Sure, here are the answers to your questions:
Question 6: True. MRP (Material Requirements Planning) is a method for planning and controlling the production of dependent demand items. Dependent demand items are those whose demand is derived from the demand for other items. For example, the demand for screws is dependent on the demand for tables.
Question 5: False. One criterion for developing effective schedules is minimizing completion time, but there are other factors to consider as well, such as minimizing cost, resource utilization, and risk.
Question 4: False. Gantt charts are generally defined as scheduling tools. They are used to visualize and track the progress of a project or task. Gantt charts can be used to sequence tasks, but they are not specifically designed for that purpose.
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. Last year, Archer Daniels Midland Company (ADM) had a dividend of $6 per share (DIV0 = 6). Analysts predict that the company will experience an abnormal growth rate of 17% for the next four years and then the growth rate will drop to a constant rate of 3%. What is the dividend per share at year 5?
The dividend per share at year 5 is $10.91.
Given,
Dividend per share of Archer Daniels
Midland Company last year, DIV0 = $6
Abnormal growth rate for the next four years, g1 = 17%
Constant growth rate after four years, g2 = 3%
Now we need to find the dividend per share at year 5.
Dividend paid at the end of year 1, DIV1 can be calculated as follows:
D1 = DIV0 * (1 + g1)
= $6 * (1 + 0.17)
= $6.58
Dividend paid at the end of year 2, DIV2 can be calculated as follows:
D2 = D1 * (1 + g1)
= $6.58 * (1 + 0.17)
= $7.71
Dividend paid at the end of year 3, DIV3 can be calculated as follows:
D3 = D2 * (1 + g1)
= $7.71 * (1 + 0.17)
= $9.04
Dividend paid at the end of year 4, DIV4 can be calculated as follows:
D4 = D3 * (1 + g1)
= $9.04 * (1 + 0.17)
= $10.61
The dividend per share at year 5, DIV5 can be calculated as follows:
D5 = D4 * (1 + g2)
= $10.61 * (1 + 0.03)
= $10.91
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A market can be efficeient when:
a. consumer surplus is less than producer surplus
b. consumer surplus is more than producer surplus
c.consumer surplus equals producer surplus
false
e. all true
The correct answer is (c) - consumer surplus equals producer surplus. Efficiency is achieved when both surpluses are maximized and in equilibrium.
Efficiency in a market refers to the allocation of resources that maximizes total welfare, taking into account both consumer and producer surplus. To determine when a market is efficient, we need to examine the relationship between consumer surplus and producer surplus.
Consumer surplus represents the benefit or surplus that consumers receive from purchasing a good or service at a price lower than the maximum price they are willing to pay. It is the difference between what consumers are willing to pay and what they actually pay. On the other hand, producer surplus represents the benefit or surplus that producers receive from selling a good or service at a price higher than the minimum price they are willing to accept. It is the difference between the price at which producers are willing to sell and the price they actually receive.
In an efficient market, both consumer surplus and producer surplus are maximized. This occurs when consumer surplus is equal to producer surplus. Option (c) states that consumer surplus equals producer surplus, which is true for an efficient market. When consumer surplus is equal to producer surplus, it implies that the market is allocating resources in a way that maximizes the overall welfare of society. Any deviation from this equality would result in a less efficient allocation.
Options (a) and (b) are incorrect. If consumer surplus were less than producer surplus, it would imply that producers are receiving a larger share of the surplus, indicating an inefficient allocation. Conversely, if consumer surplus were more than producer surplus, it would suggest that consumers are benefiting disproportionately, which is also inefficient.
Therefore, the correct answer is (c) - consumer surplus equals producer surplus. Efficiency in a market is achieved when both consumer and producer surplus are maximized and in equilibrium.
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13. A person with natural logarithmic utility (ln function) has current net wealth of $50 and is also given a lottery ticket that pays $20 20% of the time and $0 80% of the time. What is the minimum price this person would accept to sell their lottery ticket?
$0, this person hates risk of any kind and will be happy to rid themselves of the uncertainty
$1.82
$3.71
$4.00
$4.64
please show work.
The minimum price this person would accept to sell their lottery ticket is $4.64.
In order to determine the minimum price, we need to calculate the expected utility of the lottery ticket. The expected utility is the weighted average of the utility for each possible outcome, where the weight is the probability of that outcome.
Let's assume that the utility of receiving $20 is u(20) and the utility of receiving $0 is u(0). Since the person has natural logarithmic utility, we can write these as u(20) = ln(20) and u(0) = ln(0).
However, the natural logarithm of 0 is undefined, so we need to use a limit to find the utility of receiving $0. Taking the limit as x approaches 0, ln(x) approaches negative infinity. Therefore, we can assume that the utility of receiving $0 is negative infinity.
Now, let's calculate the expected utility. The probability of receiving $20 is 20%, or 0.2, and the probability of receiving $0 is 80%, or 0.8. So the expected utility is:
E(u) = 0.2 * ln(20) + 0.8 * ln(0)
Since ln(0) is negative infinity, the expected utility is also negative infinity.
To find the minimum price, we need to find the amount that would make the person indifferent between keeping the lottery ticket and selling it. This means that the expected utility of receiving the minimum price should be equal to the current utility of the person's net wealth.
Setting E(u) = ln(50) and solving for the minimum price, we get:
ln(20) * 0.2 + ln(0) * 0.8 = ln(50)
ln(20) * 0.2 = ln(50)
0.2 * ln(20) = ln(50)
ln(20^0.2) = ln(50)
20^0.2 = 50
20^(1/5) = 50
20^(1/5) = 2 * 10^(1/5)
The fifth root of 20 is approximately 1.7411, so the minimum price is:
2 * 1.7411 = 3.4822
Rounding to two decimal places, the minimum price this person would accept to sell their lottery ticket is $3.48.
In conclusion, the minimum price this person would accept to sell their lottery ticket is $4.64. This is calculated by finding the amount that would make the person indifferent between keeping the lottery ticket and selling it, based on their natural logarithmic utility function. The expected utility of the lottery ticket is negative infinity, and setting it equal to the current utility of the person's net wealth, we can solve for the minimum price. After the calculations, the minimum price is found to be $3.48, rounded to two decimal places.
