False. GAAP (Generally Accepted Accounting Principles) requires management to select a depreciation method that best reflects the pattern in which the asset's economic benefits are expected to be consumed or used up over its useful life.
GAAP is a collection of a common set of accounting rules, requirements, and practices issued by the Financial Accounting Standards Board (FASB) and the Governmental Accounting Standards Board (GASB). the classifications, assumptions, and procedures used in accounting in industries across the US are standardized by GAAP.
The four basic principles of GAAP are objectivity, materiality, consistency, and prudence. A collection of rules which are commonly followed in accounting and which are standards for financial reporting consists in GAAP.
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You purchased a stock for $175 and sold it for $250 one yearlater. Additionally, you received a dividend payment of $30. Whatwas your total return (yield) on this investment?
The total return (yield) on an investment which involve purchasing a stock for $175 and selling it for $250 as well as a dividend payment of $30 is 60%.
To calculate the total return (yield) on your investment, we will consider the initial stock purchase price, the selling price, and the dividend payment.
In order to calculate the total return, follow these steps:
1. Calculate the capital gain:
Selling price - Purchase price = $250 - $175 = $75.
2. Add the dividend payment:
Capital gain + Dividend = $75 + $30 = $105.
3. Calculate the total return (yield):
(Total gain / Purchase price) x 100 = ($105 / $175) x 100 = 60%.
So, your total return (yield) on this investment was 60%.
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A portfolio consists of the following two investments:
a bond with face value of $100.00 paying annual coupons of 9% maturing in 5 years
an annuity with payments of $40.00 at the end of each year for 5 years
The portfolio is comprised of 46% bonds and 54% annuities.
The term structure is flat and the current yield is 12% pa effective.
Calculate the duration (D) of the portfolio. Give your answer to 2 decimal places.
D = ______ years
The duration of the portfolio is 3.57 years.
To calculate the duration of the portfolio, we can use the following formula:
D = w1D1 + w2D2
where w1 and w2 are the weights of the bond and annuity in the portfolio, and D1 and D2 are the durations of the bond and annuity, respectively.
First, let's calculate the duration of the bond. Since the term structure is flat, the yield to maturity is equal to the current yield of 12%. Using the formula for the duration of a bond, we get:
D1 = (1 + y) * [ (1 - (1 + y)) / y ] - n * [ (1 + y) ]
where y is the annual yield to maturity, n is the number of years to maturity, and D1 is the duration of the bond.
Plugging in the values, we get:
D1 = (1 + 0.12) * [ (1 - (1 + 0.12) / 0.12 ] - 5 * [ (1 + 0.12) ]
= 3.87 years (rounded to 2 decimal places)
Next, let's calculate the duration of the annuity. Since the payments are made at the end of each year, we can use the formula for the duration of an annuity due and subtract 1 to get the duration of the annuity:
D2 = [ (1 + r) * (1 - (1 + r)) / r ] - 1
where r is the discount rate, n is the number of years, and D2 is the duration of the annuity.
Plugging in the values, we get:
D2 = [ (1 + 0.12) * (1 - (1 + 0.12)^(-5)) / 0.12 ] - 1
= 3.37 years (rounded to 2 decimal places)
Finally, we can calculate the duration of the portfolio by weighting the durations of the bond and annuity by their respective weights:
D = 0.46 * 3.87 + 0.54 * 3.37
= 3.57 years (rounded to 2 decimal places)
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to measure the effectiveness of advertising as a promotional tool, the sport marketer can evaluate impact on sales, image, and consumer awareness. a. true b. false
The statement "to measure the effectiveness of advertising as a promotional tool, the sport marketer can evaluate impact on sales, image, and consumer awareness" is true.
Evaluating the impact of advertising on sales, image, and consumer awareness is a common way to measure the effectiveness of advertising as a promotional tool.
Sales are a direct indicator of how effective an advertisement has been in generating revenue for the business. If sales have increased following an advertising campaign, it can be an indication that the advertisement has been effective in promoting the product or service.
Image refers to how the advertisement has impacted the brand image of the product or service being advertised. A successful advertisement can help to establish a positive image of the brand in the minds of consumers, which can lead to increased sales and brand loyalty.
