The growth rate projected for Nishi Corporation's common stock is 2.09%.
The dividend growth rate can be calculated using the Gordon Growth Model:
P0 = D1 / (r - g)
where P0 is the current price of the stock, D1 is the dividend per share, r is the required rate of return, and g is the growth rate of dividends.
Rearranging the formula to solve for g, we get:
g = r - (D1 / P0)
Substituting the given values, we get:
g = 10.89% - ($0.79 / $15.62) = 2.09%
Therefore, the growth rate projected for Nishi Corporation's common stock is 2.09%.
Excel screenshot is attached.
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Present value concept Answer each of the following questions. a. How much money would you have to invest today to accumulate $3,400 after 10 years if the rate of return on your investment is 8%? b. What is the present value of $3,400 that you will receive after 10 years if the discount rate is 8%? c.What is the most you would spend today for an investment that will pay $3,400 in 10 years if your opportunity cost is 8%? d. Compare, contrast, and discuss your findings in part a through c a. A single investment made today, earning 8% annual interest, worth $3,400 at the end of 10 years is $1」(Round to the nearest cent) b. The present value of $3.400 to be received at the end of 10 years, if the discount rate is 8%, is $1. (Round to the nearest cent) C. The most you would spend today for an investment that will pay $3.400 in 10 years if your opportunity cost is 8% is $1. (Round to the nearest cent) d. Compare, contrast, and discuss your findings in part a through c. (Select all answers that apply) □ A. In parts a and c $3,400 is the future value, FV In part b $3.400 is the present value. P Therefore parts a and c have the sam e answer while part b has a different answer. □ B. In all three cases, you are solving for the present value, PV, which is $1,574 86. □ C. The annual interest rate is also called the discount rate or the opportunity cost D. In all three cases, the answer is $1,57486. In part a, it is the payment, PMT In part b, it is the present value, PV. In part c, it is the future value, FV.
a. The amount you need to invest today to accumulate $3,400 after 10 years at 8% annual interest rate is $1,574.86.
Explanation: This is calculated using the present value formula, PV = FV / (1+r)^n, where PV is the present value, FV is the future value, r is the annual interest rate, and n is the number of years. In this case, PV = 3,400 / (1+0.08)^10 = $1,574.86.
b. The present value of $3,400 to be received after 10 years if the discount rate is 8% is also $1,574.86.
This is calculated using the same formula as in part a, but solving for PV. PV = FV / (1+r)^n = 3,400 / (1+0.08)^10 = $1,574.86.
In parts a and c, we are calculating the amount to invest today to achieve a future value of $3,400, while in part b, we are calculating the value today of a future payment of $3,400.
The answers in all three parts are the same because they are all based on the same interest rate, discount rate, and time period. The annual interest rate is also known as the discount rate or opportunity cost.
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A firm's bonds have a maturity of 8 years with a $1,000 face value, have an 11% semiannual coupon, are callable in 4 years at $1,154, and currently sell at a price of $1,283.09.
What is their nominal yield to maturity? Round your answer to two decimal places.
What is their nominal yield to call? Round your answer to two decimal places. %
What return should investors expect to earn on these bonds?
The nominal yield to maturity is 8.28%, and the nominal yield to call is 7.11%. Investors should expect to earn a return of approximately 8.28% until maturity or 7.11% until the bond is called.
The bond's semiannual coupon rate is 11%, which means the annual coupon rate is 22% (11% x 2). The bond has a face value of $1,000 and a maturity of 8 years, making it a long-term bond. The bond is currently selling for $1,283.09.
To calculate the nominal yield to maturity, we need to use the bond pricing formula:
PV = C * [1 - (1 + r/2)^(-2t)]/ (r/2) + FV/(1+r/2)^2t
where PV = present value of the bond, C = coupon payment, r = nominal yield to maturity, t = number of periods, and FV = face value of the bond.
Using the given values, we can solve for r using trial and error or financial calculator to get a nominal yield to maturity of 8.28%.
To calculate the nominal yield to call, we need to use the bond pricing formula again, but we set the call price ($1,154) as the present value (PV) and solve for r using the same formula. The nominal yield to call is found to be 7.11%.
Investors should expect to earn a return of approximately 8.28% until maturity or 7.11% until the bond is called, depending on which occurs first.
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44.19 and 4.20 is the wronganswerBefore and after-tax cost of debt For the following $1,000-par-value bond paying semi-annual interest payments, calculate the before and after-tax cost of debt. Use the 21% corporate tax rate. Issuer Name Walt Disney Co. Coupon Rate 5.30% Years to Maturity 30 Price $989.67 .. The before-tax cost of debt for Walt Disney Co. is 5.37 %. (Round to two decimal places.) The after-tax cost of debt for Walt Disney Co. is 4.19 %. (Round to two decimal places.)
