False. Your monthly payment will not increase if you decrease the down payment on the loan.
When you decrease the down payment on a loan, it means you are borrowing a larger amount of money.
With a larger loan amount, your monthly payment is likely to increase due to a higher principal balance.
However, other variables such as the interest rate and loan term can also impact the monthly payment.
If the interest rate or loan term remains constant, decreasing the down payment would generally lead to an increase in the monthly payment.
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When Padgett Properties LLC was formed, Nova contributed land (value of $200,000 and basis
of $50,000) and $100,000 cash, and Oscar contributed cash of $300,000. Both members
received a 50% interest in LLC profits and capital.
a. What is the tax characterization of Padgett Properties LLC, assuming no Form 8832 is filed?
b. If no 8832 is filed, answer the following:
i. Any gain or loss recognized on formation?
ii. What is the basis of Nova and Oscar in their partnership interests?
iii. What is the basis of the land in the hands of Padgett Properties LLC
c. Does your answer to b. above change if Oscar contributed services worth $300,000
instead of cash?
2. AB partnership is a 50/50 PS; A has a June 30 year end (YE), and B has a July 31 year end. What
is the required taxable year of the partnership?
Padgett Properties LLC would default to being classified as a partnership for tax purposes without filing Form 8832.
i. No gain or loss is recognized on formation because contributions of property are generally tax-free.
ii. Nova's basis in their partnership interest is $250,000 ($50,000 basis in land + $200,000 value of land).
Oscar's basis in their partnership interest is $300,000 (cash contribution).
iii. The basis of the land in the hands of Padgett Properties LLC is $50,000 (Nova's basis in the land).
c. If Oscar contributed services worth $300,000 instead of cash, the answer to part b.iii. would remain the same. The basis of the land in the hands of Padgett Properties LLC would still be $50,000.
a. Without filing Form 8832 to elect a different tax classification, Padgett Properties LLC defaults to being treated as a partnership for tax purposes. This means that the LLC itself is not subject to income tax. Instead, the profits and losses of the LLC flow through to the individual members, who report them on their personal tax returns.
i. When property is contributed to a partnership in exchange for an ownership interest, generally no gain or loss is recognized at the time of formation. Therefore, there would be no taxable gain or loss in this case.
ii. The basis of a partner's interest in a partnership generally includes their initial capital contribution. In this case, Nova's basis would be the sum of the basis in the land ($50,000) and the value of the land ($200,000), totaling $250,000. Oscar's basis would be the amount of cash contributed ($300,000).
iii. The basis of the contributed land in the hands of Padgett Properties LLC would be the same as Nova's basis, which is $50,000.
c. If Oscar contributed services worth $300,000 instead of cash, the tax consequences would be different for Oscar. The value of the services rendered would not affect the basis of the land in the hands of Padgett Properties LLC. The basis of the land would still be $50,000, as it was determined by Nova's contribution. Oscar's basis in their partnership interest would remain at $300,000 since services rendered do not increase basis.
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Explain what leadership competencies and characteristics you
would need for a successful negotiations
Leadership competencies and characteristics play a crucial role in achieving successful negotiations. Effective communication and emotional intelligence are key competencies required for negotiation success.
During negotiations, leaders need to possess strong communication skills to express their ideas clearly, actively listen to the other party, and find common ground. Effective communication helps build rapport and understanding, leading to more favorable outcomes. Additionally, leaders with high emotional intelligence can manage their own emotions and understand the emotions of others, allowing them to navigate difficult situations with empathy and maintain a positive atmosphere during negotiations.
Furthermore, leaders should demonstrate flexibility and problem-solving abilities. Flexibility enables leaders to adapt to changing circumstances, explore alternative solutions, and find mutually beneficial agreements. Effective problem-solving skills allow leaders to analyze complex situations, identify creative solutions, and overcome obstacles that may arise during negotiations.
Lastly, leaders should exhibit patience and resilience. Negotiations can be challenging and time-consuming, requiring leaders to stay patient and persistent. Resilience helps leaders navigate setbacks and maintain focus on achieving the desired outcomes.
In summary, leadership competencies such as communication and emotional intelligence, coupled with characteristics like flexibility, problem-solving abilities, patience, and resilience, are essential for successful negotiations.
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A Prepare cumrent liability entries, P10-1A On January 1, 2017, the ledger of Romada Company contained these liability adjusting entries, and current accounts. liabilities section. (L० 1, 4), AP During January, the following selected transactions occurred. Jan. 1 Borrowed $18,000 in cash from Apex Bank on a 4-month, 5\%, $18,000 note. 5 Sold merchandise for cash totaling $6,254, which includes 6% sales taxes. Performed services for customers who had made advance payments of $10,000. 14 Paid state treasurer's department for sales taxes collected in December 2016. $6,600. 20 Sold 500 units of a new product on credit at $48 per unit, plus 6% sales tax. During January, the company's employees earned wages of $70,000. Withholdings related to these wages were $5,355 for Social Security (FICA), $5,000 for federal income tax, and $1,500 for state income tax. The company owed no money related to these earnings for federal or state unemployment tax. Assume that wages earned during January will be paid during February. No entry had been recorded for wages or payroll tax expense as of January 31. Instructions (a) Journalize the January transactions. (b) Journalize the adjusting entries at January 31 for the outstanding note payable and for salaries and wages expense and payroll tax expense. Tot. current (c) Prepare the current liabilities section of the balance sheet at January 31, 2017. Assume liabilities $146,724 no change in Accounts Payable.
The journal entries record the January transactions, including borrowing cash, sales, advance payments, sales taxes, and wages.
(a) Journalizing the January transactions:
Jan. 1: Cash 18,000
Notes Payable 18,000
Jan. 5: Cash 5,904
Sales Revenue 5,254
Sales Taxes Payable 350
Jan. 5: Unearned Service Revenue 10,000
Service Revenue 10,000
Jan. 14: Sales Taxes Payable 6,600
Cash 6,600
Jan. 20: Accounts Receivable 25,320
Sales Revenue 24,000
Sales Taxes Payable 1,320
Jan. 31: Salaries and Wages Expense 70,000
Social Security Payable 5,355
Federal Income Tax Payable 5,000
State Income Tax Payable 1,500
Salaries and Wages Payable 58,145
(b) Adjusting entries at January 31:
Jan. 31: Interest Expense 300
Interest Payable 300 ($18,000 x 0.05 x 1/12)
Jan. 31: Salaries and Wages Expense 58,145
Social Security Payable 5,355
Federal Income Tax Payable 5,000
State Income Tax Payable 1,500
Salaries and Wages Payable 46,290
FICA Taxes Payable 5,355
Federal Unemployment Tax Payable 0
State Unemployment Tax Payable 1,500
(c) Current liabilities section of the balance sheet at January 31, 2017:
Liabilities:
Notes Payable $18,000
Sales Taxes Payable $1,670
Interest Payable $300
Salaries and Wages Payable $46,290
FICA Taxes Payable $5,355
Federal Income Tax Payable $5,000
State Income Tax Payable $1,500
Total Current Liabilities $78,115
(a) The journal entries record the January transactions, including borrowing cash, sales, advance payments, sales taxes, and wages. Each transaction is recorded by debiting and crediting the appropriate accounts to reflect the impact on the financial statements.
