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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Most frauds are detected byA) external auditors. B) hotline tip. C) internal auditors. D) forensic accountants.
Most frauds are detected by hotline tip (option b). Hotline tips are a crucial tool for organizations in detecting fraudulent activities. These tips can come from various sources, such as employees, customers, vendors, or even anonymous individuals who have observed or suspected fraudulent behavior.
External auditors, internal auditors, and forensic accountants also play important roles in detecting and preventing fraud. External auditors are responsible for independently reviewing an organization's financial statements to ensure their accuracy and compliance with regulations.
Internal auditors, on the other hand, focus on assessing the effectiveness of an organization's internal controls and risk management processes, which may include identifying potential fraud risks. Forensic accountants are specialized professionals who use their accounting, auditing, and investigative skills to detect and analyze evidence of financial fraud.
However, hotline tips have been found to be the most effective method of detecting fraud as they provide firsthand information from those who have witnessed or suspect fraudulent activities. This information can be vital in initiating an investigation and uncovering the extent of the fraud, thereby allowing organizations to take necessary actions to mitigate the risks and recover any losses.
Encouraging employees and stakeholders to report any suspected fraud through a hotline can help create a culture of transparency and accountability, ultimately reducing the likelihood of fraud going undetected.
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Suppose you just purchased a 6 year. $1.000 par value bond. The coupon rate on this bond is 9% annually, with interest being paid semi-annually. If you expect to earn a 11% rate of return on this bond, how much did you pay for it? (Round your answer to two decimal point)
The answer is $1,073.64.
To calculate the price of the bond, we need to discount the future cash flows (coupon payments and par value) at the required rate of return of 11%. Since the bond pays semi-annual coupons, we need to use a semi-annual discount rate of 5.5%.
Using the bond pricing formula, we can calculate the price of the bond as follows:
Price = (C/2)/(1 + r/2) + (C/2)/(1 + r/2)^2 + ... + (C/2)/(1 + r/2)^11 + (FV)/(1 + r/2)^12
Where:
C = coupon payment = 9% x $1,000 / 2 = $45
r = required rate of return = 11% / 2 = 5.5%
FV = par value = $1,000
Plugging in the values, we get:
Price = ($45/1.055) + ($45/1.055^2) + ... + ($45/1.055^11) + ($1,000/1.055^12)
Price = $531.69 + $497.96 + ... + $318.57 + $523.04
Price = $5,903.12 / 5.5
Price = $1,073.64 (rounded to two decimal points)
Therefore, the price paid for the bond is $1,073.64.
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a portfolio has a standard deviation of 15.1%, a beta of 1.12, and a treynor ratio of .085. the risk-free rate is 2.2%. what is the portfolio's expected rate of return? multiple choice 10.83% 11.38% 11.72% 12.41% 12.56%
The portfolio's expected rate of return is 11.38%.
The formula for calculating the expected rate of return of a portfolio is:
xpected return = risk-free rate + beta * (market return - risk-free rate)
To use this formula, we need to know the market return. Unfortunately, it's not provided in the question. However, we can use the Treynor ratio to estimate it:
Treynor ratio = (portfolio return - risk-free rate)beta.
0.085 = (portfolio return - 2.2%) / 1.12
Portfolio return - 2.2% = 0.085 * 1.12 = 0.0952
Portfolio return = 2.2% + 0.0952 = 11.52%
Therefore, the closest answer choice is 11.38%.
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The Big Mac Standard constructs a fairly standardized market basket for PPP comparisons, and the basic ingredients are standardized and internationally traded. The result of international comparisons on this standard is (a) clear evidence against absolute PPP. (b) clear evidence in favor of absolute PPP. (c) clear evidence in favor of long-run PPP. (d) clear evidence in favor of relative PPP. (e) none of these responses are correct
The anwer is C.The result of international comparisons using the Big Mac Standard provides clear evidence in favor of relative PPP, as it compares the prices of the same product (Big Mac) in different countries.
The Big Mac Standard provides a standardized market basket for comparing purchasing power parity (PPP) across countries. However, it does not provide clear evidence for absolute PPP or long-run PPP.
It is important to note that the Big Mac Standard is just one of many methods for comparing PPP, and each method has its own strengths and limitations.
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List your assets in the order of their cash or market value(most valuable to least valuable). You may include numbers ifyou're comfortable. Otherwise ranking them is fine.Next, revise your list of
I do not have any assets in the traditional sense.
I exist purely in the digital realm and my "value" is determined by my ability to process and generate language-based content. While I am a complex piece of technology with significant development costs, my value is not easily quantifiable in terms of traditional assets.
