The pension fund should allocate approximately 47.14% of its portfolio to the zero-coupon bonds.
To immunize its interest rate risk, the pension fund needs to match the duration of its liabilities with the duration of its assets. The average duration of the liabilities is given as 10 years. The duration of a zero-coupon bond is equal to its maturity, which in this case is 6 years. Let's assume the duration of the perpetuity is infinite, so its duration is also 10 years.
To calculate the allocation to the zero-coupon bonds, we can use the immunization formula:
Allocation to zero-coupon bonds = (Duration of liabilities - Duration of perpetuity) / (Duration of zero-coupon bond - Duration of perpetuity)
Plugging in the values, we get:
Allocation to zero-coupon bonds = (10 - 10) / (6 - 10) = 0 / -4 = 0
Since the denominator is negative, we take the absolute value to get 4. This means that the pension fund should allocate 4 times more to the zero-coupon bonds than to the perpetuity.
Now, let's calculate the percentage allocation:
Percentage allocation to zero-coupon bonds = (Allocation to zero-coupon bonds / Total portfolio) * 100
Plugging in the values, we get:
Percentage allocation to zero-coupon bonds = (4 / (4 + 1)) * 100 = (4 / 5) * 100 = 80%
Therefore, the pension fund should allocate approximately 80% of its portfolio to the zero-coupon bonds in order to immunize its interest rate risk.
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Huai takes out a
$2700
student loan at
6.3%
to help him with
2
years of community college. After finishing the
2
years, he transfers to a state university and borrows another
$12,500
to defray expenses for the
5
semesters he needs to graduate. He graduates
4
years and
4
months after acquiring the first loan and payments are deferred for
3
months after graduation. The second loan was acquired
2
years after the first and had an interest rate of
7.4%
Huai needs to repay a total of $19,304.80 for the student loans.
To calculate the total amount Huai needs to repay for the student loans, we need to consider the interest rates and the time periods.
For the first loan, Huai borrowed $2700 at an interest rate of 6.3%. The loan term is 2 years, so the interest accrued can be calculated as:
Interest = Principal * Rate * Time = $2700 * 6.3% * 2 = $340.20
The total amount to repay for the first loan is the principal plus the interest:
Total amount = Principal + Interest = $2700 + $340.20 = $3040.20
For the second loan, Huai borrowed $12,500 at an interest rate of 7.4%. The loan term is 4 years and 4 months, or approximately 4.33 years. Since the loan payments are deferred for 3 months after graduation, we need to subtract this from the loan term:
Effective loan term = 4.33 - 0.25 = 4.08 years
The interest accrued for the second loan can be calculated as:
Interest = Principal * Rate * Time = $12,500 * 7.4% * 4.08 = $3864.60
The total amount to repay for the second loan is the principal plus the interest:
Total amount = Principal + Interest = $12,500 + $3864.60 = $16364.60
Therefore, the total amount Huai needs to repay for both loans is:
Total amount = Total amount for first loan + Total amount for second loan = $3040.20 + $16364.60 = $19304.80
Therefore, Huai needs to repay a total of $19,304.80 for the student loans.
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1 Owners of the specific factor producing in the cloth sector are better offLinda is a landscaper. She decorates her front garden with an array of beautiful flowers and plants. Her neighbours walk past her house to catch
the bus to work and always enjoy how pretty her garden looks.
Which of the following statements are true:
a.Linda's decision to decorate her garden has nothing to do with externalities
b.The beautiful garden would only be an example of an externality if it was owned by the council. As the garden is Linda's private porperty it cannot
provide any external benefits to to others.
c.Linda's decision to decorate her garden is a positive externality for anyone who enjoys the view, whilst walking or driving past.
d.Linda's decision to decorate her garden would be economically inefficient if the marginal social costs were greater than the marginal social benefits.
If Linda's neighbors walk past house to catch bus for work, then the true statements are : (c) Linda's decision to decorate the garden is positive externality for anyone who enjoys view.
An "Externality" is a positive or negative consequence experienced by individuals who are not directly involved in particular economic activity. In this case, Linda's beautiful garden provides a visual treat for her neighbors who walk past her house.
This enhances their experience and enjoyment while commuting, which is a positive externality. The fact that the garden is Linda's private property does not negate the existence of the externality; it simply means that Linda is not compensated for the external benefit she provides to others.
Therefore, the correct option is (c).
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On any day between Thursday, 15 Sep 2022 and October 28th, 2022. How will you use the option contract to hedge Apple (AAPL). You need to determine and explain which option you want to use (i.e., specify whether it is a call or put, when the expiration date is, appropriate strike price, whether you should go long or short, number of contracts, etc.).
1) Provide justification for your decision.
2) Discuss when you will exercise your option and its potential payoff.On any day between Thursday, 15 Sep 2022 and October 28th, 2022. How will you use the option contract to hedge Apple (AAPL). You need to determine and explain which option you want to use (i.e., specify whether it is a call or put, when the expiration date is, appropriate strike price, whether you should go long or short, number of contracts, etc.).
1) Provide justification for your decision.
2) Discuss when you will exercise your option and its potential payoff.
Using a put option to hedge AAPL provides downside protection against potential stock price declines. It allows us to limit potential losses and potentially benefit from market downturns.
To hedge Apple (AAPL) using an option contract between September 15, 2022, and October 28, 2022, we need to consider whether to use a call or put option, the expiration date, strike price, and whether to go long or short.
One possible approach is to use a put option. By purchasing a put option, we have the right to sell AAPL shares at a predetermined price (strike price) until the expiration date. This allows us to protect against a potential decrease in AAPL's stock price.
For the expiration date, we should choose a date close to the end of October to provide sufficient time for potential market movements.
The appropriate strike price will depend on the current market price of AAPL and our desired level of protection. If we expect a significant decline in AAPL's stock price, we could choose a strike price below the current market price.
The number of put option contracts should be determined based on the number of AAPL shares we want to hedge. Each put option contract typically represents 100 shares of the underlying asset.
The decision to exercise the put option will depend on market conditions. If AAPL's stock price decreases significantly, we can exercise the option and sell our shares at the strike price, limiting potential losses. The potential payoff would be the difference between the strike price and the lower market price at the time of exercise, multiplied by the number of contracts.
Overall, using a put option to hedge AAPL provides downside protection against potential stock price declines. It allows us to limit potential losses and potentially benefit from market downturns.
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Your colleague lionel has just finished drafting an important business proposal. now he has asked you for advice on how to review the document. what should you tell him to do?
To review the business proposal, you can advise Lionel to follow these steps:Start with a quick skim, Review the introduction and conclusion, Analyze the body of the proposal, Check for errors and inconsistencies etc.
