Based on the given statements, the true statements are:
1. A project with a positive NPV will recover the original cost of the investment plus sufficient cash inflows to compensate for tying up funds.
2. The net present value method automatically provides for return of the original investment.
1. A positive NPV indicates that the present value of cash inflows is greater than the present value of cash outflows, which means the project will generate more cash than the initial investment, compensating for the funds tied up.
2. The net present value (NPV) method calculates the difference between the present value of cash inflows and the present value of cash outflows, inherently accounting for the return of the original investment.
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Consider a zero-coupon bond with $100 face value and 15 years to maturity. If the YTM is 7%, this bond will trade at a price of ________. Round the answer to the third decimal space.
The price of the zero-coupon bond with $100 face value and 15 years to maturity and with a YTM of 7% is $38.842.
This is calculated by discounting the $100 future value at the YTM for each year. The time value of money principle states that a dollar today is worth more than a dollar tomorrow, since it can be invested and earn a return. Therefore, the present value (or price) of the bond will be lower than its face value.
Using the formula, PV = FV / (1 + YTM)^N, where PV is the present value, FV is the face value of the bond, YTM is the yield to maturity and N is the number of years to maturity. In this case, PV = 100 / (1 + 0.07)^15 = $38.842.
Therefore, the zero-coupon bond with $100 face value and 15 years to maturity and with a YTM of 7% will trade at a price of $38.842.
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You aren't looking for the "sharpest needle in the haystack"; you only want one that is sharp enough to sew with. This is an example of ______
This statement is an example of a "metaphor." It's used to convey the idea that you don't need the absolute best or perfect solution, but rather one that is sufficient for the task at hand. needle that is sharp enough.
The distinction between metaphors and extended metaphors should be understood in this way. A metaphor is a form of speech that alludes to another object while also referring to the first. There are many uses for metaphors, but they are most frequently employed to increase clarity. An elaborate metaphor serves the same purpose. This, however, qualifies as "extended" since it is explored throughout the duration of a complete poem.
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the beatrice manufacturing company increased its merchandise inventory by $28,000 over the year. the company also granted its customers more liberal credit terms which increased the accounts receivable by $54,000. sales were $1,030,000 and the accounts payable decreased by $49,500. the gross profit on sales is 45%. marketing and administrative expenses were $167,000; this included depreciation expense of $26,000. what were the cash disbursements for the year?
The cash disbursements for the year were $865,000.To calculate the cash disbursements for the year, we need to use the following formula:
Cash disbursements = Cost of goods sold + Marketing and administrative expenses - Increase in accounts payable + Decrease in merchandise inventory + Increase in accounts receivable
First, we need to calculate the cost of goods sold using the gross profit percentage:
Gross profit = Sales * Gross profit percentage
$1,030,000 * 45% = $463,500
The cost of goods sold can be calcualted as Sales - Gross profit
$1,030,000 - $463,500 = $566,500
Next, we can calculate the cash disbursements using the formula:
Cash disbursements = $566,500 + $167,000 - (-$49,500) + $28,000 + $54,000
Cash disbursements = $566,500 + $167,000 + $49,500 + $28,000 + $54,000
Cash disbursements = $865,000.Therefore, the cash disbursements were $865,000.
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Although a company's earnings are important in financial statement analysis, with respect to credit evaluations and lending decisions an analysis of its cash flows is:a. required by banking regulationsb. only important if the company has a high debt/equity ratioc. centrald. optional
The correct answer is c. central. While earnings are important in financial statement analysis, an analysis of a company's cash flows is central to credit evaluations and lending decisions.
This is because cash flows reflect the actual cash that a company has on hand to pay its debts, and therefore provide a more accurate picture of its ability to meet financial obligations. Cash flows provide a more accurate picture of a company's liquidity, solvency, and overall financial health, which are crucial factors for lenders to consider. While banking regulations may require a certain level of cash flow analysis, it is generally considered a fundamental aspect of financial statement analysis.
Thus, if a company's earnings are important in financial statement analysis, with respect to credit evaluations and lending decisions an analysis of its cash flows is c. Central.
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in these p-chart examples, which of the following is most accurate? the process is not in control because there are several points that exceed the upper limit line. the process is not in control because the first half of the points are generally below the center line, while the second half are generally above the center line. the process is not in control because the points tend to trend lower from left to right. the process is not in control because several points are less than the lower limit line.