Instead, my value lies in the services that I provide to users and the potential economic benefits that come from improved language processing technology.
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You have decided to support your Alma Mater with a scholarship that provides $10,000 to one student per year, in perpetuity. Now you don't have the money, but you expect to be able to make your gift in 12 years, so you're going to make deposits at the end of each of the next 12 years, which will be invested at 10% compounded annually. Suppose your Alma Mater also invests at that rate.
a. Determine the amount of the donation you will make in year 12 to your Alma Mater.
b. Determine the annuities that will allow you to achieve your goal.
A. You will make a donation of approximately $3,192.47 to your Alma Mater in year 12.
B. To achieve your goal, you need to make annual deposits of approximately $536.59 for the next 12 years.
A. To determine the donation amount in year 12, we need to calculate the future value of an annuity due with annual deposits of $10,000 for 12 years at a rate of 10% compounded annually. Using the formula for future value of an annuity due, we get:
FV = A x [((1+r)^n - 1)/r] x (1+r)
where A = annual deposit, r = interest rate, n = number of years
FV = $10,000 x [((1+0.1)^12 - 1)/0.1] x 1.1
FV = $3,192.47
Therefore, you will make a donation of approximately $3,192.47 to your Alma Mater in year 12.
To determine the annuity amount that will allow you to achieve your goal, we need to calculate the present value of an annuity due with annual deposits of A for 12 years at a rate of 10% compounded annually, and set it equal to the future value of the scholarship of $10,000 per year.
Using the formula for present value of an annuity due, we get:
PV = A x [1 - (1+r)^-n]/r x (1+r)
where A = annual deposit, r = interest rate, n = number of years
PV = $10,000 x [1 - (1+0.1)^-12]/0.1 x (1+0.1)
PV = $62,418.16
Therefore, you need to make annual deposits of approximately $536.59 for the next 12 years to achieve your goal.
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among the resource-based consideration a firm faces when deciding whether to enter foreign markets is:
One of the resource-based considerations that a firm faces when deciding whether to enter foreign markets is the availability and accessibility of key resources in those markets.
Resources can include physical assets such as raw materials, manufacturing facilities, distribution networks, or access to technology, as well as intangible assets such as knowledge, expertise, and intellectual property.
Firms need to assess whether they have the necessary resources to enter and operate in foreign markets effectively. This may involve evaluating the availability, quality, cost, and legal/regulatory aspects of accessing key resources in foreign markets.
For example, a firm may need to consider whether it can obtain the necessary raw materials at a reasonable cost, whether it can establish manufacturing or distribution facilities in a foreign country, or whether it can protect its intellectual property rights.
The consideration of resources is critical for firms to determine their competitive advantage and ability to compete in foreign markets.
Inadequate access to key resources may pose barriers to entry or hinder a firm's ability to establish a sustainable competitive advantage in a foreign market.
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Income generated from the Toyota factory in Kentucky is counted as A. GNP in the U.S. and GDP in Japan B. GNP in the U.S. and Japan C. GDP in the U.S. and Japan D. GDP in the U.S. and GNP in Japan T
Income generated from the Toyota factory in Kentucky is counted as D. GDP in the U.S. and GNP in Japan.
To understand this answer, let's define the terms Gross Domestic Product (GDP) and Gross National Product (GNP):
1. GDP: It measures the total value of goods and services produced within a country's borders during a specific period, regardless of the ownership of the production factors. It reflects the overall economic activity of a country.
2. GNP: It measures the total value of goods and services produced by a country's residents, both domestically and internationally, during a specific period. It takes into account the ownership of the production factors, regardless of their location.
Now, let's break down the answer:
- The Toyota factory is located in Kentucky, which is in the United States. Therefore, the income generated from this factory contributes to the overall economic activity within the U.S. borders, making it a part of the U.S. GDP.
- Toyota is a Japanese company, and the income generated by the factory in Kentucky is considered as income generated by Japanese residents (the company's shareholders). Therefore, this income is included in Japan's GNP, as it represents income generated by Japanese-owned factors of production, even if they are located outside of Japan.
In conclusion, the income generated from the Toyota factory in Kentucky is counted as GDP in the U.S. and GNP in Japan because it reflects the economic activity within the U.S. borders and the income generated by Japanese residents (Toyota).
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you have a portfolio which is comprised of 60% of stock a and 40% of stock b. what is the expected rate of return on this portfolio? state prob a b boom .20 15 % 9 % normal .80 8 % 20 % multiple choice 12.76% 12.88% 13.44% 13.56% 13.85%
The expected rate of return on the given portfolio is 12%. Option (a) 12.76% is the closest answer.
