a. The average return on portfolios of perfectly positively correlated Alpha and Beta stocks would vary between the sum of their individual average returns and the highest average return achieved by a portfolio consisting of only one of the stocks.
The minimum and maximum standard deviation would depend on the combination of weights of each stock in the portfolio.
b. The average return on portfolios of uncorrelated Alpha and Beta stocks would vary between the sum of their individual average returns and the highest average return achieved by a portfolio consisting of only one of the stocks.
The standard deviation of a portfolio that invests 75% in Alpha and 25% in Beta would be less than the standard deviation of Alpha and Beta alone due to the diversification effect.
c. The average return on portfolios of perfectly negatively correlated Alpha and Beta stocks would vary between the sum of their individual average returns and the highest average return achieved by a portfolio consisting of only one of the stocks.
The standard deviation of a portfolio that invests 62.5% in Alpha and 37.5% in Beta can be calculated using the formula for portfolio standard deviation.
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a/an ________ profile can be developed when a person registers on or buys something from a website. a. vertical b. statistical c. identified d. anonymous
The identified profile can then be used for various purposes, such as personalizing the user's experience on the website, sending targeted marketing emails, or offering tailored product recommendations. The correct answer is C.
When a person registers on a website or makes a purchase, they usually provide personal information such as their name, email address, and sometimes even their physical address or phone number. This information allows the website to create an identified profile for that user. Here's a step-by-step explanation of how an identified profile is created:For more such question on user's experience
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Nicole purchased a house for $475,000. She made a downpayment of 25% of the value of the house and received a mortgage for the rest of the amount at 5.50% compounded semi-annually for 20 years. The interest rate was fixed for a 5-year term. a. Calculate the size of the monthly payments. $0.00 E Round to the nearest cent b. Calculate the principal balance at the end of the 5-year term. b. Calculate the principal balance at the end of the 5-year term. $0.00 Round to the nearest cent C. Calculate the size of the monthly payments if after the first 5-year term the mortgage was renewed for another 5-year term at 5.25% compounded semi-annually? $0.00 E Round to the nearest cent
a. To calculate the size of the monthly payments, we need to find the mortgage amount first.
Nicole made a downpayment of 25% of the value of the house, which is:
Downpayment = 25% x $475,000 = $118,750
Therefore, the mortgage amount is:
Mortgage amount = $475,000 - $118,750 = $356,250
The interest rate is 5.50% compounded semi-annually for 20 years. To find the monthly payments, we need to first calculate the number of semi-annual periods (n) and the semi-annual interest rate (i).
n = 20 years x 2 semi-annual periods per year = 40 semi-annual periods
i = 5.50% / 2 = 0.0275 (semi-annual interest rate)
Using the formula for calculating the monthly payments on a mortgage, we get: Monthly payment = (i * P) / (1 - (1 + i)^(-n * 12)), where P is the mortgage amount.
Plugging in the values, we get: Monthly payment = (0.0275 * $356,250) / (1 - (1 + 0.0275)^(-40 * 12))
= $2,085.62
Therefore, the size of the monthly payments is $2,085.62 (rounded to the nearest cent).
b. At the end of the 5-year term, the principal balance can be calculated using the formula for compound interest: P = A / (1 + r/n)^(n*t)
where P is the principal balance, A is the initial amount (mortgage amount), r is the annual interest rate, n is the number of compounding periods per year, and t is the time period in years.
For the first 5-year term, the annual interest rate is 5.50% and the compounding period is semi-annual (n=2). Therefore, r = 5.50% = 0.055 and n = 2
The time period is 5 years, so t=5.
Plugging in the values, we get: P = $356,250 / (1 + 0.055/2)^(2*5)
= $261,219.50
Therefore, the principal balance at the end of the 5-year term is $261,219.50 (rounded to the nearest cent).
c. If the mortgage is renewed for another 5-year term at 5.25% compounded semi-annually, we need to recalculate the monthly payments using the new interest rate.
The new semi-annual interest rate (i) is: i = 5.25% / 2 = 0.02625
The number of semi-annual periods (n) is: n = (20 years - 5 years) x 2 = 30 semi-annual periods
Using the same formula as before, we get:
Monthly payment = (0.02625 * $261,219.50) / (1 - (1 + 0.02625)^(-30 * 12))
= $1,564.92
Therefore, the size of the monthly payments after the first 5-year term is $1,564.92 (rounded to the nearest cent).