Based on the given p-chart examples, the most accurate statement would be "the process is not in control because there are several points that exceed the upper limit line."
A p-chart is a statistical process control chart used to monitor the proportion of defective items in a sample. The chart plots the proportion of defective items against the sample size over time. The upper and lower control limits are set based on the expected variation in the proportion of defective items.
If there are several points that exceed the upper control limit, it indicates that the proportion of defective items is consistently higher than expected, which could be due to a shift in the process or the presence of a special cause.
This suggests that the process is not in control and needs to be investigated and corrected. The other options are not accurate based on the information given. The first half of the points being below the center line and the second half being above the center line, or the points trending lower from left to right, do not necessarily indicate a problem with the process. Similarly, several points being less than the lower limit line would only be a concern if the proportion of defective items is consistently lower than expected.
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Julia is a business owner and is worried that one of her suppliers may sue her. She has learned that segregated funds provide creditor protection, so she purchases a contract 3 months prior to placing her company into bankruptcy. Will her segregated funds be protected from creditors in this case?
No because she purchased the contract 3 months before placing her company into bankruptcy
Yes, because the assets are in her name and not in the company name
No because segregated funds' assets are held by the insurance company
Yes, as segregated funds provide creditor protection
Julia, as a business owner, is right to be concerned about the possibility of her suppliers suing her. She has learned that segregated funds provide creditor protection and has decided to purchase a contract 3 months prior to placing her company into bankruptcy. However, her decision to purchase the contract 3 months before the bankruptcy may not provide her with the protection she was hoping for.
Generally, segregated funds provide creditor protection as they are separate from the individual's estate and cannot be seized by creditors. However, in cases where the segregated funds were purchased with the intent of defeating creditors, the funds may not be protected. This is because such actions are seen as fraudulent and can result in the funds being seized by creditors.
In this case, Julia's purchase of the segregated fund contract 3 months prior to bankruptcy may be seen as an attempt to defeat creditors, and as such, the funds may not be protected. It is important to note that the exact circumstances of each case will be examined before a final decision is made. Overall, while segregated funds may provide creditor protection, it is important to consult with a financial advisor and ensure that any actions taken are legal and ethical.
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discuss is assigning control of it budgets to user departments an effective mechanism to establish it priorities?
Assigning control of IT budgets to user departments can be an effective mechanism to establish IT priorities. This approach ensures that departments have ownership of their IT spending, which helps to ensure that IT resources are allocated in line with departmental objectives.
By giving departments control over their IT budgets, they are more likely to prioritize investments that will benefit their specific business needs. This can result in better alignment between IT and business strategies, which can lead to improved organizational performance.
Moreover, assigning control of IT budgets to user departments can also lead to greater accountability for IT spending. Departments are more likely to carefully consider their IT spending decisions when they have to justify them to management. This can result in better decision-making and improved overall performance.
However, it's important to note that assigning control of IT budgets to user departments should be done in conjunction with a centralized IT governance framework. This framework should establish clear guidelines for IT spending and provide oversight to ensure that departmental decisions align with organizational objectives.
In summary, assigning control of IT budgets to user departments can be an effective mechanism to establish IT priorities, but it should be done in conjunction with a centralized IT governance framework to ensure alignment with organizational objectives and effective use of resources.
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mc qu. 75 camila manages a used car dealership... camila manages a used car dealership that allows customers to buy cars for no money down and pay in installments throughout the year. her company builds in a bad-debts adjustment that is deducted from the accounts receivable balance to present a more realistic view of the payments likely to be received in the future for these cars. the payments the company expects to receive are called
To provide a more accurate view of future payments, her company incorporates a bad-debts adjustment into the accounts receivable balance.
What is bad-debts adjustmentThis adjustment accounts for the possibility of customers defaulting on their payments, allowing the company to estimate the payments they expect to receive. These expected payments are known as the net realizable value of accounts receivable.
This approach is commonly used in businesses that offer financing options, as it helps to minimize the impact of potential bad debt on the company's financial statements.
By accounting for bad debt in this way, the company can present a more realistic view of its financial position and better manage its cash flow.
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effective social media marketing requires engaging fans by . select one or more: a. listening to fans b. being authentic c. learning from fans
Effective social media marketing requires engaging fans by listening to fans, being authentic, and learning from fans.
