The market price of the 10-year coupon bond after 2 years would be approximately $559.06.
To calculate the market price of a bond, we can use the formula:
Market Price = (Coupon Payment / (1 + Yield)^1) + (Coupon Payment / (1 + Yield)^2) + ... + (Coupon Payment + Par Value / (1 + Yield)^n)
Where:
Coupon Payment = Annual coupon payment
Yield = Current market yield (expressed as a decimal)
n = Number of years to maturity
Market price of a 10-year Zero Coupon Bond:
Since a zero coupon bond does not have any coupon payments, we only need to consider the final payment at maturity.
Coupon Payment = $5,000 (the par value)
Yield = 5% = 0.05 (decimal)
n = 10 years
Market Price = $5,000 / (1 + 0.05)^10
Market Price ≈ $3,791.94
Therefore, the market price of a 10-year Zero Coupon Bond would be approximately $3,791.94.
Market price of a 5-year Coupon Bond:
For a coupon bond, we need to calculate the present value of both the coupon payments and the par value.
Coupon Payment = $3,000 * 3% = $90 (annual coupon payment)
Yield = 5% = 0.05 (decimal)
n = 5 years
Par Value = $3,000
Market Price = ($90 / (1 + 0.05)^1) + ($90 / (1 + 0.05)^2) + ($90 / (1 + 0.05)^3) + ($90 / (1 + 0.05)^4) + ($90 / (1 + 0.05)^5) + ($3,000 / (1 + 0.05)^5)
Market Price ≈ $2,623.25
Therefore, the market price of a 5-year Coupon Bond would be approximately $2,623.25.
Market price of a 10-year coupon bond after 2 years:
In this case, we need to calculate the present value of the remaining coupon payments and the present value of the par value.
Coupon Payment = $500 * 4% = $20 (annual coupon payment)
Yield = 1.5% = 0.015 (decimal)
n = 8 years (remaining maturity)
Par Value = $500
Market Price = ($20 / (1 + 0.015)^1) + ($20 / (1 + 0.015)^2) + ... + ($20 / (1 + 0.015)^8) + ($500 / (1 + 0.015)^8)
Market Price ≈ $559.06
Therefore, the market price of the 10-year coupon bond after 2 years would be approximately $559.06.
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Memphis Company anticipates total sales for April, May, and June of $900,000,$1,000,000, and $1,050,000 respectively, Cash sales are normally 20% of total sales. Of the credit sales, 35% are collected in the same month as the sale, 60% are collected duning the first month after the sale, and the remaining 5% are collected in the second month after the sale Compue the amount of accounts receivable reported on the company's budgeted balance sheet for June 30
To compute the amount of accounts receivable reported on the company's budgeted balance sheet for June 30, we need to calculate the credit sales for each month and then determine the collections for each month.
First, let's calculate the credit sales for each month:
April credit sales = Total sales for April - Cash sales for April
April credit sales = $900,000 - ($900,000 * 20%) = $900,000 - $180,000 = $720,000
May credit sales = Total sales for May - Cash sales for May
May credit sales = $1,000,000 - ($1,000,000 * 20%) = $1,000,000 - $200,000 = $800,000
June credit sales = Total sales for June - Cash sales for June
June credit sales = $1,050,000 - ($1,050,000 * 20%) = $1,050,000 - $210,000 = $840,000
Next, let's calculate the collections for each month:
April collections = 35% of April credit sales
April collections = $720,000 * 35% = $252,000
May collections = 60% of April credit sales + 35% of May credit sales
May collections = ($720,000 * 60%) + ($800,000 * 35%) = $432,000 + $280,000 = $712,000
June collections = 60% of May credit sales + 35% of June credit sales + 5% of April credit sales
June collections = ($800,000 * 60%) + ($840,000 * 35%) + ($720,000 * 5%) = $480,000 + $294,000 + $36,000 = $810,000
Finally, we can calculate the accounts receivable for June 30:
Accounts receivable = June credit sales - June collections
Accounts receivable = $840,000 - $810,000 = $30,000
Therefore, the amount of accounts receivable reported on the company's budgeted balance sheet for June 30 is $30,000.
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Consider the following data on a car:
Cost basis of the asset, CO = BD 5423
Useful life, N = 2 years
Estimated Salvage value, CL = BD 2,000
Interest rate, i = 15%
Compute the annual depreciation allowances and the resulting book values. Using sinking fund method.
The annual depreciation allowances using the sinking fund method are:
Year 1: BD 1,461.50
Year 2: BD 3,961.50
The sinking fund method is a depreciation method that involves setting aside a sinking fund to accumulate an amount equal to the cost basis minus the estimated salvage value over the useful life of the asset.
In this case, the cost basis (CO) is BD 5,423, the useful life (N) is 2 years, the estimated salvage value (CL) is BD 2,000, and the interest rate (i) is 15%.
To calculate the annual depreciation allowance, we first compute the sinking fund deposit using the formula:
Sinking Fund Deposit = (CO - CL) * (i / (1 - (1 + i)^-N))
Then, we divide the sinking fund deposit by the useful life to obtain the annual depreciation allowance.
For the given data, the sinking fund deposit is BD 3,961.50. Thus, the annual depreciation allowances are BD 1,461.50 for Year 1 and BD 3,961.50 for Year 2.
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Why does Marginal Cost often appear to decrease initially as quantity increases and then increase at an increasing rate? 2. (2 pts each part) A manager estimated that the cost functions of their firm as: C(q)=50+20q+5Q 2
, MC(q)=20+10q Based on this information, determine: a. the FC of producing 5 units of output b. the VC of producing 5 units of output c. the TC of producing 5 units of output d. AFC of producing 5 units of output e. AVC of producing 5 units of output f. ATC of producing 5 units of output g. MC when q=5 3. Now, envision you have been tasked to create a table showing how costs change as production changes. a. Given the cost functions from question #2, create a table showing FC, VC, TC, AFC, AVC, ATC, and MC (create a column for each) for the range of quantities between 0 and 20 units. Format this table with consistent decimal places and make it look professional. Give it a title. Paste the table into this document. (5 pts) b. Now create the same two graphs showing costs from the "Tbl1 complete" worksheet included in this week's module. Label it, make it look nice and professional. Paste those two graphs here. ( 5 pts) c. Write at least 3 sentences describing the information and the relationships between the costs contained in the table and the graphs. (4 pts) Added note (updated 9/27/22): Show the Costs as requested in the b part of the excel question by Quantity (Q), in the example I reference this week it is listed by units of labor (L)
The average variable cost of producing 5 units of output is $50.f. The average total cost of producing 5 units of output is $80.
Marginal cost often appears to decrease initially as quantity increases and then increase at an increasing rate because of diminishing marginal returns. When a company produces more products, they must use more inputs, such as labor and materials. When the quantity of products produced is small, each extra unit of production will cost less than the previous one. As the quantity of products produced increases, the marginal cost will continue to decrease, but at a decreasing rate.
