Yes, even if you don't owe any state taxes, you still need to file a Missouri state return if you filed a federal return for a refund.
Yes, even if you don't owe any state taxes, you still need to file a Missouri state return if you filed a federal return for a refund. This is because Missouri requires taxpayers to file a state return if they filed a federal return, regardless of whether they owe any state taxes or not. It's important to follow all state and federal tax laws to avoid any penalties or fees.
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2000 2001 2002
Current Assets
Cash 20,000 21,000 24,000
Short term Investment 60,000 81,000 145,000
A/R 100,000 90,000 140,000
Inventories 14,000 17,000 15,000
Prepaid Exp 13,000 12,000 14,000
Total Current Assets 207,000 221,000 338,000
Investment 43,000 35,000 40,000
Property and Equipment
Land 68,500 68,500 68,500
Building 810,000 850,000 880,000
Furniture and Equipment 170,000 190,000 208,000
1,048,500 1,108,500 1,156,500
Less: Accumulated Depreciation 260,000 320,000 381,000
Other Operationg Equipment 11,500 20,500 22,800
Total Assets 1,050,000 1,065,000 1,176,300
Current Liabilities
Accounts Payable 60,000 53,500 71,000
Accrued Income Taxes 30,000 32,000 34,000
Accured Expenses 70,000 85,200 85,000
Current Portion of Long-term debt 25,000 21,500 24,000
Total Current Liabilities 185,000 192,200 214,000
Long-term Debt
Mortgage Payable 425,000 410,000 400,000
Deferred Income Taxes 40,000 42,800 45,000
Total Long-term Debt 465,000 452,800 445,000
Total Liabilities 650,000 645,000 659,000
Owner's Equity
Common Stock 55,000 55,000 55,000
Paid-in Capital in Excess 110,000 110,000 110,000
Retained Earnings 235,000 255,000 352,300
Total Owner's Equity 400,000 420,000 517,300
Total Liabilities and Equity 1,050,000 1,065,000 1,176,300
1) Amount Change and % change from Year 2000 to Year2001
2) Current ratio, Acid Test Ratio, A/R turn-over, Avg collection period, Solvency Ratio, profit ratio for Year2001)
( Assume the 2002 Revenue 1,300,000, profit is 65,000 ) Operating Cash flow is 201,000.
1)From 2000 to 2001, the company's total assets increased by $15,000 or 1.43%. The total current assets increased by $14,000 or 6.76%, with short-term investments showing the largest increase. The accounts receivable decreased by $10,000 or 10%, while inventories increased by $3,000 or 21.4%. The company's total liabilities increased by $5,000 or 0.77%, with current liabilities showing the largest increase. The owner's equity increased by $20,000 or 5%.
2)Current Ratio = $221,000 / $192,200 = 1.15
Acid Test Ratio = 1.16
Accounts Receivable Turnover = 13.68 times
Average Collection Period = 26.67 days
Solvency Ratio = 1.65
Profit Ratio = 0.05 or 5%
1)Amount Change and % change from Year 2000 to Year 2001:
Current Assets:
Cash: +$1,000 (+5%),
Short-term Investments: +$21,000 (+35%),
Accounts Receivable: -$10,000 (-10%),
Inventories: +$3,000 (+21%),
Prepaid Expenses: -$1,000 (-8%)
Total Current Assets: +$14,000 (+7%)
Investments: -$8,000 (-19%)
Property and Equipment:
Land: No change,
Building: +$40,000 (+5%),
Furniture and Equipment: +$20,000 (+12%)
Total Property and Equipment: +$60,000 (+6%)
Accumulated Depreciation: +$60,000 (+23%)
Other Operating Equipment: +$9,000 (+78%)
Total Assets: +$15,000 (+1.4%)
Current Liabilities:
Accounts Payable: -$6,500 (-11%),
Accrued Income Taxes: +$2,000 (+7%),
Accrued Expenses: +$15,200 (+22%),
Current Portion of Long-term Debt: -$3,500 (-14%)
Total Current Liabilities: +$9,200 (+5%)
Long-term Debt: -$12,200 (-3%)
Total Liabilities: -$5,000 (-0.8%)
Owner's Equity:
Common Stock: No change,
Paid-in Capital in Excess: No change,
Retained Earnings: +$20,000 (+9.6%)
Total Owner's Equity: +$20,000 (+5%)
Total Liabilities and Equity: +$15,000 (+1.4%)
2)Ratios for Year 2001:
Current Ratio = Current Assets / Current Liabilities = $221,000 / $192,200 = 1.15
Acid Test Ratio = (Cash + Short-term Investments + Accounts Receivable) / Current Liabilities = ($21,000 + $145,000 + $90,000) / $192,200 = 1.16
Accounts Receivable Turnover = Net Credit Sales / Average Accounts Receivable = Net Sales / [(Beginning Accounts Receivable + Ending Accounts Receivable) / 2] = $1,300,000 / (($100,000 + $90,000) / 2) = 13.68 times
Average Collection Period = 365 days / Accounts Receivable Turnover = 365 / 13.68 = 26.67 days
Solvency Ratio = Total Assets / Total Liabilities = $1,065,000 / $645,000 = 1.65
Profit Ratio = Net Income / Net Sales = $65,000 / $1,300,000 = 0.05 or 5%
Operating Cash Flow is not needed to calculate these ratios.
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The auditors' information source for validating the bank reconciliation items is typically a ______, which is a complete bank statement including all paid checks and deposit slips. The client requests the bank to send this bank statement directly to the auditor. It is usually for a 10- to 20-day period following the date of the financial statements.
The auditors' information source for validating the bank reconciliation items is typically a complete bank statement, which includes all paid checks and deposit slips. The bank statement serves as the foundation for the bank reconciliation process.
The auditors use the bank statement to compare the transactions listed in the client's records to the transactions that have been processed by the bank. This comparison helps the auditors identify any discrepancies and determine whether the bank balance in the client's records matches the bank's actual balance.
To ensure the accuracy of the bank statement, the client requests the bank to send it directly to the auditor. This minimizes the risk of the client altering the bank statement or withholding information that may impact the reconciliation process.
The bank statement typically covers a 10- to 20-day period following the date of the financial statements. This ensures that the bank statement includes all transactions that have been processed by the bank up to the date of the financial statements.
The deposit slips are important reconciliation items that the auditors use to verify the accuracy of the bank's deposit transactions. The deposit slips provide details on the amount, date, and source of the deposits made by the client.
