Recall the definition of zero-rate for maturity T as
the continuously compounded rate of interest earned on an
investment that provides a payoff only at time T.

Answers

Answer 1

It is fundamental concept in the field of finance and is used in various financial instruments, such as bonds, swaps, and derivatives.

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Answer 2

The definition of zero-rate for maturity T is that the continuously compounded rate of interest earned on an investment that provides a payoff only at time T.

Zero rates are rates of interest that are set at zero or near zero by the central banks. The zero rate is intended to promote the growth of investment by companies and consumers by minimizing the costs of borrowing. Furthermore, it is intended to motivate individuals and organizations to invest and spend, which should help to boost economic growth and employment.

Zero rates may also be used to promote spending and investment by companies and individuals by minimizing the costs of borrowing and saving, making it simpler for them to obtain credit and invest in capital projects. The zero rate for maturity T is defined as the continuously compounded interest rate earned on an investment that provides a payoff only at time T.

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Related Questions

III. Stackum And Buildum Construction Co. Received A Contract For $6,500,000 To Build An Addition To Gama's Manufacturing

Answers

**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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What is the best alternative scheduling jpproach to use if a hocels barquet manager has an infrequent need for a very large number of banguet servers?

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The best alternative scheduling approach would be to employ a flexible staffing strategy by utilizing on-call or temporary banquet servers, allowing the hotel's banquet manager to meet the occasional high demand efficiently.

When a hotel's banquet manager has an infrequent need for a large number of banquet servers, maintaining a full-time staff solely for those occasions can be inefficient and costly. Instead, adopting a flexible staffing strategy becomes advantageous. By utilizing on-call or temporary banquet servers, the hotel can quickly scale up the workforce to meet the high demand during peak periods, such as weddings or conferences. This approach offers several benefits. Firstly, it eliminates the need for unnecessary expenses associated with maintaining a larger permanent staff. Secondly, it provides greater flexibility in adapting to changing demand patterns, ensuring that the hotel efficiently allocates resources when necessary. Lastly, it allows the hotel to access a pool of skilled individuals who are available on an as-needed basis, reducing recruitment and training efforts.

Overall, employing on-call or temporary banquet servers as part of a flexible staffing strategy is the best alternative scheduling approach for managing infrequent, large-scale banquet events efficiently.

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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.

Answers

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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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 $ _____

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(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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Holding risk constant, the implementation of projects with a rate of return above the cost of capital will decrease the value of a firm, and vice versa. 00 True False

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Holding risk constant, the implementation of projects with a rate of return above the cost of capital will decrease the value of a firm, and vice versa is false

The statement is incorrect. Implementing projects with a rate of return above the cost of capital will increase the value of a firm, not decrease it. The cost of capital represents the minimum rate of return required by investors to invest in a project. If a project generates a return higher than the cost of capital, it creates value for the firm by exceeding the expectations of investors. This leads to an increase in the firm's overall value.

In financial terms, the value of a firm is determined by the present value of its expected future cash flows. Projects with a rate of return above the cost of capital contribute positively to these cash flows and therefore increase the overall value of the firm. On the other hand, projects with a rate of return below the cost of capital would decrease the value of the firm as they do not meet the required return threshold.

Implementing projects with a rate of return above the cost of capital generally increases the value of a firm.

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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

Answers

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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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?

Answers

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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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

Answers

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

Answers

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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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.

Answers

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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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

Answers

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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A court of appeal will hear new testimony to prevent justice?
True or False

Answers

The statement is False. In a court of appeal, new testimony is generally not heard.

The purpose court of appeal is to review the legal proceedings and the application of the law in the previous trial, rather than reevaluating the facts or introducing new evidence.

The appellate court's role is to assess whether there were any errors of law or procedural irregularities that may have affected the outcome of the trial.

Typically, new evidence or testimony is not allowed in the appellate court unless there are exceptional circumstances, such as newly discovered evidence that could not have been reasonably presented during the original trial.

However, even in such cases, the standards for introducing new evidence in an appeal are stringent, and it is rare for new evidence to be considered.

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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?

Answers

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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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).