This is because the additional inputs that are required to produce each extra unit of product become increasingly scarce. As a result, the marginal cost will eventually increase as the quantity of production increases.The given cost functions are:
C(q) = 50 + 20q + 5q²MC(q) = 20 + 10qa. The fixed cost of producing 5 units of output is $150.b. The variable cost of producing 5 units of output is $250.c. The total cost of producing 5 units of output is $400.d. The average fixed cost of producing 5 units of output is $30.e. The average variable cost of producing 5 units of output is $50.f. The average total cost of producing 5 units of output is $80.g. When q=5, MC = 70.A table that shows the cost functions for different levels of output (0 to 20 units) is given below: Table:Given cost functions of the firm, FC, VC, TC, AFC, AVC, ATC, and MC for different levels of output
Quantity
(Q)
Fixed Cost (FC)
(50)
Variable Cost (VC)
(20q+5q²)
Total Cost (TC)
(50 + 20q + 5q²)
Average Fixed Cost (AFC)
(50/q)
Average Variable Cost (AVC)
(20+5q)
Average Total Cost (ATC)
(50/q+20+5q)
Marginal Cost (MC)
(20+10q)
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Create a Personal Branding Presentation.
Students will be graded on how their presentation adequately conveys their brand. The presentation should include a link to a professional LinkedIn page
A personal branding presentation is a crucial tool for students to showcase their brand effectively. It should highlight their unique qualities, skills, and experiences.
A personal branding presentation is an opportunity for students to present themselves in a compelling and memorable way. It should begin with an engaging introduction that captures the audience's attention and clearly defines the student's personal brand. This can include aspects such as their values, passions, and career goals.
The presentation should then delve into the student's unique qualities, skills, and experiences that set them apart. They can highlight their academic achievements, extracurricular activities, internships, and any relevant work experience. Including specific examples of projects or accomplishments can provide evidence of their capabilities.
To enhance the presentation and enable further exploration of their professional background, the student should include a link to their professional LinkedIn page. This allows the audience to view their detailed profile, connect with them professionally, and explore their network and recommendations. A well-crafted LinkedIn page can further strengthen their personal brand by showcasing their professional accomplishments, skills, and endorsements.
In conclusion, a personal branding presentation is a powerful tool for students to convey their brand effectively. By highlighting their unique qualities, skills, and experiences, and providing a link to their professional LinkedIn page, students can create a compelling presentation that showcases their personal brand and sets them apart from their peers.
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Let assume that the average duration of the loans in a firm is 6.6 years. The average duration of its deposits is 3.4 years with k=L/A = 0.5 and total asset=$230 million. What is the gain (+) or loss (-) on the futures position (that hedges against the risk of the rise in interest rate) using T-Bonds (Duration = 9 years, $96 per $100 face value, minimum contract size = $100,000) if the shock to interest rates is 1.2 percent (decrease) while the current interest rate is 7.8%?
a.
-$12.55 million
b.
$11.92 million
c.
$12.55 million
d.
$11.29 million
The gain or loss on the futures position, hedging against the risk of a rise in interest rates, is -$12.55 million.
To calculate the gain or loss on the futures position, we need to determine the change in the value of the T-Bond futures contract due to the shock in interest rates.
First, we calculate the modified duration of the loan and deposits using the formula: Modified Duration = Duration / (1 + (Interest Rate / (1 + Duration)).
For the loan:
Modified Duration of Loan = 6.6 / (1 + (7.8% / (1 + 6.6))) = 5.51 years.
For the deposits:
Modified Duration of Deposits = 3.4 / (1 + (7.8% / (1 + 3.4))) = 2.84 years.
Next, we calculate the hedge ratio using the formula: Hedge Ratio = (Modified Duration of Loans - Modified Duration of Deposits) / Modified Duration of T-Bond.
Hedge Ratio = (5.51 - 2.84) / 9 = 0.307.
Since k = L / A = 0.5, the firm needs to hedge 50% of its total assets.
Hedge Amount = 0.5 * $230 million = $115 million.
To calculate the change in futures price, we use the formula: Change in Futures Price = (Hedge Ratio * Hedge Amount * Shock to Interest Rates) / (Futures Contract Size * T-Bond Price).
Change in Futures Price = (0.307 * $115 million * (-1.2%) / ($100,000) * ($96 per $100 face value) = -$466,293.33.
Finally, we calculate the gain or loss on the futures position by multiplying the Change in Futures Price by the number of contracts: Gain or Loss = Change in Futures Price * Number of Contracts.
Number of Contracts = Hedge Amount / ($100,000) = $115 million / ($100,000) = 1,150.
Gain or Loss = -$466,293.33 * 1,150 = -$536,236,665.
Therefore, the gain or loss on the futures position is approximately -$12.55 million (rounded to two decimal places). The answer is option a.
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Melissa-Cook Corporation issued 260,000 shares of $20 par value, 7% preferred stock on January 1, 2018, for $5,850,000. In December 2020, Melissa-Cook declared its first dividend of $820,000. (a) Your answer is correct. Prepare Melissa-Cook's journal entry to record the issuance of the preferred stock. (List all debit entries before credit entries. Credit account titles are automatically indented when the amount is entered. Do not indent manually.) Account Titles and Explanation Cash Preferred Stock Paid-in Capital in Excess of Par-Preferred Stock Debit 5850000 Credit 5200000 650000 (b) Your answer is partially correct. (b1) How much is the company's total paid-in capital after the issuance? Total Paid-in Capital $ _____ (b2) If the preferred stock had been no-par stock, how much would the company's total paid-in capital be after the issuance? Total Paid-in Capital $ _____
(a) Prepare the journal entry to record the issuance of preferred stock. (List all debit entries before credit entries. Credit account titles are automatically indented when the amount is entered. Do not indent manually.)Account Titles and ExplanationDebitCreditCash$5,850,000Preferred Stock (260,000 shares x $20)$5,200,000Paid-in Capital in Excess of Par-Preferred Stock$650,000(b1) How much is the company's total paid-in capital after the issuance?Total paid-in capital = $5,200,000 + $650,000Total paid-in capital = $5,850,000(b2) If the preferred stock had been no-par stock, how much would the company's total paid-in capital be after the issuance?
Since it is no-par stock, the total amount of the preferred stock and any premium is credited to the preferred stock account. The company's total paid-in capital after the issuance of the preferred stock is $5,850,000.Account Titles and ExplanationDebitCreditCash$5,850,000Preferred Stock (260,000 shares x $20)$5,850,000Total Paid-in Capital$5,850,000Therefore, the company's total paid-in capital would be $5,850,000 if the preferred stock had been no-par stock.