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Test Company projected the following sales for the first six months of the year.
Total sales:
January $250.000
February $300.000
March $280.000
April $ 310.000
May $320.000
June $300.000
Of the total sales, 10% are cash sales, and the remaining sales are on credit. Credit sales are collected: 40% in the month of sale, 50% in the first month following the sale, 5% in the second month following the sale, and the remaining credit sales are uncollectible. Determine total cash collections for March.
The total cash collections for March amount to $366,000.
To determine the total cash collections for March, we need to calculate the cash collections from credit sales made in January, February, and March.
First, let's calculate the credit sales for each month:
January Credit Sales = January Total Sales × (1 - Cash Sales Percentage)
= $250,000 × (1 - 0.10)
= $225,000
February Credit Sales = February Total Sales × (1 - Cash Sales Percentage)
= $300,000 × (1 - 0.10)
= $270,000
March Credit Sales = March Total Sales × (1 - Cash Sales Percentage)
= $280,000 × (1 - 0.10)
= $252,000
Next, we can calculate the cash collections for each category of credit sales:
Cash Collections for January Credit Sales:
Collected in the month of sale = January Credit Sales × Collection Percentage (40%)
= $225,000 × 0.40
= $90,000
Cash Collections for February Credit Sales:
Collected in the month of sale = February Credit Sales × Collection Percentage (40%)
= $270,000 × 0.40
= $108,000
Collected in the first month following the sale = February Credit Sales × Collection Percentage (50%)
= $270,000 × 0.50
= $135,000
Cash Collections for March Credit Sales:
Collected in the month of sale = March Credit Sales × Collection Percentage (40%)
= $252,000 × 0.40
= $100,800
Collected in the first month following the sale = March Credit Sales × Collection Percentage (50%)
= $252,000 × 0.50
= $126,000
Collected in the second month following the sale = March Credit Sales × Collection Percentage (5%)
= $252,000 × 0.05
= $12,600
Finally, we can calculate the total cash collections for March by summing up the cash collections from each category:
Total Cash Collections for March = Cash Collections for January Credit Sales (collected in March)
+ Cash Collections for February Credit Sales (collected in March)
+ Cash Collections for March Credit Sales (collected in March)
+ Cash Collections for March Credit Sales (collected in the first month following the sale)
+ Cash Collections for March Credit Sales (collected in the second month following the sale)
Total Cash Collections for March = $90,000 + $108,000 + $100,800 + $126,000 + $12,600
= $436,400
Rounding to the nearest dollar, the total cash collections for March amount to $436,000.
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The first step to accomplishing a task is planning. Now, planning encapsulates various factors. It involves procuring the goods, storage facilities, and delivery of products to the exact location. Apart from these, the other parameters are – time, transportation, and the costs. A supply chain operative should be able to devise the flow chart for the whole operation. The purpose of planning is to attain maximum work in the least possible time. At the same time, the planning should aim at maximizing the profits. Proper planning is a wise plan, but an experienced manager will be able to prepare for the unforeseen circumstances as well. With this regard, Examine some common methods used to generate alternative organizational plans. (25)
Generating alternative organizational plans involves exploring different approaches and strategies to achieve the desired goals and objectives. Here are some common methods used to generate alternative organizational plans:
Brainstorming: This method involves a group discussion where participants generate ideas and solutions without any judgment or criticism. It encourages creative thinking and allows for a wide range of alternatives to be considered.
SWOT Analysis: SWOT stands for Strengths, Weaknesses, Opportunities, and Threats. This method involves assessing the internal and external factors that impact the organization. By identifying strengths and weaknesses, as well as opportunities and threats, alternative plans can be developed to leverage strengths, address weaknesses, seize opportunities, and mitigate threats.
Scenario Planning: Scenario planning involves creating and analyzing different future scenarios based on different assumptions and variables. By exploring various potential scenarios, organizations can develop alternative plans that can adapt to different circumstances.
Benchmarking: Benchmarking involves studying and analyzing best practices and successful strategies used by other organizations in similar industries or sectors. By identifying successful approaches, organizations can generate alternative plans that incorporate proven methods and improve performance.
Decision Trees: Decision trees are visual representations that map out different possible decisions and their potential outcomes. By analyzing the potential consequences and probabilities associated with each decision, alternative plans can be formulated to optimize outcomes and minimize risks.
Simulation and Modeling: Simulation and modeling techniques involve creating computer-based simulations or mathematical models to test and evaluate different scenarios and strategies. By running simulations and analyzing the results, alternative plans can be refined and optimized.
Pilot Projects: Pilot projects involve implementing a small-scale version of a plan or strategy to test its feasibility and effectiveness. By evaluating the results of the pilot project, alternative plans can be adjusted and modified before full-scale implementation.
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Suppose that left-handed people are more prone to injury than right-handed people. Lefties have an 80 percent chance of suffering an injury leading to a $1,000 loss (in terms of medical expenses and the monetary equivalent of pain and suffering) but righties have only a 20 percent chance of suffering such an injury. The population contains equal numbers of lefties and righties. Individuals all have logarithmic utility-of-wealth functions and initial wealth of $10,000. Insurance is provided by competitive insurers. a. Assume insurance companies cannot distinguish lefties from righties and so offer a single contract. If both types are equally likely to buy insurance, what would be the actuarially fair premium for full insurance? b. Which types will buy insurance at the premium calculated in (a)? c. Given your results from part (b), will the insurance premiums be correctly computed? Explain
a. The actuarially fair premium for full insurance would be $500. b. Righties would also buy insurance since their expected loss of $200 is lower than the premium, ensuring protection against potential losses. c. The insurance premiums are correctly computed based on the assumption that both lefties and righties are equally likely to buy insurance.
a. To determine the actuarially fair premium for full insurance, we need to calculate the expected loss for each group. For lefties, the probability of suffering an injury leading to a $1,000 loss is 80%.
Therefore, the expected loss for lefties is 80% * $1,000 = $800. For righties, the probability of suffering such an injury is 20%, resulting in an expected loss of 20% * $1,000 = $200.
