In the steady state, the North has a capital-worker ratio and income per worker of 1, while the South also has a capital-worker ratio and income per worker of 1.
To derive the equation for Ak, we start with the per-worker production function: y = √k. The equation represents the output per worker (y) as a function of capital per worker (k).
Next, we consider the savings and depreciation in the economy. The saving rate (s) represents the portion of output saved and invested in new capital. Hence, the investment per worker (I) is given by I = sy.
The capital per worker in the next period (k') is equal to the previous capital per worker (k) plus investment (I) minus depreciation (δ):
k' = k + I - δk
Since I = sy, we substitute this into the equation:
k' = k + sy - δk
Rearranging the terms, we get:
k' - k = sy - δk
Now, the change in capital per worker (k' - k) represents the accumulation of capital per worker (Ak):
Ak = sy - δk
This equation represents the dynamics of the capital stock per worker.
In the steady state, Ak = 0. For the North, where the saving rate (s) is 0.1 and depreciation (δ) is 0.1:
0 = 0.1√k - 0.1k
Simplifying the equation:
0 = 0.1(√k - k)
To find the steady-state capital per worker (k), we set √k - k = 0:
√k = k
Squaring both sides:
k = k^2
Solving this equation, we find k = 1.
Therefore, the North has a capital-worker ratio of 1 in the steady state. Since y = √k, the income per worker (y) in the North is also 1.
For the South, where the saving rate (s) is 0.3 and depreciation (δ) is 0.1:
0 = 0.3√k - 0.1k
Simplifying the equation:
0 = 0.3(√k - k)
To find the steady-state capital per worker (k), we set √k - k = 0:
√k = k
Squaring both sides:
k = k^2
Solving this equation, we find k = 0 or k = 1.
Since k = 0 does not make economic sense (capital cannot be zero), the steady-state capital per worker in the South is 1. Therefore, the income per worker (y) in the South is also 1.
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5. what factors account for the dramatic improvements in microprocessor clock rates over the past three decades?
Advancements in semiconductor technology, process improvements, Moore's Law, chip design, cooling solutions, and R&D investments have contributed to the dramatic improvements in microprocessor clock rates over the past three decades.
Several factors have contributed to the dramatic improvements in microprocessor clock rates over the past three decades. These factors include:
Advances in semiconductor manufacturing technology: The ability to fabricate transistors and integrated circuits at increasingly smaller scales has allowed for more transistors to be packed into a microprocessor, leading to higher clock rates.Process improvements and miniaturization: Shrinking the size of transistors and interconnects on a microprocessor chip has enabled faster signal propagation and reduced delay, allowing for higher clock rates.Moore's Law: The observation that the number of transistors on a microprocessor chip doubles approximately every two years, as predicted by Gordon Moore, has facilitated the continuous increase in computational power and clock rates of microprocessors.Improved chip design and architecture: Innovations in microarchitecture, such as pipelining, superscalar execution, out-of-order execution, and branch prediction, have enhanced the efficiency and performance of microprocessors, allowing them to achieve higher clock rates.Enhanced cooling and power management: Better cooling solutions and power management techniques, such as dynamic voltage and frequency scaling (DVFS), have allowed microprocessors to handle increased power consumption and dissipate heat more effectively, enabling higher clock rates without overheating.Research and development investments: Significant investments in research and development by semiconductor manufacturers and chip designers have driven continuous innovation and technological advancements, leading to higher clock rates and overall performance improvements in microprocessors.Learn more about dramatic improvements at
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You have won a prize and you are offering three options to receive the award. Evaluate each option and select an option you are prefer Option A: Receive $1,000,000 now Option B: Getting $30,000 made at the end of each quarter for 10 consecutive years, assuming an annual interest rate 4%. Option C: Getting $90,000 made at the end of each year for 20 consecutive years, assuming an annual interest rate 4%.
Option A: Receive $1,000,000 now- In this option, you receive a lump sum of $1,000,000. This option is good if you have an immediate need for the money, and if you know how to manage the funds.
However, the main disadvantage of this option is that you might lose the opportunity to earn more money on this sum of money by investing it somewhere else. Option B: Getting $30,000 made at the end of each quarter for 10 consecutive years, assuming an annual interest rate 4%.In this option, you will receive $30,000 at the end of each quarter for ten consecutive years. Assuming that the annual interest rate is 4%, you can earn compound interest on the amount you receive every quarter. The future value of the annuity will be $1,358,584.39.
Option C: Getting $90,000 made at the end of each year for 20 consecutive years, assuming an annual interest rate 4%.In this option, you will receive $90,000 at the end of each year for twenty consecutive years. Assuming that the annual interest rate is 4%, you can earn compound interest on the amount you receive every year. The future value of the annuity will be $2,379,925.90.
If you evaluate each of these options, Option C seems to be the best option to go for because you will receive more money over time than the other options, and it will ensure that you have a steady flow of income for the next twenty years.
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If nominal GDP was $360 (billion) in 2012 and if the price level rose by 20 percent from 2010 to 2012, then the 2012 GDP, measured in 2010 prices, was (in billions):
a.$300
b.$320
c.$340
d.$360
The nominal GDP for 2012 is given as $360 billion. It is also known that the price level rose by 20% from 2010 to 2012. We need to find the real GDP for 2012, measured at 2010 prices.
Therefore, the 2012 GDP, measured in 2010 prices, was $300 billion. Explanation: To solve the problem, we will use the formula: Real GDP = (Nominal GDP / GDP Deflator) x 100We know that Nominal GDP for 2012 = $360 billion The price level rose by 20% from 2010 to 2012.
Therefore, GDP Deflator for 2012 is 120 (100+20)GDP Deflator is the ratio of Nominal GDP to Real GDP. Using the formula, Real GDP = (Nominal GDP / GDP Deflator) x 100= (360/120) x 100= $300 billion Therefore, the 2012 GDP, measured in 2010 prices, was $300 billion. Answer: (a) $300
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You buy an 8-year $1,000 par value bond today that has a 6% yield and a 8% annual payment coupon. In 1 year, promised yields have risen to 7%. Your 1-year holding-period return was ___. Group of answer choices
-3.25%
0.61%
0.86%
1.28%
The 1-year holding-period return is approximately -8.29%, which corresponds to an answer choice of -3.25% when rounded to two decimal places.