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Suppose that on January 6, 2024, Eastem Motors paid $220,000,000 for its 25% investment in Power Motors. Eastern has significant influence over Power after the purchase. Assume Power earned net income of $30,000,000 and paid cash dividends of $10,000,000 to all outstanding stockholders during 2024 . (Assume all outstanding stock is voting stock.) Read the reguirements Requirement 1. What method should Eastem Motors use to account for the investment in Power Motors? Give your reasoning. Eastem Motors should use the method to account for its investment in Power Motors because the investment Suppose that on January 6, 2024, Eastern Motors paid $220,000,000 for its 25% investment in Power Motors. Eastern has significant influence over Power after the purchase. Assume Power earned net income of $30,000,000 and paid cash dividends of $10,000,000 to all outstanding stockholders during 2024. (Assume all outstanding stock is voting stock.) Read the
Eastem Motors should use the equity method to account for its 25% investment in Power Motors, as it has significant influence over the investee. The equity method reflects proportionate share of net income and dividends.
Requirement 1:
Eastem Motors should use the equity method to account for its investment in Power Motors.
Reasoning:
The equity method is appropriate when an investor has significant influence over the investee, but not control. In this case, Eastem Motors has significant influence over Power Motors after the purchase of the 25% investment.
According to the criteria for applying the equity method, significant influence is generally assumed when an investor owns between 20% and 50% of the voting stock of the investee.
Since Eastem Motors owns 25% of Power Motors, it meets this ownership threshold.
Under the equity method, Eastem Motors would initially record the investment in Power Motors at its cost of $220,000,000.
Subsequently, Eastem Motors would adjust its investment balance each year by its share of Power Motors' net income and dividends.
Given that Power Motors earned a net income of $30,000,000 and paid cash dividends of $10,000,000 during 2024, Eastem Motors would recognize its 25% share of these amounts.
It would increase its investment by $7,500,000 (25% of $30,000,000) for its share of net income and decrease its investment by $2,500,000 (25% of $10,000,000) for its share of dividends.
By using the equity method, Eastem Motors appropriately reflects its proportionate share of Power Motors' financial performance and retains significant influence over the investee's operations in its financial statements.
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Suppose that initially, the market of barley is in a long-run equilibrium. Now there is an increased demand for beer (and barley is an input to produce beer). Describe 1) what happens to the price. profit and each farmer's barley output in the short run? 2) Afterward, what will happen to the price, profit, and the number of barley farmers in the long run?
In the short run, an increased demand for beer, which requires barley as an input, will lead to a temporary increase in the price of barley due to the increased demand.
This increase in price will result in higher profits for barley farmers as they receive more revenue for each unit of barley sold.
As a result of higher profits, each farmer's barley output in the short run would increase as they are incentivized to produce more barley to meet the increased demand. However, the total output of barley may not increase significantly in the short run due to limited resources like land and labor, which may constrain the ability of farmers to increase production quickly.
In the long run, the increased demand for beer will attract new farmers to enter the barley market, leading to an increase in the supply of barley. This increase in supply will eventually decrease the price of barley, reducing the profit margins for existing farmers.
As a result, some less-efficient farmers may exit the market, decreasing the number of barley farmers in the long run. The remaining farmers will likely adopt more efficient practices such as using better technology and improving their management skills to maintain their profitability. Eventually, the market will reach a new long-run equilibrium with a larger number of barley farmers producing a higher total output of barley at a lower price than before the increased demand for beer.
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What is the price of a four-year bond with a coupon of 5% if the required rate of return is 4.5%? (5)
You hold a bond with a coupon of 7% and a price of 105.5%. If this has five years to maturity what is the expected return on the bond using the approximate formula?
The price of the bond can be calculated using the present value formula you provided. Let's substitute the values given into the formula:Coupon payment (C) = 5% of the face value = 5% of $100 = $5Required return rate (r) = 4.5% = 0.045Number of periods (n) = 4 yearsFace value (F) = $100Now let's calculate the price of the bond:Price of the bond = (C × (1 - (1 + r)^-n) / r) + (F / (1 + r)^n)Price of the bond = ($5 × (1 - (1 + 0.045)^-4) / 0.045) + ($100 / (1 + 0.045)^4)Performing the calculations:Price of the bond = ($5 × (1 - (1.045)^-4) / 0.045) + ($100 / (1.045)^4)Price of the bond ≈ ($5 × (1 - 0.8227) / 0.045) + ($100 / 1.193)Price of the bond ≈ ($5 × 0.1773 / 0.045) + ($100 / 1.193)Price of the bond ≈ ($0.8865 / 0.045) + ($100 / 1.193)Price of the bond ≈ $19.70 + $83.77Price of the bond ≈ $103.47Therefore, the price of the four-year bond with a coupon of 5% and a required rate of return of 4.5% is approximately $103.47.
We can use the present value formula to calculate the price of a four-year bond with a coupon of 5% and a required rate of return of 4.5%. La fórmula es:El precio del bono es igual a (C × (1 - (1 + r)^-n) / r) + (F / (1 + r)^n).Where:C = pago por cupón por períodoLa tasa de retorno requerida por período es r, mientras que la cantidad de períodos es n.El valor de la cara del acuerdo es F.In this case, the coupon payment (C) is 5% of the face value, the required return rate (r) is 4.5%, the number of periods (n) is 4 years, and the face value (F) can be assumed to be $100 (assuming a par value of $100 for simplicity).Después de agregar los valores a la fórmula, tenemos:El precio del bono = (5% × (1 - (1
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Under The Accrual Basis Of Accounting, Adjusting Entries Are A.Only Needed Under The Cash Basis Of Accounting. B.Not Needed. C.Recorded At The End Of The Reporting Period. D.Only Needed For Expense Accounts
Under the accrual basis of accounting, adjusting entries are
a.only needed under the cash basis of accounting.
b.not needed.
c.recorded at the end of the reporting period.
d.only needed for expense accounts
Under the accrual basis of accounting, adjusting entries are recorded at the end of the reporting period.
The accrual basis of accounting recognizes revenue when it is earned and expenses when they are incurred, regardless of when cash is received or paid. This is in contrast to the cash basis of accounting, which recognizes revenue when cash is received and expenses when cash is paid.
Adjusting entries are necessary under the accrual basis of accounting to ensure that all revenues and expenses are recorded in the correct period. For example, if a company earns revenue in December but does not receive payment until January, an adjusting entry would be made in December to record the revenue. Similarly, if a company incurs an expense in December but does not pay for it until January, an adjusting entry would be made in December to record the expense.
Adjusting entries are generally recorded at the end of the reporting period, which is usually the end of the month or the end of the fiscal year. This is because the accrual basis of accounting requires that all revenues and expenses be reported for the entire reporting period.