Since the population contains equal numbers of lefties and righties, the average expected loss is the average of the expected losses for each group, which is ($800 + $200) / 2 = $500.
This means that the actuarially fair premium for full insurance would be $500.
b. Both lefties and righties would buy insurance at the premium calculated in (a) because it is actuarially fair. Lefties would benefit from buying insurance because their expected loss of $800 is higher than the premium of $500, resulting in a net gain.
Righties would also buy insurance since their expected loss of $200 is lower than the premium, ensuring protection against potential losses.
c. However, this assumes that lefties and righties have the same willingness to pay for insurance, which may not be the case in reality. If lefties have a higher willingness to pay for insurance due to their higher risk of injury, they might be willing to pay a higher premium than actuarially fair.
Similarly, righties might find the premium too high compared to their lower expected loss and choose not to buy insurance. This adverse selection problem, where higher-risk individuals are more likely to purchase insurance, can lead to market inefficiencies and potential challenges for insurance companies.
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Hank's Enterprises plans to raise funds for a new project by issuing new 25-year 5% coupon bonds. They believe the new issues will sell for $1,075 per bond. The new issue will incur flotation costs of $75 per bond. The corporation is in the 25% tax bracket. Assuming a par value of $1,000 and semiannual coupons, what is the after-tax cost of new debt?
The cost of new debt is a crucial part of raising funds for a company. Hank's Enterprises wants to generate money for a new project by selling 25-year 5% coupon bonds. In this situation, the bond will sell for $1,075 per bond with flotation costs of $75 per bond, while the corporation is in the 25% tax bracket. In this case, we are to find the after-tax cost of new debt.
Firstly, we will calculate the net proceeds of the bond issue, which is the actual money that the corporation receives by issuing bonds. Net proceeds = Selling price - Flotation cost = $1,075 - $75 = $1,000.
Now, we can find the semi-annual coupon payment, which is calculated as Coupon payment = Coupon rate * Par value / 2 = 5% * $1,000 / 2 = $25.
Further, we can find the annual coupon payment as Annual coupon payment = 2 * Semi-annual coupon payment = 2 * $25 = $50.
Next, we need to calculate the before-tax cost of new debt, which can be found using the formula: Before-tax cost of new debt = Annual coupon payment / Net proceeds = $50 / $1,000 = 5%.
Finally, we can calculate the after-tax cost of new debt using the formula: After-tax cost of new debt = Before-tax cost of new debt * (1 - Tax rate) = 5% * (1 - 25%) = 3.75%.
Thus, the after-tax cost of new debt for Hank's Enterprises will be 3.75%.
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Compare and contrast the revenue recognition criteria for the sale of goods with those for the rendering of services.
For the sale of goods, revenue is typically recognized at the point of transfer of ownership and risks to the buyer, while for the rendering of services, revenue recognition occurs over time as the services are performed and the performance obligations are satisfied.
In the case of the sale of goods, revenue recognition criteria are generally met when control of the goods is transferred to the buyer. This typically occurs at the point of delivery or when the buyer takes legal ownership of the goods.
The risks and rewards associated with ownership are also transferred to the buyer at this point. On the other hand, for the rendering of services, revenue recognition criteria are based on the satisfaction of performance obligations over time.
This means that revenue is recognized as the services are performed, and the customer receives the benefits or the service is consumed. The recognition of revenue over time requires assessing the progress of the service delivery and the fulfillment of performance obligations as specified in the contract.
Thus, while the sale of goods focuses on a specific point in time, the rendering of services involves recognizing revenue over a period of time based on the completion of performance obligations.
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Given the economic conditions we face today, do you believe that it is a good time to develop and implement a global strategy?
Considering the current economic conditions, determining whether it is a favorable time to develop and implement a global strategy requires careful analysis of various factors.
The decision to develop and implement a global strategy depends on several factors. Firstly, an assessment of the global market conditions is crucial. It is essential to evaluate the stability of key markets, trade policies, and geopolitical factors that may impact business operations and expansion.
Secondly, industry trends and opportunities should be considered. Industries that are experiencing growth and demand in international markets may present favorable conditions for a global strategy. Additionally, evaluating the organization's capabilities, including financial strength, technological readiness, and human resources, is vital to determine if the company is well-equipped to enter global markets.
In times of economic uncertainty, there may be both opportunities and challenges for global expansion. Economic downturns can create new market dynamics and potential for cost savings, while also introducing risks and uncertainties. It is important to conduct a comprehensive analysis of the potential benefits and risks associated with a global strategy, considering factors such as market demand, competition, regulatory environments, and operational complexities.
Ultimately, the decision to develop and implement a global strategy should be based on a thorough assessment of the specific industry, market conditions, and organizational capabilities. It is advisable to conduct a detailed feasibility study and risk assessment to ensure that the potential benefits outweigh the challenges and uncertainties in the current economic climate.
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Which of the following process strategies best describes how burritos are made at Chipotle?
a Product focused
b Process focused
c Repetitive focused
d Mass customization
The process strategy that best describes how burritos are made at Chipotle is **Mass customization**.
Chipotle's approach to making burritos involves a combination of standardized processes and customer customization. The main ingredients and preparation methods follow a standardized process, ensuring consistency and efficiency in their operations. However, Chipotle also allows customers to customize their burritos by choosing from a variety of ingredients and toppings. This customization aspect allows customers to tailor their burritos according to their preferences, making it a prime example of mass customization. By offering a range of options while maintaining efficient processes, Chipotle achieves a balance between standardization and customer personalization.
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Reagan currently makes $50,000 in taxable income and pays $10,000 in taxes on her income. Her boss offers her a promotion that would double her taxable income to $100,000 per year.
a. What is Reagan’s current average tax rate on her income? 20%
b. Suppose that at her new level of income ($100,000) she will owe $15,000 in taxes. What will be her new average tax rate? What is the marginal tax rate on this additional income? What percent of her additional income does she get to keep in the form of additional take-home pay? Is this tax code regressive, proportional, or progressive?
c. Explain how in part b (above) the tax is regressive even though she is now paying more taxes than before ($15,000 in taxes as opposed to her old taxes of $10,000).
d. Instead, now suppose that at her new level of income ($100,000) she will owe $20,000 in taxes. What will be her new average tax rate? What is the marginal tax rate on this additional income? What percent of her additional income does she get to keep in the form of additional take-home pay? Is this tax code regressive, proportional, or progressive?
e. Instead, now suppose that at her new level of income ($100,000) she will owe $35,000 in taxes. What will be her new average tax rate? What is the marginal tax rate on this additional income? What percent of her additional income does she get to keep in the form of additional take-home pay? Is this tax code regressive, proportional, or progressive?
f. Instead, now suppose that at her new level of income ($100,000) she will owe $60,000 in taxes. What will be her new average tax rate? What is the marginal tax rate on this additional income? What percent of her additional income does she get to keep in the form of additional take-home pay? Is this tax code regressive, proportional, or progressive? Under this final case, would you suggest she take the promotion if it required additional responsibilities and longer work hours?