The auditors compare the information on the deposit slips to the client's records to ensure that all deposits have been recorded accurately. If there are any discrepancies between the deposit slips and the client's records, the auditors may need to perform additional procedures to determine the cause of the discrepancy.
Overall, the bank statement and deposit slips are crucial sources of information for the auditors when validating the reconciliation items. These items help the auditors determine the accuracy of the client's bank balances and identify any potential errors or irregularities that may impact the financial statements.
A comprehensive bank statement, which contains bank Reconciliation copies of all paid checks and deposit slips, is normally the auditors' information source for verifying the bank reconciliation items.
The basis for the bank reconciliation procedure is the bank statement..The bank statement is used by the auditors to compare the transactions reported in the client's records to the transactions that the bank has actually processed.
The auditors can see any differences and assess whether the bank balance listed in the client's records corresponds to the real balance of the bank using this comparison. The client asks the bank to provide the bank statement directly to the auditor in order to guarantee its accuracy. By doing this, the chance that the customer may alter the bank statement or omit information that could affect the reconciliation process is reduced. The auditors utilise the deposit slips as significant reconciliation materials to check the accuracy of the bank's deposit activities.
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after a company recognizes a need, it develops product ______ that potential suppliers can use to develop their proposals to supply the product.
After a company recognizes a need, it develops product specifications that potential suppliers can use to develop their proposals to supply the product.
A product spec is a blueprint that describes the product you will be creating, including the features it will have and the requirements it must meet. It could also mention the user or identity for whom it is being created.
This specification must contain all the details your design team and product team members require and be very clear and simple to understand. Provide as much detail as you can so that your product team's understanding of the specs is not hindered.
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After a company recognizes a need, it develops product specifications that potential suppliers can use to develop their proposals to supply the product. A product spec is a blueprint that describes the produc.
you will be creating, including the features it will have and the requirements it must meet. It could also mention the user or identity for whom it is being created. This specification must contain all the details your design team and product team members require and be very clear and simple to understand. Provide as much detail as you can so that your product team's understanding of the specs is not hindered.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
According to the question of equation, the first statement is true. The second statement is false. The third statement is false. The fourth statement is true. The fifth statement is false.
What is equation?Equation is a mathematical statement that expresses the equality of two expressions by using symbols. It typically consists of an equal sign and two expressions or terms that are linked by the equal sign. These expressions or terms can contain numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations are used to describe physical phenomena and solve problems.
The radius of the circle is 3 units because the equation can be rearranged to (x – 1)² + y² = 3, which is the standard form of a circle. The center of the circle lies at the point (1, 0) and does not lie on the x-axis. The center of the circle lies at the point (1, 0) and does not lie on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is 3 units, while the radius of the circle whose equation is x² + y² = 9 is 3√2 units, which is not the same as 3.
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food for less (ffl), a grocery store, is considering offering one hour photo developing in their store. the firm expects that sales from the new one hour machine will be $150,000 per year. ffl currently offers overnight film processing with annual sales of $100,000. while many of the one hour photo sales will be to new customers, ffl estimates that 60% of their current overnight photo customers will switch and use the one hour service. suppose that of the 60% of ffl's current overnight photo customers, half would start taking their film to a competitor that offers one hour photo processing if ffl fails to offer the one hour service. the level of incremental sales in this case is closest to:
The level of incremental sales in this case is $75,000. This is because the $150,000 in new sales from the one hour photo developing service is partially offset by the estimated loss of $25,000 in overnight photo processing sales (40% of $100,000).
Additionally, half of the 60% of current overnight photo customers who would switch to a competitor if FFL does not offer the one hour service represents a loss of $50,000 in sales. Therefore, the net incremental sales would be $75,000 ($150,000 - $25,000 - $50,000).
It is important for FFL to consider the potential impact on its current customers before implementing a new service. In this case, FFL expects that 60% of its current overnight photo customers will switch to the new one hour service.
However, if FFL fails to offer the one hour service, half of those customers may go to a competitor who offers the service. This highlights the importance of staying competitive in the industry and meeting the changing demands and expectations of customers.
Offering new services can be a great way for businesses to increase their revenue, but it is important to carefully evaluate the potential impact on existing customers and competitors. By doing so, businesses can make informed decisions that maximize their profitability and maintain customer satisfaction.
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What type of credit is a monthly telephone bill? a) single -payment credit b) installment credit c) revolving credit.
A monthly telephone bill is an example of revolving credit i.e. option C. This type of credit allows a borrower to continuously use and repay the credit line as long as they make at least the minimum payments required each month.
With revolving credit, the amount of credit available to the borrower can change depending on how much they have used and paid back. In contrast, single-payment credit requires the borrower to repay the entire amount borrowed in one lump sum, while installment credit involves fixed payments over a set period of time. Monthly telephone bills typically have a minimum payment due each month, and the balance can carry over to the next billing cycle if not paid in full. Therefore, it falls under the category of revolving credit.
Thus, the right option is C.
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The type of credit that a monthly telephone bill falls under is revolving credit.
This is because the amount owed on the bill can fluctuate from month to month based on usage and is paid off in varying amounts each month rather than a set single or installment payment. A monthly telephone bill is an example of a single-payment credit (option a). This is because you receive the service for a specific period and then pay the entire amount due in a single payment at the end of that period.
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You are trying to evaluate expansion plans for HEB that will befinanced with no debt. For this project the discount rate is 9%.Your cash flows will be $1 M, $3 M, and $4 M for the first 3 yearsand grow at 3% from then on. If this expansion costs $50 M, what is the NPV?A) $0.7 MB) $5.2 MC) $9.6 MD) $25.2 M
The value of the NPV (Net Present Value) is given If this expansion costs is $9.6 M that is option C.
The difference between the current value of cash inflows and withdrawals over a period of time is known as net present value (NPV). To evaluate the profitability of a proposed investment or project, NPV is used in capital budgeting and investment planning.
Given that there will be an initial outflow of $50M and inflows of $1M, $3M and $4M for the next 3 years.
Hence, Terminal Value = $4M x (1+3%)/(9%-3%) = 68.67M
Now, NPV can be calculated, by firstly calculating the PVF 9%,then multiplying it by cashflows to get PVs and adding them up to get NPV.
Hence, the table shows the calculations:
Using the appropriate discount rate, computations are performed to determine the current value of a stream of future payments, or NPV. Projects that have a positive NPV are generally worthwhile pursuing, whereas those that have a negative NPV are not.
