The value of the prize is worth $185,333.33 today. This is because the prize is $2,000 a month for ten years, so it totals $240,000.
When that amount is adjusted for the 7 percent interest rate, it comes to $185,333.33. This amount is calculated by taking the original amount and multiplying it by the present value of an annuity factor.
The factor takes into account the time value of money, which means that money today is worth more than money in the future due to the potential for it to earn interest over time. Therefore, the prize of $240,000 a decade from now is worth less than $240,000 today, when factoring in the 7 percent interest rate.
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Commercial paper is usually sold at a discount. Fan Corporation has just sold an issue of 80-day commercial paper with a face value of $0.8 million. The firm has received initial proceeds of$787,931. (Note: Assume a 365-day year.)
a. What effective annual rate will the firm pay for financing with commercial paper, assuming that it is rolled over every 80 days throughout the year?
b. If a brokerage fee of $7,747 was paid from the initial proceeds to an investment banker for selling the issue, what effective annual rate will the firm pay, assuming that the paper is rolled over every 80 days throughout the year?
a. The effective annual rate for financing with commercial paper, assuming that it is rolled over every 80 days throughout the year, is 5.46%.
b. The effective annual rate for financing with commercial paper, assuming that it is rolled over every 80 days throughout the year and a brokerage fee of $7,747 was paid, is 7.82%.
a. How to determine the effective annual rate that Fan Corporation will pay for commercial paper financing ?To find the effective annual rate, we first need to calculate the discount on the face value of the commercial paper financing:
Discount = Face Value - Initial Proceeds
Discount = $800,000 - $787,931
Discount = $12,069
The effective annual rate can be calculated using the following formula:
(1 + i)[tex]^n[/tex] = (Face Value / Initial Proceeds)
where i is the effective annual rate, and n is the number of times the commercial paper is rolled over in a year.
Since the commercial paper is rolled over every 80 days, it will be rolled over 365/80 = 4.56 times in a year.
Substituting the values into the formula:
(1 + i)4.56 = ($800,000 / $787,931)
Solving for i, we get:
i = [(($800,000 / $787,931)(¹/⁴.⁵⁶)) - 1] x 4.56
i = 0.0546 or 5.46%
Therefore, the effective annual rate for financing with commercial paper, assuming that it is rolled over every 80 days throughout the year, is 5.46%.
b. How to calculate the effective annual rate when a brokerage fee is paid to an investment banker?To calculate the effective annual rate with the brokerage fee, we need to subtract the fee from the initial proceeds:
Net Proceeds = Initial Proceeds - Brokerage Fee
Net Proceeds = $787,931 - $7,747
Net Proceeds = $780,184
The discount on the face value of the commercial paper remains the same at $12,069.
Substituting the values into the formula used in part a:
(1 + i)⁴.⁵⁶ = ($800,000 / $780,184)
Solving for i, we get:
i = [(($800,000 / $780,184)(¹/⁴.⁵⁶)) - 1] x 4.56
i = 0.0782 or 7.82%
Therefore, the effective annual rate for financing with commercial paper, assuming that it is rolled over every 80 days throughout the year and a brokerage fee of $7,747 was paid, is 7.82%.
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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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"The rate of unemployment of a country can be increased_____.a. encouraging foreign firms to establish subsidiaries that produce the same
products local firms produce.
b. encouraging foreign firms to establish licensing arrangements for products
local firms produce.
c. encouraging foreign firms to establish subsidiaries that produce products
local firms do not produce.
d. none of the above would reduce employment.
The rate of unemployment in a country can be increased by encouraging foreign firms to establish subsidiaries that produce the same products local firms produce or establishing licensing arrangements for products local firms produce.
When foreign corporations create subsidiaries that produce the same products as local firms or establish licensing arrangements for items produced by local enterprises, local firms may face greater competition. As a result, local businesses may lose market share and income, leading to downsizing and layoffs. This may lead to a rise in the country's unemployment rate.
In contrast, encouraging foreign corporations to create subsidiaries that provide things that local firms do not produce can have a favorable influence on employment. This can result in the development of new jobs, which can help to lower the unemployment rate.
Overall, governments must carefully assess the impact of foreign investment on domestic businesses and labor markets. While the foreign investment may provide advantages such as job creation and economic progress, it can also have negative implications such as rising unemployment if it is not effectively handled.
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Cost of equity: SML Stan is expanding his business and will sell common stock for the needed funds. If the current risk free rate is 6.1% and the expected market return is 15.3%, what is the cost of equity for Stan if the bota of the stock is a. 0.622 b. 0.82? c. 1.022 d. 1.272 a. What is the cost of equity for Stan if the beta of the stock is 0.62? 0% (Round to two decimal places.)
