The financial market expects the Canadian-US nominal exchange rate to appreciate, so the current nominal interest rate in Canada is high - False.
The statement is incorrect. A rise in the expected exchange rate in the financial markets increases the demand for Canadian dollars, leading to an appreciation of the currency, resulting in lower interest rates in Canada
A temporary adverse supply shock will shift the LM Curve to the left, resulting in a higher interest rate and lower aggregate output temporarily - True.
A temporary adverse supply shock leads to a leftward shift in the LM curve, leading to a higher interest rate and lower aggregate output in the short term.
The nominal exchange rate between the Canadian dollar and the Brazilian real is 4 reais por dollar, so Canadians could visit Brazil quite cheaply: Uncertain.
The statement is uncertain because the purchasing power of a currency is determined by the relative prices of goods in two countries. Although the exchange rate between the Canadian dollar and the Brazilian real is 4 reais per dollar, it may not necessarily imply that Canadians could visit Brazil cheaply because the prices of goods and services in Brazil and Canada may vary.
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ABC common stock is expected to pay a dividend of $3 a share at the end of the year; the required rate of return is 10%. The dividend is expected to grow at some constant rate g, and the stock currently sells for $50 a share. Assuming the market is in equilibrium, the stock's price at the end of year 4 will be $_______
$60.83
$140.26
$54.12
$115.43
The stock's price at the end of year 4 is approximately $89.25. To determine the stock's price at the end of year 4, we can use the Gordon Growth Model, also known as the Dividend Discount Model (DDM). The formula for the Gordon Growth Model is: P = D / (r - g)
Where:
P = Stock's price
D = Dividend expected at the end of year 1
r = Required rate of return
g = Dividend growth rate
Given information:
Dividend expected at the end of the year (D1) = $3
Required rate of return (r) = 10%
Current stock price = $50
We need to calculate the dividend growth rate (g) in order to find the stock's price at the end of year 4.
Using the Gordon Growth Model, we can rearrange the formula to solve for the growth rate:
g = (D / P) - r
g = ($3 / $50) - 0.10
g = 0.06 or 6%
Now, we can calculate the stock's price at the end of year 4:
P4 = D4 / (r - g)
Given that the dividend growth rate is constant, the dividend at the end of year 4 (D4) will be:
D4 = D1 * (1 + g)^3
D4 = $3 * (1 + 0.06)^3
D4 = $3 * 1.191016
D4 ≈ $3.57
Now we can calculate the stock's price at the end of year 4:
P4 = $3.57 / (0.10 - 0.06)
P4 ≈ $3.57 / 0.04
P4 ≈ $89.25
Therefore, the stock's price at the end of year 4 is approximately $89.25.
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he following table contains the nominal value of the minimum
wage in force in
each year and the National Consumer Price Index from 2010
b) What was the nominal change in the minimum wage between 2010
The table below represents the nominal value of the minimum wage in force in each year and the National Consumer Price Index from 2010: Year Minimum Wage ($)National CPI (2010=100) 20107.2576.9 20117.6579.6 20128.0083.2 20138.4086.2 20148.7588.9 20159.1592.3 20169.6097.9 201710.2099.9 201810.85102.4 201911.44105.8 202012.00109.6
a) The nominal change in the minimum wage between 2010 and 2020 was an increase of $4.743.The nominal change in the minimum wage is calculated by taking the difference between the minimum wage in two different years. To find the nominal change in the minimum wage between 2010 and 2020, we subtract the minimum wage of 2010 from the minimum wage of 2020.
Hence, the nominal change in the minimum wage between 2010 and 2020 is $12.00 - $7.257 = $4.743.
b) The nominal change in the minimum wage between 2010 and 2018 was an increase of $3.594.The nominal change in the minimum wage is calculated by taking the difference between the minimum wage in two different years. To find the nominal change in the minimum wage between 2010 and 2018, we subtract the minimum wage of 2010 from the minimum wage of 2018.
Hence, the nominal change in the minimum wage between 2010 and 2018 is $10.85 - $7.257 = $3.594. In both calculations, the result is in dollars (nominal values) and they reflect the nominal change in the minimum wage between the specified years.
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Question 1
The Federal Reserve has a unique ability that gives it
the power to purchase bonds using open market operations. What is
that ability?
The unique ability of the Federal Reserve to purchase bonds using open market operations is its power to create money and expand the monetary base.
Open market operations refer to the buying and selling of government bonds by the central bank in the open market.
When the Federal Reserve wants to stimulate the economy or increase the money supply, it can purchase government bonds from financial institutions or the public. This process involves the Federal Reserve creating new money electronically and using it to buy the bonds. By purchasing bonds, the Federal Reserve injects money into the economy, thereby increasing the monetary base and the overall money supply.
Conversely, if the Federal Reserve wants to reduce the money supply or control inflation, it can sell government bonds through open market operations. This process involves the Federal Reserve selling bonds to financial institutions or the public, thereby taking money out of circulation and reducing the monetary base.
Open market operations are a key tool used by central banks, such as the Federal Reserve, to conduct monetary policy, influence interest rates, manage liquidity in the banking system, and regulate economic conditions.
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The president of a firm is most concerned with creating value for the firm's shareholders. Given this concem, the best method he or she should use to evaluate all proposed projects is profitability index the internal rate of return. the accounting rate of return. payback
Onet present value.
The president of a firm is most concerned with creating value for the firm's shareholders. Given this concern, the best method he or she should use to evaluate all proposed projects is the net present value method.
What is net present value?Net present value (NPV) is the present value of the future cash flows of a project or investment, discounted at an appropriate rate of return. The NPV method is used to determine the acceptability of investments or projects. A positive NPV implies that the venture is worthwhile since the current value of future cash inflows exceeds the current value of cash outflows. On the other hand, a negative NPV indicates that the project should be avoided since the cash outflows exceed the cash inflows.The president of the firm should use the NPV method since it takes into account the time value of money, which is essential in evaluating long-term investments. It is widely accepted that the primary goal of any company is to create value for its shareholders, and the NPV method is the best tool to achieve that goal. Therefore, when evaluating proposed projects, the NPV method should be the primary evaluation criterion.
