The rational rule for society is that society should produce another unit of a good if the marginal social benefit exceeds the marginal social cost. The option is B.
Marginal social benefit (MSB) is the total gain in satisfaction or utility from an additional unit of a good or service that is enjoyed by the entire society.
Marginal social cost (MSC) is the total cost incurred by society to produce an additional unit of a good or service.
The rule is such that if MSB > MSC, society should produce another unit of good since it will produce an overall net gain to society.
The rationale is to maximize the benefits to society as a whole rather than focusing only on the private benefits or costs.
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A particular company breaks even after selling 123.076923076923 units. If the company sells 583.076923076923 units, they make $179400.000000000029
a. What is the profit function?
b. What is the contribution margin?
c. If the per unit costs are $50, what is the price of the good?
d. Should these costs change, at what point would the firm consider shutting down?
a. The profit function is given by the equation:
y = (p - 50)(583.076923076923) - 179400
where p is the price per unit.
b. The contribution margin is the selling price of the good less the variable cost per unit.
Using the values from the problem, the contribution margin is:
CM = p - 50
c. The price of the good can be found by solving for p in the profit function equation using the given information.
When the company sells 123.076923076923 units, they break even,
So:
0 = (p - 50)(123.076923076923) - 179400
Solving for p, we get:
p - 50 = 1457.14p = 1507.14
The price of the good is 1507.14 when the per unit costs are 50.
d. If the per unit costs were to increase such that the variable cost per unit was greater than the selling price, then the firm would consider shutting down.
We can find this point by setting the profit function equal to zero and solving for the break-even point where the selling price equals the variable cost:
0 = (p - 50)x - 179400p = 50 + 179400/x
When p = 50 + 179400/x is equal to x, then the company is breaking even.
Solving for x, we get:
x = 580.92
If the per unit costs were to increase to more than 580.92, the firm would consider shutting down.
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Suppose the following: - At time t=0, output exceeds the natural level of output. - At time t=1, output is below the natural level of output. - During that period, there are no changes in nominal money M, government spending G, taxes T, labor force L, firms' markup m and the catchall variable z. Using the AS-AD model and AS-AD diagram: a Plot the AS-AD curves at t=0. Be sure to label properly these curves and all the relevant variables. You can label the curves as AS 0
and AD 0
(1pt) respectively. b In a new graph, plot the AS-AD curves both at t=0 and at t=1. ( 1 pt) c In the same graph of part b), Thow the adjustment of output and the price level over time. You can assume that the economy returns to the natural level of output at t=2(1pt) d Explain the transition from the short run (t=0) to the medium run (t=2). (2 pt)
As a result, in the medium run (t=2), the output level remains at the natural level of output and the price level also stabilizes at the initial level (P0). Thus, the economy returns to its equilibrium state in the medium run.
a) Plot the AS-AD curves at t=0. Be sure to label properly these curves and all the relevant variables. You can label the curves as AS 0 and AD 0 respectively.
At time t=0, output exceeds the natural level of output.
As per the given information, during that period, there are no changes in nominal money M, government spending G, taxes T, labor force L, firms' markup m, and the catchall variable z. Hence, there will be no change in the natural level of output.
We can plot the AS-AD diagram as follows:
b) In a new graph, plot the AS-AD curves both at t=0 and at t=1. At time t=1, output is below the natural level of output.
In this case, both the AS curve and AD curve shift towards leftward direction.
The new AS-AD diagram is as follows:
c)
In the same graph of part b), show the adjustment of output and the price level over time. You can assume that the economy returns to the natural level of output at t=2
Assuming that the economy returns to the natural level of output at t=2, the adjustment of output and price level over time can be shown in the graph as follows:
We can observe from the graph that initially, the output level is higher than the natural level of output (Y1 > Yn). As a result, the price level increases from P0 to P1.
However, due to the decrease in output at t=1, the price level also decreases from P1 to P2. Over time, the economy moves towards the natural level of output (Yn).
As a result, the price level decreases from P2 to P0d)
Explain the transition from the short run (t=0) to the medium run (t=2).Initially, at t=0, the output level is higher than the natural level of output.
Due to the higher output level, the price level also increases.
However, at t=1, the output level decreases and hence, the price level also decreases. Over time, the economy moves towards the natural level of output (Yn).
As a result, in the medium run (t=2), the output level remains at the natural level of output and the price level also stabilizes at the initial level (P0).
Thus, the economy returns to its equilibrium state in the medium run.
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advertising a cheaper brand but only making a more expensive one available to customers
Which of the following would be classified as bait-and-switch advertising?
The following example would be classified as bait-and-switch advertising: Advertising a cheaper brand but only making a more expensive one available to customers.
What is bait-and-switch advertising?Bait-and-switch advertising is a marketing tactic that involves advertising an item at a low price to lure customers into a store or online shopping website and then persuading them to purchase a more costly item. The original item is frequently either unavailable or of significantly inferior quality to the advertised product. This advertising strategy is considered unethical and illegal in many countries. Companies that use bait-and-switch advertising may be fined or face legal action against them.
Bait and switch advertising is a deceptive tactic that tricks customers into purchasing more expensive products.
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Refer to Figure 9-3. What might be one of the reasons that aggregate demand has shifted from AD0 to AD1?
Question 23 options:
Consumers are facing higher taxes, and as a result have begun buying fewer goods.
The government has increased the amount of spending on infrastructure projects.
Consumers' belief in the economy has increased, and as a result they have begun buying more goods.
Investors have become more optimistic about their profit prospects and therefore output and prices are higher.
AD can increase when consumer spending, government spending, and/or net exports increase. The aggregate demand curve can shift rightward when there is an increase in spending.
In the same vein, there may be several reasons for the shift from AD0 to AD1. One of the reasons that aggregate demand has shifted from AD0 to AD1 is that investors have become more optimistic about their profit prospects and therefore output and prices are higher.
In turn, this generates higher productivity, increases job creation, and creates more competition. Investor confidence is the degree of faith that investors have in the future of the economy. If investors believe that the economy is improving, they are more likely to invest in businesses that would make them more money.
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Department A had 4,000 units in Work in Process that were 80% completed at the beginning of the period at a cost of $6,300. During the period, 31,300 units of direct materials were added at a cost of $65,730, and 32,900 units were completed. At the end of the period, 2,400 units were 35% completed. All materials are added at the beginning of the process. Direct labor was $25,600 and factory overhead was $5,000. The cost of the 2,400 units in process at the end of the period if the first-in, first-out method is used to cost inventories was
a.$5,882
b.$5,461
c.$5,040
d.$6,724
Given, Department A had 4,000 units in Work in Process that were 80% completed at the beginning of the period at a cost of $6,300.
During the period, 31,300 units of direct materials were added at a cost of $65,730, and 32,900 units were completed.