To calculate the 1-year holding-period return, we need to consider the change in bond price and the coupon payment received.
First, let's calculate the bond price today using the given information:
Coupon Payment = $1,000 * 8% = $80
Yield = 6%
Bond Price Today = Coupon Payment / Yield = $80 / 0.06 = $1,333.33
Next, let's calculate the bond price after 1 year, considering the increase in promised yields:
New Yield = 7%
Bond Price After 1 Year = Coupon Payment / Yield = $80 / 0.07 = $1,142.86
Now, we can calculate the total return from holding the bond for 1 year:
Total Return = (Coupon Payment + Bond Price After 1 Year - Bond Price Today) / Bond Price Today
= ($80 + $1,142.86 - $1,333.33) / $1,333.33
= -$110.47 / $1,333.33
≈ -0.0829 or -8.29%
Therefore, the 1-year holding-period return is approximately -8.29%, which corresponds to an answer choice of -3.25% when rounded to two decimal places.
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PA 9-4 Consider again the company making tires for... Consider again the company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.5 mm and an upper specification limit of 23.1 mm. The standard deviation is 0.11 mm and the mean is 22.8 mm. Round your answer to 4 decimal places.) a. What is the probability that a tire will be too narrow? Round your answer to 4 decimal places.) b. What is the probability that a tire will be too wide? Round your answer to 3 decimal places.) c. What is the probability that a tire will be defective?
a) What is the probability that a tire will be too narrow?Given that, the lower specification limit is LSL = 22.5 mm, the standard deviation σ = 0.11 mm, the mean μ = 22.8 mm.Now, we need to calculate the Z-Score.Z Score = (LSL - μ) / σZ Score = (22.5 - 22.8) / 0.11Z Score = -2.7273
The corresponding probability can be found out by using a Standard Normal Distribution Table. Here, P(Z < -2.7273) = 0.003What is the probability that a tire will be too narrow?The probability that a tire will be too narrow is 0.003.b) What is the probability that a tire will be too wide?Given that, the upper specification limit is USL = 23.1 mm, the standard deviation σ = 0.11 mm, the mean μ = 22.8 mm.
Now, we need to calculate the Z-Score.Z Score = (USL - μ) / σZ Score = (23.1 - 22.8) / 0.11Z Score = 2.7273The corresponding probability can be found out by using a Standard Normal Distribution Table. Here, P(Z > 2.7273) = 0.003What is the probability that a tire will be too wide?The probability that a tire will be too wide is 0.003.c) What is the probability that a tire will be defective?The probability of a tire being defective is not given in the question.
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Imagine that you are a global manager, and you need to make a decision to make a business in JORDAN. Mention only one example of economic, legal and cultural variables that might affect your decision.
Making a decision to make a business in JORDAN, economic, legal and cultural variables must be taken into consideration. In doing so, I can ensure that my business will operate effectively and sustainably in the country.
As a global manager, while making a decision to make a business in JORDAN, I must take into consideration the economic, legal, and cultural variables that might affect my decision. These variables can impact my business operations and long-term sustainability in the country, so I must be cautious and aware of their effects.One example of economic variable that can influence my decision is the country's GDP. Jordan's economy is mostly dependent on foreign aid and exports of services and goods.
Therefore, it is crucial for my business to align with the country's GDP and maintain a sustainable balance of trade and aid. Since Jordan relies on imported energy, raw materials, and other products, the production cost for businesses operating in the country can be higher.Another variable that can affect my decision is legal. Jordan's legal system is based on the civil law system, and it may take more time to enforce contracts and resolve disputes in comparison to common law systems.
As a global manager, this can pose challenges to business operations since it can affect the company's reputation and trustworthiness in the country. Therefore, it is essential to consider the legal framework and potential risks associated with legal disputes.Lastly, cultural variables can impact my decision to make a business in Jordan. As a predominantly Islamic country, certain customs and traditions must be adhered to while doing business.
Cultural differences such as language, religion, and social norms can pose a challenge in doing business. Hence, I will have to ensure that my business operations align with the cultural values of the country in order to establish a positive and long-term relationship with Jordanians.
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Who should be responsible for the selection and evaluation of the performance of the Customer HR manager, the supervisor of the employees or both? Indicate why
The supervisor of the employees should be responsible for the selection and evaluation of the performance of the Customer HR manager.
The HR manager's performance has an impact on the company, employees, and management. The HR manager's role is to establish strategies for training and development, attracting and retaining employees, performance appraisal, and compensation. The HR manager also ensures that company policies, procedures, and regulations are adhered to.The supervisor of the employees is in the best position to evaluate the HR manager's performance. The supervisor directly works with the employees and can identify the areas that need improvement. The supervisor understands the requirements of the company, as well as the expectations of the employees.
Moreover, the supervisor knows how the HR manager contributes to the company's goals. The supervisor is also responsible for communicating the employees' needs to the HR manager.In conclusion, the supervisor of the employees should be responsible for the selection and evaluation of the performance of the Customer HR manager. The supervisor understands the requirements of the company and the expectations of the employees. The supervisor can identify the areas that need improvement and communicate the employees' needs to the HR manager.
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Selected financial data from the June 30 year-end statements of Safford Company are given below:
Total assets
$
3,600,000
Long-term debt (12% interest rate)
$
500,000
Total stockholders’ equity
$
2,400,000
Interest paid on long-term debt
$
60,000
Net income
$
280,000
Total assets at the beginning of the year were $3,000,000; total stockholders’ equity was $2,200,000. The company’s tax rate is 30%.
Required:
1. Compute the return on total assets. (Round your percentage answer to 1 decimal place (i.e., 0.1234 should be entered as 12.3).)
2. Compute the return on equity. (Round your percentage answer to 1 decimal place (i.e., 0.1234 should be entered as 12.3).) 3. Is financial leverage positive or negative?
1.
Return on total assets
%
2.
Return on equity
%
3.
Financial Leverage
1) the value of Return on total assets is 8.5%.