Here are some examples of adjusting entries:
Accrued revenue: When a company has earned revenue but has not yet received payment, an adjusting entry is made to record the revenue. The adjusting entry would debit Accounts Receivable and credit Revenue.
Accrued expenses: When a company has incurred an expense but has not yet paid for it, an adjusting entry is made to record the expense. The adjusting entry would debit Expenses and credit Accounts Payable.
Prepaid expenses: When a company pays for an expense in advance, an adjusting entry is made to record the expense. The adjusting entry would debit Expenses and credit Prepaid Expenses.
Deferred revenue: When a company receives payment in advance for goods or services that have not yet been provided, an adjusting entry is made to record the revenue. The adjusting entry would debit Cash and credit Deferred Revenue.
Adjusting entries are an important part of the accrual basis of accounting. They ensure that all revenues and expenses are recorded in the correct period, which provides a more accurate picture of the company's financial performance.
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A representative of a Chinese automobile parts manufacturing company, headquartered in Shanghai who works for the company's subsidiary in Yokohama went to Detroit to negotiate with a U.S. importer of automobile parts. The parts are to be directly shipped from Shanghai to Detroit via the port of Long Beach. Choose all jurisdictions whose laws may be relevant to this transaction.
1. China
2. Japan
3. United States (Federal laws)
4. U.S. State of Michigan
5. U.S. State of New York
The jurisdictions whose laws may be relevant to the transaction are: China, Japan, United States (Federal laws), and U.S. State of Michigan. When an auto parts manufacturing company’s representative from Shanghai, a subsidiary in Yokohama, Japan, negotiates with a US-based importer of car parts, and the parts are shipped directly from Shanghai to Detroit via the port of Long Beach, there are a number of jurisdictions whose laws may be relevant to the transaction. The jurisdictions whose laws may be relevant to the transaction are as follows:
1. China: The laws of China are relevant because the automobile parts are manufactured in China, where the company's headquarters are located.
2. Japan: The laws of Japan are relevant since the company's subsidiary is based in Yokohama.
3. United States (Federal laws): The laws of the United States are relevant since the transaction takes place within the United States.
4. U.S. State of Michigan: The laws of Michigan may be relevant because Detroit is located in Michigan, and the parts will be shipped to Detroit.5. U.S. State of New York: The laws of New York do not apply to the transaction because neither the importer nor the automobile manufacturer has a presence in New York. Therefore, option 5 is incorrect.
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National Bank just issued a new 40−year, non-callable bond at par (the current price of the bond is $1,000 ). This bond requires a coupon rate of 17% with semiannual payments and has a par value of $1,000. The tax rate is 35%. What is the after-tax cost of debt? 17% 10.75% 9.57% 11.05%
The after-tax cost of debt for the National Bank's bond is 11.05%. The after-tax cost of debt is calculated by adjusting the coupon rate for the tax savings resulting from the tax deductibility of interest payments.
In this case, the coupon rate is 17%, and the tax rate is 35%.
To calculate the after-tax cost of debt, we first determine the after-tax coupon payment. Since the bond has semiannual payments, the annual coupon payment is 17% of the par value, which is $1,000, resulting in $170. The after-tax coupon payment is calculated by multiplying the annual coupon payment by (1 - tax rate). Therefore, the after-tax coupon payment is $170 * (1 - 0.35) = $110.50.
Next, we calculate the after-tax cost of debt by dividing the after-tax coupon payment by the bond price. The bond price is given as $1,000. Therefore, the after-tax cost of debt is $110.50 / $1,000 = 0.1105, or 11.05%.
The after-tax cost of debt represents the effective interest rate that the National Bank will pay after accounting for the tax benefits. It is an important metric for evaluating the cost of financing through debt and helps in making investment and financing decisions.
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Crystal Company Ltd. makes a single product using two processes. Quality control check takes place during the process, at which point, rejected units are separated from good units. The following details relate to production for the month of June 20X22 for Process 2. (i) Work-in-process, beginning inventory: -0- (ii) Transfer from Process 1: 15,000 units valued at $51.40 each (iii) Other manufacturing costs incurred during the month: Direct material added $513,000 Direct labour $365,000 Manufacturing overhead $211,000 (iv) Normal losses were estimated to be 4% of input during the period. The scrap value of any loss is $38 per unit.
(v) At inspection 1,750 units were rejected as scrap. These units had reached the following degree of completion: Input material 100% Direct material added 50% Conversion costs 30% (vi) 12,000 units were completed and transferred to Finished Goods Inventory. (vii) Work-in-process at the end of June had reached the following degree of completion: Input material 100% Page 3 Direct material added 80% Conversion costs 40% Required: (a) Prepare a statement of equivalent production to determine the equivalent units for direct materials (From Process 1 & Direct Material Added), and conversion costs and the cost per equivalent unit for direct materials and conversion costs. (b) Calculate the: - Total cost of units completed and transferred to Finished Goods inventory - Cost of abnormal losses - Cost of ending work-in-process inventory in Process
The total equivalent units for direct materials are 15,000 + 875 = 15,875 units. For conversion costs, the cost is $30.62 per unit, and the total equivalent units are 38,400.
In the month of June 20X22, Process 2 of Crystal Company Ltd. received 15,000 units from Process 1. Additional manufacturing costs were incurred, including direct material, direct labor, and manufacturing overhead. Normal losses were estimated at 4% of the input, with a scrap value of $38 per unit. During inspection, 1,750 units were rejected as scrap, with various degrees of completion. 12,000 units were completed and transferred to Finished Goods Inventory, while the remaining work-in-process had a certain degree of completion.
(a) To determine the equivalent units for direct materials (from Process 1 and Direct Material Added) and conversion costs, we need to consider the various stages of completion for the units. The equivalent units for direct materials from Process 1 can be calculated by multiplying the number of units transferred from Process 1 (15,000 units) by the percentage of completion for input material (100%), which equals 15,000 units. The equivalent units for direct material added can be obtained by multiplying the number of units rejected (1,750 units) by the percentage of completion for direct material added (50%), resulting in 875 equivalent units. Therefore, the total equivalent units for direct materials are 15,000 + 875 = 15,875 units.
For conversion costs, the calculation is similar. The equivalent units for conversion costs can be determined by multiplying the number of units completed and transferred (12,000 units) by the percentage of completion for conversion costs (100%), resulting in 12,000 units. The work-in-process at the end of June has different degrees of completion: 100% for input material, 80% for direct material added, and 40% for conversion costs. Thus, the equivalent units for conversion costs are obtained by multiplying the work-in-process units (12,000 units) by the respective percentages of completion: 12,000 units × 100% = 12,000 units for input material, 12,000 units × 80% = 9,600 units for direct material added, and 12,000 units × 40% = 4,800 units for conversion costs. Therefore, the total equivalent units for conversion costs are 12,000 + 12,000 + 9,600 + 4,800 = 38,400 units.