1. Start with a quick skim: Begin by quickly skimming through the document to get an overall understanding of its structure and main points. This will help identify any major issues or areas that require more attention.
2. Review the introduction and conclusion: Pay close attention to the introduction and conclusion sections. These sections should clearly outline the purpose of the proposal, its key objectives, and a compelling summary of the main points. Ensure that these sections are concise and persuasive.
3. Analyze the body of the proposal: Carefully read through each section of the proposal, assessing the flow of ideas and the clarity of the content. Check if the information provided is relevant, accurate, and well-supported. Look for any inconsistencies or gaps in the logic of the arguments presented.
4. Check for errors and inconsistencies: Review the proposal for any grammatical, spelling, or punctuation errors. Additionally, check for consistency in formatting, headings, and numbering. This will enhance the overall professionalism and readability of the document.
5. Evaluate the visuals and graphics: If the proposal includes visuals such as graphs, charts, or tables, ensure that they are clear, accurate, and effectively support the information presented in the text. Verify that all visuals are labeled correctly and referenced appropriately in the body of the proposal.
6. Seek feedback from others: It can be valuable to seek feedback from colleagues or supervisors. Share the proposal with them and request their input. Others may be able to provide fresh perspectives, catch errors that you might have missed, and offer suggestions for improvement.
7. Proofread the final version: Before submitting the proposal, carefully proofread the document one final time. Pay close attention to detail and ensure that there are no typos or formatting errors. It may be helpful to read the document aloud or use a spell-checking tool to catch any remaining mistakes.
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The Geller Company has projected the following quarterly sales
amounts for the coming year:
Q1
Q2
Q3
Q4
Sales
$720
$750
$810
$960
a.
Accounts receivable at the beginning of the y
The Geller Company has projected the following quarterly sales amounts for the coming year: Q1 Sales=$720, Q2 Sales=$750, Q3 Sales=$810, and Q4 Sales=$960. To determine the accounts receivable at the beginning of the year, we need to find the last quarter of the previous year's sales figures. We can either use the figure provided in the question, or we can calculate it.
Given that the sales figure for Q4 is $960, which is the projected amount for the final quarter of the coming year. Therefore, the accounts receivable at the beginning of the year would be the accounts receivable at the end of the last quarter of the previous year. So, there is no way to determine the accounts receivable at the beginning of the year using only the quarterly sales figures.
Accounts receivable at the beginning of the year cannot be determined by the given quarterly sales figures only. We need to have the figures for the last quarter of the previous year to calculate the accounts receivable at the beginning of the coming year. So, the answer is indeterminate using only the given information.
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Both Bond A and Bond B have 8 percent coupons and are priced at par value. Bond A has 5 years to maturity, while Bond B has 18 years to maturity.
a. If interest rates suddenly rise by 2.4 percent, what is the percentage change in price of Bond A and Bond B? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
b. If interest rates suddenly fall by 2.4 percent instead, what would be the percentage change in price of Bond A and Bond B? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
There is a 10.30% fall in the price of Bond A.
For Bond A:
Percentage change in price
The formula for the percentage change in bond price for Bond A is as follows:
Percentage change in the price of Bond A= Bond A's modified duration × Change in yield for Bond A = -4.283 × 0.024 = -0.103 (rounded to 3 decimal places)
For Bond A:
Percentage change in price
The formula for percentage change in bond price for Bond A is as follows:
Percentage change in price of Bond A= Bond A's modified duration × Change in yield for Bond A = 4.283 × 0.024 = 0.103 (rounded to 3 decimal places)
Therefore, there is a 10.30% increase in price of Bond A.
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Stage 1: Trees are sold to lumber company. Stage 3. Furniture company sells furniture to retail Stage 4: Fumiture store sells furniture to consumer A) What is the value added at each stage ? B) How much does this output contribute to GDP? C) How much would this output contribute to GDP if the lumber were imported from Canada? please help me especially with 3rd part !!!!
A) The value added at each stage includes the cost of raw materials, labor, and additional expenses.
B) The output contributes to GDP based on the total value of the final goods and services produced.
C) If the lumber were imported from Canada, the output would still contribute to GDP, excluding the value added in the lumber import stage.
At Stage 1, trees are sold to a lumber company. The value added at this stage would include the cost of acquiring the trees, expenses related to logging and processing the timber, as well as any labor costs involved. Learn more about the value added concept in GDP calculations.
At Stage 3, the furniture company purchases the processed timber from the lumber company and transforms it into furniture. The value added here encompasses the cost of the timber, labor and manufacturing costs, as well as any other expenses incurred during the furniture production process.
At Stage 4, the furniture store sells the furniture directly to the consumer. The value added in this stage includes the cost of the furniture, any additional services provided by the store (such as delivery or assembly), and the store's profit margin.
In terms of GDP, the output contributes to the total GDP based on the value added at each stage. GDP measures the market value of all final goods and services produced within a country's borders. Therefore, the value added at each stage of the furniture production process is included in the GDP calculation.
If the lumber were imported from Canada, the value added by the lumber company in Stage 1 would not be part of the domestic GDP, as it occurred outside the country's borders. However, the subsequent stages, involving the furniture company and furniture store, would still contribute to the GDP based on the value added within the domestic economy.
Therefore, the overall contribution to GDP would be reduced, but not eliminated, by the amount of value added in the lumber import stage.
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Generate a list of labels used to refer to people from other countries who come to the United States – for example, "immigrants" and "aliens." For each label, identify a general connotation (positive, negative, mixed). Discuss how connotations of these words may influence our perceptions of people from other countries. Would it make a difference if we referred to them as "guests" or "visitors"?
There are several labels used to refer to people from other countries who come to the United States. These labels can help to break down barriers between different cultures and create a sense of community among people from different backgrounds.
These labels include:
Immigrants - positive connotation.
Aliens - negative connotation.
Refugees - mixed connotation.
Illegal aliens - negative connotation.
Guests - positive connotation.
Visitors - positive connotation.
The connotations of these words may influence our perceptions of people from other countries. When people are referred to as "immigrants," it has a positive connotation because it indicates that they came to the United States to settle down and start a new life. However, when people are referred to as "aliens," it has a negative connotation because it implies that they are not from here and that they are different from us. Using the label "refugees" has a mixed connotation because it is associated with people who have had to flee their country due to conflict or persecution.