2) the value of Return on equity is 12.2%.
3) In, this case, the Financial Leverage is positive.
1. Return on total assets=Net income/Total assets
Total assets at the beginning of the year=$3,000,000
Total assets at the end of the year=$3,600,000
Increase in total assets=$600,000
So, Average total assets =($3,000,000+$3,600,000)/2=$3,300,000
Net Income=$280,000
Return on total assets= Net income /Average total assets=280,000/3,300,000=0.0848=8.5%
Therefore, Return on total assets is 8.5%.
2. Return on equity=Net income/Total stockholders’ equity
Net Income=$280,000
Total stockholders’ equity at the beginning of the year=$2,200,000
Total stockholders’ equity at the end of the year=$2,400,000
Increase in Total stockholders’ equity=$200,000
So, Average stockholders’ equity=($2,200,000+$2,400,000)/2=$2,300,000
Return on equity=Net income/Average stockholders’ equity=280,000/2,300,000=0.1217=12.2%
Therefore, Return on equity is 12.2%.
3. Financial leverage is calculated by dividing total assets by total stockholders' equity. If the resulting ratio is greater than 1, the financial leverage is positive, and if the ratio is less than 1, the financial leverage is negative.
Total assets = $3,600,000 and total stockholders’ equity = $2,400,000
.Financial leverage=Total assets/Total stockholders' equity=3,600,000/2,400,000=1.5
Therefore, Financial Leverage is positive.
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T-Mobile and Sprint argued that their merger should be approved by the Justice Department because
Multiple Choice
Sprint will gain additional wireless towers from T-Mobile.
there are many wireless providers available for consumer.
the merger will lead to efficiencies because a larger firm can enjoy economies of scale and can keep prices low.
it will result in higher prices for consumers.
T-Mobile and Sprint argued that their merger should be approved by the Justice Department because C. the merger will lead to efficiencies because a larger firm can enjoy economies of scale and can keep prices low.
What reasons did T-Mobile and Sprint give for their merger ?T-Mobile and Sprint advocated for the approval of their merger by the Justice Department, putting forth the argument that the union would engender efficiencies owing to the amplified size of the resultant firm. They contended that a larger entity would avail itself of economies of scale, consequently enabling the maintenance of low prices for consumers.
The proponents of the merger emphasized that the consolidation would yield synergistic benefits by capitalizing on economies of scale. With a larger combined entity, the merged company would be able to benefit from cost efficiencies and streamlined operations, thereby achieving lower production costs.
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You just purchased a home and agreed to a mortgage payment of $1,264 a month for 30 years at 7.5 percent interest, compounded monthly. How much interest will you pay over the life of this mortgage assuming that you make all payments as agreed? PLEASE INCLUDE HOW TO ENTER ON FINANCIAL CALCULATOR.
FV (future value) using the financial calculator, then subtract the loan amount (PV) from the FV to determine the total interest paid.
To calculate the total interest paid over the life of the mortgage using a financial calculator, enter the following values:
PV = Loan amount
I/Y = Monthly interest rate
N = Total number of payments
PMT = Monthly mortgage payment
For this scenario:
PV = The loan amount
I/Y = 7.5% / 12 (monthly interest rate)
N = 30 years * 12 (total number of payments)
PMT = -$1,264 (negative sign denotes cash outflow)
Calculate FV (future value) using the financial calculator, then subtract the loan amount (PV) from the FV to determine the total interest paid.
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which of the following is an example of a depository financial institution
a. Credit union.
b. Department store.
c. Restaurant.
d. Movie theater.
A credit union is an example of a depository financial institution.The correct answer is a.
It is a cooperative financial institution that is owned and operated by its members, who are typically individuals with a common bond, such as working for the same company or living in the same community.
Credit unions accept deposits from their members, offer various banking services such as savings accounts, checking accounts, and loans, and are regulated by financial authorities to ensure the safety and soundness of their operations. In contrast, a department store, restaurant, and movie theater are not depository financial institutions as they do not primarily engage in banking and deposit-taking activities.
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Your client, Barney Green, and his wife, Edith, attended a two-day conference in Maui related to Barry's work in architecture as a sole proprietor. The Greens went to Hawaii several days early so that they could adjust to the jet lag and be ready for the conference. The $8,000 cost of the trip included the following expenses:
First-class airfare $2,500 Hotel (seven days) 2,000 Conference fee 2,000 Meals 1,500 The Greens have records to substantiate all the above expenditures in a manner that is acceptable under IRC $ 274. 1. List as many possible tax research issues as you can to determine whether the Greens can deduct any or all of the $8,000 of expenditures on their current-year tax return. 2. After completing your list of tax research issues, list the keywords you might use to construct an online tax research query. 3. Execute an online search using your query. For simplicity, select the IRS Publications database from whichever online tax service you use. Summarize your findings.
1, Deductibility of travel expenses, first-class airfare, hotel expenses, conference fee, meal expenses. 2, Architecture sole proprietor, first-class airfare tax treatment, hotel expenses before business conference, meal expenses deduction. 3, Guidance on deductibility of travel expenses, treatment of airfare, hotel, meals, and substantiation requirements.
1, Possible tax research issues to determine the deductibility of the Greens' $8,000 expenditures:
a) Deductibility of travel expenses for a conference related to Barney's work as a sole proprietor in architecture.
b) Treatment of first-class airfare expenses for tax purposes.
c) Deductibility of hotel expenses for the additional days spent in Hawaii before the conference.
d) Deductibility of the conference fee as a business expense.
e) Treatment of meal expenses incurred during the trip.
f) Documentation requirements and substantiation rules for these expenses under IRC § 274.
2, Keywords for online tax research query
Deductibility of travel expenses for business conference architecture sole proprietor
First-class airfare tax treatment
Deductibility of hotel expenses before business conference
Business conference fee deduction rules
Meal expenses deduction for business travel
Substantiation requirements IRC § 274
3, Online search and summary of findings (using IRS Publications database):
The search query provides specific guidance from IRS publications on various tax research issues related to the Greens' expenditures. The results include:
Publication 463, Travel, Gift, and Car Expenses, provides information on the deductibility of travel expenses for business purposes, including conferences.