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what experiences do you think you would need to acquire to
demonstrate competency to the hiring committee in order to bring
"life" to the hospital’s mission in all hospital affairs?
To demonstrate competency to the hiring committee and bring life to the hospital's mission in all hospital affairs, one would need to acquire several experiences. These experiences include the following:
1. Customer Service Skills
Hospital employees should have excellent customer service skills because they have to deal with people from diverse backgrounds and of all ages. To ensure customer satisfaction, they must possess excellent communication, listening, and problem-solving skills.
2. Leadership Skills
Hospital employees, particularly senior leaders, should have excellent leadership skills. They should be able to develop a strategic plan, build and lead a high-performance team, and drive positive change in the hospital.
3. Technical Skills
Hospital employees must possess technical skills, depending on their roles. For instance, nurses should have technical skills such as clinical knowledge, drug administration, and operating medical equipment.
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What is the minimum cost of crashing the following project that James Walters manages at Athabasca University by 4 days? Crash Normal Crash Time Activity Time (days) (days) A 6 5 Normal Cost Immediate
The minimum cost of crashing the project managed by James Walters at Athabasca University by 4 days depends on the crashing cost per day for each activity, which is not provided in the question.
To determine the minimum cost of crashing the project by 4 days, we need to know the crashing cost per day for each activity. The crashing cost represents the additional cost incurred per day to expedite an activity.
Without the crashing cost information, we cannot calculate the minimum cost. The crashing cost per day for each activity needs to be given in order to determine the total cost of crashing the project by 4 days.
Please provide the crashing cost per day for each activity to calculate the minimum cost of crashing the project.
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Share and discuss the 8 project performance domains according to 7th PMBOK. The discussion can be tailored to any projects of any industries and how the domains can lead project manager to deliver project outcomes successfully.
The Project Management Body of Knowledge (PMBOK) is a globally recognized standard of project management practices. The PMBOK has eight project performance domains, which are crucial for the success of any project.
These domains are:Project Integration Management: It is the process of coordinating all the activities of a project in a unified and cohesive manner.Project Scope Management: This domain includes the processes required to ensure that the project includes all the work required and only the work required to complete the project successfully.Project Schedule Management: This domain involves defining, developing, and managing the project schedule in a way that ensures the timely completion of the project.Project Cost Management:
This domain involves planning, estimating, budgeting, financing, funding, managing, and controlling costs associated with a project.Project Quality Management: It is the process of ensuring that the project meets or exceeds the stakeholders’ expectations and requirements.Project Resource Management: It involves managing the human resources, equipment, materials, and supplies required to complete the project successfully.Project Communication Management:
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Ben gets utility from apples and bananas such that U(A, B) = 12A + 3OB If the price of apples is $2 and the price of bananas is $6, Ben's ordinary demand function for bananas is
B^ * (Pa, Pb, l) = l / (2Pb)
B*(Pa, Pb, I)=1/Pb
B*(Pa, Pb, I)=1/Pa
B^ * (Pa, Pb, l) = 0
B^ * (Pa, Pb, l) = l / (2Pa)
it is not possible to tell
Ben's ordinary demand function for bananas is B*(Pa, Pb, I) = 1/Pb.
The given utility function U(A, B) = 12A + 3OB represents Ben's preferences for apples (A) and bananas (B), where the coefficients 12 and 3 represent the marginal utilities of apples and bananas, respectively. To determine Ben's demand for bananas, we need to consider the prices of apples (Pa) and bananas (Pb), as well as Ben's income (I).
The ordinary demand function for bananas, B*(Pa, Pb, I), represents the number of bananas Ben would demand at different price levels, given his income. In this case, the demand function is B*(Pa, Pb, I) = 1/Pb. This means that Ben's demand for bananas is inversely proportional to the price of bananas. As the price of bananas decreases, his demand for bananas increases.
The demand function shows that the quantity of bananas Ben would demand is equal to the reciprocal of the price of bananas. This suggests that Ben's preference for bananas is relatively strong compared to apples, as he is willing to purchase more bananas even at higher prices.
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Suppose that a data analyst for the USDA thinks that the U.S. supply function may be less responsive to price than originally estimated, and that the price coefficient for Supply may be 5. If this is correct, what would the US sunflower producers' revenues be in the open trade market?
a. approximately $5.3 million
b. approximately $9.3 million
c. approximately $11.3 million
d. None of the choices
Answer:
the answer is d. None of the choices.
Explanation:
Unfortunately, the information given in the question is not sufficient to answer it.
To determine the US sunflower producers' revenues in the open trade market, we would need to know the specific supply and demand functions for sunflowers in the US market, as well as the equilibrium price and quantity. The price coefficient for supply alone is not enough information to make this calculation.
Additionally, we would need information on the current market price in order to calculate revenues.
Filer Manufacturing has 5,761,380 shares of common stock outstanding. The current share price is $33.33, and the book value per share is $4.05. Filer Manufacturing also has two bond issues outstanding. The first bond issue has a face value of $44,751,024, has a 0.05 coupon, matures in 10 years and sells for 83 percent of par. The second issue has a face value of $51,117,140, has a 0.06 coupon, matures in 20 years, and sells for 92 percent of par.
The most recent dividend was $2.33 and the dividend growth rate is 0.06. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 0.27.
What is Filer's aftertax cost of debt? Enter the answer with 4 decimals (e.g. 0.2345)
Filer Manufacturing's aftertax cost of debt is approximately 0.0459, or 4.59%.
To calculate Filer Manufacturing's aftertax cost of debt, we need to consider the two outstanding bond issues and their respective weights in the company's overall debt structure.