By actively listening to what your fans have to say, you can better understand their needs and preferences, and tailor your content to meet those needs. Being authentic helps build trust and credibility with your audience, and shows that you are genuinely interested in their opinions and feedback. Learning from your fans allows you to continually improve your social media strategy, and stay ahead of the curve when it comes to emerging trends and best practices. Overall, engaging your fans through these key practices is essential for success in social media marketing.
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12. Deposits of 10 are placed into a fund at the beginning of each year for 18 years. The effective annual interest rate is 5%. Calculate the present value of the series of payments.
Present value of the series of payments is $122.74 .
Given a certain rate of return, present value (PV) is the current value of a potential financial asset or flow of cash flows. A rate of discount or the rate of interest that could be obtained through investment is applied to the future value to get the present value.
Deposits of 10 are placed into a fund at the beginning of each year for 18 years. The effective annual interest rate is 5%.
Present Value Of An Annuity Due
=C + C*[1-(1+i)⁽⁻⁽ⁿ⁻¹⁾⁾]/i]
Where,
C= Cash Flow per period
i = interest rate per period
n=number of period
= $10+10[ 1-(1+0.05)⁻⁽¹⁸⁻¹⁾ /0.05]
= $10+10[ 1-(1.05)⁻¹⁷ /0.05]
= $10+10[ (0.56370331) ] /0.05
= $122.74
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A steel container weighing 90 pounds has a coefficient of friction equaling 0.61. How much force is required to move this box on a dry and clean surface?
Answer: 54.9 LBS
Explanation: got it right
The government mandate of insurance on all people is ... A. Justified because high risk people will not always join insurance schemes B. Unjustified because it is not the role of the government C. Unjustified because low risk people do not need insurance D. Justified because without it insurance schemes will fail
The government mandate of insurance on all people can be seen as both A. Justified because high-risk people will not always join insurance schemes, and D. Justified because without it, insurance schemes may fail.
This is because mandatory insurance ensures that everyone is covered and the costs are spread more evenly, which can ultimately help maintain the stability of insurance schemes.
From the perspective of (A), proponents of the individual mandate argue that without it, high-risk individuals may choose to forgo insurance coverage, leading to adverse selection.
Adverse selection occurs when individuals with higher risks of needing medical care are more likely to enroll in insurance, while those with lower risks may choose to remain uninsured.
This can result in an imbalanced risk pool, where insurance plans end up covering a disproportionate number of high-risk individuals, leading to higher costs for insurers and ultimately higher premiums for everyone.
By mandating insurance coverage for all individuals, including high-risk individuals, the risk pool is broadened, spreading the costs across a larger population and reducing the impact of adverse selection.
Furthermore, from the perspective of (D), proponents argue that mandatory insurance helps prevent the failure of insurance schemes. Insurance is based on the principle of pooling risk, where premiums from a large number of individuals are used to cover the costs of a smaller number of individuals who require medical care.
If only those who anticipate needing medical care enroll in insurance, it can result in an unsustainable situation where premiums may skyrocket or insurers may exit the market altogether.
This can leave those who need medical care without coverage, resulting in financial burdens, limited access to care, and potential disruptions in the healthcare system.
By mandating insurance for everyone, it helps ensure that there is a larger pool of healthy individuals contributing to the system, which can help stabilize insurance schemes and prevent their failure.
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What is the payback period for the following set of cash
flows?(Can I please get a full step on how to get to the
answer?)
Year
Cash Flow
0
−$ 3,200
1
2,700
2
2,600
3
2,600
4
2,700
The payback period is the length of time it takes for an investment to recoup its initial costs. payback period is 1.18 years.
To calculate the payback period for a set of cashflows, we take the initial investment and divide it by the annual cash flow. For example, in the given set of cashflows, the initial investment is -$3,200, and the annual cash flows for each year are: $2,700, $2,600, $2,600, and $2,700.
We divide the initial investment by the first annual cash flow of $2,700, which gives us a payback period of 1.18 years. This means that it will take 1.18 years for the initial investment to be recouped. The remaining cash flows will then be considered profit.
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based on the university of michigan studies, why would a leader focus on technical aspects of a job if their goal is leadership?