The cost of equity for Stan if the beta of the stock is 0.62 is 11.804%.
The cost of equity for Stan if the beta of the stock is 0.62 can be calculated using the Capital Asset Pricing Model (CAPM):
The return a company gives to equity investors, such as shareholders, as compensation for the risk they took by investing their money, is known as the cost of equity.
Cost of equity = Risk-free rate + Beta x (Expected market return - Risk-free rate)
Substituting the given values, we get:
Cost of equity = 6.1% + 0.62 x (15.3% - 6.1%)
Cost of equity = 6.1% + 0.62 x 9.2%
Cost of equity = 6.1% + 5.704%
Cost of equity = 11.804%
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The cost of equity for Stan if the beta of the stock is 0.62 can be calculated using the Capital Asset Pricing Model (CAPM):The return a company gives to equity investors, such as shareholders, as compensation for the risk they took by investing their money, is known as the cost of equity.
Cost of equity = Risk-free rate + Beta x (Expected market return - Risk-free rate).
Substituting the given values, we get:
Cost of equity = 6.1% + 0.62 x (15.3% - 6.1%)
Cost of equity = 6.1% + 0.62 x 9.2%
Cost of equity = 6.1% + 5.704%
Cost of equity = 11.804%
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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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what is Meta-analysis have indicated that job satisfaction and job performance
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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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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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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Q. Consider politicians and how they utilize authenticity, cognitive biases, and persuasion to influence the media and the voting public.
b. Discuss the role of authenticity in politics - is it used or not, and why?
#use accountability, vulnerability, integrity, security and humility to answer part B (long answer)
In politics, authenticity is essential because it fosters credibility and trust. Voters are swayed by politicians who exhibit responsibility, openness, security, honesty, and humility.
Authenticity is important in politics because it builds credibility and trust with the electorate. Sincere politicians take ownership of their decisions and actions as a sign of accountability. Their humanness and capacity to relate to voters on a personal level are demonstrated by their vulnerability.
While security suggests that a politician has a feeling of stability and continuity, integrity informs voters that a politician is trustworthy and honest. Humble politicians can acknowledge their errors and grow from them. Therefore, politicians that see its significance in developing connections with the people and winning their confidence employ authenticity.
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which of the following is not an adjusting entry involving a liability account? a. recognizing depreciation expense for machinery purchased last year. b. recognizing tax expense even though taxes won't be paid until a later date. c. recognizing wage expense that will be paid in a future period. d. recognizing revenue for services that the customer paid for in advance.
Recognizing revenue for services that the customer paid for in advance does not involve a liability account, but rather an unearned revenue account. The correct answer is D.
Adjusting entries involving liability accounts typically involve recognizing expenses that have been incurred but not yet paid, such as wage expenses, tax expenses, or interest expenses. Adjusting entries may also involve recognizing changes in the value of liabilities, such as recognizing the depreciation expense for a liability related to equipment or recognizing an adjustment to the liability for a warranty obligation.
Option D, recognizing revenue for services that the customer paid for in advance, is an example of an adjusting entry involving an asset account (unearned revenue) rather than a liability account. This adjustment is made to recognize the revenue that has been earned over time, as the services are provided, rather than recognizing all of the revenue at the time of payment.
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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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collins manufacturing has the following information: common stock is 2.5 million shares with a current price of $42 per share; the beta of the stock is 1.5; the standard deviation of the stock is 10.5%. market: the us treasury bill is yielding 2.8% and the expected return on the market is 10.8%. the corporate tax rate is 38%. what is the firm's expected return on equity?
The Collins Manufacturing's expected return on equity is 14.8%.
To find the expected return on equity for Collins Manufacturing, we'll use the Capital Asset Pricing Model (CAPM). The information given is as follows:
1. Common stock: 2.5 million shares at $42 per share
2. Beta of the stock: 1.5
3. Standard deviation of the stock: 10.5%
4. US Treasury Bill yield: 2.8%
5. Expected return on the market: 10.8%
6. Corporate tax rate: 38%
Now, let's apply the CAPM formula:
Expected return on equity = Risk-free rate + (Beta × (Expected market return - Risk-free rate))
In order to calculate the expected return on equity, follow these steps:1: Identify the risk-free rate, which is the US Treasury Bill yield: 2.8%
2: Subtract the risk-free rate from the expected market return: 10.8% - 2.8% = 8%
3: Multiply the result by the stock's beta: 1.5 × 8% = 12%
4: Add the risk-free rate to the result from step 3: 2.8% + 12% = 14.8%
The firm's expected return on equity is 14.8%.
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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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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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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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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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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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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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Consider a hypothetical security that pays a continuous dividend over time according to D(t) = Do(1+t). Assuming a (constant) CC rate of interest, r, write a SIMPLIFIED expression for the present value and the duration of this security.