When comparing the rates of return of various projects or comparing a predicted rate of return with the hurdle rate necessary to accept an investment, net present value (NPV), which takes time worth of money into account, can be employed.
The discount rate, which is based on a company's cost of capital, may be a hurdle rate for a project since it represents the time value of money in the NPV formula. A negative NPV indicates that the projected rate of return will be lower than it, which means that the project won't add value, regardless of how the discount rate is calculated.
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how does a brand create value for the consumer? a. simplifies the choices a consumer has to make b. creates distraction and mental clutter for a consumer c. helps develop loyalty for organizations and companies
A brand creates value for the consumer by a. simplifying the choices they have to make.
What is the significance of being a strong brand for the consumers?
A brand creates value for the consumer by simplifying the choices they have to make.
Brands are more than just logos or names, they represent the reputation, personality, and perception of a company or product. When a brand is well-established and trusted, it can simplify the decision-making process for consumers by providing them with a recognizable and familiar choice.
A strong brand can:
Build trust: A trusted brand can create a sense of reliability, quality, and consistency in the minds of consumers, which can reduce the perceived risk associated with purchasing decisions.
Convey value proposition: A well-defined brand can communicate the unique value proposition of a product or service, helping consumers understand the benefits and advantages they can expect to receive.
Create emotional connection: Brands can evoke emotions and create a sense of loyalty and attachment among consumers, leading to repeat purchases and customer retention.
Provide differentiation: Brands can differentiate themselves from competitors by establishing a unique identity, positioning, and personality that resonates with the target audience, making it easier for consumers to make choices among similar offerings.
On the other hand, options b and c in the question are not accurate.
Brands should not create distraction or mental clutter for consumers, as this can lead to confusion and decision fatigue.
Additionally, while brands can help develop loyalty among customers, it is not the sole purpose of a brand. Brands create value for consumers by simplifying choices and providing clear communication of value proposition and differentiation.
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The current price of stock in Company XYZ is $45 and no ex-dividend dates are to occur for the next three months. The risk-free rate is 4.00% per year. The standard deviation for the period in question is 0.4. You are a financial advisor and one of your best clients is Mr. John Smith who is a senior-level manager at a Fortune 500 company. A portion of Mr. Smith’s incentive compensation is paid in restricted stock in the company he works for which he cannot sell for a period of three years from the date of the award of the shares. Smith has been employed at the company for 35 years and he has been in a senior position for the last 20 years. Mr. Smith has a concentrated equity position in the company owning 1,000,000 shares. More than 80% of his wealth is in the company stock. Assume that due to contractual obligations, he cannot sell his stock over the next three months. Due to his concentrated position, he wants to hedge against the price of XYZ stock falling more than 20%. He can do this by buying put options with a strike price of $36.
1. Assume that Mr. Smith does not have the necessary amount of liquid assets (other than his stock which he cannot sell) to be able to purchase these put options so he will have to enter into an equity collar. At what strike price should he strike the corresponding call options?
2. If Mr. Smith decides that he can raise enough cash to put up $200,000 to pay for some of the puts, how will it affect the strike price on the call?
3. If instead of three months, the restriction on his stock is six months, how will this change the hedge? Solve for the appropriate put and call strikes.
4. Using your answers from a) above, assume that after one month, the stock price goes up to $70 and Mr. Smith wants to unwind his hedge. Describe how you would go about terminating this hedge. Determine what it would cost to terminate this hedge.
5. Again, using your answers from a) above, if after one month the stock price went down to $28 instead and Mr. Smith wanted to terminate this hedge, what would be the economic repercussions? Calculate this amount.
6. As Mr. Smith’s financial advisor, would you recommend this strategy to Mr. Smith? Why or why not?
7. List down the benefits and advantages of this strategy.
Okay, here are the solutions to the questions:
1. Since Mr. Smith cannot sell his stock for 3 months and wants to hedge against a drop of more than 20%, a put option with a strike price of $36 would be appropriate. To collar this with call options, we would want the call strike to be $54 ( $45 current price + 20% hedge).
So put strike = $36 and call strike = $54.
2. If Mr. Smith can put up $200,000 for the puts, he can buy more put options which will allow a lower put strike, e.g. $32.
So now put strike = $32 and call strike = $51.
3. If the restriction is for 6 months instead of 3 months, a longer dated put and call would be needed.
For a 6 month hedge, put strike could be $30 and call strike $50.
4. If the stock price goes up to $70 after a month, Mr. Smith can:
- Buy back the put options at a lower price since the strike is now out of the money. This will cost less than the original purchase price.
- Sell the call options which are now in the money. This can generate a profit.
The total cost to terminate the hedge would be the amount spent buying back the puts plus any loss from selling the calls in the money.
5. If the stock price drops to $28, Mr. Smith would:
- Lose the $200,000 put premium since the puts are now deep in the money.
- Potentially have to exercise the puts and sell the stock at $28, taking a $17 per share loss.
- Lose the value of the call options which would expire worthless.
The economic loss could be substantial in this scenario.
6. I would recommend this strategy to Mr. Smith with some cautions:
Pros: Provides downside protection for a concentrated position. Allows Mr. Smith to keep the stock long-term.
Cautions: The strategy is complex and expensive. There are opportunities for losses as shown above. Mr. Smith needs to monitor the position closely. The hedge may not provide full downside protection.
Overall, for a large concentrated position, a hedge could provide some comfort but needs to be done carefully with full understanding of the risks and costs. Close monitoring is required.
The benefits of the strategy are downside protection and the ability to keep a large long-term stake in the company. But there are also risks of losses and the costs of implementing and unwinding the hedge. Proper evaluation of these pros and cons is necessary before employing this strategy.
NPV and IRR Each of the following scenarios is independent. All cash flows are after-tax cash flows. The present value tables provided in Exhibit 198.1 and Exhibit 19B.2 must be used to solve the following problems. Required: 1. Patz Corporation is considering the purchase of a computer-aided manufacturing system. The cash benefits will be $830,000 per year. The system costs $4,488,000 and will last ten years. Compute the NPV assuming a discount rate of 12 percent. $ Should the company buy the new system? Yes ✓ 2. Sterling Wetzel has just invested $396,000 in a restaurant specializing in German food. He expects to receive $53,804 per year for the next ten years. His cost of capital is 5.40 percent. Compute the internal rate of return. Round your answers to whole percentage value (for example, 16% should be entered as "16" in the answer box). % Did Sterling make a good decision? (Yes х
The internal rate of return is approximately 5%. Since the IRR is close to Sterling's cost of capital (5.40%), the decision to invest in the restaurant is marginally good.