At the end of the period, 2,400 units were 35% completed.
The formula to calculate the cost of goods manufactured is:
Cost of goods manufactured = Direct materials + Direct labor + Factory overhead + Beginning WIP inventory - Ending WIP inventory
We are given the following data:
Direct labor = $25,600
Factory overhead = $5,000
Direct materials = $65,730
Beginning WIP inventory = $6,300
Ending WIP inventory = ?
Cost of goods completed = 32,900 - 4,000 = 28,900
We need to find the cost of 2,400 units that are 35% complete if the first-in, first-out method is used to cost inventories.
The calculation of equivalent units using the FIFO method is given below:
Equivalent units for Direct material = Units completed + Ending WIP inventory × Percentage of completion
= (32,900 + 2,400 × 35%)
= 33,460
Equivalent units for Conversion cost (Direct labor + Factory overhead)
= Units completed + Ending WIP inventory × Percentage of completion
= (32,900 + 2,400 × 35%)
= 33,460
Cost per equivalent unit:
Direct materials = $65,730 / 33,460
= $1.965
Conversion cost = (Direct labor + Factory overhead) / 33,460= ($25,600 + $5,000) / 33,460= $0.915
Therefore, the cost of 2,400 units in process at the end of the period if the first-in, first-out method is used to cost inventories is:
$1.965 × 840 + $0.915 × 840 = $5,461
Therefore, the correct option is (b). $5,461.
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1.Archer Daniels Midland Company is considering buying a new farm that it plans to operate for 10 years. The farm will require an initial investment of $11.80 million. This investment will consist of $2.10 million for land and $9.70 million for trucks and other equipment. The land, all trucks, and all other equipment is expected to be sold at the end of 10 years at a price of $5.20 million, $2.23 million above book value. The farm is expected to produce revenue of $2.09 million each year, and annual cash flow from operations equals $1.98 million. The marginal tax rate is 35 percent, and the appropriate discount rate is 9 percent. Calculate the NPV of this investment.
The answer is , the NPV of this investment is $4.25 million.
What does it entail?We can use the below formula to calculate the Net Present Value (NPV).
[tex]NPV = ∑(Cash Flow / (1 + r)^t ) - Initial Investment[/tex]
Here, Cash Flow = Annual Cash Flow (ACF) x (1 - Marginal Tax Rate (t)).
Cash Flow = ACF x (1 - t)
Cash Flow = $1.98 million x (1 - 35%)
Cash Flow = $1.29 million
The initial investment was $11.80 million.
This investment will consist of $2.10 million for land and $9.70 million for trucks and other equipment.
Initial Investment = $11.80 million
Now, calculate the Sale value of the asset after 10 years.
Sale Value = $5.20 million
The sale value is higher than the book value. The gain will be:
Gain = Sale Value - Book Value
Gain = $2.23 million
The book value of the asset after 10 years will be:
Book Value = Sale Value - Gain
Book Value = $5.20 million - $2.23 million
Book Value = $2.97 million
Cash Flows are constant and occur at the end of each year.
Hence we can use the perpetuity formula for calculating the present value of the cash flows.
PV = Cash Flow / Discount Rate
PV = $1.29 million / 9%PV = $14.33 million
Now, calculate the NPV of the investment:
[tex]NPV = ∑(Cash Flow / (1 + r)^t ) - Initial Investment[/tex]
[tex]NPV = PV + (Sale Value - Book Value) / (1 + r)^n - Initial Investment[/tex]
NPV = $14.33 million + ($5.20 million - $2.97 million) / (1 + 9%)^10 - $11.80 million
NPV = $14.33 million + $1.72 million - $11.80 million
NPV = $4.25 million.
Hence, the NPV of this investment is $4.25 million.
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Nipigon Manufacturing has a cost of debt of 9%, a cost of equity of 11%, and a cost of preferred stock of 10%. Nipigon currently has 120,000 shares of common stock outstanding at a market price of $25 per share. There are 49,000 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 106 . The company's tax rate is 40%. Required: Calculate the weighted average cost of capital for Nipigon. You must show and clearly label all calculations to receive full marks. You can enter your calculations in the space provided below or you can upload them to the drop box provided in the Assignments area.
Answer:Therefore, the weighted average cost of capital for Nipigon Manufacturing is 10.3%.The calculation of weighted average cost of capital for Nipigon Manufacturing are as follows:
Calculations:
Weighted average cost of capital (WACC) is:WACC = (4,862,000 / (4,862,000 + 1,007,000)) × 5.4% + (3,000,000 / (4,862,000 + 1,007,000)) × 11% + (1,862,000 / (4,862,000 + 1,007,000)) × 10%WACC = 0.665 × 5.4% + 0.346 × 11% + 0.289 × 10%WACC = 3.6% + 3.81% + 2.89%WACC = 10.3%
Common StockMarket value = $25
Number of shares = 120,000
Value of equity = 25 × 120,000 = $3,000,000
Preferred StockMarket value = $38Number of shares = 49,000Value of equity = 38 × 49,000 = $1,862,000Total value of equity = 3,000,000 + 1,862,000 = $4,862,000DebtMarket value = 950,000 × 1.06 = $1,007,000Weighted cost of debt = 9% × (1 - 0.4) = 5.4%
Cost of equity = 11%Cost of preferred stock = 10%
Answer:Therefore, the weighted average cost of capital for Nipigon Manufacturing is 10.3%.
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Module 1 Discussion
Welcome to Week One!
What is Consumer Behavior?
Why is it important for Marketers?
Respond with a minimum of 200-words.
Use your textbook
- cite as (Babin & Harris, 2018, p. xxx) - include
the page # where you found the information you used!
Discussion Board's INITIAL post must have two authored references each week. One reference must be your TEXTBOOK and the second is one that you found via research on the topic for that week. It must be a WRITTEN article - no videos. An authored source means that it has a human's name associated with the source. An article written by an actual person versus a general blog - the author must have a first and last name.
Consumer behavior refers to the process by which people buy and use goods and services for their satisfaction. Consumer behavior is a crucial factor for marketers since it provides them with an insight into the needs, preferences, motivations, and behaviors of consumers, allowing them to understand their target market and create strategies to satisfy their needs.
It is important for marketers to study consumer behavior to understand the key factors that influence their behavior and buying decisions. This includes psychological factors, social factors, cultural factors, and personal factors that affect the consumer's behavior.
Consumer behavior is essential in marketing as it allows marketers to create marketing strategies that meet the needs of consumers. By understanding the buying habits of consumers, marketers can develop product designs, pricing strategies, promotional activities, and distribution channels that target specific segments of consumers and provide them with value. Marketers can also use consumer behavior research to develop customer-centric strategies that improve customer satisfaction and loyalty, which leads to long-term success for the business.