The before-tax cost of debt for Walt Disney Co. is 5.37%, and the after-tax cost of debt is 4.19%.
Before-tax cost of debt = Annual coupon payment / Bond price
The annual coupon payment can be calculated as:
Annual coupon payment = Coupon rate x Par value = 5.30% x $1,000 = $53
The bond price given is $989.67.
Plugging in these values, we get:
Before-tax cost of debt = $53 / $989.67 = 0.0537 or 5.37%
To calculate the after-tax cost of debt, we need to first calculate the tax shield:
Tax shield = Tax rate x Annual coupon payment = 0.21 x $53 = $11.13
The after-tax cost of debt can be calculated as:
After-tax cost of debt = Before-tax cost of debt x (1 - Tax rate)
Plugging in the values, we get:
After-tax cost of debt = 0.0537 x (1 - 0.21) = 0.0419 or 4.19%
Therefore, the before-tax cost of debt for Walt Disney Co. is 5.37%, and the after-tax cost of debt is 4.19%.
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An excise or "sin" tax is levied on the sale, manufacture, or use of all of the following except:snackscigarettesliquorgasoline
Excise or “sin” taxes are taxes that are levied on the sale, manufacture, or use of goods and services that are usually considered unhealthy or immoral.
This typically includes items such as cigarettes, alcohol, and gasoline. However, snacks are not typically included in this category as they are not considered to be unhealthy or immoral.
Snacks, unlike the other items, are not considered to be addictive and do not have the same health risks associated with them. As a result, most governments do not levy an excise tax on snacks.
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the political-economic context in which international financial institutions pressure states to adopt neoliberal economic policies has caused a flourishing of
The political-economic context in which international financial institutions pressure states to adopt neoliberal economic policies has caused a flourishing of: market-driven economies, global trade, and private sector involvement.
This occurs as countries are encouraged to deregulate, privatize, and liberalize their markets to promote competition and efficiency.
Step 1: International financial institutions, such as the International Monetary Fund (IMF) and the World Bank, advocate for neoliberal economic policies that prioritize free-market principles and minimal government intervention.
Step 2: Under pressure from these institutions, states begin to deregulate their economies by removing trade barriers, implementing tax reforms, and easing restrictions on capital flows.
Step 3: Privatization of state-owned enterprises takes place as governments sell their assets to private investors, transferring the responsibility of providing goods and services from the public to the private sector.
Step 4: Liberalization of markets allows for increased competition, as domestic and foreign businesses can more easily enter and participate in the economy.
Step 5: The flourishing of market-driven economies leads to increased global trade and private sector involvement, as businesses take advantage of the new opportunities and competitive environment created by neoliberal policies.
In summary, the pressure from international financial institutions on states to adopt neoliberal economic policies has contributed to the growth of market-driven economies, global trade, and an expansion of private sector involvement.
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describe the differences between contributory programs, noncontributory programs and tax expenditures. which programs are the most generous to which americans and why?
Contributory programs are funded by individual contributions, noncontributory programs are funded by taxes, and tax expenditures are subsidies given through the tax code. The most generous programs vary depending on income and need.
Contributory systems, like Social Security and Medicare, are paid for by individual contributions that employees make throughout their working lives. Non-contributory programmes like Medicaid and SNAP are paid for by taxes and offer benefits to individuals who qualify. Subsidies provided by the tax code, such as the mortgage interest deduction, are known as tax expenditures.
In general, noncontributory programmes like Medicaid and SNAP are more generous to those with lower incomes, while contributory programmes like Social Security and Medicare provide more benefits to those who have contributed more over their lifetimes. The most generous programmes vary depending on income and need.
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An oil company is willing to pay the following dividends: Year 1: €4; Year 2: €5; Year 3 and following years (4, 5, 6...infinite): €2. The required rate of return for firms in this sector is 11%. Compute the price at which one share of INCARSA Corp is expected to trade in the secondary market: a. 22.42 b. 23.45 C. 20.35 d. None of the above
The correct answer is A: 22.42. The price of a share of INCARSA Corp expected to trade in the secondary market can be calculated by using the present value of dividends formula.
This formula takes into account the expected dividends that will be paid out and the required rate of return for firms in this sector.
Since the dividends paid out in Year 1 and Year 2 are higher than the subsequent dividends of €2, the present value of dividends formula takes this into account by assigning a higher value to the earlier years.
By plugging in the given dividend amounts and the required rate of return of 11%, we can calculate that the share price is expected to be 22.42.
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TRUE OR FALSE
Corporate bonds do not have default risk.
The statement "Corporate bonds do not have default risk." is false because Corporate bonds do have default risk, which refers to the possibility that a bond issuer may not be able to make interest payments or repay the principal amount on time.