Reagan's current average tax rate on her income is 20%. This is calculated by dividing her total taxes paid ($10,000) by her taxable income ($50,000).
If Reagan's income increases to $100,000 and she owes $15,000 in taxes, her new average tax rate would be 15%. This is calculated by dividing her total taxes paid ($15,000) by her new taxable income ($100,000).
The marginal tax rate on the additional income would be 30%, as it represents the rate at which the additional income is taxed. Reagan gets to keep 70% of her additional income in the form of additional take-home pay. This tax code is progressive, as the tax rate increases as income increases.
Even though Reagan is now paying more taxes ($15,000) compared to before ($10,000), the tax is considered regressive because the average tax rate decreases as her income increases. In this case, her average tax rate decreases from 20% to 15%, indicating a smaller proportion of her income is being taxed as she earns more.
If Reagan owes $20,000 in taxes on her new income of $100,000, her new average tax rate would be 20%. The marginal tax rate on the additional income would be 40%, as it represents the rate at which the additional income is taxed.
Reagan gets to keep 60% of her additional income in the form of additional take-home pay. This tax code remains progressive as the tax rate increases with higher income.
If Reagan owes $35,000 in taxes on her new income of $100,000, her new average tax rate would be 35%. The marginal tax rate on the additional income would still be 40%, as it represents the rate at which the additional income is taxed. Reagan gets to keep 60% of her additional income in the form of additional take-home pay. This tax code remains progressive as the tax rate increases with higher income.
If Reagan owes $60,000 in taxes on her new income of $100,000, her new average tax rate would be 60%. The marginal tax rate on the additional income would also be 60%, as it represents the rate at which the additional income is taxed.
In this case, Reagan does not get to keep any of her additional income in the form of additional take-home pay. This tax code can be considered progressive to a certain point, but at higher income levels, it becomes more burdensome and may discourage individuals from seeking higher-paying positions. Considering the final case where Reagan would owe $60,000 in taxes on her new income, it would depend on her personal circumstances whether she should take the promotion.
While the higher income may be appealing, the high tax burden and the lack of additional take-home pay may offset the benefits of the promotion, especially if it requires additional responsibilities and longer work hours.
Each individual's decision would depend on their priorities, financial goals, and willingness to accept the trade-offs involved.
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Pneumatics Engineering purchased a machine that had a first cost of $40,000, an expected useful life of 8 years, a recovery period of 10 years, and a salvage value of $10,000. The operating cost of the machine is expected to be $15,000 per year. The inflation rate is 6% per year and the company's MARR is 11% per year. Determine (a) the depreciation charge for year 3, (b) the present worth of the third-year depreciation charge in year 0, the time of asset purchase, and (c) the book value for year 3 according to the straight line method. 5. Equipment for immersion cooling of electronic components has an installed value of $182,000 with an estimated trade-in value of $40,000 after 15 years. For years 2 and 10, use DDB book depreciation to determine (a) the depreciation charge and (b) the book value.
(a) The depreciation charge for year 3 would also be $3,000. (b) The present worth of the third-year depreciation charge in year 0 is approximately $2,221.53. (c) The book value for year 3 according to the straight-line method is $31,000. (a) Depreciation Charge for year 2 = $24,266.67. (b) Book Value for year 2 = $157,733.33
To calculate the answers, we'll address each part of the question separately.
(a) Depreciation charge for year 3:
Since the machine's recovery period is 10 years and it has an expected useful life of 8 years, we can use the straight-line depreciation method to determine the annual depreciation charge.
The depreciation charge per year can be calculated as:
Depreciation Charge = (First Cost - Salvage Value) / Recovery Period
Depreciation Charge = ($40,000 - $10,000) / 10 = $3,000 per year
Therefore, the depreciation charge for year 3 would also be $3,000.
(b) Present worth of the third-year depreciation charge:
To calculate the present worth of the third-year depreciation charge in year 0, we need to discount it back to the present value using the company's MARR (Minimum Acceptable Rate of Return) of 11% per year. The present worth can be calculated as:
[tex]Present Worth = \frac{Depreciation charge}{(1+MARR)^{Number of Years} }[/tex]
Present Worth = $[tex]\frac{3000}{(1+0.11)^{3} }[/tex] ≈ $2,221.53
Therefore, the present worth of the third-year depreciation charge in year 0 is approximately $2,221.53.
(c) Book value for year 3:
In the straight-line depreciation method, the book value of the asset is calculated as the difference between the first cost and the accumulated depreciation.
Since the machine has an expected useful life of 8 years, the accumulated depreciation for year 3 can be calculated as:
Accumulated Depreciation = Depreciation Charge × Number of Years
Accumulated Depreciation = $3,000 × 3 = $9,000
Book Value = First Cost - Accumulated Depreciation
Book Value = $40,000 - $9,000 = $31,000
Therefore, the book value for year 3 according to the straight-line method is $31,000.
Moving on to the second part of the question:
(a) Depreciation charge for year 2:
For years 2 and 10, we'll use the Double Declining Balance (DDB) depreciation method. The DDB depreciation charge for a given year is calculated as a percentage (twice the straight-line rate) of the book value at the beginning of that year. The DDB depreciation rate can be calculated as:
DDB Depreciation Rate = (1 / Recovery Period) × 2
DDB Depreciation Rate = (1 / 15) × 2 ≈ 0.1333
Depreciation Charge = DDB Depreciation Rate × Book Value
Depreciation Charge for year 2 = 0.1333 × $182,000 ≈ $24,266.67
(b) Book value for year 2:
Book Value = Beginning Book Value - Depreciation Charge
Book Value for year 2 = $182,000 - $24,266.67 ≈ $157,733.33
Similarly, for year 10:
(a) Depreciation charge for year 10:
Depreciation Charge for year 10 = 0.1333 × Book Value for year 9
Depreciation Charge for year 10 = 0.1333 × Book Value for year 9 = 0.1333 × ($182,000 - Depreciation Charge for year 9)
(b) Book value for year 10:
Book Value for year 10 = Beginning Book Value - Depreciation Charge for year 10
Please note that the value of Depreciation Charge for year 9 will need to be determined before calculating the depreciation charge and book value for year 10.
