In this case, the total money supply is $5,000.
How to find total money supplyWhen the Federal Reserve (the Fed) conducts an open market purchase of $1,000 in government securities, it affects the excess reserves, banking system loans, and the total money supply.
With a required reserve ratio of 20%, commercial banks must hold 20% of their deposits as reserves.
The Fed's purchase of $1,000 in government securities from commercial banks results in an increase of $1,000 in their excess reserves. This allows banks together create new loans and expand the money supply.
To calculate the maximum change in the total money supply, we can use the money multiplier formula:
Money Multiplier = 1 / Required Reserve Ratio.
In this case, the money multiplier is 1 / 0.20 = 5.
Therefore, the maximum change in the total money supply is the increase in excess reserves multiplied by the money multiplier:
$1,000 x 5 = $5,000.
The maximum change in banking system loans would be the same as the change in the total money supply minus the initial increase in excess reserves:
$5,000 - $1,000 = $4,000.
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(Individual or component costs of capital) Compute the cost of the following:
a. A bond that has $1,000 par value (face value) and a contract or coupon interest rate of 8 percent. A new issue would have a floatation cost of 9 percent of the $1,145market value. The bonds mature in 7 years. The firm's average tax rate is 30 percent and its marginal tax rate is 37 percent. What is the firm's after-tax cost of debt on the bond?_____%
b. A new common stock issue that paid a $1.70 dividend last year. The par value of the stock is $15, and earnings per share have grown at a rate of 11percent per year. This growth rate is expected to continue into the foreseeable future. The company maintains a constant dividend-earnings ratio of 30 percent. The price of this stock is now $31, but 8percent flotation costs are anticipated. What is the cost of external commonequity? ______%
c. Internal common equity when the current market price of the common stock is $46. The expected dividend this coming year should be $3.30, increasing thereafter at an annual growth rate of 12 percent. The corporation's tax rate is 37 percent. What is the cost of internal common equity? _______%
d. A preferred stock paying a dividend of 9 percent on a $100 par value. If a new issue is offered, flotation costs will be 13 percent of the current price of $169. What is the cost of capital for the preferred stock? ______%
e. A bond selling to yield 14 percent after flotation costs, but before adjusting for the marginal corporate tax rate of 37percent. In other words, 14 percent is the rate that equates the net proceeds from the bond with the present value of the future cash flows (principal and interest). What is the after-tax cost of debt on the bond? ______%
a. The after-tax cost of debt on the bond is 5.27%.
b. The cost of external common equity is 15.95%.
c. The cost of internal common equity is 19.05%.
d. The cost of capital for the preferred stock is 5.26%.
e. The after-tax cost of debt on the bond is 8.82%.
a. The calculation for after-tax cost of debt on the bond is as follows:
First, we need to calculate the current market value of the bond:
Market value = Par value + (Par value x Coupon rate x (1-Flotation cost))
Market value = $1,000 + ($1,000 x 8% x (1-9%))
Market value = $928.00
Next, we need to calculate the after-tax cost of debt:
After-tax cost of debt = Coupon rate x (1 - Tax rate)
After-tax cost of debt = 8% x (1 - 30%)
After-tax cost of debt = 5.60%
Finally, we adjust for flotation costs:
After-tax cost of debt = [(Coupon payment x (1 - Tax rate)) / Net proceeds] + Flotation cost
After-tax cost of debt = [(80 x 70%) / $928] + 9%
After-tax cost of debt = 5.27%
b. The calculation for cost of external common equity is as follows:
First, we need to calculate the expected dividend for next year:
Dividend = Dividend per share x (1 + Growth rate)
Dividend = $1.70 x (1 + 11%)
Dividend = $1.89
Next, we need to calculate the cost of external common equity:
Cost of external common equity = (Dividend / Net proceeds) + Growth rate + Flotation cost
Cost of external common equity = ($1.89 / $31) + 11% + 8%
Cost of external common equity = 15.95%
c. The calculation for cost of internal common equity is as follows:
First, we need to calculate the expected dividend for next year:
Dividend = Dividend per share x (1 + Growth rate)