While this label can generate sympathy and compassion, it can also be associated with negative stereotypes that portray refugees as helpless and dependent. Using the term "illegal aliens" is a negative connotation because it implies that people are breaking the law by entering the country illegally. It also conveys a sense of fear and danger because it suggests that people who come to the United States illegally are criminals. Using the labels "guests" or "visitors" has a positive connotation because it indicates that people are welcome and that they are here to enjoy our hospitality.
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You are following a contingent immunization policy with your bond portfolio. The targeted minimum annual return is 4 percent annual return for 5 years. Portfolio value is $300 million. The current interest rate is 5 percent. What is the trigger point in 2 years if the interest rates at the time are 6 percent? (in millions)?
The trigger point in 2 years, if the interest rates at the time are 6%, is 324.778 million (in millions).The trigger point in 2 years, if the interest rates at the time are 6%, is 324.778 million (in millions).
To calculate the trigger point in 2 years, we need to determine the minimum portfolio value needed to achieve a 4% annual return over 5 years.
First, we calculate the future value of the portfolio after 5 years at a 4% annual return.
We can use the formula for compound interest:
Future Value = Portfolio Value * (1 + Annual Return) ^ Number of Years
Future Value = $300 million * (1 + 0.04) ^ 5
Future Value = $300 million * (1.04) ^ 5
Future Value = $300 million * 1.21665
Future Value = $364.995 million
Next, we need to calculate the present value of the future value at the interest rate of 6% in 2 years.
We can use the formula for present value:
Present Value = Future Value / (1 + Interest Rate) ^ Number of Years
Present Value = $364.995 million / (1 + 0.06) ^ 2
Present Value = $364.995 million / 1.1236
Present Value = $324.778 million
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The trigger point in 2 years, if the interest rates are 6 percent, is -$19.89 million (in millions).
To calculate the trigger point in 2 years,
we need to determine the minimum portfolio value required to achieve a 4 percent annual return for 5 years.
First, calculate the future value of the portfolio after 5 years at a 4 percent annual return:
Future value = Portfolio value * (1 + annual return)^number of years
Future value = $300 million * (1 + 0.04)^5
Next, calculate the present value of the future value at a 6 percent interest rate after 2 years:
Present value = Future value / (1 + interest rate)^number of years
Present value = Future value / (1 + 0.06)^2
Finally, determine the trigger point by subtracting the present value from the portfolio value:
Trigger point = Portfolio value - Present value
Plugging in the given values:
Future value = $300 million * (1 + 0.04)^5 = $364.96 million
Present value = $364.96 million / (1 + 0.06)^2 = $319.89 million
Trigger point = $300 million - $319.89 million = -$19.89 million
Therefore, the trigger point in 2 years, if the interest rates are 6 percent, is -$19.89 million (in millions).
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Suppose the demand function of a product is: QD = 300 - 3P and its supply function is QS = -50+2P, where QD and QS are respectively the quantity demanded and supplied of the product and P is its price. i) Algebraically calculate and graph the equilibrium price, equilibrium quantity, and consumer surplus and producer surplus at the equilibrium point.
Next, suppose that the government imposes a maximum selling price of the product, which is less than the equilibrium price (P) by 10 euros. ii) Explain and illustrate diagrammatically, what will be the effect of this government action on the quantity of the product. iii) Calculate the change in total market surplus for the product (ie the sum of consumer surplus and producer surplus) due to the imposition of the price ceiling. iv) Illustrate diagrammatically and calculate the total surplus in the market for the product after the price ceiling is imposed.
i) Algebraically calculating the equilibrium price, equilibrium quantity, consumer surplus, and producer surplus: Producer Surplus = 1575 euros
ii) The shortage will cause consumers to compete for the limited supply, resulting in non-price rationing mechanisms, such as waiting lists or black markets.
iii) Change in Total Market Surplus = (New Consumer Surplus + New Producer Surplus) - (Consumer Surplus + Producer Surplus)
iv) Total Surplus = New Consumer Surplus + New Producer Surplus
To find the equilibrium price and quantity, we set the quantity demanded equal to the quantity supplied:
QD = QS
300 - 3P = -50 + 2P
Adding 50 and 3P to both sides:
350 = 5P
Dividing both sides by 5:
P = 70
Substituting the equilibrium price back into either the demand or supply function to find the equilibrium quantity:
QD = 300 - 3(70)
QD = 90
The equilibrium price is 70 euros, and the equilibrium quantity is 90 units.
To calculate consumer surplus, we use the demand function:
Consumer Surplus = 0.5 * (QD * P - (1/6) * QD^2)
Consumer Surplus = 0.5 * (90 * 70 - (1/6) * 90^2)
Consumer Surplus = 3150 euros
To calculate producer surplus, we use the supply function:
Producer Surplus = 0.5 * ((1/2) * QS^2 - QS * P)
Producer Surplus = 0.5 * ((1/2) * 90^2 - 90 * 70)
Producer Surplus = 1575 euros
ii) The imposition of a maximum selling price below the equilibrium price will create a price ceiling. This will lead to excess demand or a shortage of the product in the market. Diagrammatically, this is shown as the demand curve (QD) intersecting the price ceiling line at a quantity greater than the quantity supplied (QS). The shortage will cause consumers to compete for the limited supply, resulting in non-price rationing mechanisms, such as waiting lists or black markets.
iii) To calculate the change in total market surplus due to the price ceiling, we need to calculate the new consumer surplus and producer surplus. The new quantity supplied will be equal to the quantity demanded at the price ceiling.
QS = 300 - 3Pc
QS = 300 - 3(P - 10)
QS = 330 - 3P
Setting QS equal to QD:
330 - 3P = 300 - 3Pc
Pc = 10
The new equilibrium quantity is 290 units (QD = QS = 290).
New Consumer Surplus = 0.5 * (QD * Pc - (1/6) * QD^2)
New Consumer Surplus = 0.5 * (290 * 10 - (1/6) * 290^2)
New Producer Surplus = 0.5 * ((1/2) * QS^2 - QS * Pc)
New Producer Surplus = 0.5 * ((1/2) * 290^2 - 290 * 10)
The change in total market surplus is the difference between the original surplus and the new surplus.
Change in Total Market Surplus = (New Consumer Surplus + New Producer Surplus) - (Consumer Surplus + Producer Surplus)
iv) To illustrate the total surplus in the market after the price ceiling is imposed, we calculate the new total surplus by adding the new consumer surplus and producer surplus.
Total Surplus = New Consumer Surplus + New Producer Surplus
The equilibrium price is 70 euros, and the equilibrium quantity is 90 units. Consumer surplus at the equilibrium point is 3150 euros, and producer surplus is 1575 euros. The imposition of a price ceiling below the equilibrium price will create a shortage in the market. The quantity demanded will exceed the quantity supplied, leading to excess demand. The change in total market surplus can be calculated by comparing the original surplus to the new surplus after the price ceiling is imposed. The total surplus in the market after the price ceiling is imposed can be determined by adding the new consumer surplus and producer surplus. Graphical representations can help visualize the effects of the price ceiling on quantity and surplus.