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Dan worked for Hairy Jakes’ Pancake Hut in Kew as a delivery driver. He mostly delivered wedding cakes to venues and occasionally transported other food to venues when Hairy Jakes’ Pancake Hut catered for an event. Dan owns his own truck and is responsible for the maintenance and running costs of the truck. He also has insurance over the truck. Dan and Hairy Jakes’ Pancake Hut has never entered into a written agreement. Their working relationship came about when Dan used to work for Hairy Jakes’ Pancake Hut as a casual server who now and then took out deliveries to clients. Dan mentioned to his manager in 2019 that he considered purchasing his own cold storage truck and asked whether he could count on Hairy Jakes’ Pancake Hut’s continued support if he did. His manager at the time verbally agreed. Dan resigned as a server and took up deliveries full time. In 2019, Dan worked exclusively for Hairy Jakes’ Pancake Hut. However, during the Covid-19 lockdowns, the wedding cake and catering business virtually came to a halt and Dan received almost no delivery orders from Hairy Jakes’ Pancake Hut. Dan started making food deliveries for Deliveroo and others to keep food on the table. However, he prefers the regular hours and consistency of working with Hairy Jakes’ Pancake Hut and always intended to mainly work for them once things returned to normal. Hairy Jakes’ Pancake Hut is back in the wedding cake and catering market and doing well. However, the Kew branch has a new manager, and it is now using another provider for deliveries. You are the HR officer responsible for the Kew branch of Hairy Jakes’ Pancake Hut. Dan has sent you an email claiming that he is owed backpay for superannuation and leave, not paid to him since 2019 until his dismissal in 2022. Consider whether Hairy Jakes’ Pancake Hut is liable for these payments.
The liability of Hairy Jakes' Pancake Hut for backpay for superannuation and leave depends on the nature of Dan's employment relationship with the company and the applicable employment laws.
While Dan worked as a delivery driver for the company and had a verbal agreement regarding continued support, the absence of a written agreement and the fact that he owned his own truck could complicate the determination of his employment status.
In assessing whether Hairy Jakes' Pancake Hut is liable for backpay, the employment relationship between Dan and the company needs to be examined.
The absence of a written agreement and the fact that Dan owned his own truck suggest a level of independence and autonomy that aligns more closely with an independent contractor arrangement. As an independent contractor, Dan would be responsible for his own superannuation and leave entitlements.
However, other factors should be considered, such as the level of control exerted by Hairy Jakes' Pancake Hut over Dan's work and the extent to which he was integrated into the company's operations.
If it can be established that Dan was an employee, as defined by employment laws, then Hairy Jakes' Pancake Hut would likely be responsible for providing superannuation contributions and granting appropriate leave entitlements.
To determine the liability, it is recommended that a detailed examination of Dan's working arrangements, including his level of control, integration into the company, and the overall nature of the relationship, be conducted.
This would involve assessing relevant employment legislation and case law to determine the employment status and obligations of Hairy Jakes' Pancake Hut towards Dan regarding superannuation and leave entitlements.
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Discuss your objectives as a Price Taker in the dealing session.
Where applicable, describe specific transactions that are to be
carried out in the dealing session.
To buy or sell assets at the prevailing market price. As a Price Taker, I have no control over the market price. I can only buy or sell assets at the price that is currently being offered.
My objectives in the dealing session are therefore to:
Get the best possible price for the assets I am buying or selling.
Minimize my risk of loss.
Achieve my overall investment objectives.
For example, if I am buying an asset, I would want to get the lowest possible price. I would also want to make sure that the asset is a good investment and that I am not taking on too much risk.
If I am selling an asset, I would want to get the highest possible price. I would also want to make sure that I am not selling the asset for less than its fair value.
In both cases, my goal is to achieve the best possible outcome for myself as a Price Taker.
Here are some specific transactions that I might carry out in the dealing session:
I might buy a certain number of shares of a particular stock at the current market price.
I might sell a certain number of bonds at the current market price.
I might enter into a forward contract to buy or sell a certain asset at a specified future date and price.
The specific transactions that I carry out will depend on my individual investment objectives and the prevailing market conditions.
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If all applicants for a job can do the job successfully, we say the equals 100 percent.
a. Selection ratio
b. Base rate
c. Validity
d. Utility rate.
The correct phrase to use to describe a situation in which all job candidates are capable of performing the job satisfactorily is "b. Base rate."
The base rate is the percentage of a population that has the skills or knowledge required to successfully do a certain task or employment. In this case, if all applicants are successful in performing the work, it indicates that the base rate is 100%, showing that every applicant pool member satisfies the requirements and is qualified to do the job.The number of job vacancies to applicants is referred to as the selection ratio (a), which represents the degree of competitiveness for the post. Validity (c) is concerned with the reliability and potency of a choice.
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Consider the exchange rate between the Moroccan dirham and the euro. Suppose the Moroccan government and the Eurozone governments agree to fix the exchange rate (ER) at 2.5 dirham per euro, as shown by the grey line on the following graph. Refer to the following graph when answering the questions that follow. At the official exchange rate of 2.5 dirham per euro, the euro is, the Moroccan dirham is At the official dirham price of euros, there is a of reign exchange market. Suppose the governments of the Eurozone and Morocco reevaluate their currencies so that their official exchange rate is 1 dirham This action results in of the euro. At the official exchange rate of 2.5 dirham per euro, the euro is , and the Moroccan dirham is , which means hat Moroccans pay for European exports than they would with a free-floating exchange rate. At the official dirham price of euros, there is a of euros in the foreign exchange market. At the official exchange rate of 2.5 dirham per euro, the euro is , and the Moroccan dirham is , which means that Moroccans pay for European exports than they would with a free-floating exchange rate. At the official dirhar euros, there is a of euros in the foreign exchange market. At the official dirham price of euros, there is a of euros in the foreign exchange market. Suppose the governments of the Eurozone anı evaluate their currencies so that their official exchange rate is now 1 dirham per 1 euro. This action results in of th At the official dirham | here is a of euros in the foreign exchange market. Suppose the governm rhis action results in sone and Morocco reevaluate their currencies so that their official exchange rate is now 1 dirham per 1 euro. of the euro.
At the official exchange rate of 2.5 dirham per euro, the euro is overvalued, and the Moroccan dirham is undervalued, which means that Moroccans pay more for European exports than they would with a free-floating exchange rate. At the official dirham price of euros, there is a surplus of euros in the foreign exchange market.
Suppose the governments of the Eurozone and Morocco reevaluate their currencies so that their official exchange rate is 1 dirham per 1 euro. This action results in a decrease in the value of the euro as a consequence of the demand for it decreasing and the supply of it increasing, which is caused by the revaluation of the currencies.
This change results in the euro being undervalued, meaning that the Moroccans will pay less for European exports than they would at the official exchange rate of 2.5 dirham per euro.At the official dirham price of euros, there is now a shortage of euros in the foreign exchange market as the Moroccans' demand for euros has increased.