Dividend = $3.30 x (1 + 12%)
Dividend = $3.70
Next, we need to calculate the cost of internal common equity:
Cost of internal common equity = (Dividend / Current stock price) + Growth rate
Cost of internal common equity = ($3.70 / $46) + 12%
Cost of internal common equity = 19.05%
d. The calculation for cost of capital for the preferred stock is as follows:
First, we need to calculate the current market value of the preferred stock:
Market value = Par value / Current price
Market value = $100 / $169
Market value = $0.59
Next, we adjust for flotation costs:
Cost of capital for preferred stock = (Dividend / Net proceeds) + Flotation cost
Cost of capital for preferred stock = (9% x $100 x (1 - 37%)) / ($169 x (1 - 13%)) + 13%
Cost of capital for preferred stock = 5.26%
e. The calculation for after-tax cost of debt on the bond is as follows:
First, we need to adjust for the marginal corporate tax rate:
After-tax cost of debt = Pre-tax cost x (1 - Tax rate)
After-tax cost of debt = 14% x (1 - 37%)
After-tax cost of debt = 8.82%
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chuck, a single taxpayer, earns $76,600 in taxable income and $11,700 in interest from an investment in city of heflin bonds. (use the u.s. tax rate schedule.) required: if chuck earns an additional $40,000 of taxable income, what is his marginal tax rate on this income? what is his marginal rate if, instead, he had $40,000 of additional deductions? note: for all requirements, do not round intermediate calculations. round percentage answers to 2 decimal places.
Chuck's marginal tax rate on the additional $40,000 of taxable income is 24%. Chuck's marginal tax rate with $40,000 of additional deductions is 12%.
To determine Chuck's marginal tax rate on the additional $40,000 of taxable income and the impact of $40,000 in additional deductions, we need to refer to the U.S. tax rate schedule.
First, let's determine Chuck's current tax bracket based on his taxable income of $76,600. According to the U.S. tax rate schedule for a single taxpayer, this falls within the 22% tax bracket (income between $40,526 and $86,375).
Next, let's calculate his new taxable income if he earns an additional $40,000. His new taxable income would be $76,600 + $40,000 = $116,600. With this new taxable income, Chuck moves into the 24% tax bracket (income between $86,376 and $164,925).
Now, we can determine his marginal tax rate on the additional $40,000 of taxable income. The marginal tax rate is the tax rate applied to the last dollar of income earned. In this case, it is 24%.
If Chuck had $40,000 in additional deductions instead, his new taxable income would be $76,600 - $40,000 = $36,600. In this scenario, he would fall within the 12% tax bracket (income between $9,951 and $40,525). Therefore, his marginal tax rate with the additional deductions would be 12%.
Hence, Chuck's marginal tax rate on the additional $40,000 of taxable income is 24% and with $40,000 of additional deductions is 12%.
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forgoing current consumption so that those resources can be used to produce new capital is called: a. scarcity. b. absolute advantage. c. comparative advantage. d. saving. e. investment.
Ongoing current consumption so that those resources can be used to produce new capital is called investment. The correct answer is e Investment
Investment refers to the process of forgoing current consumption so that those resources can be used to produce new capital. In this context, "capital" represents physical assets or resources used to produce goods and services, such as machinery, buildings, or technology.
When individuals or businesses decide to invest, they are choosing to sacrifice immediate consumption or satisfaction in order to potentially increase their productivity or income in the future. This decision is driven by the desire for economic growth and a higher standard of living over time.
Investment is distinct from the other options listed. Scarcity (a) refers to the limited availability of resources; absolute advantage (b) describes a country's ability to produce a good more efficiently than another country; and comparative advantage (c) is the ability to produce a good at a lower opportunity cost than another country. Saving (d) is the act of setting aside money or resources for future use, but it does not necessarily involve using those resources to create new capital, as investment does.
