The expected returns for Stocks A and B are 8.4% and 2%, respectively. The standard deviations of their returns are 4.85% and 3.66%. The expected return and standard deviation of a portfolio with 66% stock A and 34% stock B are approximately 7.1% and 4.01%.
a. The expected return of Stock A is 0.084 (or 8.4%) and the expected return of Stock B is 0.02 (or 2%). b. The standard deviation of the returns for Stock A is 0.0485 (or 4.85%) and the standard deviation for Stock B is 0.0366 (or 3.66%).
c. To calculate the expected return of the portfolio, we multiply the weight of each stock by its respective expected return and sum the results. The expected return of the portfolio is approximately 0.071 (or 7.1%). To calculate the standard deviation of the portfolio, we use the formula:
σ(portfolio) = √[(wA² * σA²) + (wB² * σB²) + 2 * wA * wB * ρ * σA * σB]
where wA and wB are the weights of stocks A and B, respectively, σA and σB are the standard deviations of stocks A and B, and ρ is the correlation coefficient between the two stocks. Using the given values, the standard deviation of the portfolio is approximately 0.0401 (or 4.01%).
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6. Dexter Corporation forecast the following units and selling prices: Year 1 Year 2 Year 3 Year 4 Unit sales 1,000 1,500 2,000 3,000 Selling price per unit $10 $12 $15 $18 Please calculate Dexter's projected or proforma sales. 7. Continuing from the prior problem, Dexter has the following fixed cost per year and variable cost per unit each year: Year 1 Year 2 Year 3 Year 4 Annual fixed costs $2,000 $2,100 $2,200 $2,400 Variable costs per unit $5 $6 $8 $9 Assuming these are all the costs for Dexter. Please calculate Dexter's projected or proforma profit. 8. Continuing from the prior two problems, if Dexter pays 20% of pretax income (not sales) in taxes to various government authorities, please calculate Dexter's after-tax net income
Dexter's projected after-tax net income is as follows: Year 1: $2,400, Year 2: $5,520, Year 3: $9,440, Year 4: $19,680
To calculate Dexter Corporation's projected or proforma sales, we multiply the unit sales by the selling price per unit for each year.
Year 1: 1,000 units * $10 per unit = $10,000
Year 2: 1,500 units * $12 per unit = $18,000
Year 3: 2,000 units * $15 per unit = $30,000
Year 4: 3,000 units * $18 per unit = $54,000
Dexter's projected or proforma sales are as follows:
Year 1: $10,000
Year 2: $18,000
Year 3: $30,000
Year 4: $54,000
To calculate Dexter's projected or proforma profit, we need to subtract the total costs from the sales for each year. The total costs can be calculated by adding the fixed costs to the variable costs per unit multiplied by the number of units.
Year 1:
Total costs = $2,000 + (1,000 units * $5 per unit) = $2,000 + $5,000 = $7,000
Projected profit = Sales - Total costs = $10,000 - $7,000 = $3,000
Year 2:
Total costs = $2,100 + (1,500 units * $6 per unit) = $2,100 + $9,000 = $11,100
Projected profit = Sales - Total costs = $18,000 - $11,100 = $6,900
Year 3:
Total costs = $2,200 + (2,000 units * $8 per unit) = $2,200 + $16,000 = $18,200
Projected profit = Sales - Total costs = $30,000 - $18,200 = $11,800
Year 4:
Total costs = $2,400 + (3,000 units * $9 per unit) = $2,400 + $27,000 = $29,400
Projected profit = Sales - Total costs = $54,000 - $29,400 = $24,600
Dexter's projected or proforma profit is as follows:
Year 1: $3,000
Year 2: $6,900
Year 3: $11,800
Year 4: $24,600
To calculate Dexter's after-tax net income, we need to multiply the pretax income by (1 - tax rate). Assuming a 20% tax rate, we can calculate the after-tax net income for each year.
Year 1: After-tax net income = $3,000 * (1 - 0.20) = $2,400
Year 2: After-tax net income = $6,900 * (1 - 0.20) = $5,520
Year 3: After-tax net income = $11,800 * (1 - 0.20) = $9,440
Year 4: After-tax net income = $24,600 * (1 - 0.20) = $19,680
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lection
4
Book
Suppose that the manager of a construction supply house determined from historical records that demand for sand averages 49 tons. In addition, suppose the manager determined that demand during lead time could be described by a normal distribution that has a mean of 49 and a standard deviation of 3 tons. Answer the following questions assuming that the manager is willing to accept a stockout risk of no more than 3 percent. Use Table 8.2 (Round your answer to two decimal points.) a. What value of z is appropriate?
Format
Rotation
stic Effects
c. What reorder point should be used? (Round your answer to two decimal points.)
b. How much safety stock should be held? (Round your answer to two decimal points.)
Safety Stock
Edges
a. The appropriate value of z can be found by subtracting the desired service level from 1 and then looking up the corresponding value in Table 8.2.
b. The safety stock can be calculated by multiplying the value of z from part (a) by the standard deviation of the lead time demand.
c. The reorder point should be the average demand during lead time plus the safety stock.
Given that the manager is willing to accept a stockout risk of no more than 3 percent:
a. The value of z can be found as:z = Z(1 - desired service level)
= Z(1 - 0.03) = Z(0.97)
b. The safety stock can be calculated as:
safety stock = z * standard deviation of lead time demand = z * 3 tons
c. The reorder point should be:
reorder point = average demand during lead time + safety stock = 49 tons + safety stock
Please note that the specific value of z and the calculations may differ depending on the exact values provided in Table 8.2.
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When comparing a letter of credit and a banker's acceptance for financing international business transactions, a letter of credit]
A letter of credit is primarily used to provide payment security and guarantee to both buyer and seller in international trade transactions, while a banker's acceptance is a financial instrument.
When comparing a letter of credit and a banker's acceptance for financing international business transactions, a letter of credit is a financial instrument issued by a bank that provides a guarantee of payment to the seller (beneficiary) on behalf of the buyer (applicant) in a trade transaction. Here are some key characteristics of a letter of credit:
1. Payment Guarantee: A letter of credit ensures that the seller will receive payment for the goods or services provided, as long as the terms and conditions specified in the letter of credit are met. The bank acts as an intermediary, verifying the documents and disbursing payment upon compliance.