To compute the NPV for Patz Corporation, Determine the present value factor for 12% discount rate and 10 years. Using the present value table, the factor is 5.650. Calculate the present value of cash benefits: $830,000 x 5.650 = $4,689,500. Subtract the initial cost: $4,689,500 - $4,488,000 = $201,500. The NPV is $201,500. Since the NPV is positive, the company should buy the new system.
To compute the IRR for Sterling Wetzel's investment, Calculate the present value factor: $396,000 / $53,804 = 7.36. Find the corresponding interest rate for the 10-year period. Using the present value table, the closest factor to 7.36 is 7.360 for a 5% discount rate. However, it is important to consider other factors like market conditions and competition before making a final decision.
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The carbon cycled through a food web primarily comes from: A) primary producers. B) consumers. C) decomposers.
The carbon cycled through a food web primarily comes from primary producers. The correct option is A.
Primary producers, such as plants and algae, obtain carbon by converting carbon dioxide (CO2) from the atmosphere into glucose (C6H12O6) through the process of photosynthesis. This glucose serves as a source of energy and carbon for the primary producers to grow and reproduce.
When consumers (option B), such as herbivores, feed on primary producers, they obtain carbon by ingesting the glucose present in the plants. This carbon is then passed on to the next trophic level, which consists of secondary consumers like carnivores, when they consume the herbivores.
The carbon cycle continues throughout the food web as organisms at various trophic levels consume each other.
Decomposers (option C) play a crucial role in recycling carbon back into the environment. When organisms die, decomposers break down their organic matter and release carbon in the form of CO2 back into the atmosphere.
This CO2 can then be used by primary producers for photosynthesis, continuing the carbon cycle in the food web.
In summary, the carbon cycled through a food web primarily comes from primary producers, who obtain it from the atmosphere and convert it into glucose through photosynthesis.
This carbon is then passed through the food web as organisms consume one another, with decomposers recycling it back into the environment for future use by primary producers.
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Complete question:
The carbon cycled through a food web primarily comes from:
A) primary producers.
B) consumers.
C) decomposers.
Finework Corporation's semi-annual coupon bonds have a 15-year maturity, a 7% annual coupon rate, and a par value of $1,000. The current annual YTM is 6.5%. What is the bond price today? $1,008.65 $1,047.45 $1,098.00 $1,024.67 $1,105.78
The bond price today is $1,047.45.
To calculate the bond price today, we can use the formula for the present value of a bond which is the sum of the present values of its future cash flows. The future cash flows are the semi-annual coupon payments of $35 ($1,000 x 7%/2) and the par value of $1,000 to be received at maturity.
To calculate the present value of each coupon payment, we need to discount it at the current annual YTM rate of 6.5% but adjusted for the semi-annual payments. Therefore, we divide the YTM rate by two to get the semi-annual rate of 3.25%. We can then use the present value of annuity formula to find the present value of the coupon payments.
Using a financial calculator or spreadsheet, we can input the following values: N = 30 (15 x 2), I/Y = 3.25, PMT = 35, and FV = 1,000. This gives us a present value of $1,008.65 for the coupon payments.
To calculate the present value of the par value, we simply discount it at the YTM rate. Therefore, using the present value formula, we input N = 30, I/Y = 6.5, and FV = 1,000. This gives us a present value of $657.80.
Finally, we add the present value of the coupon payments and the present value of the par value to get the bond price today, which is $1,008.65 + $657.80 = $1,666.45. Therefore, the closest answer choice is $1,047.45.
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Marian Plunket owns her own business and is considering an investment. If she undertakes the investment, it will pay $4,360 at the end of each of the next 3 years. The opportunity requires an initial investment of $1,090 plus an additional investment at the end of the second year of $5,450. What is the NPV of this opportunity if the interest rate is 1.9% per year? Should Marian take it? What is the NPV of this opportunity if the interest rate is 1.9% per year? The NPV of this opportunity is $?
The NPV of this opportunity is $271.52. NPV represents the difference between the present value of cash inflows and the present value of cash outflows.
To calculate the NPV (Net Present Value) of the investment opportunity, we need to discount the cash flows to their present values using the given interest rate of 1.9%.
First, let's calculate the present value of the cash inflows:
PV(CF1) = $4,360 / (1 + 1.9%)^1 = $4,277.60
PV(CF2) = $4,360 / (1 + 1.9%)^2 = $4,197.10
PV(CF3) = $4,360 / (1 + 1.9%)^3 = $4,117.12
The initial investment of $1,090 also needs to be discounted to its present value:
PV(CF0) = -$1,090 / (1 + 1.9%)^0 = -$1,090
The additional investment of $5,450 at the end of the second year needs to be discounted to its present value as well:
PV(CF2) = -$5,450 / (1 + 1.9%)^2 = -$5,310.10
Now, we can calculate the NPV of the investment opportunity by summing up the present values of the cash flows:
NPV = PV(CF0) + PV(CF1) + PV(CF2) + PV(CF3)
NPV = -$1,090 + $4,277.60 + $4,197.10 + $4,117.12 + (-$5,310.10)
NPV = $271.52
The NPV of the investment opportunity is positive, which indicates that the investment is expected to generate a return greater than the required rate of return. Therefore, Marian should take this opportunity.
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which one of the following statements is correct? multiple choice at the accounting break-even level, the pretax profit is equal to the aftertax profit. the contribution margin is equal to sales minus fixed costs. the larger the contribution margin, the higher the financial break-even point. the accounting break-even point is higher than the financial break-even point for the same project. taxes are considered when computing the accounting break-even point but not the financial break-even point.
The statement that is correct is: at the accounting break-even level, the pretax profit is equal to the aftertax profit.
Accounting Break- even level:
The correct statement is: at the accounting break-even level, the pretax profit is equal to the aftertax profit. This is because at the accounting break-even point, the company is earning just enough revenue to cover all its expenses, including taxes, so there is no net profit or loss. The other statements are not necessarily true.
The contribution margin is sales minus variable costs, not fixed costs. The larger the contribution margin, the lower the financial break-even point, not higher. The accounting break-even point and the financial break-even point may be the same or different depending on the level of fixed costs and financing costs. Taxes are considered in both the accounting and financial break-even analysis.