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pls
help
What is the effective annual rate of interest if $1100.00 grows to $1400.00 in five years compounded monthly? Question 4 01 14 SOB The effective annual rate of interest as a percent is %. (Round the f
The effective annual rate of interest is approximately 6.6651%.
To calculate the effective annual rate of interest, we can use the formula:
Effective Annual Rate (EAR) = (1 + (Nominal Interest Rate / Number of Compounding Periods))^Number of Compounding Periods - 1
In this case, the nominal interest rate is unknown, but we can find it by rearranging the formula to solve for it. Let's assume the nominal interest rate is denoted as r.
$1100.00 grows to $1400.00 in five years compounded monthly, so we can set up the equation:
$1100.00 * (1 + r/12)^(12*5) = $1400.00
Simplifying the equation:
(1 + r/12)^60 = 1400/1100
(1 + r/12)^60 = 1.272727
Taking the 60th root of both sides:
1 + r/12 = (1.272727)^(1/60)
1 + r/12 = 1.005401
Subtracting 1 from both sides:
r/12 = 1.005401 - 1
r/12 = 0.005401
Multiplying both sides by 12:
r = 0.064812
Now we have the nominal interest rate, r, which is approximately 0.064812.
To calculate the effective annual rate (EAR), we can substitute this value into the earlier formula:
EAR = (1 + (0.064812 / 12))^12 - 1
EAR = 0.066651
Therefore, the effective annual rate of interest is approximately 6.6651%.
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Surinder borrowed $1300.00 and agreed to pay $2625.53 in settlement of the debt in four years, six months. What annual nominal rate compounded semi-annually was charged on the debt?
CD The nominal annual rate of interest is (Round the final answer to four decimal places as needed. Round all intermediate values to six decimal places as needed)
The nominal annual rate of interest is 10.965%. Given that Surinder borrowed $1300 and agreed to pay $2625.53 in settlement of the debt in four years, six months. We are to find the annual nominal rate compounded semi-annually charged on the debt.
To find the nominal annual rate compounded semi-annually, we can use the formula:
A=P (1+r/n)^(nt)
where, A = Amount at the end of the term
P = Principal amount
r = Nominal annual interest rate
n = Number of times interest is compounded per year
t = Time period in years
On substituting the given values in the formula, we get;2625.53 = 1300(1+r/2)^(2×4.5)
Multiplying both sides by (1+r/2)^-9 to solve for r/2, we get;
2625.53(1+r/2)^-9 = 1300
Now, we can find the value of (1+r/2)^9,
which is (1+r/2)^-9 = 1300/2625.53
(1+r/2)^9 = 2625.53/1300
(1+r/2)^9 = 2.0196431
Taking the 9th root of both sides, we get;
1 + r/2 = 1.054825
Taking away 1 from both sides, we get;
r/2 = 0.054825
Now, we can find the nominal annual rate of interest as follows: N = 2 (semi-annually compounded)So, the nominal annual rate of interest is 2×0.054825= 0.10965
The nominal annual rate of interest is 10.965% (rounded to four decimal places).
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prices the price elasticity of supply is _______ than the price elasticity of demand and prior to the removal of the tax, the tax burden was _______.
Prices the price elasticity of supply is typically higher than the price elasticity of demand, and prior to the removal of the tax, the tax burden was borne by both buyers and sellers.
The price elasticity of supply measures the responsiveness of the quantity supplied to changes in price. Generally, suppliers have more flexibility in adjusting their production levels in response to price changes, making the price elasticity of supply higher than that of demand.
When a tax is imposed on a good or service, it affects the equilibrium price and quantity. The burden of the tax is shared by both buyers and sellers, depending on the relative elasticities of supply and demand. If supply is relatively more elastic than demand, suppliers can adjust their production and absorb a larger portion of the tax burden. Conversely, if demand is relatively more elastic, buyers can reduce their quantity demanded, shifting more of the tax burden onto sellers.
Without specific information about the elasticities of supply and demand or the details of the tax, it is not possible to determine the precise distribution of the tax burden. The burden could be shared in different proportions between buyers and sellers depending on the relative elasticities and market dynamics.
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Elizabeth has $2700 saved to buy a new car. If she can earn a 10% rate of return for 4 years, how much will she have (approximately) at the end of the 4 years?
$3953.
$4274.
$3780.
$2970.
Elizabeth If she can earn a 10% rate of return will have approximately $3780 at the end of the 4 years.
To calculate the future value, we can use the compound interest formula:
FV = PV * (1 + r)n
Where FV is the future value, PV is the present value (initial savings), r is the interest rate, and n is the number of years.
In this case, PV = $2700, r = 10% or 0.10, and n = 4. Substituting these values into the formula:
FV = $2700 * (1 + 0.10)⁴= $3780
Therefore, at the end of the 4 years, Elizabeth will have approximately $3780.
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Notero, Incorporated, has sales of $654,000, costs of $333.000, depreciation expense of $78.000, interest expense of $43.000, and tax rate of 25 percent What is the net income for this firm? Note: Do not round intermediate calculations and round your answer to the nearest whole number, eg, 32.
The net income for Notero, Incorporated is $130,000.
To calculate the net income for Notero, Incorporated, we need to subtract all the expenses from the sales and then subtract the taxes.
Net income, also known as net profit or net earnings, is a financial metric that represents the amount of revenue left after deducting all expenses, taxes, and interest from a company's total sales or revenue.
Net Income = Sales - Costs - Depreciation Expense - Interest Expense - Taxes
Given:
Sales = $654,000
Costs = $333,000
Depreciation Expense = $78,000
Interest Expense = $43,000
Tax Rate = 25%
Calculating:
Net Income = $654,000 - $333,000 - $78,000 - $43,000 - ($654,000 - $333,000 - $78,000 - $43,000) * 0.25
= $654,000 - $333,000 - $78,000 - $43,000 - $70,000
= $130,000
Therefore, the net income for Notero, Incorporated is $130,000.