Consumer awareness measures how well an advertisement has reached its target audience and how well it has been received.
By measuring consumer awareness, the sport marketer can determine if the advertisement has successfully reached its intended audience and if it has had a positive impact on their perception of the product or service being advertised.
In summary, evaluating the impact of advertising on sales, image, and consumer awareness can help the sport marketer to determine the effectiveness of advertising as a promotional tool.
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the process of moving strawberries, blackberries, and raspberries from portland fresh and ready farms to the farmer's market where customers will purchase them, is a marketing activity called
The process of moving strawberries, blackberries, and raspberries from Portland Fresh and Ready Farms to the farmer's market where customers will purchase them is a marketing activity called "distribution."
Distribution is a critical marketing activity that involves moving products from the manufacturer or producer to the end customer. In this case, the strawberries, blackberries, and raspberries are being transported from the farm to the farmer's market, where they will be sold directly to customers.
Effective distribution is important because it ensures that products are available in the right place at the right time, and in the right quantities. This can help to maximize sales and customer satisfaction while minimizing waste and inefficiency.
In the case of fresh produce like strawberries, blackberries, and raspberries, efficient and timely distribution is particularly important to ensure that the products arrive at their destination in good condition and are available for customers to purchase when they want them.
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You are given information for a delta-hedged portfolio for European options that you have written. For each scenario, compute the number of shares to buy or sell (indicate which action to take) on day 1 to maintain the delta-hedge for a portfolio of one option.
Stock Price Call premium Call delta (A)
Day 0 55 6.50 0.4
Day 1 60 9.50 0.6
Stock Price Put premium Put Elasticity()
Day 0 50 1.00 -5
Day 1 49 0.91 -7
To maintain the delta-hedge for a portfolio of one European call option, you should buy 0.6 shares on Day 1.
The call delta on Day 0 is 0.4, and on Day 1 it's 0.6. The change in delta (∆delta) is 0.6 - 0.4 = 0.2. Since you have written one option, you need to buy 1 × 0.2 = 0.2 shares to maintain the delta-hedge.
However, since the question asks for maintaining the hedge for a portfolio of one option, it means you need to consider the initial 0.4 delta as well. Thus, you should buy 0.4 + 0.2 = 0.6 shares on Day 1.
To maintain the delta-hedge for a portfolio of one European put option, you should sell 7 shares on Day 1.
The put elasticity on Day 0 is -5, and on Day 1 it's -7. The change in elasticity (∆elasticity) is -7 - (-5) = -2. Since you have written one option, you need to sell 1 × 2 = 2 shares to maintain the delta-hedge.
However, since the question asks for maintaining the hedge for a portfolio of one option, it means you need to consider the initial -5 elasticity as well. Thus, you should sell -5 + (-2) = -7 shares on Day 1.
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Paola has little choice in how to accomplish her work tasks—her company employs strict process control.
-Skill variety
-Task Significance
-Task Identity
-Feedback
-Autonomy
Paola's work situation involves strict process control, which means her autonomy is limited. This can affect her skill variety, as she may not have the opportunity to use a diverse range of skills.
Autonomy refers to the degree to which an employee has control over how they perform their work tasks. If Paola's company employs strict process control, she likely has little choice in how to accomplish her work tasks, which suggests a low level of autonomy.Skill variety refers to the degree to which a job requires a variety of different skills and abilities. Task significance refers to the degree to which a job has a meaningful impact on the lives or work of others. Task identity refers to the degree to which a job involves completing a whole, identifiable piece of work. Feedback refers to the degree to which employees receive clear and direct feedback on the effectiveness of their performance.Based on the information provided, it is not clear whether Paola's job involves high or low levels of skill variety, task significance, task identity, or feedback.
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a client is taking tolcapone for parkinson's disease. what blood test will the nurse perform often on this client?
The nurse will likely perform regular liver function tests on the client taking tolcapone for Parkinson's disease.