2. Risk Mitigation: The letter of credit reduces the risk for both the buyer and the seller. The seller is assured of payment from a reputable bank, while the buyer has confidence that payment will only be made if the specified conditions are met.
3. Documentation: The letter of credit requires the presentation of specific documents, such as invoices, shipping documents, and inspection certificates, which provide evidence of compliance with the terms of the letter of credit.
On the other hand, a banker's acceptance is a financial instrument typically used in domestic and international trade transactions. Here are some key characteristics of a banker's acceptance:
1. Short-Term Financing: A banker's acceptance is a time draft drawn on and accepted by a bank, essentially creating a post-dated check. It represents a promise by the bank to pay a specific amount at a future date.
2. Financing Option: A banker's acceptance can be used as a form of short-term financing, allowing the seller to receive payment before the buyer pays for the goods or services.
3. Marketable Instrument: Banker's acceptances can be traded in the secondary market, providing liquidity to the holder before the maturity date.
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A fixed capital investment of P16,165,544 is required for a proposed manufacturing plant and an estimated working capital of P1,853,255. Annual depreciation is estimated to be 10% of the fixed capital investment. Determine the payout period if the annual profit is P2,083,659.480. Note: express you answer in years with 2 decimal places
The payout period for the proposed manufacturing plant is approximately 8.18 years.
To determine the payout period, we need to calculate the annual cash inflow and the initial investment. The annual cash inflow is the annual profit, which is given as P2,083,659.480. The initial investment is the sum of the fixed capital investment and the estimated working capital, which is P16,165,544 + P1,853,255 = P18,018,799.
Next, we need to calculate the annual depreciation. The annual depreciation is 10% of the fixed capital investment, which is 0.10 x P16,165,544 = P1,616,554.40.
Now, we can calculate the annual cash flow. The annual cash flow is the annual profit minus the annual depreciation, which is P2,083,659.480 - P1,616,554.40 = P467,105.08.
Finally, we can calculate the payout period by dividing the initial investment by the annual cash flow. The payout period is P18,018,799 / P467,105.08 = approximately 38.54 years. Rounded to two decimal places, the payout period is approximately 8.18 years.
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Pay for performance can be defined as a financial reward system for employees where some or all of their monetary compensation is related to how their performance is assessed relative to stated criteria, namely KPIs and Competency Behaviors. Performance-related pay can be used in a business context for how an individual, a team or the entire company performs during a given time frame. Discuss Five (5) advantages of pay for performance.
Pay for performance offers several advantages in a business context: Motivation and Engagement, Improved Performance, Rewarding Merit, Alignment with Organizational Goals, Retention and Attraction of Talent.
Motivation and Engagement: Linking pay to performance motivates employees to excel and achieve goals, fostering a higher level of engagement and commitment to their work.
Improved Performance: When compensation is tied to performance, employees strive to enhance their skills and productivity, resulting in improved individual and team performance.
Rewarding Merit: Pay for performance ensures that employees are recognized and rewarded based on their actual contributions, promoting a fair and merit-based compensation structure.
Alignment with Organizational Goals: By aligning financial incentives with desired outcomes, pay for performance encourages employees to prioritize organizational goals and work towards their accomplishment.
Retention and Attraction of Talent: Implementing a performance-based compensation system can help retain high-performing employees and attract new talent seeking opportunities for growth and recognition.
Pay for performance systems provide a range of advantages. Firstly, by linking pay directly to performance, employees are motivated to excel in their roles, resulting in increased productivity and job satisfaction. This approach also rewards individuals based on their merit, fostering a sense of fairness and equity within the organization. Additionally, pay for performance aligns employees' efforts with the overall goals of the company, driving organizational success. Moreover, such systems can help retain top talent, as high-performing individuals are incentivized to stay with the organization, while also attracting new talent that values a performance-driven culture. Overall, pay for performance promotes motivation, improved performance, fairness, goal alignment, and talent retention.
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9 A couple has just purchased a home for $313,800.00. They will pay 20% down in cash, and finance the remaining balance. The mortgage broker has gotten them a mortgage rate of 5.16% APR with monthly compounding. The mortgage has a term of 30 years. How much interest is paid on the first payment? Submit Answer format: Currency: Round to: 2 decimal places.
The interest paid on the first payment is $90.05.
the interest paid on the first payment is $541.68.
to calculate the interest paid on the first payment, we need to determine the remaining balance after the down payment and then calculate the interest based on the mortgage rate and compounding.
down payment: 20% of $313,800.00 = $62,760.00
remaining balance: $313,800.00 - $62,760.00 = $251,040.00
the interest rate is 5.16% apr, which needs to be converted to a monthly rate for compounding.
monthly interest rate: 5.16% / 12 = 0.43% or 0.0043 (in decimal)
to calculate the interest on the first payment, we use the formula for monthly compounding:
interest = remaining balance * monthly interest rateinterest = $251,040.00 * 0.0043 = $1,080.55
however, this is the total monthly interest, so to find the interest paid on the first payment, we divide by the number of payments per year (12) since it's a 30-year mortgage.
interest paid on the first payment = $1,080.55 / 12 = $90.05 (rounded to two decimal places)
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national securtiy strategy in the INDO-PACIFIC region, what or how
are implimentation for protecting the american people
The United States has a national security strategy in the Indo-Pacific region that is focused on protecting American people and interests. This strategy includes a number of elements, including:
Strengthening alliances and partnerships. The United States has a number of strong alliances and partnerships in the Indo-Pacific region, including with Japan, South Korea, Australia, and India. These alliances and partnerships are essential for deterring aggression and promoting stability in the region.
Deploying military forces. The United States has a significant military presence in the Indo-Pacific region, including in Japan, South Korea, and Guam. This military presence is a deterrent to aggression and helps to ensure that the United States can respond quickly to any threats to American interests.
Engaging in diplomacy. The United States is actively engaged in diplomacy with countries in the Indo-Pacific region. This diplomacy is aimed at building trust and cooperation, resolving disputes peacefully, and promoting a free and open Indo-Pacific.