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according to hazlitt, what are the differences between loans provided by government agencies and loans provided by private lenders?
Loans provided by government agencies differ from loans provided by private lenders in source of fund, loan purpose, interest rate, loan eligibility and requirements, risk assessment, and loan repayment.
The differences between loans provided by government agencies and private lenders are as follows:1. Source of Funds: Government agencies use public funds (taxpayer money) to provide loans, while private lenders use private capital from individuals or organizations.
2. Loan Purpose: Government agencies often provide loans to support social and economic development, such as infrastructure projects, education, or healthcare. Private lenders, on the other hand, focus on providing loans for profit-making purposes, such as business expansion, investments, or personal consumption.
3. Interest Rates: Government agencies usually offer loans at lower interest rates compared to private lenders. This is because government loans aim to promote social welfare, while private lenders are profit-driven.
4. Loan Eligibility and Requirements: Government loans typically have more stringent eligibility requirements, targeting specific groups or sectors. Private lenders, however, may have more flexible lending criteria, which can result in a broader range of borrowers.
5. Risk Assessment: Government agencies may be more willing to provide loans to high-risk borrowers, while private lenders focus on the creditworthiness of borrowers to minimize risks.
6. Loan Repayment: Government loans might have more flexible repayment terms, such as longer repayment periods or income-based repayment plans. Private loans usually have stricter repayment terms, which can result in higher monthly payments.
In summary, loans provided by government agencies and private lenders differ in terms of their funding sources, purposes, interest rates, eligibility, risk assessment, and repayment terms. Government loans often focus on promoting social welfare and development, while private loans aim to generate profits for the lender.
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QUESTION 4 If you were the CEO of a company and was promised a $10M bonus if net income were to increase by 10% this year. You might:
A. Increase profits by eliminating much of the advertising, reducing expenses, a good long run result for the company and the stockholders B Increase profits by eliminating much of the research and development expenses, a good long run result for the company and stockholders. C. Increase profits by eliminating employee training programa, reducing expenses, a good long run result for the company and stockholders D. You might do a, b, and e, because profits will go up and you will be happy to receive a the bonus E. Hold everything, this reward system is misguided because it encourages reducing expenses now in ways that makes you better off (richer) but have negative impact on the future performance of the company
You might: Hold everything, this reward system is misguided because it encourages reducing expenses now in ways that makes you better off (richer) but have negative impact on the future performance of the company.
So, the correct answer is E.
How to increase net income?As CEO, it is important to focus on long-term growth and sustainability of the company rather than just short-term gains for personal benefit.
By cutting expenses that may impact the company's future success, it could ultimately harm the company and its stakeholders in the long run.
It would be better to explore other ways to increase net income that do not sacrifice the future of the company.
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a fixed set of characteristics we apply to all members of a group is called (a/n)
A fixed set of characteristics we apply to all members of a group is called a "stereotype."
A stereotype is a simplified and generalized belief about the traits and behaviors of a certain group, where the same characteristics are assigned to all members of that group.
A decent arrangement of qualities that we will generally credit to all gathering individuals is known as a generalization. Preconceptions or beliefs about a group of people based on how they are perceived to belong to that group are called stereotypes. Age, gender, race, ethnicity, religion, profession, or social class are just a few of the many characteristics that can serve as the foundation for these beliefs. Both positive and negative stereotypes are frequently oversimplified, exaggerated, or inaccurate. They can be unsafe on the grounds that they can prompt segregation, bias, and inclination against people dependent exclusively upon their gathering enrollment, as opposed to their singular characteristics and activities.
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instead of highly predatory behaviors i marketing channel relationships in the 21st-century, value chain relationships are characterized by:
Value chain relationships are built on a foundation of trust and cooperation. Members of the value chain work together to share information, coordinate activities, and solve problems.
In the 21st century, value chain relationships are characterized by collaborative and cooperative behaviors rather than highly predatory behaviors in marketing channel relationships. Value chain relationships focus on mutual benefit for all parties involved. Value chain relationships are typically long-term, strategic partnerships that focus on creating and sustaining value over time.
Value chain relationships are built on a foundation of trust and cooperation. Members of the value chain work together to share information, coordinate activities, and solve problems. Value chain relationships rely on open communication between all parties involved. This means that information is shared freely and transparently to help ensure that everyone is working toward the same goals.