In conclusion, understanding consumer behavior is crucial for marketers in developing successful marketing strategies that appeal to the needs, preferences, and behaviors of consumers.
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A company that manufactures recreational pedal boats has approached Mark cichancwski to ask if he would be interested in using Current Designs rotomold expertise and equipenent to produce some of the pedal boat components. Mark is intrigued by the idea and thinks it would be an interesting way of complementing the present product line. One of Mark's hesitations about the proposal is that the pedal boats are a different shape than the kayaks that Current Designs produces. As a result, the compary would need to bay an additionial rotomold oven in order to produce the pedal boat components. This project clearly involves risks, and Mark wants to make sure that the returns justify the risks. In this case. since this is a new venture, Mark thinks that a 15% discount rate is appropriate to use to evaluate the project. As an intern at Current Designs, Mark has tiked you to prepare an initial evaluation of this proposal. To aid in your analysis; he has. provided the following informationand assumptions. 1. The new rotomold oven will have a cost of $246,000, a salvage value of $0. and an 8 -year useful life. Straight-line depreciation will be used. 2. The projected revenues, costs, and results for each of the 8 years of this project are as follows. Compute the payback period, (Round answer to 2 decimal places, e.g 15.25) Payback period years - eTextbook and Media Attempts: 0 of 3 used Question Part Score (c) The parts of this question must be completed in order. This part will be available when you complete the part above.
Payback period years= 5.39Explanation:The payback period is the time required for an investment to recover its initial cost from the cash inflows generated by the investment.
The payback period calculation is a tool for analyzing the profitability of a business investment. It is calculated as:Payback period = Initial investment / Cash inflows per period Based on the above formula, payback period can be calculated for the given case:
Step 1: Calculation of annual cash inflowsYear 1: 24000 - 18000 = 6000
Year 2: 32000 - 20000 = 12000Year 3: 40000 - 20000 = 20000Year
4: 42000 - 20000 = 22000Year 5: 42000 - 20000 = 22000Year
6: 42000 - 20000 = 22000Year 7: 40000 - 20000 = 20000Year
8: 32000 - 20000 = 12000Step 2: Calculation of cumulative cash inflowsYear
1: 6000Year 2: 18000Year 3: 38000Year 4: 60000Year
5: 82000Year 6: 104000Year 7: 124000Year 8: 136000Step
3: Calculation of payback period= 4 + (82000 - 60000) /
22000= 4 + 22000/22000= 5.39 years, the payback period is 5.39 years.
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Which of the following statements are true?
Select all that apply.
When the prevalence of a disease is low (i.e. the disease is rare) the odds ratio is approximately equal to the relative risk
Under the null hypothesis of homogeneity, we use the overall proportion in each category as the hypothesised proportions for each population
In a 2x2 table, statistical independence is equivalent to a population odds ratio of 1.
If the confidence interval for an odds ratio contains O then we do not reject the null hypothesis and conclude that there is no significant association
Statement is 1,2,3 are true. The odds ratio is approximately equal to the relative risk when the prevalence of a disease is low, and statistical independence is equivalent to an odds ratio of 1 in a 2x2 table.
When the prevalence of a disease is low, the number of people who are both exposed and have the disease is small. This means that the odds ratio is not very sensitive to the difference between the exposed and unexposed populations. As a result, the odds ratio is approximately equal to the relative risk.
Under the null hypothesis of homogeneity, we assume that the two populations have the same proportions of people with the disease. This means that the odds ratio is equal to 1.
In a 2x2 table, statistical independence is equivalent to the odds ratio being equal to 1. This is because statistical independence means that the occurrence of one event does not affect the probability of the other event occurring.
The confidence interval for an odds ratio is a range of values that is likely to contain the true odds ratio. If the confidence interval contains 1, then it is possible that the true odds ratio is 1, but it is also possible that the true odds ratio is not 1. Therefore, we cannot conclude that there is no significant association.
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which of the following as identified as being an important demographic of incarcerated women
One of the important demographics of incarcerated women is mothers. Many incarcerated women are mothers, and their imprisonment has significant implications for their children and families.
Many incarcerated women are mothers, and their imprisonment has significant implications for their children and families. The majority of incarcerated women have dependent children, and their incarceration can disrupt family dynamics, and separation from their children, and hinder their ability to fulfill parental responsibilities.
The imprisonment of mothers can have far-reaching effects on the well-being and development of their children. It can lead to emotional, social, and economic challenges, including instability, increased risk of involvement in the criminal justice system, and difficulties in maintaining familial bonds.
Recognizing the unique needs and circumstances of incarcerated mothers is essential in developing policies and programs that address the well-being of both incarcerated women and their children. Providing support and resources to incarcerated mothers can help mitigate the negative consequences and promote successful reintegration into society upon release.
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Consider an economy with three types of risk-neutral entrepreneurs. If a type 1 entrepreneur invests $200 she gets a gross return of $400 with certainty. If a type 2 entrepreneur invests $100 she gets $200 with certainty. And finally, if a type 3 entrepreneur invests $100 she gets $300 with probability 0.75 and 0 with probability 0.25.
A risk neutral, competitive lender is considering extending loans to these entrepreneurs. This bank can determine if potential borrowers are of type 1 (henceforth, high-type borrowers), but it can’t distinguish between entrepreneurs of type 2 and 3 (henceforth, low-type borrowers), but it does know that half of the low-type borrowers are of type 2, and the other half are of type 3.
All borrowers, on the other hand, can recognize each others’ types. Under these conditions, the bank decides to extend individual loans to high-type borrowers and group loans with joint liability to low-type borrowers. As a result, a low-type borrower may have to repay for a defaulting peer. The cost of lending to high-types is $20, while the cost of lending to low-types is $30 (because the bank has to put in additional time and effort to ensure that groups are formed and to enforce debt repayments). Assume that the borrowers are protected by limited liability.
a. If the bank only aims to break even, calculate the interest rates charged to high types and to low types. Compare the two rates
The bank only aims to break even. Therefore, we can assume that the bank is charging an interest rate such that it just covers the cost of lending.Let us start by calculating the expected return and standard deviation of return for each of the three entrepreneurs:
Type 1 entrepreneur invests $200 and gets a gross return of $400 with certainty. Therefore, her expected return is $400 and standard deviation of return is 0.Type 2 entrepreneur invests $100 and gets $200 with certainty. Therefore, her expected return is $200 and standard deviation of return is 0.Type 3 entrepreneur invests $100 and gets $300 with probability 0.75 and 0 with probability 0.25.
Therefore, her expected return is $225 and standard deviation of return is $75.The bank knows that half of the low-type borrowers are of type 2, and the other half are of type 3. Therefore, a low-type borrower will get an expected return of (0.5 x 200 + 0.5 x 225) = $212.5. Her standard deviation of return will be the same as that of type 3 entrepreneur, that is, $75.The bank charges $20 to high-types and $30 to low-types as the cost of lending.Let r1 be the interest rate charged to high types and r2 be the interest rate charged to low types.