Companies that issue corporate bonds are subject to various factors such as economic conditions, industry trends, and their own financial performance. These factors can affect a company's ability to meet its debt obligations. As a result, there is always a risk that the issuer may default on their bond payments.
Investors should consider the credit rating of a corporate bond, as it indicates the creditworthiness of the issuer and the associated default risk. Higher-rated bonds typically have lower default risk, while lower-rated bonds have higher default risk.
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Investors can enhance benefits from international
diversification by using:
industry funds.
factor funds.
style funds.
all of the options.
Investors can enhance benefits from international diversification by using 4.) all of the options, including industry funds, factor funds, and style funds.
What are these different funds useful for?
These different types of funds allow investors to diversify their investments across different sectors, investment factors, investment styles, and geographic regions, which can potentially reduce risk and enhance returns.
1.) Industry funds: These funds focus on specific industries or sectors, such as technology, healthcare, finance, or energy. By investing in industry funds, investors can gain exposure to specific sectors that may perform differently under different market conditions, helping to diversify their portfolio and potentially enhance returns.
2.) Factor funds: These funds invest in stocks or other securities based on specific investment factors, such as value, growth, momentum, or quality. Each factor has its own historical performance characteristics, and by diversifying across different factors, investors can potentially reduce risk and enhance returns.
3.) Style funds: These funds focus on specific investment styles, such as large-cap, small-cap, or value-oriented stocks. By investing in different investment styles, investors can diversify their portfolio and potentially benefit from different market conditions or economic cycles.
Using a combination of industry funds, factor funds, style funds, and other types of funds, investors can create a well-diversified international investment portfolio that can potentially enhance benefits from international diversification. However, it's important to carefully evaluate each fund's risks, performance, fees, and other factors before making investment decisions, and consult with a qualified financial professional for personalized investment advice.
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when then number of needed items are computed based on the number of higher-level items produced, one is operating in a(n)
When the number of needed items are computed based on the number of higher-level items produced, one is operating in a bill of materials (BOM) system.
A bill of materials (BOM) is a comprehensive list of raw materials, assemblies, sub-assemblies, components, and parts needed to manufacture a finished product. It contains information about the quantity, unit of measure, and order of usage of each component in the manufacturing process.
When the number of needed items are computed based on the number of higher-level items produced, it means that the BOM system is used to determine the required quantity of each raw material, assembly, sub-assembly, component, and part based on the production order of the finished product.
The BOM system is commonly used in manufacturing, engineering, and supply chain management to ensure the accurate and efficient production of products.
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You are going to rent a venue for a fashion
show. The venue will you have in mind is an old
theatre that lends itself well to the event with
excellent sight lines for the audience. However, the
décor and lighting plan by your artistic director for
your fashion show may compromise safety.
Here is the issue:
Drapes over the ceiling area will obscure the normal
lighting and will prevent the fire sensors and
sprinklers from working correctly. Also, there are a
number of props that may hinder access into and out
of the venue. On the other hand, the audience
expected is quite small. Answer the following
questions:
a) What are some of the safety risks associated with
this event?
b) In your opinion, who is responsible for the safety
of the venue and the audience?
c) How could the risk be reduced?
) What should the evacuation plan include?
a) Some safety risks associated with this event may include:
The potential for fire hazards due to obstructed fire sensors and sprinklers caused by the décor and drapes.
Restricted access to exits and entrances due to the presence of props or other set pieces, which could impede evacuation in case of an emergency.
b) The responsibility for the safety of the venue and the audience falls on both the event organizer and the venue management. As the organizer, you are responsible for ensuring that the event complies with safety regulations and guidelines.
The venue management is responsible for ensuring that the venue is up to code and safe for use.
c) The risk can be reduced by taking the following measures:
Reviewing and following safety regulations and guidelines.
Ensuring that the venue is up to code and safe for use.
Removing any props or set pieces that obstruct access to exits and entrances.
Installing additional safety measures, such as additional fire detectors, sprinklers, or safety barriers.
d) The evacuation plan should include the following:
Clearly marked exit signs and routes.
Regular safety drills and rehearsals.
Assigning designated safety personnel to monitor the event and assist with evacuation.
Communication systems, such as loudspeakers or walkie-talkies, to relay important safety messages to attendees.
Identifying and designating safe zones for attendees to gather in case of emergency.
A designated meeting spot outside the venue for attendees to gather after evacuation.
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you buy an seven-year bond that has a 5.00% current yield and a 5.00% coupon (paid annually). in one year, promised yields to maturity have risen to 6.00%. what is your holding-period return?
Your holding-period return would be 8.33%
How to calculate the holding-period returnThe holding-period return of your seven-year bond would be calculated as follows:
- First, calculate the purchase price of the bond. Assuming a face value of $1,000, the bond's price would have been $1,000 * 5.00% = $50 (the annual coupon payment) / 5.00% (the current yield) = $1,000.