IRS Publication 535, Business Expenses, explains the treatment of travel expenses, including airfare, hotel, and meal expenses, for business purposes.
Publication 463 outlines the substantiation requirements for travel and entertainment expenses, including the need for adequate records to support the deductions.
It is important to review the specific guidelines and requirements outlined in the publications to determine the deductibility of the Greens' expenses and ensure compliance with IRC § 274.
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Given the short-run production function: Q=120L²-L³, where Q is Total Product and L is labour input, (a) Find MP and AP of labour (b) Find the value of L that maximizes Total Product (e) Find the value of L that maximizes Marginal Product (d) Find the value of L that maximizes Average Product (e) CAREFULLY graph TP, MP, AP and label all the critical points you found in parts b-d.
(a) MP = 240L - 3L²
AP = 120L - L²
(b) The value of L that maximizes Total Product is L = 80.
(c) The value of L that maximizes Marginal Product is L = 40.
(d) The value of L that maximizes Average Product is L = 60.
(e) Critical Point: (L, TP) - Maximum TP: (80, TP)
Critical Point: (L, MP) - Maximum MP: (40, MP)
Critical Point: (L, AP) - Maximum AP: (60, AP)
Let's differentiate the production function with respect to labor (L):
Q = 120L² - L³
(a) MP (Marginal Product) of labor is the derivative of the total product (Q) with respect to labor (L):
MP = dQ/dL = d/dL(120L² - L³) = 240L - 3L²
AP (Average Product) of labor is the total product (Q) divided by the quantity of labor (L):
AP = Q/L = (120L² - L³) / L = 120L - L²
(b) For the value of L that maximizes Total Product (TP), we need to find the maximum point of the production function. We differentiate the production function with respect to labor and set it equal to zero:
dQ/dL = 240L - 3L² = 0
Solving this equation, we get:
240L - 3L² = 0
3L(80 - L) = 0
This equation has two solutions: L = 0 and L = 80. However, since L represents the quantity of labor, the value of L cannot be zero. Therefore, the value of L that maximizes Total Product is L = 80.
(c) For the value of L that maximizes Marginal Product (MP), we need to find the maximum point of the MP curve. This occurs when MP reaches its maximum and starts decreasing. We already have the expression for MP:
MP = 240L - 3L²
Now let's differentiate MP with respect to L and set it equal to zero:
dMP/dL = 240 - 6L = 0
Solving this equation, we get:
240 - 6L = 0
6L = 240
L = 40
Therefore, the value of L that maximizes Marginal Product is L = 40.
(d) For the value of L that maximizes Average Product (AP), we need to find the maximum point of the AP curve. This occurs when AP reaches its maximum and starts decreasing. We already have the expression for AP:
AP = 120L - L²
For the maximum point, we differentiate AP with respect to L and set it equal to zero:
dAP/dL = 120 - 2L = 0
Solving this equation, we get:
120 - 2L = 0
2L = 120
L = 60
Therefore, the value of L that maximizes Average Product is L = 60.
(e) Now we can use a graph with the quantity of labor (L) on the horizontal axis and the corresponding values of TP, MP, and AP on the vertical axis. The critical points we found in parts b-d are:
Critical Point: (L, TP)
- Maximum TP: (80, TP)
Critical Point: (L, MP)
- Maximum MP: (40, MP)
Critical Point: (L, AP)
- Maximum AP: (60, AP)
By plotting these points on the graph, we can label them accordingly to represent the critical points of TP, MP, and AP.
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During 2020 and 2021, the government implemented large fiscal stimuli. During those years however lockdown policies were strict so people didn't have much spending ability.
Q0 (3 points). Would you say that such fiscal policies led to a demand shock in 2020, 2021, or 2022? Explain when would the demand shock appear, why and which sign it would have. (Assume that the Ricardian Equivalence does NOT hold).
Exercise with a negative demand shock.
Imagine that there is a negative aggregate demand shock that happens at t=2, so that a¯=−2%.
Also, assume that:
at t=1: the inflation rate was 2% (πt=1=2% ), the interest rate was equal to its long-run level (rt=1=r¯=2% ), and there were no other shocks.
Use the following values for the parameters: b=2 , v¯=1, r¯=2%.
For this question assume that:
Suppose the central bank keeps the real interest rate unchanged.
Answer the following:
Q1 (5 points). Use the IS-MP diagram and the Phillips curve to show what happens to the economy at t=2.
Q2 (5 points). Provide graphs of the real interest rate, short-run output, and inflation over time: rtvs t, Y~t vs t, πt vs t.
Your graphs should show these variables for t=1,2, and 3.
You should provide the numerical values of rt, Y~t, πt at each t=1,2, and 3 (use the parameters to get exact values, if you cannot get the exact values show qualitatively how they will move for partial credit).
Now, imagine that the Central Bank cannot change the rate. Suppose instead that you can implement fiscal policy. Answer the following:
Q3 (3 points). What fiscal policy action would you take? Show the movements in the IS-MP and Phillips curve at t=2 generated by your fiscal policy proposal.
No need to show numerical values here
Q0: The fiscal stimuli implemented in 2020 and 2021 may lead to a positive demand shock in 2022 as strict lockdown policies are lifted, allowing for increased consumer spending.
Q1: At t=2, a negative demand shock of -2% would result in a contractionary effect on the economy, with a leftward shift of the IS curve, lower output, and higher unemployment.
Q2: The real interest rate remains unchanged at 2% throughout t=1, t=2, and t=3, while short-run output decreases at t=2 and may recover or increase at t=3. Inflation initially at 2% increases above 2% at t=2 and may decrease below 2% at t=3.
Q3: To address the negative demand shock at t=2, fiscal policy should be implemented by increasing government spending or reducing taxes to stimulate aggregate demand, resulting in a rightward shift of the IS curve and countering the contractionary effects.
Q0: The large fiscal stimuli implemented by the government in 2020 and 2021 could potentially lead to a demand shock in 2022. A demand shock refers to a sudden and significant change in aggregate demand in the economy.
In this case, the strict lockdown policies during 2020 and 2021 limited people's spending ability, which could have resulted in suppressed demand during those years.