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Eight years ago Zack& Co. had purchased an equipment fo: $1,200,000. This equipment was being depreciated on a straight line basis over a 12 year period to a 300,000 salvage value. The equipment has six more years of economic life. During this period the annual revenues and operating costs assocaited with this machine are expected to be $388,000 and $87,500, respectively. Zack is now considering replacing this machine with a more modern one. The old equipment can now be sold for $180,000. Investment in net working capital is expected to increase by $132,000 as a result of the investment. The new machine will cost $1,500,000 and another $120,000 will be needed to modify it. This machine falls into the ACRS 5-year class life. It. is also expected to have an economic life of SiX years. The annual revenue and operating costs from the new machine are expected to be $750,000 and $58,000, respectively. At the sixth year Zack expects to sell the nes machine for $180,000. Zack's marginal tax rate is 34%. The equipment will be equity financed. (14 pts.) 1 Please calculate Zack's Net Investment and the Net Cash flows for the next six years if the replacement decision is made.
The net investment for the replacement decision is $1,512,000 and the net cash flows for the next six years are -$186,600, $322,800, $436,000, $386,000, $347,800, and $293,400 respectively.
To calculate the net cash flows for the next six years, we need to calculate the annual depreciation expense for the new machine using the ACRS depreciation method, which is $240,000 for the first year and $360,000 for the second year.
We also need to calculate the tax savings from the depreciation expense, which is $81,600 for the first year and $122,400 for the second year. Then, we can calculate the net operating cash flows for each year by subtracting the operating costs and taxes from the revenues.
Finally, we can calculate the net cash flows for each year by subtracting the net operating cash flows, the investment in net working capital, and the annual loan payments from the tax savings. At the end of the sixth year, we add the salvage value of the new machine and the salvage value of the old machine to get the total net cash flow.
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what comparative advantage does bengaluru (bangalore) have that enables it to attract domestic and foreign high-tech companies?
Bengaluru, also known as Bangalore, has a comparative advantage in the high-tech industry due to its strong technology infrastructure, skilled workforce, and favorable business climate.
The city has a robust ecosystem of research and development institutions, such as the Indian Institute of Science and the Indian Space Research Organization, which attract top talent and support innovation.
Additionally, Bengaluru has a large pool of engineering graduates and IT professionals, making it an attractive location for tech companies to set up operations. The city also offers tax incentives and streamlined regulatory procedures to encourage business growth.
These factors combined make Bengaluru a hub for domestic and foreign high-tech companies seeking to tap into India's growing tech market.
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2. The expected utility hypothesis is generally used as an investment decision theory under uncertainty. Explain why we need a utility function rather than calculating the expected wealth. 3. Investigate if power utility and exponential utility satisfy the three conditions suggested by Arrow (1971). 4. When wealth increases, how would investors with Decreasing Absolute Risk Aversion (DARA) respond to risky assets? Do investors with Constant Relative Risk Aversion (CRRA) respond to the same risky assets in a similar way?
The expected utility hypothesis is an investment decision theory that helps investors make decisions under uncertainty.
2. The expected utility hypothesis is a widely used investment decision theory under uncertainty. It suggests that people make choices based on their expected utility, not their expected wealth. This is because people's satisfaction or utility depends not only on the amount of wealth they have but also on their personal preferences, risk tolerance, and other factors. Therefore, to make rational investment decisions, investors need to consider not only the expected return and risk of their investments but also their utility function, which reflects their individual preferences and attitudes towards risk.
3. Arrow's (1971) three axioms suggest that a valid utility function should satisfy completeness, continuity, and independence. Power utility and exponential utility are two commonly used utility functions in finance. Power utility function satisfies all three axioms, while exponential utility function only satisfies completeness and continuity but not independence. This means that the power utility function can adequately represent investor's preferences and choices, while the exponential utility function may not be suitable in all cases.
4. Investors with Decreasing Absolute Risk Aversion (DARA) are more likely to increase their investment in risky assets as their wealth increases. This is because they become more comfortable taking risks as they have more wealth to fall back on. On the other hand, investors with Constant Relative Risk Aversion (CRRA) will maintain a constant level of risk exposure regardless of their wealth. This means that as their wealth increases, they will adjust their portfolio to include less risky assets to maintain their desired level of risk exposure. Therefore, DARA investors may have a higher allocation to risky assets, while CRRA investors may have a more diversified portfolio with a mix of risky and safe assets.