The University of Michigan studies on leadership identified two distinct styles of leadership, namely, task-oriented and relationship-oriented. A leader who is skilled in the technical aspects of their job will be better equipped to guide and mentor their subordinates.
Task-oriented leaders prioritize the technical aspects of a job, while relationship-oriented leaders prioritize building relationships with their subordinates.
While it may seem counterintuitive for a leader who wants to focus on leadership to prioritize technical aspects, there are situations where a task-oriented approach is appropriate. For example, when dealing with a crisis, a leader needs to focus on the technical aspects of resolving the crisis, such as ensuring that the necessary resources are available and that the problem is solved quickly and efficiently.
Moreover, a leader who is skilled in the technical aspects of their job will be better equipped to guide and mentor their subordinates. They will be able to provide guidance and support that is based on their expertise, and they will be able to better understand the challenges that their subordinates face. This, in turn, will enable them to provide more effective leadership.
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the marginal utility from an additional unit of a good is positive when consumption of an extra unit of the good causes disutility. T/F
False. The marginal utility from an additional unit of a good is the additional satisfaction or utility that a consumer obtains from consuming one more unit of the good.
If the consumption of an extra unit of the good increases the total utility from consuming the good, then the marginal utility from the extra unit is positive.
Conversely, if the consumption of an extra unit of the good decreases the total utility from consuming the good, then the marginal utility from the extra unit is negative.
Thus, the marginal utility from an additional unit of a good is not necessarily positive when consumption of an extra unit of the good causes disutility.
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Q2. You have obtained a bullet (interest only) loan for 8,000,000 at 4.875% that is due in 4 years. What is your monthly payment? What will your balloon payment amount be at month 48 (after you have made your regular payment)?
The monthly payment on the 8,000,000 bullet loan at 4.875% due in 4 years is $16,250. The balloon payment amount at month 48 (after making all regular payments) is $8,000,000.
Since this is a bullet loan with interest only payments, the monthly payment can be calculated using the formula:
Monthly Payment = (Loan Amount x Interest Rate) / 12
Plugging in the values, we get:
Monthly Payment = (8,000,000 x 0.04875) / 12 = $16,250 (rounded to the nearest cent)
The balloon payment at the end of the loan term can be calculated as the remaining principal balance on the loan. Since this is a bullet loan, the entire principal amount is due at the end of the term.
Therefore, the balloon payment amount at month 48 (after making all regular payments) is equal to the original loan amount of $8,000,000.
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northern industries has accounts receivable of $42,300, inventory of $61,200, sales of $544,200, and cost of goods sold of $393,500. how many days, on average, does it take the firm to sell its inventory? group of answer choices 93.08 80.46 85.14 56.77 74.92
northern industries has accounts receivable of $42,300, inventory of $61,200, sales of $544,200, and cost of goods sold of $393,500. then, the average number of days it takes Northern s Industries to sell its inventory is approximately 56.77 days. The answer is 56.77.
The formula for calculating the average number of days it takes a firm to sell its inventory is:
Average Days to Sell Inventory = (Inventory / Cost of Goods Sold) x 365
Inventory = $61,200
Cost of Goods Sold = $393,500
Average Days to Sell Inventory = ($61,200 / $393,500) x 365
Average Days to Sell Inventory = 0.1556 x 365
Average Days to Sell Inventory = 56.77 (rounded to two decimal places)
Therefore, the average number of days it takes Northern Industries to sell its inventory is approximately 56.77 days. The answer is 56.77.
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this year, paula and simon (married filing jointly) estimate that their tax liability will be $210,500. last year, their total tax liability was $177,000. they estimate that their tax withholding from their employers will be $183,050. required: are paula and simon required to increase their withholdings or make estimated tax payments this year to avoid the underpayment penalty? by how much, if any, must paula and simon increase their withholding and/or estimated tax payments for the year to avoid underpayment penalties?
Since their tax withholding of $183,050 is greater than 100% of their prior year's tax liability ($177,000), they are not required to increase their withholdings or make estimated tax payments to avoid the underpayment penalty
Estimating tax paymentTheir tax withholding from their employers is estimated to be $183,050.
To avoid the underpayment penalty, they must meet one of the following criteria:
1. Their total withholding and estimated tax payments are at least 90% of their current year's tax liability.
2. Their total withholding and estimated tax payments are at least 100% of their prior year's tax liability.
Let's calculate the minimum amounts required for each criterion:
1. 90% of $210,500 = $189,450
2. 100% of $177,000 = $177,000
Since their current withholding is $183,050, they meet the second criterion and will not face an underpayment penalty.