If r = 10% what maturity ZC bond matches the duration?
The simplified expression for the present value of the security is: PV = [tex]D_{0}/(r^2)[/tex] and for the duration of the security is: D = 1/r. If r = 10%, the maturity of a zero-coupon bond that matches the duration is 11 years.
To find the present value and duration of a security with a continuous dividend D(t) = D₀(1+t) and a constant continuous compounding interest rate r, follow these steps:
1. Present Value (PV):
- Integrate the dividend function multiplied by the discount factor from 0 to infinity: PV = ∫[D₀(1+t)[tex]e^{-rt}[/tex]]dt, from 0 to ∞
- Solve the integral to find the simplified expression for the present value, we have, PV = [tex]D_{0}/(r^2)[/tex]
Thus, the simplified expression for the present value of the security is: PV = [tex]D_{0}/(r^2)[/tex]
2. Duration (D):
- Divide the present value of the time-weighted cash flows by the present value of the security: D = (1/PV)∫[tD₀(1+t)[tex]e^{-rt}[/tex]]dt, from 0 to ∞
- Solve the integral to find the simplified expression for the duration, we have, D = 1/r
Thus, the simplified expression for the duration of the security is: D = 1/r
3. Maturity of a Zero-Coupon Bond (ZC):
- Given r = 10%, we need to find the maturity of a zero-coupon bond that matches the duration.
Use the formula for duration of a zero-coupon bond: [tex]D_{ZC}[/tex] = Maturity / (1+r)
So, Maturity = [tex]D_{ZC}[/tex] * (1+r) = (1/0.1) * (1+0.1) = 10 * 1.1 = 11 years.
Therefore, the maturity of a zero-coupon bond, if r = 10% that matches the duration is 11 years.
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A tabor saving device system save $2,000 per year for five (5) years. It can be installed at a cost of $8,000. The rate of return on this planned investment is most nearly a = 12 36% b.i =10.36% c.10% d. 9.36%
The rate of return on this planned investment is most nearly 10.36%. The correct answer is b.
To calculate the rate of return on this investment, we need to use the formula for net present value (NPV). NPV takes into account the initial cost of the investment and the expected cash inflows over a period of time, discounted to their present value.
Using the given information, we can calculate the NPV as follows:
NPV = [tex]-8000 + (2000/1.12) + (2000/1.12^2) + (2000/1.12^3) + (2000/1.12^4) + (2000/1.12^5)[/tex]
NPV =[tex]-8000 + 1782.14 + 1587.54 + 1415.25 + 1263.55 + 1129.73[/tex]
NPV =[tex]$1248.21[/tex]
Since the NPV is positive, the investment is expected to earn a positive return. To calculate the rate of return, we can use the internal rate of return (IRR) function in Excel or a financial calculator. The IRR for this investment is 10.36%, which is option b.
Therefore, the correct answer is b. 10.36%.
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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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(Cost of preferred stock) The preferred stock of Texas Southern Power Company sells for $41 and pays $7 in dividends. The net price of the security after issuance costs is $36.08 . What is the cost of capital for the preferred stock?
The cost of capital for Texas Southern Power Company's preferred stock is approximately 29.07%.
To determine the cost of capital for Texas Southern Power Company's preferred stock, we need to consider the dividend paid, the selling price, and the net price after issuance costs. Let's follow these steps:
1. First, we need to calculate the dividend yield, which is the annual dividend divided by the stock's selling price. In this case, the dividend is $7, and the selling price is $41:
Dividend Yield = Dividend / Selling Price = $7 / $41 ≈ 0.1707 or 17.07%
2. Next, we need to account for the issuance costs. To do this, we'll calculate the difference between the selling price and the net price after issuance costs, then divide by the selling price:
Issuance Cost Percentage = (Selling Price - Net Price) / Selling Price = ($41 - $36.08) / $41 ≈ 0.1200 or 12%
3. Finally, we'll adjust the dividend yield to account for the issuance costs. This will give us the cost of capital for the preferred stock:
Cost of Capital = Dividend Yield + Issuance Cost Percentage = 17.07% + 12% = 29.07%
Therefore, the cost of capital for Texas Southern Power Company's preferred stock is approximately 29.07%. This value represents the required return on investment for investors who purchase the preferred stock, taking into consideration the dividend payments and the costs associated with issuing the stock.
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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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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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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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Problem 9-34 Risk, Return, and Their Relationship (LG9-3, LG9-4) Consider the following annual returns of Molson Coors and International Paper: Year 1 Year 2 Year 3 Year 4 Molson Coors 17.88 - 8.7 38.0 International Paper 4.8% -17.8 -0.5 26.9 -11.4 - 7.5 Year 5 16.5 Compute each stock's average return, standard deviation, and coefficient of variation. (Round your answers to 2 decimal places.) Molson Coors 11.22 % Average return Standard deviation International Paper 0.40% % % Coefficient of variation Which stock appears better? O International Paper O Molson Coors
Molson Coors has an average annual return of 11.22% and a standard deviation of 19.43%.