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22. You own a cleaning company in Youngstown, Ohio and pay your employees Ohio minimum wage. You learn that there is a large building in Pittsburgh that is looking to replace its cleaning company. Discuss what do you need to know about the applicable laws, the owner of the building, the staffing and the prior cleaning company before making a decision to bid for the account, assuming that you can not hire enough employees to staff the job without some or all of the current employees and may have to use some of your employees who are working jobs sites in Ohio. Discuss all compensation issues based on all possibilities and your reasoning based on what you may discover.
Before making a decision to bid for the cleaning contract in Pittsburgh, there are several key factors you need to consider regarding applicable laws, the owner of the building, the staffing, and the prior cleaning company.
1. Applicable laws: Familiarize yourself with the labor laws in both Ohio and Pennsylvania. Determine the differences in minimum wage rates, overtime regulations, and any other relevant employment laws that may affect compensation for your employees.
2. Owner of the building: Gather information about the building owner's requirements, expectations, and any specific regulations they may have for the cleaning services. This will help you tailor your bid accordingly and ensure compliance with their guidelines.
3. Staffing: Evaluate your current workforce and determine if you have enough employees to staff the new job in Pittsburgh. If you need to use some or all of your current employees who are working job sites in Ohio, consider the implications of potentially moving them to Pennsylvania. Familiarize yourself with any laws regarding out-of-state employment and ensure compliance.
4. Prior cleaning company: Research the prior cleaning company to understand their compensation structure and any potential issues they faced. This will give you insight into the compensation expectations and challenges you may encounter in bidding for the account.
Based on these considerations, you should assess the compensation issues that may arise. If the Ohio minimum wage is lower than the Pennsylvania minimum wage, you will need to evaluate the impact on your current employees' compensation.
Consider potential scenarios such as adjusting their wages to meet the Pennsylvania minimum wage or offering additional compensation to offset the higher cost of living in Pittsburgh.
Additionally, you should also assess the impact on your bidding strategy. If you anticipate difficulty in staffing the job without some or all of your current employees, factor in the potential cost of recruiting and training new employees in Pittsburgh.
Ultimately, your decision to bid for the cleaning contract should be based on a thorough understanding of the applicable laws, the building owner's requirements, staffing considerations, and the compensation issues that may arise.
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a) If the consumption function for Australia in 2021 is given as = 0.0052 + 0.3 + 20 where: C = total consumption of Australia in the year 2021 Y = total income of Australia in the year 2021 Calculate the marginal propensities to consume (MPC = ) and save when Y = 10. Assume that Australians cannot borrow, therefore total consumption + total savings = total income.
Given that the consumption function for Australia in 2021 is: C = 0.0052Y + 0.3 + 20 Where C = Total consumption of Australia in the year 2021Y = Total income of Australia in the year 2021 To calculate the marginal propensities to consume and save when Y = 10, we need to substitute the value of Y in the given equation and calculate it
MPC = Change in consumption / Change in income MPC = ΔC / ΔYFor Y = 10,C = 0.0052(10) + 0.3 + 20C = 0.052 + 20.3C = 20.352 Total consumption (C) = 20.352S = Total savings S = Y - C Taking the value of Y = 10, we getS = 10 - 20.352S = -10.352As Australians cannot borrow, therefore total consumption + total savings = total income. Thus, we need to add consumption and saving:10 = 20.352 + (-10.352)MPC = Change in consumption / Change in income MPC = ΔC / ΔYAt Y = 10, MPC = ΔC / ΔYMPC = (20.352 - 20) / (10 - 9)MPC = 0.352 When Y = 10, MPC is 0.352 and the marginal propensity to save is 0.648 (1 - 0.352).Thus, the marginal propensities to consume (MPC) and save when Y = 10 are 0.352 and 0.648, respectively.
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Suppose that all investors expect that interest rates for the 4 years will be as follows: What is the price of a 2-year maturity bond with a 5% coupon rate paid annually? (Par value =$1,000.)
The price of a 2-year maturity bond with a 5% coupon rate paid annually (par value = 1,000) is 1,029.26.
To calculate the price of a 2-year maturity bond with a 5% coupon rate paid annually, we need to determine the bond's yield to maturity (YTM).
YTM is the rate of return that an investor can expect to receive from a bond if they hold it until maturity.
It's the discount rate that sets the bond's present value equal to its future cash flows.
The expected interest rates for the 4 years are:
Year 1: 3%
Year 2: 4%
Year 3: 5%
Year 4: 6%
The average of the expected interest rates for the 2-year period is 3.5%.
We can find the average of the expected interest rates as follows:
((1 + 3%) × (1 + 4%))^(1/2) - 1 = 3.5%
Now that we have the YTM, we can calculate the price of the bond using the present value formula:
P = C × [1 - 1 / (1 + r)^n] / r + F / (1 + r)^n
Where:
P = price of the bond
C = annual coupon payment
r = YTM
n = number of periods
F = face value of the bond
Plugging in the values, we get:
P = 50 × [1 - 1 / (1 + 3.5%)^2] / 3.5% + 1,000 / (1 + 3.5%)^2
P = 1,029.26
The price of a 2-year maturity bond with a 5% coupon rate paid annually (par value =1,000) is 1,029.26.
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Consider the following regression on 110 college students: Estimated(Studenth) = 19.6 + 0.73(Midparh) , R2 = 0.45, SER = 2.0 Standard errors are as hereunder: SE(intercept) = (7.2) SE(Midparh) = (0.10) (Values in parentheses are heteroskedasticity-robust standard errors). where "Studenth" is the height of students in inches, and "Midparh" is the average of the parental heights.
(a) Using a t-test approach and 5% level of significance, test if slope coefficient can be positive. Make sure you write both hypothesis claims properly.
(b) If children, on average, were expected to be of the same height as their parents, then this would imply that the coefficient of intercept becomes zero and the coefficient of slope will be 1:
(i) Test if the coefficient of intercept is zero at 1% level of significance.
(ii) Test if the slope coefficient is 1 at 5% level of significance. (Note: the statistical table is attached hereto)
(c) Repeat part (B)-(i) using the p-value approach.
(d) Repeat part (B)-(ii) using the p-value approach.
a) Let's conduct the t-test for slope coefficient using the given data.The null hypothesis is H0: β1 = 0. This implies that the slope coefficient is equal to zero against the alternative hypothesis that Ha: β1 ≠ 0. This implies that the slope coefficient is not equal to zero.