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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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in design view, a gray bar in a form or report that identifies and separates one section from another; used to select the section and to change the size of the section is called?
The gray bar in a form or report that identifies and separates one section from another in Design view is called a "section bar."
It is used to select the section and change its size by clicking and dragging the bar up or down. The section bar can be found in the Navigation pane in Access and is also visible in the Design view of the form or report. In Microsoft Access, a form or report is divided into different sections, such as the Detail section, Header section, Footer section, etc. Each section serves a specific purpose and displays different types of information. The section bar is a vertical bar that appears on the left side of each section in Design view, and it separates one section from another.
To select a section using the section bar, you can simply click on the bar. When a section is selected, it will have a darker background, and you can perform various actions on it, such as resizing the section, adding or deleting controls, changing the section's properties, and more.
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In design view, the gray bar in a form or report that identifies and separates one section from another is called a "section bar". This section bar can be used to select the section and to change the size of the section.
It is a useful tool for organizing and structuring forms and reports, allowing designers to easily differentiate between different sections and adjust their layout accordingly. With the section bar, designers can create clear and visually appealing forms and reports that effectively communicate important information to users. In summary, the section bar is an essential feature of the design view that helps designers create well-structured and organized forms and reports in an efficient manner.
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define the following: what is the equilibrium price of the concerts. what is the equilibrium quantity of the concerts. what is the optimal price of the concerts. what is the optimal quantity of the concerts. is this a positive or a negative externality ? (single word answer-positive or negative) what is the value of the externality ? (number no dollar signs or decimals) what is the proper action to correct the externality: tax or subsidy (tax or subsidy) what is the value of the corrective tax or subsidy applied to correct the externality ?
Equilibrium price of concerts is the price at which the quantity demanded by consumers equals the quantity supplied by producers. Equilibrium quantity of concerts is the quantity that is bought and sold at the equilibrium price.
Optimal price of concerts is the price that maximizes the profit of concert organizers. Optimal quantity of concerts is the quantity that maximizes the profit of concert organizers. This is a negative externality. The value of the externality is the cost imposed on third parties by the noise and congestion generated by the concerts.
To correct the negative externality, a corrective tax can be imposed on the concert organizers, which would increase their cost and reduce the quantity of concerts they supply.
The value of the corrective tax should be equal to the value of the externality, so that the concert organizers will internalize the cost of the externality and take it into account when deciding how many concerts to organize.
The value of the corrective tax should be equal to the difference between the social cost and the private cost of the concerts, which is the cost imposed on third parties by the noise and congestion generated by the concerts.
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dylan is in default on her mortgage. she decides to hand over the deed to her property rather than face foreclosure proceedings. this is an example of .
Dylan's decision to hand over the deed to her property rather than face foreclosure proceedings is an example of a deed in lieu of foreclosure.
This is a process in which the borrower voluntarily transfers ownership of the property to the lender to satisfy the mortgage debt and avoid foreclosure. By doing so, the borrower avoids the negative consequences of foreclosure, such as damage to their credit score, and the lender can avoid the costs and delays associated with foreclosure proceedings.
Dylan is in default on her mortgage, which means she has failed to meet the required payment obligations. In this situation, she decides to hand over the deed to her property rather than face foreclosure proceedings. This is an example of a "deed in lieu of foreclosure." This is a voluntary agreement between the borrower and the lender, where the borrower transfers ownership of the property to the lender to satisfy the remaining debt and avoid foreclosure.
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The market risk premium for next period is 7.00% and the risk-free rate is 3.00%. Stock Z has a beta of 1.33 and an expected retum of 11.00%. What is the a) Market's reward-to-risk ratio? (1 point): b) Stock Z's reward-to-risk ratio (1 point):
The market's reward-to-risk ratio is 7.00%, and Stock Z's reward-to-risk ratio is approximately 6.02%.
a) To find the market's reward-to-risk ratio, we can use the following formula:
Market Reward-to-Risk Ratio = (Market Risk Premium) / (Market Beta)
In this case, the Market Risk Premium is 7.00%, and the Market Beta is 1 (since it represents the market as a whole). So,
Market Reward-to-Risk Ratio = 7.00% / 1 = 7.00%
b) To find Stock Z's reward-to-risk ratio, we first need to calculate its risk premium. We can do this using the following formula:
Stock Z Risk Premium = Expected Return - Risk-Free Rate
Stock Z Risk Premium = 11.00% - 3.00% = 8.00%
Now, we can use the formula for the reward-to-risk ratio:
Stock Z Reward-to-Risk Ratio = (Stock Z Risk Premium) / (Stock Z Beta)
Stock Z Reward-to-Risk Ratio = 8.00% / 1.33 ≈ 6.02%
So, the market's reward-to-risk ratio is 7.00%, and Stock Z's reward-to-risk ratio is approximately 6.02%.