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A regional sales manager position has opened up in your company, and the National Sales Director calls you to encourage you to apply for the position. The position would require significant international travel. Since you've recently adopted a child, the idea of international travel isn't appealing. According to _____ theory, you will not be motivated by the National Sales Director's suggestion.
a. the two-factor
b. Maslow's
c. equity
d. Hawthorne's
e. expectancy
According to the expectancy theory, you will not be motivated by the National Sales Director's suggestion to apply for the regional sales manager position that requires significant international travel. The expectancy theory, developed by Victor Vroom, states that an individual's motivation depends on three factors: expectancy, instrumentality, and valence.
Expectancy is the belief that increased effort will lead to increased performance. Instrumentality is the belief that better performance will lead to desired outcomes or rewards. Valence is the value an individual place on the rewards or outcomes.
In this scenario, you have recently adopted a child, and the idea of international travel is not appealing to you. This affects the valence factor of the expectancy theory. Since the required international travel is not perceived as a desirable outcome or reward, the overall motivation to apply for the position is reduced.
Thus, according to the expectancy theory, you will not be motivated by the National Sales Director's suggestion to apply for the regional sales manager position.
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The informational content of dividends refers to a link between dividends and future earnings. In other words, investors view a change in dividends, up or down, as a signal that management expects future earnings to change in the same direction.
Select one:
True
False
The statement is true because the informational content of dividends theory suggests that changes in dividends (increase or decrease) can provide information to investors about the future prospects of a company.
The informational content of dividends refers to the idea that changes in dividends can convey valuable information about the company's future prospects. For example, if a company increases its dividend payment, it may signal that management is confident in the company's future earnings potential and expects that it will continue to generate strong cash flows.
On the other hand, if a company decreases or eliminates its dividend payment, it may signal that the company is experiencing financial difficulties or expects lower future earnings potential. This can cause investors to become concerned about the company's future prospects, leading to a decrease in demand for the company's stock and a decrease in its share price.
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Compare the financial fates of two workers. (Round all finalanswers to the nearest DOLLAR.)WORKER A starts to save money early forretirement and puts away $300 a month in a retirement accountpayinCompare the financial fates of two workers. (Round all final answers to the nearest DOLLAR.) WORKER A starts to save money early for retirement and puts away $300 a month in a retirement account payin g on average 8.5% for 45 years. WORKER B starts late and puts away $1,500 a month for 10 years in an account paying 8.5%. WORKER A: FUTURE VALUE Total Contribution= Interest WORKER B: FUTURE VALUE Total Contribution- Interest
The financial fates are: WORKER A: FUTURE VALUE = $3,066,000 Total Contribution = $216,000, WORKER B: FUTURE VALUE = $2,085,000 Total Contribution = $180,000.
What is financial fates?Financial fates is a term used to refer to the future of a company’s financial state. This can include the company’s financial health, performance, and ability to meet obligations such as debt payments. Companies can have good or bad financial fates, and it is important for those in the corporate and finance industries to be aware of these changes in order to make informed decisions.
In total, Worker A has contributed $216,000 and earned an interest of $2,850,000, resulting in a future value of $3,066,000. On the other hand, Worker B, who has saved for a shorter period of time and contributed less money, has a future value of $2,085,000. This is because Worker B has only contributed $180,000 and earned an interest of $1,905,000. The difference in the future values of the two workers is $981,000.
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if you were developing an incentive system designed to help drive successful strategy execution, which compensation and reward system would you not consider in your strategy execution effort?
The salary and reward system should be in line with the overall strategy and goals of the firm.
However, in general, any system that incentivizes activities that are inconsistent with the company's principles or that may lead to unethical practices should be avoided. A system that primarily pays salespeople based on the number of sales they generate, for example, may push them to use aggressive or dishonest tactics to complete deals.
As a result, it is critical to carefully analyze the incentive system's design and ensure that it promotes behaviors that support the company's vision and goal.