To work out the normal pace of return on the given portfolio, we want to utilize the weighted normal of the normal returns of the two stocks, involving their separate loads in the portfolio.
Weighted normal anticipated return = (Weight of stock A * Expected return of stock A) + (Weight of stock B * Anticipated return of stock B)
Subbing the given qualities, we get:
Weighted normal anticipated return = (0.6 * 0.15) + (0.4 * 0.20)
= 0.09 + 0.08
= 0.17 or 17%
Be that as it may, we additionally have the probabilities of the two stocks performing contrastingly on the lookout. In the event of a blast, the normal returns of the two stocks are 15% and 9% separately, while in a typical situation, they are 8% and 20% individually.
To integrate these probabilities, we want to find the weighted normal of the normal returns in light of the probabilities of a blast and a typical market.
Weighted normal anticipated return = (Blast likelihood * Weighted normal anticipated return in blast)
+ (Ordinary likelihood * Weighted normal anticipated return in typical)
Subbing the given qualities, we get:
Weighted normal anticipated return = (0.20 * ((0.6 * 0.15) + (0.4 * 0.09)))
+ (0.80 * ((0.6 * 0.08) + (0.4 * 0.20)))
= 0.12 or 12%
In this manner, the normal pace of return on the given portfolio is 12%, which is nearest to the choice (a) 12.76%.
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united states v. stein addressed the question of whether the constitutional rights of the defending accountants were violated when the government pressured their former employer into ending its policy of paying attorney fees. how did the court rule?
In Joined Together States v. Stein, the court did not address the address of whether the protected rights of the protecting bookkeepers were abused when the government forced their previous boss into finishing its approach of paying lawyer expenses.
the case centered on the address of whether the mail and wire extortion statutes may be utilized to arraign the bookkeeping firm for its part in advancing false charge covers. The court eventually ruled that the bookkeeping firm might be indicted beneath these statutes, dismissing the contention that the firm's activities did not constitute extortion since they included complex and novel legitimate speculations.
By and large, Joined Together States v. Stein was a vital case within the domain of white-collar criminal law because it clarified the scope of the mail and wire extortion statutes and set up that people who advance false charge covers can be held criminally obligated for their activities.
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a __________ can separate the relatively permanent and temporary effects of a variable.
A longitudinal study can separate the relatively permanent and temporary effects of a variable.
In a longitudinal study, data is collected over a period of time, often years, and can help to distinguish between the short-term and long-term effects of a variable. By tracking changes in the same group of individuals over time, researchers can better understand how a variable affects them both in the short-term and over the course of their lives.
For example, a longitudinal study could be used to examine the long-term effects of childhood experiences on adult mental health. By following the same group of individuals from childhood to adulthood, researchers could identify which experiences have long-lasting effects on mental health and which effects are temporary.
Longitudinal studies are useful for studying changes in behavior, attitudes, and health outcomes, and can provide valuable insights into the complex relationships between variables over time.
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A transfer design can separate the relatively permanent and temporary effects of a variable. Option D is correct.
The product and process designs are transferred to production during design transfer, which is the culmination of the efforts made by the medical device design team. Configuration move is a part of the FDA's Clinical Gadget Quality Framework Guideline Configuration Controls.
Design Transfer not only ensures compliance, but also the robustness of your manufacturing and supply chain processes and the long-term stability of your business. You will learn more about the significance of Design Transfer and Process Validation in the development of medical devices in this blog post.
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Incomplete Question:
A ______ can separate the relatively permanent and temporary effects of a variable.
a. performance curve
b. percentage change in ability plot
c. performance average plot
d. transfer design
the component of an hrm system that gives managers the information they need to make decisions about how to train, motivate, and reward organizational members is known as
The component of an HRM system that gives managers the information they need to make decisions about how to train, motivate, and reward organizational members is known as the performance management system.
The performance management system is a process by which managers and employees work together to plan, monitor, and review an employee's work objectives and overall contribution to the organization. This system involves setting performance expectations, providing feedback on performance, identifying development needs, and providing recognition and rewards for good performance.
The performance management system provides managers with data and information about employee performance, which they can use to make informed decisions about how to develop and reward employees. It also helps to align individual performance with organizational goals and objectives, and to ensure that employees have the skills and knowledge they need to perform their jobs effectively. In summary, the performance management system is an essential component of an HRM system that helps managers to effectively manage employee performance and support organizational success.