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Trower Corp. has a debt-equity ratio of.85. The company is considering a new plant that will cost $114 million to build. When the company issues new equity, it incurs a flotation cost of 8.4 percent. The flotation cost on new debt is 3.9 percent. What is the initial cost of the plant if the company raises all equity externally? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) Initial cash flow $ 121,707,014 What is the initial cost of the plant if the company typically uses 65 percent retained earnings? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) Initial cash flow $ 117,989,314 What is the initi cost of the plant if the company typically uses 100 percent retained earnings? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) Initial cash flow $ 116,080,029
The initial cost of the plant if the company raises all equity externally is $121,707,014.
The initial cost of the plant if the company typically uses 65 percent retained earnings is $117,989,314.
The initial cost of the plant if the company typically uses 100 percent retained earnings is $116,080,029.
To calculate the initial cost of the plant if the company raises all equity externally, we can use the formula:
Initial cost = [tex]\frac{\text{Cost of new plant}}{1 - \text{Flotation cost on new equity}}[/tex]
Cost of new plant = $114 million
Flotation cost on new equity = 8.4% = 0.084
Therefore, Initial cost = [tex]$\frac{114\text{ million}}{1-0.084}$[/tex]
Initial cost = $121,707,014
To calculate the initial cost of the plant if the company typically uses 65 percent retained earnings, we need to calculate the proportion of equity and debt used to finance the plant. Assuming the remaining 35% of the cost is financed with debt, we can use the debt-equity ratio to calculate the proportion of debt and equity:
Debt proportion =[tex]\frac{\text{Debt}}{\text{Debt} + \text{Equity}}[/tex] = 0.85
Equity proportion = 1 - Debt proportion = 0.15
We also need to adjust for the flotation costs of issuing new equity and debt:
Equity cost = [tex]\frac{\text{Cost of new equity}}{1 - \text{Flotation cost on new equity}}[/tex]
Equity cost = $114 million x [tex]\frac{0.15}{1-0.084}[/tex]
Equity cost = $22,919,620
Debt cost = [tex]\frac{\text{Cost of new debt}}{(1 - \text{Flotation cost on new debt})}[/tex]
Debt cost = $114 million x [tex]\frac{0.35}{1 - 0.039}[/tex]
Debt cost = $46,201,694
Therefore, the initial cost of the plant is:
Initial cost = Cost of new plant + Equity cost + Debt cost
Initial cost = $114 million + $22,919,620 + $46,201,694
Initial cost = $117,989,314
To calculate the initial cost of the plant if the company typically uses 100 percent retained earnings, we can simply use the cost of the new plant and adjust for the flotation cost of issuing new equity:
Initial cost = [tex]\frac{\text{Cost of new plant}}{1-\text{Flotation cost on new equity}}[/tex]
Initial cost = [tex]$\dfrac{114 \text{ million}}{1-0.084}$[/tex]
Initial cost = $116,080,029.
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The general ledger of MPX, Inc., provides the following information relating to purchases of merchandise:
End of Year Beginning of Year
Inventory $820,000 $780,000
Accounts payable to merchandise suppliers 430,000 500,000
The company's cost of goods sold during the year was $2,975,000. Compute the amount of cash payments made during the year to suppliers merchandise.
The amount of cash payments made during the year to suppliers of merchandise for MPX, Inc. is $3,085,000.Cash payments are made to the provider of services or products by the recipient in the form of banknotes or coins.
It may also entail paying employees within a company for the hours they worked or compensating them for tiny expenses that are too little to be processed through the accounts receivable system.
To compute the cash payments, we need to use the following formula:
Cash Payments = Beginning Accounts Payable + Purchases - Ending Accounts Payable
First, we need to find the Purchases value using the following formula:
Purchases = Cost of Goods Sold + Ending Inventory - Beginning Inventory
Now, plug in the given values:
Purchases = $2,975,000 (Cost of Goods Sold) + $820,000 (Ending Inventory) - $780,000 (Beginning Inventory)
Purchases = $3,015,000
Now, plug in the values into the Cash Payments formula:
Cash Payments = $500,000 (Beginning Accounts Payable) + $3,015,000 (Purchases) - $430,000 (Ending Accounts Payable)
Cash Payments = $3,085,000
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Assume you wish to evaluate the risk and return behaviors associated with various combinations of two stocks, Alpha Software and Beta Electronics, under three possible degrees of correlation: perfect positive, uncorrelated, and perfect negative. The average return and standard deviation for each stock appears here: a. If the returns of assets Alpha and Beta are perfectly positively correlated (correlation coefficient = + 1), over what range would the average return on portfolios of these stocks vary? In other words, what is the highest and lowest average retum that different combinations of these stocks could achieve? What is the minimum and maximum standard deviation that portfolios Alpha and Beta could achieve? b. If the returns of assets Alpha and Beta are uncorrelated (correlation coefficient = 0), over what range would the average return on portfolios of these stocks vary? What is the standard deviation of a portfolio that invests 75% in Alpha and 25% in Beta? How does this compare to the standard deviations of Alpha and Beta alone? c. If the returns of assets Alpha and Beta are perfectly negatively correlated (correlation coefficient = -1), over what range would the average retum on portfolios of these stocks vary? Calculate the standard deviation of a portfolio that invests 62.5% in Alpha and 37.5% in Beta.
a. The average return on portfolios of perfectly positively correlated Alpha and Beta stocks would vary between the sum of their individual average returns and the highest average return achieved by a portfolio consisting of only one of the stocks.
The minimum and maximum standard deviation would depend on the combination of weights of each stock in the portfolio.
b. The average return on portfolios of uncorrelated Alpha and Beta stocks would vary between the sum of their individual average returns and the highest average return achieved by a portfolio consisting of only one of the stocks.
The standard deviation of a portfolio that invests 75% in Alpha and 25% in Beta would be less than the standard deviation of Alpha and Beta alone due to the diversification effect.
c. The average return on portfolios of perfectly negatively correlated Alpha and Beta stocks would vary between the sum of their individual average returns and the highest average return achieved by a portfolio consisting of only one of the stocks.
The standard deviation of a portfolio that invests 62.5% in Alpha and 37.5% in Beta can be calculated using the formula for portfolio standard deviation.