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blue water homes has 8 percent bonds outstanding that mature in 13 years. the bonds pay interest semiannually. these bonds have a par value of $1,000 and are callable in 5 years at a call price of $1050. what is the yield to call if the current price is equal to $1110.92? a. 3.125 percent by. 9.66 percent c. 4.83 percent d. 7.93 percent e. 6.25 percent
The value of YTC is approximately 3.125 percent (Option A).
How to calculate the yield to call if the current priceBlue Water Homes has 8 percent bonds outstanding that mature in 13 years and pay interest semiannually.
The bonds have a par value of $1,000 and are callable in 5 years at a call price of $1,050. The current price of the bonds is $1,110.92.
To determine the yield to call (YTC), we need to calculate the internal rate of return on the bond's cash flows, considering the bond's current price, call price, and interest payments.
Using a financial calculator or spreadsheet software, input the following values:
N = 10 periods (5 years * 2 semiannual periods), P
V = -$1,110.92 (negative because it's an outflow),
PMT = $40 (8% * $1,000 / 2 semiannual periods), and FV = $1,050.
Solve for the interest rate (I) which represents the YTC. The calculated YTC is approximately 3.125 percent (Option A).
This is the yield an investor would receive if they purchase the bond at its current price and the bond is called at the call price in 5 years.
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which of the following is true regarding price? multiple choice question. it should be based on the value that the customer perceives. it should be as high as legally allowed. it should always be based on competitors' prices. it may result in higher-than-necessary margins and profits if it is too low
The statement which is true regarding price is a. it should be based on the value that the customer perceives.
Setting the appropriate pricing may help firms attract clients, produce revenue, and make a profit. Pricing is a crucial component of marketing strategy. Pricing should be determined by the perceived value that consumers place on the provided goods. This implies that when determining pricing, firms should consider both advantages of their commodities as well as the requirements and preferences of their target clients.
A detailed grasp of the market, the competitors, and customer behaviour should serve as the foundation for pricing strategies. Pricing decisions can have a detrimental effect on sales and earnings. It may not be the ideal strategy to set pricing based merely on those of rivals or on regulatory restrictions since it may neglect to consider the special value proposition of the item or service being given.
Complete Question:
Which of the following is true regarding price?
a. it should be based on the value that the customer perceives.
b. it should be as high as legally allowed.
c. it should always be based on competitors' prices.
d. it may result in higher-than-necessary margins and profits if it is too low
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Explain what is a 'political Business Cycle'. Does it apply nowas the Fed is trying to raise the overnight lending rate insuccessive stages?
A political business cycle refers to the phenomenon where politicians manipulate economic policies in order to influence voters and improve their chances of winning elections.
What's political business cycleThis often involves implementing expansionary policies such as increased government spending or lower interest rates in the lead up to elections to boost economic growth and reduce unemployment. However, these policies may lead to higher inflation and economic instability in the long run.
As the Fed is currently trying to raise the overnight lending rate in successive stages, it may not necessarily be influenced by the political business cycle.
The Fed's decision to raise interest rates is based on their assessment of the current state of the economy and their goals for maintaining stable prices and maximum employment.
While politicians may have their own preferences for the direction of interest rates, the Fed is an independent institution that makes its decisions based on economic data and analysis.
However, political pressure could still potentially impact the Fed's decision-making process.
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Marginal benefit minus price equals: A. consumer surplus. B. economic equity. C. producer surplus. D. economic efficiency.
Marginal benefit minus price equals A. consumer surplus.
What is meant by consumer surplus?
Consumer surplus is the difference between the maximum price a consumer is willing to pay for a good or service (i.e., marginal benefit) and the actual price they pay. Therefore, marginal benefit minus price equals consumer surplus.
Marginal benefit represents the additional benefit a consumer receives from consuming an additional unit of a good or service, while price represents the cost of that unit. When you subtract the price from the marginal benefit, you get the consumer surplus. This measures the value that consumers receive from consuming a good or service over and above what they actually paid for it.