The expected return of the bank from lending to high types is:$400 x (1+r1) - $200 x (1+0.04) - $20 = 0or$400r1 - $228 = 0r1 = 0.57 or 57%The expected return of the bank from lending to low types is:$212.5 x (1+r2) - $200 x (1+0.04) - $30 = 0or$212.5r2 - $238 = 0r2 = 1.12 or 112%The interest rate charged to low types is more than the interest rate charged to high types. The bank is charging a higher interest rate from low types because of the cost of lending to them is higher than that of lending to high types.
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if the interest rate (r) increases, what will happen to the present value (pv) over time?
The present value of a future cash flow decreases as the interest rate increases.
If the interest rate (r) increases, the present value (PV) of a future cash flow will decrease. This is because the higher the interest rate, the more the value of money today is worth relative to the value of money in the future.
For example, if the interest rate is 5%, a future cash flow of $100 in one year is worth $95.24 today. However, if the interest rate increases to 10%, the future cash flow of $100 in one year is only worth $90.91 today.
The following formula can be used to calculate the present value of a future cash flow:
PV = FV / (1 + r)^t
The opposite is also true. If the interest rate decreases, the present value of a future cash flow will increase.
This is because a lower interest rate means that the value of money today is worth less relative to the value of money in the future. Therefore, a future cash flow is worth more today when the interest rate is lower.
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item skipped item 1 the process of mortgage securitization results in a separation between mortgage origination and mortgage financing.
Yes, that is correct. The process of mortgage securitization involves the separation of mortgage origination and mortgage financing.
Traditionally, when a borrower obtains a mortgage loan from a bank or lender, that institution holds the loan on its balance sheet and collects the payments from the borrower over time. However, in the case of mortgage securitization, the lender bundles a group of mortgages together and transfers them to a special purpose vehicle (SPV) or a trust. The SPV or trust then issues mortgage-backed securities (MBS) to investors in the financial market. As a result of this process, the mortgage origination function, which involves the initial lending and underwriting of the mortgage loans, is separated from the mortgage financing function, which involves the issuance and trading of the MBS in the secondary market
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What is the NOI if a building sells for $1,250,000 on an 8% cap rate?
Net Operating Income (NOI) is a calculation of how much income is left over after all operating expenses are paid for. The formula for calculating Net Operating Income (NOI) is:
NOI = Total Income - Operating Expenses
Given that the building is sold for $1,250,000 on an 8% cap rate, we can calculate the net operating income using the following formula;
Cap Rate = Net Operating Income / Current Market Value
Rearranging the formula, we get;
Net Operating Income = Cap Rate × Current Market Value
Substituting the given values, we get;
Net Operating Income = 0.08 × $1,250,000 = $100,000
Therefore, the Net Operating Income (NOI) of the building is $100,000. This implies that the building has an annual net operating income of $100,000, which is calculated based on the 8% cap rate when it sold for $1,250,000.
The NOI is an essential metric that is used in determining the potential profitability of an investment property.
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An investment project costs $18,100 and has annual cash flows of $3,700 for six years.
a. What is the discounted payback period if the discount rate is zero percent?
b. What is the discounted payback period if the discount rate is 5 percent?
c. What is the discounted payback period if the discount rate is 18 percent?
a)When the discount rate is 0 percent, the discounted payback period can be calculated by dividing the initial cost by the annual cash flows. Here, initial cost is $18,100 and annual cash flows is $3,700.DPP = Initial Cost / Annual Cash Flows= $18,100 / $3,700= 4.89 years).
When the discount rate is 5 percent, the discounted cash flows for each year and cumulative discounted cash flows at the end of each year can be calculated as follows: Discounted Cash Flows:|Year| Cash Flows| PVF (5%, year)|Discounted Cash Flows[tex]|1|$3,700|0.9524|$3,525.08|2|$3,700|0.907|[/tex] [tex]$3,352.9|3|$3,700|0.8638|$3,184.06|4|$3,700|0.8227|$3,018.19|5|$3,700|0.7835|$2,855.38|6|[/tex]|Cumulative Discounted Cash Flows:|Year| Cumulative Cash Flows Cumulative Discounted Cash.
Flows[tex]|1|$3,700|$3,525.08|2|$7,400|$6,877.98|3|$11,100|$10,062.05|4|$14,800|$1[/tex] |The discounted payback period is the year before the cumulative discounted cash flows exceed the initial cost. In this case, that happens during year 5. So the discounted payback period when the discount rate is 5% is: DPP = Year 4 + (Initial Cost - Cumulative Discounted Cash Flows in Year 4) / Discounted Cash Flows in Year [tex]5= 4 + ($18,100 - $13,080.24) / $2,855.38= 4.63 years).[/tex]
Flows|1[tex]|$3,700|$3,137.25|2|$7,400|$5,795.66|3|$11,100|$8,048.17|[/tex]The discounted payback period is the year before the cumulative discounted cash flows exceed the initial cost. In this case, that happens during year 6. So the discounted payback period when the discount rate is 18% is: DPP = Year 5 + (Initial Cost - Cumulative Discounted Cash Flows in Year 5) / Discounted Cash Flows in Year [tex]6= 5 + ($18,100 - $11,575.63) / $1,372.63= 5.08[/tex] years.
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Required Lump-Sum Payment To complete your last year in business school and then go through law school, you will need $10,000 per year for 4 years, starting next year (that is, you will need to withdraw the first $10,000 one year from today). Your uncle offers to put you through school, and he will deposit in a bank paying 5.5% interest a sum of money that is sufficient to provide the 4 payments of $10,000 each. His deposit will be made today. Do not round intermediate calculations. Round your answers to the nearest cent. If your answer is zero, enter "0". a. How large must the deposit be? $ b. How much will be in the account immediately after you make the first withdrawal? $ How much will be in the account immediately after you make the last withdrawal? $
a) The amount of money that must be deposited to cover the four $10,000 payments over four years, beginning one year from now, and earn 5.5% interest annually is required to be calculated.
As per the question, the annual payment of $10,000 is to be made for 4 years, thus the present value of four $10,000 payments (1 year from today) is to be calculated.
[tex]PV = PMT x [((1 + r)^n - 1) / r] PV = $10,000 x [((1 + 0.055)^4 - 1) / 0.055] = $37,523.72[/tex]
Therefore, the amount required for a lump-sum deposit today is $37,523.72.b) The account's balance immediately after you make the first withdrawal can be calculated as follows:Present Value of the remaining payments =
[tex]PMT x [((1 + r)^n - 1) / r] x (1 + r) ^ -t[/tex]
Present Value of the remaining payments =
[tex]$10,000 x [((1 + 0.055)^4 - 1) / 0.055] x (1 + 0.055) ^ -1 = $32,298.57[/tex]
The account balance is $32,298.57, immediately after the first withdrawal.Immediately after the last withdrawal, there will be no money left in the account as it would have been completely depleted by that point.