Answers

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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Suppose your firm is considering investing in a project with the cash flows shown as follows, that the required rate of return on projects of this risk class is 11 percent, and that the maximum allowable payback and discounted payback statistics for your company are 3 and 3.5 years, respectively. Time 0 1 2 3 4 5 Cash Flow -$175,000 -$65,800 $94,000 $41,000 $122,000 $81,200 Using the project cash flows above, calculate each decision statistic. For each decision statistic state whether the project should be accepted or rejected. a. Payback b. Discounted payback c. NPV d. IRR e. MIRR f. PI

Answers

Let's calculate each decision statistic for the given project cash flows and evaluate whether the project should be accepted or rejected based on each criterion:

a. Payback:

To calculate the payback period, we sum the cash flows until they equal or exceed the initial investment.

Payback = Year of Last Negative Cash Flow + (Remaining Cash Flow / Cash Flow in Next Year)

Year 0: -$175,000

Year 1: -$65,800

Year 2: $94,000

Year 3: $41,000

Year 4: $122,000

Year 5: $81,200

Payback = 2 + (94,000 / 41,000)

Payback ≈ 2 + 2.2927

Payback ≈ 4.2927 years

The payback period for the project is approximately 4.2927 years.

b. Discounted Payback:

To calculate the discounted payback period, we sum the discounted cash flows until they equal or exceed the initial investment.

Discounted Payback = Year of Last Negative Discounted Cash Flow + (Remaining Discounted Cash Flow / Discounted Cash Flow in Next Year)

Discount Rate (Required Rate of Return) = 11%

Year 0: -$175,000 / (1 + 0.11)^0 = -$175,000

Year 1: -$65,800 / (1 + 0.11)^1 = -$59,009.01

Year 2: $94,000 / (1 + 0.11)^2 = $70,501.98

Year 3: $41,000 / (1 + 0.11)^3 = $27,241.16

Year 4: $122,000 / (1 + 0.11)^4 = $71,316.28

Year 5: $81,200 / (1 + 0.11)^5 = $42,990.53

Discounted Payback = 3 + (71,316.28 / 42,990.53)

Discounted Payback ≈ 3 + 1.6607

Discounted Payback ≈ 4.6607 years

The discounted payback period for the project is approximately 4.6607 years.

c. NPV (Net Present Value):

To calculate the NPV, we discount all the cash flows to their present values and subtract the initial investment.

NPV = Sum of (Cash Flow / (1 + Discount Rate)^Time) - Initial Investment

Discount Rate (Required Rate of Return) = 11%

NPV = (-$175,000 / (1 + 0.11)^0) + (-$65,800 / (1 + 0.11)^1) + ($94,000 / (1 + 0.11)^2) + ($41,000 / (1 + 0.11)^3) + ($122,000 / (1 + 0.11)^4) + ($81,200 / (1 + 0.11)^5) - $175,000

NPV ≈ -$10,635.84

The NPV for the project is approximately -$10,635.84. Since the NPV is negative, the project should be rejected.

d. IRR (Internal Rate of Return):

IRR is the discount rate that makes the NPV equal to zero. We can use trial and error or a financial calculator to find the IRR.

Using trial and error or a financial calculator, the IRR is approximately 13.2%.

Since the IRR (13.2%) is higher than the required rate of return (11%), the project should

be accepted.

e. MIRR (Modified Internal Rate of Return):

MIRR adjusts for potential reinvestment of cash flows at a specified rate of return. Let's assume a reinvestment rate of 10% for this calculation.

MIRR = [(Future Value of Positive Cash Flows / Present Value of Negative Cash Flows)^(1/Number of Periods)] - 1

Future Value of Positive Cash Flows = $122,000 + $81,200 = $203,200

Present Value of Negative Cash Flows = -$175,000

MIRR = [($203,200 / -$175,000)^(1/5)] - 1

MIRR ≈ 0.0964 or 9.64%

Since the MIRR (9.64%) is lower than the required rate of return (11%), the project should be rejected.

f. PI (Profitability Index):

PI is the ratio of the present value of cash inflows to the present value of cash outflows.