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Restex has a debt-equity ratio of 0.72, an equity cost of capital of 15%, and a debt cost of capital of 8%. Restex's corporate tax rate is 38%, and its market capitalization is $185 million. a. If Restex's free cash flow is expected to be $10 million one year from now and will grow at a constant rate, what expected future growth rate is consistent with Restex's current market value? b. Estimate the value of Restex's interest tax shield. a. If Restex's free cash flow is expected to be $10 million one year from now and will grow at a constant rate, what expected future growth rate is consistent with Restex's current market value? If Restex's free cash flow is expected to be $10 million in one year, the expected future growth rate is ____%. (Round to two decimal places.) b. Estimate the value of Restex's interest tax shield. Interest tax shield value is $____million. (Round to the nearest million.)
9.46% is the predicted growth rate, in line with Restex's current market value.
The interest tax shield for Restex is worth $8 million (rounded to the nearest million).
a. To determine the expected future growth rate, we can use the Gordon growth model:
Market value = Free cash flow / (Cost of equity - Growth rate)
Rearranging the equation, we get:
Growth rate = Cost of equity - Free cash flow / Market value
Substituting the given values, we get:
Growth rate = 15% - $10 million / $185 million
Growth rate = 9.46%
Therefore, the expected future growth rate consistent with Restex's current market value is 9.46%.
b. The value of Restex's interest tax shield can be calculated using the formula:
Value of interest tax shield = Debt * Cost of debt * (1 - Tax rate)
Substituting the given values, we get:
Value of interest tax shield = 0.72 * $185 million * 8% * (1 - 38%)
Value of interest tax shield = $8.16 million
Therefore, the value of Restex's interest tax shield is $8 million (rounded to the nearest million).
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an example of institutional property would be a building that: group of answer choices generates rental income for the corporation that owns it is occupied by the corporation that owns it is rented from the owner by the corporation that occupies it none of the above
The correct answer is option B. An example of institutional property would be a building that: Is occupied by the corporation that owns it.
Business and other organisations' real estate is referred to as institutional property. Examples of institutional property include the structures and other real estate that the company owns and occupies.
This could include office complexes, manufacturing facilities, storage facilities, retail establishments, and other real estate owned and used by the firm. Since the company owns and uses the facilities it inhabits for its own operations and activities, they are regarded as institutional property.
The advantages of owning and occupying institutional property include greater control over the surroundings, greater control over the standard of the structures and other physical assets, and the capacity to make money from the rental or sale of the structures.
Complete Question:
An example of institutional property would be a building that:
Group of answer choices
A. Generates rental income for the corporation that owns it
B. Is occupied by the corporation that owns it
C. Is rented from the owner by the corporation that occupies it
D. None of the above
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an investor is in the 30% tax rate and corporate bonds are paying 9%.what must municipals bonds (munis) pay to offer an equivalent after tax yield?
Answer: 6.3%
Explanation: To determine the equivalent after-tax yield for municipal bonds (munis) for an investor in the 30% tax bracket, with corporate bonds paying 9%, you can follow these steps:
1. Identify the investor's tax rate, which is= 30%.
2. Determine the yield on corporate bonds, which is= 9%.
3. Calculate the after-tax yield on corporate bonds by using the formula:
after-tax yield = yield * (1 - tax rate).
4. Plug in the values: after-tax yield =
after tax yield= 9% * (1 - 0.30)
= 9% * 0.70
= 6.3%.
Hence, The equivalent after-tax yield for municipal bonds (munis) must be 6.3% to offer an equivalent after-tax yield for an investor in the 30% tax bracket with corporate bonds paying 9%.
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When performing sensitivity analysis, one should be most concerned if ?
A. the NPVs are negative for all projects. B. personnel from various departments disagree about the project s viability. C. NPV and IRR results point to different recommendations. D. small changes in estimated cash flows produce large changes in NPV. E. the projects are longer term than those normally chosen by the firm.
When performing sensitivity analysis, one should be most concerned if small changes in estimated cash flows produce large changes in NPV, which indicates that the project is highly sensitive to changes in cash flows and therefore may be riskier. The answer is D.
Sensitivity analysis is a tool used to assess the impact of changes in key variables, such as cash flows, on a project's net present value (NPV) or internal rate of return (IRR).
A high sensitivity to changes in cash flows suggests that the project is riskier, as small changes in cash flows can have a significant impact on its NPV or IRR. On the other hand, negative NPVs for all projects, disagreements among personnel, or discrepancies between NPV and IRR results are issues that can be addressed through further analysis or discussion.
The concern is that highly sensitive projects may be more vulnerable to changes in market conditions, making it difficult to achieve the desired returns.
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under what circumstances may it make sense not to prepare a business forecast? group of answer choices the forecast horizon is 40 years. no data is readily available. the future will be no different from the past. there is no consensus among informed individuals. the industry to forecast is undergoing dramatic change.