The coefficient of variation for Molson Coors is 1.73. International Paper has an average annual return of 0.40% and a standard deviation of 15.69%. The coefficient of variation for International Paper is 39.17.
Based on these calculations, Molson Coors appears to be the better investment option as it has a higher average return and a lower coefficient of variation, indicating a lower risk compared to International Paper.
However, it is important to note that other factors such as market trends and company performance should also be considered when making investment decisions.
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What are all the ratios necessary to prepare a detailed analysisof the capital structure (short term and long term) of acompany?
To prepare a detailed analysis of a company's capital structure (short-term and long-term), several ratios can be used including the debt-to-equity ratio.
Here are some ratios that can be used to analyze the capital structure (short-term and long-term) of a company:
Debt-to-Equity Ratio: This ratio measures the company's leverage by comparing its total liabilities to its shareholders' equity.Debt-to-Assets Ratio: This ratio measures the proportion of the company's assets that are financed by debt.Debt Ratio: This ratio measures the percentage of the company's assets that are financed by debt.Interest Coverage Ratio: This ratio measures the company's ability to pay interest on its debt by comparing its earnings before interest and taxes (EBIT) to its interest expense.Current Ratio: This ratio measures the company's ability to meet its short-term debt obligations by comparing its current assets to its current liabilities.Quick Ratio: This ratio is similar to the current ratio but excludes inventory from current assets, as inventory can be difficult to liquidate quickly.Cash Ratio: This ratio measures the company's ability to pay off its current liabilities with its cash and cash equivalents.Fixed Charge Coverage Ratio: This ratio measures the company's ability to meet its fixed expenses (such as rent and lease payments) by comparing its earnings before fixed charges and taxes (EBFCT) to its fixed charges.Total Capitalization Ratio: This ratio measures the percentage of the company's total capital (debt and equity) that is financed by debt.Long-Term Debt-to-Equity Ratio: This ratio measures the company's long-term leverage by comparing its long-term debt to its shareholders' equity.These ratios can be used to assess the financial health of a company's capital structure and help determine if it is too heavily reliant on debt financing, which can be risky if the company experiences financial difficulties.
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Dantzler Corporation is a fast-growing supplier of office products. Analysts project the following free cash flows (FCFs) during the next 3 years, after which FCF is expected to grow at a constant 5% rate. Dantzler's WACC is 16%.a) Year 0 FCF N/Ab) Year 1 FCF -$15 millionc) Year 2 FCF $28 milliond) Year 3 FCF $46 milliona. What is Dantzler's horizon, or continuing value? (Hint: Find the value of all free cash flows beyond Year 3 discounted back to Year 3.) Round your answer to 2 decimal places. Enter your answers in millions.b. What is the firm's value today? Round your answer to 2 decimal places. Enter your answers in millions. Do not round intermediate calculations.c. Suppose Dantzler has $141 million of debt and 7 million shares of stock outstanding. What is your estimate of the current price per share? Round your answer to 2 decimal places.
Dantzler's horizon value is $511.11 million whereas the firm's value today is $319.96 million and the current price per share for Dantzler Corporation is $25.85.
a) To calculate Dantzler's horizon value, we need to find the present value of all free cash flows beyond Year 3 discounted back to Year 3. Using the constant growth model, we can calculate the horizon value as follows:
Horizon Value = (FCF Year 4 / (WACC - g))
where FCF Year 4 is the free cash flow in Year 4, g is the constant growth rate, and WACC is the weighted average cost of capital.
Using the given values, we get:
Horizon Value = (46 / (0.16 - 0.05)) = $511.11 million
b) To find the firm's value today, we need to calculate the present value of all free cash flows, including the horizon value. Using the discounted cash flow (DCF) method, we get:
PV of FCF Year 1-3 = (-15 / (1 + 0.16)^1) + (28 / (1 + 0.16)^2) + (46 / (1 + 0.16)^3) = $55.47 million
PV of Horizon Value = (511.11 / (1 + 0.16)^3) = $264.49 million
Therefore, the firm's value today is:
Value Today = PV of FCF Year 1-3 + PV of Horizon Value = $319.96 million
c) To estimate the current price per share, we need to divide the total firm value by the number of shares outstanding and subtract the value of debt. Using the given values, we get:
Price per share = (Value Today - Debt) / Number of shares = ($319.96 - $141) / 7 million = $25.85
Therefore, our estimate of the current price per share for Dantzler Corporation is $25.85.
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