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martha stewart employs a(n) style of leadership for her lifestyle brand martha stewart living. she makes every decision, no matter how small. martha is able to make quick decisions due to her consistent vision.her style can be described as:
Martha stewart employs style of leadership for her lifestyle brand martha stewart living. Because to crisis management, the company had limited harm. Martha Stewart committed her crimes while conducting her usual business.
A crime is an illegal conduct that is subject to governmental or other punishment. Modern criminal law lacks a clear and widely agreed definition of what constitutes a crime, despite the fact that legislative definitions have been established.
Crime is the deliberate performance of an act that is generally regarded as socially destructive or dangerous and is expressly banned by, and subject to, criminal sanctions.The process by which an organisation handles unforeseen events that could hurt the organisation or its stakeholders is known as crisis management. If damage control is not done right away, Brand value can be easily destroyed. When a firm is facing a crisis, crisis management enables the creation of a system that is effectively coordinated, has good internal and external communication, and is simple to use.
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von bora corporation (vbc) is expected to pay a $2.00 dividend at the end of this year. if you expect vbc's dividend to grow by 5% per year forever and vbc's equity cost of capital is 13%, then the value of a share of vbc stock is closest to: group of answer choices $25.00. $40.00. $15.40. $11.10.
The value of a share of VBC stock is closest to $25.00.
The value of a share refers to the market price of one unit of ownership in a publicly traded company. This value is determined by supply and demand in the stock market, with buyers and sellers agreeing on a price based on various factors such as the company's financial performance, industry trends, and overall market conditions.
Using the constant-growth model, the value of a share of VBC stock can be calculated as follows:
Value of VBC stock = Dividend next year / (Cost of equity - Dividend growth rate)
= $2.00 / (0.13 - 0.05)
= $2.00 / 0.08
= $25.00
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Suppose that one fixed and one variable input arc used to produce good X. As the marginal physical product of the variable input increases, the marginal cost. increases. decreases. remains constant. There is not enough information to answer the question.
When one fixed and one variable input arc are used to produce good X and the marginal physical product of the variable input increases, the marginal cost decreases.
In a production process where one fixed input and one variable input are used to produce good X, the relationship between marginal physical product (MPP) of the variable input and marginal cost (MC) is crucial for understanding the efficiency of production. When the MPP of the variable input increases, the MC of producing good X decreases.
The MPP is the additional output generated by using an extra unit of the variable input, holding other factors constant. When the MPP of the variable input increases, it means that the productivity of the input is improving, and a higher output is generated with each additional unit. This implies that fewer resources are needed to produce each unit of good X, which reduces the cost of production.
On the other hand, MC is the additional cost incurred when producing one more unit of good X. It is inversely related to the MPP because as the MPP increases, the variable input is being used more efficiently, thus reducing the cost per unit produced. Consequently, the MC decreases as the MPP increases.
In summary, when the marginal physical product of the variable input increases, the marginal cost of producing good X decreases. This relationship reflects the improved efficiency and productivity of the variable input in the production process.
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Consider an American Call option with a Strike of $100 and aterm of 6 months at time 0.After 3 months the spot price is 105 and a dividend will be paidamounting to $1. The risk free rate is 5%.Sho uld this option be exercised at time 3 months after time 0?a) Not enough information to answer the questionb) Yesc) Indifferent between early exercise and holding to maturityd) No
Yes, this call option should be exercised at time 3 months after time 0. Therefore, the correct option is B.
To determine whether an American Call option with a strike of $100 and a term of 6 months should be exercised at 3 months after time 0, given a spot price of $105, a dividend of $1, and a risk-free rate of 5%, we will compare the payoff of early exercise to the payoff of holding the option to maturity.
1: Calculate the payoff from early exercise.
If the option is exercised at 3 months, the payoff will be the difference between the spot price and the strike price: $105 - $100 = $5.
Step 2: Calculate the present value of the dividend.