There is no need for Paula and Simon to increase their withholdings or make estimated tax payments this year to avoid the penalty.
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an employer can access stored e-mail communications of employees using the employer's service. this is granted by the _________.
An employer can access stored e-mail communications of employees using the employer's service. This is granted by the Electronic Communications Privacy Act (ECPA). The ECPA allows employers to monitor their employees' electronic communications if they have a legitimate business reason to do so.
This includes monitoring emails sent and received through company email accounts or using company-provided devices. However, employers must still follow certain guidelines, such as notifying employees of monitoring policies and avoiding unreasonable intrusions on privacy.
It is important for both employers and employees to be aware of their rights and responsibilities when it comes to electronic communications in the workplace.
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shirley borrows $3,605 from second national bank. shirley will repay the loan in five equal payments of $1,000 each beginning at the end of year 1. what is the annual interest rate implicit in this agreement? multiple choice question. 27% 11% 10% 14% 12%
The annual interest rate implicit in this agreement is approximately 10%
the yearly interest price implicit in this agreement may be calculated using the present cost formula for an annuity:
present cost = charge x [(1 - (1 + r)^-n) / r]
wherein:
payment = $1,000
r = annual interest rate
n = wide variety of payments = 5
for the reason that Shirley borrowed $3,605 and will repay in 5 same payments, the prevailing price of the annuity is $3,605. therefore, we are able to set up the equation as:
$3,605 = $1,000 x [(1 - (1 + r)^-5) / r]
solving for r, we get:
r = 10.33%
Therefore, the once a year interest charge implicit on this settlement is about 10%
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Nishi Corporation’s common stock just paid $0.79 dividend recently and dividends are expected to grow at a constant rate for the foreseeable future. The investors’ required rate of return on the stock is 10.89%. If the stock’s current price is $15.62 per share, what is the growth rate projected? Use the Goal Seek to find your answer. Please post pictures of your excel work and solutions. Please give a detailed explanation.
The growth rate projected for Nishi Corporation's common stock is 2.09%.
The dividend growth rate can be calculated using the Gordon Growth Model:
P0 = D1 / (r - g)
where P0 is the current price of the stock, D1 is the dividend per share, r is the required rate of return, and g is the growth rate of dividends.
Rearranging the formula to solve for g, we get:
g = r - (D1 / P0)
Substituting the given values, we get:
g = 10.89% - ($0.79 / $15.62) = 2.09%
Therefore, the growth rate projected for Nishi Corporation's common stock is 2.09%.
Excel screenshot is attached.
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4. (12 points) The product manager for a brand of all-natural herbal shampoo has compiled 15 weeks of data on the weekly sales of the brand (in units), the level of media advertising (in thousands of dollars), the price (in dollars), and the use of displays (in number of stores with the brand on an end-aisle display). She then carried out a multiple regression analysis on these data in order to calculate a price elasticity. Her data and the results of the regression analysis can be seen below.
(a) Name each of the variables that were used in this multiple regression analysis. For each of these variables, indicate whether it was an independent variable or a dependent variable in this regression analysis.
(b) Use these data and the results of the regression analysis to calculate the price elasticity for this shampoo brand. Show your work.
(c) Based on the course material, describe at least two issues that should lead the product manager to not entirely trust the price elasticity calculated from this analysis.
(a) Variables: Independent Variables: Sales, Media Advertising, Price Dependent Variable: Use of Displays
(b) Price Elasticity = -2.841 Price Elasticity = (Change in Quantity Demanded / Change in Price) * (Price / Quantity Demanded)
= (-2.841) * (2.50 / 500) = -0.1136
(c) The price elasticity calculated from the regression analysis should not be entirely trusted for two reasons. First, the sample size of 15 weeks may not be large enough to provide an accurate representation of the overall demand for the shampoo.
Second, the use of displays as the dependent variable may not accurately reflect the demand for the shampoo, as displays may have been placed in stores based on other factors. Thus, the calculated price elasticity may not be an accurate representation of the true demand for the shampoo.