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If I save $100 per year for 30 years, earning 3%, how much will I have at the end of 30 years? If the interest rate is 5%, how long will it take to accumulate the same amount?
How much interest was accumulated in each of the previous two exercises?
If $100 per year is saved for 30 years earning 3% interest rate, at the end of 30 years the accumulated amount would be $4,274.68.
If the interest rate is 5%, it take 22.14 years to accumulate the same amount.
Interest accumulated at 3% interest rate is $1,274.68 and at 5% interest rate is $2,060.68.
To calculate the future value of your savings and the interest accumulated, we will use the future value of a series formula, which is:
FV = P * [(1 + r)^n - 1] / r
Where FV is the future value, P is the payment ($100), r is the interest rate (3% or 5%), and n is the number of periods (30 years).
1. If you save $100 per year for 30 years, earning 3%, the future value will be:
FV = 100 * [(1 + 0.03)^30 - 1] / 0.03
FV ≈ $4,274.68
2. To find out how long it will take to accumulate the same amount at a 5% interest rate, we will rearrange the formula:
n = log[(FV * r + P) / P] / log(1 + r)
Using the previous future value of $4,274.68 and a 5% interest rate:
n = log[(4,274.68 * 0.05 + 100) / 100] / log(1 + 0.05)
n ≈ 22.14 years
3. To find the interest accumulated in each case, we will subtract the total amount of money saved without interest from the future value:
Interest accumulated at 3%:
$4,274.68 - ($100 * 30) = $1,274.68
Interest accumulated at 5%:
Total saved in 22.14 years = $100 * 22.14 ≈ $2,214
$4,274.68 - $2,214 = $2,060.68
In summary, if you save $100 per year for 30 years earning 3%, you will have $4,274.68 at the end of 30 years, with an accumulated interest of $1,274.68. If the interest rate is 5%, it will take you approximately 22.14 years to accumulate the same amount, with an accumulated interest of $2,060.68.
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The first, and perhaps most important, step in constraint management is to ____________ the most pressing constraint. A. improve B. support C. identify D. elevate E. modify
The first step in constraint management is to identify the most pressing constraint, which is crucial in developing effective strategies to address the issue. The correct option is C.
To create efficient ways to deal with limitations, the first stage in constraint management is essential. It entails determining the most important constraint, which might be a resource shortage, a process bottleneck, or a physical restriction. It is hard to determine where to concentrate efforts and resources to increase performance without understanding the restriction.
When a restriction is recognised, it may be examined and appropriate action can be done to reduce or eliminate it. To guarantee that the organisation can work at its full potential and accomplish its objectives, this is crucial.
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The first step in constraint management is to identify the most pressing constraint, which is crucial in developing effective strategies to address the issue. The correct option is C.
Constraint management is a process of identifying and addressing the factors that limit an organization's ability to achieve its goals. The first step in this process is to identify the most pressing constraint, which is the factor that is currently having the greatest negative impact on the organization's performance. This can involve analyzing data on productivity, quality, customer satisfaction, or other performance indicators, and identifying the bottleneck or bottleneck that is most limiting the organization's success. Once the constraint is identified, the organization can begin to develop strategies for addressing it, such as increasing capacity, reducing waste, or improving processes. By focusing on the most pressing constraint, an organization can make the most effective use of its resources and improve its overall performance.
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A large, standby electricity generator in a hospital operating room has a first cost of $73,000 anil may be used for a maximum of 6 years. Its salvage value, which decreases by 15% per year, is described by the equation S = 70,000(1 - 0.15)", where n is the number of years after purchase. The operating cost of the generator will be constant at $75,000 per year. At an interest rate of 12% per year, what are the economic service life and the associated AW value?
The economic service life of the generator is 6 years, and its associated AW value is -$873,458.38. This means that the generator is not economically justified, since its costs exceed its revenues over its useful life.