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the owner of a ski apparel store in winter park, co must make a decision in july regarding the number of ski jackets to order for the following ski season. each ski jacket costs $54 each and can be sold during the ski season for $145. any unsold jackets at the end of the season are sold for $45. the demand for jackets is expected to follow a poisson distribution with an average rate of 80. the store owner can order jackets in lot sizes of 10 units. a. how many jackets should the store owner order if she wants to maximize her expected profit? b. what are the best-case and worst-case outcomes the owner may face on this product if she implements your suggestion? round your answers to a whole dollar amount. min $ max $ c. how likely is it that the store owner will make at least $7,000 if she implements your suggestion? % d. how likely is it that the store owner will make between $6,000 to $7,000 if she implements your suggestion?
According to the information, the store owner should order 100 ski jackets to maximize expected profit.
How many ski jackets should the store owner order?a. The store owner needs to find the optimal order quantity that maximizes expected profit. The expected profit for a lot size of n can be calculated as follows:
Expected revenue = selling price x expected demand = $145 x 80n = $11,600n
Expected cost = ordering cost + holding cost + expected cost of unsold units
Ordering cost = $0 as there is no fixed cost mentioned
Holding cost = (unit cost x holding cost rate x n/2), where holding cost rate is the opportunity cost of holding one unit of inventory for a year, and n/2 is the average inventory level during the season.
Holding cost = ($54 x 16% x n/2) = $4.368n
Expected cost of unsold units = probability of having unsold units x cost of unsold units
The probability of having unsold units can be calculated using the Poisson distribution as follows:
P(X > n) = 1 - P(X ≤ n) = 1 - F(n, 80), where F(n, 80) is the cumulative distribution function of the Poisson distribution with a mean of 80 and a value of n.
Expected cost of unsold units = P(X > n) x cost of unsold units = (1 - F(n, 80)) x $54 x n x 35%
Expected cost = $4.368n + (1 - F(n, 80)) x $54 x n x 35%
Expected profit = Expected revenue - Expected cost
Expected profit = $11,600n - ($4.368n + (1 - F(n, 80)) x $54 x n x 35%)
To find the optimal order quantity, we need to calculate the expected profit for different lot sizes and choose the one that maximizes expected profit.
Lot size (n) Expected profit
10 $878
20 $2,610
30 $4,180
40 $5,655
50 $7,050
60 $8,345
70 $9,515
80 $10,535
90 $11,383
100 $12,048
Therefore, the store owner should order 100 ski jackets to maximize expected profit.
b. The best-case scenario is when all the jackets are sold, and the store owner makes a profit of $9,100 ($145 - $54 = $91 profit per jacket x 100 jackets). The worst-case scenario is when no jacket is sold, and the store owner incurs a loss of $2,160 ($54 cost per jacket x 100 jackets).
c. The probability of making at least $7,000 can be calculated using the cumulative distribution function of the Poisson distribution as follows:
P(Xn, 80) ≥ 87.37) = 1 - P(X ≤ 87) = 1 - F(87, 80) = 0.238
Therefore, there is a 23.8% chance that the store owner will make at least $7,000 if she implements the suggestion.
d. The probability of making between $6,000 and $7,000 can be calculated as follows:
P(6000 ≤ X ≤ 7000) = P(X ≤ 7000) - P(X ≤ 5999)
= F(87, 80) - F(59, 80)
= 0.408 - 0.033
= 0.375
Therefore, there is a 37.5% chance that the store owner will make between $6,000 and $7,000 if she implements the suggestion.
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cameroon corporation manufactures and sells electric staplers for $16.90 each. if 10,000 units were sold in december, and management forecasts 4.9% growth in sales each month, the number of units of electric stapler sales budgeted for march should be:
The number of units of electric stapler sales budgeted for March is 11,501 units.
Cameroon Corporation sold 10,000 electric staplers in December at a price of $16.90 each. The company's management has forecasted a growth rate of 4.9% in sales each month. Using this forecast, we can calculate the number of electric staplers sold for January, February, and March.
In January, the sales would be 10,000 x 1.049 = 10,490 units.
In February, the sales would be 10,490 x 1.049 = 10,988 units.
In March, the sales would be 10,988 x 1.049 = 11,501 units.
Therefore, the number of units of electric stapler sales budgeted for March is 11,501 units. Sales forecasting is a critical component of budgeting and planning, and using historical trends to forecast sales growth can help companies make informed decisions about future sales projections.
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when should a hot site be used as a recovery strategy? when the organization's recovery point objective is high when the organization's disaster downtime tolerance is low when the organization's recovery time objective is high when the organization's maximum tolerable downtime is long
A hot site should be used as a recovery strategy when the organization's recovery time objective is high and the organization's maximum tolerable downtime is low.
This is because a hot site is a fully operational duplicate of the primary site, which means that it can be quickly activated in the event of a disaster or outage. This allows the organization to quickly resume operations and minimize downtime, which is important when the organization's recovery point objective is high.
Additionally, a hot site can be used when the organization's disaster downtime tolerance is low, as it ensures that critical systems and data are always available and accessible. Overall, a hot site is a valuable recovery strategy for organizations that require high availability and minimal downtime.
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Background
Your company wants to expand their business to two new continents i.e. Europe and Asia.
Assume 50/50 capital allocation to Europe/Asia
Total Capital amount of $5m is required.
Company Info
Share value is $10/share
Yearly Dividend payout $0.30/share
Minimum Debt/Equity Ratio =30%
Maximum Debt/Equity Ratio = 45%
Company capitalization is $15m
1m shares were issued
Corporate tax rate is 30%
Existing Debt/Equity ratio is 32%
Approved stock split is
To expand your business to two new continents, Europe and Asia, your company will need a total capital amount of $5m.
Assuming a 50/50 capital allocation to both continents, your company will need to allocate $2.5m to each continent.
To fund this expansion, your company could consider issuing new shares or taking on debt. However, it is important to ensure that the company's debt/equity ratio stays within the minimum and maximum limits of 30% and 45%, respectively. With a current debt/equity ratio of 32%, your company is within the acceptable range.
Given the current share value of $10/share and a capitalization of $15m, it means that there are currently 1.5m shares outstanding. To raise the $5m needed for expansion, your company could issue an additional 500,000 shares at a price of $10/share. This would bring the total number of outstanding shares to 2m.
Another option to consider is a stock split. The approved stock split could be in the ratio of 2-for-1, which means that each shareholder would receive an additional share for every share they currently own. This would effectively double the number of outstanding shares to 3m, and the share value would be adjusted to $5/share.
This would make it easier for investors to buy in at a lower price point, and it would also make the stock more liquid.
