji's total cost per year is $331,000. The details of the calculation of these costs are given below: Explicit cost: The out-of-pocket costs of an enterprise that require direct payment in cash or check are known as explicit costs.
Kenji's total explicit cost per year is $271,000. Kenji's total cost per year is $331,000. The details of the calculation of these costs are given below:Explicit cost:The out-of-pocket costs of an enterprise that require direct payment in cash or check are known as explicit costs. As a result, explicit costs are expenses that may be easily quantified and identified in a business's financial statements.Costs for employee wages are $190,000. Cost for the office space rent is $75,000, and costs for materials and utilities are $6,000. Thus, Kenji's total explicit cost per year is:$190,000 + $75,000 + $6,000 = $271,000Total cost:Explicit cost plus implicit cost equals total cost. The opportunity cost of the entrepreneur's time, which is what they must give up in order to start the business, is known as implicit costs. When Kenji quits his present job and begins running his own business, he will lose the $60,000 he currently earns as a salary. This opportunity cost is implicit cost. Thus, Kenji's total cost per year is:$271,000 + $60,000 = $331,000Hence, Kenji's total explicit cost per year is $271,000 and his total cost per year is $331,000.
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Pro Sports had the following transactions during 2017:
1. Issued $200,000 of par value ordinary shares for cash.
2. Repaid a 10 year note payable in the amount of $45,000.
3. Acquired land by issuing
During 2017, Pro Sports made a repayment of a note payable, which had an original term of 10 years, amounting to $45,000.
Pro Sports had the following transactions during 2017:
Issued $200,000 of par value ordinary shares for cash.
In 2017, Pro Sports issued ordinary shares with a par value of $200,000 in exchange for cash. This transaction represents a capital-raising activity where Pro Sports obtained additional funds from investors by issuing new shares. By selling shares, the company increased its equity base, allowing for potential future investments, debt repayment, or other business activities.
Repaid a 10-year note payable in the amount of $45,000.
During 2017, Pro Sports made a repayment of a note payable, which had an original term of 10 years, amounting to $45,000. The repayment of the note payable signifies the settlement of a long-term debt obligation. By repaying the note, Pro Sports reduced its liabilities, improving its financial position and potentially lowering future interest expenses.
Acquired land by issuing.
Unfortunately, the information provided is incomplete for the third transaction. It states that Pro Sports acquired land but does not specify the method of acquisition or the amount involved. To provide a comprehensive answer, it would be necessary to know if the land was acquired through cash payment, issuance of shares, or another means. Additionally, the specific value or terms of the land acquisition are missing. Without this information, it is not possible to provide a detailed explanation or analysis of this particular transaction.
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Which of the following would have no effect on Retained Earnings? a. Declaration of a stock split b. Declaration of a cash dividend c. A prior period adjustment d. Declaration of a stock dividend
The declaration of a stock dividend would have no effect on retained earnings. For that reason, the correct option is D.
The (option D) declaration of a stock dividend doesn´t impact in the retained earnings, and they are a portion of a corporation's earnings that is kept after all of its dividends have been paid out to stockholders.
A corporation's net income that is not distributed as dividends to shareholders but kept in the company is referred to as retained earnings. Only option d i.e. Declaration of a stock dividend would have no effect on retained earnings.
Stock dividends are dividends given in the form of shares of the corporation rather than cash. They have no bearing on a company's overall wealth since they are issued against the company's stock.
Hence, declaration of a stock dividend would not impact the company's retained earnings. However, if the company issues a cash dividend, it will have an impact on the company's retained earnings.
For example, a cash dividend would lower the amount of money the company has on hand because it pays out cash to the shareholders.
A prior-period adjustment would cause an error to the previously prepared financial statements. The declaration of a stock split would impact the number of outstanding shares,
but the value of the shares would not change. A cash dividend would impact the company's cash account and retained earnings account.
A stock dividend would impact the company's paid-in capital account, but it would not impact the company's retained earnings account. Therefore, option d is the only correct option.
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Question 3 4 marks Net Present Value (NPV). RAK Itd made an investment in Project A and expects the following estimated Net Cash Inflows below for five (5) years. Use this information to answer the questions that follow: Project A Time (10,000) 2,500 5,000 4,500 8,000 3,500 a) Calculate Net Present Value (NPV) of Project A, assuming the cost of capital is 10% per annum. 2 marks b) Should RAK Ltd accept this Project? If YES, Why? If NO, why not? Assume an annual interest rate of 10% for all five (5) years. 2 marks FOLLMAS 0 1 2 3 4 5
we need to discount the net cash inflows at the cost of capital rate of 10% per annum Discount rate (r) = 10%.
The formula to calculate NPV is as follows:
NPV = CF₁/(1+r) + CF₂/(1+r)² + CF₃/(1+r)³ + CF₄/(1+r)⁴ + CF₅/(1+r)⁵
where CF represents the net cash inflows for each year and r is the discount rate (cost of capital).
a) Calculating the Net Present Value (NPV) of Project A:
Year 0: CF₀ = -10,000 (Initial investment)
Year 1: CF₁ = 2,500
Year 2: CF₂ = 5,000
Year 3: CF₃ = 4,500
Year 4: CF₄ = 8,000
Year 5: CF₅ = 3,500
Discount rate (r) = 10%
NPV = -10,000/(1+0.10) + 2,500/(1+0.10)² + 5,000/(1+0.10)³ + 4,500/(1+0.10)⁴ + 8,000/(1+0.10)⁵ + 3,500/(1+0.10)⁶
Calculating the above equation will give us the Net Present Value (NPV) of Project A.
b) To determine whether RAK Ltd should accept this project or not, we need to compare the NPV with zero. If the NPV is positive, it indicates that the project is expected to generate a positive return and should be accepted. If the NPV is negative, it indicates that the project is expected to generate a negative return and should be rejected.
If the calculated NPV is greater than zero, RAK Ltd should accept Project A because it is expected to provide a positive return on investment. If the NPV is less than or equal to zero, RAK Ltd should reject the project as it may not generate a sufficient return to cover the cost of capital.
Please perform the calculations using the provided formula and data to find the exact NPV and determine whether RAK Ltd should accept or reject Project A.
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