PI = (Present Value of Positive Cash Flows / Present Value of Negative Cash Flows)

Present Value of Positive Cash Flows = $70,501.98 + $27,241.16 + $71,316.28 + $42,990.53 = $211,049.95

Present Value of Negative Cash Flows = -$175,000

PI = $211,049.95 / -$175,000

PI ≈ -1.20

Since the PI is less than 1, the project should be rejected.

Based on the various decision statistics:

a. Payback: Accept (Payback period of approximately 4.2927 years)

b. Discounted Payback: Accept (Discounted payback period of approximately 4.6607 years)

c. NPV: Reject (NPV of approximately -$10,635.84)

d. IRR: Accept (IRR of approximately 13.2%)

e. MIRR: Reject (MIRR of approximately 9.64%)

f. PI: Reject (PI of approximately -1.20)

In conclusion, the project should be rejected based on the NPV, MIRR, and PI criteria, while it should be accepted based on the payback and IRR criteria.

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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.

Answers

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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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?

Answers

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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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.

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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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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?

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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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(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?

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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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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

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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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Thinking about Tim Hortons, how might the company you choose use the various segmentation strategies to target YOU as a customer?

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To target me as a customer, Tim Hortons could use various segmentation strategies, including demographic segmentation, psychographic segmentation, and behavioral segmentation.

By understanding my demographic characteristics, preferences, and behaviors, Tim Hortons can tailor its marketing efforts and offerings to meet my specific needs and preferences.

As a customer, Tim Hortons could utilize demographic segmentation to target me based on factors such as age, gender, income, and occupation.

For example, if I am a student, they might offer special discounts or promotions targeted towards students.

Psychographic segmentation could be used to understand my values, lifestyle, and personality traits. If I value convenience and a fast-paced lifestyle, Tim Hortons could emphasize its quick-service and on-the-go options.

Behavioral segmentation could also be employed to target me based on my specific buying behavior and preferences.

For instance, if I frequently purchase coffee in the morning, Tim Hortons could offer loyalty programs or personalized discounts to encourage repeat purchases.

They might also analyze my past purchases to understand my preferences and recommend relevant products or customization options.

By utilizing these segmentation strategies, Tim Hortons can effectively target me as a customer by tailoring their marketing messages, product offerings, and promotions to align with my demographics, psychographics, and behaviors.

This personalized approach can enhance my overall customer experience and increase my loyalty towards the brand.

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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

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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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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

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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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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%

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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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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

Answers

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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On June 1, 2020, Jill Bow and Aisha Adams formed a partnership to open a gluten-free commercial bakery, contributing $293.000 cash and $386,000 of equipment, respectively. The partnership also assumed responsibility for a $53.000 note payable associated with the equipment. The partners agreed to share profits as follows: Bow is to receive an annual salary allowance of $163,000, both are to receive an annual interest allowance of 5% of their original capital investments, and any remaining profit or loss is to be shared 40/60 (to Bow and Adams, respectively). On November 20, 2020, Adams withdrew cash of $113,000. At year-end May 31, 2021, the Income Summary account had a credit balance of $510,000. On June 1, 2021, Peter Williams invested $133,000 and was admitted to the partnership for a 20% interest in equity. Prepare journal entries.

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On June 1, 2020, Jill Bow and Aisha Adams formed a partnership to open a gluten-free commercial bakery, contributing $293,000 in cash and $386,000 in equipment, respectively.

The partnership also assumed responsibility for a $53.000 note payable associated with the equipment. The partners agreed to share profits as follows: Bow is to receive an annual salary allowance of $163,000, both are to receive an annual interest allowance of 5% of their original capital investments, and any remaining profit or loss is to be shared 40/60 (to Bow and Adams, respectively).On November 20, 2020, Adams withdrew cash of $113,000.At year-end May 31, 2021, the Income Summary account had a credit balance of $510,000.On June 1, 2021, Peter Williams invested $133,000 and was admitted to the partnership for a 20% interest in equity. The solution to the problem is: Journal entries are the basis of the accounting process. The journal entry is the process of recording a transaction in the journal. The journal is the book of original entry in which the date, the person or thing debited and the person or thing credited are recorded.