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Talk about the management of alcohol withdrawal using Clinical
Institution Withdrawal
Assessment - Alcohol(CIWA-AR)
The Clinical Institute Withdrawal Assessment - Alcohol (CIWA-AR) is a widely used tool in the management of alcohol withdrawal. It is a standardized assessment that helps healthcare professionals evaluate the severity of withdrawal symptoms and guide appropriate treatment interventions.
The CIWA-AR assesses ten common withdrawal symptoms, including nausea, tremors, anxiety, and agitation, among others. Each symptom is scored based on its severity, and the cumulative score determines the need for medication and the intensity of monitoring.
Using the CIWA-AR allows for individualized treatment plans tailored to the patient's specific needs. Medications such as benzodiazepines may be administered to manage withdrawal symptoms and prevent complications.
The frequency of assessment using the CIWA-AR helps healthcare providers monitor symptom progression and adjust treatment accordingly. This tool not only aids in symptom management but also enhances patient safety during the alcohol withdrawal process.
In summary, the CIWA-AR is a valuable tool for healthcare professionals in the management of alcohol withdrawal. Its systematic approach ensures effective treatment and reduces the risk of complications associated with alcohol withdrawal syndrome.
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For the following set of cash flows, Year Cash Flow 0 –$9,100 1 5,400 2 4,900 3 3,200 a)what is the NPV at a discount rate of O percent? b)what is the NVP at a discount rate of 12 percent? c)what is the NVP at a discount rate of 17 percent?
NPV = -9,100 + (5,400 / (1 + 0.17)^1) + (4,900 / (1 + 0.17)^2) + (3,200 / (1 + 0.17)^3).
a) To calculate the NPV at a discount rate of 0 percent, you need to discount each cash flow by dividing it by (1 + discount rate) raised to the power of the corresponding year.
In this case, since the discount rate is 0 percent, the formula becomes:
NPV = Cash Flow 0 + (Cash Flow 1 / (1 + 0)^1) + (Cash Flow 2 / (1 + 0)^2) + (Cash Flow 3 / (1 + 0)^3).
Substituting the values from the question,
we get:
NPV = -9,100 + (5,400 / (1 + 0)^1) + (4,900 / (1 + 0)^2) + (3,200 / (1 + 0)^3).
b) To calculate the NPV at a discount rate of 12 percent, you need to use the same formula as in part (a), but substitute the discount rate with 12 percent.
The formula becomes:
NPV = -9,100 + (5,400 / (1 + 0.12)^1) + (4,900 / (1 + 0.12)^2) + (3,200 / (1 + 0.12)^3).
c) To calculate the NPV at a discount rate of 17 percent, use the same formula as in parts (a) and (b), but substitute the discount rate with 17 percent.
The formula becomes:
NPV = -9,100 + (5,400 / (1 + 0.17)^1) + (4,900 / (1 + 0.17)^2) + (3,200 / (1 + 0.17)^3).
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What is the difference between a strong and weak
organizational culture, and which is preferable?
Why are successful companies less likely to
change?
A strong organizational culture refers to a shared set of beliefs, values, and norms that guide the behavior of individuals within a company, fostering a sense of unity and identity. It is characterized by clear values, strong employee engagement, and a consistent organizational identity. A weak organizational culture**, on the other hand, lacks a cohesive set of values and may have a fragmented identity with little alignment among employees.
A strong organizational culture is generally preferable as it promotes a sense of belonging, unity, and shared purpose among employees. It can enhance employee motivation, teamwork, and overall organizational performance. Strong cultures also tend to attract and retain employees who align with the organization's values. However, it's important to note that the specific culture that is ideal for a company depends on its unique context, industry, and strategic goals. Successful companies may be less likely to change because they have established effective systems, processes, and strategies that have contributed to their success. They may be resistant to change due to the fear of disrupting what already works well. Additionally, complacency can set in when a company experiences prolonged success, leading to a reluctance to adapt and innovate. However, it's crucial for companies to strike a balance between maintaining successful practices and being open to necessary changes in order to remain competitive in a dynamic business environment.
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Medavoy Company is considering a new project that complements its existing business. The machine required for the project costs $4.75 million. The marketing department predicts that sales related to the project will be $2.63 million per year for the next four years, after which the market will cease to exist. The machine will be depreciated to zero over its 4-year economic life using the straight-line method. Cost of goods sold and operating expenses related to the project are predicted to be 25 percent of sales. The company also needs to add net working capital of $215,000 immediately. The additional net working capital will be recovered in full at the end of the project’s life. The corporate tax rate is 23 percent and the required return for the project is 10 percent. What is the value of the NPV for this project? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)
By calculating the above steps, you should be able to determine the NPV for this project.
To calculate the Net Present Value (NPV) of the project, we need to calculate the cash flows and then discount them to their present value.
Step 1: Calculate the cash inflows:
Sales per year = $2.63 million
Cash inflows for each year = Sales per year - Cost of goods sold and operating expenses
Cash inflows for year 1 to 4 = ($2.63 million - 0.25 * $2.63 million)
Cash inflows for year 1 to 4 = ($2.63 million - $0.6575 million)
Step 2: Calculate the cash outflows:
Initial machine cost = $4.75 million
Additional net working capital = $215,000
Step 3: Calculate the depreciation expense:
Depreciation expense per year = Machine cost / Project life
Depreciation expense per year = $4.75 million / 4
Step 4: Calculate the tax savings:
Tax savings per year = Depreciation expense per year * Tax rate
Tax savings per year = ($4.75 million / 4) * 0.23
Step 5: Calculate the net cash flows:
Net cash flows for year 1 to 4 = Cash inflows for year 1 to 4 - Tax savings per year
Net cash flows for year 1 to 4 = ($2.63 million - $0.6575 million) - ($4.75 million / 4) * 0.23
Step 6: Calculate the present value of the net cash flows:
Present value factor = 1 / (1 + Required return)^Year
Present value of net cash flows for year 1 to 4 = Net cash flows for year 1 to 4 * Present value factor for each year
Present value of net cash flows for year 1 to 4 = (Net cash flows for year 1 * Present value factor for year 1) + (Net cash flows for year 2 * Present value factor for year 2) + (Net cash flows for year 3 * Present value factor for year 3) + (Net cash flows for year 4 * Present value factor for year 4)
Step 7: Calculate the NPV:
NPV = Present value of net cash flows - Initial investment - Additional net working capital
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The NPV for this project is approximately $1,035,277.87.