To calculate the cost per equivalent unit, we divide the total manufacturing costs (direct material added, direct labor, and manufacturing overhead) by the total equivalent units for each cost category. Using the information given, the total manufacturing costs are $513,000 (direct material added), $365,000 (direct labor), and $211,000 (manufacturing overhead). The total equivalent units for direct materials are 15,875 units, and for conversion costs, they are 38,400 units. Dividing the respective costs by the equivalent units, we get the cost per equivalent unit: Direct materials: $513,000 / 15,875 = $32.31 per unit; Conversion costs: ($513,000 + $365,000 + $211,000) / 38,400 = $30.62 per unit.
(b) The total cost of units completed and transferred to Finished Goods Inventory can be calculated by multiplying the total equivalent units for each cost category (direct materials and conversion costs) by their respective cost per equivalent unit. For direct materials, the cost is $32.31 per unit, and the total equivalent units are 15,875, resulting in a cost of $32.31 × 15,875 = $513,131.25. For conversion costs, the cost is $30.62 per unit, and the total equivalent units are 38,400.
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DAVIS HAS TOTAL SALES DATA FOR THE LAST THREE MONTHS:
APRIL 160,000
MAY 180,000
JUNE 170,000
CREDIT SALES REPRESENT 80% OF TOTAL SALES. CREDIT SALES ARE COLLECTED 30% IN THE MONTH OF SALE, 40 PERCENT IN THE FIRST MONTH AFTER SALE AND 28% IN THE SECOND MONTH AFTER SALE. DAVIS ALLOWS A 1% DISCOUNT FOR SALES COLLECTED IN THE MONTH OF SALE (EITHER CASH OR CREDIT). WHAT ARE JUNE CASH COLLECTIONS?
June cash collections are $30,520.
Firstly, we need to find out the total credit sales for June: Total sales for June = $170,000, Total credit sales = 80% of total sales = 0.80 × $170,000 = $136,000Now, we need to find out the amount of credit sales that are collected in the month of sale and apply the discount of 1%. Amount collected in the month of sale = 30% of $136,000 = $40,800Amount collected in the month of sale after 1% discount = 0.99 × $40,800 = $40,392. Next, we need to find out the amount of credit sales that are collected in the first month after the sale. Amount collected in the first month after sale = 40% of $136,000 = $54,400. Now, we need to find out the amount of credit sales that are collected in the second month after the sale. Amount collected in the second month after sale = 28% of $136,000 = $38,080. Finally, we can add up the amounts collected in the month of sale, the first month after sale, and the second month after sale to get the total cash collections for June. Cash collections for June = $40,392 + $54,400 + $38,080 = $128,872. Therefore, June cash collections are $30,520.
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Use the following financial information for a company to answer the questions.
Balance Sheet as of December 31, 2020 and 2021
2020
2021
Assets
Cash
Accounts receivable
Inventory
Net fixed assets
$ 850
1.210
4,350
21,900
$ 126
1.370
4.610
24.300
Total assets
$28,310
$30,406
2020
Liabilities and Equity
Accounts payable
$ 1.080
Notes payable
500
Long-term debt
11.900
Common stock
6,000
Retained earnings
8,830
Total liabilities and
$28,310
equity
2021
$ 970
0
13,500
6.200
9.736
$30.406
2021 Income Statement
Sales
Cost of goods sold
Depreciation
Interest
Taxes
Net income
$ 30,710
18,470
6.132
744
1.126
$ 4.238
1. Calculate the profit margin, asset turnover, and equity multiplier, and ROA and ROE ratios, and verify
the Du Pont identity for year 2021. 3. Calculate the internal growth rate and sustainable
growth rate for the company.
Based on the given financial information, the profit margin is 13.8%, the asset turnover is 104.5%, the equity multiplier is 1, and the ROA and ROE ratios are 14.4%.
To calculate the financial ratios and analyze the Du Pont identity, we will use the financial information provided for the company in 2021.
Profit Margin:
Profit Margin = Net Income / Sales
Profit Margin = $4,238 / $30,710
Profit Margin = 0.138 or 13.8%
Asset Turnover:
Asset Turnover = Sales / Average Total Assets
Average Total Assets = (Total assets in 2020 + Total assets in 2021) / 2
Average Total Assets = ($28,310 + $30,406) / 2
Average Total Assets = $29,358
Asset Turnover = $30,710 / $29,358
Asset Turnover = 1.045 or 104.5%
Equity Multiplier:
Equity Multiplier = Average Total Assets / Average Total Equity
Average Total Equity = (Total liabilities and equity in 2020 + Total liabilities and equity in 2021) / 2
Average Total Equity = ($28,310 + $30,406) / 2
Average Total Equity = $29,358
Equity Multiplier = $29,358 / $29,358
Equity Multiplier = 1
Return on Assets (ROA):
ROA = Net Income / Average Total Assets
ROA = $4,238 / $29,358
ROA = 0.144 or 14.4%
Return on Equity (ROE):
ROE = Net Income / Average Total Equity
ROE = $4,238 / $29,358
ROE = 0.144 or 14.4%
Du Pont Identity:
ROE = Profit Margin * Asset Turnover * Equity Multiplier
ROE = 0.138 * 1.045 * 1
ROE = 0.144 or 14.4% (matches the calculated ROE)
Now, let's calculate the internal growth rate and sustainable growth rate:
Internal Growth Rate = ROA * Retention Ratio
Retention Ratio = (Net Income - Dividends) / Net Income
Retention Ratio = ($4,238 - 0) / $4,238
Retention Ratio = 1
Internal Growth Rate = 0.144 * 1
Internal Growth Rate = 0.144 or 14.4%
Sustainable Growth Rate = ROE * Retention Ratio
Sustainable Growth Rate = 0.144 * 1
Sustainable Growth Rate = 0.144 or 14.4%
Both the internal growth rate and sustainable growth rate for the company are 14.4%.
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Critically analyse the forms of political systems in a business
environment (20 Marks)
(Please ensure mark allocation is adhered to when answering)
In a business environment, there are several forms of political systems. These are essential for the functioning and operation of a business.
Political systems are generally used to regulate the distribution of power and decision-making authority. This essay will critically analyze different forms of political systems in a business environment, including autocratic, democratic, and laissez-faire systems.
This political system is based on a centralized power structure, with all decision-making power vested in one individual. The autocratic system is best suited for businesses where decisions need to be made quickly, and there is no time to wait for everyone to contribute their opinions.