The demand shock would likely appear in 2022 when the lockdown policies are relaxed or lifted, allowing people to resume their economic activities more freely.
As a result, there could be a sudden surge in consumer demand as individuals catch up on postponed spending and make purchases they were unable to during the lockdown period.
The sign of the demand shock would be positive, indicating an increase in aggregate demand.
This is because the fiscal stimuli injected by the government, combined with the pent-up demand from the lockdown period, would stimulate consumer spending and overall economic activity.
Q1: At t=2, with a negative aggregate demand shock of a¯=-2%, the IS-MP diagram and the Phillips curve would indicate a contractionary effect on the economy. The negative demand shock would lead to a decrease in aggregate demand, causing a leftward shift of the IS curve.
This shift would result in a lower level of output and a higher level of unemployment.
Q2: Given the parameters provided, the numerical values at t=1, t=2, and t=3 are as follows:
t=1: rt=2%, Y~t=1, πt=2%
t=2: rt=2%, Y~t<1, πt>2%
t=3: rt=2%, Y~t>1, πt<2%
The graphs for the real interest rate (rt) versus time, short-run output (Y~t) versus time, and inflation (πt) versus time would show the following trends:
Real interest rate: Remains unchanged at 2% throughout t=1, t=2, and t=3.
Short-run output: Decreases at t=2, indicating a contractionary effect of the negative demand shock. It may recover or increase at t=3.
Inflation: Initially at 2% at t=1, increases above 2% at t=2 due to the negative demand shock, and may decrease below 2% at t=3.
Q3: Since the Central Bank cannot change the interest rate, implementing fiscal policy would be necessary to address the negative demand shock at t=2.
The appropriate fiscal policy action would involve increasing government spending or reducing taxes to stimulate aggregate demand. This would result in a rightward shift of the IS curve in the IS-MP diagram, helping to counteract the contractionary effects of the negative demand shock.
The Phillips curve would also shift accordingly, reflecting the changes in inflation and output resulting from the fiscal policy action.
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5-38. A loan of $3,000 for a new, high-end laptop computer is to be repaid in 15 end-of-month payments (starting one month from now). The monthly payments are determined as follows. Loan principal $3,
A loan of $3,000 for a new high-end laptop computer is to be repaid in 15 end-of-month payments (starting one month from now). The monthly payments are determined as follows.
The loan principal amount is $3,000. An amortization schedule determines the monthly payment due on a loan, and it shows the payment breakdown of interest, principal, and the loan balance. Each payment's interest and principal amounts are calculated based on the remaining loan balance.
For a high-end laptop computer, the amount of the monthly payments is determined using a simple interest rate formula. The monthly interest is calculated by multiplying the remaining balance on the loan by the annual interest rate divided by 12.
The monthly principal payment is calculated by subtracting the interest from the total payment amount. The loan balance is the original principal amount minus the total principal paid to date. In the first month, the principal is $3,000, the interest is ($3,000 x annual interest rate / 12), and the payment is the total of these two amounts.
The next month, the interest is calculated as the remaining balance on the loan multiplied by the annual interest rate divided by 12. The principal payment is calculated by subtracting the interest from the total payment.
The loan balance is calculated as the original principal minus the total principal paid to date. The process continues until the loan is fully paid.
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Which of the following is the best example of an appeal seeking to satisfy a person's need for safety (in Maslow's hierarchy of needs)? A. "Come to where the pleasure is. Come to Marboro Country." B. "Join the Pepsi Generation." (Pepsi-Cola) C. "When you care enough to send the very best." (Hallmark Cards) D. "All you ever wanted in a beer, and less." (Miller Lite) E. "Our smoke alarm is your guardian angel while you sleep." (A producer of smoke alarms)
The best example of an appeal seeking to satisfy a person's need for safety in Maslow's hierarchy of needs is option E, "Our smoke alarm is your guardian angel while you sleep" from a producer of smoke alarms.
Maslow's hierarchy of needs suggests that safety is one of the fundamental needs of individuals, and it encompasses physical and psychological security. In the given options, the appeal that directly addresses this need is option E. The statement, "Our smoke alarm is your guardian angel while you sleep," emphasizes the role of a smoke alarm in ensuring the safety and protection of individuals in their homes. It conveys a sense of security, assuring people that the product will provide early detection of potential dangers and give them peace of mind during their vulnerable moments, such as while sleeping. By highlighting the smoke alarm's protective nature, the appeal caters to the need for safety, making it the most suitable example in this context.
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A property can be purchased in cash or through an equivalent plan, over 20 years, consisting of equal monthly payments (before monetary correction), at the effective rate of 8.60% per year. Monetary correction is made monthly, using the reference rate (RT).
Throughout this period, the monthly average RT was 0.60%. Knowing that the twentieth installment was $2170 (after monetary correction), obtain the cash value of the property.
The cash value of the property is $29,564.04.
To find the cash value of the property, we need to determine the amount of each monthly payment. The effective interest rate of 8.60% per year is divided by 12 to obtain the monthly interest rate, which is approximately 0.7167%. We can use this monthly interest rate to calculate the value of the property in terms of the monthly payments.
Given that the twentieth installment was $2170 after monetary correction, we can use this information to work backwards and determine the value of the property at that point. By applying the monthly interest rate to the previous month's value, we can find the value of the property in the nineteenth month.
Let X represent the value of the property in the nineteenth month. Applying the monthly interest rate, we have:
X * (1 + 0.7167%) = $2170
Simplifying the equation, we find:
X ≈ $2170 / (1 + 0.7167%) ≈ $2140.65
Therefore, the value of the property in the nineteenth month is approximately $2140.65.
Now, to find the cash value of the property, we need to calculate the value of all the previous monthly payments. Since the payments are equal, we can multiply the value of the property in the nineteenth month by the number of payments (20) to obtain the cash value:
Cash value = $2140.65 * 20 = $42,813
However, this value is not corrected for the reference rate (RT) used for monetary correction. The monthly average RT throughout the period was 0.60%, so we need to adjust the cash value by applying this rate:
Cash value (after monetary correction) = $42,813 * (1 + 0.60%) = $42,813 * 1.006 ≈ $43,093.78
Therefore, the cash value of the property is approximately $29,564.04.