This increase in demand is caused by the decrease in the value of the euro and the subsequent decrease in the price of the European exports for Moroccans. As a consequence of the shortage, the value of the euro will increase in the foreign exchange market.
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1) On the Schedule of Cost of Goods Sold, the final Cost of Goods Sold figure represents:
Group of answer choices
the amount of cost of goods completed during the current year whether they were started before or during the current year.
the amount of cost charged to Work in Process during the period.
the amount of cost transferred from Finished Goods to Cost of Goods Sold during the period adjusted for any under/over-applied overhead.
the amount of cost placed into production during the period.
None of these answers
2) The contribution margin ratio can be calculated as:
1 - (Gross Margin/Sales).
(Total traceable fixed costs)/Sales.
1 - (Sales - Fixed Expenses)/Sales.
(Contribution Margin/Sales).
None of these answers
1) On the Schedule of Cost of Goods Sold, the final Cost of Goods Sold figure represents the amount of cost transferred from Finished Goods to Cost of Goods Sold during the period adjusted for any under/over-applied overhead.
2) The contribution margin ratio can be calculated as (Contribution Margin/Sales).
1) On the Schedule of Cost of Goods Sold, the final Cost of Goods Sold figure represents the amount of cost transferred from Finished Goods to Cost of Goods Sold during the period adjusted for any under/over-applied overhead. This figure reflects the cost of goods that have been completed and are ready to be sold during the current year, regardless of whether they were started before or during the current year.
2) The contribution margin ratio is a measure of profitability and can be calculated as the Contribution Margin divided by Sales. The Contribution Margin is calculated by subtracting the variable costs from the sales revenue. It represents the amount of revenue available to cover fixed costs and contribute towards profits. By calculating the contribution margin ratio, a company can assess the proportion of each sales dollar that is available to cover fixed costs and generate profits.
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The consumer market consists of 80 million households, but there are fewer in the B2B market of an industry like auto manufacturing.
The consumer market consists of around 80 million households, whereas there are fewer in the B2B market of an industry like auto manufacturing. The terms consumer market and B2B market both denote different types of markets in the business world.
In the consumer market, the final consumers of goods and services are individuals and households. Whereas, in the B2B market, the buyers of goods and services are businesses themselves.However, the consumer market is larger than the B2B market, as there are more households than businesses in most industries. For instance, the auto manufacturing industry requires a few businesses that buy components and services from other companies and further sell them to end consumers, who are individuals or households. The car manufacturers, in this case, are businesses selling to final consumers or households who form the consumer market. Thus, the consumer market consists of more individuals and households than in the B2B market of the auto manufacturing industry.
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Nipigon Manufacturing has a cost of debt of 7 %, a cost of equity of 12%, and a cost of preferred stock of 9%. Nipigon currently has 130,000 shares of common stock outstanding at a market price of $25 per share. There are 48,000 shares of preferred stock outstanding at a market price of $38 a share. The bond issue has a face value of $950,000 and a market quote of 104. The company’s tax rate is 35%.
Required:
Calculate the weighted average cost of capital for Nipigon. You must show and clearly label all calculations to receive full marks. You can either enter your calculations in the space provided
The weighted average cost of capital (WACC) for Nipigon Manufacturing is 10.2812%.
To calculate the weighted average cost of capital (WACC) for Nipigon Manufacturing, to determine the weights of each component of capital (debt, equity, and preferred stock) and multiply them by their respective costs.
Calculate the weight of debt:
The weight of debt is the proportion of the total capital structure represented by debt.
Bond market value = Bond face value ×Market quote
Bond market value = $950,000 ×104%
Bond market value = $988,000
Total market value of capital = Bond market value + Market value of equity + Market value of preferred stock
Total market value of capital = $988,000 + ($25 × 130,000) + ($38 ×48,000)
Total market value of capital = $988,000 + $3,250,000 + $1,824,000
Total market value of capital = $6,062,000
Weight of debt = Bond market value / Total market value of capital
Weight of debt = $988,000 / $6,062,000
Weight of debt = 0.1626 or 16.26%
Calculate the weight of equity:
The weight of equity is the proportion of the total capital structure represented by equity.
Weight of equity = (Market value of equity) / (Total market value of capital)
Weight of equity = ($25 × 130,000) / $6,062,000
Weight of equity = $3,250,000 / $6,062,000
Weight of equity = 0.5358 or 53.58%
Calculate the weight of preferred stock:
The weight of preferred stock is the proportion of the total capital structure represented by preferred stock.
Weight of preferred stock = (Market value of preferred stock) / (Total market value of capital)
Weight of preferred stock = ($38 × 48,000) / $6,062,000
Weight of preferred stock = $1,824,000 / $6,062,000
Weight of preferred stock = 0.3016 or 30.16%
Calculate the weighted average cost of capital (WACC):
WACC = (Weight of debt × Cost of debt) + (Weight of equity × Cost of equity) + (Weight of preferred stock × Cost of preferred stock)
WACC = (0.1626 × 7%) + (0.5358 × 12%) + (0.3016 × 9%)
WACC = 1.1372% + 6.4296% + 2.7144%
WACC = 10.2812%
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when considering the basic operations of the macroeconomy, keynesian economists argue that:
Keynesian economists argue that the government should play an active role in the economy to stabilize the business cycle and promote full employment.
Keynesian economists believe that the economy does not always self-correct and that government intervention is sometimes necessary to prevent recessions and depressions.
They argue that during a recession, businesses may be reluctant to invest or hire new workers because they are uncertain about the future demand for their products.
This can lead to a vicious cycle of declining demand, output, and employment.
Keynesian economists believe that the government can help to break this cycle by increasing spending, which will boost demand and lead to increased output and employment.
They argue that the government can afford to run a budget deficit during a recession, because the increased economic activity will generate more tax revenue.
Keynesian economics has been influential in shaping government economic policy since the Great Depression. However, it has also been criticized by some economists who believe that it can lead to inflation and government debt.
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Complete the balance sheet and sales information using the following financial data: Total assets turnover: 1.2x Days sales outstanding: 73.0 daysa Inventory turnover ratio: 3.75% Fixed assets turnover: 2.5x Current ratio: 2.0X Gross profit margin on sales: (Sales - Cost of goods sold)/Sales aCalculation is based on a 365-day year. = 15% Do not round intermediate calculations. Round your answers to the nearest dollar. Balance Sheet Cash Accounts receivable 36,000 Inventories Current liabilities Long-term debt Common stock Retained earnings Total liabilities and equity Cost of goods sold Fixed assets 60,000 Total assets $240,000 $ Sales $ $
The complete balance sheet is -Accounts receivable $91,027, Inventories $65,280, Current liabilities $78,154, , Total liabilities and equity $240,000, Cost of goods sold $244,800, Fixed assets $115,200, Total assets $240,000, and Sales $288,000.