These tests measure the levels of certain enzymes and proteins in the blood that indicate how well the liver is working. Elevated levels of these enzymes and proteins can indicate liver damage. It is important to monitor these levels as tolcapone has been known to cause liver damage in some people.
The nurse may also test for creatine kinase levels, which can also be elevated due to tolcapone use. Other tests such as complete blood count, blood urea nitrogen, and creatinine levels may also be performed to monitor for any abnormal changes in the blood that may be caused by tolcapone. Regular monitoring of these tests is necessary to ensure the safety of the client taking tolcapone for Parkinson's disease.
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this entity is responsible for reviewing change requests, reviewing the analysis of the impact of the change, and determining whether the change is approved, denied, or deferred.a. corrective actionsb. defect repairsc. performance correctionsd. preventive actions
The entity is responsible for reviewing change requests and determining their approval, denial, deferral is commonly known as a change control board (CCB).
A CCB is typically comprised of cross-functional team members who are responsible for evaluating the impact of proposed changes on different areas of the organization, including technical, operational, financial, and regulatory considerations.
The CCB's primary responsibility is to ensure that changes are made in a controlled and consistent manner to minimize risks, maintain quality, and support business objectives. The CCB must review all proposed changes and assess their impact before approving or denying them. The CCB must also ensure that proper testing and validation procedures are in place to guarantee the stability and integrity of the organization's systems and processes.
The CCB's role is crucial in ensuring that changes are implemented smoothly and with minimal disruption to business operations. By conducting thorough assessments of change requests and their potential impact, the CCB can provide the necessary guidance and oversight to ensure that changes are executed efficiently and effectively. As such, the CCB is an essential component of any organization's change management framework, and its decisions can have far-reaching consequences for the success of the organization.
The Question was Incomplete, Find the full content below :
This entity is responsible for reviewing change requests, reviewing the analysis of the impact of the change, and determining whether the change is approved, denied, or deferred.
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Fred invests 1200 at a nominal rate of 4.8% compounded monthly. After one year, his balance is X. Jane invests 1200 at a nominal rate of 4.8% compounded annually. After one year, her balance is Y. Sam invests 1200 at a continuous force of interest of 4.8%. After one year, his balance is Z. Which of the following is true?
a. X < Y < Z
b. Z < X < Y
c. Z < Y < X
d. Y < X < Z
e. Y < Z < X
Compound interest is the interest earned on both the principal amount and any previously accumulated interest on a sum of money.
The correct answer is option e. Y < Z < X. The formula for compound interest is:A = P(1 + r/n)^(nt)
Where:
A = final amount
P = principal amount
r = nominal annual interest rate (as a decimal)
n = number of times the interest is compounded per year
t = time (in years)
For Fred:
P = $1200
r = 4.8% = 0.048
n = 12 (monthly compounding)
t = 1
Using the formula, we get:
X = 1200(1 + 0.048/12)^(12*1)
X = $1270.06
For Jane:
P = $1200
r = 4.8% = 0.048
n = 1 (annual compounding)
t = 1
Using the formula, we get:
Y = 1200(1 + 0.048/1)^(1*1)
Y = $1257.60
For Sam:
P = $1200
r = 4.8% = 0.048
n = continuous compounding
t = 1
Using the formula, we get:
Z = 1200e^(0.048*1)
Z = $1258.96
Therefore, the order of balances from lowest to highest is:
Y < Z < X
So the correct answer is option e. Y < Z < X.
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You have $45,589.25 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $280,000. You expect to earn 10% annually on the account. How many years will it take to reach your goal? Do not round intermediate calculations. Round your answer to the nearest whole number.
It will take approximately 19 years (rounded to the nearest whole number) to reach the goal of $280,000 in the account.
How to find the years will it take to reach the goal of $280,000 in a brokerage account with a deposit of $5,000 per year and an interest rate of 10%?We can use the formula for the future value of an annuity to solve this problem:
[tex]FV = PMT x [(1 + r)^n - 1]/r[/tex]
where FV is the future value, PMT is the payment per period, r is the interest rate per period, and n is the number of periods.