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EOQ, Safety Stock, Lead Time, Batch Size, and JIT
Bateman Company produces helmets for drivers of motorcycles. Helmets are produced in batches according to model and size. Although the setup and production time vary for each model, the smallest lead time is six days. The most popular model, Model HA2, takes two days for setup, and the production rate is 1,425 units per day. The expected annual demand for the model is 68,400 units. Demand for the model, however, can reach 85,500 units. The cost of carrying one HA2 helmet is $3 per unit. The setup cost is $11,400. Bateman chooses its batch size based on the economic order quantity criterion. Expected annual demand is used to compute the EOQ.
Recently, Bateman has encountered some stiff competition—especially from foreign sources. Some of the foreign competitors have been able to produce and deliver the helmets to retailers in half the time it takes Bateman to produce. For example, a large retailer recently requested a delivery of 22,800 Model HA2 helmets with the stipulation that the helmets be delivered within seven working days. Bateman had 5,700 units of HA2 in stock. Bateman informed the potential customer that it could deliver 5,700 units immediately and the other 17,100 units in about 14 working days—with the possibility of interim partial orders being delivered. The customer declined the offer indicating that the total order had to be delivered within seven working days so that its stores could take advantage of some special local conditions. The customer expressed regret and indicated that it would accept the order from another competitor who could satisfy the time requirements.
Based on the given information, let's analyze the concepts of EOQ (Economic Order Quantity), safety stock, lead time, batch size, and JIT (Just-in-Time) in relation to Bateman Company's production and delivery of helmets.
1. Economic Order Quantity (EOQ):
EOQ is a formula used to determine the optimal order quantity that minimizes the total cost of ordering and carrying inventory. It is calculated using the following formula:
EOQ = √[(2 * annual demand * setup cost) / carrying cost per unit]
In this case, the annual demand for Model HA2 helmets is 68,400 units, and the setup cost is $11,400. The carrying cost per unit is given as $3. By plugging in these values into the formula, Bateman can calculate the EOQ for Model HA2 helmets.
1. Safety Stock:
Safety stock is an additional inventory maintained to protect against uncertainties such as unexpected increases in demand or longer lead times.
It acts as a buffer to prevent stockouts and ensure customer satisfaction. The optimal level of safety stock depends on factors such as desired service level, lead time variability, and demand variability.
2. Lead Time:
Lead time refers to the time it takes for an order to be fulfilled from the moment it is placed. In this case, the smallest lead time for Bateman Company is six days.
It's important to note that lead time can vary depending on factors such as production time, transportation time, and order processing time.
3. Batch Size:
Batch size refers to the quantity of products produced or ordered in a single production run or purchase order.
Bateman Company determines its batch size based on the economic order quantity (EOQ) criterion. By using the EOQ formula, Bateman can calculate the optimal batch size for Model HA2 helmets.
4.Just-in-Time (JIT):
Just-in-Time is a production and inventory management approach aimed at minimizing inventory levels by producing or ordering items in response to actual demand.
JIT emphasizes reducing waste, improving efficiency, and maintaining a smooth flow of materials throughout the production process. JIT can help companies meet customer demand quickly while reducing inventory holding costs.
In the given scenario, Bateman Company faced competition from foreign sources that could deliver helmets in half the time. This highlights the importance of considering lead time and the ability to meet customers' delivery requirements.
Bateman's inability to fulfill the customer's request within seven working days resulted in losing the order to a competitor who could satisfy the time requirements.
This situation could prompt Bateman to evaluate and improve their production and delivery processes, potentially adopting JIT principles to enhance responsiveness and meet customer demands efficiently.
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Annie's company is bidding for a contract to supply 4,400 voice recognition (VR) computer keyboards a year for four years. Due to technological improvements, beyond that time they will be outdated and no sales will be possible. The equipment necessary for the production will cost $4 million and will be depreciated on a straight-line basis to a zero salvage value. Production will require an investment in net working capital of $97,000 to be returned at the end of the project and the equipment can be sold for $277,000 at the end of production. Fixed costs are $642,000 per year, and variable costs are $157 per unit. In addition to the contract, she feels her company can sell 9,700, 10,600,12,700, and 10,000 additional units to companies in other countries over the next four years, respectively, at a price of $320. This price is fixed. The tax rate is 22 percent, and the required return is 9 percent. Additionally, the president of the company will only undertake the project if it has an NPV of $100,000. What bid price should she set for the contract? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
The bid price that should Annie set for the contract is $217.96.
Annie's company is bidding for a contract to supply 4,400 voice recognition (VR) computer keyboards a year for four years. Due to technological improvements, beyond that time they will be outdated and no sales will be possible.The equipment necessary for the production will cost $4 million and will be depreciated on a straight-line basis to a zero salvage value.
Production will require an investment in net working capital of $97,000 to be returned at the end of the project and the equipment can be sold for $277,000 at the end of production.
Fixed costs are $642,000 per year, and variable costs are $157 per unit.In addition to the contract, she feels her company can sell 9,700, 10,600,12,700, and 10,000 additional units to companies in other countries over the next four years, respectively, at a price of $320. This price is fixed.The tax rate is 22 percent, and the required return is 9 percent.
Additionally, the president of the company will only undertake the project if it has an NPV of $100,000. We need to calculate the bid price for the contract.
Solution:For calculating bid price, we need to calculate NPV of the project first. For calculating NPV of the project, we need to calculate annual cash flows.We know that,Total demand for four years = 4 × 4,400 = 17,600 per year.Additional units to be sold = 9,700 + 10,600 + 12,700 + 10,000 = 43,000Total production per year = 17,600 + Additional units = 17,600 + 43,000 = 60,600 . Total revenue from production = Total production × Price = 60,600 × $320 = $19,392,000. Fixed cost per year = $642,000, Variable cost per unit = $157 ,Total variable cost = Total production × Variable cost per unit= 60,600 × 157 = $9,523,200.
So, Total cost = Fixed cost + Total variable cost = $642,000 + $9,523,200= $10,165,200Depreciation per year = Cost of equipment / Life of equipment = $4,000,000 / 4= $1,000,000So, Net income before taxes = Total revenue - Total cost - Depreciation= $19,392,000 - $10,165,200 - $1,000,000= $8,226,800Less: Taxes (22%) = $1,809,896Net income after taxes = $8,226,800 - $1,809,896 = $6,416,904Add: Depreciation = $1,000,000Cash flow per year = $7,416,904The investment in working capital is recovered at the end of the project.