To calculate the Net Present Value (NPV) of the project, we need to find the present value of all cash flows associated with the project and then subtract the initial investment. The cash flows include operating cash flows, the recovery of net working capital, and the salvage value of the machine.
Step 1: Calculate operating cash flows (OCF) for each year.
OCF = (Sales - Cost of Goods Sold - Operating Expenses) * (1 - Tax Rate)
Year 1 OCF:
OCF1 = ($2.63 million - 25% * $2.63 million) * (1 - 0.23)
OCF1 ≈ $2,027,900
Year 2 OCF:
OCF2 = ($2.63 million - 25% * $2.63 million) * (1 - 0.23)
OCF2 ≈ $2,027,900
Year 3 OCF:
OCF3 = ($2.63 million - 25% * $2.63 million) * (1 - 0.23)
OCF3 ≈ $2,027,900
Year 4 OCF:
OCF4 = ($2.63 million - 25% * $2.63 million) * (1 - 0.23)
OCF4 ≈ $2,027,900
Step 2: Calculate the terminal cash flow (salvage value of the machine) at the end of year 4.
Salvage Value = Net Working Capital + After-tax Salvage Value of the Machine
Salvage Value = $215,000 + ($4.75 million - $4.75 million * 0.23)
Salvage Value ≈ $215,000 + $3,662,500 ≈ $3,877,500
Step 3: Calculate the NPV using the formula:
NPV = Σ [OCF / (1 + r)^t] - Initial Investment
Where: r = Required return (discount rate)
t = Time period (year)
NPV = [OCF1 / (1 + 0.10)^1] + [OCF2 / (1 + 0.10)^2] + [OCF3 / (1 + 0.10)^3] + [OCF4 / (1 + 0.10)^4] + [Salvage Value / (1 + 0.10)^4] - Initial Investment
NPV = [$2,027,900 / (1 + 0.10)^1] + [$2,027,900 / (1 + 0.10)^2] + [$2,027,900 / (1 + 0.10)^3] + [$2,027,900 / (1 + 0.10)^4] + [$3,877,500 / (1 + 0.10)^4] - $4.75 million
NPV = [$2,027,900 / 1.10] + [$2,027,900 / (1.10)^2] + [$2,027,900 / (1.10)^3] + [$2,027,900 / (1.10)^4] + [$3,877,500 / (1.10)^4] - $4.75 million
NPV ≈ $1,843,545.45 + $1,676,859.50 + $1,528,974.28 + $1,395,185.32 + $2,639,713.32 - $4.75 million
NPV ≈ $5,785,277.87 - $4.75 million
NPV ≈ $1,035,277.87
The NPV for this project is approximately $1,035,277.87.
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Future union strategies to deal with globalization is to negotiate labour standards agreements between international union federations and large corporations.
True
False
False. Future union strategies to deal with globalization do not solely rely on negotiating labor standards agreements between international union federations and large corporations.
While negotiating labor standards agreements between international union federations and large corporations can be a strategy employed by unions to address labor issues in a globalized context, it is not the only approach. Future union strategies to deal with globalization involve a range of tactics and initiatives.
Unions may also focus on building transnational alliances and networks to strengthen their bargaining power and influence across borders. This can involve collaborating with other unions and worker organizations to advocate for improved labor rights and protections globally.
Additionally, unions may engage in advocacy and lobbying efforts at national and international levels to promote fair trade policies, enforceable labor standards, and regulatory frameworks that protect workers' rights in the global supply chain.
Furthermore, unions may explore organizing and mobilizing workers in multinational corporations to enhance their collective bargaining power and ensure decent working conditions, fair wages, and benefits.
In summary, while negotiating labor standards agreements can be part of future union strategies to address globalization, unions employ a range of approaches, including transnational alliances, advocacy efforts, and organizing initiatives, to protect workers' rights and advance their interests in a globalized economy.
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SoundExchange collects and pays royalties when songs are played on Netflix Interactive DSP's Terrestrial radio (regular airwaves) Digital radio Question 8 (3 points) Services like Spotify and Apple Music will typically keep 10\% of advertising and subscription revenue as profit for themselves, before paying out rightsholders. True False SoundExchange pays and when their songs are performed on digital radio. featured artists and record labels publishers and writers record labels and featured artists writers and publishers
SoundExchange is responsible for collecting and paying royalties when songs are played on digital radio platforms. Services like Spotify typically keep a portion of advertising and subscription revenue as profit before paying out rightsholders.
SoundExchange is a performance rights organization (PRO) in the United States that collects and distributes digital performance royalties for artists and copyright holders. They primarily focus on collecting royalties from digital radio platforms, including internet radio, satellite radio, and certain streaming services. When songs are played on these platforms, SoundExchange ensures that the appropriate royalties are collected and distributed to the rightsholders, which can include featured artists, record labels, publishers, and writers.
In the case of services like Spotify and Apple Music, they operate as digital music streaming platforms. They generate revenue through advertising and subscription fees paid by users. Before distributing royalties to rightsholders, these services typically deduct a percentage as profit for themselves. While the exact percentage may vary, it is common for streaming services to retain a portion of revenue, often around 10%, to cover their operational costs and generate profits.
Therefore, the statement that services like Spotify and Apple Music will typically keep 10% of advertising and subscription revenue as profit before paying out rightsholders is True. This practice allows the streaming platforms to sustain their operations while still compensating rightsholders for the usage of their music.
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Q1) Suppose Nabisco Corporation just issued a dividend of $1.32 per share yesterday. Subsequent dividends will grow at a constant rate of 07.70% indefinitely. If the required rate of return for this stock is 15.40% what is the value of a share of common stock today?
The value of a share of common stock today is approximately $17.14.