To complete the balance sheet and sales information, we'll use the given financial data and calculate the missing values. Let's start with the calculations:
Total assets turnover = Sales / Total assets
1.2 = Sales / $240,000
Sales = $288,000
Days sales outstanding = Accounts receivable / (Sales / 365)
73.0 = Accounts receivable / ($288,000 / 365)
Accounts receivable = $91,027.08 (rounded to nearest dollar: $91,027)
Inventory turnover ratio = Cost of goods sold / Inventories
3.75 = Cost of goods sold / Inventories
Cost of goods sold = 3.75 * Inventories
Fixed assets turnover = Sales / Fixed assets
2.5 = $288,000 / Fixed assets
Fixed assets = $115,200
Current ratio = Current assets / Current liabilities
2.0 = (Cash + Accounts receivable + Inventories) / Current liabilities
Now, we can complete the balance sheet and sales information:
Balance Sheet:
Cash $?
Accounts receivable $91,027
Inventories $?
Current liabilities $?
Long-term debt $?
Common stock $?
Retained earnings $?
Total liabilities and equity $?
Cost of goods sold $?
Fixed assets $115,200
Total assets $240,000
Sales $288,000
Let's continue calculating the missing values:
Cost of goods sold = Gross profit margin on sales * Sales
Cost of goods sold = 0.85 * $288,000 (15% gross profit margin)
Cost of goods sold = $244,800
Inventories = Cost of goods sold / Inventory turnover ratio
Inventories = $244,800 / 3.75
Inventories = $65,280
Current liabilities = (Cash + Accounts receivable + Inventories) / Current ratio
Current liabilities = ($91,027 + $65,280) / 2
Current liabilities = $78,153.50 (rounded to nearest dollar: $78,154)
Total liabilities and equity = Total assets
Total liabilities and equity = $240,000
Now we can complete the balance sheet and sales information:
Balance Sheet:Cash $?
Accounts receivable $91,027
Inventories $65,280
Current liabilities $78,154
Long-term debt $?
Common stock $?
Retained earnings $?
Total liabilities and equity $240,000
Cost of goods sold $244,800
Fixed assets $115,200
Total assets $240,000
Sales $288,000
Please note that the missing values for Cash, Long-term debt, Common stock, and Retained earnings are not provided in the given financial data, so you would need additional information or assumptions to complete those entries.
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A supplier produces a product at per unit cost $30 and sells it to a retailer at a wholesale price $40 in the return contract. The retailer decides how many units to order (q) before the sales season. The demand of customers is normally distributed with a mean of 1000 and a standard deviation of 125. The retail price is $150 and each unit of leftover inventory has a salvage value of $0. To achieve the first-best outcomes, what is the optimal return price r (per unit of
unsold product)?
The optimal return price (r) cannot be determined for achieving the first-best outcomes in this case.
In order to determine the optimal return price (r), we need to maximize the expected profit. However, when applying the calculations and equations based on the given information, we find that there is no specific value of r that maximizes the expected profit. This means that it is not possible to determine an optimal return price for achieving the first-best outcomes in this scenario. It's important to consider that achieving the first-best outcome is dependent on various assumptions and conditions, and in practical situations, alternative strategies may need to be explored to maximize profit or reach optimal outcomes.
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The following information was available for Doumbia Company at December 31, 2016: beginning inventory $90,000; ending inventory $70,000; cost of goods sold $968,000; and sales $1,360,000. Doumbia's inventory tumover in 2016 was a. 10.8 times. b. 12.1 times. c. 13.8 times. d. 17.0 times. 23) Martinez Company had beginning inventory of $60,000, ending inventory of $90,000, cost of goods sold of $600,000, and sales of $960,000. Martinez's days in inventory is: a 28.5 days. b. 54.5 days. c. 45.6 days. d. 36.5 days.
Martinez Company's days in inventory is 45.6 days.
To calculate the inventory turnover, we use the formula:
Inventory Turnover = Cost of Goods Sold / Average Inventory
For the first scenario:
Cost of Goods Sold = $968,000
Average Inventory = (Beginning Inventory + Ending Inventory) / 2
= ($90,000 + $70,000) / 2
= $160,000 / 2
= $80,000
Inventory Turnover = $968,000 / $80,000
= 12.1 times
Therefore, the inventory turnover for Doumbia Company in 2016 was 12.1 times (option b).
For the second scenario:
Cost of Goods Sold = $600,000
Average Inventory = (Beginning Inventory + Ending Inventory) / 2
= ($60,000 + $90,000) / 2
= $150,000 / 2
= $75,000
Inventory Turnover = $600,000 / $75,000
= 8 times
Days in Inventory = 365 days / Inventory Turnover
= 365 days / 8
Days in Inventory = 45.6 days (option c)
Therefore, Martinez Company's days in inventory is 45.6 days.
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It is now 1st of January 2022. You plan to make 11 deposit of $100 each, on every 3
months, with the first payment being made today. If the bank pays a nominal interest
rate of 12 percent, but uses quarterly compounding, how much will be in your
account after 10 years?
If you make 11 deposits of $100 each, with payments made every 3 months, your account balance after 10 years will be approximately $2,088.52.
To calculate the final account balance, we can use the formula for the future value of a series of equal payments. In this case, you will be making 11 deposits of $100 each, with payments made every 3 months. The nominal interest rate is 12 percent, which is equivalent to a quarterly interest rate of 3 percent.
Using the formula for future value of a series of payments:
FV = P * ((1 + r)^n - 1) / r
where FV is the future value, P is the payment amount, r is the interest rate per period, and n is the number of periods.
Plugging in the values, we have:
P = $100
r = 0.03 (3 percent)
n = 11 * 4 (11 deposits over 10 years with quarterly compounding)
FV = $100 * ((1 + 0.03)^(11 * 4) - 1) / 0.03 ≈ $2,088.52
Therefore, after 10 years, your account balance will be approximately $2,088.52.
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Determine the interest expense on the following notes:
a. $2,000 at 6% for 90 days.
b. $900 at 9% for 5 months.
c. $3,000 at 8% for 60 days.
d. $1,600 at 7% for 6 months.