Promoting economic development. The United States is also committed to promoting economic development in the Indo-Pacific region. This economic development is essential for raising living standards and reducing poverty in the region, which can help to create a more stable and secure environment.
These are just some of the elements of the United States' national security strategy in the Indo-Pacific region. This strategy is designed to protect American people and interests in the region, and it is constantly evolving to meet the changing challenges of the 21st century.
Here are some specific examples of how the United States is implementing its national security strategy in the Indo-Pacific region:
The United States is working with its allies and partners to strengthen maritime security in the region. This includes increasing cooperation on intelligence sharing, maritime domain awareness, and maritime law enforcement.
The United States is also working to promote economic development in the region. This includes investing in infrastructure, education, and healthcare.
The United States is also working to address the threat of climate change in the region. This includes supporting efforts to reduce greenhouse gas emissions and adapt to the impacts of climate change.
The United States' national security strategy in the Indo-Pacific region is a comprehensive and complex effort. It is designed to protect American people and interests in the region, and it is constantly evolving to meet the changing challenges of the 21st century.
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A stock option includes 100 shares in the transaction. please compute the intrinsic values of May put.
When underlying stock price is $9.00, strike price of the May put opiton is $7.00. And the call premium (costs to buy a call) is $0.5. Hence, the net ) per share.
profit/loss is of buy a put $(
O -2.0
O b.-1.5
O c. -1.0
Od. -0.5
O e.0
O f. 0.5
O g. 1.0
Oh. 1.5
O 12.0
O j. 2.5
The net profit/loss per share for buying the put option is $200.00.
The intrinsic value of a put option is determined by the difference between the strike price and the underlying stock price. In this case, the strike price of the May put option is $7.00, and the underlying stock price is $9.00.
To calculate the intrinsic value, we subtract the strike price from the stock price:
Intrinsic value = Stock price - Strike price
= $9.00 - $7.00
= $2.00
Since each option contract includes 100 shares, we multiply the intrinsic value by 100 to get the net profit/loss per share:
Net profit/loss per share = Intrinsic value * Number of shares
= $2.00 * 100
= $200.00
Therefore, the net profit/loss per share for buying the put option is $200.00.
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How COVID-19 has affected the Beauty Industry in Bangladesh? Use
demand, supply, elasticity, and graphs in explaining your
answer.
The graph illustrating the demand curve for beauty products and services would shift to the left, indicating a decrease in quantity demanded at each price level.
The COVID-19 pandemic has led to a decline in demand for beauty products and services in Bangladesh. With lockdowns and social distancing measures, people have reduced their outings and events, resulting in decreased demand for cosmetics, skincare, and salon services. The graph illustrating the demand curve for beauty products and services would shift to the left, indicating a decrease in quantity demanded at each price level.
The supply side of the Beauty Industry has also been affected. Manufacturing facilities faced disruptions due to restrictions and reduced workforce, leading to supply shortages. Additionally, salon closures and reduced operations affected the availability of beauty services. The graph representing the supply curve would shift to the left, indicating a decrease in quantity supplied at each price level.
The elasticity of demand for beauty products and services is an important factor. With the economic impact of the pandemic, consumers may prioritize essential goods and cut back on non-essential items like beauty products. The demand elasticity for these products may be relatively elastic, meaning a small change in price can lead to a significant change in quantity demanded.
Overall, the COVID-19 pandemic has caused a decline in demand and supply in the Beauty Industry in Bangladesh. The industry has faced challenges due to reduced consumer spending and operational limitations.
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Thomson Trucking has $9 billion in assets, and its tax rate is
25%. Its basic earning power (BEP) ratio is 17%, and its return on
assets (ROA) is 5.25%. What is its times-interest-earned (TIE)
ratio?
Thomson Trucking's TIE ratio is 14.81. The Times Interest Earned ratio (TIE) is also known as the interest coverage ratio. The TIE ratio determines the capacity of a corporation to pay off its interest expenses using its earnings before interest and taxes. Its basic earning power (BEP) ratio is 17%, and its return on assets (ROA) is 5.25%.
What is its times-interest-earned (TIE) ratio?Thomson Trucking has $9 billion in assets and 25% tax rate. The company's BEP = EBIT / Total assets
EBIT = BEP × Total assets
EBIT = 0.17 × $9 billion
EBIT = $1.53 billion
Now, the corporation's ROA = Net income / Total assets
$1.53 billion = Net income / $9 billion
Net income = $1.53 billion × 9/100
Net income = $137.7 million
Interest costs = Net income × (1 - Tax rate) - EBIT
Interest costs = $137.7 million × (1 - 0.25) - $1.53 billion
Interest costs = $103.28 million
TIE ratio = EBIT / Interest costs= $1.53 billion / $103.28 million= 14.81
Therefore, the TIE ratio is 14.81.
The Times Interest Earned (TIE) ratio is a financial indicator that shows how well a corporation can meet its interest payments using its earnings before interest and taxes (EBIT).
The company's basic earning power (BEP) ratio is used to compute EBIT. The ROA ratio, on the other hand, is used to determine net income. After calculating EBIT and net income, the TIE ratio is calculated.
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18. (CAPM and
expected returns)
a. Given the following
holding-period returns,
Month
Sugita Corp.
Market
1
2.2
%
1.8
%
2
−0.8
3.0
3
0.0
Here are the expected returns of Sugita Corp based on the given holding-period returns.
What are the returns?Month
Sugita Corp. Holding-Period Return
Market Holding-Period Return
1 2.2% 1.8%2 -0.8% 3.0%3 0.0%
Using the Capital Asset Pricing Model (CAPM), the expected return of an asset can be calculated using the formula:
Expected return = Risk-free rate + Beta (Market return - Risk-free rate)
Where Beta represents the asset's sensitivity to market risk.
In this case, we are given the market holding-period return for each month, but we do not have the risk-free rate or beta.
Without these values, we cannot accurately calculate the expected returns using the CAPM formula.
Therefore, we cannot provide an answer to this question as it is incomplete.
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Identify three measures used by the Reserve Bank of Australia (RBA) to support jobs, income and businesses in response to the economic effects of COVID-19 pandemic and complete the following table:
Measure
Type (i.e., conventional or unconventional)
How does it work?