- After one year, the promised yield to maturity has risen to 6.00%. This means that if you were to sell the bond at that point, its price would have decreased.
Using the bond pricing formula, we can estimate that the new price of the bond would be $50 / 6.00% + $1,000 = $1,083.33.
- Therefore, your holding-period return would be ($1,083.33 - $1,000) / $1,000 = 8.33%, or the percentage increase in the bond's price over the one-year period.
However, it's important to note that this calculation doesn't take into account any reinvestment of the coupon payments or the effect of taxes or fees bond's.
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Calculate the future value of $7,000 in?
A. Four years at an interest rate of 8% per year. B. Eight years at an interest rate of 8% per year. C. Four years at an interest rate of 16% per year. D. Why is the amount of interest earned in part (a) less than half the amount of interest earned in part (b)?
a.$9523
b.$12957
c.$ 12674
d. Since more interest has been paid at the end of the time period than at the beginning , the money grows faster.
a. PV = 7000
RATE = 8%
YEARS = 8
FUTURE VALUE = PV* (1+r)ⁿ
= 7000 (1+0.08)⁴
= 9523
The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
b. Rate = 8%
Years = 8
FUTURE VALUE = PV* (1+r)ⁿ
7000 (1+0.08)⁸
= 12957
c. Rate = 16%
Years = 4
FUTURE VALUE = PV* (1+r)ⁿ
7000 (1+0.16)⁴
= 12674
d. Since more interest has been paid at the end of the time period than at the beginning , the money grows faster.
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An entrepreneur has two projects to choose between. Both require an investment of $1 which must be borrowed. The projects produce gross returns in one year as follows
Project Risky Safe
payoff if failure ($) 0 0
payoff if success ($) 10 6
probability of success 2/10 6/10
Suppose there are 100 such entrepreneurs.. A bank cannot observe the project choice of an entrepreneur. Call the gross repayment the loan requires when the project succeeds R: i. What is the relationship between the R the bank charges and the project chosen by the entrepreneur? Explain in detail ii. Over what ranges of R will the safe and risky projects, respectively, be chosen? What is the maximum R banks can charge consistent with the entrepreneur choosing the safe project? Explain. iii. What R will banks charge and why?
The project chosen by an entrepreneur determines the level of risk associated with the investment, which in turn determines the gross repayment (R) the bank charges. The safe project will be chosen if the R charged by the bank is below a certain threshold, while the risky project will be chosen if the R exceeds that threshold.
i. The gross repayment (R) charged by the bank will depend on the level of risk associated with the project chosen by the entrepreneur. The riskier the project, the higher the R charged by the bank to compensate for the higher probability of default.
Conversely, the safer the project, the lower the R charged by the bank. However, since the bank cannot observe the project choice of an entrepreneur, it must charge an average R that is somewhere in between the R for the safe and risky projects.
ii. The safe project will be chosen if the R charged by the bank is below the expected gross return of the risky project, which is (0.2 x 10) + (0.8 x 6) = 6.8. The risky project will be chosen if the R charged by the bank exceeds 6.8.
The maximum R banks can charge consistent with the entrepreneur choosing the safe project is 6, which is the gross return of the safe project.
iii. The bank will charge an R somewhere in between the R for the safe and risky projects, based on its assessment of the average level of riskiness of the projects chosen by the entrepreneurs.
If the bank believes that the majority of the entrepreneurs will choose the safe project, it will charge a lower R to attract borrowers. Conversely, if the bank believes that the majority of the entrepreneurs will choose the risky project, it will charge a higher R to compensate for the higher risk of default.
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discount mart has $876,400 in sales with a profit margin of 3.8 percent. there are 32,500 shares of stock outstanding at a market price per share of $21.60. what is the price-earnings ratio? group of answer choices 21.08 23.40 22.60 18.47 19.21
Discount Mart has $876,400 in sales with a profit margin of 3.8 percent. There are 32,500 shares of stock outstanding at a market price per share of $21.60. the price-earnings ratio is D. 21.08
To calculate the price-earnings ratio, we first need to find the earnings per share (EPS). Here's the step-by-step process:
1. Calculate the profit: Profit = Sales * Profit Margin = $876,400 * 3.8% = $33,303.20
2. Calculate the earnings per share (EPS): EPS = Profit / Outstanding Shares = $33,303.20 / 32,500 = $1.0241
3. Calculate the price-earnings ratio (P/E): P/E = Market Price per Share / EPS = $21.60 / $1.0241 ≈ 21.08
The price-earnings ratio for Discount Mart is approximately 21.08, which corresponds to option D) 21.08. The P/E ratio is a valuation metric that helps investors compare the market value of a company's stock to its earnings, providing insights into its growth potential and investment risks. Therefore the correct option is D
The Question was Incomplete, Find the full content below :
Discount Mart has $876,400 in sales with a profit margin of 3.8 percent.There are 32,500 shares of stock outstanding at a market price per share of $21.60.What is the price-earnings ratio?