To find the economic service life and the associated annual worth (AW) value, we need to calculate the present worth (PW) of the generator's costs and revenues over time, and then use the PW to calculate the AW.
Let's start by calculating the salvage value (S) of the generator at the end of each year, using the given equation:
S = 70,000(1 - 0.15)^n
where n is the number of years after purchase.
After 1 year: S = 70,000(1 - 0.15[tex])^1[/tex]= 59,500
After 2 years: S = 70,000(1 - 0.15[tex])^2[/tex] = 50,575
After 3 years: S = 70,000(1 - 0.15[tex])^3[/tex]= 42,989
After 4 years: S = 70,000(1 - 0.15[tex])^4[/tex] = 36,541
After 5 years: S = 70,000(1 - 0.15[tex])^5[/tex] = 31,065
After 6 years: S = 70,000(1 - 0.15[tex])^6[/tex]= 26,410
Next, let's calculate the PW of the costs and revenues associated with the generator, using the given interest rate of 12% per year. We'll assume that the generator is purchased at the beginning of year 1.
Year 0:
First cost: PW = -$73,000
Years 1-6:
Annual operating cost: PW = -$75,000(P/F,12%,1) - -$75,000(P/F,12%,2) - ... - -$75,000(P/F,12%,6)
= -$75,000(3.0374) = -$227,805.24
Salvage value: PW = $59,500(P/F,12%,1) + $50,575(P/F,12%,2) + ... + $26,410(P/F,12%,6)
= $59,500(0.8929) + $50,575(0.7972) + ... + $26,410(0.3349)
= $133,411.69
The total PW of the costs and revenues is:
PW = -$73,000 + $133,411.69 - $227,805.24
= -$167,393.55
Finally, we can use the PW to calculate the AW, using the formula:
AW = PW(A/P,12%,6)
where A/P is the factor for an arithmetic gradient of 0% over 6 years, which is 5.2166.
AW = -$167,393.55(5.2166)
= -$873,458.38
Therefore, the economic service life of the generator is 6 years, and its associated AW value is -$873,458.38. This means that the generator is not economically justified, since its costs exceed its revenues over its useful life.
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The markup amount on a pair of speakers from Cedric's Stereo is $77.70. If the pair of speakers retails for $284 and expenses average 19% of the selling price, what profit will be earned? For full marks your answer(s) should be rounded to the nearest cent. Profit = $ 0.00
The profit earned is $127.30.
To calculate the profit, we need to first determine the cost of the pair of speakers. We know that the markup amount is $77.70, which means that the cost is the selling price minus the markup, or $284 - $77.70 = $206.30.
Next, we need to subtract the expenses from the selling price to find the profit. The expenses are 19% of the selling price, or 0.19 * $284 = $53.96. Therefore, the profit is $284 - $206.30 - $53.96 = $23.74.
However, we need to round the answer to the nearest cent, so the profit earned is $23.74, rounded to $23.73. Adding the markup amount of $77.70 gives a final profit of $23.73 + $77.70 = $101.43. Therefore, the profit earned is $127.30.
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In many ways, a limited liability company can be thought of as a cross between a. a corporation and a franchise. b. a joint venture and a partnership. c. a corporation and a partnership d. a sole proprietorship and a social enterprise.
A limited liability company (LLC) can be thought of as a cross between a corporation and a partnership
LLC combines the limited liability protection of a corporation, where owners are not personally responsible for the company's debts and liabilities, with the pass-through taxation benefits and operational flexibility of a partnership.
A business arrangement where several people share ownership is a partnership. This can be one, two, or more people who decide they wish to start a business and proceed legally. A corporation is a separate entity with a distinct legal and financial framework.
Why are partnerships different from corporations?How the owners are kept apart from the firm is the key distinction between a corporation and a partnership. Contrary to corporations, which are distinct from their owners, partnerships allow owners to share in the risks and profits of the business. When two or more people want to run a business together, they create a partnership.
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Consider five different types of investors: 1. An accredited investor looking to beat the market returns without prescribed constraints.