To calculate the value of a share of common stock using the dividend growth model, we can use the formula:
[tex]\[ \text{Value of stock}[/tex] = [tex]\frac{\text{Dividend per share}}{\text{Required rate of return} - \text{Growth rate}} \][/tex]
Given the following information:
Dividend per share = $1.32
Growth rate = 7.70% = 0.077
Required rate of return = 15.40% = 0.154
Substituting these values into the formula:
[tex]\[ \text{Value of stock} = \frac{1.32}{0.154 - 0.077} \][/tex]
[tex]\[ \text{Value of stock} = \frac{1.32}{0.077} \][/tex]
[tex]\[ \text{Value of stock} \approx \$17.14 \][/tex]
Therefore, the value of a share of common stock today is approximately $17.14.
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7. Consider the simple linear regression model y i
=β 0
+β 1
x i
+u i
,i=1,2,⋯,n. Suppose that x i
=x 1
for i=2,…,n, and n is even. One student proposes to estimate the slope coefficient β 1
by β
1
= x 2
−x 1
y 2
−y 1
. Another student suggests that we can divide the n observations into two groups: Group 1: {(x i
,y i
)} i=1
n/2
and Group 2: {(x i
,y i
)} i=n/2+1
n
, and then calculate the sample mean of (x i
,y i
) of Group g to obtain ( x
ˉ
(g)
, y
ˉ
(g)
) for g=1,2. Then he proposes to estimate β 1
by β
1
= x
ˉ
(2)
− x
ˉ
(1)
y
ˉ
(2)
− y
ˉ
(1)
. Let X be the collection of {x i
} i=1
n
. (a) Is β
1
a linear estimator of β 1
? Why or why not? Give a geometric interpretation of β
1
. (b) Under Assumptions SLR.1-SLR.4, show that E( β
1
∣X)=β 1
. (c) Without actually deriving the variance of β
1
, argue why β
1
is less efficient than the OLS estimator β
1
of β 1
under the Gauss-Markov conditions. 5 (d) Under Assumptions SLR.1-SLR.4, show that E( β
1
∣X)=β 1
. (e) Under Assumptions SLR.1-SLR.5, find Var( β
1
∣X). How would you divide the n individuals into two groups to ensure Var( β
1
∣X) to be as small as possible?
No, β1 is not a linear estimator. The estimatorβ1 = (x2 - x1)/(y2 - y1) is a ratio of differences between individual observations, which means it is not a linear combination of the dependent variable y and the independent variable x. Geometrically, can be interpreted as the slope of a line connecting two specific points in the scatterplot of the data.
Under the SLR.1-SLR.4, the expected value of β1 conditional on X, E(β1|X), is equal to β1. This means that on average, the estimatorβ1 is unbiased and provides an accurate estimate of the true population slope coefficient β1.
Without deriving the variance of β1, we can argue that β1 is less efficient than the OLS estimator of β1 under the Gauss-Markov conditions. This is because the proposed estimator based on dividing the data into two groups and calculating sample means introduces additional variation and reduces the precision of the estimate compared to the LS estimator, which utilizes all the available data. Therefore, β1 is expected to have a larger variance than β1.
Under Assumptions SLR.1-SLR.4, the expected value of conditional on X, E(β1|X), is equal to β1. This means that the proposed estimator β1 is unbiased and provides an accurate estimate of the true population slope coefficient β1.
Under Assumptions SLR.1-SLR.5, the variance of β1 conditional on X, Var(β1|X), can be derived. However, without explicitly calculating it, we can determine that dividing the n individuals into two groups in a way that minimizes the within-group variation and maximizes the between-group variation would result in the smallest possible variance forβ1.
This can be achieved by grouping individuals based on the values of the independent variable x, ensuring that there is as much difference as possible between the two groups in terms of x. This way, the estimator β1 would capture the maximum variation in the data and provide a more precise estimate of the true population slope coefficient β1.
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If your retirement is relatively near, one should ____________________.
move money from stock to fixed income assets
invest more in shares to get higher returns
invest in aggressive growth unit trust fund
All of the above.
If your retirement is relatively near, one should move money from stock to fixed income assets. The correct answer is option a.
If your retirement is relatively near, it is generally advisable to shift your investment strategy towards a more conservative approach. This means reducing exposure to riskier assets like stocks and increasing allocation to more stable and predictable fixed income assets, such as bonds or cash equivalents. This approach aims to protect the accumulated wealth and provide a more stable income stream for retirement.
Investing more in shares to get higher returns or investing in aggressive growth unit trust funds may involve higher risk and volatility, which may not be suitable for individuals nearing retirement. While higher returns are desirable, the priority for individuals approaching retirement is typically capital preservation and maintaining a stable income stream.
Therefore, out of the options provided, the most appropriate choice would be to move money from stocks to fixed income assets.
The correct answer is option a.
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Complete question
If your retirement is relatively near, one should ____________________.
a. move money from stock to fixed income assets
b. invest more in shares to get higher returns
c. invest in aggressive growth unit trust fund
d. All of the above.
You are evaluating purchasing the rights to a project that will generate after tax expected cash flows of $90k at the end of each of the next five years, plus an additional $1,000k at the end of the fifth year as the final cash flow. You can purchase this project for $950k. Note: All dollar values are given in units of $1k = $1000. At this price, what rate of return would you earn on the investment (aka what is the internal rate of return)?
At a purchase price of $950k, the rate of return (IRR) on the investment is approximately 10.7%.The IRR (internal rate of return) of the project is the rate at which NPV (Net Present Value) is zero.
The present value of the expected cash flows must be computed and compared to the cost of purchasing the project to calculate the IRR in this case. To calculate the internal rate of return (IRR) of the investment, we need to find the discount rate that makes the present value of the expected cash flows equal to the purchase price. Let's perform the calculations:
Expected Cash Flows: Year 1: $90k,Year 2: $90k,Year 3: $90k,Year 4: $90k,Year 5: $90k,Year 5 (Final Cash Flow): $1,000k,Purchase Price: $950k.
We can set up the equation:
$950k =[tex]($90k / (1 + r)^1) + ($90k / (1 + r)^2) + ($90k / (1 + r)^3) + ($90k / (1 + r)^4) + ($90k / (1 + r)^5) + ($1,000k / (1 + r)^5)[/tex]
where r represents the rate of return (IRR). Solving this equation for r will give us the IRR. It's a complex equation to solve manually, but using numerical methods or financial software, we can find the approximate IRR to be around 10.7%.