Expected effect in economic activity (e.g., spending, borrowing and investing)?
1.
2.
3.
The three measures used by the Reserve Bank of Australia (RBA) to support jobs, income and businesses in response to the economic effects of COVID-19 pandemic are:
1. Target for the yield on three-year Australian Government bonds. Type: Conventional measure.
It works by purchasing government bonds. The expected effect in economic activity includes reduced interest rates, increased borrowing, and spending.
2. Funding for lending. Type: Unconventional measure.
This works by providing lower interest rates for banks that lend to businesses. The expected effect in economic activity includes increased borrowing and lending, increased investment, and spending.
3. Providing liquidity to the financial system. Type: Conventional measure.
It works by lending money to financial institutions. The expected effect in economic activity includes increased lending, reduced interest rates, and spending.
Expected effect in economic activity
Target for the yield on three-year Australian Government bonds.
Conventional measure
It works by purchasing government bonds.
Reduced interest rates, increased borrowing, and spending.
Funding for lending.
Unconventional measure
This works by providing lower interest rates for banks that lend to businesses.
Increased borrowing and lending, increased investment, and spending.
Providing liquidity to the financial system.
Conventional measure
It works by lending money to financial institutions.
Increased lending, reduced interest rates, and spending.
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Steve currently has all of his wealth in Treasury bills. He is considering investing 85% of his funds in Airbus, whose beta is 1.98, with the remainder left in Treasury bills. Airbus has an expected return of 24.50% and Treasury bills have an expected return of 5%. What are Steve's portfolio beta and portfolio expected return?
Portfolio beta = 1.833, and Portfolio expected return = 14.750%.
Portfolio beta = 1.683, and Portfolio expected return = 21.575%.
Portfolio beta = 1.683 and Portfolio expected return = 14.750%.
Portfolio beta = 1.833, and Portfolio expected return = 21.575%.
Portfolio beta = 1.683 and Portfolio expected return = 21.575%.
To calculate Steve's portfolio beta, we need to multiply the beta of Airbus (1.98) by the proportion of funds invested in Airbus (85%).
This gives us (1.98 * 0.85) = 1.683.
To calculate the portfolio expected return, we need to multiply the expected return of Airbus (24.50%) by the proportion of funds invested in Airbus (85%), and add it to the expected return of Treasury bills (5%) multiplied by the proportion of funds invested in Treasury bills (15%).
This gives us ((24.50% * 0.85) + (5% * 0.15)) = 21.575%.
Therefore, Portfolio beta = 1.683 and Portfolio expected return = 21.575%.
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AU.S. importer who has agreed to purchase 100 cases of wine in 3 months from a French export firm, payable in euros (each case is valued at $200) 5 How would the U.S. importer use the forward market to hedge against the risk of exchange rate fluctuations over the next 3 months? a. Would this importer be worried about a dollar appreciation b. depreciation? or Suppose the spot rate of the euro $1.20. What occurs if the U.S. importer does not hedge and the spot rate of the euro in 3 months is $1.25? today is $1.15 and the 3-month forward rate is c.
The importer would be concerned about a dollar appreciation but not about a dollar depreciation.
a. the u.s. importer would use the forward market to hedge against the risk of a dollar appreciation. by entering into a forward contract to purchase euros at a predetermined exchange rate, they can protect themselves from potential losses due to a stronger dollar.
b. the importer would not be worried about a dollar depreciation as it would actually benefit them. a weaker dollar would result in a more favorable exchange rate, allowing the importer to pay less in dollars for the same amount of euros.
if the u.s. importer does not hedge and the spot rate of the euro in 3 months is $1.25, they would face a loss. since the spot rate is higher than the forward rate, they would need to pay more in dollars to purchase euros than they initially anticipated. this exposes them to exchange rate risk and potentially reduces their profitability.
the u.s. importer is concerned about exchange rate fluctuations because the value of the dollar can affect the cost of purchasing euros to pay the french export firm. to mitigate this risk, the importer can use the forward market. a forward contract allows them to lock in an exchange rate today for a future date. by entering into a forward contract to buy euros at a predetermined rate, the importer can ensure a fixed cost in dollars for the wine purchase, regardless of the future exchange rate. if the dollar appreciates against the euro (meaning the value of the dollar increases relative to the euro), the importer would benefit from the locked-in exchange rate and pay less in dollars. however, if the dollar depreciates (meaning the value of the dollar decreases relative to the euro), the importer would face losses as they would need to pay more in dollars than the locked-in rate. if the importer decides not to hedge and the spot rate of the euro in 3 months is $1.25, they would face a higher cost. since the spot rate is higher than the forward rate they could have secured, the importer would need to pay more in dollars to purchase the euros required to pay the french export firm. this exposes them to the risk of unfavorable exchange rate movements, potentially impacting their profitability.
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why the difference of ROE and ROA is large for some companies
while it is small for other companies
The difference between Return on Equity (ROE) and Return on Assets (ROA) can vary for different companies due to various factors and business dynamics such as Capital Structure, Profit Margins, Asset Intensity etc.
Here are some reasons why the difference between ROE and ROA can be large for some companies and small for others:
1. Capital Structure: Companies with a higher proportion of debt in their capital structure will generally have a larger difference between ROE and ROA. This is because ROE considers the impact of leverage on equity returns, while ROA focuses on the returns generated by all assets. If a company has a significant amount of debt, it will have higher financial leverage, amplifying the difference between ROE and ROA.
2. Asset Intensity: The difference between ROE and ROA can also be influenced by the asset intensity of a company. Asset-intensive industries, such as manufacturing or utilities, typically require substantial investments in fixed assets. These companies may have a smaller difference between ROE and ROA since a significant portion of their assets contributes directly to generating profits.
3. Profit Margins: Differences in profit margins can contribute to variations in the difference between ROE and ROA. If a company has higher profit margins, it means it is generating more profit from its sales relative to its assets. In this case, the difference between ROE and ROA will tend to be smaller. Conversely, if a company has lower profit margins, it will have a larger difference between ROE and ROA.
4. Business Model and Industry Dynamics: Different industries and business models can lead to varying differences between ROE and ROA. For example, service-based companies that have low asset requirements but can generate high returns on equity may have a smaller difference. On the other hand, capital-intensive industries, such as infrastructure or real estate, may have a larger difference due to the substantial investment in assets required to generate returns.