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A CMO has three tranches. Tranche A has a principal of $40.94 million at an annual coupon of 7.69%. Tranche B has a principal of $36.47 million at an annual coupon of 9.43%. Tranche Z has a principal of $33.79 million with an annual coupon of 11.05%. What is the weighted average coupon of the CMO? a. 8.35% b. 8.59% c. 8.82% d. 9.05%e. 9.28%
The weighted average coupon of the CMO is 9.28%. Therefore, the correct answer is E.
1. Calculate the product of each tranche's principal and its respective annual coupon rate.
Tranche A: $40.94 million x 7.69% = $3.145906 million
Tranche B: $36.47 million x 9.43% = $3.438261 million
Tranche Z: $33.79 million x 11.05% = $3.731695 million
2. Add the products from step 1.
$3.145906 + $3.438261 + $3.731695 = $10.315862 million
3. Calculate the sum of the principals for all tranches.
$40.94 + $36.47 + $33.79 = $111.20 million
4. Divide the sum from step 2 by the sum from step 3.
$10.315862 / $111.20 = 0.092759
Convert the result to a percentage by multiplying by 100:
0.092759 x 100 = 9.2759%
Therefore, weighted average coupon of the CMO with three tranches is option E: 9.28%.
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18 HW Asgmt 10 A STRIPS traded on April 30, 2020, matures in 18 years on May 1, 2032. Assuming a yield to maturity of 4.8 percent, what is the STRIPS price? (Use Excel to answer this question, Enter y
The price of the 18-year STRIPS traded on April 30, 2020, with a yield to maturity of 4.8 percent, can be calculated using the Excel PV function
Calculate the price of the 18-year STRIPS that traded on April 30, 2020, and matures on May 1, 2032, with a yield to maturity of 4.8 percent.
Identify the information provided:- Time to maturity: 18 years, Yield to maturity (YTM): 4.8% ,Calculate the present value (price) of the STRIPS using Excel: Use the formula "=PV(rate, nper, pmt, fv)" in an Excel cell,Enter the YTM (rate) as "0.048" (convert the percentage to a decimal),
Enter the time to maturity (nper) as "18",Leave the "pmt" value blank or enter "0" (as there are no periodic payments for STRIPS), Enter the future value (fv) as "1" (assuming a face value of 1).Interpret the result: The Excel cell will display the present value (price) of the STRIPS.
The price of the 18-year STRIPS traded on April 30, 2020, with a yield to maturity of 4.8 percent, can be calculated using the Excel PV function as described above.
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the use of financial incentives to improve productivity is most closely related to which theory of motivation?
The use of financial incentives to improve productivity is most closely related to the reinforcement theory of motivation. This theory suggests that behavior can be strengthened or weakened by the consequences that follow it. In this case, the financial incentive is the consequence that is intended to strengthen the desired behavior of improved productivity.
What is Reinforcement theory of motivation.Reinforcement theory was first recognized in the work of psychologist Ivan Pavlov (behavioral conditioning) and B. F. Skinner (operant conditioning).
Reinforcement theory says that behavior is driven by its consequences. As such, positive behaviors should be rewarded positively. Negative behaviors should not be rewarded or should be punished.
The difficulty in employing this theory is that it is not always easy to determine what types of behavior should be rewarded.
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if the u.s. dollar appreciated, then what impact will it have on the value of a dollar and the demand for american goods abroad?
If the U.S. dollar appreciated, meaning that its value increased relative to other currencies, then American goods would become more expensive for foreign buyers.
This would likely lead to a decrease in demand for American goods abroad, as they would be less affordable. Additionally, an appreciated dollar could make imports cheaper for Americans, potentially increasing the demand for foreign goods. Overall, an appreciation of the U.S. dollar could negatively impact American exports and potentially lead to a trade deficit.
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if you were evaluating a system that sets the values of major currencies based on their demand and supply in world currency markets, it should be described as the _____.
If you were evaluating a system that sets the values of major currencies based on their demand and supply in world currency markets, it should be described as the exchange rate floating system.
In this system, the value of a currency fluctuates according to changes in market forces, namely demand and supply. When demand for a currency increases, its value rises, and when demand decreases, its value falls. The same applies to the supply of the currency.
The floating exchange rate system allows for greater flexibility and adaptability to changing economic conditions. Central banks can intervene to stabilize the exchange rates if needed, but the primary driver is the market forces.