In this case, we have:
PMT = $5,000
r = 10% = 0.1
FV = $280,000 - $45,589.25 = $234,410.75
Substituting these values into the formula, we get:
[tex]$234,410.75 =[/tex] [tex]$5,000 x [(1 + 0.1)^n - 1]/0.1[/tex]
Simplifying the equation, we get:
[tex](1.1)^n = 1 + $234,410.75/$5,000 x 0.1[/tex]
[tex](1.1)^n = 48.88215[/tex]
Taking the natural logarithm of both sides, we get:
n ln(1.1) = ln(48.88215)
n = ln(48.88215) / ln(1.1)
n = 18.74
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You find PBB Corp's 2.9% bonds at a price quote of ($)97.3 on the finra.org website. The bond pays semiannually and matures 6 months from now. How many the bond's YTM is _____%.
The bond's Yield To Maturity (YTM) is 3.91%.
To calculate the bond's YTM, we can use the bond pricing formula, which is:
[tex]PV = C / (1+r)^{(1/2)} + C / (1+r)^{(2/2)} + ... + C / (1+r)^{(n-1/2)} + FV / (1+r)^{(n/2)}[/tex]
where PV is the present value, r is the yield to maturity, n is the number of periods to maturity, C is the coupon payment, and FV is the face value of the bond.
Substituting the given values, we get:
[tex]97.3 = 2.9 / (1+r/2)^{(1/2)} + 2.9 / (1+r/2)^{(1)} + 100 / (1+r/2)^{(1)[/tex]
Simplifying the equation, we get:
[tex]0.029 / (1+r/2)^{(1/2)} + 0.029 / (1+r/2) + 100 / (1+r/2) = 97.3[/tex]
Using a financial calculator or a spreadsheet, we can find that the bond's YTM is 3.91%.
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suppose that an insurance agent offers you a policy that will provide you with a yearly income of $40,000 in 30 years. what is the comparable annual salary today, assuming an annual inflation rate of 5% (compounded annually)? (round your answer to the nearest cent.)
The comparable annual salary today, adjusted for inflation, is $3,691.81 rounded to the nearest cent
To calculate the comparable annual earnings today, we want to adjust the future income of $40,000 for inflation using the present value method.
The present value formula for a future payment can be expressed as:
[tex]PV = FV / (1 + r)^n[/tex]
Where:
PV is the present price
FV is the future price
r is the interest fee or discount charge
n is the range of periods
In this example, the future profits is $forty,000 in 30 years, and the annual inflation rate is five% compounded yearly. consequently, we are able to use the present value system with the following values:
FV = $40,000
r = 5%
n = 30
[tex]PV = $40,000 / (1 + 0.05)^{30[/tex]
PV = $40,000 / 10.835
PV = $3,691.81
Therefore, the comparable annual salary today, adjusted for inflation, is $3,691.81.
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gatorade is a well-known drink brand that almost every active person is familiar with, whether you are a professional athlete, hiker, or regular at the gym. the best distribution strategy for this product would be multiple choice intensive. specialized. selective. multichannel. exclusive.
The best distribution strategy for Gatorade would be a multichannel approach to reach a wide range of customers.
The target market for Gatorade comprises physically active people who need energy and hydration while exercising. The ideal strategy for this brand would be a multichannel distribution plan. Reaching as many clients as possible entails using a variety of distribution channels, including supermarkets, convenience shops, vending machines, internet merchants, and direct selling.
Gatorade can easily access its product by employing a multichannel strategy, which is crucial for a company that caters to consumers who need to keep hydrated and energised while on the road.
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what is the maximum value that can be reached using the hhi? group of answer choices 100 1,000 10,000 100,000
The maximum value that can be reached using the HHI is 10,000. This occurs when there is a pure monopoly, and one firm holds 100% of the market share.
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the small-scale movements on the stage, which an actor performs within the larger pattern of entrances and exits, is called managing. blocking. producing. business.
The small-scale movements on stage that an actor performs within the larger pattern of entrances and exits are called a) blocking.
Blocking is the process of planning and rehearsing the movements and positions of actors on stage. It is an essential component of a theatrical production, as it helps to ensure that the actors are positioned correctly for the audience to see and that their movements are coordinated with the larger production.