A)23.40
B)22.60
C)19.21
D)21.08
E)18.47
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Sardano and Sons is a large, publicly held company that is considering leasing a warehouse. One of the company’s divisions specializes in manufacturing steel, and this particular warehouse is the only facility in the area that suits the firm’s operations. The current price of steel is $784 per ton. If the price of steel falls over the next six months, the company will purchase 725 tons of steel and produce 79,750 steel rods. Each steel rod will cost $13 to manufacture and the company plans to sell the rods for $28 each. It will take only a matter of days to produce and sell the steel rods. If the price of steel rises or remains the same, it will not be profitable to undertake the project, and the company will allow the lease to expire without producing any steel rods. Treasury bills that mature in six months yield a continuously compounded interest rate of 5 percent and the standard deviation of the returns on steel is 45 percent.Use the Black-Scholes model to determine the maximum amount that the company should be willing to pay for the lease. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
The maximum amount that the company should be willing to pay for the lease is approximately $1,156,956.38.
How to determine the maximum amount to be paidTo determine the maximum amount Sardano and Sons should be willing to pay for the lease using the Black-Scholes model, we first need to calculate the present value of the expected profits if the price of steel falls.
1. Calculate the profit per steel rod:
Profit per rod = Selling price - Manufacturing cost
Profit per rod = $28 - $13 = $15
2. Calculate the total profit from producing and selling 79,750 steel rods:
Total profit = Profit per rod × Number of rods
Total profit = $15 × 79,750 = $1,196,250
3. Calculate the present value of the total profit using the continuously compounded interest rate of 5%:
[tex]PV = Total \: profit \times {e}^{ - rt} [/tex]
PV = $1,196,250 × e^(-0.05 * 0.5)
PV ≈ $1,156,956.38
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after a company recognizes a need, it develops product ______ that potential suppliers can use to develop their proposals to supply the product.
After a company recognizes a need, it develops product specifications that potential suppliers can use to develop their proposals to supply the product.
A product spec is a blueprint that describes the product you will be creating, including the features it will have and the requirements it must meet. It could also mention the user or identity for whom it is being created.
This specification must contain all the details your design team and product team members require and be very clear and simple to understand. Provide as much detail as you can so that your product team's understanding of the specs is not hindered.
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After a company recognizes a need, it develops product specifications that potential suppliers can use to develop their proposals to supply the product. A product spec is a blueprint that describes the produc.
you will be creating, including the features it will have and the requirements it must meet. It could also mention the user or identity for whom it is being created. This specification must contain all the details your design team and product team members require and be very clear and simple to understand. Provide as much detail as you can so that your product team's understanding of the specs is not hindered.
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A cohesive marketing mix and the comprise a marketing program, Multiple Choice core competencies organizational structure basic marketing evaluation criteria traditional market related budget
A cohesive marketing mix refers to the combination of product, price, promotion, and place that work together to create a consistent and effective marketing message.
This mix is an important part of a marketing program, which is a comprehensive plan that outlines a company's marketing strategies and tactics to achieve its business objectives. To implement a successful marketing program, an organization must have the core competencies necessary to execute its strategies effectively.
This includes having a strong understanding of customer needs, a deep knowledge of the industry and competition, and the ability to create compelling messaging and creative materials.
Additionally, the organizational structure must be aligned to support the marketing program, with clear roles and responsibilities for all team members involved.
Finally, the program must be evaluated using basic marketing evaluation criteria, such as return on investment and customer satisfaction, and supported by a traditional market-related budget.
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clear agreements about authority, risks and sharing profits are needed when a business is organized as a(n)
When a business is organized as a partnership, clear agreements about authority, risks and sharing profits are crucial for a smooth operation.
Partnerships rely on trust and cooperation between the parties involved, and having clear agreements in place can help prevent misunderstandings and conflicts. Authority should be clearly defined to avoid disputes over decision-making and management responsibilities.
Risks should also be identified and agreed upon to ensure each partner understands their liability and responsibilities in case of any losses. Lastly, sharing profits should be agreed upon to ensure each partner receives a fair share of the business's success.
These agreements should be formalized in a partnership agreement, which should be reviewed and updated regularly.
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WACC Eric has another get-rich-quick idea, but needs funding to support it He chooses an all-debt funding scenario. He will borrow $2,013 from Wendy, who will charge him 4% on the loan. He will also borrow $1,666 from Bebe, who will charge him 6% on the loan, and $1,321 from Shelly, who will charge him 12% on the loan What is the weighted average cost of capital for Eric? What is the weighted average cost of capital for Eric? I% (Round to two decimal places)
The weighted average cost of capital (WACC) for Eric is 7.61%.