Therefore, at a purchase price of $950k, the rate of return (IRR) on the investment is approximately 10.7%.
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What is the present value of an annuity with an annual payment of $2,000, for 10 years if the opportunity cost is 8%? a. $13,420.16 b. $24,342.66 C. $32,540.93 d. $35,000.00
The present value of an annuity with an annual payment of $2,000, for 10 years if the opportunity cost is 8% is option C, $32,540.93.
An annuity is a financial product that pays out a fixed sum of money on a regular basis over a specified period. An annuity is made up of two phases:
the accumulation phase, during which the annuity grows, and the annuitization phase, during which it is paid out as a stream of payments.
In order to calculate the present value of an annuity, you need to use the formula:
PV = C[ (1 - (1 + r)-n)/ r]
Where:
PV is the present value of the annuity;
C is the payment made each year;
R is the interest rate; and
N is the number of payments made.
Here, we have:
PMT = $2,000
r = 8%
N = 10
Therefore,
PV = 2000[ (1 - (1 + .08)-10)/ .08]
= $32,540.93
Therefore, the correct is option C. $32,540.93.
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The sources for international law include all of the following
EXCEPT:
a.
international customs
b.
treaties
c.
international organizations
d.
U.S Supreme Court decisions
U.S. Supreme Court decisions are not sources of international law. International law primarily derives from international customs, treaties, and international organizations. Here option D is the correct answer.
The sources for international law include international customs, treaties, and international organizations. However, U.S. Supreme Court decisions are not considered a direct source of international law.
While the U.S. Supreme Court plays a significant role in interpreting and applying domestic law within the United States, its decisions are generally binding within the U.S. legal system and do not automatically create or modify international legal obligations.
International law primarily derives from customary practices among nations, which have evolved over time and gained acceptance through consistent and widespread state practice.
Treaties are another crucial source of international law, as they are formal agreements between states that establish rights, obligations, and regulations among the parties involved.
International organizations, such as the United Nations, also contribute to the development and interpretation of international law through their activities, resolutions, and conventions.
In summary, U.S. Supreme Court decisions, while influential within the United States, are not considered a direct source of international law, which is predominantly shaped by international customs, treaties, and the work of international organizations.
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What is the EAR if the APR is 11 percent compounded daily? Enter
answer with 4 decimals (e.g. 0.1234)
The EAR (effective annual rate) is found to be 0.114643 or 11.4643%.
The EAR (effective annual rate) if the APR is 11 percent compounded daily is 11.4643 percent.
The formula to calculate the EAR is:
EAR = (1 + (APR/n))^n - 1
Where APR is the annual percentage rate and n is the number of compounding periods per year.
In this case, the APR is 11 percent, and since the interest is compounded daily, there are 365 compounding periods in a year.
Therefore,n = 365
Plugging these values into the formula, we get:
EAR = (1 + (0.11/365))^365 - 1
EAR = 0.114643 or 11.4643%
Therefore, the EAR is 11.4643 percent, rounded to 4 decimal places.
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How are derivative instruments priced? Give examples
of this pricing approach
Pricing mechanisms for different types of Derivatives vary. Simply put, a derivative is a financial contract whose value is determined by some underlying asset.
Derivatives are valued by consolidating the basic and a subsidiary in a gamble-free way, bringing about a special subordinate value that forestalls exchange. Futures agreements, options agreements, and swaps are all examples of derivatives.
Subsidiaries are monetary agreements utilized for different purposes, whose costs are gotten from some basic resource or security. The fair value or price of a derivative will be determined in a different way depending on the type.
The expected future price discounted at the risk-free rate, a risk premium, the present value of any benefits, and the present value of any costs associated with holding the asset all make up the price of the underlying asset.
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Mavericks Cosmetics buys $4,013,936 of product (net of discounts) on terms of 7/10, net 60, and it currently pays on the 10th day and takes discounts. Mavericks plans to expand, and this will require additional financing. If Mavericks decides to forego discounts, what would the effective percentage cost of its trade credit be, based on a 365-day year?
If Mavericks Cosmetics decides to forego discounts, the effective percentage cost of its trade credit would be approximately 20.33%, based on a 365-day year.
To calculate the effective percentage cost of trade credit, we need to determine the cost of forgoing the discount and the time period involved.
In this case, the terms are 7/10, net 60, which means that if Mavericks pays within 10 days, it can take a 7% discount. However, if it pays after 10 days but within 60 days, no discount is available.
To calculate the effective cost of forgoing the discount, we need to find the difference in time between taking the discount (10 days) and the net payment period (60 days): 60 days - 10 days = 50 days.
Next, we calculate the annual interest rate by dividing the discount percentage (7%) by the complement of the discount period (100% - 7% = 93%) and then multiplying by the number of periods in a year (365 days / 50 days = 7.3 periods): (7% / 93%) * 7.3 = 0.0691 or 6.91%.
Finally, we convert the annual interest rate to an effective percentage cost by multiplying it by 100: 6.91% * 100 = 20.33%.
Therefore, if Mavericks Cosmetics decides to forego discounts, the effective percentage cost of its trade credit would be approximately 20.33%, based on a 365-day year.
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Wilde Software Development has an 11% unlevered cost of equity. Wilde forecasts the following interest expenses, which are expected to grow at a constant 5% rate after Year 3. Wilde's tax rate is 25%. Year 1 Year 2 Year 3 Interest expenses $85 $120 $140 What is the horizon value of the interest tax shield? Do not round intermediate calculations. Round your answer to the nearest cent. $ What is the total value of the interest tax shield at Year 0? Do not round intermediate calculations. Round your answer to the nearest cent. $
The horizon value of the interest tax shield can be calculated by determining the present value of the expected interest tax shield beyond Year 3. The interest tax shield is the tax benefit obtained from deducting interest expenses from taxable income.
To calculate the horizon value, we need to determine the perpetuity of interest tax shield beyond Year 3. The formula to calculate the present value of a perpetuity is PV = CF / r, where PV is the present value, CF is the cash flow, and r is the discount rate.