The interest expenses for the given notes are approximately: a. $29.32
b. $33.75 c. $39.45 d. $56.00
To determine the interest expense on the given notes, we can use the formula:
Interest = Principal x Interest Rate x Time
a. $2,000 at 6% for 90 days:
Interest = $2,000 x 0.06 x (90/365) ≈ $29.32
b. $900 at 9% for 5 months:
Interest = $900 x 0.09 x (5/12) ≈ $33.75
c. $3,000 at 8% for 60 days:
Interest = $3,000 x 0.08 x (60/365) ≈ $39.45
d. $1,600 at 7% for 6 months:
Interest = $1,600 x 0.07 x (6/12) = $56.00
Therefore, the interest expenses for the given notes are approximately:
a. $29.32
b. $33.75
c. $39.45
d. $56.00
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The market for used phones is perfectly competitive without externalities. Market demand is Q=311−2P and Market Supply is P=2Q+16. Suppose the Marginal Cost (MC) increases by $10 at every quantity. What is market Producer Surplus after this increase in MC? (Note: this question is not asking for the change in PS, just the PS after the increase in MWTP) Enter a number only, drop the $ sign.
The market producer surplus after the increase in margin cost (MC), we need to compare the new supply curve with the original market equilibrium.
Given:
Market demand: Q = 311 - 2P
Market supply: P = 2Q + 16
Original MC: No specific information is provided for the original MC.
Since the original MC is
calculate the market producer surplus after the increase in MC. The producer surplus depends on the relationship between the MC and the original supply curve.
If we are provided with the original MC or further information, we can calculate the market producer surplus after the increase in MC.
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Binder Corp. has invested in new machinery at a cost of $1,350,000. This investment is expected to produce cash flows of $620,000,$705,410,$813,500, and $912,350 over the next four years. What is the payback period for this project? (Round your answer to two decimal places.) Which statement is correct?
a. After 3 years, the initial investment has not been paid back.
b. The project should be rejected if the required payback period is 2.6 years.
c. The project should be accepted if the required payback period is 2.4 years.
d. The project should be rejected if the required payback period is 2.4 years.
The project should be accepted if the required payback period is 2.4 years. The correct statement is c.
To calculate the payback period for the project, we need to determine the time it takes for the cumulative cash flows to equal or exceed the initial investment.
Year 1: $620,000
Year 2: $705,410
Year 3: $813,500
Year 4: $912,350
To find the payback period, we start adding the cash flows until we reach or exceed the initial investment of $1,350,000.
Year 1: $620,000
Year 2: $620,000 + $705,410 = $1,325,410
Year 3: $1,325,410 + $813,500 = $2,138,910
Year 4: $2,138,910 + $912,350 = $3,051,260
The payback period is the time it takes to reach or exceed the initial investment. In this case, the payback period is 3 years.
Now let's evaluate the statements:
a. After 3 years, the initial investment has not been paid back. (False) - The initial investment has been paid back within 3 years.
b. The project should be rejected if the required payback period is 2.6 years. (False) - The payback period of 3 years is longer than the required period of 2.6 years.
c. The project should be accepted if the required payback period is 2.4 years. (True) - The payback period of 3 years is longer than the required period of 2.4 years, so the project should be accepted.
d. The project should be rejected if the required payback period is 2.4 years. (False) - The payback period of 3 years is longer than the required period of 2.4 years.
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which of the following is not a required procedure for filing a voluntary bankruptcy petition?
"Attending mandatory credit counseling is not a required procedure for filing a voluntary bankruptcy petition. when filing for voluntary bankruptcy, individuals are generally required to complete several procedures.
These include preparing and filing the bankruptcy petition, providing financial information, attending a meeting of creditors, and completing a debtor education course. However, mandatory credit counseling is not a prerequisite for filing a voluntary bankruptcy petition. While credit counseling is often a helpful step in managing debt, it is not a mandatory requirement for initiating the bankruptcy process.
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Similar to public goods in that you can't exclude anyone from using it, only its quantity decreases when more people consume it.
a. All goods and services
b. Private goods
c. Common resources
d. Average Fixed Cost (AFC)
Common resources is the right response. In that they are non-excludable, or that no one may be forced to use them, common resources are comparable to public goods.
Common resources, however, are rivalrous in nature as opposed to public goods, where consumption does not reduce their supply (non-rivalrous). This implies that as the amount of a shared resource is consumed by more people, it becomes less available to others. Ocean fish, clean air, and water from a communal well are a few examples of common resources. Option a, "All goods and services," is untrue because it encompasses both public and private goods as well as shared resources. Option b. Private goods are rivalrous and excludable, which means they can be withheld from people who do not pay for them. One person's intake reduces the amount that is available to others. Average Fixed Cost (AFC), option d, has no connection to the idea in the question. AFC, which has nothing to do with common resources or public goods, stands for the fixed cost per unit of output in economics.
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You arrange a mortgage from the Pinder Bank of Australia. The amount you borrow is $780,000 with payments required on a monthly basis over the next 20 years with the first payment required one month from today. The interest rate quoted by the bank is 12% p.a. compounding monthly. Which of the following is closest to the principal owing immediately after you make your first payment?
O a. $8,588.47
O b. $869,536.95
O c. $779,584.85
O d. Need more information to answer the question
O e. $779,211.53
The principal owing immediately after the first payment is $771,466.73. Hence, the correct option is (e) $779,211.53.
The principal amount of $780,000 is borrowed with an annual interest rate of 12% that is compounded monthly, which means 12% is divided by 12 to get the monthly interest rate of 1%.
Principal amount borrowed = $780,000
Interest rate per year = 12%
Compounding frequency = Monthly
The time period = 20 years
We can first calculate the monthly interest rate;
R = (1 + i)^(1/n) - 1
Where,
R is the monthly interest rate
i is the annual interest rate divided by 100
n is the compounding frequency of the interest= (1 + 0.12/12)^(1/12) - 1= 0.0099 or 0.99%
The loan is payable over 20 years, which means there are a total of 20 x 12 = 240 monthly payments. Each payment can be calculated using the formula:
P = (R*PV)/(1 - (1+R)^(-n))
Where,
P is the monthly payment
PV is the present value of the loan
R is the monthly interest rate
n is the total number of payments
For the first payment, we have to calculate the remaining balance after one month;
PV = Principal amount borrowed = $780,000
n = Total number of payments = 240
R = Monthly interest rate = 0.0099
P = (0.0099*780000)/(1 - (1+0.0099)^(-240))= $7,908.28
The first payment is $7,908.28. Now we have to find the principal amount that will be outstanding after this payment. We can do this using the formula to calculate the present value of an annuity:
PVA = (P*((1+R)^n - 1))/R
Where,
PVA is the present value of an annuity
P is the amount of each payment
R is the monthly interest rate
n is the total number of payments remaining after the first payment
PVA = (7,908.28*((1+0.0099)^(240-1) - 1))/0.0099= $771,466.73
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