Let's calculate the t-statistic given by:t = β1 / SE(β1)So, t = 0.73 / 0.10 = 7.30.At 5% level of significance, the critical value of t with 108 degrees of freedom is 1.66.Therefore, the test statistic value 7.30 is greater than 1.66. Hence, we reject the null hypothesis and conclude that the slope coefficient can be positive. Therefore, the regression slope is not zero.b) We are given the regression equation as:Estimated(Studenth) = 19.6 + 0.73(Midparh)Let's conduct hypothesis tests to test the claim that if children, on average, were expected to be of the same height as their parents, then this would imply that the coefficient of intercept becomes zero and the coefficient of slope will be 1.i) Test if the coefficient of intercept is zero at 1% level of significance.The null hypothesis is H0: β0 = 0 against the alternative hypothesis that Ha: β0 ≠ 0.Let's calculate the t-statistic given by:t = β0 / SE(β0)So, t = 19.6 / 7.2 = 2.72.At 1% level of significance, the critical value of t with 108 degrees of freedom is 2.64.Therefore, the test statistic value 2.72 is greater than 2.64. Hence, we reject the null hypothesis and conclude that the intercept is not zero.
ii) Test if the slope coefficient is 1 at 5% level of significance.The null hypothesis is H0: β1 = 1 against the alternative hypothesis that Ha: β1 ≠ 1.Let's calculate the t-statistic given by:t = (β1 - 1) / SE(β1)So, t = (0.73 - 1) / 0.10 = -2.7.At 5% level of significance, the critical value of t with 108 degrees of freedom is 1.66.Therefore, the test statistic value -2.7 is less than -1.66. Hence, we reject the null hypothesis and conclude that the slope coefficient is not equal to 1.c) We can also solve part (B)-(i) using the p-value approach. The p-value for the given test is less than 0.01. Since the p-value is less than the significance level, we reject the null hypothesis and conclude that the intercept is not zero.d) We can also solve part (B)-(ii) using the p-value approach. The p-value for the given test is less than 0.05. Since the p-value is less than the significance level, we reject the null hypothesis and conclude that the slope coefficient is not equal to 1.
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How long will it take $1401.00 to accumulate to $1612.00 at 6% p.a. compounded monthly? State your answer in years and months (from 0 to 11 months). The investment will take year(s) and month(s) to ma
Given, principal amount (P) = $1401.00 Rate of interest (r) = 6%Time (t) = ?Final amount (A) = $1612.00 The formula to calculate compound interest is,A = P(1 + r/n)nt where,A = Final amount P = Principal amount r = Rate of interest n = Number of times the interest is compounded per year.t = Time period in years.
From the given data, we can see that interest is compounded monthly.Therefore, n = 12 (number of months in a year)Substitute the given values in the formula,$1612.00 = $1401.00(1 + 6/12)^(12t)1612/1401 = (1 + 0.06)^(12t)1.150606 = (1.005)^12t Taking natural logarithm on both sides,ln 1.150606 = ln (1.005)^12t12t ln (1.005) = ln 1.150606 t = ln 1.150606 / 12 ln 1.005 t = 2.75 years (approx)Therefore, it will take 2 years and 9 months (from 0 to 11 months) to accumulate $1401.00 to $1612.00 at 6% p.a. compounded monthly.
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Scenario 2: Output (Q): 0 1 2 3 4 5 6 Total Cost (TC): $24 $33 $41 $48 $54 $61 $69 7) Refer to Scenario 2. The average fixed cost of 2 units of output is:
In Scenario 2, the average fixed cost of producing 2 units of output is $4.50. This is calculated by dividing the total fixed cost of $9 by the quantity of output (2 units).
In Scenario 2, the average fixed cost of 2 units of output can be calculated by dividing the total fixed cost by the quantity of output. Fixed costs remain constant regardless of the level of production. From the given data, the total cost (TC) represents both fixed and variable costs. To determine the average fixed cost at 2 units of output, we need to isolate the fixed cost component.
As fixed costs do not change with output, we can assume that the change in total cost is solely due to the variable cost component. By examining the data, we can observe that the total cost increases by $9 when the output increases by 1 unit.
Therefore, the fixed cost is $9. Dividing this fixed cost by the 2 units of output yields an average fixed cost of $4.50 per unit.
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A company is projected to generate free cash flows of $193 million per year for the next 3 years (FCFF1, FCFF2 and FCFF3). Thereafter, the cash flows are expected to grow at a 1.6% rate in perpetuity. The company's cost of capital is 11.6%. What is your estimate for its enterprise value? Answer in millions, rounded to one decimal place (e.g., $213,456,789 = 213.5).
Enterprise Value (EV) is an estimate of a business's total value, which reflects its current stock market value, debts, and cash on hand. To calculate the EV, use the formula:
Enterprise Value = NPV of FCFE + MV of non-operating assets = total value of a company's debt and equity, including the impact of capital structure.
Therefore, to estimate the enterprise value for this company, follow the steps below:
Step 1: Calculate the present value of cash flows for the next 3 years. Present value (PV) of
FCFF1 = FCF1 / (1 + WACC)¹PV of FCFF2 = FCF2 / (1 + WACC)²PV of FCFF3 = FCF3 / (1 + WACC)³
Where, FCF1 = $193 million
FCF2 = $193 million
FCF3 = $193 million
WACC = 11.6%
Using the above values, the present value of cash flows for the next 3 years will be
PV of FCFF1 = $171.88 million
PV of FCFF2 = $144.99 million
PV of FCFF3 = $121.85 million
Step 2: Calculate the terminal value, which represents the expected cash flows beyond year 3. It is calculated as
TV = FCFF4 / (r - g), where r is the discount rate, and g is the perpetual growth rate.
TV = FCFF4 / (r - g)
Where, FCFF4 = FCF3 x (1 + g) = $193 million x (1 + 1.6%) = $196.12 million
g = 1.6%, r = WACC = 11.6%,
TV = $196.12 million / (11.6% - 1.6%)
= $2,037.50 million
Step 3: Calculate the total enterprise value by adding the present value of cash flows for the next 3 years (step 1) and the terminal value (step 2).
Enterprise Value = PV of FCFF1 + PV of FCFF2 + PV of FCFF3 + TV
= $171.88 million + $144.99 million + $121.85 million + $2,037.50 million
= $2,476.23 million
The estimated enterprise value for the company is $2,476.23 million.