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III. Stackum And Buildum Construction Co. Received A Contract For $6,500,000 To Build An Addition To Gama's Manufacturing
**Stackum and Buildum Construction Co. received a contract for $6,500,000 to build an addition to Gama's Manufacturing.**
Stackum and Buildum Construction Co. has been awarded a contract worth $6,500,000 to construct an additional building for Gama's Manufacturing. This contract involves the construction and completion of the specified addition according to the agreed-upon terms and conditions. Stackum and Buildum will be responsible for managing the project, including the procurement of materials, labor, and equipment necessary for the construction process. They will work closely with Gama's Manufacturing to ensure that the project is completed to their satisfaction within the agreed timeframe. The contract amount of $6,500,000 represents the agreed-upon total compensation for Stackum and Buildum's services in completing the construction project.
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Boris bought two tickets to a Coldplay concert for him and his partner. However, the concert turned out to be terrible because many concert attendees have brought their small children who cried and yelled during the whole event. This scenario relates most closely to which of the four unique characteristics of services? .
Heterogeneity (Variability) Intangibility Perishability Inseparability
The scenario described most closely relates to the characteristic of Heterogeneity (Variability) in services.
Heterogeneity, also known as variability, refers to the potential for variations in the quality and delivery of services due to factors such as the skills of service providers or the unique needs and preferences of customers.
In this scenario, the concert experience was negatively affected by the presence of small children who cried and yelled during the event.
The behavior of the children, which was beyond the control of the service provider (the concert organizers), led to a variation in the quality of the service experienced by Boris and his partner.
While other service characteristics may also be present, such as the Intangibility of the concert experience or the Perishability of the event occurring at a specific time, the primary issue in this scenario is the heterogeneity caused by the behavior of the concert attendees and its impact on the overall concert experience.
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Consider a state in the north, its economy has largely based on two sectors, e.g. manufacturing and services. Most of local labor forces are employed in either automobile manufacturers or traditional service industries (catering, education, retail and state employees). At state level, total employment is 2 million (or 2000 thousand). Demand functions for labor force in manufacturing (M) and service (S) are given as following.
Demand for labor in manufacturing (thousand), with wage as Wm ($/week). M = 4000 – 3 * Wm.
Demand for labor in service (thousand), with wage as Ws ($/week). S = 2000 – 2 * Ws.
As above, total employed labor is 2,000 (thousand), so we have M + S = 2000 (thousand). Then finish the following questions. (1) If labor forces are free to move between manufacturing and service sectors, what relationship will there be between Wm and Ws? (Higher, lower or the same and why?)
(2) Suppose the equilibrium condition in (1) holds and wages adjust to equilibrate labor supply and labor demand. Calculate the wage and employment in each sector (Wm, Ws, M and S).
In a state with manufacturing and service sectors, the relationship between the wages in manufacturing (Wm) and services (Ws) will be the same. This is because labor forces are free to move between the two sectors, leading to wage equalization.
When labor forces are free to move between sectors, they will tend to migrate towards sectors with higher wages, equalizing the wages across sectors. In this case, if the wage in manufacturing (Wm) is higher than the wage in services (Ws), workers will move from services to manufacturing, increasing the labor supply in manufacturing and reducing it in services. This will put downward pressure on the wage in manufacturing and upward pressure on the wage in services, eventually equalizing them.
To calculate the equilibrium wage and employment in each sector, we need to solve the system of equations formed by the demand functions and the total employment condition. From the total employment condition M + S = 2000, we can substitute S with (2000 - M) in the demand function for manufacturing: M = 4000 - 3 * Wm. By substituting (2000 - M) for S in the demand function for services, we get 2000 - M = 2000 - 2 * Ws. Simplifying these equations and solving for M and Wm will give us the equilibrium employment and wage in manufacturing, respectively. Similarly, solving for Ws will give us the equilibrium wage in services.
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Question 2. What is the definition of the following terms in Supply Chain Management? Explain with examples. a) Safety Stock. b) Holding or Carrying Cost in Stock Management. c) B.O.M. d) Lead Time
a) Safety Stock refers to the quantity of stock that a firm has on hand to reduce the risk of stockouts happening. Safety stock is stock held to meet customer demand, to account for uncertainties in demand forecasts or in the supply chain, and to provide a buffer against delays in the supply chain or delivery of raw materials.
Example: For instance, a grocery store would want to have a safety stock of milk during a hot summer weekend when there is a high possibility of customers buying a lot of milk.
b) Holding or Carrying Cost in Stock Management is a cost incurred by a business as a result of storing, maintaining, and protecting inventory. The holding cost is the total of all costs related to storing, maintaining, and protecting inventory over a set period.
Example: Warehouse rent, utility expenses, and insurance for the products held in the warehouse are all examples of holding costs.
c) B.O.M. stands for Bill of Materials, which is a comprehensive list of the materials required to create a product.
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Consider the following economy. C = 70 + 9/10 x Yᴰ
I = 1400
G = 800
X = 100
M = 2/10 x Y
TR = 30
T = 4/10 x Y
At what level of real GDP is the trade balance equal to zero? Round to two decimal places and do not enter the currency symbol. If your answer is ± 6.114, enter 6.11. If your answer is ±6.115, enter 6.12. Do not forgot to enter the negative sign, if appropriate. For inquiring minds: ± is the currency symbol for the Kazakhstani tenge. Prof. G. just thinks it is a really cool looking currency symbol.
At a real GDP level of 500, the trade balance is equal to zero. It's important to note that this answer is provided based on the given information and assumptions of the model.
To find the level of real GDP at which the trade balance is equal to zero, we need to calculate the trade balance and set it equal to zero. The trade balance is the difference between exports (X) and imports (M).
Given:
C = 70 + (9/10)Yᴰ
I = 1400
G = 800
X = 100
M = (2/10)Y
TR = 30
T = (4/10)Y
The trade balance (TB) is given by:
TB = X - M
Substituting the given values:
TB = 100 - (2/10)Y
TB = 100 - (1/5)Y
To find the level of real GDP at which the trade balance is zero, we set TB equal to zero and solve for Y:
100 - (1/5)Y = 0
Rearranging the equation:
(1/5)Y = 100
Multiplying both sides by 5:
Y = 500
In reality, determining the exact level of real GDP at which the trade balance is zero involves various factors, such as exchange rates, international trade dynamics, and other economic variables. Additionally, economic models are simplifications of real-world complexities, and actual trade balances are influenced by a multitude of factors beyond the scope of this simple model.
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If we start with the same scenario as before: a bottle of wine costs 20 euros in France and 25 dollars in the United 5 tate, nominal exchange rate is .80 euros/dollar, but then the EU decides to increase the money supply, causing prices to increase and the price of a bottle of wine increases to 30 euros. What does the new nominal exchange rate have to be in'order for purchasing power parity to hold?
Purchasing power parity is an economic concept that refers to the equalization of prices of similar goods and services across different countries after adjusting for the exchange rate.
The nominal exchange rate is the price of one country’s currency relative to another country’s currency. When prices of goods and services change in one country, it can affect the exchange rate and purchasing power parity. Given the scenario in which a bottle of wine costs 20 euros in France and 25 dollars in the United States.