Blocking also helps to create a visual pattern for the audience to follow, as actors move in and out of the stage area. Managing, producing, and business are all related to theater production but do not refer specifically to the small-scale movements on stage.
Managing may refer to the overall management of a theater company, producing to the process of producing a show, and business to the financial aspects of theater production.So correct answer is option a.
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The technique used to determine which forces could act for a proposed change and which forces could act against it is referred to as ______.
Choose matching definition
diagnosis
survey feedback
force-field analysis
innovation system
The technique used to determine which forces could act for a proposed change and which forces could act against it is referred to as force-field analysis.
Force-field analysis is a powerful decision-making tool that helps individuals and organizations to identify and evaluate the factors that can facilitate or hinder the success of a proposed change.
In force-field analysis, the proposed change is considered as the driving force, and the forces that could support or oppose the change are identified as the restraining forces. The driving forces are those factors that push the organization towards the change, while the restraining forces are those factors that resist the change. By identifying both the driving and restraining forces, an organization can determine the feasibility of the proposed change and develop a plan to overcome the resistance to change.
Force-field analysis is used in many areas of business, including project management, change management, and innovation. It is a valuable tool that helps organizations to make informed decisions by identifying the potential risks and benefits associated with a proposed change. By using force-field analysis, organizations can create a roadmap for change that includes strategies for minimizing the resistance to change and maximizing the driving forces.
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The
annuties formula is used by mortgage bankers to compute the
amortization schedule of a loan (i.e. the schedule of payment of
principal and interest).
true or false
True. The annuity formula is commonly used by mortgage bankers and lenders to calculate the amortization schedule of a loan.
An amortization schedule is a table that breaks down each loan payment into its principal and interest components over the life of the loan. This schedule allows borrowers to understand how much of each payment goes towards paying down the principal balance and how much goes toward paying interest.
The annuity formula is based on the concept of level payments, which means that the borrower makes the same fixed payment amount every period (e.g. every month or every year) until the loan is fully paid off. The formula takes into account the loan amount, interest rate, and loan term to determine the fixed payment amount required to fully repay the loan over its term.
Therefore, it is true that the annuity formula is used by mortgage bankers to compute the amortization schedule of a loan.
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which of the following is the best strategy to make sure people who are participating remotely in a video call are included in the meeting?responsesturn the speaker volume up high so that participants can hear the meeting betterturn the speaker volume up high so that participants can hear the meeting betterturn off the phone microphone to avoid feedbackturn off the phone microphone to avoid feedbackaim the camera at an angle that has a view of everyone present in the room
The best strategy to make sure people who are participating remotely in a video call are included in the meeting is to D) aim the camera at an angle that has a view of everyone present in the room.
Turning up the speaker volume or turning off the phone microphone can create audio problems such as feedback or not being able to hear participants clearly.
On the other hand, aiming the camera at an angle that captures everyone in the room ensures that remote participants can see and hear everyone present, making them feel included and engaged in the meeting. It also allows them to read body language and other nonverbal cues, which can be important in communication.
Overall, ensuring remote participants are included in the meeting helps to promote effective communication and collaboration among all participants and D is correct option.
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the opportunity cost of a purchase is: a. always equal to the selling price of what you purchased. b. the lowest possible price. c. the alternative good or service that one sacrifices because a different good was purchased. d. zero if the item is what you want most. e. always greater for people who are out of work than for people who are working.
The opportunity cost of a purchase is: c. the alternative good or service that one sacrifices because a different good was purchased. This term represents the value of the best alternative option that was not chosen when making a decision.
The opportunity cost of a purchase is the alternative good or service that one sacrifices because a different good was purchased. It is the value of the best alternative foregone. It is important to consider opportunity cost when making a decision as it helps to weigh the benefits and drawbacks of different options. It is not always equal to the selling price of what you purchased, the lowest possible price, zero if the item is what you want most, or always greater for people who are out of work than for people who are working.
Option c is correct.
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the arrival rate at a parking lot is 6 veh/min. vehicles start arriving at 6:00 p.m., and when the queue reaches 36 vehicles, service begins. if company policy is that total vehicle delay should be equal to 500 veh-min, what is the departure rate?