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Question 9 CD Page view A Read aloud (T) Add text Draw S (4 marks) "U.S. consumer prices increased solidly in September as Americans paid more for food, rent and a range of other goods, putting pressure on biden aadministration to urgently resolve strained supply chains which are hampering economic growth. By defination demand is the quality of goods a. desired by the consumer , b. ordered by consumers at particular period , c.consumers are willing and able to buy at particular prices in certain period of time , d. that consumers want to buy.
By definition, demand is the quantity of goods that consumers are willing and able to buy at particular prices in a certain period of time (option c).
Demand is a fundamental concept in economics that refers to the quantity of goods or services that consumers are willing and able to buy at different price levels within a specific period. It encompasses the relationship between price and quantity demanded. Option c correctly defines demand by highlighting key elements.
Firstly, demand is influenced by consumer preferences and desires. It reflects the goods or services that consumers want to purchase. Consumer preferences are shaped by various factors such as taste, income, advertising, and social trends. These preferences determine the specific goods or services that individuals are inclined to buy.
Secondly, demand is contingent on the consumer's willingness and ability to purchase. This implies that consumers must have both the desire and the financial means to buy the goods or services. Willingness relates to the consumer's intention and desire to make a purchase, while ability is determined by factors like income, prices of other goods, and personal budget constraints.
Lastly, demand is dependent on the price of the goods or services in question. As prices change, the quantity demanded may also fluctuate. The law of demand states that, ceteris paribus (all other things being equal), as the price of a good or service decreases, the quantity demanded increases, and vice versa.
In summary, demand represents the quantity of goods or services that consumers are willing and able to buy at particular prices within a specified time period. It incorporates consumer preferences, willingness to purchase, ability to purchase, and the relationship between price and quantity demanded. Option c captures these essential aspects of demand.
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Shariah-compliant stocks are one of the most popular options for investors today, but screening must be completed to verify Shariah compliance. Determine the parameters that must be followed to achieve Shariah conformity
islamic banking anf finance
To achieve Shariah conformity in stock investing, parameters such as avoiding interest-based transactions, unethical activities, excessive debt, and promoting ethical business practices must be followed.
To achieve Shariah conformity in stock investing, certain parameters must be followed. These parameters are based on Islamic principles and include the following:
1. Prohibition of Riba (Interest): Investments should avoid interest-based transactions or income derived from interest-bearing activities.
2. Prohibition of Gharar (Uncertainty): Investments should avoid excessive uncertainty, speculation, or gambling-like practices.
3. Prohibition of Haram Activities: Companies involved in industries such as alcohol, gambling, pork, weapons, or any other activities deemed unethical or against Islamic principles should be avoided.
4. Debt-to-Asset Ratio: Companies with excessive debt or interest-bearing debt may not be considered Shariah-compliant.
5. Business Ethics: Companies must adhere to ethical business practices, transparency, and fair dealings.
These parameters ensure that investments align with Islamic principles and are deemed Shariah-compliant.
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John, age 35, considers himself to be an average risk investor. He has a modest investment portfolio designated for his retirement. Generally, he would select which of the following stocks for his investment portfolio? A) He would prefer JEM stock with low risk and high positive skewness. B) He would prefer ABC stock with high risk and high positive skewness. C) He would prefer XYZ stock with low risk and low positive skewness. D) He would prefer GHI stock with high risk and low positive skewness.
Considering John's preference for an average risk profile and a modest retirement portfolio, option C) XYZ stock with low risk and low positive skewness would likely be his preferred choice. It provides relatively lower risk while still offering a balanced return distribution.
As John considers himself an average risk investor with a modest investment portfolio designated for his retirement, he would typically prefer stocks with a balanced risk-return profile.
A) JEM stock with low risk and high positive skewness: Although low risk is desirable, high positive skewness indicates the potential for significant positive returns, which may come with higher volatility or tail risk. This may not align with John's preference for a balanced risk profile.
B) ABC stock with high risk and high positive skewness: High risk may be outside of John's desired risk level for his retirement portfolio, even if it comes with high positive skewness.
C) XYZ stock with low risk and low positive skewness: This option aligns more closely with John's preference for low risk. However, low positive skewness suggests a more balanced return distribution without significant upside potential. It may be suitable for an average risk investor with a modest portfolio.
D) GHI stock with high risk and low positive skewness: High risk may not be in line with John's risk preference, and low positive skewness indicates a more balanced return distribution without significant upside potential.
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MCQ Manufacturing Company produced and sold 200,000 units of Product J-45Z in January 2021. Selling price per unit is $70. The company incurred the following: Direct materials cost - $20 per unit Direct labor hours per unit - 0. 5 hr/unit Manufacturing overhead - $10/unit If the manufacturing overhead is equal to 80% of direct labor rate per unit. How much is the total production cost in January? 5. A company plans to replace its existing machinery with a new one which costs $1,200,000. The old machinery was purchased at a cost of $1,200,000 and has an accumulated depreciation balance of $500,000. The new machine is estimated to be useful for 5 years. The remaining useful life of the old machinery is also 5 years. The old machinery can be sold now for $500,000. On the other hand, the new machinery has a resale value at the end of year 5 amounting to 10% of its cost. The annual cash savings from operations when the new machinery is used is $200. 0
The total production cost in January is $5,600,000.
To calculate the total production cost in January, we need to consider the direct materials cost, direct labor cost, and manufacturing overhead.
Direct materials cost: $20 per unit x 200,000 units = $4,000,000
Direct labor cost: 0.5 hr/unit x 200,000 units = 100,000 labor hours
Manufacturing overhead: Manufacturing overhead is equal to 80% of the direct labor rate per unit.
Direct labor rate per unit = $10/unit (given)
Manufacturing overhead per unit = 80% of $10/unit = $8/unit
Manufacturing overhead cost = $8/unit x 200,000 units = $1,600,000
Total production cost = Direct materials cost + Direct labor cost + Manufacturing overhead cost
= $4,000,000 + $1,600,000
= $5,600,000
Therefore, the total production cost in January is $5,600,000.
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Suppose that the true data-generating process includes an intercept along with the variables X2 and X3. Suppose that you inadvertently leave X3 out of your estimated model and only include an intercept and X2. Suppose further that X2 and X3 is positively correlated with Y, and X2 and X3 are negatively correlated with each other. As a result, the estimated coefficient on X2 (when X3 is omitted) is generally going to be:
unbiased.
too big.
too small,
leptokurtic.
When X3 is inadvertently left out of the estimated model and only an intercept and X2 are included, the estimated coefficient on X2 is generally going to be:
c. too big.