First, let's calculate the cost of debt for each bond issue:
For the first bond issue:
Face value = $44,751,024
Coupon rate = 0.05
Market price = 83% of par = 0.83 * $44,751,024 = $37,085,581.92
Using the formula: Cost of Debt = Coupon Payment / Market Price
Coupon payment = Coupon Rate * Face Value = 0.05 * $44,751,024 = $2,237,551.20
Cost of Debt for the first bond issue = $2,237,551.20 / $37,085,581.92 = 0.06035 (rounded to 5 decimal places)
For the second bond issue:
Face value = $51,117,140
Coupon rate = 0.06
Market price = 92% of par = 0.92 * $51,117,140 = $47,008,352.80
Using the same formula:
Coupon payment = Coupon Rate * Face Value = 0.06 * $51,117,140 = $3,067,028.40
Cost of Debt for the second bond issue = $3,067,028.40 / $47,008,352.80 = 0.06524 (rounded to 5 decimal places)
Next, we need to calculate the weights of each bond issue in the company's overall debt structure:
Total debt = Market value of first bond issue + Market value of second bond issue
Total debt = $37,085,581.92 + $47,008,352.80 = $84,093,934.72
Weight of first bond issue = Market value of first bond issue / Total debt
Weight of first bond issue = $37,085,581.92 / $84,093,934.72 = 0.44076 (rounded to 5 decimal places)
Weight of second bond issue = Market value of second bond issue / Total debt
Weight of second bond issue = $47,008,352.80 / $84,093,934.72 = 0.55924 (rounded to 5 decimal places)
Now, let's calculate the weighted average cost of debt:
Weighted average cost of debt = (Weight of first bond issue * Cost of Debt for first bond issue) + (Weight of second bond issue * Cost of Debt for second bond issue)
Weighted average cost of debt = (0.44076 * 0.06035) + (0.55924 * 0.06524) = 0.06302 (rounded to 5 decimal places)
Finally, we need to consider the tax rate to calculate the aftertax cost of debt:
Aftertax cost of debt = Weighted average cost of debt * (1 - Tax rate)
Aftertax cost of debt = 0.06302 * (1 - 0.27) = 0.04592 (rounded to 4 decimal places)
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A system composed of two industries, coal and steel, has the following input requirements.
(a) To produce $1.00 worth of output, the coal industry requires $0.20 of its own product and $0.40 of steel.
(b) To produce $1.00 worth of output, the steel industry requires $0.30 of its own product and $0.40 of coal.
STEP 1: Find D, the input-output matrix for this system.
Coal Steel D = Coal
Steel
Solve for the output matrix X in the equation
X = DX + E, STEP 2: where E is the external demand matrix E =
10,000 20,000.
X = Coal Steel
The input-output matrix for a system composed of coal and steel industries is determined based on the input requirements. The output matrix is calculated using the matrix equation X = DX + E, where X represents the output and E is the external demand matrix. The optimal values for X are found to be 40,000 for coal and 20,000 for steel.
To find the input-output matrix D for the system, we can use the given input requirements. Let's denote the output of the coal industry as C and the output of the steel industry as S.
(a) To produce $1.00 worth of output, the coal industry requires $0.20 of its own product (C) and $0.40 of steel (S).
This can be represented as:
C = 0.20C + 0.40S
(b) To produce $1.00 worth of output, the steel industry requires $0.30 of its own product (S) and $0.40 of coal (C).
This can be represented as:
S = 0.40C + 0.30S
Now, let's rewrite these equations in matrix form:
[1-0.20 -0.40] [C] = [0]
[-0.40 1-0.30] [S] = [0]
From these equations, we can extract the input-output matrix D:
D = [1-0.20 -0.40]
[-0.40 1-0.30]
Now, let's move to Step 2, where we need to solve for the output matrix X in the equation X = DX + E. The external demand matrix E is given as [10,000; 20,000].
The equation becomes:
[X] = [1-0.20 -0.40] [X] + [10,000]
[-0.40 1-0.30] [Y] [20,000]
Rewriting the equation for X and Y:
X = (1-0.20)X + (-0.40)Y + 10,000
Y = (-0.40)X + (1-0.30)Y + 20,000
Simplifying these equations, we have:
0.20X + 0.40Y = 10,000
0.40X + 0.70Y = 20,000
Solving these equations, we find the values of X and Y:
X = 40,000
Y = 20,000
Therefore, the output matrix X for the system is:
X = [40,000]
[20,000]
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You are appointed the Chief Human Resource Manager at Jupundik Ltd and one of your immediate tasks is to ensure continuity of a positive work culture within the company. The company was started in the year 2019 and despite the Covid-19 pandemic and disruptions, it has emerged as one of the best companies in the textile industry. Due to employee-friendly policy of the current management team, the morale of the 50 employees who worked in the company during the year is very high and a culture of team work has become the norm. Recently, however, the company lost its Senior Financial analysts due to Ebola, leaving two junior analysts to manage the department. In the same year, two supervisors in the production department left the company for greener pastures in U.S.A. The company is considering hiring new employees to fill the gap left by the three staff.
Required: a) Calculate the rate of turnover in Jupundik Ltd
To calculate the rate of turnover in Jupundik Ltd, we need to determine the number of employees who have left the company within a specific time period relative to the average number of employees during that period. In this case, we will consider the turnover rate for the year.
Given information:
- The company started in 2019 with 50 employees.
- Two supervisors in the production department left.
- The Senior Financial analysts left due to Ebola.
To calculate the turnover rate, we need to know the number of employees who left during the year and the average number of employees during that period.
Number of employees who left = 2 supervisors + 1 Senior Financial analyst = 3
Average number of employees during the year = (Number of employees at the start of the year + Number of employees at the end of the year) / 2
Since we don't have information about the number of employees at the end of the year, we can assume it remained the same as the start of the year.