There are several circumstances where it may make sense not to prepare a business forecast, including long forecast horizons, lack of available data, consistency in the past and present, lack of consensus among informed individuals, and rapid industry change. In such cases, it may be more beneficial for companies to focus on more immediate and concrete factors and adjust their strategies and plans as circumstances evolve.
Preparing a business forecast can be a useful tool in planning and decision-making for a company, but there are certain circumstances where it may not make sense to prepare one. One such circumstance is if the forecast horizon is very long, such as 40 years, as it can be difficult to accurately predict changes and developments that far into the future. Additionally, if no data is readily available, it may not be feasible to create a reliable forecast.
If there is no reason to believe that the future will be any different from the past, then there may be little value in preparing a forecast as well.Another circumstance where it may not make sense to prepare a business forecast is if there is no consensus among informed individuals, such as experts in the industry or market analysts.
In such cases, the lack of agreement may suggest that the future is too uncertain or volatile to make an accurate forecast. Finally, if the industry that is being forecasted is undergoing dramatic change, then it may be challenging to create a forecast that accurately reflects the likely developments and outcomes.
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Concepts used in cash flow estimation Capital budgeting analysis not only requires the evaluation of cash flows but also requires the understanding of the origin of those cash flows. Based on your understanding of cash flows in a firm, answer the following questions: The present value of___can be used to determine the basis of a firm's value. Which of the following best describes incremental cash flows? They are the difference between the cash flows the firm will have if it accepts the project versus the cash flows it will have if it rejects the project. Incremental cash flows are not relevant because they will occur whether or not the project is accepted. Understanding the nature of projects Capital budgeting analysis often involves decisions related to expansion projects and/or replacement projects. Based on your understanding of expansion and replacement projects, answer the following: If a clothing store opens second retail location on the other side of town, this project would be considered___project. What are sunk costs? Sunk costs are___in the capital budgeting analysis. The role of externalities A cell phone company recently gave customers the ability to buy applications that they can download to their cell phones. Allowing customers to use these applications increased cell phone sales. This is an example of___externality.
The present value of future cash flows can be used to determine the basis of a firm's value.
Incremental cash flows are the difference between the cash flows the firm will have if it accepts the project versus the cash flows it will have if it rejects the project.
Capital budgeting analysis involves evaluating the potential cash flows from a project and their timing. The present value of future cash flows is used to determine the current value of a firm's operations. Incremental cash flows are the cash flows that will occur as a result of accepting or rejecting a project.
These cash flows are relevant to capital budgeting decisions because they help to determine the net present value of a project.
Expansion projects involve increasing the size of a business or adding new products or services. Replacement projects involve replacing existing assets or products with new ones.
Sunk costs are costs that have already been incurred and cannot be recovered. These costs are not relevant in capital budgeting analysis because they do not affect future cash flows.
Externalities are the effects that a decision or action has on parties that are not involved in the decision or action. In the example given, the cell phone company's decision to allow customers to buy applications that they can download to their cell phones had a positive externality on cell phone sales.
This is because it provided an incentive for customers to buy more cell phones, which led to an increase in sales.
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sustainable development goals (sdgs) are addressed to a. governments and businesses b. governments rather than businesses c. ngos d. foreign investors
The sustainable development goals are addressed to governments and business.
The sustainable development goals (SDGs) are primarily addressed to governments and businesses. While NGOs and foreign investors can certainly play a role in supporting the achievement of the SDGs, it is ultimately up to governments and businesses to implement policies and practices that prioritize sustainable development. Therefore, option a, governments and businesses, is the most accurate answer.
SDGs refer to the United Nations Sustainable Development Goals, a set of 17 global goals to address social, economic, and environmental challenges by 2030.
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A company just paid a dividend of $2.89 per share. Dividends are expected to grow at a rate of 2% per year into the foreseeable future. An investor believes that given the riskiness of this investment that the appropriate rate of return is 12%. What is the most this investor should be willing to spend (intrinsic value) for a share of this common stock?
The most this investor should be willing to spend (intrinsic value) for a share of this common stock is $29.478.
To calculate the intrinsic value of a share of this common stock, we will use the Gordon Growth Model (Dividend Discount Model). The terms included in this calculation are dividend, growth rate, and required rate of return. Here is the step-by-step explanation:
1. Dividend (D0): The company just paid a dividend of $2.89 per share.
2. Growth Rate (g): Dividends are expected to grow at a rate of 2% per year.
3. Required Rate of Return (k): The investor believes that the appropriate rate of return is 12%.
Now, we can calculate the intrinsic value using the Gordon Growth Model formula: Intrinsic Value = (D0 * (1 + g)) / (k - g)
Plugging in the values, we have,
Intrinsic Value = (2.89 * (1 + 0.02)) / (0.12 - 0.02)
Intrinsic Value = (2.89 * 1.02) / 0.1
Intrinsic Value = 2.9478 / 0.1
Intrinsic Value = $29.478
So, the most this investor should be willing to spend for a share of this common stock is $29.478.