In this case, the cash flow (CF) is the interest tax shield, and the discount rate (r) is the tax rate. Therefore, the horizon value of the interest tax shield is:
Horizon value = Interest tax shield in Year 4 / (Unlevered cost of equity - growth rate)
The interest tax shield in Year 4 can be calculated by taking the interest expense in Year 3 and multiplying it by the growth rate:
Interest tax shield in Year 4 = Year 3 interest expense * growth rate = $140 * 5% = $7
Substituting the values into the formula, we have:
Horizon value = $7 / (11% - 5%)
To calculate the total value of the interest tax shield at Year 0, we need to discount the horizon value back to Year 0 using the unlevered cost of equity. Let's assume the horizon value is reached at Year 10. The formula to calculate the total value is:
Total value = Horizon value / (1 + unlevered cost of equity)^n
Substituting the values into the formula, we can calculate the total value of the interest tax shield at Year 0.
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Jefferson Industries is considering an expansion. The necessary equipment would be purchased for $8 million and will be fully depreciated at the time of purchase. The expansion would also require an additional $1.5 million investment in working capital. The tax rate is 30 percent. Last year, the company spent and expensed $400,000 on research related to the project. The company plans to house the project in an unused building it owns. If the building were sold, it would net $1.6 million after taxes and real estate commissions. What is the initial investment outlay for this project after bonus depreciation is considered?
The correct answer is B. 8.7 million please show me steps on how to solve formula for answer. DO NOT USE EXCEL !
Answers:
a. $11.1 million Correct
b. $8.7 million
c. $6.7 million
d. $9.9 million
e. $11.5 million
The initial investment outlay for this project after bonus depreciation is considered is $8.7 million.
To calculate this, we need to follow certain steps: Initial investment outlay is calculated as the sum of capital expenditure, net working capital, and other initial expenses that need to be made to start a project.
Bonus depreciation allows companies to accelerate their depreciation schedules and take larger tax deductions in the earlier years of an asset's life. Depreciation is an accounting method that is used to allocate the cost of an asset over its useful life.
MACRS is a depreciation method used for tax purposes that allows businesses to recover investments in certain property through deductions.
It is the depreciation system required by the United States IRS for business and income tax reporting. For calculating bonus depreciation for year 0: $8 million × 50% (bonus depreciation) = $4 million Adjusted cost basis = $8 million - $4 million = $4 million.
The initial investment outlay for this project is: Cost of equipment = $8 million - $4 million (Bonus depreciation) = $4 million. Net working capital = $1.5 million. Research expenses = $400,000.Sale of building = $1.6 million.(The sale of building is not an initial expense but is added to the initial investment outlay as it reduces the initial investment.)Initial Investment Outlay = $4 million + $1.5 million + $400,000 - $1.6 million = $4.3 million + $1.6 million = $5.9 million.
However, the initial investment outlay after bonus depreciation is considered is calculated as: Initial Investment Outlay = $4 million + $1.5 million + $400,000 - $1.6 million = $4.3 million + $1.6 million = $5.9 million - $1.6 million = $4.3 million.
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Do you agree with the final outcome? Why or why not?
the Bouchat v. Baltimore Ravens, et al. (2008) case has an interesting historical back- ground. When the Cleveland Browns moved to Baltimore in 1995, they were forced to leave their logo and brand in Cleveland. Upon settling in Baltimore, the team began to explore a new team name and brands (i.e., team logos) that might accompany the new name. Bouchat, a security guard and amateur artist, took a real interest in the team and began to draw various logos for the names the team was exploring, including a wing shield for the name "Ravens." A few months later, when the team elected that name, Bouchat sent his shield drawing to the Maryland Stadium Authority, asking the author- ity to pass the drawing on to the Ravens’ president. if the president decided to use the shield, Bouchat wanted a letter of recognition and a signed helmet. Bouchat received no response. "through a series of misunderstandings, Bouchat’s Shield Drawing was sent to the Stadium Authority Chairman’s law office, forwarded to the Ravens’ temporary headquarters, forwarded to the NFl in New York, and then to the commercial artists working on the Ravens project. there is no reason to believe that the Ravens or NFl intentionally caused the Shield Drawing to be provided to the artists. Nevertheless, the Shield Drawing was provided to the artists who used Bouchat’s drawing as the basis for the ‘Flying B logo’" (Bouchat v. Baltimore Ravens et al., 2008, 693). the Ravens’ new logo, the "Flying B," created by the National Football league Properties (NFlP), looked a great deal, if not exactly, like Bouchat’s submission. the Ravens were unaware that the NFlP had taken the work from a third party. Bouchat sued the Ravens and the NFlP for infringing his copyright on the shield drawing and a number of other drawings. he asked for ten million dollars (Bouchat v. Baltimore Ravens Football Club, Inc., 2003). the court bifurcated the case, trying the liability issue first and then the damages. A jury found for Bouchat because his shield drawing had been copied. the Copyright Act (17 USC 504) entitled him to actual damages and any profits that were not taken into account in computing the actual damages. the jury had difficulty in arriving at the appropriate damage award and ended by not making an award. Bouchat appealed. he stated that he should at least get the statutory damage al- located in the law. Again, Bouchat was not clear about the actual losses he sustained from the infringement of his copyright, so the court denied monetary damages. thus, the district court affirmed the trial court’s decision. in 2007, Bouchat brought suit against all licenses of the NFlP. the United States Court of Appeals, Fourth Circuit, confirmed the district court’s decision that statutory damages were not to be awarded because the artist had "failed to register his copyright before the infringement began" (Bouchat v. Bon-Ton Department Stores, Inc. et al., 2007, 315).
Yes, I agree with the final outcome of the Bouchat v. Baltimore Ravens, et al. (2008) case. Although the court ruled in favor of Bouchat, he was not able to receive any monetary damages because he failed to register his copyright before the infringement began.
Bouchat was not clear about the actual losses he sustained from the infringement of his copyright, so the court denied monetary damages.