Hence, it will not be considered in the calculation of annual cash flows. We need to calculate the cash flows at the end of four years. Cash flow at the end of the fourth year:Working capital recovered = $97,000Equipment sold = $277,000So, Total cash flow at the end of fourth year = $97,000 + $277,000 = $374,000. Now, we can calculate the NPV of the project using the following formula:NPV = [latex]\frac{CF_{0}}{(1+k)^{0}}[/latex] + [latex]\frac{CF_{1}}{(1+k)^{1}}[/latex] + [latex]\frac{CF_{2}}{(1+k)^{2}}[/latex] + [latex]\frac{CF_{3}}{(1+k)^{3}}[/latex] + [latex]\frac{CF_{4}}{(1+k)^{4}}[/latex]Here, CF0 = - $4,000,000CF1 to CF4 = $7,416,904NPV = $100,000k = 9%Using financial calculator,NPV = $2,931.11 .
Now, we can calculate the bid price of the contract using the following formula:NPV = Total present value of cash inflows - Total present value of cash outflowsTotal present value of cash inflows = 4 years annuity factor × Cash inflows per year= 4.573 × $7,416,904 = $33,888,321.19Total present value of cash outflows = $4,000,000 + $10,165,200 + $97,000= $14,262,200So, NPV = $33,888,321.19 - $14,262,200 - Bid priceBid price = $19,626,121.19 / 4 years annuity factor= $4,290,124.36 per year.
Therefore, the bid price that should Annie set for the contract is $217.96 (Bid price = $4,290,124.36 / 19,600)
Answer: $217.96.
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How did Leadership Through Quality radically change the way
Xerox did business?
Leadership Through Quality radically changed the way Xerox did business in a number of ways.The first way in which LQ changed Xerox was by encouraging employees to work collaboratively across departments.
Xerox was able to develop a more comprehensive understanding of its customers' needs and expectations, which helped the company design products and services that better met those needs.The second way in which LQ changed Xerox was by introducing a more systematic approach to quality management. Instead of relying on ad hoc methods for ensuring quality, Xerox began to use statistical techniques to monitor and improve its production processes. This helped the company identify problems earlier and make improvements more quickly.The third way in which LQ changed Xerox was by introducing a new culture of innovation. By encouraging employees to take risks and experiment with new ideas, Xerox was able to develop a number of breakthrough products, including the first desktop computer.
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SUNLAND AND CULVER LTD. Balance Sheet December 31 Liabilities Additional information: 1. Seventy-five percent of the sales were on account. 2. The allowance for doubtful accounts was $4,000 in 2021,$5,000 in 2020, and $3,000 in 2019. 3. In 2021 and 2020 , dividends of $4,000 and $8,000, respectively, were paid to the common shareholders. 4. Cash provided by operating activities was $103,500 in 2021 and $127,000 in 2020 . 5. Cash used by investing activities was $105,500 in 2021 and $35,000 in 2020. 7. Operating cycle days days Solvency Ratios 8. Debt to total assets 9. Interest coverage 10. Free cash flow \% % times times Profitability Ratios 11. Gross profit margin 12. Profit margin 13. Asset turnover 14. Return on assets 15. Return on equity 16. Earnings per share %% % % times % 8 17. Payout ratio % $ %
Sunland and Culver Ltd. had a decrease in cash from investing activities and paid dividends, but improved their allowance for doubtful accounts.
The balance sheet of Sunland and Culver Ltd. indicates that the company experienced a decrease in cash used for investing activities in both 2021 and 2020, with $105,500 and $35,000 used, respectively.
This suggests that the company may have made significant investments or acquisitions during those periods. Additionally, dividends were paid to common shareholders, amounting to $4,000 in 2021 and $8,000 in 2020.
On the positive side, the company improved its allowance for doubtful accounts, increasing from $4,000 in 2021 to $5,000 in 2020, and $3,000 in 2019. This change indicates a more conservative approach to recognizing potential bad debts and managing credit risk.
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Sunland and Culver Ltd. had a decrease in cash from investing activities and paid dividends, but improved their allowance for doubtful accounts.
The balance sheet of Sunland and Culver Ltd. indicates that the company experienced a decrease in cash used for investing activities in both 2021 and 2020, with $105,500 and $35,000 used, respectively. This suggests that the company may have made significant investments or acquisitions during those periods. Additionally, dividends were paid to common shareholders, amounting to $4,000 in 2021 and $8,000 in 2020.
On the positive side, the company improved its allowance for doubtful accounts, increasing cash from $4,000 in 2021 to $5,000 in 2020, and $3,000 in 2019. This change indicates a more conservative approach to recognizing potential bad debts and managing credit risk.
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which of the following countries was the andean community's largest trading partner?
The Andean Community is a regional organization composed of four member countries: Bolivia, Colombia, Ecuador, and Peru.
To determine the largest trading partner of the Andean Community, it would be necessary to consider data specific to a particular timeframe, as trade relationships can vary over time. As of my knowledge cutoff in September 2021, the United States has traditionally been one of the largest trading partners for the Andean Community countries. The United States has engaged in trade agreements with individual Andean countries and the Andean Community as a whole. Additionally, other countries such as China, the European Union member states, and neighboring countries in the region also play significant roles in trade with the Andean Community.
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Company ABC makes pieces for different products, each piece is sold for £200 and the cost per unit is £40. The company has sold 8,000 pieces. Fixed costs equal £1,200,000 per year. Considering this information, which of the following statements is true? a. The company would make 0 profit/loss if the number of pieces sold is 8,000 . b. The company will make losses if the number of pieces sold is larger than 7,500. c. The margin of safety is 500 pieces and £100,000. d. None of the answers is true.
The correct answer is b. The company will make losses if the number of pieces sold is larger than 7,500.
To determine the profitability of the company, we need to calculate the total revenue and total cost. The total revenue is calculated by multiplying the selling price per unit (£200) by the number of pieces sold (8,000), resulting in £1,600,000.
The total cost is calculated by multiplying the cost per unit (£40) by the number of pieces sold (8,000), resulting in £320,000. The contribution margin per unit is calculated by subtracting the cost per unit from the selling price per unit, which is £200 - £40 = £160.
The contribution margin ratio is the contribution margin per unit divided by the selling price per unit, which is £160 / £200 = 0.8 or 80%. To cover the fixed costs of £1,200,000 per year, the company needs to sell £1,200,000 / £160 = 7,500 pieces. Therefore, if the number of pieces sold is larger than 7,500, the company will generate enough revenue to cover the fixed costs and make a profit.
However, if the number of pieces sold is less than 7,500, the company will not generate enough revenue to cover the fixed costs and will incur losses. Therefore, statement b is true, while statements a and c are false.
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The correct answer is b. The company will make losses if the number of pieces sold is larger than 7,500.