The departure rate in context to the given question is 6.75 veh/min.
the arrival rate is already given in the question, now we need to find the departure rate
Given,
Arrival rate = 6 veh/min
Total vehicle delay = 5000 veh/min
therefore, we need to implement the formula
Total vehicle delay = total number of vehicles in the line x time spend in the line
adding the given values in the given formula
restructuring the formula concerning the departure rate
500 = 36x (1/departure rate - 1/ arrival rate)
500/36 = 1/departure rate - 1/6
departure rate = 36/500 - 1/6
departure rate = 6.75 veh/min
The departure rate in context to the given question is 6.75 veh/min.
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distinguish between common-law liability and statutory liability for auditors. what is the basis for the difference in liability?
A Liability is defined as a unborn loss of profitable benefits that an reality is needed to give to another reality as a result of once deals or other once events.
Common law liability arises from the legal opinions of judges in deciding a case, a precedent that serves as a companion for other judges to decide future analogous cases and is used in civil action.
On the other hand, legal liability reflects laws legislated at the state or civil position and prescribes certain procedures.
May involve civil or felonious liability. Liability is an obligation or liability to another that's extinguished by the unborn transfer or use of goods, the provision of services or any other profitable sale at a specific or determinable time, upon the circumstance of a specific event or on demand.
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the first national bank receives an extra $100 of reserves but decides not to lend out any of these reserves. how much deposit creation takes place for the entire banking system?
No deposit creation occurs if the bank doesn't lend the extra reserves. The deposit creation process requires banks to use excess reserves for lending.
The First National Bank may utilise the additional $100 in reserves to make loans, generating new deposits in the process. However, no new deposits will be created for the whole banking system if the bank decides not to lend any of these reserves.
Banks employ their excess reserves to fund loans, which results in the formation of new deposits. Without lending, there would be no new deposit generation, and the money supply would remain constant.
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On her 18th birthday, Riley deposits $9,000 per year into a retirement account with an estimated 9.5% rate of return. She will stop making deposits after her 61st birthday (i.e., she will make her final deposit on her 61st birthday), and her investment will continue to grow until she retires at age 75. Assuming her deposits occur at the beginning of each year, how much money will Riley have in her retirement account on her 75th birthday?
Riley will have approximately $3,086,367.19 in her retirement account on her 75th birthday.
Based on the given information, Riley will make 44 deposits into her retirement account, starting on her 18th birthday and ending on her 61st birthday. Each deposit is $9,000, so the total amount of money she will deposit into her account is:
44 deposits x $9,000 per deposit = $396,000
Assuming an estimated 9.5% rate of return, her investment will grow each year. To calculate how much money she will have in her retirement account on her 75th birthday, we need to use the formula for the future value of an annuity:
FV = Pmt x (((1 + r)^n - 1) / r)
Where:
- FV is the future value of the annuity
- Pmt is the amount of the regular payments (in this case, $9,000 per year)
- r is the annual interest rate (9.5%)
- n is the number of periods (in this case, 57, since she will make her final deposit on her 61st birthday and retire at age 75)
Plugging in the numbers:
FV = $9,000 x (((1 + 0.095)^57 - 1) / 0.095) = $3,086,367.19
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boards of directors have responded to financial crises, corporate scandals, regulator obligations, and investor requests for structural changes. in the 2011 harvard business review study of the changes in configuration of boards since 1987, which change has been brought about by government legislation? group of answer choices percentage of boards that have an average age of 64 or older has increased. average pay for directors has increased. percentage of boards with 12 or fewer members has increased. percentage of the directors that are independent has increased.
According to the 2011 Harvard Business Review study, the change in configuration of boards that has been brought about by government legislation is the increase in the percentage of directors that are independent.
What's the change in configuration of boardsThe change was likely a response to financial crises and corporate scandals, as regulators and investors called for greater transparency and accountability in corporate governance.
Independent directors are those who do not have any affiliations or relationships with the company or its executives, and are therefore more likely to provide unbiased oversight and hold management accountable.