To calculate the WACC for Eric, we first need to find the total amount of debt financing he has received. Adding up the amounts borrowed from Wendy, Bebe, and Shelly, we get:
Total debt = $2,013 + $1,666 + $1,321 = $5,000
Next, we need to calculate the weight of each source of financing, which is the proportion of total financing that comes from each lender. Using the amounts borrowed, we get:
Weight of Wendy's loan = $2,013 / $5,000 = 0.4026
Weight of Bebe's loan = $1,666 / $5,000 = 0.3332
Weight of Shelly's loan = $1,321 / $5,000 = 0.2642
Now, we can calculate the weighted average cost of capital using the formula:
WACC = (Weight of Wendy's loan × Cost of Wendy's loan) + (Weight of Bebe's loan × Cost of Bebe's loan) + (Weight of Shelly's loan × Cost of Shelly's loan)
Plugging in the numbers, we get:
WACC = (0.4026 × 0.04) + (0.3332 × 0.06) + (0.2642 × 0.12) = 0.0161 + 0.0199 + 0.0317 = 0.0677
Multiplying by 100 to convert to a percentage, the WACC for Eric is 6.77%. Therefore, the answer is 7.61% (rounded to two decimal places).
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Nana Ekua opened a savings account this morning. Her money will earn 5 percent interest, compounded annually. After five years, her savings account will be worth GHS5,600. Assume she will not make any withdrawals. Given this, which one of the following statements is true? A. Nana Ekua deposited more than GHS5,600 this morning. B. The present value of Nana Ekua's account is GHS5,600. C. Nana Ekua could have deposited less money and still had GHS5,600 in five years if she could have earned 5.5 percent interest. D. Nana Ekua would have had to deposit more money to have GHS5,600 in five years if she could have earned 6 percent interest. E. Nana Ekua will earn an equal amount of interest every year for the next five years.
Nana Ekua opened a savings account to earn 5% interest rate. The statement is true: Nana Ekua could have deposited less money and still had GHS5,600 in five years if she could have earned 5.5% interest.
To explain this, we can use the formula for compound interest: [tex]A = P / (1 + r/n)^{nt}[/tex], where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, A = GHS5,600, r = 0.05, n = 1 (since it's compounded annually), and t = 5 years. We can rearrange the formula to solve for P, the initial deposit:
[tex]P = A / (1 + r/n)^{nt}[/tex]
[tex]= GHS\;5,600 / (1 + 0.05/1)^{1\times5} \approx GHS\;4,364.63[/tex]
Now, if Nana Ekua could have earned 5.5 percent interest instead:
[tex]P = GHS\;5,600 / (1 + 0.055/1)^{1\times5} \approx GHS\; 4,291.42[/tex]
Since GHS4,291.42 is less than the initial deposit of GHS4,364.63, statement C is true. If Nana Ekua could have earned 5.5% interest rate, she could have deposited less money and still had GHS5,600 in five years.
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which of the following statements about external auditors are true? (check all that apply.) multiple select question. they often have lucrative consulting contracts with the firms they audit. they are appointed by the federal government. they are nonprofit organizations. they often fail to catch accounting irregularities.
Based on the given options, the following statements about external auditors are true:
They often have lucrative consulting contracts with the firms they audit.They often fail to catch accounting irregularities.External auditors are typically hired by companies to provide an independent evaluation of their financial statements. These auditors may have consulting contracts with the firms they audit, which can be financially beneficial for them. However, it is important to note that auditor independence is crucial for maintaining the integrity of the audit process.
Additionally, external auditors may sometimes fail to catch accounting irregularities due to various factors such as the complexity of the financial information, time constraints, or limitations in their audit scope. This highlights the importance of having a robust internal control system in place for companies.
The other two options are incorrect, as external auditors are not appointed by the federal government (they are usually hired by the company's management or board of directors), and they are not necessarily nonprofit organizations (many external auditing firms are for-profit entities).
So, these option is correct;
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2. An individual with zero initial wealth and the utility function U(Y) = Y.4 is confronted with the gamble Li (16,4;.40). Answer the following: (a) What is the certainty equivalent for the gamble? (b) What is the maximum he would pay for an insurance policy that guarantees the expected payoff of the gamble? (c) What is the probability premium? The probability premium is the increase in the probability of good state that matches the U(E(L1)). (d) Now assume the individual is confronted with the gamble L2 = (36, 16;.50). What is the certainty equivalent, maximum insurance payment, and probability premium for L2?
For the gamble L1 with outcomes (16,4; 0.4), the certainty equivalent is $11.42, the maximum insurance payment is $6.57, and the probability premium is 0.07. For the gamble L2 with outcomes (36, 16; 0.5), the certainty equivalent is $22.68, the maximum insurance payment is $13.32, and the probability premium is 0.05.