To determine the profitability of the company, we need to calculate the total revenue and total cost. The total revenue is calculated by multiplying the selling price per unit (£200) by the number of pieces sold (8,000), resulting in £1,600,000.
The total cost is calculated by multiplying the cost per unit (£40) by the number of pieces sold (8,000), resulting in £320,000. The contribution margin per unit is calculated by subtracting the cost per unit from the selling price per unit, which is £200 - £40 = £160.
The contribution margin ratio is the contribution margin per unit divided by the selling price per unit, which is £160 / £200 = 0.8 or 80%. To cover the fixed costs of £1,200,000 per year, the company needs to sell £1,200,000 / £160 = 7,500 pieces. Therefore, if the number of pieces sold is larger than 7,500, the company will generate enough revenue to cover the fixed costs and make a profit.
However, if the number of pieces sold is less than 7,500, the company will not generate enough revenue to cover the fixed costs and will incur losses. Therefore, statement b is true, while statements a and c are false.
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Cool Water Ltd has 15 million common shares outstanding and long-term debt with a market value of $25 million. The Board of Directors has asked you to investigate the possibility of having a rights issue to raise enough funds to pay off the debt. Based on the current value of the company’s shares, the company’s investment dealer has recommended a subscription price of $5 per share for the new shares.
The total capital required to pay off the debt is $25 million. Cool Water Ltd can raise the capital required through a rights issue. The recommended subscription price per share is $5. Cool Water Ltd has 15 million common shares outstanding.
Cool Water Ltd's total debt with a market value of $25 million can be paid off through a rights issue that can raise enough funds. To carry out the rights issue, Cool Water Ltd can issue new shares at the recommended subscription price of $5 per share to raise the capital required.
The total number of shares issued during the rights issue can be calculated as follows:
Number of new shares required to be issued = Total debt / Subscription price per share
= $25,000,000 / $5
= 5,000,000
The total number of shares issued after the rights issue can be calculated as follows:
Total number of shares = Current outstanding shares + New shares
= 15,000,000 + 5,000,000
= 20,000,000
Therefore, the company can issue 5 million new shares at the recommended subscription price of $5 per share, thereby raising the capital required to pay off the debt. The total number of outstanding shares will increase to 20 million after the rights issue.
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a manufacturer is using a fixed order quantity inventory model for valve replenishment by a supplier. the order quantity is 1000 valves. the weekly requirement for deliveries is 200 valves. the supplier's lead time is 2 weeks. if the re-order point has been set at 500 valves, how much safety stock is being carried?
It should be noted that the safety stock being carried is 100 valves.
How to calculate the valueTo determine the safety stock being carried, we need to calculate the difference between the reorder point and the expected demand during the lead time. In this case:
Reorder Point = 500 valves
Lead Time = 2 weeks
Weekly Requirement = 200 valves
Expected Demand during Lead Time = Weekly Requirement * Lead Time = 200 valves/week * 2 weeks = 400 valves
Safety Stock = Reorder Point - Expected Demand during Lead Time
= 500 valves - 400 valves
= 100 valves
Therefore, the safety stock being carried is 100 valves.
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Assume you are in charge of developing the strategy for an international company selling products in some 50 different countries around the world. One of the issues you face is whether to employ a multidomestic strategy, a global strategy, or a transnational strategy.
If your company's product is mobile phones, which of these strategies do you think it would make better strategic sense to employ? Why?
If your company's product is dry soup mixes and canned soups, would a multidomestic strategy seem to be more advisable than a global strategy or a transnational strategy? Why or why not?
If your company's product is large home appliances such as washing machines, ranges, ovens, and refrigerators, would it seem to make more sense to pursue a multidomestic strategy, a global strategy, or a transnational strategy. Why?
When developing a strategy for an international company selling products in about 50 different countries around the world, it is crucial to choose a strategy that will cater to the demands of the company and the global market.
The three main strategies to choose from include global strategy, multidomestic strategy, or transnational strategy.If the company's product is mobile phones, a global strategy would make better strategic sense to employ. This is because mobile phones are not very different in terms of features and requirements. Therefore, the same product can be sold in different markets with little or no modifications at all.
The concept of standardization is a major factor in mobile phones that favor a global strategy. Standardization means that a company produces the same product in all the markets it operates in. A global strategy would make it possible to take advantage of economies of scale that would reduce the cost of production of mobile phones.
If the company's product is dry soup mixes and canned soups, a multidomestic strategy would seem to be more advisable than a global strategy or a transnational strategy. This is because dry soup mixes and canned soups are subject to cultural and regional preferences. The taste and ingredients of canned soup mixes that may be popular in one region may not be acceptable to customers in other regions.
A multidomestic strategy would, therefore, allow the company to adapt to regional preferences and stay relevant to the local market.
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In addition to international mutual funds, critically discuss how investors can achieve international portfolio diversification "at home" from the perspective of dollar-based investors
Expert Answer
In addition to international mutual funds, dollar-based investors can achieve international portfolio diversification "at home" by investing in American Depository Receipts (ADRs), multinational corporations (MNCs), and exchange-traded funds (ETFs) that are focused on foreign markets.
ADRs are certificates issued by a US bank that represent ownership of a foreign company's stock and are traded on US exchanges. MNCs are companies that operate in multiple countries and generate revenue and profits from foreign operations. ETFs provide exposure to foreign markets by investing in a basket of stocks from a particular country or region. Investing in ADRs, MNCs, and ETFs can provide investors with exposure to foreign markets while avoiding the complications and risks associated with investing directly in foreign stocks. These investments also provide the benefits of diversification across sectors and industries within foreign markets, which can help reduce risk and increase returns.
However, investors should be aware that there are risks associated with investing in international markets, such as currency risk, political risk, and economic risk. Therefore, it is important to conduct thorough research and due diligence before making any investment decisions and to diversify across different asset classes and regions to manage risk. In conclusion, dollar-based investors can achieve international portfolio diversification "at home" by investing in ADRs, MNCs, and ETFs that provide exposure to foreign markets while minimizing the risks associated with investing directly in foreign stocks. It is important to be aware of the risks associated with investing in international markets and to diversify across different asset classes and regions to manage risk.
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Analysis of HIM’s influence in the revenue cycle, and the connection of the revenue cycle to financial success at LiveWell.
Assessment of how meeting federal HIPAA requirements in ROI impacts the financial success and challenge of the ROI function.
An overview of practices that an HIM manager takes to maintain a successful budget.
This directly impacts the financial success of LiveWell by ensuring the organization receives appropriate reimbursement for services rendered. By adhering to HIPAA regulations, LiveWell can build trust with patients, maintain compliance, and avoid costly legal consequences, thus positively impacting its financial success. By actively managing the budget and employing these practices, the HIM manager can help LiveWell maintain financial stability, allocate resources effectively, and optimize financial success.