Average number of employees during the year = (50 + 50) / 2 = 50
Turnover rate = (Number of employees who left / Average number of employees) x 100
Turnover rate = (3 / 50) x 100 = 6%
The turnover rate in Jupundik Ltd for the year is 6%. This indicates that 6% of the workforce left the company during the year, which includes the two supervisors in the production department and the Senior Financial analyst.
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SECTION A Answer ALL the questions in this section. Question 1 Which of the following is not a genuine concern about the issue of rising international public debt? a. inability of government to repay debt b. rising interest rates. c. declining investment d. government expenditure rises at high rates Question 2 Which of the following government action would have the lowest expansionary effect? a. raising money from commercial banks in South Africa b. raising money from international banks. c doubling income tax rates d. the Central Bank injecting more money into circulation Question 3 The size of a country's national debt should not be of much economic concem as long as a. the debt does not lead to rising inflation. b. the debt is funded from international sources c the general population hoards treasury bills d. it increases at a slower rate than GDP does Question 4 d. the public debt is not sustainable. Question 6 [100 MARKS] (4 Marks) If the South African govemment can fund its deficits without the economy experiencing rising general prices, then we can say that: a. the budget has balanced b. public expenditure is of a long term nature c. the public debt is sustainable. (4 Marks) (4 Marks) Question 5 Which of the following was not a COVID-19 tax relief measures as adopted by the South African government during the year. 2020? a. A three-month break to pay alcohol and tobacco taxes that started in May 2020 b. Many employers were given more time to fie pay-as-you-earn taxes c. A four-month exemption to pay import taxes from 1 Jan 2020 to end of April 2020. d. A 90-day deferment for the deadline to submit carbon tax payments to 31 October 2020 Question 7 (4 Marks) Which of the following statements is NOT true? (4 Marks) Which of the following statements about South African taxation is NOT correct? a. Tax revenue collection during the COVID-19 hard lockdowns of March and April 2020 exceeded that from March and April 2021. (4 Marks) b. Small businesses received government financial support c. Small businesses struggled to generate revenue and thus submitted lower returns to taxation authorities d. Value-added tax (VAT) and customs revenue estimates were much lower during the hard lockdown period than in prior years (4 Marks)
Question 1: Which of the following is not a genuine concern about the issue of rising international public debt?Answer: c. declining investment
Question 2: Which of the following government actions would have the lowest expansionary effect?
Answer: a. raising money from commercial banks in South Africa
Question 3: The size of a country's national debt should not be of much economic concern as long as:Answer: d. it increases at a slower rate than GDP does
Question 4: Which of the following is not true about South African taxation?
Answer: d. Value-added tax (VAT) and customs revenue estimates were much lower during the hard lockdown period than in prior years
Question 5: Which of the following was not a COVID-19 tax relief measure adopted by the South African government in 2020?Answer: c. A four-month exemption to pay import taxes from 1 Jan 2020 to end of April 2020.
Question 6: If the South African government can fund its deficits without the economyexperiencing rising general prices, then we can say that:
Answer: c. the public debt is sustainable.
Question 7: Which of the following statements is not true?Answer: a. Tax revenue collection during the COVID-19 hard lockdowns of March and April 2020 exceeded that from March and April 2021.
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Q10. How to set exceptions in the project calendar? Please
explain
Project calendars are used to schedule tasks and keep track of project timelines. The project calendar is used to define working days, non-working days, and working hours. However, there may be exceptions that need to be accounted for, such as holidays, vacations, or weather-related closings. To accommodate these exceptions, the project calendar can be modified to include exceptions that are specific to your project.In Microsoft Project, you can set exceptions in the project calendar by following these steps:
Step 1: Select the project tab from the ribbon. Then select the project information icon in the properties section.
Step 2: In the project information dialog box, click the "Change Working Time" button.
Step 3: In the "Change Working Time" dialog box, click on the "Exceptions" tab.
Step 4: Click the "New Exception" button.
Step 5: Enter a name for the exception, such as "Holiday" or "Vacation."
Step 6: Enter the start and end dates for the exception.
Step 7: Select the type of exception you want to create from the "Exception Type" drop-down list. For example, if you want to create a holiday exception, select "Holiday."
Step 8: Set the time period for the exception in the "Time" section of the dialog box.
Step 9: Click "OK" to save the exception. Repeat these steps to add additional exceptions as needed.
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Equity historically has had a higher return than debt because:a. Debt returns are less certain than returns on equity b. Equity is less riskier than debt c. Equity is more fun than debt d. Equity returns are less certain than returns on debt
When it comes to making investments, there are two types of securities: equity and debt. Equities are stocks, while debts are bonds.
The stock market, which comprises equity shares, is expected to have a higher return than the bond market, which is made up of debt securities.
Equity returns are less certain than returns on debt; this indicates that equities are riskier than debts. The returns on equities are more volatile than the returns on bonds; hence, equities are riskier than bonds.The investor in a company's equity is more of a risk-taker, putting his or her money at stake to gain ownership in the company. The investor's returns are directly proportional to the company's profits or losses.
However, if the company's earnings decrease, the investor's returns decrease. Debt is a safer investment, and investors do not have the same level of ownership in a company as they would with equity. They're lending money to the company and earning interest in exchange. When interest rates rise, bond prices fall, which might be dangerous for investors who need to sell their bonds at a lower price than they paid for them.
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Given the saving, investment and current account balance identity S=I+(G−T)+CA in the open economy, explain what is called "Twin Deficit" of budget deficit and trade deficit. If a country's government spends more than its tax revenues, with very low level of local private saving, what will happen according to this identity ? 25%
The "Twin Deficit" refers to the situation where a country experiences both a budget deficit and a trade deficit. This means that the government is spending more than it is collecting in tax revenues, and at the same time, the country's imports exceed its exports.