The present value of the $1 dividend can be calculated as: $1 / (1 + 0.05)^0.25 = $0.9877, where 0.25 is the remaining 3 months in terms of years.
Step 3: Adjust the spot price for the dividend.
Since the dividend will be paid, we adjust the spot price: $105 - $0.9877 = $104.0123.
Step 4: Calculate the intrinsic value of the option.
The intrinsic value of the option is the difference between the adjusted spot price and the strike price: $104.0123 - $100 = $4.0123.
Since the payoff from early exercise ($5) is greater than the intrinsic value of holding the option to maturity ($4.0123), the option should be exercised at 3 months after time 0. The answer is (b) Yes.
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Earley Corporation issued perpetual preferred stock with a 10% annual dividend. The stock currently yields 6%, and its par value is $100. Round your answers to the nearest cent. a. What is the stock's value? $ b. Suppose interest rates rise and pull the preferred stock's yield up to 13%. What is its new market value?
a. The stock's value can be calculated as follows:
Dividend payment = 10% * $100 = $10
Yield = 6% = $6
Stock's value = Dividend payment / Yield = $10 / $6 = $166.67
Therefore, the stock's value is $166.67.
b. If the preferred stock's yield rises to 13%, its new market value can be calculated as follows:
Dividend payment = 10% * $100 = $10
Yield = 13% = $13
Stock's value = Dividend payment / Yield = $10 / $13 = $76.92
Therefore, the preferred stock's new market value would be $76.92.
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when we see small changes in the demand for bottled water at several local sheetz convenience stores causing a very large change in demand for bottled water at the regional distribution center that serves those local stores, we are observing . group of answer choices quantity discounts. safety stock. the bullwhip effect.
Bullwhip effect is a common supply chain phenomenon that can cause significant challenges for companies. By understanding the causes of the bullwhip effect, companies can take steps to mitigate its impact and improve their supply chain efficiency.
The phenomenon described in the question is known as the bullwhip effect. It refers to the amplification of small fluctuations in demand as we move upstream in a supply chain.
In other words, small changes in demand at the retail level can result in much larger variations in demand at the wholesale and manufacturing levels. The bullwhip effect can occur due to several factors, including demand forecasting errors, batch ordering, and inventory policies.
In the case of the sheetz convenience stores, the demand for bottled water is likely to be influenced by several local factors such as weather conditions, promotional activities, and consumer preferences. These factors can cause fluctuations in demand that may be difficult to predict accurately. As a result, the local stores may adjust their orders based on their perceptions of future demand, leading to the bullwhip effect.
At the regional distribution center, the impact of these small changes in demand is magnified because the center is responsible for fulfilling orders from multiple local stores. As a result, the center may face difficulty in meeting the fluctuating demand, leading to inventory imbalances and higher costs.
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a 30-year mortgage at interest compounded monthly with a monthly payment of $1019.35 has an unpaid balance of $10,000 after 350 months. find the unpaid balance after 351 months.
The unpaid balance after 351 months is $137125.79. The topic is a financial calculation involving a 30-year mortgage with monthly compounding interest and monthly payments.
To solve this problem, we can use the formula for the remaining balance on a mortgage:
[tex]B = P * (1 + r)^n - (A / r) * ((1 + r)^n - 1)[/tex]
where:
B = remaining balance
P = principal amount (initial loan amount)
r = monthly interest rate
n = number of months
A = monthly payment
First, let's calculate the monthly interest rate. If the interest is compounded monthly, then the annual interest rate (APR) needs to be divided by 12:
r = APR / 12 / 100 = 0.06 / 12 = 0.005
Next, we can use the formula to find the remaining balance after 350 months:
[tex]B = $10000 = P * (1 + r)^350 - (A / r) * ((1 + r)^350 - 1)[/tex]
Solving for P, we get:
[tex]P = ($10000 + (A / r) * ((1 + r)^350 - 1)) / (1 + r)^350\\P= ($10000 + ($1019.35 / 0.005) * ((1 + 0.005)^350 - 1)) / (1 + 0.005)^350[/tex]
P = $137754.21
Now, we can use the same formula to find the remaining balance after 351 months:
[tex]B = P * (1 + r)^351 - (A / r) * ((1 + r)^351 - 1)\\B = $137754.21 * (1 + 0.005)^351 - ($1019.35 / 0.005) * ((1 + 0.005)^351 - 1)[/tex]
B = $137125.79
Therefore, the unpaid balance after 351 months is $137125.79.