Journal entries for the given transactions are as follows:

June 1, 2020 (Investment by Jill Bow and Aisha Adams)Cash A/c Dr. $293,000

Equipment A/c Dr. $386,000

To Note Payable A/c $53,000

To Jill Bow Capital A/c $235,000

To Aisha Adams Capital A/c $386,000 (Being investment made by Jill Bow and Aisha Adams)

November 20, 2020 (Withdrawal by Aisha Adams)Aisha Adams Capital A/c Dr. $113,000

To Cash A/c $113,000 (Being withdrawal made by Aisha Adams)

31st May 2021 (Profit distribution)Income Summary A/c Dr. $510,000

To Jill Bow Capital A/c $204,000

To Aisha Adams Capital A/c $306,000 (Being profit distribution made to Jill Bow and Aisha Adams)

June 1, 2021 (Investment made by Peter Williams)Cash A/c Dr. $133,000

To Peter Williams Capital A/c $133,000 (Being investment made by Peter Williams)

So, the journal entries for the given transactions are as follows:

June 1, 2020: Cash A/c Dr. $293,000,

Equipment A/c Dr. $386,000,

Note Payable A/c $53,000,

Jill Bow Capital A/c $235,000,

Aisha Adams Capital A/c $386,000

November 20, 2020:

Aisha Adams Capital A/c Dr. $113,000,

Cash A/c $113,000

31st May 2021:

Income Summary A/c Dr. $510,000,

Jill Bow Capital A/c $204,000,

Aisha Adams Capital A/c $306,000

June 1, 2021:

Cash A/c Dr. $133,000,

Peter Williams Capital A/c $133,000.

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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)

Answers

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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Critically analyse the forms of political systems in a business
environment (20 Marks)
(Please ensure mark allocation is adhered to when answering)

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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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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

Answers

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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The Fifth Circuit stated, " the ETS exposes employers to severe financial risk if they refuse or fail to comply, and threatens to decimate their workforce's (and business prospects) by forcing unwilling employees to take their shots, take their tests, or hit the road."All pending appeals throughout the United States were transferred to the Sixth Circuit where a 2-1 decision overturned the stay. This decision was appealed to the United States Supreme Court and on January 7, 2022, the United States Supreme heard oral arguments regarding challenges to the COVID-19 vaccine mandates. If you have the time, I highly encourage each one of you to listen to the oral arguments in their entirety. It will be a landmark decision for generations to come.If allowed to take effect, the mandate would force every private business with 100 or more employees to require proof of a negative COVID-19 test on at least a weekly basis or proof of vaccination from each worker. The decision will also affect approximately 17 million health care workers at facilities receiving Medicaid and Medicare funding.The Supreme Court has made its decision. How did they rule? Read the opinion attached below and then participate in the Discussion Board.Please discuss the following with your classmates: (At Least 300 Words)1. Should a government agency (OSHA) un-elected by the American people have the power to mandate your bodily autonomy and privacy in a manner that will affect you both inside and outside of the workplace long after you have left your job?2. Given that we now know that the COVID-19 vaccine does not prevent you from getting infected with COVID-19 or from spreading the infection and that the recovery rate for most is over 99% do you think an ETS is warranted? how does isostatic rebound affect a glacial landscape after the glacier is removed? How does technology affect Human Resourcemanagement?Compare training and employeedevelopment.( 8 sentences or more) what is a facet? generally, where is this structure found? Last name starts with K or L: Factor 7m + 6m-1=0 (c) A sector of a circle of radius r and centre O has an angle of radians. Given that r increases at a constant rate of 8 cms-1. Calculate, the rate of increase of the area of the sector when r = 4cm. ke) Solve the following system by Gauss-Jordan elimination. 21+3x2+9x3 23 10x1 + 16x2+49x3= 121 NOTE: Give the exact answer, using fractions if necessary. Assign the free variable zy the arbitrary value t. 21 = x = 0/1 E One mechanic services 4 drilling machines for a steel plate manufacturer . Machines break down on an average of once every 8 working days , and breakdowns tend to follow a Poisson distribution . The mechanic can handle an average of one repair job per day . Repairs follow a negative exponential distribution . a ) On the average , how many machines are waiting for service ? The average number of machines waiting for service is .143 . ( Round your response to three decimal places . ) b ) On the average , what is the waiting time to be serviced ? The average waiting time to be serviced is .11 days . ( Round your response to two decimal places . )