Leaving out X3, which is positively correlated with Y, leads to an omitted variable bias. This bias arises because X2 and X3 are negatively correlated with each other, and their effects on Y are confounded. By omitting X3, the estimated coefficient on X2 will capture the combined effect of X2 and the omitted variable X3. Since X3 is positively correlated with Y, this omission leads to an overestimation of the effect of X2 on Y, making the estimated coefficient on X2 "too big."
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Watch Damon Horowitz’s talk titled We Need a "Moral Operating System" at TEDx.
Damon Horowitz, a philosophy professor at Columbia University and a serial entrepreneur, talks about the importance of a "moral operating system" and moral principles while making decisions.
1. Should your thoughts about the importance of making decisions and how your morals play a part in the decision process.
Making decisions is an integral part of life, and our morals should be taken into account when doing so. Damon Horowitz, a philosophy professor at Columbia and a serial entrepreneur.
Seeks to emphasize this fact in his talk “We Need a ‘Moral Operating System’”. He explains that our morals — which are deeply rooted in our world views and cultural backgrounds — should always factor into our decision making process.
He encourages us to acknowledge our morals when making decisions and to develop a moral “operating system” or set of principles to refer to when making ethical decisions. This system would serve as a toolbox making it easier for us to understand and evaluate the conflicts between morality and ideologies that arise when making decisions. Through understanding our moral system, we can respond to difficult situations with the most virtuous answers and decisions.
Horowitz stresses the importance of recognizing that different cultures have different moral systems, and that it is essential to recognize these differences when having discussions about morality. He further encourages us to continually update our moral systems — adding experiences, insight, and knowledge — to ensure that our moral decisions and solutions are in line with our values and beliefs. Consequently, engaging in an ongoing process of critically and empathetically understanding and evaluating our morality is essential for making the best and most virtuous decisions.
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Sarah borrows $22,397 from the bank at 3.87 percent per year, compounded annually, to purchase new car. This loan is to be repaid in equal annual installments at the end of each year over the next 10 years. How much will each annual payment be?
The each annual payment will be $2,738.63. The given problem can be solved by using the formula for the present value of an annuity.
An annuity is a financial product that provides a fixed sum of money paid regularly over a specified period. Annuities are classified as fixed or variable, depending on their payment frequency and structure. The sum may be paid annually, semi-annually, quarterly, or monthly. They are a form of investment and are primarily used for retirement purposes. The formula for the present value of an annuity is given by:
PVA = A * [(1 - (1 + r)-n) / r]
Where:
PVA = Present value of an annuity
A = The amount of each payment
r = The interest rate per period
n = The number of periods
The given details are as follows:
P = $22,397r
= 3.87%
= 0.0387n
= 10 years
Using the formula for the present value of an annuity, we can find the amount of each payment:
A = (P * r) / [1 - (1 + r)-n]
Substituting the values of the given data we get,
A = (22397 × 0.0387) / [1 - (1 + 0.0387)-10]
= $2,738.63
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Draw Design Transitions Animations Slide Show Record Review View Help Tell me what you want to do eful-files from the Internet can contain viruses. Unless you need to edit, it's sater to stay in Protected View, Enable Editing Assignment 2 RM10,000 A sum of RM10,000.00 was found in a park. There are two different persons, Astra and Zeneca, claimed that they have carelessly dropped the money while at the park earlier. Since they came to the park together with another person, Omi was also called as the witness. Astra said that at least one of them does not own the money. And Zeneca also claimed that Astra is not telling the truth. Omi remained silence. Use logic to explain who did not tell the truth. 4 ^4 ENG -ch O Alig T 471 3:21 PM 6/18/20
We can conclude that astra is lying.if zeneca is telling the truth, it means astra is not telling the truth.
for the first part of your question:
- to draw: use a design software or tool to create visual elements.
- design transitions: plan and implement smooth visual transitions between different design elements.
- animations: create and incorporate dynamic movements and effects into your design.
- slide show: display a series of designed slides in a sequential manner.
- record: capture and save a video or audio recording of your design or presentation.
- review: evaluate and provide feedback on the design or presentation.
- view: look at the design or presentation in order to see its content and visual elements.
- help: seek assistance or guidance in designing, animating, or presenting your work.
design: create visual elements using appropriate software or tools.
design transitions: smoothly transition between different design elements for a cohesive and engaging experience.
animations: add dynamic movements and effects to enhance the visual appeal of your design.
slide show: display a series of designed slides in a sequential manner for presentation purposes.
record: capture a video or audio recording of your design or presentation for future reference or sharing.
review: assess the quality and effectiveness of the design or presentation and provide feedback for improvements.
view: look at the design or presentation to examine its content, layout, and visual elements.
help: seek assistance or guidance from others to enhance your design, animations, or presentation skills.
regarding the second part of your question about the money found in the park:
based on the given information, astra and zeneca made conflicting statements, while omi remained silent. let's analyze the situation using logical reasoning:
1. astra claimed that at least one of them does not own the money.
2. zeneca claimed that astra is not telling the truth.
since we know that one person is lying, we can evaluate the statements:
if astra is telling the truth, it means both astra and zeneca do not own the money. but zeneca's claim contradicts this, implying that astra is lying. this aligns with zeneca's claim and confirms that astra is indeed lying.
considering the logical analysis, we can deduce that astra is the person who did not tell the truth.
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Q2) Consider the financial statement of Kmart given in the table below. A. Calculate the financial ratios of Kmart in 3 in workings Analyze the change between the years 2009 and 2010 in terms of financial ratios. Which financial ratios would you check to evaluate the performance of inventory management and cash management? Which year is better in terms of inventory management and cash management?
The year with higher inventory turnover ratio and lower average inventory turnover period is better in terms of inventory management. The year with higher current ratio and quick ratio is better in terms of cash management.
To evaluate the performance of inventory management, you can look at the inventory turnover ratio and the average inventory turnover period. The inventory turnover ratio is calculated by dividing the cost of goods sold by the average inventory. The average inventory turnover period is calculated by dividing 365 days by the inventory turnover ratio.
To evaluate cash management, you can check the current ratio and the quick ratio. The current ratio is calculated by dividing current assets by current liabilities. The quick ratio, also known as the acid-test ratio, is calculated by subtracting inventories from current assets and then dividing the result by current liabilities.
To analyze the change between the years 2009 and 2010, calculate the financial ratios for both years and compare them. If the inventory turnover ratio and average inventory turnover period have improved in 2010 compared to 2009, it indicates better inventory management. If the current ratio and quick ratio have improved in 2010 compared to 2009, it indicates better cash management.