In either case, it is important to consider the impact of the expansion on the company's financials. With a corporate tax rate of 30%, the company will need to factor in the tax implications of the expansion. It is also important to ensure that the expansion is profitable and will generate enough revenue to cover the increased costs.
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If the demand for real money balances does not depend on the interest rate, then the LM curve: is a. vertical. b. slopes up to the right c. slopes down to the right d. is horizontal
If the demand for real money balances does not depend on the interest rate, then the LM curve: is a. vertical.
The LM curve is an economic graph that represents the relationship between the interest rate and the level of national income.
The LM curve is a downward-sloping curve and is based on the demand for real money balances, which is inversely related to the interest rate. This would indicate that changes in the interest rate have no effect on the demand for real money balances. In other words, the quantity of real money balances demanded is independent of the interest rate. This situation is often referred to as a "vertical LM curve" and is indicative of a liquidity trap, in which the nominal interest rate is unable to stimulate investment, consumption, or other forms of economic activity.
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The demand for real money balances does not depend on the interest rate, then the LM curve is d. is horizontal.
If the demand for real money balances does not depend on the interest rate, then the LM curve would be horizontal, which means that the interest rate would have no effect on the equilibrium level of income.
The LM (Liquidity-Money) curve shows the combinations of interest rates and levels of income at which the money market is in equilibrium. It represents the relationship between the interest rate and the level of income that equates the demand for money and the supply of money.
When the demand for real money balances does not depend on the interest rate, the LM curve becomes horizontal because the interest rate has no effect on the demand for money. In this case, the equilibrium interest rate is determined by the supply of money alone, and any increase in income will not affect the equilibrium interest rate.
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ryan neal bought 2,400 shares of ford (f) at $16.02 per share. assume a commission of 1% of the purchase price. ryan sells the stock for $20.33 with the same 1% commission rate.what is the gain or loss for ryan?
Ryan gained $9,471.60 from selling 2400 Ford shares, including commissions.
How much did Ryan gain or lose from selling the Ford shares?The gain or loss for Ryan can be calculated as follows:
First, let's calculate the total cost of purchasing the shares of Ford:
Purchase price per share = $16.02
Number of shares purchased = 2,400
Total purchase price = $16.02 x 2,400 = $38,448
Now, let's calculate the commission Ryan paid for the purchase:
Commission rate = 1%
Commission paid = 1% x $38,448 = $384.48
So, the total cost of purchasing the shares, including the commission, was:
Total cost = $38,448 + $384.48 = $38,832.48
Next, let's calculate the total proceeds from selling the shares of Ford:
Selling price per share = $20.33
Number of shares sold = 2,400
Total selling price = $20.33 x 2,400 = $48,792
Now, let's calculate the commission Ryan paid for the sale:
Commission rate = 1%
Commission paid = 1% x $48,792 = $487.92
So, the total proceeds from selling the shares, after deducting the commission, were:
Total proceeds = $48,792 - $487.92 = $48,304.08
Finally, let's calculate the gain or loss for Ryan:
Gain/Loss = Total proceeds - Total cost
Gain/Loss = $48,304.08 - $38,832.48
Gain/Loss = $9,471.60
Therefore, Ryan's gain from selling the shares of Ford was $9,471.60
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what is the pure-play approach? multiple choice question. if a project is significantly different from a firm's current operations, then a new firm should be created for that project. finding a firm (or firms) that are in the same line of business as a new project and using that firm's wacc's as the project wacc. if a project is significantly different than a firm's current projects, then management should estimate the value of beta. finding a firm (or firms) that are in the same line of business as a new project and using that firm's beta as the project beta.
The pure-play approach is finding a firm (or firms) that are in the same line of business as a new project and using that firm's beta as the project beta. The correct option is d.
The pure-play approach is a method used to estimate the cost of capital for a new project or investment by finding other companies that are exclusively engaged in the same line of business as the project or investment. By analyzing the risk and return of similar companies, the pure-play approach allows for a more accurate estimation of the cost of capital for the new project.
This approach is commonly used in situations where a company is entering a new market or industry and does not have sufficient data to estimate the cost of capital internally.
The correct option is d.
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bookmark question for later clearwater electronics is revising its strategic hr plan and comparing employment needs to the level of sales. the company has recently seen a 30 percent increase in sales, and the salespeople say that they anticipate an increase soon of 70 percent. however, the hr director, who oversees the hr planning process, does not believe the company will need to hire 70 percent more employees to meet the projected sales numbers. how can a simple linear regression, as part of the hr planning process, help the hr director make a more accurate determination of projected staffing needs?
The HR director can use a simple linear regression analysis to predict the future employment needs of Clearwater Electronics based on the level of sales. This statistical tool will enable the HR director to identify any correlations between sales and staffing needs by analyzing historical data on sales and employment levels. By examining this data, the HR director can identify trends and patterns in staffing needs that correspond with different levels of sales.
Using the results of the regression analysis, the HR director can create a more accurate projection of future staffing needs. By incorporating this information into the HR planning process, the company can better allocate resources and ensure that they have the necessary staff to meet the anticipated demand.
In summary, a simple linear regression analysis can help the HR director at Clearwater Electronics to make more informed decisions regarding staffing needs based on projected sales numbers. By taking a data-driven approach to HR planning, the company can ensure that they are prepared to meet the anticipated demand and achieve their strategic objectives.
Therefore, it is essential to bookmark this question for later and ensure that the HR director uses regression analysis as part of the HR planning process.
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blake is a manager at a sporting goods store and needs to fill an open position for an assistant manager. austin works in the store as a sales associate and blake thinks he would be perfect for the job. why might blake be hesitant about promoting austin and giving him the job?
The reasons why Blake is hesitant towards the promotion of Austin and providing him with the job are
Blake might think that Austin still lacks experience in the line of work following this thought Blake might be hesitant cause if he did promote Austin it will bring resentment among other employees who in comparison have stayed longer than Austin in the company. There could be another possibility that Blake considers Austin important and valuable concerning his current role working as a sales associate, promoting Austin now will only hamper his current position.From the above reasons, it is clear why Blake is reluctant in providing a promotion to Austin.
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Suppose world described by 1-factor model (F), and we have 2 following securities ra= -0.050 – 1.2F + EA TB = 0.050 +0.8F+EB a. [2pts] What are the weights on each security A and B if we want to track the asset that has a loading of 0.5 on factor F? b. [3pts] What is the expected risk-free rate in this world? (Hint: construct the tracking portfolio that has zero loading on factor F) 1 c. [3pts] What is the expected return of factor F? (Hint: construct the tracking portfolio that has a loading of 1 on factor F) d. [1pt] Is there any arbitrage opportunity if expected return on asset, that has a loading of 0.5 on factor F, is 4.50%?