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eBook Problem Walk Through Holt Enterprises recently paid a dividend, Do, of $3.50. It expects to have nonconstant growth of 12% for 2 years followed by a constant rate of 6% thereafter . The firm's required return is 10% a. How far away is the horizon date? 1. The terminal, or horizon, date is Year since the value of a common stock is the present value of all future expected dividends at time zero II. The terminal, or horizon, dat is the date when the growth rate becomes nonconstant. This occurs at time zero. 111. The terminal, or hottron, date is the date when the growth rate becomes constant. This occurs at the beginning of Year 2 IV. The terminal, or horizon, date is the date when the growth rate becomes constant. This occurs at the end of your V. The terminal, or horizon, dat is Infinity since common stocks do not have a maturity date Select . What is the firm's horton, of continuino, value? Do not round Intermediate calculations. Round your answer to the nearest $ What is the he's intrinske volion today. Part round intermediate calculations. Round your wwwer to that comest cent
To determine the horizon date, we need to identify when the growth rate becomes constant. We are told that the company will have nonconstant growth of 12% for two years, followed by constant growth of 6%. Therefore, the horizon date is the end of Year 2, when the growth rate becomes constant.
To calculate the horizon value, we need to calculate the dividends for Year 1, Year 2, and all subsequent years. Since the growth rate is nonconstant for the first two years, we need to use the two-stage dividend growth model.
The formula for the two-stage dividend growth model is:
P0 = (D1 / (1 + r)^1) + (D2 / (1 + r)^2) + (D2 * (1 + g2) / (r - g2)) / (1 + r)^2
Where:
P0 = Intrinsic value of the stock today
D1 = Dividend expected in Year 1
D2 = Dividend expected in Year 2
r = Required rate of return
g1 = Growth rate for the first stage (nonconstant growth)
g2 = Growth rate for the second stage (constant growth)
We are given that the current dividend is $3.50, and the growth rate for the first two years is 12%. Therefore:
D1 = $3.50 * (1 + 0.12) = $3.92
D2 = $3.92 * (1 + 0.12) = $4.38
We are also given that the required return is 10%, the growth rate for the second stage is 6%, and the horizon date is the end of Year 2.
Therefore:
r = 10%
g2 = 6%
n = 2
Using these values, we can calculate the horizon, or continuing, value:
Continuing value = D3 * (1 + g2) / (r - g2) = $4.38 * (1 + 0.06) / (0.10 - 0.06) = $139.56
Now we can use the two-stage dividend growth model to calculate the intrinsic value of the stock today:
P0 = (D1 / (1 + r)^1) + (D2 / (1 + r)^2) + (Continuing value / (1 + r)^2)
P0 = ($3.92 / 1.1) + ($4.38 / 1.1^2) + ($139.56 / 1.1^2) = $124.15 (rounded to the nearest dollar)
Therefore, "the intrinsic value of the stock today is $124.00."
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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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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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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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(Nonannual compounding using a calculator?) Jesse Pinkman is thinking about trading cars. He estimates he will still have to borrow ?$31 comma 00031,000 to pay for his new car. How large will? Jesse's monthly car loan payment be if he can get a 55?-year ?(6060 equal monthly? payments) car loan from the? university's credit union at an APR of 5.95.9 percent compounded? monthly? ?Jesse's monthly car loan payment will be ?$nothing. ?(Round to the nearest? cent.)
Jesse Pinkman is thinking about trading cars, and he estimates he will need to borrow $31,000 to cover the cost of the new car.
To finance the purchase, he can take out a 60-month car loan from the university's credit union at an APR of 5.95 percent compounded monthly. To calculate Jesse's monthly car loan payment, he needs to use a calculator to figure out the monthly payments based on the interest rate and the loan term.
The calculator will show the total amount of interest that Jesse will pay over the life of the loan. Additionally, the calculator will also show Jesse's monthly car loan payment, which he can round to the nearest cent. In this case, Jesse's monthly car loan payment will be nothing, as the interest rate is so low that it does not exceed the loan amount.
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which of the following observations is true of futures contracts? group of answer choices contracted through a dealer, usually a bank. customized to meet contracting company's terms and needs. typically no margin deposit required. traded on an exchange and acquired through an exchange broker.
Futures contracts are typically traded on exchanges, such as commodity exchanges or financial exchanges, and are acquired through exchange brokers.