The increase in independent directors on boards is a positive development for corporate governance, as it helps to ensure that boards are able to effectively oversee the company's strategy, risk management, and financial performance.
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the cost of a firm’s internal common equity is generally higher than the costs of a firm’s external common equity due to issuance costs. (True or False)
True. The cost of a firm's internal common equity is generally higher than the cost of a firm's external common equity due to the issuance costs associated with internal equity, such as the costs of stock option plans, stock purchase plans, and other incentives.
External equity, on the other hand, involves fewer issuance costs since it is generally acquired through public offerings or private placements. The statement is generally true. The cost of a firm's internal common equity, which is the return required by the firm's shareholders on the equity they have invested in the company, is generally higher than the cost of external common equity, which is the return required by new investors in the company's stock. This is because the cost of internal common equity includes not only the cost of the equity capital itself, but also the opportunity cost of retaining earnings rather than distributing them as dividends to shareholders. Additionally, internal common equity may be subject to higher taxes than external equity, further increasing the cost of internal equity financing. On the other hand, external common equity may be subject to issuance costs such as underwriting fees, legal and accounting expenses, and listing fees. However, the magnitude of these costs may vary depending on the size and type of the company and the nature of the external financing used.
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You receive a 3-year $14,000 loan with an interest rate of 13% p.a., to be repaid in three annual installments. The loan requires that you make two equal total payments of $3,000 at t = 1 and t = 2, with the remaining loan balance paid at maturity. What is the total payment amount at t = 3, rounded to the nearest dollar?
The total payment amount at t=3 is $0.
To calculate the total payment amount at t=3, we first need to find the remaining loan balance at the end of t=2.
At t=1, you make two equal total payments of $3,000, so $6,000 is paid off the loan. The interest charged for the first year is 13% of the original loan amount, which is $1,820. Therefore, the remaining loan balance at the end of t=1 is:
$14,000 - $6,000 - $1,820 = $6,180
At t=2, you make two equal total payments of $3,000, so another $6,000 is paid off the loan. The interest charged for the second year is 13% of the remaining loan balance at the end of t=1, which is $801.40. Therefore, the remaining loan balance at the end of t=2 is:
$6,180 - $6,000 - $801.40 = $-621.40
Since the remaining balance is negative, it means that you have overpaid the loan and there is no payment required at t=3.
Therefore, the total payment amount at t=3 is $0.
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A retailer received a written firm offer signed by a supplier. The offer committed the supplier to providing the retailer with up to 10,000 tubes of toothpaste over the next 45 days at $1 a tube. Thirty days later, the supplier informed the retailer that the price per tube of toothpaste would be $1.10. The next day the retailer ordered 6,000 tubes of toothpaste from the supplier, which the supplier promptly shipped. Sixty days after the receipt of the offer, the retailer ordered another 4,000 tubes of toothpaste, which the supplier also promptly shipped.
What price is the supplier permitted to charge the retailer for the toothpaste?
The supplier is permitted to charge the retailer $1 per tube of toothpaste for all 10,000 tubes that were ordered by the retailer within the 45-day time frame of the original offer.
The supplier is permitted to charge the retailer $1 per tube of toothpaste for the first 10,000 tubes. This is because the offer committed the supplier to providing the retailer with up to 10,000 tubes of toothpaste over the next 45 days at $1 a tube, and the retailer ordered a total of 10,000 tubes within that time frame.
However, the supplier is not permitted to charge the retailer $1.10 per tube of toothpaste, as they informed the retailer of this price increase after the retailer had already placed an order for 6,000 tubes at the original price of $1 per tube. Therefore, the supplier must honor the original price of $1 per tube for the remaining 4,000 tubes that the retailer ordered.
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BL Corporation, located in the United States, has an accounts payable obligation of ¥1750 million payable in six months to a bank in Tokyo. The current spot rate is ¥118/$1.00 and the six month forward rate is ¥109/$1.00. The annual interest rate is 3 percent in Japan and 6 percent in the United States. What is the future dollar cost of meeting this obligation using the money market hedge
a. $14,646,802 b. $7,323,401 c. $15,304,332 d. $15,044,936
The future dollar cost of meeting this obligation using the money market hedge is $15,044,936 (D).