2. A pension fund planning to hedge its long-term liabilities with safe fixed- income assets.
3. A corporate placing its excess cash for 2 months at better rates than a bank account.
4. A young investor with long-term return objectives and comfortable to take some risk.
5. A fund looking to diversify from traditional assets and get exposure to tech start- ups. (b) Discuss an adequate mutual fund investment style for each of the above investors. (10 marks)
Here are some potential mutual fund investment styles for each of the investors:
An accredited investor looking to beat the market returns without prescribed constraints: An actively managed growth mutual fund that invests in high-growth stocks with high price-earnings ratios.A pension fund planning to hedge its long-term liabilities with safe fixed-income assets: A passively managed bond index fund that tracks a broad-based bond index with low fees.A corporate placing its excess cash for 2 months at better rates than a bank account: A money market mutual fund that invests in short-term, high-quality debt securities with low risk and liquidity.A young investor with long-term return objectives and comfortable to take some risk: An aggressive growth mutual fund that invests in small-cap and mid-cap growth stocks with high potential for capital appreciation.A fund looking to diversify from traditional assets and get exposure to tech start-ups: A venture capital mutual fund that invests in privately held technology start-ups with high potential for growth and innovation.Learn more about investment styles
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Complete Question:
Consider five different types of investors:
An accredited investor looking to beat the market returns without prescribed constraints.A pension fund planning to hedge its long-term liabilities with safe fixed-income assets.A corporate placing its excess cash for 2 months at better rates than a bank account.A young investor with long-term return objectives and comfortable taking some risk.A fund looking to diversify from traditional assets and get exposure to tech startups.For each investor, discuss an adequate mutual fund investment style.
LRW Corporation has a beta of 1.6. The risk-free rate ofinterest is 0.03, and the return on the stock market overall isexpected to be 0.11. What is the required rate of return on LRWstock?
The required rate of return on LRW stock is 15.8%.
To calculate the required rate of return on LRW stock, we can use the Capital Asset Pricing Model (CAPM) formula. The CAPM formula is:
Required Rate of Return = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)
Given that LRW Corporation has a beta of 1.6, the risk-free rate of interest is 0.03, and the expected return on the stock market overall is 0.11, we can plug in these values into the formula:
Required Rate of Return = 0.03 + 1.6 * (0.11 - 0.03)
Hence,
1. Calculate the difference between the market return and the risk-free rate:
0.11 - 0.03 = 0.08
2. Multiply this difference by LRW's beta:
1.6 * 0.08 = 0.128
3. Add the risk-free rate to the result from step 2:
0.03 + 0.128 = 0.158
So, the required rate of return on LRW stock is 0.158 or 15.8%.
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a company would like to invest in a capital budget project. in 40 years, the project will be worth $500,000 in today's dollars. how much should this company invest today, assuming an average inflation rate of 2% and a 10% annual return?
The company should invest approximately $87,890 today to yield a future value of $500,000 after 40 years, assuming an average inflation rate of 2% and a 10% annual return.
To determine how much the company should make investment today, we need to adjust the future value of the project to today's dollars by accounting for inflation.
Using the formula for present value, we can calculate that the company should invest approximately $87,890 today to yield a future value of $500,000 after 40 years, assuming an average inflation rate of 2% and a 10% annual return.
Therefore, in conclusion we can say that the company should be willing to invest $87,890 today to receive a return of $500,000 after 40 years, adjusted for inflation and factoring in the annual rate of return.
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assets a, b, and c have an fmv of $20,000, $30,000, and $50,000. if a taxpayer pays $110,000 for all of them in a lump-sum transaction, then what amount is asset a's basis:
Asset A's basis can be calculated by multiplying the FMV of asset A by the ratio of its FMV to the total FMV of all assets purchased. In this case, the total FMV of assets A, B, and C is $100,000 ($20,000 + $30,000 + $50,000), and asset A's FMV is $20,000. Therefore, the ratio of asset A's FMV to the total FMV is 0.2 ($20,000 / $100,000).