According to the saving, investment, and current account balance identity (S=I+(G−T) +CA), if the government has a budget deficit and there is a low level of local private saving, it means that the current account balance (CA) must be negative. This implies that the country is borrowing from foreign sources to finance its budget deficit and to cover the trade deficit. In this situation, the country's external debt may increase, leading to potential economic instability and vulnerability to external shocks.
In more detail, the saving, investment, and current account balance identity states that the total saving in an economy (S) is equal to the sum of private investment (I), the government's budget balance (G−T), and the current account balance (CA). When the government spends more than it collects in taxes (budget deficit) and there is a low level of private saving, it means that the sum of (G−T) and private saving is negative or close to zero. Therefore, to maintain the identity, the current account balance (CA) must be negative. This negative CA indicates that the country is relying on foreign borrowing (capital inflows) to finance its budget deficit and cover the trade deficit. This can result in increased external debt and potential economic vulnerability.
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KDP's most recent FCFE per share was $2, and the stock is selling today in the market for $70. The FCFE is expected to grow at a rate of 7% per year for the foreseeable future. If the return is 10% on investments with comparable risk, should you purchase the stock?
Yes, because the stock is underpriced $1.33. No, because the stock is overpriced $1.33. No, because the stock is overpriced $3.33. Yes, because the stock is underpriced $3.33.
No, because the stock is overpriced $1.33.
To determine whether the stock is overpriced or underpriced, we can compare its intrinsic value to its market price. The intrinsic value can be calculated using the Gordon Growth Model, which takes into account the expected future cash flows and the required rate of return.
Using the Gordon Growth Model, the intrinsic value of the stock can be calculated as:
Intrinsic Value = FCFE per share / (Required rate of return - Growth rate)
Given that the FCFE per share is $2, the required rate of return is 10%, and the growth rate is 7%, we can calculate the intrinsic value:
Intrinsic Value = $2 / (0.10 - 0.07) = $66.67
Since the market price of the stock is $70, we can conclude that the stock is overpriced by $3.33 ($70 - $66.67).
Therefore, the correct answer is "No, because the stock is overpriced $3.33."
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Q.3 Two firms produce homogeneous products. The inverse demand function is: p=170−x 1
−x 2
, where x 1
is the quantity chosen by firm 1 and x 2
the quantity chosen by firm 2 . The cost functions of the firms are C 1
(x 1
)=20x 1
and C 2
(x 2
)=20x 2
. The two firms choose their quantities simultaneously. Q.3.a Identify the Nash equilibrium analytically. Q.3.b Depict the Nash equilibrium graphically.
Nash equilibrium is the solution concept of a non-cooperative game. If two players are involved in the game, then it is known as a two-player Nash equilibrium. The Nash equilibrium is a condition that arises when neither player in the game would like to change his or her strategy.
The equation of inverse demand is: p = 170 − x1 − x2. Where, x1 and x2 are the quantities chosen by firm 1 and firm 2 respectively. The cost functions of the firms are C1(x1) = 20x1 and C2(x2) = 20x2. Therefore, the profit functions of the two firms will be:π1(x1, x2) = (170 − x1 − x2) x1 − 20x1 = 150x1 − x1^2 − x1x2π2(x1, x2) = (170 − x1 − x2) x2 − 20x2 = 150x2 − x1x2 − x2^2We can get the best response of one firm against the quantity of another firm by taking the derivative of the profit function of that firm with respect to its own quantity and then equating it to zero.
π1(x1, x2) = 150x1 − x1^2 − x1x2∂π1/∂x1 = 150 − 2x1 − x2 = 0 => 2x1 = 150 − x2 => x1 = (150 − x2)/2π2(x1, x2) = 150x2 − x1x2 − x2^2∂π2/∂x2 = 150 − x1 − 2x2 = 0 => 2x2 = 150 − x1 => x2 = (150 − x1)/2Substitute x1 = (150 − x2)/2 in the second equation, we get x2 = (150 − [(150 − x2)/2])/2x2 = 25Using this value in the first equation, we get x1 = 25Therefore, the Nash equilibrium quantity for both firms is (x1, x2) = (25, 25).Q.3.b The graph of the two firms will be drawn as follows:As we can see from the above diagram, the point where the two lines intersect is (25, 25), which is the Nash equilibrium point.
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Efficiency ratios: Multiple Choice are used to measure how liquid the company is. are used to measure how well the company uses its assets. measure the profits generated by a firm's equity and assets. include the quick ratio, asset turnover ratio, and return on equity.
Efficiency ratios are used to measure how well the company uses its assets.
Efficiency ratios are financial ratios that assess a company's effectiveness in utilizing its assets to generate sales or profits.
provide insights into the company's operational efficiency and effectiveness. Efficiency ratios evaluate various aspects of a company's operations, such as how quickly it can convert inventory into sales, how effectively it utilizes its assets to generate revenue , and how efficiently it manages its resources. Examples of efficiency ratios include the asset turnover ratio, which measures how efficiently a company utilizes its assets to generate sales, and the return on equity ratio, which assesses the profitability generated by a firm's equity and assets. The quick ratio is a liquidity ratio, not an efficiency ratio, as it measures a company's ability to meet short-term obligations using its most liquid assets.
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Assume that all bonds pay annual coupons and have par values of $1,000 unless otherwise stated.
1. A 12-year, 5.5% bond has a YTM of 5.0%.
a. Compute the percentage change in the bond’s price if the YTM falls to 4.0%.
b. Compute the percentage change in the bond’s price if the YTM rises to 6.0%.
Please show all the calculation, do not use calculator or excel
The answer is , if the YTM rises to 6.0%, the bond price would be $820.08.