(a) To find the certainty equivalent for the gamble L1(16,4;.40), we need to find the amount of certain money that gives the same level of utility as the expected utility of the gamble. The expected utility of the gamble is:
EU(L1) = (.40)×(16)^.4 + (.60)×(4)^.4 = 6.73
To find the certainty equivalent, we set U(CE) = EU(L1) and solve for CE:
CE^.4 = 6.73
CE = (6.73)^2.5 = $27.22
Therefore, the certainty equivalent for the gamble is $27.22.
(b) The maximum amount the individual would pay for an insurance policy that guarantees the expected payoff of the gamble is the expected value of the gamble minus the certainty equivalent:
Max insurance payment = E(L1) - CE = (.40)×16 + (.60)×4 - 27.22 = $2.78
(c) The probability premium is the increase in the probability of the good state that matches the certainty equivalent of the gamble. Since the certainty equivalent is $27.22, we need to find the probability of the good state that gives a utility of $27.22:
(16)^.4 × (p) + (4)^.4 × (1-p) = 27.22
Solving for p, we get:
p = 0.787
Therefore, the probability premium is 0.787 - 0.40 = 0.387 or 38.7%.
(d) For the gamble L2 = (36, 16;.50), the expected utility is:
EU(L2) = (.50)×(36)^.4 + (.50)×(16)^.4 = 13.32
To find the certainty equivalent, we solve U(CE) = EU(L2) for CE:
CE^.4 = 13.32
CE = (13.32)^2.5 = $48.72
Therefore, the certainty equivalent for the gamble L2 is $48.72.
The maximum amount the individual would pay for an insurance policy that guarantees the expected payoff of the gamble is:
Max insurance payment = E(L2) - CE = (.50)×36 + (.50)×16 - 48.72 = $1.28
The probability premium is:
(36)^.4 × (p) + (16)^.4 × (1-p) = 48.72
Solving for p, we get:p = 0.943
Therefore, the probability premium is 0.943 - 0.50 = 0.443 or 44.3%.
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Suppose you want to buy a 15-year, $1,000 par value annual bond with an annual coupon rate of 5%, and pays Interest annually. If the bond has 10 years left to maturity and it is currently quoted at 10What is the annual coupon income on a $1000 par value bond that pays a 5% coupon rate?
The annual coupon income on a $1000 par value bond that pays a 5% coupon rate would be $50. This means that the bond will pay $50 in interest every year for the duration of the bond's life.
However, in the scenario given, the bond has 10 years left to maturity and is currently quoted at 10, meaning that the bond's yield is 10%. This is higher than the coupon rate of 5%, indicating that the bond's price has decreased in order to attract buyers who want a higher yield. If an investor were to purchase the bond at its current price, they would still receive the annual coupon income of $50, but they would also benefit from the bond's yield of 10%.
At maturity, the investor would receive the bond's par value of $1000. It's important to note that the bond's price may fluctuate depending on market conditions and changes in interest rates. If interest rates were to increase, the bond's price would likely decrease, and vice versa. Therefore, it's important to consider a variety of factors before investing in a bond.
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Based on the comments made by the governor of the bank of
Canada, what are your expectations for key economic variables over
the next year?
The governor of the Bank of Canada has commented that the Canadian economy is in a good position to weather the current global economic uncertainty, and that the bank will be monitoring the situation closely.
Based on this, it is likely that the Bank of Canada will maintain a steady-state policy, with no dramatic changes in interest rates or other economic variables. This suggests that economic growth is likely to remain relatively stable, but may be slightly slower than it has been in recent years.
Inflation is expected to remain at its current level, with no significant increases or decreases. Unemployment is also likely to remain relatively stable. In addition, the Canadian dollar is expected to remain relatively strong, although its value may fluctuate slightly due to external factors. Overall, the Bank of Canada's comments suggest that the Canadian economy is well-positioned to remain stable, with modest growth in the coming year.
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A French investor buys 240 shares of Teck for $16,800 ($70 per share). Over the course of a year, Teck goes up by $8.65. a. If there is a 10 percent gain in the value of the dollar versus the euro, wh
The French investor gains $2,076 in terms of euros after a 10% gain in the value of the dollar versus the euro.
1. Calculate the initial investment in dollars: 240 shares * $70/share = $16,800
2. Determine the increase in stock value: $8.65 * 240 shares = $2,076
3. Calculate the new total investment value: $16,800 + $2,076 = $18,876
4. Factor in the 10% gain in the value of the dollar versus the euro: $18,876 * 0.9 = €16,988.40
5. Determine the initial investment in euros: $16,800 * 0.9 = €15,120
6. Calculate the gain in terms of euros: €16,988.40 - €15,120 = €1,868.40
The French investor gains €1,868.40 after a 10% gain in the value of the dollar versus the euro.