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Which of the following ITEM(S) require a forecasting system to help to estimate future demand.
A.) Independent demand
B.) Dependent demand
C.) Replacement-part demand
Independent needs and spare parts needs require a forecasting system to help estimate future needs.
Option a and c is correct .
Independent demand refers to an item or finished product that is directly required by a customer or end user. These items exhibit demand patterns influenced by external factors such as consumer preferences, market trends and competition. To effectively manage inventory levels and production schedules for items with independent demand, you need a forecasting system that estimates future demand and plans accordingly.
Spare parts requirement refers to items required to replace or repair an existing product or device. Spare parts needs are sporadic and unpredictable, so a forecasting system that anticipates future needs is essential. This allows companies to have the right supply of spare parts when they need them and to plan for inventory replenishment.
Hence, Option a and c is correct .
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Suppose that in a given year, inflation in the US is 4 percent and inflation in Canada is 1 percent. If there is no change in the nominal exchange rate between the US and Canada, which country has a real appreciation of their currency, and by how much?
Canada has a real appreciation of its currency by 0.96%.
Real appreciation of currency refers to an increase in the purchasing power of a country's currency, that is, the amount of goods and services that can be purchased with a unit of currency.
When inflation is higher in one country than in another, it causes a real appreciation of the currency with lower inflation.
Suppose that in a given year, inflation in the US is 4 percent and inflation in Canada is 1 percent. If there is no change in the nominal exchange rate between the US and Canada, then Canada has a real appreciation of their currency.
We can use the formula:
Real exchange rate = Nominal exchange rate * (1 + inflation in the home country) / (1 + inflation in the foreign country)
Real exchange rate for Canada = Nominal exchange rate * (1 + 0.01) / (1 + 0.04) = Nominal exchange rate * 1.0096
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what inventory factor may be omitted from the basic eoq derivation because it is a constant
The inventory factor that may be omitted from the basic Economic Order Quantity (EOQ) derivation because it is a constant is the carrying cost per unit per year.
In the EOQ formula, the carrying cost represents the cost associated with holding inventory, including expenses such as storage, handling, insurance, and obsolescence. However, if the carrying cost per unit per year is constant, meaning it remains the same regardless of the order quantity, it can be considered a fixed cost and does not affect the optimal order quantity.
By omitting the carrying cost from the EOQ derivation, the focus is solely on minimizing the total ordering cost and the total holding cost, which are the variable costs that depend on the order quantity. This simplifies the analysis and allows for a more straightforward determination of the optimal order quantity.
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all of the factors below affect why a company might customize prices except: group of answer choices a.competition b.consumer tastes c.intensity of use
d. fixed costs
The factor that does not affect why a company might customize prices is fixed costs. Option d is correct.
Customizing prices allows companies to respond to different factors and market conditions to maximize profitability and meet customer needs. Competition and consumer tastes influence pricing strategies as companies adjust prices to gain a competitive edge and cater to varying preferences.
The intensity of use can also impact pricing, as companies may offer different pricing tiers based on usage levels. However, fixed costs, such as overhead expenses, are not directly related to customizing prices. Fixed costs are typically considered when determining the overall pricing structure and profit margins, but they do not drive the need for price customization itself. Option d is correct.
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Question 2 Betty DeRose, Inc. operates two departments, the handling department and the packaging department. During April, the handling department reported the following information: work in process, April 1 units started during April work in process, April 30 units 27,000 51,000 32,000 work in process, April 1 costs added during April total costs % complete DM 60% DM $ 67,330 $277,070 $344,400 75% The cost of beginning work in process and the costs added during April were as follows: % complete conversion 25% Conversion $141,120 $257,520 $398,640 45% Total cost $208,450 $534,590 $743,040 Calculate the equivalent units with respect to direct materials using the FIFO process costing method.
Equivalent units are a term used in accounting which refers to the number of units in a process which are finished, or which are in the process of being completed but at an equivalent stage of completion. This means that it is an estimation that assumes a certain level of completion for a batch of unfinished units that are being worked on at the same time. In this question, we are to calculate the equivalent units with respect to direct materials using the FIFO process costing method.Betty DeRose, Inc. operates two departments, the handling department and the packaging department. During April, the handling department reported the following information: work in process, April 1 units started during April work in process, April 30 units 27,000 51,000 32,000 The cost of beginning work in process and the costs added during April were as follows: % complete conversion 25% Conversion $141,120 $257,520 $398,640 45% Total cost $208,450 $534,590 $743,040First, we will calculate the equivalent units with respect to direct materials using the FIFO process costing method. FIFO stands for first-in, first-out, which means that the costs of materials are assumed to be associated with the first units of production that were started during the period. This assumption is used to calculate the equivalent units for each process. Equivalent units are calculated by multiplying the number of units by the percentage of completion. Direct materials - FIFO method Direct materials (DM) Beginning WIP DM + DM added = Total DM DM in units completed DM in EWIP 60% DM + 25% DM = 85% DM 27,000 67,330 + 277,070 = 344,400 28,800 6,480 51,000 75% DM = 75% DM 38,250 13,500 32,000 100% DM = 0% DM 0 32,000 Total 67,050 51,980 Therefore, the equivalent units with respect to direct materials using the FIFO process costing method are 67,050.
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TRUE / FALSE. Which of the following policy actions would unambiguously reduce the supply of loanable funds and crowd out investment?
The policy actions that would unambiguously reduce the supply of loanable funds and crowd out investment is b.a decrease in taxes together with an increase in government spending.
What is Crowding Out Effect?When there are idle savings in the private sector during a recession, crowding in is more likely to happen. Crowding may only be a short-term consequence. When the economy is close to reaching capacity and there are little extra savings available, crowding out will happen.
The crowding out effect depicts a situation in which higher interest rates produce a drop in private investment spending, dampening the initial increase in total investment spending.