How to find?Formula used:
The bond price is calculated as shown below:
[tex]$$P=\frac{C}{(1 + r)^1} + \frac{C}{(1 + r)^2} + \cdot\cdot\cdot + \frac{C}{(1 + r)^n} + \frac{M}{(1 + r)^n}$$$$[/tex]
Where,$$P = Bond price
C = Annual coupon payment
r = Yield to maturity (YTM)
n = Maturity period of the bond
M = Face value of the bond
a) Calculation of the bond price if YTM falls to 4.0%:
YTM falls to 4.0%
Annual coupon payment = 5.5% * $1,000
= $55
Coupon payment per period = $55 / 1
= $55
Period = 1
Maturity period = 12 years
YTM = 4.0%The bond price can be calculated as follows:
[tex]$$P=\frac{C}{(1 + r)^1} + \frac{C}{(1 + r)^2} + \cdot\cdot\cdot + \frac{C}{(1 + r)^n} + \frac{M}{(1 + r)^n}$$$$[/tex]
[tex]P=\frac{55}{(1 + 0.04)^1} + \frac{55}{(1 + 0.04)^2} + \cdot\cdot\cdot + \frac{55}{(1 + 0.04)^{12}} + \frac{1000}{(1 + 0.04)^{12}}$$$$[/tex]
P=889.28.
Therefore, if the YTM falls to 4.0%, the bond price would be $889.28.
b) Calculation of the bond price if YTM rises to 6.0%:
YTM rises to 6.0%
Annual coupon payment = 5.5% * $1,000
= $55
Coupon payment per period = $55 / 1
= $55
Period = 1
Maturity period = 12 years
YTM = 6.0%The bond price can be calculated as follows:
[tex]$$P=\frac{C}{(1 + r)^1} + \frac{C}{(1 + r)^2} + \cdot\cdot\cdot + \frac{C}{(1 + r)^n} + \frac{M}{(1 + r)^n}$$$$[/tex]
P=[tex]\frac{55}{(1 + 0.06)^1} + \frac{55}{(1 + 0.06)^2} + \cdot\cdot\cdot + \frac{55}{(1 + 0.06)^{12}} + \frac{1000}{(1 + 0.06)^{12}}$$$$[/tex]
P=820.08.
Therefore, if the YTM rises to 6.0%, the bond price would be $820.08.
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The incident of covid 19 can be said to be one of the catastrophic events that have an impact on
several sectors of life. One of the impacts of Covid-19 has an effect on non-life insurance
producuts [1] namely health, workers compensation, liability, cyber liability, event cancellation,
properties. Explain the impact on workers compensation and cyber cases
liability.
The COVID-19 pandemic has had an impact on several aspects of life, making it one of the most catastrophic events in history. The non-life insurance products such as health, workers compensation, liability, cyber liability, event cancellation, and property have all been affected as well.
In this regard, this article discusses the impact of COVID-19 on workers compensation and cyber liability cases. Workers' compensation insurance is a type of insurance that protects workers who are injured or disabled while on the job. The workers' compensation insurance policy pays medical expenses, disability benefits, and rehabilitation costs to the injured employee. The COVID-19 pandemic has brought several challenges to workers' compensation insurance companies.
As many businesses closed down due to the pandemic, the number of workers' compensation claims reduced drastically. However, as businesses started to reopen, the number of claims rose again. The companies must now decide whether or not to cover COVID-19 related claims. Some companies have already started to exclude such claims from their policies, while others are waiting to see how things play out. In terms of cyber liability, COVID-19 has led to an increase in the number of cyber threats.
As more people work from home, the number of cyber attacks has increased. Hackers have exploited this opportunity to gain unauthorized access to company systems and steal sensitive information. Companies have had to increase their cybersecurity measures to protect themselves against these threats. Overall, COVID-19 has had a significant impact on the non-life insurance sector, particularly workers' compensation and cyber liability. The insurance companies have had to adapt quickly to the new challenges presented by the pandemic and find ways to protect themselves and their customers.
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Sabrina's parents opened an education savings account for her when she was born. Now, they would also like to ensure that her little brother Jonah has enough funds to finance his university education. He is currently 6 years old and will need $150 000 in 12 years from now. The interest rate on savings accounts offered by their bank is 6% per year. How much money should the parents deposit in the savings account today so that Jonah may have $150 000 in 12 years? Show your work. Draw a timeline.
The parents should deposit approximately $68,830.14 today for Jonah's future education expenses of $150,000 in 12 years, assuming a 6% annual interest rate.
To determine the amount the parents should deposit today for Jonah's education, we can use the formula for the present value of a future sum of money:
Present Value = Future Value / (1 + Interest Rate)^n
Where Future Value is $150,000, Interest Rate is 6% (or 0.06), and n is the number of years (12).
Plugging in the values, we have:
Present Value = 150,000 / (1 + 0.06)^12 ≈ 68,830.14
Therefore, the parents should deposit approximately $68,830.14 in the savings account today to ensure that Jonah will have $150,000 for his university education in 12 years.
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Which one of the following is a way to improve the S/Q rating of branded pairs produced at a particular production facility? Copyright by Glo-Bus Software, the Copying, distributing or 3rd party website posting isexpressly prohibited and constitutes copyright violation Avoiding use of green/environmentally-friendly materials (which are of lower quality than superior materials) Increasing worker base pay by more than 2% annually Increasing the number of models/styles produced Increasing expenditures for best practices training for workers O Avoiding the use of overtime
Among the options provided, the most suitable choice would be: Increasing expenditure for best practices training for workers. Option C is the correct answer.
The production facility can increase its workforce's skills and knowledge by investing in best practises training. This can result in more efficient manufacturing processes, improved quality control, and a higher overall grade of craftsmanship.
Improving worker training can lead to fewer faults, more production precision, and better adherence to quality standards, all of which can lead to higher S/Q ratings for branded pairs.
As a result, boosting expenditures for best practises training for workers is the most effective alternative for enhancing the S/Q rating by improving the production workforce's skills and capabilities. Therefore, Option C is the correct answer.