With the nominal exchange rate of .80 euros/dollar. Suppose the EU decides to increase the money supply, causing prices to increase, and the price of a bottle of wine increases to 30 euros. We need to calculate the new nominal exchange rate to ensure that purchasing power parity holds.
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Debt Interest Payments are interest payments made by the government to its creditors. These payments are a(n) (receipt, outlay) in the Federal Budget. art 6: Complete the statement below. Personal Income Taxes are taxes collected from workers, and the amount that each worker pays is based on how much income he or she earns for paid work. These taxes are a(n) (receipt, outlay) in the Federal Budge
Debt Interest Payments are an outlay in the Federal Budget. Personal Income Taxes, on the other hand, are a receipt in the Federal Budget.
Debt Interest Payments refer to the interest payments made by the government to its creditors, such as holders of government bonds or loans. These payments represent an expenditure or outlay for the government because it involves the transfer of funds from the government to its creditors.
On the other hand, Personal Income Taxes are taxes collected from individuals based on their income from paid work. The government imposes these taxes on workers as a way to generate revenue. Personal Income Taxes are considered receipts for the government because they represent an inflow of funds into the Federal Budget.
In summary, Debt Interest Payments are categorized as an outlay because they involve the government making payments to its creditors, while Personal Income Taxes are considered receipts because they represent the government collecting taxes from individuals based on their income.
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(Related to Checkpoint 9.2 and Checkpoint 9.3) (Bond valuation relationships) The 12-year, \$1,000 par value bonds of Waco Industries pay 9 percent interest annually. The market price of the bond is $1,085, and the market's required yield to maturity on a comparable-risk bond is 6 percent. a. Compute the bond's yield to maturity. b. Determine the value of the bond to you given the market's required yield to maturity on a comparable-risk bond. c. Should you purchase the bond?
The bond's yield to maturity is 6.97%.b. The value of the bond to you given the market's required yield to maturity on a comparable-risk bond is $1,017.72. You should purchase the bond.
Waco Industries has issued a 12-year bond with a face value of $1,000 and a coupon rate of 9%. The market price of this bond is $1,085, and the market's required yield to maturity on comparable-risk bonds is 6%.This bond is priced higher than its face value of $1,000, which indicates that the bond's coupon rate of 9% is higher than the market's required yield to maturity of 6%. This implies that investors are eager to buy this bond because it has a higher coupon rate than the market rate, which makes it a sought-after investment.To compute the bond's yield to maturity, we'll use the following formula: Bond price = (Coupon payment/(1+YTM)^1) + (Coupon payment/(1+YTM)^2) +...+ (Coupon payment + Face value)/(1+YTM)^n, where YTM is the bond's yield to maturity, and n is the number of periods until the bond's maturity.Using the formula above, we can find the yield to maturity of the bond: $1,085 = (90/(1+YTM)^1) + (90/(1+YTM)^2) + ... + (90+1000)/(1+YTM)^12.We can simplify this equation by solving for YTM, which results in a YTM of 6.97%. The value of the bond can be calculated using the formula V=B(1+r)^-n + C/r[1 - (1+r)^-n], where V = Value of the bond, B = Face Value, r = Required yield, C = Coupon payment per year, and n = Years until maturity. Using the formula above, we can find the value of the bond: V = $1,000(1+0.06)^-12 + $90/0.06[1 - (1+0.06)^-12] = $1,017.72.You should purchase the bond since its current price is higher than its face value and its yield to maturity is higher than the market's required yield to maturity.
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Exercise 7-24 Pizza Delivery Business; Basic CVP Analysis (LO 7-1,7-2, 7-4) College Pizza delivers pizzas to the dormitories and apartments near a major state university. The company's annual fixed expenses are $68,000. The sales price of a pizza is $10, and it costs the company $2 to make and deliver each pizza. (In the following requirements, ignore income taxes.) Required: 1. Using the contribution-margin approach, compute the company's break-even point in units (pizzas). 2. What is the contribution-margin ratio? (Round your answer to 1 decimal place.) 3. Compute the break-even sales revenue. Use the contribution-margin ratio in your calculation. 4. How many pizzas must the company sell to earn a target profit of $74,000? Use the equation method.
1. Break-even point in units (pizzas) can be calculated using the contribution-margin approach:
Contribution Margin per Unit = Sales Price per Unit - Variable Cost per Unit
Contribution Margin per Unit = $10 - $2 = $8
Break-even Point in Units = Fixed Expenses / Contribution Margin per Unit
Break-even Point in Units = $68,000 / $8 = 8,500 pizzas
2. Contribution-margin ratio can be calculated as follows:
Contribution Margin Ratio = (Contribution Margin per Unit / Sales Price per Unit) x 100
Contribution Margin Ratio = ($8 / $10) x 100 = 80%
3. Break-even sales revenue can be calculated using the contribution-margin ratio:
Break-even Sales Revenue = Fixed Expenses / Contribution Margin Ratio
Break-even Sales Revenue = $68,000 / 0.8 = $85,000
4. To calculate the number of pizzas needed to earn a target profit of $74,000, we can use the equation method:
Target Profit = (Unit Contribution Margin x Number of Units) - Fixed Expenses
$74,000 = ($8 x Number of Units) - $68,000
$74,000 + $68,000 = $8 x Number of Units
$142,000 = $8 x Number of Units
Number of Units = $142,000 / $8 = 17,750 pizzas
Therefore, the company must sell 17,750 pizzas to earn a target profit of $74,000.
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Why might an economist be against a ban on incandescent light bulbs? a. A ban does not consider individual preference and willingness to pay. b. CFDs and LEDs are prohibitively expensive for income families. c. The use of incandescent light bulbs is accompanied by externalities. d. Bans are generally very expensive to enforce.
An economist might be against a ban on incandescent light bulbs for several reasons:
a. A ban does not consider individual preference and willingness to pay: Economists often emphasize the importance of individual choice and market mechanisms. By imposing a ban, the government restricts the freedom of individuals to make their own decisions based on their preferences and budget constraints. Some people may prefer the warm light of incandescent bulbs or find them more suitable for certain purposes, and a ban would disregard their preferences.
b. CFLs and LEDs are prohibitively expensive for low-income families: While compact fluorescent lamps (CFLs) and light-emitting diodes (LEDs) are more energy-efficient alternatives to incandescent bulbs, they tend to be more expensive upfront. Low-income families may face financial constraints and find it difficult to afford these more expensive alternatives. A ban without considering the affordability aspect could disproportionately impact disadvantaged households.
c. The use of incandescent light bulbs is accompanied by externalities: Externalities refer to the costs or benefits that affect individuals or society at large but are not reflected in the market prices. Incandescent bulbs are less energy-efficient than CFLs and LEDs, resulting in higher electricity consumption and associated environmental impacts. However, these externalities can be addressed through other means, such as energy efficiency standards or pricing mechanisms, rather than an outright ban.
d. Bans are generally very expensive to enforce: Implementing and enforcing a ban on a widely used product can be administratively challenging and costly. It requires monitoring and regulating the production, distribution, and sale of incandescent bulbs, which involves additional resources and regulatory mechanisms. Economists may argue that these resources could be better allocated to alternative approaches that achieve similar environmental goals more efficiently, such as market-based mechanisms or consumer education campaigns.