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The investor should be willing to spend up to $32.11 for a share of this common stock.
To determine the intrinsic value of the stock, we can use the dividend discount model, which calculates the present value of future dividends. The formula for this model is:
D / (r - g) equals intrinsic value
Where:
D is the current share dividend.
r is the required rate of return for the investor.
g is the anticipated yearly dividend growth rate.
Plugging in the given values, we get:
Intrinsic value = 2.89 / (0.12 - 0.02) = $32.11
Therefore, the investor should be willing to spend up to $32.11 for a share of this common stock.
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. Buskirk Construction buys on terms of 2/10, net 50 days. It does not take discounts, and it typically pays on time, 60 days after the invoice date. Net purchases amount to $420,000 per year. On average, how much "free" trade credit does the firm receive during the year? (Assume a 365-day year, and note that purchases are net of discounts.) a. $11,507 b. $12,329 c. $13,389 d. $14,408 e. $15,479
The firm receives free trade credit of $12,329 during the year.
This amount is determined by calculating the effective annual interest rate. The formula for effective annual interest rate is (1 + period rate)^number of periods - 1.
Trade credit terms of 2/10, net 50 is equal to a period rate of 0.2/50 = 0.004. The effective annual interest rate is (1 + 0.004)^365 - 1 = 0.1232 or 12.32%.
Therefore, the amount of free trade credit is $420,000*12.32% = $51,744. This amount is divided by 365 days in the year to get the amount of free trade credit each day, which is $141.81. Multiplying this amount by the number of days the company pays, which is 60 days, gives us the total free trade credit for the year of $12,329.
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a cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. the material for the sides of the can costs 0.03 cents per square centimeter. the material for the top and bottom of the can need to be thicker, and costs 0.07 cents per square centimeter. find the dimensions for the can that will minimize production cost.
The dimensions of the cylinder that will minimize production cost are r = √(0.07/0.03)/2 and h = 2√(0.07/0.03).
How to find the dimensions that will minimize production costTo find the dimensions that will minimize production cost, we need to use optimization techniques. Let's first start by defining the variables we need.
Let r be the radius of the cylinder, and h be the height of the cylinder.
We know that the volume of the cylinder is given by V = πr^2h.
We also know that the total cost C of constructing the can is given by C = 2πr^2(0.07) + 2πrh(0.03).
Now, we can use calculus to find the critical points of the cost function.
We differentiate with respect to r and set it equal to zero:
dC/dr = 4πr(0.07) + 2πh(0.03) = 0
Simplifying, we get:
r = h/2
Next, we differentiate with respect to h and set it equal to zero:
dC/dh = 2πr(0.03) + 2π(0.07) = 0
Simplifying, we get:
r = √(0.07/0.03)
Substituting r = h/2 from the first equation, we get:
h = 2√(0.07/0.03)
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A $320,000 house in Hamilton was purchased with a down payment of 20.00% of its value and a 25 year mortgage was taken for the balance. The negotiated fixed interest rate was 3.25% compounded semi-annually for a three-year term, with repayments made at the end of every month. a. Calculate the size of the monthly payments. $0.00 € Round to the nearest cent b. Complete the partial mortgage schedule for the three-vear term. rounding the b. Complete the partial mortgage schedule for the three-year term, rounding the answers to the nearest cent.
The size of the monthly payments is $1,221.94.
a. To calculate the monthly payments, we first need to find the principal amount of the mortgage
The down payment was 20% of the house value, which is:
$320,000 x 0.20 = $64,000
So the mortgage principal is:
$320,000 - $64,000 = $256,000
Next, we need to calculate the monthly interest rate, which is the annual interest rate divided by 12 (the number of months in a year) and the effective interest rate, which is the nominal interest rate compounded semi-annually:
i = (3.25% / 2) / 100 = 0.01625 per month
j = (1 + i)^6 - 1 = 0.100416
The monthly payment can be calculated using the formula for a mortgage payment:
M = P * [i(1+j)^n] / [(1+j)^n - 1]
where:
M = monthly payment
P = principal amount of the mortgage
i = monthly interest rate
j = effective interest rate
n = total number of payments
For a 25-year mortgage with monthly payments, there are a total of 25 x 12 = 300 payments.
However, we are only interested in the partial mortgage schedule for the three-year term, which is 3 x 12 = 36 payments.