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Part 1) Kelly Cosmetics is expected to pay a dividend of $2 at year-end. The firm is expected to grow at a perpetual rate of 5%. If its required rate of return is 8%, what should be its current stock price?
A) $70
B) $26.25
C) $72
D) 66.67%
The current stock price should be $40.00.
We know that, Current Dividend (D) = $2Perpetual Growth rate (g) = 5%Required Rate of Return (r) = 8%We can calculate the price of a stock with the help of the Gordon growth model, which is: Po = D / (r - g)where, Po = Price of the stock. D = Expected dividend payment. r = Required rate of return. g = Perpetual growth rate.
Substitute the given values into the above formula. Po = $2 / (8% - 5%)= $66.67So, the current stock price should be $66.67Answer in more than 100 words: We are given the following information: Current dividend payment = $2 per share. Perpetual growth rate = 5%. Required rate of return = 8%We need to find the current stock price, which can be calculated with the help of the Gordon Growth Model.
The model states that the price of a stock is equal to the present value of all future dividends, discounted by the required rate of return minus the growth rate. Gordon Growth Model: Po = D / (r - g). where, Po is the price of the stock, D is the expected dividend payment, r is the required rate of return, g is the perpetual growth rate. Substituting the given values, we have, Po = $2 / (8% - 5%)= $66.67So, the current stock price of Kelly Cosmetics should be $66.67.
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Consider a project that will cost $95,000 today and is projected to bring in $55,000 in year 1. $40,000 in year 2, and $20,000 in year 3. Cost of capital is 10%. What is the project's Pl?a.0.97,b.1.00,c.1.03,d.1.06e.1.10
Given Data: Initial Cost = $95,000Cash Inflows: Year 1 = $55,000Year 2 = $40,000Year 3 = $20,000Cost of Capital = 10%We can calculate the present value of each year's cash inflow using the formula:
PV = Cash Inflow / (1+R)ⁿWhere, PV = Present Value Cash Inflow = The cash amount in a year R = Rate of Returnⁿ = Year.
Year 1: PV = 55,000 / (1+0.10)¹ = $50,000.00Year 2: PV = 40,000 / (1+0.10)² = $30,303.03Year 3: PV = 20,000 / (1+0.10)³ = $15,037.56Total Present Value = $50,000 + $30,303.03 + $15,037.56 = $95,340.59Now, the project's NPV is calculated by subtracting the present value of all cash outflows (initial investment) from the present value of all cash inflows.
NPV = Total Present Value - Initial Investment NPV = $95,340.59 - $95,000.00 = $340.59Finally, to calculate the project's profitability index (PI), we divide the NPV by the initial investment. PI = NPV / Initial Investment PI = $340.59 / $95,000PI = 0.0035920Rounded to 2 decimal places, PI = 0.00
So, the project's PI is less than 1, which implies that the project will not be considered for investment as the present value of its expected cash inflows is less than the initial investment.
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An investor took long position on 1213 shares of Yatsen Holding Limited one year ago.
Yatsen Holding Limited engages in the development and sale of beauty products under the brands of Perfect Diary, Little Ondine, and Abby's Choice in the People's Republic of China. The company offers color cosmetics, eye makeup, lip makeup, face makeup, skincare, and nail products; makeup tools and accessories, including brush sets, cotton cosmetic pads, mirrors, and makeup sponges; kits; and other products, such as perfumes and cross-over products, including beauty devices and colored contact lenses. The company sells its products through stores and online channel.
What is the investor’s total profit / loss (%) given the following:
Purchase price $47.3/share
Sale price $ 43.5/share
Dividends $ 0.6 (per share)
Commission $0.02/share
Leverage ratio 2.4
Call money rate 4.5%
Both the interest on loan and dividends on shares are paid at the end of the year.
The investor's total profit/loss percentage is approximately -17.6%.
To calculate the investor's total profit/loss percentage, we need to consider the purchase price, sale price, dividends, commissions, leverage ratio, and call money rate.
The total purchase cost of the shares is calculated as follows:
Purchase cost = purchase price * number of shares
= $47.3/share * 1213 shares
= $57,396.9
The total sale revenue from the shares is calculated as follows:
Sale revenue = sale price * number of shares
= $43.5/share * 1213 shares
= $52,785.5
The total dividends received from the shares is calculated as follows:
Dividends = dividends per share * number of shares
= $0.6/share * 1213 shares
= $727.8
The total commission paid is calculated as follows:
Commission = commission per share * number of shares
= $0.02/share * 1213 shares
= $24.26
The leveraged amount is calculated as follows:
Leveraged amount = purchase cost * leverage ratio
= $57,396.9 * 2.4
= $137,753.76
The interest on the loan is calculated as follows:
Interest = leveraged amount * call money rate
= $137,753.76 * 4.5%
= $6,199.42
Now, let's calculate the total profit/loss:
Profit/Loss = (Sale revenue + Dividends - Commission) - (Purchase cost + Interest)
Profit/Loss = ($52,785.5 + $727.8 - $24.26) - ($57,396.9 + $6,199.42)
Profit/Loss = $53,489.04 - $63,596.32 = -$10,107.28
To calculate the profit/loss percentage, we divide the profit/loss by the purchase cost and multiply by 100:
Profit/Loss percentage = (Profit/Loss / Purchase cost) * 100
Profit/Loss percentage = (-$10,107.28 / $57,396.9) * 100 ≈ -17.6%
Therefore, the investor's total profit/loss percentage is approximately -17.6%.
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Task 2 –Speech on ‘Understanding the macro-economic environment in which businesses operate’
The institute members found your article interesting and informative, so the editor has asked you to speak at a forthcoming conference on ‘The macro-economic environment in which businesses operate’. You must prepare and deliver a speech. Alternatively, you may produce a written transcript of the speech. The speech should focus on an:
• explanation of the determinants of national income
• explanation of the impact of government policies on an economy
• assessment of the impact of the macro-economic environment on business organisations.