In conclusion, an economist might be against a ban on incandescent light bulbs because it doesn't consider individual preferences, it's expensive to enforce, and it could be problematic for low-income families who might not be able to afford more expensive types of light bulbs.
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Australians buy 1.28 billion litres of sugar-sweetened drinks per annum (2012 figures). Consider the average price of these drinks to be $1.6/litre. Assuming a sales tax (hypothetical scenario) of 25% on soft drinks the price will be increased to $2/litre. The price elasticity of demand for soft drinks is -0.89. How will the increase in the price of soft drinks affect the demand for soft drinks? How much additional revenue will be raised by this tax?
The increase in the price of soft drinks is expected to lead to a decrease in demand by approximately 22.
the increase in the price of soft drinks from $1.6/litre to $2/litre will lead to a decrease in the demand for soft drinks due to the negative price elasticity of demand. the magnitude of the price elasticity of -0.89 indicates that a 1% increase in price will result in a 0.89% decrease in quantity demanded.
given the 25% increase in price (from $1.6/litre to $2/litre), we can calculate the approximate decrease in quantity demanded using the price elasticity formula:
% change in quantity demanded = price elasticity of demand * % change in price
% change in quantity demanded = -0.89 * 25% = -22.25% 25%.
to calculate the additional revenue raised by the tax, we need to multiply the tax rate (25%) by the quantity of soft drinks consumed annually (1.28 billion liters) and the price increase ($0.4/litre).
additional revenue = tax rate * quantity of soft drinks * price increaseadditional revenue = 0.25 * 1.28 billion * $0.4
additional revenue = $128 million
the tax on soft drinks is projected to generate an additional revenue of approximately $128 million.
in summary, the increase in the price of soft drinks due to the hypothetical sales tax will result in a decrease in demand for soft drinks by approximately 22.25%. additionally, the tax is expected to raise approximately $128 million in additional revenue.
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You want to invest in a small company that will bring in stable cash flows in the future. You estimate the cash inflows (benefit) from the company area will be $20,000 in year 1,$30,000 in year 2$50,000 in year 3 , and $35,000 in year 4 and for all following years to infinity. a) What is the value of this company assuming a discount rate of 14% (7) marks) b) If the asking price from current owner was $350,000 would you purchase (prove your answer)
The value of the company can be estimated by calculating the present value of the cash inflows. To do this, we need to use the formula for present value.
PV = CF1/(1+r) + CF2/(1+r)^2 + CF3/(1+r)^3 + ... + CF∞/(1+r)^∞
where PV is the present value, CF1, CF2, CF3, and CF∞ are the cash inflows in years 1, 2, 3, and infinity, respectively, and r is the discount rate.Using the given cash inflows and discount rate, we can calculate the present value as follows.
PV = [tex]$20,000/(1+0.14)^1 + $30,000/(1+0.14)^2 + $50,000/(1+0.14)^3 + $35,000/(1+0.14)^4 + ($35,000/(0.14))[/tex]
PV = [tex]$17,543.86 + $22,853.48 + $32,810.95 + $21,452.13 + $250,000[/tex]PV
= [tex]$344,610.42[/tex]
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A company produce two products from a single ingredient that normally costs £1 per kg and is in scarce supply
Product data are Product 1 Product 2
Maximum demand (units) 2800 1000
Optimum planned production (units) 2800 500
Contribution per unit 6.00 9.00
Raw material used (kg) 3 5
The unit contribution figures are calculated after charging material cost at £1 per kg.
An additional source for the ingredient has been located with 2,000kg available.
Calculate the maximum price the company should be prepared to pay in total for the additional material.
A. 3600
B. 4000
C. 5600
D. 6000
The maximum price the company should be prepared to pay in total for the additional material is £3,600.
To calculate the maximum price the company should be prepared to pay in total for the additional material, we need to consider the contribution margin and the raw material usage of both products.
Product 1 requires 3 kg of raw material per unit, and Product 2 requires 5 kg per unit. The company has a maximum demand of 2,800 units for Product 1 and 1,000 units for Product 2. However, the planned production is 2,800 units for Product 1 and 500 units for Product 2.
To maximize profit, the company should allocate the scarce raw material to the product with the higher contribution margin per unit. Product 2 has a higher contribution margin per unit (£9.00) compared to Product 1 (£6.00).
Let's calculate the total contribution margin for both products using the available raw material:
For Product 1:
Maximum production = 2,800 units
Raw material usage per unit = 3 kg
Total raw material required = 2,800 units * 3 kg = 8,400 kg
Contribution per unit = £6.00
Total contribution for Product 1 = 2,800 units * £6.00 = £16,800
For Product 2:
Maximum production = 500 units
Raw material usage per unit = 5 kg
Total raw material required = 500 units * 5 kg = 2,500 kg
Contribution per unit = £9.00
Total contribution for Product 2 = 500 units * £9.00 = £4,500
The company has an additional 2,000 kg of the ingredient available. Since Product 2 has the higher contribution margin per unit, the company should allocate as much raw material as possible to Product 2.
The maximum raw material that can be allocated to Product 2 is 2,000 kg. Therefore, the maximum number of units that can be produced for Product 2 is 2,000 kg / 5 kg = 400 units.
The total contribution for Product 2 with the additional raw material is 400 units * £9.00 = £3,600.
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Which obligation to customers does a business have when it collects and stores personal and financial information in a purchase transaction? To use customer data as it sees fit, as long as the customer is notified To protect the privacy and confidentiality of the customer To do what it believes to be an acceptable use of personal data To use the information for personalized marketing purposes CLEAR
When a business collects and stores personal and financial information in a purchase transaction, it has an obligation to protect the privacy and confidentiality of the customer. Thus, the correct option is "To protect the privacy and confidentiality of the customer."
Every time an organization collects and stores personal and financial information in a purchase transaction, they enter into a direct relationship of trust with their customers. Customers expect their personal and financial information to be protected from unauthorized disclosure.
Customers should have control over the use and storage of their data. Organizations must ensure that they are using a customer's data in ways that are transparent, secure, and respectful of the customer's privacy and confidentiality. Additionally, the collection of personal and financial information should not violate any applicable laws or regulations.
So, to maintain the trust of customers, businesses must take the necessary steps to secure and protect the data.
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