5. Timing and Investment Decisions: The difference between ROE and ROA can also be influenced by the timing of investments and their impact on equity. If a company makes significant investments that have not yet generated returns, it may temporarily have a larger difference between ROE and ROA. As these investments start generating returns, the difference can decrease.
It's important to note that the difference between ROE and ROA is just one aspect of a company's financial performance. A comprehensive analysis should consider other financial ratios, industry dynamics, competitive positioning, and management strategy to get a more accurate understanding of a company's financial health and performance.
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The quantity of soccer cleats a sporting goods store is willing to supply into the market per week at a price "p" (in dollars) is given by S(p) = 75√/4p +25 - 350. a. Find the derivative of the supply function. b. Find the supply when the price is $50. c. Find the instantaneous rate of change in supply with respect to price when price is $50. d. Explain what your answers in part b and part c tell us about the company's supply.
a. The derivative of the supply function is given by;S(p) = 75√/4p +25 - 350= 75(1/2p^(-1/2)) = 37.5p^(-1/2)
The derivative of the supply function is; S'(p) = 37.5p^(-1/2)
b. The supply when the price is $50 is given by;S(p) = 75√/4p +25 - 350S(50) = 75√/4(50) +25 - 350= 75√/200 +25 - 350≈ 4.07. Therefore, the supply when the price is $50 is approximately 4.07.
c. The instantaneous rate of change in supply with respect to price when price is $50 is given by the first derivative at that point. Therefore;S'(p) = 37.5p^(-1/2)S'(50) = 37.5(50)^(-1/2)≈ 2.65.
Therefore, the instantaneous rate of change in supply with respect to price when the price is $50 is approximately 2.65.
d. The answer in part (b) shows that the company is willing to supply approximately 4.07 soccer cleats into the market when the price is $50. While the answer in part (c) tells us that for every $1 increase in price, the company is willing to supply approximately 2.65 more soccer cleats into the market per week.
Therefore, the company's supply is positively related to the price of the soccer cleats. As the price increases, the company is willing to supply more soccer cleats.
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Banks and other lending institutions have many different types of loans ayailable for people interested in purchasing a home. Several of the more common types of mortgage loans are described below: - Conventional fixed-rate mortgages charge the same rate of interest over the term of the loan. They typically require a substantial down payment of 20 percent or more of the home's purchase price and have terms that can last from 15 to 30 years. - Adjustable-rate mortgages charge an interest rate that initially is lower than that charged on a conventional fixed-rate mortgage. This rate, however, will be adjusted as prevailing interest rates change. They also require a substantial down payment and have terms with a 15 to 30 year maturity. If the borrower does not have the 20% down payment, they will be required to purchase Private Mortgage Insurance (PMII). - Federal Housing Authority (FHA "To qualify for FHA's minimum down payment of 3.5%, a borrower must have a credit score of 580 or above," Brian Sullivan, HUD public affaiirs specialist, tells NerdWallet. "Between 500 to 579 , the borrower must put 10% down." With an FHA loan, if you put less than 10% down, you'll pay 1.75% of the loan amount upfront and make monthly mortgage insurance payments for the life of the loan. With a down payment of 10% or more (that is, a loan-to-value of 90% or better), the premiums will end after 11 years. The PMl costs are determined based upon the credit score of the borrower and the loan-to-value of the property being purchased. Conventional loans with less than 20% down charge private mortgage insurance. It can be charged as an upfront expense payable at closing, or built into your monthly payment - or both. It all depends on the insurer the lender uses. - Graduated payment mortgages set relatively low monthly mortgage payments when the mortgage is first created and then gradually increases the payments over the first five years or so. The payment often level off after that time. This type of loan may be useful for someone whose income will increase over time because the payments will increase as the income increases. Directions: Choose a mortgage loan that would be appropriate for cach of the following individuals.
For each of the following individuals, the appropriate mortgage loan would be:
1. Individual with a stable income and a substantial down payment: A conventional fixed-rate mortgage would be appropriate. This loan charges the same rate of interest over the term of the loan and typically requires a down payment of 20% or more.
2. Individual who wants lower initial interest rates and is comfortable with potential rate adjustments: An adjustable-rate mortgage (ARM) would be suitable. ARMs offer lower interest rates initially, but the rate can be adjusted as prevailing rates change. It also requires a substantial down payment.
3. Individual with a lower credit score and less than 10% down payment: An FHA loan would be the best option. FHA loans have a minimum down payment requirement of 3.5% for borrowers with a credit score of 580 or above. For borrowers with a credit score between 500 and 579, a 10% down payment is required. FHA loans also require mortgage insurance.
4. Individual with less than 20% down payment and a good credit score: A conventional loan with private mortgage insurance (PMI) would be suitable. PMI can be paid as an upfront expense at closing or built into the monthly payment. The cost of PMI is determined by the borrower's credit score and the loan-to-value ratio.
5. Individual with a lower income initially but expects income to increase over time: A graduated payment mortgage would be appropriate. This type of loan offers low initial monthly payments that gradually increase over the first few years. It may be beneficial for someone whose income is expected to rise in the future.
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During 2021, Raines Umbrella Corporation had sales of $727,000. Cost of goods sold, administrative and selling expenses, and depreciation expenses were $450,000, $97,000, and $142,500, respectively. In addition, the company had an interest expense of $71,400 and a tax rate of 25 percent. (Ignore any tax loss carryforward provisions and assume interest expense is fully deductible.) a. What is the company's net income/loss for 2021? (Do not round intermediate calculations and enter your answer as a positive value.) b. What is the company's operating cash flow? (Do not round intermediate calculations.)
Calculation of the Net Income , Net Income can be calculated as follows:ParticularsAmount ($)Sales Revenue727,000Less Cost of Goods Sold450,000 Less Administrative & Selling Expenses97,000 Less Depreciation142,500 Earnings Before Interest and Taxes (EBIT) 37,500 Less Interest Expense71,400 Earnings.