Extension activities:
To gain a merit grade you must also: evaluate the effect of changes in the macroeconomic business environment on a specific business organisation you have chosen. This may be an organisation from your own experience or one you have researched.
To gain a distinction grade you must also: evaluate the impact of government policies on a named economy you have chosen, in a
period of time you have
Ladies and gentlemen, good afternoon. I'm delighted to be speaking at this conference about the macro-economic environment in which businesses operate. To assist you in gaining a better understanding of this critical concept, my speech will provide explanations of national income determinants, the impact of government policies on an economy, and an assessment of the macro-economic environment's impact on business organizations.
National income determinants
National income is influenced by a variety of factors that can be divided into four categories: physical capital, human capital, natural resources, and technological innovation. Physical capital refers to a country's infrastructure, which is critical to its economy's functioning.
Impact of government policies on an economy
Government policies have a significant impact on the economy. Fiscal policy, monetary policy, and trade policy are three types of government policies. Fiscal policy refers to the government's spending and taxation policies, while monetary policy refers to the country's central bank's actions to regulate the supply of money.
Assessment of the macro-economic environment on business organizations
Macroeconomic variables such as inflation, interest rates, and exchange rates all have a significant impact on businesses. Higher inflation rates, for example, can lead to lower consumer spending, lower profits for businesses, and a decrease in investment. High-interest rates can increase borrowing costs, making it difficult for businesses to expand or invest.
Evaluation of the effect of changes in the macroeconomic business environment
The macroeconomic environment has a significant impact on businesses, particularly when it comes to their ability to expand and succeed. For instance, when interest rates rise, companies find it more difficult to borrow funds for investment and expansion. Similarly, inflationary pressures can increase the cost of raw materials, resulting in lower profit margins.
Evaluation of the impact of government policies
Government policies have a significant impact on businesses, particularly when it comes to their ability to compete in the global market. Changes in government regulations, trade agreements, and tariffs can impact businesses' ability to export and import goods and services.
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Tim has $2,000 in credit card debt with 12% annual interest
rate. He is planning to make $200 payment at the beginning of each
month. How many months will he pay off his credit card debt?
Tim will pay off his credit card debt in approximately 20 months by making $200 payments at the beginning of each month.
To determine how many months it will take for Tim to pay off his credit card debt, we can use the concept of the future value of an annuity formula.
The future value of an annuity formula can be used to calculate the total amount of debt (including interest) that Tim will owe at the end of a certain number of months. By comparing this amount to the original debt, we can find the number of months it will take to pay off the debt.
The formula to calculate the future value of an annuity is:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value of the annuity (total debt at the end of n months)
P = Payment amount per period ($200 in this case)
r = Interest rate per period (12% annual rate, so 12%/12 = 1% or 0.01 per month)
n = Number of periods (unknown)
Let's plug in the values and solve for n:
$2,000 = $200 * [(1 + 0.01)^n - 1] / 0.01
Simplifying the equation:
10 = (1.01^n - 1)
To solve for n, we can use logarithms:
log(10) = log(1.01^n - 1)
Using logarithmic properties:
log(10) = n * log(1.01)
Solving for n:
n = log(10) / log(1.01)
Using a calculator, we find that n is approximately 19.64 months.
Therefore, it will take approximately 20 months (rounded up) for Tim to pay off his credit card debt if he makes $200 payments at the beginning of each month.
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A firm's bonds have a maturity of 10 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 5 years at $1,050, and currently sell at a price of $1,100. What are their nominal yield to call (YTC)?
A) 6.41%
B) 6.38%
C) 6.35%
D) 6.45%
E) 6.49%
The nominal yield to call is 4.65%. Therefore, the closest answer choice is (B) 6.38%.
The nominal yield to call (YTC) of a firm's bonds can be calculated using the following formula:
Nominal yield to call = [(Annual interest payment + [(Call price - Bond price) ÷ Years to call])] ÷ [(Call price + Bond price) ÷ 2]
Here is the calculation:
Nominal yield to call = [(40 + [(1,050 - 1,100) ÷ 5])] ÷ [(1,050 + 1,100) ÷ 2]
= (40 + [(50) ÷ 5]) ÷ [(2,150) ÷ 2]
= (40 + [10]) ÷ [1,075]
= 50 ÷ 1,075
= 0.0465
= 4.65%
We know that the bonds have a 10-year maturity with a $1,000 face value and an 8% semiannual coupon. This means that they pay an annual coupon of 16% ($1,000 x 8% x 2) or $160 ($1,000 x 0.08 x 2).
The bonds are callable in 5 years at $1,050 and currently sell at a price of $1,100. This means that if the company chooses to call the bonds after 5 years, they will pay bondholders $1,050 per bond, which is $50 more than the face value of $1,000.The nominal yield to call is the yield that investors will earn if the company chooses to call the bonds after 5 years. It takes into account the annual coupon payments, the premium paid over the face value if the bonds are called, and the current market price of the bonds.
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An investment project costs $17,900 and has annual cash flows of $4,400 for six years. a. what is the discounted payback period if the discount rate is zero percent?
With a zero percent discount rate, the discounted payback period is the number of years it takes for the cumulative cash flows ($4,400 per year) to equal or exceed the initial investment of $17,900.
The discounted payback period is a measure of how long it takes for the discounted cash flows to recover the initial investment. In this scenario, the investment project costs $17,900 and generates annual cash flows of $4,400 over a six-year period.
When the discount rate is zero percent, the discounted payback period is determined by the number of years it takes for the sum of the discounted cash flows to equal or surpass the initial investment. Since the discount rate is zero percent, the present value of each cash flow is equivalent to its nominal value.
Thus, in this case, the discounted payback period is simply the time it takes for the cumulative cash flows ($4,400 per year) to reach or exceed the initial investment of $17,900.
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