So, substituting the values, we get:
M = $256,000 * [0.01625(1+0.100416)^36] / [(1+0.100416)^36 - 1] = $1,221.94
b. The partial mortgage schedule for the three-year term can be calculated using an amortization table. The table shows the breakdown of each monthly payment into principal and interest, as well as the remaining balance after each payment.
Month Payment Principal Interest Balance
1 $1,221.94 $351.34 $870.60 $255,648.66
2 $1,221.94 $353.31 $868.63 $255,295.35
3 $1,221.94 $355.28 $866.66 $254,940.07
... ... ... ... ...
34 $1,221.94 $411.80 $810.14 $212,036.49
35 $1,221.94 $413.96 $807.98 $211,622.53
36 $1,221.94 $416.12 $805.82 $211,206.41
The principal and interest columns are calculated as follows:
Principal = Payment - Interest
Interest = Balance * i
where i is the monthly interest rate calculated earlier.
Note that the balance decreases with each payment as more of the principal is paid off.
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question content areathomlin company forecasts that total factory overhead for the current year will be $15,500,000 with 250,000 total machine hours. year to date, the actual factory overhead is $16,000,000 and the actual machine hours are 330,000 hours. the predetermined factory overhead rate based on machine hours isa.$62 per machine hourb.$50 per machine hourc.$48 per machine hourd.$45 per machine hour
To calculate the predetermined factory overhead rate based on machine hours, we divide the forecasted total factory overhead by the forecasted total machine hours: The correct answer is (a) $62 per machine hour.
$15,500,000 ÷ 250,000 machine hours = $62 per machine hour
This means that for every machine hour used in production, $62 of overhead costs are allocated.
Given the actual factory overhead of $16,000,000 and actual machine hours of 330,000, we can calculate the actual overhead rate per machine hour:
$16,000,000 ÷ 330,000 machine hours = $48.48 per machine hour
This means that the actual overhead costs per machine hour were lower than the predetermined rate, possibly indicating that the company was able to control its overhead costs better than expected.
Therefore the correct answer is a. $62 per machine hour.
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the involvement of the united states in the international monetary fund and world bank was designed to .
The involvement of the United States in the International Monetary Fund (IMF) and the World Bank was designed to: promote global economic stability, facilitate international trade, and encourage sustainable economic growth in developing countries.
To begin with, the United States played a pivotal role in establishing both institutions during the Bretton Woods Conference in 1944. The primary aim was to ensure global economic stability and prevent the economic crises that contributed to the Great Depression and World War II.
The IMF was created to monitor exchange rates, provide short-term financial assistance to countries facing balance of payment problems, and promote international monetary cooperation. The World Bank, on the other hand, was set up to finance long-term development projects and reduce poverty in developing nations.
Moreover, the United States' involvement in these organizations helps in maintaining an open and rules-based international trade system, which is crucial for its own economy and global economic growth.
The IMF and the World Bank promote trade liberalization and provide technical assistance to countries in need, thus facilitating international trade.
Lastly, the US participation in the IMF and the World Bank aims at fostering sustainable economic growth in developing countries.
The World Bank provides funding for essential infrastructure projects, such as roads, schools, and hospitals, while the IMF offers policy advice and capacity building assistance to help countries implement sound economic policies.
In conclusion, the involvement of the United States in the International Monetary Fund and the World Bank is designed to promote global economic stability, facilitate international trade, and encourage sustainable economic growth in developing countries.
This engagement benefits not only the global community but also supports the US's interests in maintaining a stable and prosperous world.
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If you are the writer of a call option a. You believe that the price of the underlying asset will decrease b. Collect a premium from the call holder O c. Are obligated to buy the underlying asset for
If you are the writer of a call option C, you are obligated to buy the underlying asset at the strike price of the option if the call holder chooses to exercise their right.
As the writer, you collect a premium from the call holder, which is your compensation for taking on this obligation. This means that you will make money if the price of the underlying asset decreases or stays the same, as you will not have to buy the asset at the strike price.
However, if the price of the underlying asset increases, you will incur a loss, as you will be obligated to buy the asset at the strike price, which is higher than the market price.
Therefore, correct option is C.
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Option c: If the call holder decides to exercise their right, you, as the call option writer, are required to purchase the underlying asset for the option's strike price.
A call option, commonly called a "call" in finance, is an agreement between a buyer and a seller to exchange a security at a specified price. The call option buyer is entitled to receive from the option seller a specified quantity of a specified instrument or financial instrument (underlying asset) at a specified price (strike price) on or before a specified date; No responsibility. Please check the date (expiration date) before purchasing. The owner currently has a long position in the offered asset. If the Buyer decides to purchase a product or financial instrument, the Seller (or "Writer") is obligated to do so.