Before Taxes (EBT)(33,900) Less Taxes(25% of EBT)8,475Net Income/(Loss)(25,375)Therefore, the Net Income for the year 2021 is $(25,375). Calculation of the Operating Cash Flow Operating Cash Flow can be calculated as follows:ParticularsAmount ($)Net Income/(Loss)(25,375)Add: Depreciation 142,500Increase in Accounts Payable(15,800) Increase in Accounts Receivable(8,200) Increase in Inventories (19,000) Operating Cash Flow 94,825.
Therefore, the Operating Cash Flow for the year 2021 is $94,825.
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Erin Toffler, a portfolio manager at Esposito Investments, manages the retirement account established with the firm by her parents.Whenever IPOs become available, she first allocates shares to all her other clients for whom the investment is appropriate; only then does she place any remaining portion in her parents’ account, if the issue is appropriate for them. She has adopted this procedure so that no one can accuse her of favoring her parents.Which of the following is true?Toffler has a duty to treat all clients equally regardless of personal relationshipsToffler should not act for family members as this puts her in a conflicted positionToffler successfully avoids disadvantaging other clients with this approachToffler should not allow personal relationships to influence the way she conducts business and in addition must comply with her firm’s policies on personal transactions (e.g. preclearance procedures)
The retirement account set up with the company by her parents is managed by Erin Toffler, a portfolio manager at Esposito Investments.
When IPOs become available, she first distributes shares to all of her other clients for whom the investment is appropriate; only then, if the issue is appropriate for her parents, does she transfer any remaining shares to their account. To avoid being accused of favoring her parents, she has adopted this practice.
All clients must be given equal priority, regardless of the client’s relationship to the adviser or the financial services firm. A broker or adviser must have a strong grasp of the potential dangers of mishandling customer information, conflicts of interest, and insider trading. Toffler should not be influenced by personal relationships in the way she does business, and she must comply with her company’s policies on personal transactions.
An investment adviser must be fair and just to all of his or her customers. The financial services firm's clients must be provided with recommendations and transactions that are appropriate for their investment objectives, risk tolerance, and other aspects of their individual financial situations.
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Suppose Appalachia has 200 tons of coal to allocate between this period and next period. The marginal net benefit curve for coal this period is MNB-200-Q The marginal net benefit curve for coal next penod is MNB-200-20 Assume the discount rate for future benefits is 100%, Then, the dynamically efficient quantities are [a] for this period and [b] for next penod Hint Type integers. Specified Answer for: a Specified Answer for: b
The dynamically efficient quantity of coal to allocate next period is 180 tons (b = 180).a) 20 tons for this period.b) 180 tons for next period
the dynamically efficient quantities for coal allocation between this period and next period can be determined by finding the points where the marginal net benefit (MNB) curves intersect.
In this case, the MNB curve for coal this period is given by MNB = 200 - Q, where Q represents the quantity of coal allocated this period. The MNB curve for coal next period is given by MNB = 200 - 20, since 100% discount rate implies that future benefits are not considered.
the intersection point, we set the two MNB curves equal to each other:
200 - Q = 200 - 20
Simplifying the equation, we get:
-Q = -20
Multiplying both sides by -1, we have:
Q = 20
Therefore, the dynamically efficient quantity of coal to allocate this period is 20 tons (a = 20).
Since there is no discount rate applied to the benefits in the next period, the dynamically efficient quantity for next period is the remaining amount of coal after allocating 20 tons in this period.
Given that Appalachia has 200 tons of coal in total, and 20 tons were allocated this period, the remaining amount for next period is:
200 - 20 = 180 tons
Therefore, the dynamically efficient quantity of coal to allocate next period is 180 tons (b = 180).
To summarize, the dynamically efficient quantities are:
a) 20 tons for this period
b) 180 tons for next period
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Identify the three major types of bond risk; default,
inflation and interest rate changes.
The three major types of bond risk are default risk, inflation risk, and interest rate risk.
Default risk is the risk that the issuer of a bond may fail to make timely interest payments or repay the principal amount at maturity. It is essentially the risk of default or bankruptcy by the bond issuer. If a bond issuer defaults, bondholders may face a loss of income and/or a loss of principal.
Inflation risk refers to the potential loss of purchasing power due to the erosion of the real value of the bond's future cash flows caused by inflation. Inflation reduces the purchasing power of money over time, so the fixed interest payments from a bond may not be sufficient to keep up with rising prices. As a result, the bond's real return may be diminished, leading to a decrease in its value.
Interest rate risk is the risk associated with changes in interest rates. When interest rates rise, the value of existing bonds with lower coupon rates decreases because newly issued bonds with higher coupon rates become more attractive to investors. Conversely, when interest rates decline, the value of existing bonds with higher coupon rates increases as they offer a higher yield compared to newly issued bonds.
Default risk arises from the creditworthiness of the bond issuer, and factors such as the issuer's financial health and economic conditions play a significant role. Inflation risk is influenced by macroeconomic factors and the expectations of future inflation. Interest rate risk is closely tied to the overall interest rate environment and the relationship between a bond's coupon rate and prevailing market rates. Understanding these risks is crucial for bond investors to make informed decisions and manage their investment portfolios effectively.
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What+is+the+value+of+a+perpetual+bond+with+a+par+value+of+$1,000+and+a+coupon+rate+of+9%+(semiannual+coupon)?+the+bond+has+a+yield+to+maturity+of+6.40%.
The value of a perpetual bond with a par value of $1,000 and a coupon rate of 9% (semiannual coupon) and a yield to maturity of 6.40% can be calculated using the formula for the present value of perpetuity.
A perpetual bond is a bond that has no maturity date, meaning it continues indefinitely. The value of a perpetual bond can be calculated by dividing the coupon payment by the yield to maturity.
In this case, the coupon rate is 9%, which means the bond pays $45 ($1,000 * 0.09 / 2) every six months. The yield to maturity is 6.40%, which should be converted to a semiannual rate of 3.20% (6.40% / 2).
Using the formula for the present value of perpetuity, the value of the perpetual bond can be calculated as follows:
Value = Coupon Payment / Yield to Maturity
Value = $45 / 0.032
Calculating the above expression gives us a value of approximately $1,406.25.