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Question:Choose the Commercial Bank of any country and highlights thefollowing points:· Functions· Role inthe economic development of that country
The Commercial Bank of any country and highlights the following points:· Functions· Role inthe economic development of that country is the State Bank of India (SBI), the largest public sector bank in India.
SBI functions are provides a wide range of banking services to customers, it accepts deposits in the form of savings accounts, current accounts, and fixed deposits. The bank also extends loans and advances to individuals, businesses, and industries, thereby facilitating economic growth. SBI offers various financial services such as insurance, asset management, and credit cards. Furthermore, the bank provides international banking and foreign exchange services, facilitating cross-border trade and investment.
SBI plays a crucial role in India's economic development, it supports infrastructure projects, small and medium enterprises (SMEs), and the agricultural sector by providing loans and financial assistance. The bank's extensive network, particularly in rural and remote areas, promotes financial inclusion, empowering individuals and communities with access to banking services. Additionally, SBI helps attract foreign investment by providing a robust banking platform for international businesses. By extending credit and supporting various sectors, the State Bank of India contributes significantly to the country's overall economic growth and development.
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mckensie, inc., has outstanding 10,000 shares of $25 par value, 6% nonparticipating, cumulative preferred stock and 16,000 shares of $5 par value common stock. the dividend on preferred stock is two years in arrears, and the total cash dividend declared this year is $85,000. the total amounts distributed to preferred and common stockholders, respectively, are:
To calculate the amounts distributed to preferred and common stockholders, we need to follow a specific process. Total amounts distributed to preferred and common stockholders, respectively, are $75,000 and $10,000.
First, we need to determine the total amount of dividends that should be paid to preferred stockholders. Since the preferred stock has a cumulative feature, any unpaid dividends accumulate and must be paid before any dividends can be paid to common stockholders.
In this case, the dividend on preferred stock is two years in arrears, which means that $60,000 ($30,000 x 2 years) of unpaid dividends must be paid before any dividends can be paid to common stockholders.
Next, we need to calculate the total amount of dividends that can be paid to preferred stockholders this year. The preferred stock has a fixed dividend rate of 6% of its $25 par value, which is $1.50 per share. The total number of preferred shares outstanding is 10,000, so the total amount of dividends that should be paid to preferred stockholders is $15,000 ($1.50 x 10,000 shares).
However, since $60,000 of unpaid dividends must be paid this year, the total amount of dividends that should be paid to preferred stockholders this year is $75,000 ($60,000 + $15,000).
Finally, we can calculate the total amount of dividends that can be paid to common stockholders. The total cash dividend declared this year is $85,000, and $75,000 of this amount is allocated to preferred stockholders.
Therefore, the total amount of dividends that can be paid to common stockholders is $10,000 ($85,000 - $75,000).
In summary, the total amounts distributed to preferred and common stockholders, respectively, are $75,000 and $10,000. This is because the preferred stock has a cumulative feature, and any unpaid dividends must be paid before dividends can be paid to common stockholders.
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A 4-year project with an initial cost of $119,000 and a required rate of return of 17 percent has a chance of success of 9 percent. If the project succeeds, the annual cash flow will be $1,591,000. If the project fails, the annual cash flow will be −$214,000. The project can be shut down after the first two years, but all money invested will be lost. None of the initial cost can be recouped after four years. What is the net present value of this project at Time 0?
Answer:
The net present value of the project at Time 0 is $83,062.72. This means that the project is expected to generate a positive return, and it is worth investing in.
Explanation:
To calculate the net present value (NPV) of the project at Time 0, we need to find the present value of all cash flows associated with the project using the required rate of return of 17 percent.
First, let's calculate the expected cash flows for the project:
Chance of success = 9%
Chance of failure = 91% (100% - 9%)
If the project succeeds, the annual cash flow will be $1,591,000, and it will continue for four years. Therefore, the total cash flow for the project's life will be:
Total cash flow if the project succeeds = $1,591,000 x 4 = $6,364,000
If the project fails, the annual cash flow will be -$214,000, and it will also continue for four years. Therefore, the total cash flow for the project's life will be:
Total cash flow if the project fails = -$214,000 x 4 = -$856,000
Now, we can calculate the expected value of the project's cash flows:
Expected value = (Chance of success x Total cash flow if the project succeeds) + (Chance of failure x Total cash flow if the project fails)
Expected value = (0.09 x $6,364,000) + (0.91 x -$856,000) = $415,320
This means that the expected value of the project's cash flows is $415,320.
Next, we can calculate the NPV of the project at Time 0:
NPV = -Initial cost + PV of expected cash flows
NPV = -$119,000 + (PV factor for 4 years at 17% x $415,320)
NPV = -$119,000 + (0.486 x $415,320)
NPV = -$119,000 + $202,062.72
NPV = $83,062.72
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what is Meta-analysis have indicated that job satisfaction and job performance