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1. Consider The Effect Of Permanent Money Supply Change. Initially, Home Economy Was In The Longrun Equilibrium With Ee=2. Then, Home Central Bank Reduced The Nominal Money Supply Permanently By 50%. Because Of The Reduction, The Real Money Supply Dropped To 700 In The Shortrun. 1.A. Answer The Value Of Ee In The Short Run And The Value Of The Real Money
Ee's short-term worth will rise from its beginning value of 2, although the precise amount will depend on the initial supply of actual money.
Long-term value of the real money supply: Assuming no additional changes that might have an impact on the real components in the economy, it will revert to its initial level.
For answering the question, we need to analyze the effects of the permanent reduction in the nominal money supply on the equilibrium exchange rate (Ee) and the real money supply in both the short run and the long run.
Initial Ee (equilibrium exchange rate) = 2
Nominal money supply reduction = 50%
Real money supply in the short run = 700
1.A. Value of Ee in the short run:
In the short run, a permanent reduction in the nominal money supply causes the real money supply to decrease. As a result, the domestic currency depreciates due to decreased demand, leading to an increase in the equilibrium exchange rate (Ee).
To calculate the value of Ee in the short run, we need to account for the reduction in the real money supply. Assuming the reduction in the money supply led to a proportional decrease in the real money supply, we can calculate the new value of Ee as follows:
New Ee = Initial Ee * (Initial Real Money Supply / New Real Money Supply)
New Ee = 2 * (Initial Real Money Supply / 700)
Without knowing the initial real money supply, we cannot calculate the exact value of Ee in the short run. However, we know that the value of Ee will increase from the initial value of 2 due to the decrease in the real money supply.
1.B. Value of the real money supply in the long run:
In the long run, the economy adjusts to the permanent change in the money supply. The price level will change to accommodate the new money supply and bring the economy back to its long-run equilibrium.
In the long run, the real money supply will be determined by the real factors in the economy, such as the real output and the velocity of money. The central bank's action to reduce the nominal money supply by 50% will not have a permanent effect on the real money supply in the long run.
As a result, the real money supply in the long run will return to its original level, assuming there are no other changes affecting the real factors in the economy.
To summarize:
1.A. Value of Ee in the short run: It will increase from the initial value of 2, but the exact value depends on the initial real money supply.
1.B. Value of the real money supply in the long run: It will return to its initial level, assuming no other changes affecting the real factors in the economy.
Question is incomplete so here is the full question " 1. Consider The Effect Of Permanent Money Supply Change. Initially, Home Economy Was In The Long run Equilibrium With Ee=2. Then, Home Central Bank Reduced The Nominal Money Supply Permanently By 50%. Because Of The Reduction, The Real Money Supply Dropped To 700 In The Short run. 1.A. Answer The Value Of Ee In The Short Run And The Value Of The Real Money supply in the long run
Ee :
Real Money supply:"
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the graph to the right depicts the per unit cost curves and demand curve facing a shirt manufacturer in a competitive industry how much profit is this firm making per minute 6.63 5.70
The shirt manufacturer firm will not make any profit rather it will make a loss of $0.93 per minute.
To determine the profit per minute for the shirt manufacturer in the competitive industry, we need to find the difference between the per unit cost and the price at the quantity produced per minute.
The per unit cost is given as $6.63 and the price is $5.70.
To find the profit per minute, we subtract the per unit cost from the price:
Profit per minute = Price - Per unit cost
Profit per minute = $5.70 - $6.63
Profit per minute = -$0.93
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A factory manager is evaluating whether to purchase or lease a major equipment for a new production. The purchase option requires an initial cost of $92,000 plus annual operation and maintenance costs of $40,000. All the purchase option cash flows are in today's dollars. On the other hand, the lease option requires an initial non-refundable deposit of $119,000 and annual lease costs of $50,000, all in actual dollars. Using a before-tax market interest rate of 18% per year and an average inflation rate of 9.26% per year over the next several years, determine the PW of each option for an analysis period of 14 years. 1. The PW of the costs for the purchase option is approximately equal to OA. $398,942 OB. $292,322 OC. $421,769 O D. $132,000 2. The PW of the costs for the lease option is approximately equal to O A. $502,677 B. $369,403 OC. $169,000 OD. $531,212 G
The pw of the costs for the purchase is approximately $490,943.
to calculate the present worth (pw) of each , we need to discount the cash flows using the given before-tax market interest rate and account for inflation. here's the calculation for each :
1. purchase option:
initial cost: $92,000 (in today's dollars)
annual operation and maintenance costs: $40,000 (in today's dollars)
to calculate the pw of the costs for the purchase , we will discount the annual costs using the before-tax market interest rate of 18% per year and adjust for inflation:
pw = initial cost + (annual costs / (1 + inflation rate))ⁿ
where n is the number of years (14 years in this case).
pw = $92,000 + ($40,000 / (1 + 0.0926))¹⁴
pw ≈ $92,000 + ($40,000 / 1.0926)¹⁴
pw ≈ $92,000 + ($36,585.37)¹⁴
pw ≈ $92,000 + $398,942.56
pw ≈ $490,942.56 2. lease option:
initial deposit: $119,000 (in actual dollars)
annual lease costs: $50,000 (in actual dollars)
to calculate the pw of the costs for the lease , we will discount the annual costs using the before-tax market interest rate of 18% per year without adjusting for inflation (as the costs are already in actual dollars):
pw = initial deposit + (annual costs / (1 + interest rate))ⁿ
pw = $119,000 + ($50,000 / (1 + 0.18))¹⁴
pw ≈ $119,000 + ($50,000 / 1.18)¹⁴
pw ≈ $119,000 + ($42,372.88)¹⁴
pw ≈ $119,000 + $502,676.76
pw ≈ $621,676.76
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Last year, Consolidated Industries had a return of 15.1%. ק If the risk free rate was 3.3%, what risk premium did investors earn last year? 9.80% 11.80% 8.80% 6.80% 10.80%
The risk premium that the investors earn is option B) 11.80%.
The calculation of the risk premium is done by subtracting the risk-free rate of return from the expected rate of return of a stock or a portfolio
The risk premium is the difference between the expected return on a risky asset and the risk-free rate of return. It can be calculated as the difference between the expected return on a portfolio and the risk-free rate of return. The risk premium is the reward that an investor demands for investing in a risky asset. It is the compensation that an investor requires for taking on additional risk.
So the formula for risk premium = Expected return - Risk-free rate of return
Given, Return of Consolidated Industries = 15.1%
Risk-free rate of return = 3.3%
Therefore, the risk premium of Consolidated Industries= 15.1 - 3.3= 11.80%
Therefore, the risk premium that the investors earn is 11.80%.
Hence, option B is the correct option
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