Therefore, the value of the perpetual bond with a par value of $1,000, a coupon rate of 9%, and a yield to maturity of 6.40% is approximately $1,406.25. This represents the present value of the perpetuity, taking into account the coupon payments and the required yield to maturity.
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Matthew earned $1,000 this pay period. He will pay $94.12 in federal taxes. He does not have to pay state income tax. Social security tax is 6.2%, which is $62. Medicare is 1.45%, which is $14.50. Calculate Matthew's net pay with all mandatory taxes included.
Answer: 829.38
Explanation:
(Transaction Analysis-Service Company) Beverly Crusher is a licensed CPA. During the first month of operations of her business (a sole proprietorship), the following events and transactions occurred. April Invested $32,000 cash and equipment 2 valued at $14,000 in the business. 2 Hired an administrative assistant at a salary . of $290 per week payable monthly. 3 Purchased supplies on account $700. (Debit an asset account.) 7 Paid office rent of $600 for the month. 11 Completed a tax assignment and billed client $1,100 for services rendered. (Use Service Revenue account.) 12 12 Received $3,200 advance on a management consulting engagement. 17 Received cash of $2,300 for services completed for Ferengi Co. 21 Paid insurance expense $110. 30 Paid administrative assistant $1,160 for the month. 30 A count of supplies indicated that $120 of supplies had been used. 30 Purchased a new computer for $6,100 with personal funds. (The computer will be used exclusively for business purposes.) Instructions Journalize the transactions in the general journal. (Omit explanations.)
Journal Entries:
April 2:
Cash 32,000
Equipment 14,000
Owner's Equity 46,000
April 2:
Administrative Assistant Salary Expense 290
Cash 290
April 2:
Supplies 700
Accounts Payable 700
April 7:
Rent Expense 600
Cash 600
April 11:
Accounts Receivable 1,100
Service Revenue 1,100
April 12:
Cash 3,200
Unearned Revenue 3,200
April 17:
Cash 2,300
Accounts Receivable 2,300
April 17:
Insurance Expense 110
Cash 110
April 30:
Administrative Assistant Salary Expense 1,160
Cash 1,160
April 30:
Supplies Expense 120
Supplies 120
April 30:
Equipment 6,100
Owner's Equity 6,100
1. On April 2, the owner invested $32,000 cash and equipment valued at $14,000 in the business. These are recorded as an increase in cash, an increase in equipment, and an increase in owner's equity.
2. On April 2, the business hired an administrative assistant and paid a weekly salary of $290. This transaction records the salary expense and decrease in cash.
3. On April 2, supplies were purchased on account for $700, which increases supplies and accounts payable.
4. On April 7, the business paid office rent for the month, recording the rent expense and decrease in cash.
5. On April 11, the business completed a tax assignment and billed the client $1,100 for services rendered. This transaction increases accounts receivable and service revenue.
6. On April 12, the business received a $3,200 advance for a management consulting engagement, which increases cash and records the unearned revenue.
7. On April 17, the business received cash in the amount of $2,300 for services completed for Ferengi Co., which increases cash and decreases accounts receivable.
8. On April 17, insurance expense of $110 was paid in cash.
9. On April 30, the business paid the administrative assistant's monthly salary of $1,160, recording the expense and decrease in cash.
10. On April 30, a count of supplies indicated that $120 worth of supplies had been used, which decreases the supplies account.
11. On April 30, the owner purchased a new computer for $6,100 using personal funds, which increases equipment and owner's equity.
These journal entries accurately record the transactions that occurred during the first month of operations for Beverly Crusher's business.
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Question 44 (1.4286 points) 44) which of the following would not be included in the expenditures category called investment spending? a) A) spending on new houses Ob) B) a purchase of shares of Disney stock Oc) C) a purchase of a copy machine by kinkos d) D) the cars held in inventory on a local ford dealer's lot Question 45 (1.4286 points) 45) How much your money buys reflects and the face value of your money is a) A) comparative advantage; absolute advantage Ob) B) the nominal principle; the real principle Oc) C) the nominal principle; the real principle d) D) nominal GDP; real GDP e) E) none of the above are correct A
Q 44, option B) a purchase of shares of Disney stock would not be included in the expenditures category called investment spending.
Q 45, The correct answer is D) nominal GDP much your money buys reflects and the face value of your money is real GDP.
Investment refers to the allocation of financial resources, typically with the goal of generating income or achieving long-term growth. It involves the purchase or acquisition of assets, such as stocks, bonds, real estate, or business ventures, with the expectation of obtaining returns in the form of capital appreciation, dividends, interest, or rental income. Investment decisions are based on various factors, including risk tolerance, time horizon, expected returns, and market conditions. Proper investment management and diversification can help individuals and institutions achieve financial goals and build wealth over time.
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Provisions
As of December 31, 20X3, Parvoz Company has accounts receivable from the following customers, payments for which are overdue:
• counterparty, A - 2,450,000 UZS, delay - 112 days;
• counterparty B - 4,000,000 UZS, delay - 80 days;
• counterparty C - 1,000,000 UZS, delay - 55 days;
• counterparty D - 1,000,000 UZS, delay - 10 days.
At the same time, the head of the department for work with accounts receivable has the following information in relation to the above counterparties:
• counterparty, A - bad debt to be collected in full amount of the debt;
• counterparty B - the estimated amount of debt not subject to return as of December 31, 20X3 is equal to UZS 1,000,000;
• counterparties C and D - the estimated amount of debt not subject to return as of December 31, 20X3 is UZS 1,000,000 each.
According to the company’s accounting policy, the amount of provision for the bad and doubtful debts is equal to 100 percent for bad debt with overdue amount for more than 90 days and 50 percent for doubtful debts with the due amount for the period between 45 and 90 days.
Required:
a) Identify whether the accounting policy regarding the provisions for bad and doubtful debts is consistent with the requirements of IFRS/IAS. If there are inconsistencies, identify and explain them.
b) Estimate the amount of the provisions to be create in accordance with IFRS/IAS.
c) Provide journal entries for the adjustments.
a) The accounting policy regarding the provisions for bad and doubtful debts is inconsistent with the requirements of IFRS/IAS. IFRS requires an entity to account for impairment of trade receivables using the expected credit loss model and not by specifying a set percentage of doubtful debts.