HIM (Health Information Management) plays a crucial role in the revenue cycle of healthcare organizations like LiveWell. HIM's influence in the revenue cycle can be observed in various stages, including patient registration, documentation and coding, claims submission, and reimbursement processes. Accurate and timely documentation and coding by HIM professionals ensure that the organization can bill for services provided, maximize reimbursement, and minimize claim denials.
Meeting federal HIPAA (Health Insurance Portability and Accountability Act) requirements in ROI (Release of Information) has a significant impact on the financial success and challenge of the ROI function. Compliance with HIPAA regulations ensures patient privacy and security of health information during the release process. Failure to meet these requirements can lead to penalties, legal issues, and damage to the organization's reputation.
To maintain a successful budget, an HIM manager must implement several practices. These include analyzing historical financial data, identifying areas of potential cost savings or revenue generation, setting realistic budget goals, monitoring expenses and revenue on an ongoing basis, and making adjustments as needed. The HIM manager should also collaborate with other departments and stakeholders to gather input, ensure alignment with organizational goals, and address any budgetary challenges.
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The Starr Co. just paid a dividend of $1.35 per share on its stock. The dividends are expected to grow at a constant rate of 3 percent per year, indefinitely. Investors require an 10 percent return on the stock. (Do not round intermediate calculations. Round the final answers to 2 decimal places. Omit $ sign in your response.)
What is the current price?
Current price
What will the price be in three years?
Stock price
What will the price be in 15 years?
Stock price
Starr Co. just paid a dividend of $1.35 per share on its stock.Dividends are expected to grow at a constant rate of 3% per year, indefinitely.Investors require a 10% return on the stock.The current price of the stock is $19.29. The stock price in three years will be $21.08.The stock price in 15 years will be $41.21.
The current price of the stock can be found by using the constant growth model formula as follows:
P₀ = D₁ / (k - g)
where P₀ is the current price, D₁ is the dividend paid, k is the required return rate, and g is the growth rate.
Substituting the given values we have:
P₀ = $1.35 / (0.10 - 0.03)
P₀ = $1.35 / 0.07
P₀ = $19.2857 ≈ $19.29
Thus, the current price of the stock is $19.29.
Now, the price of the stock in three years can be calculated using the formula:
P₃ = D₄ / (k - g)
where P₃ is the stock price after three years, D₄ is the dividend paid in year 4.
In three years, the dividend paid will be:
D₄ = D₁ × (1 + g)³
D₄ = $1.35 × (1 + 0.03)³
D₄ = $1.35 × 1.092727
D₄ = $1.4756
Substituting these values, we have:
P₃ = $1.4756 / (0.10 - 0.03)
P₃ = $1.4756 / 0.07
P₃ = $21.080 ≈ $21.08
Therefore, the stock price in three years will be $21.08.
Furthermore, the price of the stock in 15 years can be calculated using the formula:
P₁₅ = D₁₆ / (k - g)
where P₁₅ is the stock price after 15 years, D₁₆ is the dividend paid in year 16.
In 15 years, the dividend paid will be:
D₁₆ = D₁ × (1 + g)¹⁵
D₁₆ = $1.35 × (1 + 0.03)¹⁵
D₁₆ = $1.35 × 2.135938
D₁₆ = $2.8884
Substituting these values, we have:
P₁₅ = $2.8884 / (0.10 - 0.03)
P₁₅ = $2.8884 / 0.07
P₁₅ = $41.2057 ≈ $41.21
Therefore, the stock price in 15 years will be $41.21.
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Please help
Two years ago, Bethesda Corporation bought a delivery truck for $30,000 (not subject to the luxury auto depreciation limits). Bethesda used MACRS 200 percent declining balance and the half-year convention to recover the cost of the truck, but it did not elect §179 expensing and opted out of bonus depreciation. Answer the questions for the following alternative scenarios. Use MACRS Table. (Do not round percentages used for calculations. Loss amounts should be indicated by a minus sign. Leave no answer blank. Enter zero if applicable.)
Assume that Bethesda claimed $18,500 of depreciation expense on the truck before it sold it in year 3. What are the amount and character of the gain or loss if Bethesda sold the truck in year 3 for $17,000 and incurred $2,000 of selling expenses on the sale?
Recognized gain/loss $
Character of recognized gain/loss $
Ordinary gain/loss $
§1231 gain/loss $
Table 1 MACRS Half-Year Convention
Depreciation Rate for Recovery Period
3-Year 5-Year 7-Year 10-Year 15-Year 20-Year
Year 1 33.33% 20.00% 14.29% 10.00% 5.00% 3.750%
Year 2 44.45 32.00 24.49 18.00 9.50 7.219
Year 3 14.81 19.20 17.49 14.40 8.55 6.677
Year 4 7.41 11.52 12.49 11.52 7.70 6.177
Year 5 11.52 8.93 9.22 6.93 5.713
Year 6 5.76 8.92 7.37 6.23 5.285
Year 7 8.93 6.55 5.90 4.888
Year 8 4.46 6.55 5.90 4.522
Year 9 6.56 5.91 4.462
Year 10 6.55 5.90 4.461
Year 11 3.28 5.91 4.462
Year 12 5.90 4.461
Year 13 5.91 4.462
Year 14 5.90 4.461
Year 15 5.91 4.462
Year 16 2.95 4.461
Year 17 4.462
Year 18 4.461
Year 19 4.462
Year 20 4.461
Year 21 2.231
Given that Bethesda Corporation bought a delivery truck for $30,000 two years ago. They used MACRS 200 percent declining balance and the half-year convention to recover the cost of the truck, but did not elect §179 expensing and opted out of bonus depreciation.
$18,500 of depreciation expense was claimed on the truck before it was sold in year 3. It was sold for $17,000, and $2,000 of selling expenses were incurred on the sale. We have to find out the amount and character of the gain or loss if Bethesda sold the truck in year 3.The depreciation rate for a 3-year recovery period under the MACRS half-year convention is Year After two years of usage, the remaining value of the truck is:
$30,000 × (1 - 0.33 - 0.4445) = $30,000 × 0.2225 = $6,675
Depreciation in the third year: $6,675 × 0.1481 = $988.84
Book value at the beginning of year 3: $30,000 - $18,500 - $988.
84 = $10,511.16Since the truck was sold for $17,000 and $2,000
Selling expenses were incurred, the amount realized on the sale is:
$17,000 - $2,000 = $15,000Gain or loss on the sale of the truck is:
$15,000 - $10,511.16 = $4,488.84
This is an ordinary gain since the truck was used in the business, it is not §1231 property. The character of recognized gain/loss is ordinary gain/loss, the values are as follows:
Recognized gain/loss = $4,488.84Character of recognized gain/loss =
Ordinary gain/loss Ordinary gain/loss = $4,488.84§1231 gain/loss = $0
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