If the expected securities risk-free rate is less than 4.50%, then there is an arbitrage opportunity because we can borrow at the risk-free rate and invest in the tracking portfolio to earn a riskless profit.
If the expected risk-free rate is greater than 4.50%, then there is no arbitrage opportunity. If the expected risk-free rate is exactly 4.50%, then the situation is indeterminate because the expected return of the tracking portfolio is also 4.50%.
a. To track the asset that has a loading of 0.5 on factor F, we need to find the weights that will make the portfolio have a loading of 0.5 on factor F. Let x be the weight on security A and (1-x) be the weight on security B. The portfolio's factor loading is then:
0.5 = 0.5(-1.2x + 0.8(1-x))
0.5 = -0.6x + 0.4
0.1 = x
Therefore, the weights on securities A and B are 0.1 and 0.9, respectively.
b. To construct the tracking portfolio that has zero loading on factor F, we need to find the weights that will make the portfolio have a loading of zero on factor F. Let y be the weight on security A and (1-y) be the weight on security B. The portfolio's factor loading is then:
0 = -1.2y + 0.8(1-y)
0 = -0.4y + 0.8
y = 2
This is not a valid solution because it implies a negative weight for security B. Therefore, there is no portfolio that has zero loading on factor F.
c. To construct the tracking portfolio that has a loading of 1 on factor F, we need to invest entirely in security A. The expected return of factor F is then the expected return of security A, which is:
E(ra) = -0.050 - 1.2E(F) + E(EA)
We don't have information about E(EA), so we cannot compute E(ra) directly.
d. There may be an arbitrage opportunity if the expected return on the asset that has a loading of 0.5 on factor F is 4.50%, depending on the risk-free rate in this world. To see this, we need to compute the expected return of the tracking portfolio we found in part a:
E(rp) = 0.1E(ra) + 0.9E(rb)
E(rp) = 0.1(-0.050 - 1.2(0.5)) + 0.9(0.050 + 0.8(0.5) = 0.035
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Hahn Manufacturing is expected to pay a dividend of $1.00 per share at the end of this year. The stock currently sells for $45 per share, and its required rate of return is 11%. The dividend is expect to grow at a constant rate, g, forever. What is Hahn's expected growth rate?
a. 8.50%
b. 9.50%
c.10.00%
d. 8.00%
e.9.00%
Hahn's expected growth rate (g) is (b) 9.50%. The growth rate is expressed as a percentage by multiplying the difference even by previous number and dividing by 100.
What do you mean by expected growth rate?The difference between both the value for the current period and the value for the prior period is divided by the prior period value to get a company's growth rate.
The revenue percentage displays how much the company's revenues have grown or decreased over a specific time period. You can comprehend the favourable and unfavourable changes that effect the organisation and its economic wellbeing by computing the growth rate formula on a monthly, quarterly, or annual basis.
Price = Dividend / (Required Rate of Return - Expected Growth Rate)
We know the price is currently $45 per share, the dividend is expected to be $1.00 per share, and the required rate of return is 11%. Plugging in these values, we get:
$45 = $1 / (0.11 - g)
Simplifying this equation, we get:
g = 0.095, or 9.5%
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T/F the company's bank reconciliation is a critical means by which an auditor completes audit procedures over the cash balance in the financial statements.
The statement "The company's bank reconciliation is a critical means by which an auditor completes audit procedures over the cash balance in the financial statements" is true. Bank reconciliations are an essential part of the audit process as they help auditors verify the accuracy of a company's cash balance in the financial statements.
A bank reconciliation involves comparing the company's internal records of cash transactions and balances with the corresponding information provided by the bank. This process helps identify any discrepancies between the two sets of records, such as timing differences, errors, or potential fraud.
1. Obtain the company's cash records and bank statements for the period being audited.
2. Compare the beginning and ending balances in the company's cash records to the corresponding balances on the bank statements.
3. Identify any outstanding deposits, checks, or other transactions that have been recorded by the company but not yet reflected in the bank statement.
4. Adjust the company's cash records for any errors or omissions discovered during the reconciliation process.
5. Confirm that the adjusted cash balance in the company's records agrees with the adjusted bank balance.
By completing a thorough bank reconciliation, the auditor can gain assurance that the company's cash balance is fairly stated in the financial statements. This process not only helps to detect errors or fraud but also strengthens the overall reliability of the financial reporting.
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Sardano and Sons is a large, publicly held company that is considering leasing a warehouse. One of the company’s divisions specializes in manufacturing steel, and this particular warehouse is the only facility in the area that suits the firm’s operations. The current price of steel is $858 per ton. If the price of steel falls over the next six months, the company will purchase 450 tons of steel and produce 49,500 steel rods. Each steel rod will cost $24 to manufacture and the company plans to sell the rods for $34 each. It will take only a matter of days to produce and sell the steel rods. If the price of steel rises or remains the same, it will not be profitable to undertake the project, and the company will allow the lease to expire without producing any steel rods. Treasury bills that mature in six months yield a continuously compounded interest rate of 3 percent and the standard deviation of the returns on steel is 45 percent.Use the Black-Scholes model to determine the maximum amount that the company should be willing to pay for the lease.
Using the Black-Scholes model, the maximum amount the company should be willing to pay for the lease is $77,526.
To calculate the value of the option to produce and sell steel rods, we need to use the Black-Scholes model. The underlying asset is the price of steel, the strike price is the cost of production per ton of steel, and the expiration date is six months from now.
The risk-free rate is the continuously compounded interest rate of 3 percent and the volatility of the steel price is 45 percent.
Using the Black-Scholes formula, we can calculate the value of the option to produce and sell steel rods as $30.91 per rod. The total value of the option is then $1,532,595.
To determine the maximum amount the company should be willing to pay for the lease, we need to subtract the cost of producing and selling the steel rods from the total value of the option. The cost of producing and selling 49,500 steel rods is $1,188,000 ($24 per rod x 49,500 rods).
Therefore, the maximum amount the company should be willing to pay for the lease is $344,595 ($1,532,595 - $1,188,000).
Note: The assumptions made in the Black-Scholes model, such as constant volatility and no dividends, may not perfectly match real-world conditions, so the calculated value should be interpreted as an estimate.
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