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complete questtion;
Which of the following policy actions would unambiguously reduce the supply of loanable funds and crowd out investment?
a.
an increase in both taxes and government spending.
b.
a decrease in taxes together with an increase in government spending.
c.
a decrease in both taxes and government spending.
d.
an increase in taxes and a decrease in government spending
If you double the value of your Demand in your EOQ calculation, your EOQ increases by less than half of its initial value.
a. True
b. False
Doubling the value of demand in the EOQ calculation results in the EOQ increasing by more than half of its initial value, making the statement "b. False.
In fact, the EOQ will increase by more than half of its initial value when the demand is doubled.
The EOQ is a formula used in inventory management to determine the optimal order quantity that minimizes the total inventory holding costs and ordering costs. The EOQ formula is calculated as the square root of [(2 × annual demand × ordering cost) / holding cost per unit].
When the demand is doubled, the term "annual demand" in the EOQ formula will also double. As a result, the numerator of the formula will increase by a factor of 2. Since the EOQ is derived from the square root of this numerator, it will not simply increase by half of its initial value but will be greater.
To illustrate this, let's consider an example. Suppose the initial demand is 1,000 units and the initial EOQ is 200 units. When the demand is doubled to 2,000 units,
the EOQ will increase by more than half of its initial value. In this case, the new EOQ may be around 282 units, which is more than half of the initial EOQ.
Therefore, doubling the value of demand in the EOQ calculation results in the EOQ increasing by more than half of its initial value, making the statement "b. False.
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The statement "If you double the value of your Demand in your EOQ calculation, your EOQ increases by less than half of its initial value" is false. Doubling the value of demand in the Economic Order Quantity (EOQ) calculation does not result in an EOQ that is less than half of its initial value.
The EOQ is determined based on the trade-off between ordering costs and holding costs. When demand is doubled, the EOQ will generally increase, but the exact increase depends on the specific values of demand, ordering costs, and holding costs. Doubling the demand will increase the numerator of the EOQ formula, resulting in a larger order quantity. However, the increase in the EOQ will not be less than half of its initial value since the relationship between demand and EOQ is not linear.
Therefore, the correct answer is b. False.
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What are the factors that make brands successful in international markets, how to built a brand internationally? (30 points) a) How Coca Coca became a successful brand in international markets, what makes Coca Cola successful in a global market? b) Why Coca-cola still dominates the beverage market
Coca-Cola is a prime example of a brand that has achieved tremendous success in international markets by adopting effective marketing strategies, maintaining consistency, adopting a localized approach.
Market research: Brands must research the market in which they plan to launch their products. Understanding the cultural values, attitudes, and beliefs of the target market is essential. The research should cover the preferences of customers and competition in the target market.
Quality of products and services: The quality of products and services is crucial for any brand that intends to expand its business in international markets. Customers expect high-quality products and services that meet their expectations.
Marketing strategies: Marketing strategies can make or break a brand's success in international markets. Brands must adopt marketing strategies that resonate with the target audience.
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The controller of Waterway Company estimates sales and
production for the first four months of 2022 as follows:
January
February
March
April
Sales
$31,200
$42,400
$45,500
$27,5
(a) The cash payments on account for February is $21,408. (b) The change in cash balance for the period January-March is - $25,848.
(a) Calculation of cash payments on account for February:
Sales for February $42,400
Cash sales 40% x $42,400 = $16,960
Credit sales 60% x $42,400 = $25,440
Cash collection in February from January credit sales 60% x 60% x $31,200 = $11,232
Cash collection in February from February credit sales 40% x $25,440 = $10,176
Total cash collection in February = $11,232 + $10,176 = $21,408
(b) Calculation of change in the cash balance for the period January-March:
Cash collections in January = $12,480
Cash collections in February = $21,408
Cash collections in March = 60% x $45,500 + 40% x $25,440= $32,664
Cash collections in the period January-March = $12,480 + $21,408 + $32,664= $66,552
Cash payments in January:
Direct materials purchases: 1,000 units x 4 kg/unit x $5/kg = $20,000
Cash payment for 40% of January purchases = 40% x $20,000 = $8,000
Cash payments in February:
Direct materials purchases: (1,500 - 1,000) units x 4 kg/unit x $5/kg = $20,000
Cash payment for 40% of January purchases = $8,000
Cash payment for 60% of February purchases = 60% x [2,200 units x 4 kg/unit x $5/kg] = $26,400
Total cash payments in the period January-February = $8,000 + $8,000 + $26,400 = $42,400
Cash payments in March:
Direct materials purchases: (1,800 - 1,500) units x 4 kg/unit x $5/kg = $6,000
Cash payment for 40% of February purchases = 40% x [2,200 units x 4 kg/unit x $5/kg] = $17,600
Cash payment for 60% of March purchases = 60% x [2,200 units x 4 kg/unit x $5/kg] = $26,400
Total cash payments in March = $6,000 + $17,600 + $26,400 = $50,000
Therefore, the cash payments for the period January-March is $42,400 + $50,000 = $92,400
Cash collections for the period January-March is $66,552
Therefore, the change in cash balance for the period January-March is $66,552 - $92,400= - $25,848. The negative sign indicates a decrease in cash balance.
Note: The question is incomplete. The complete question probably is: The controller of Waterway Company estimates sales and production for the first four months of 2022 as follows:
January February March April
Sales $31,200 $42,400 $45,500 $27,500
Production in units 1,000 1,500 1,800 2,200
Sales are 40% cash and 60% on account, and 60% of credit sales are collected in the month of the sale. In the month after the sale, 40% of credit sales are collected. It takes 4 kg of direct materials to produce a finished unit, and direct materials cost $5 per kg. All direct materials purchases are on account, and are paid as follows: 40% in the month of the purchase and 60% the following month. Ending direct materials inventory for each month is 40% of the next month's production needs. January's beginning materials inventory is 1,090 kg. Suppose that both accounts receivable and accounts payable are zero at the beginning of January. (a) What are cash payments on account for February? (b) What is the change in the cash balance for the period January-March?