This system contrasts with a fixed exchange rate system, where the value of a currency is pegged to another currency or a basket of currencies.
The floating exchange rate system provides an efficient mechanism for determining the relative value of currencies, enabling global trade and investment to occur more smoothly.
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ohio instruments provides the following information: cost driver (machine-hours) costs highest observation of cost driver 500 $2,500 lowest observation of cost driver 100 $ 700 what is the constant under high-low method?
The constant under the high-low method is $250.
How to calculate the constant under the high-low methodOhio Instruments provides the following information for their cost driver (machine-hours):
the highest observation of the cost driver is 500 machine-hours with a cost of $2,500, while the lowest observation is 100 machine-hours with a cost of $700.
To find the constant under the high-low method, we first need to determine the variable cost per machine-hour.
Variable cost per machine-hour = (Highest cost - Lowest cost) / (Highest machine-hours - Lowest machine-hours) = ($2,500 - $700) / (500 - 100) = $1,800 / 400 = $4.50 per machine-hour.
Next, we can find the constant by using either the highest or lowest observation.
Let's use the lowest observation:
Constant = Total cost - (Variable cost per machine-hour * Machine-hours) = $700 - ($4.50 * 100) = $700 - $450 = $250.
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Suppose trader i has utility function ui(x) = √ x.
There are two financial assets; both cost $100. Trader i is going to buy one of these.
They will both pay off after a short time. • Asset 1 pays $103 for sure. • Asset 2 pays $110 with probability 0.95, and $0 with probability 0.05. Suppose trader j has utility function uj (x) = x 2 .
Will trader i and j buy a same asset? Why?
Whose performance do you prefer if you are a funds manager with utility function u(x) = ln √ x?
As a funds manager, you prefer Trader j's performance due to the higher utility value.
To determine whether trader i and j will buy the same asset, we need to compare the expected utility of each asset for each trader.
For trader i, the expected utility of asset 1 is:
EU(Asset 1) = √103 ≈ 10.15
For asset 2, the expected utility is:
EU(Asset 2) = 0.95√110 + 0.05√0 ≈ 10.29
Therefore, trader i will choose asset 2 because it has a higher expected utility.
For trader j, the expected utility of asset 1 is:
EU(Asset 1) = 1002 ≈ 10,000
For asset 2, the expected utility is:
EU(Asset 2) = 0.95(110)2 + 0.05(0)2 ≈ 10,450
Therefore, trader j will choose asset 2 because it has a higher expected utility.
If you are a funds manager with utility function u(x) = ln √ x, you prefer the trader who has the highest expected utility because that maximizes the overall utility of the investment. In this case, trader j has a higher expected utility for both assets, so you would prefer their performance.
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16. To supplement your retirement in exactly 35 years, you estimate that you need to accumulate $250,000 by your retirement date. You plan to make equal deposits at the end of each of those 35 years into a mutual fund that promises you 10% compounded annually. Determine the amount of the annual deposits.
To accumulate $250,000 in 35 years by making equal annual deposits at the end of each year, with a compound interest rate of 10%, the annual deposit needs to be $1,674.14.
To calculate the annual deposit, we can use the formula for the future value of an annuity:
[tex]FV = PMT \times [(1 + r)^n - 1] / r[/tex]
where FV is the future value, PMT is the payment, r is the interest rate, and n is the number of periods.
In this case, we know that FV = $250,000, r = 10%, and n = 35.
Substituting these values into the formula, we can solve for PMT:
$250,000 = PMT x [(1 + 10%)³⁵ - 1] / 10%
$250,000 = PMT x 137.80
PMT = $250,000 / 137.80
PMT = $1,811.60 (annual payment)
However, this solution assumes that the annual payment is made at the beginning of each year.
Since the problem states that the payment is made at the end of each year, we need to adjust the solution by calculating the present value of an annuity due, which is simply the future value of an ordinary annuity multiplied by (1 + r):
[tex]PV = PMT \times [(1 + r)^n - 1] / r \times (1 + r)[/tex]
Substituting the values we have, we get:
PV = $1,674.14 x [(1 + 10%)³⁵ - 1] / 10% x (1 + 10%)
PV = $1,674.14 x 65.44
PV = $109,491.49
Therefore, the amount of the annual deposits needed to accumulate $250,000 in 35 years is $1,674.14.
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