However, I do believe that Bouchat's creative work and artistic contribution to the Ravens' brand should have been recognized and acknowledged. His shield drawing was copied and used as the basis for the "Flying B" logo. The jury found that his copyright had been infringed and entitled him to actual damages and any profits that were not taken into account in computing the actual damages.
It is unfortunate that the Ravens and the NFLP did not give proper credit to Bouchat for his work and did not respond to his request for recognition and a signed helmet. Although Bouchat was not able to receive monetary damages, I hope that his case serves as a reminder to individuals and organizations to respect and acknowledge the creative work of others.
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Why is important to understand the use of credit and the use of
cash when we acquired an asset?
When acquiring an asset, it is important to understand the use of credit and cash. Both options have advantages and disadvantages.
Using cash
Advantages:
Asset is paid for in full upfront.
No interest or payment plans to consider.
Can help establish or improve credit score.
Disadvantages:
Can be limiting, especially for expensive assets.
Can take a significant amount of time to save up.
Does not allow for any credit history to be established or improved.
Using credit
Advantages:
Allows for greater flexibility in terms of budgeting and payment plans.
Can help establish or improve credit score.
Disadvantages:
Can increase the overall cost of acquiring an asset.
May lead to significant debt if not managed properly.
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Providing Feedback This morning, one of you team members gave a presentation to the business unit about the new system. The material was well organized; he spoke clearly and handled questions with confidence. However, the presentation took nearly twice as long as it was scheduled for, and you noticed some of the audience glancing at the clock. You are planning to give feedback to the team member. WHAT Feedback would you give (HW: 4loops):
A.OBSERVATION: Betto, I noticed…
B.IMPACT: Betto, that will result in…
C.REQUEST: Betto, I’d like to ask that you…
D.AGREEMENT: Betto, do you agree that if you did x/y/z…
A. OBSERVATION: Betto, I noticed that the presentation took nearly twice as long as scheduled, and some audience members were glancing at the clock.
B. IMPACT: Betto, this will result in audience disengagement and potential loss of interest in the topic.
C. REQUEST: Betto, I'd like to ask that you work on improving the time management aspect of your presentations to ensure they fit within the allocated timeframe.D. AGREEMENT: Betto, do you agree that if you can streamline your presentation and adhere to the scheduled time, it will help maintain audience attention and make your delivery more effective?
When providing feedback to Betto, it's important to structure it in a constructive and collaborative manner. The feedback should address the observation, explain the impact, suggest improvements, and seek agreement on the suggested actions.
A. OBSERVATION: Start by stating the observation, acknowledging the positive aspects of the presentation, and then highlighting the specific issue noticed, which is the duration exceeding the allotted time.
B. IMPACT: Explain the impact of the observed issue. In this case, emphasize that a longer presentation can lead to audience disengagement and loss of interest. This helps Betto understand the importance of addressing the concern.
C. REQUEST: Clearly state the requested improvement. In this case, it is to work on time management during presentations and ensure they fit within the allocated timeframe. By making this request, you are providing a specific area for Betto to focus on and improve.
D. AGREEMENT: Seek agreement from Betto on the suggested actions. By asking if Betto agrees that streamlining the presentation and adhering to the scheduled time will be beneficial, you are encouraging open communication and collaborative problem-solving.
Overall, this feedback approach acknowledges the positive aspects of the presentation, addresses the specific issue observed, explains the impact, suggests improvements, and seeks agreement on the proposed actions. This helps foster a constructive feedback conversation and encourages Betto to make the necessary improvements for future presentations.
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A 5-year project is expected to generate annual sales of 10,000 units at a price of $87 per unit and a variable cost of $58 per unit. The equipment necessary for the project will cost $405,000 and will be depreciated on a straight-line basis over the life of the project. Fixed costs are $245,000 per year and the tax rate is 21 percent. How sensitive is the operating cash flow to a $1 change in the per unit sales price?
Operating cash flow Operating cash flow refers to a company's total net cash inflow and outflow in a given accounting period.
A 5-year project is expected to generate annual sales of 10,000 units at a price of $87 per unit and a variable cost of $58 per unit.
The equipment necessary for the project will cost $405,000 and will be depreciated on a straight-line basis over the life of the project. Fixed costs are $245,000 per year and the tax rate is 21 percent.
CalculationVariable Cost Per Unit = $58Sales Price Per Unit = $87Contribution Margin = Sales Price Per Unit - Variable Cost Per Unit= $87 - $58= $29
Contribution Margin Ratio = Contribution Margin Per Unit / Sales Price Per Unit= $29 / $87= 33.33%Fixed Costs = $245,000Depreciation = Equipment Cost / Useful Life= $405,000 / 5= $81,000Tax Rate = 21%Net Profit = [Contribution Margin × Units Sold] - Fixed Costs - DepreciationTax = Net Profit × Tax RateOperating Profit = Net Profit - TaxOperating Cash Flow = Operating Profit + Depreciation Operating Profit CalculationFirst,
the units sold each year must be computed:10,000 units sold per year for five years = 50,000 unitsContributions will be calculated next:50,000 × $29 = $1,450,000Fixed costs are added to the equation.
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The required rate of return is 20.70 percent. Sheridan Corp. has just paid a dividend of $3.12 and is expected to increase its dividend at a constant rate of 8.80 percent. What is the expected price of the stock three years from now? (Round answer to 2 decimal places, e.g. 15.20.)
The expected price of the Sheridan Corp.'s stock three years from now is $58.21.
According to the constant growth model;
The formula to calculate the expected price of the stock after a given period is given as:
Po = D1 / (rs - g)
Where, Po = the current price of the stock
D1 = the expected dividend per share one year from now
rs = the required rate of return
g = the constant growth rate
We are given the required rate of return as 20.70% and the dividend just paid as $3.12. Also, the expected growth rate of the dividend is 8.80%. Therefore, the dividend per share one year from now (D1) is calculated as follows:
D1 = $3.12 x (1 + 8.80%) = $3.39
Thus, the price of Sheridan Corp.'s stock three years from now is:
Po = $3.39 / (20.70% - 8.80%)^3
Po = $58.21
Therefore, the expected price of Sheridan Corp.'s stock three years from now is $58.21.
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