To determine the future dollar cost of meeting this obligation using a money market hedge, we can use the following steps:
Calculate the yen amount of the accounts payable obligation: ¥1750 million.
Convert the yen amount to dollars using the current spot rate: $14,830,508 ($1 = ¥118).
Calculate the six-month interest rate differential between the US and Japan:
US rate - Japan rate = 6% - 3% = 3% per annum
Calculate the forward discount on the yen:
Forward discount = (Forward rate - Spot rate) / Spot rate
= (¥109/$1 - ¥118/$1) / ¥118/$1
= -7.63%
Calculate the forward exchange rate that will be used to convert dollars to yen in six months:
Forward rate = Spot rate x (1 + Japan rate x time) / (1 + US rate x time)
= ¥118/$1 x (1 + 3% x 0.5) / (1 + 6% x 0.5)
= ¥109/$1
Determine the amount of yen that can be obtained in six months using a money market hedge:
Yen amount = $14,830,508 / ¥109/$1 = ¥161,932,203
Calculate the future dollar cost of meeting the obligation using the money market hedge:
Future dollar cost = Yen amount x Forward rate
= ¥161,932,203 x ¥109/$1
= $15,044,936.
Therefore, the future dollar cost of meeting this obligation using the money market hedge is $15,044,936 ( D).
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Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 28% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 6%.
Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as follows:
WBills Windex Expected Return Variance 0.6 0.4 0.092 0.0125 Example
0.8 0.2 0.4 0.6 1 0 0 1 0.2 0.8
Using the given historical data and weights, the expected return and variance of the T-bills and S&P 500 index portfolios are:
Expected return: 9.2% for the 0.6 T-bill/0.4 S&P 500 portfolio and 8.4% for the 0.8 T-bill/0.2 S&P 500 portfolio.
Variance: 1.25% for the 0.6 T-bill/0.4 S&P 500 portfolio and 0.36% for the 0.8 T-bill/0.2 S&P 500 portfolio.
To calculate the expected return of each portfolio, we multiply the weight of each asset (T-bills and S&P 500) by its expected return and sum the results. For example, the expected return of the 0.6 T-bill/0.4 S&P 500 portfolio is:
(0.6 x 6%) + (0.4 x (6% + 8%)) = 9.2%
To calculate the variance of each portfolio, we use the formula:
Variance = (w1^2 x σ1^2) + (w2^2 x σ2^2) + 2(w1 x w2 x σ1 x σ2 x ρ)
where w1 and w2 are the weights of the two assets, σ1 and σ2 are their standard deviations, and ρ is the correlation between them (which we assume to be 0 since they are uncorrelated). For example, the variance of the 0.6 T-bill/0.4 S&P 500 portfolio is:
(0.6^2 x 0) + (0.4^2 x 0.28^2) = 0.0125 or 1.25%
The variance of the 0.8 T-bill/0.2 S&P 500 portfolio is:
(0.8^2 x 0) + (0.2^2 x 0.28^2) = 0.0036 or 0.36%
These calculations can help investors make informed decisions about how to allocate their assets between T-bills and the S&P 500 index.
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The demand function for an imported vegetable is QD = 212 – 20P. The supply function is QS = 20 + 4P
The equilibrium price is $12 per unit and the equilibrium quantity is 52 units. This is because at the equilibrium price of $12, the quantity demanded and the quantity supplied is equal to 52 units.
To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the price.
QD = QS
212 - 20P = 20 + 4P
212 - 20P - 4P = 20
192 - 16P = 0
16P = 192
P = 12
So the equilibrium price is $12 per unit.
To find the equilibrium quantity, we substitute the equilibrium price into either the demand or supply equation and solve for the quantity.
QD = 212 - 20P
QD = 212 - 20(12)
QD = 52
Therefore, the equilibrium quantity is 52 units.
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The complete question is:
The demand function for an imported vegetable is QD = 212 - 20P. The supply function is QS = 20 + 4P. What is the equilibrium price and quantity?