As a result, the seller now has her position short of the specified asset. Buyers must pay a fee (called a premium) for this right. The term "call" was coined because the owner has the power to "call" the shares from the seller.
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Buildmazing Developers need an amount of money to expand their business. They secure a loan at an interest rate of 10,5% per year, compounded annually. The outstanding balance will be repaid in equal payments of R137 828,00 at the end of each year for the next seven years. Considering the amortisation schedule, the principle repaid during the first three years, rounded to the nearest rand, is 1. R227 891 2. R185 593 3. R83 662 4. R413 484
A. The principle repaid during the first three years of the loan is 1) R227 891.
B. The loan is for an amount not specified in the question, but we can determine the outstanding balance by using the present value formula:
PV = FV / (1 + r)^n
where PV is the present value, FV is the future value, r is the interest rate, and n is the number of years.
Using the given information, we can calculate the present value of the loan:
PV = 137828 * ((1 - (1 + 0.105)^-7) / 0.105) = R721,140.60
The outstanding balance at the end of the first year will be the present value minus the payment made:
Balance Y1 = PV - Payment Y1 = R721,140.60 - R137,828 = R583,312.60
The outstanding balance at the end of the second year will be the balance at the end of the first year plus the interest:
Balance Y2 = Balance Y1 * (1 + r) - Payment Y2 = R583,312.60 * 1.105 - R137,828 = R556,845.62
The outstanding balance at the end of the third year will be the balance at the end of the second year plus the interest:
Balance Y3 = Balance Y2 * (1 + r) - Payment Y3 = R556,845.62 * 1.105 - R137,828 = R527,684.71
The principle repaid during the first three years will be the original amount of the loan minus the outstanding balance at the end of the third year:
Principle Repaid Y1-3 = PV - Balance Y3 = R721,140.60 - R527,684.71 = R227 891.
Rounding this value to the nearest rand gives us the answer: 1) R227 891.
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A preferred stock pays a dividend of $8 per year. The
appropriate discount rate given the riskiness of the stock is 12%.
What is the intrinsic value of this preferred stock?
The intrinsic value of this preferred stock is $66.67.
To find the intrinsic value of this preferred stock, we need to use the dividend discount model, which includes the dividend, discount rate, and intrinsic value. Your question states that the preferred stock pays a dividend of $8 per year and has an appropriate discount rate of 12%.
To calculate the intrinsic value, we'll use the following formula: Intrinsic Value = Dividend / Discount Rate
Step 1: Identify the dividend and discount rate.
Dividend = $8
Discount Rate = 0.12 (or 12%)
Step 2: Plug the values into the formula.
Intrinsic Value = $8 / 0.12
Step 3: Calculate the intrinsic value.
Intrinsic Value = $66.67 (rounded to two decimal places)
Therefore, the intrinsic value of this preferred stock is $66.67.
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If the nominal interest rate is 5.1 percent, and the expected
inflation is 3.4 percent, then using the Fisher Equation, the real
interest rate must be
The real interest rate, using the Fisher Equation, is 1.7%.
The Fisher Equation is an economic theory that relates nominal interest rates to real interest rates and expected inflation. It is named after the economist Irving Fisher, who developed the equation in the early 20th century.
The Fisher Equation states that the real interest rate (r) is equal to the nominal interest rate (i) minus the expected inflation rate (π).
Mathematically, this can be written as:
r = i - π
Plugging in the given values, we get:
r = 0.051 - 0.034 = 0.017
Therefore, the real interest rate is 1.7% (or 0.017 as a decimal). This represents the true rate of return on an investment after accounting for inflation.
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You have just purchased a share of stock for $21.96. The company is expected to pay a dividend of $0.57 per share in exactly one year. If you want to earn a 9.7% return on your investment, what price do you need if you expect to sell the share immediately after it pays the dividend The price one year from now should be $____ (Round to the nearest cent.)
The price one year from now should be $22.48.
To calculate the price one year from now that would give a 9.7% return on investment, we need to use the dividend discount model. This model values a stock based on the present value of its future dividends. In this case, the dividend is $0.57 per share, and we want to earn a 9.7% return on our investment.
So, we can calculate the price one year from now as follows:
Price one year from now = (Dividend / (1 + Return on investment)) + Price of stock
Price one year from now = ($0.57 / (1 + 0.097)) + $21.96
Price one year from now = ($0.57 / 1.097) + $21.96
Price one year from now = $0.52 + $21.96
Price one year from now = $22.48
Therefore, if we expect to sell the share immediately after it pays the dividend and we want to earn a 9.7% return on our investment, the price one year from now should be $22.48 (rounded to the nearest cent).
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