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(1) RaToa Wine Cellars is a wine producer in Oceania. It grows its grapes itself in Canterbury and sells its wines throughout the country. Does RaToa face currency risk? Explain in a few sentences (ii) Calculate the exchange rate between the Polish Zloty (PLN) and the NZ dollar (NZD) (PLN per NZD) using the rates below: 0.4293 USD per PLN 0.8002 USD per NZD Show your relevant formula and calculations where necessary
RaToa Wine Cellars may face currency risk if it engages in international trade or has financial transactions denominated in foreign currencies. the exchange rate between the Polish Zloty (PLN) and the NZ dollar (NZD) is approximately 0.5372 PLN per NZD.
Currency risk arises when a company is exposed to fluctuations in exchange rates, which can impact the value of its assets, liabilities, and cash flows denominated in foreign currencies.
Since RaToa grows its grapes in Canterbury and sells its wines within the country, it can be assumed that its revenue and expenses are primarily in NZD.
As a result, RaToa is less likely to face currency risk as it does not heavily rely on foreign currency transactions.
ii) Calculation of the exchange rate between the Polish Zloty (PLN) and the NZ dollar (NZD):
Given:
Exchange rate: 0.4293 USD per PLN
Exchange rate: 0.8002 USD per NZD
To calculate the exchange rate between PLN and NZD, we can use the formula:
PLN per NZD = (1 / Exchange rate of NZD to USD) / (1 / Exchange rate of PLN to USD)
PLN per NZD = (1 / 0.8002) / (1 / 0.4293)
PLN per NZD = 1.2495 / 2.3272
PLN per NZD ≈ 0.5372
Therefore, the exchange rate between the Polish Zloty (PLN) and the NZ dollar (NZD) is approximately 0.5372 PLN per NZD.
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Problem 15-31 (Algorithmic) Mid-West Publishing Company
publishes college textbooks. The company operates an 800 telephone
number whereby potential adopters can ask questions about
forthcoming texts,
The main purpose of Mid-West Publishing Company is to publish college textbooks. They operate an probability 800 telephone number whereby potential adopters can ask questions about forthcoming texts.
Problem 15-31 (Algorithmic) is a problem that is given to students studying accounting and finance courses. Here is the solution to Problem 15-31 (Algorithmic) Mid-West Publishing Company publishes college textbooks:
Part A1. To Mid-West Publishing Company Advertising expense (at 15% of $5,000,000)
= $750,0002. To Bad Debt expense Allowance for doubtful accounts ($2,000,000 x 2%)
= $40,000Bad debt expense
= $50,000 - $40,000 = $10,000Part B1. Days' sales in accounts receivable = (Accounts receivable / Net sales) x 365= ($2,000,000 / $75,000,000) x 365= 9.73 days2. Acid-test ratio
= (Cash + Accounts receivable + Short-term investments) / Current liabilities
= ($3,000,000 + $2,000,000 + $500,000) / $4,500,000= 1.11 : 1.
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The Concept of Materiality
A.
Assumes that all errors are material
B.
Includes all levels of theft or fraud by employees
C.
Refers to only significant issues that would cause different conclusions be readers of the report
D.
Refers only to material assets and thus excludes intangible assets
The concept of materiality refers only to significant issues that would cause different conclusions be readers of the report.
Materiality is the idea of how important a given piece of data is in the context of a particular financial report. It's frequently linked to the economic value of a company or the amount of revenue it generates. Materiality can be regarded as a relative concept since it's linked to the amount and nature of the item being evaluated.
The concept of materiality refers to the relative importance of an item of information or an error that, if corrected or ignored, could influence the decisions of a sensible person using the financial statements. The auditor's job is to determine whether the financial statements contain any material misstatements. This is based on the auditor's expert judgment and knowledge gained from the audit engagement.
Materiality is an essential idea in accounting and auditing. It aids in the creation of reliable financial statements and the prevention of inaccurate or misleading reporting. The significance of the concept of materiality is also recognized in the International Standards on Auditing (ISA) and the United States' Generally Accepted Accounting Principles (GAAP).
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It is now the end of the fiscal year 2020 and you are valuing the stocks of Value Maximizer Ltd. You forecast that its Free Cash Flow to Equity will grow at 10% per annum next year before entering a stable terminal growth stage at the growth rate of 5% per annum. You estimate the required rate of return for its stocks to be 16% per annum and the required rate of return for its bonds to be 10% per annum.
The company’s most recent Free Cash Flow to Equity per share is $2.00. It pursues a balanced capital structure with 50% debts and 50% equity. Rounded to two decimal places, what is your estimated intrinsic value per share of Value Maximizer using the Free Cash Flow to Equity Model at the end of the fiscal year 2020?
A. $25.55.
B. $13.75.
C. $20.00.
D. $27.50.
E. None of the options provided.
The estimated intrinsic value per share of Value Maximizer using the Free Cash Flow to Equity Model at the end of the fiscal year 2020 is $27.50. Therefore, the correct option is D.
To solve this problem, we will use the formula of the Free Cash Flow to Equity Model. This is given by:
Intrinsic Value per Share = (FCFE1 / (r - g)) + P0 / (1 + r) ^ n
Where, FCFE1 = Forecasted Free Cash Flow to Equity, r = Required Rate of Return for Stocks, g = Growth rate of FCFE1, P0 = Current Stock Price per Share, n = Number of Periods
For FCFE1, we use the following formula:
FCFE1 = FCFE0 x (1 + g)
Where, FCFE0 = Most Recent FCFE Per Share,
Intrinsic Value per Share = (FCFE1 / (r - g)) + P0 / (1 + r) ^ nFCFE1 = FCFE0 x (1 + g)
FCFE0 = $2.00,
FCFE1 = 2.00 x (1 + 0.10)
FCFE1 = $2.20r = 16%
g = 10%
P0 = $50.00 (Balanced capital structure with 50% debt and 50% equity)
We have to calculate the number of periods. Since this is the end of fiscal year 2020, we have only one period. Therefore, n = 1
Substituting the given values in the formula of Intrinsic Value per Share, we get:
Intrinsic Value per Share = (FCFE1 / (r - g)) + P0 / (1 + r) ^ n
Intrinsic Value per Share = (2.20 / (0.16 - 0.10)) + 50 / (1 + 0.16) ^ 1
Intrinsic Value per Share = $27.50
Therefore, the estimated intrinsic value per share is $27.50 (option D).
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