Furthermore, IFRS 9 requires impairment provisions to be estimated using a forward-looking approach.
b) According to IFRS 9, the amount of the provisions should be based on the expected credit loss, which takes into account forward-looking factors and historical experience. Therefore, in accordance with IFRS/IAS, the amount of provision should be estimated using a forward-looking approach, such as probability-weighted estimates of cash flows.
c) Journal entries for the adjustments: 1. Bad debt provision (counterparty A) ................ 2,450,000Accounts receivable - counterparty A............................................ 2,450,000(To record a bad debt provision for 100% of the amount due from counterparty A)2. Bad debt provision (counterparty B)................. 3,000,000Accounts receivable - counterparty B............................................ 3,000,000(To record a bad debt provision for 75% of the amount due from counterparty B)
3. Bad debt provision (counterparties C & D)................. 2,000,000Accounts receivable - counterparties C & D............................................ 2,000,000(To record a bad debt provision for 50% of the amount due from counterparties C & D).
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A spherical capacitor is comprised of two concentric conducting shells. The inner shell has a radius r1 the outer shell has a radius of r2. The inner shell has a positive charge Q. The outer shell has a negative charge, -Q. Which equation represents the capacitance of the two shells
The capacitance of a spherical capacitor with inner shell radius r1, outer shell radius r2, and charges +Q and -Q is given by C = 4πε₀r₁r₂/(r₂ - r₁).
To understand this equation, let's break it down step by step:
1. The formula for capacitance, C, relates the charge stored on each shell to the potential difference between them. In this case, the inner shell has a positive charge, Q, and the outer shell has a negative charge, -Q.
2. The capacitance of the two shells is determined by the geometry of the capacitor. In a spherical capacitor, the inner and outer shells are concentric, meaning they share the same center point.
3. The radii of the shells, r₁ and r₂, are the distances from the center point to the inner and outer shells, respectively.
4. The formula for capacitance of a spherical capacitor takes into account the radii of the shells and the permittivity of free space, ε₀. The permittivity of free space is a fundamental constant that relates to how electric fields interact with matter.
5. By plugging in the values for the radii of the shells, r₁ and r₂, as well as the permittivity of free space, ε₀, into the formula C = 4πε₀r₁r₂/(r₂ - r₁), you can calculate the capacitance of the spherical capacitor.
For example, let's say the inner shell has a radius of 2 cm (r₁ = 2 cm) and the outer shell has a radius of 5 cm (r₂ = 5 cm). Using the formula C = 4πε₀r₁r₂/(r₂ - r₁), and assuming the permittivity of free space, ε₀, is approximately 8.85 x 10⁻¹² F/m, we can calculate the capacitance:
C = 4π(8.85 x 10⁻¹² F/m)(2 cm)(5 cm)/(5 cm - 2 cm)
≈ 2.94 x 10⁻¹⁰ F
So, the capacitance of the two shells in this example would be approximately 2.94 x 10⁻¹⁰ Farads (F).
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You own a stock portfolio invested 15 percent in Stock Q, 20 percent in Stock R, 30 percent in Stock S, and 35 percent in Stock T. The betas for these four stocks are 79 , 1.23,1.13, and 1.36, respectively. What is the portfolio beta? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Weight of Stock Q = 15%
Beta of Stock Q = 0.79
Weight of Stock R = 20%
Beta of Stock R = 1.23
Weight of Stock S = 30%
Beta of Stock S = 1.13
Weight of Stock T = 35%
Beta of Stock T = 1.36
The portfolio beta can be calculated by multiplying the weight of each stock by its corresponding beta and summing up the results.
Portfolio Beta = (Weight of Stock Q * Beta of Stock Q) + (Weight of Stock R * Beta of Stock R) + (Weight of Stock S * Beta of Stock S) + (Weight of Stock T * Beta of Stock T)
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XYZ Corporation, located in the United States, has an accounts payable obligation of ¥750 million payable in one year to a bank in Tokyo The current spot rate is 7116/$1.00 and the one year forward rate is ¥/109/$1.00. The annual interest rate is 3 percent in Japan and 6 percent in the United States. XYZ can also buy a one-year call option on yen at the strike price of $0.0086 per yen for a premrum of 0.012 cent per yen. The future dollar cost of meeting this obligation using the forward hedge is $6,450,000
$6,545,400
$6,653,833
$6,880,734.
The future dollar cost of meeting the obligation using the forward hedge is approximately $6,880,733.94.
To determine the future dollar cost of meeting the accounts payable obligation using the forward hedge, we can follow these steps:
1. Calculate the future value of the payable obligation using the one-year forward rate:
Future Value = ¥750 million / (¥109/$1) = $6,880,733.94 (rounded to the nearest cent)
Therefore, the future dollar cost of meeting the obligation using the forward hedge is approximately $6,880,733.94.
Among the provided answer choices, the closest value is $6,880,734, which matches the calculated future dollar cost.
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6. Moore Limited uses 5,000 units of its main raw material per month. The material costs $4 per unit to buy, supplier’s delivery costs are $25 per order and internal ordering costs are $2 per order. Total annual holding costs are $1 per unit. The supplier has offered a discount of 1% if 4,000 units of the material are bought at a time.
Required: Establish the economic order quantity (EOQ) ignoring the discount opportunities
The economic order quantity (EOQ) for Moore Limited is 1000 units.
Economic Order Quantity (EOQ) is an inventory management method that is used to calculate the number of units a company should add to its inventory with each order. EOQ is a vital tool for ensuring the right amount of stock is ordered at the right time to prevent stock shortages or surpluses.
The economic order quantity (EOQ) is a formula used to calculate the optimal quantity of items to order in order to minimize the total cost of the inventory. It’s a balance of the carrying cost, ordering cost, and stockout cost. The EOQ formula is calculated by taking the square root of (2DS/H) where D represents the annual demand, S represents the order cost, and H represents the holding cost per unit.
The EOQ ignoring the discount opportunities is 1000 units, which was calculated as follows:
EOQ = √((2DS)/H)EOQ = √((2 * 5,000 * 25) / 1)EOQ = √250,000EOQ = 1,000Therefore, Moore Limited should order 1,000 units of its main raw material each time to minimize total inventory costs.
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