D) Traded on an exchange and acquired through an exchange broker.
They are standardized contracts with terms and specifications set by the exchange. Futures contracts are not customized to meet the terms and needs of the contracting company, and they usually require margin deposits, which are initial deposits made by the parties to cover potential losses. Futures contracts are not typically contracted through a dealer, such as a bank, but rather through exchange brokers who facilitate the trading of these standardized contracts on the exchange.
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greg is paid for the number of hours he works or for the number of units he produces, whichever is higher. which form of compensation does greg receive?
Greg receives a form of compensation that is commonly referred to asvariable pay or performance-based pay.
Under this form of compensation, Greg's pay is based on either the number of hours he works or the number of units he produces, whichever is higher. This means that if Greg produces more units than the number of hours he works, he will receive pay based on the number of units he produces. On the other hand, if he works more hours than the number of units he produces, he will receive pay based on the number of hours he works.
Variable pay is often used in industries where productivity is critical, such as manufacturing, construction, and sales. This form of compensation is designed to motivate employees to work more efficiently and to increase their productivity by rewarding them for their performance.
Overall, the use of variable pay can help organizations to align employee performance with business goals and objectives, which can ultimately lead to increased profitability and success.
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Consider the following example: Assume that Hilary Taylor from New Orleans, Louisiana borrows $2,500 for four years at 7% add-on interest to be repaid in 48 monthly installments.
In the given example, Hilary Taylor from New Orleans, Louisiana has borrowed $2,500 for four years at 7% add-on interest. This means that the interest is added to the principal amount and the borrower pays interest on the entire loan amount.
The loan is to be repaid in 48 monthly installments. It is important to note that the add-on interest rate is higher than the simple interest rate, which is calculated on the remaining principal amount. Therefore, Hilary will pay more interest over the life of the loan than if she had taken a loan with a simple interest rate.
happy to help you with your question. In this example, Hilary Taylor from New Orleans, Louisiana borrows $2,500 for four years with a 7% add-on interest. To calculate the total interest, multiply the loan amount by the interest rate and the loan term: $2,500 x 0.07 x 4 = $700. The total amount to be repaid is the sum of the borrowed amount and the interest: $2,500 + $700 = $3,200. Hilary will repay the loan in 48 monthly installments, so to find the monthly payment, divide the total amount by the number of installments: $3,200 / 48 ≈ $66.67.
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Hilary will have to make monthly payments of $66.67 for the next four years to repay the loan.
In the given example, Hilary Taylor from New Orleans, Louisiana has borrowed $2,500 for four years at 7% add-on interest.
The interest rate of 7% add-on means that the interest will be calculated on the original amount borrowed, and not on the outstanding balance after each payment. The loan is to be repaid in 48 monthly installments, which means that Hilary will have to make 48 equal payments over the course of four years.
To calculate the monthly payment, we first need to calculate the total amount of interest that will be charged over the four-year period. The add-on interest rate of 7% means that the total interest charged will be 7% of the original loan amount, multiplied by the number of years, which is four. Therefore, the total interest charged will be:
$2,500 x 7% x 4 = $700
The total amount that Hilary will have to repay will be the original loan amount plus the total interest charged, which is:
$2,500 + $700 = $3,200
To calculate the monthly payment, we divide the total amount to be repaid by the number of monthly payments:
$3,200 / 48 = $66.67
Therefore, Hilary will have to make monthly payments of $66.67 for the next four years to repay the loan. It is important to note that while the monthly payments may seem manageable, the add-on interest rate of 7% means that Hilary will end up paying significantly more in interest over the course of the loan. It is always important to carefully consider the interest rate and repayment terms of any loan before borrowing.
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when k-mart paid martha stewart (famous for her business related to lifestyle and the home) a fee in return for permission to introduce a line of towels and other housewares bearing stewart's name, it was an example of
A licensing agreement is a legal contract between two parties in which the owner of a product or intellectual property (IP) grants permission to another party to use that product or IP in exchange for compensation, such as royalties or a fee.
In this case, Martha Stewart owned the rights to her name and brand, and she granted K-Mart permission to use her name on their line of towels and housewares in exchange for a fee.
Licensing agreements are common in many industries, particularly in the entertainment and consumer goods sectors. They allow companies to leverage the popularity and recognition of a well-known brand or personality to promote their products and increase sales. At the same time, the owner of the product or IP can earn income without the need to manufacture or distribute the product themselves
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