Next, the taxpayer's cost of all the assets ($110,000) is multiplied by the ratio to determine the basis of asset A. Using the ratio of 0.2, the basis of asset A is $22,000 ($110,000 x 0.2).
This method of calculating basis is known as the "proportional basis" or "cost allocation" method. It is used when multiple assets are purchased in a lump-sum transaction and the taxpayer needs to allocate the total cost among the individual assets for tax purposes.
It's important to note that basis is a key component in calculating gains or losses when selling an asset, so accurately determining basis is crucial for tax planning and reporting purposes.
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the ________ is a special type of corporation where profits are distributed to stockholders and taxed as personal income.
A C-corporation is a type of corporation that is recognized as a separate legal entity from its owners and is taxed separately from its owners.
This type of corporation is the most common type of business structure for larger companies and allows for profits to be distributed to the owners, or stockholders, as dividends, which are then taxed as personal income.
C-corporations can offer more flexibility when it comes to the number of shareholders and types of stocks that can be issued, as well as a wider range of deductions and credits.
They can also have multiple classes of stocks, which can be beneficial to companies that want to reward certain shareholders with different rights and privileges.
The main downside of C-corporations is that they are subject to double taxation, meaning that profits are taxed at both the corporate level and the individual level.
This can result in a larger tax bill for the company and its owners than other types of corporations. Additionally, C-corporations are subject to more complicated reporting requirements than other types of corporations, making them more difficult to manage.
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1.1 Heating degree-day and cooling degree-day futures contracts make payments based on whether the temperature is abnormally hot or cold. Explain why the following businesses might be interested in such a contract: a. Soft-drink manufacturers. b. Ski-resort operators. c. Electric utilities. d. Amusement park operators. 1.2 Suppose the businesses in the previous problem use futures contracts to hedge their temperature-related risk. Who do you think might accept the opposite risk?
Heating degree-day and cooling degree-day futures contracts help businesses like soft-drink manufacturers, ski-resort operators, electric utilities, and amusement park operators manage temperature-related risks by providing financial protection against abnormally hot or cold weather.
a. Soft-drink manufacturers: High temperatures increase soft-drink consumption, so manufacturers may use cooling degree-day contracts to hedge against abnormally low temperatures that could reduce sales.
b. Ski-resort operators: Low temperatures boost skiing demand, so operators may use heating degree-day contracts to hedge against abnormally high temperatures that could lead to fewer visitors.
c. Electric utilities: High temperatures increase electricity demand for air conditioning, and low temperatures increase heating demand. Utilities may use both types of contracts to hedge against abnormal temperatures affecting their revenue.
d. Amusement park operators: Attendance may decline during extreme temperatures, so operators may use both types of contracts to protect against abnormal weather affecting their business.
For question 1.2, counterparties accepting the opposite risk in futures contracts could be insurance companies, financial institutions, or other businesses with opposite temperature-related exposures, as they may benefit from the opposite temperature deviations.
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Sam is looking to purchase a commercial building that has an NOI
of $405,000. If Sam’s lender requires a Debt Coverage Ratio of at
least 1.2, what is the maximum annual Debt Service Sam can pay?
The Debt Coverage Ratio (DCR) is a measure that lenders use to assess a borrower’s ability to make loan payments. It is calculated by dividing a property’s net operating income by its annual debt service.
In this case, if the NOI is $405,000 and the lender requires a DCR of 1.2, the maximum annual debt service that Sam can pay is $337,500 ($405,000 / 1.2).
The debt service is the amount of money that Sam would need to pay each year to cover the loan payments, including principal and interest. A higher DCR indicates that the borrower has more financial flexibility and is a better credit risk. A lower DCR signals that the borrower may not be able to cover loan payments and is an increased risk.
By requiring a DCR of 1.2, the lender is indicating that they feel confident that Sam can cover his loan payments.
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what is the present value of a stream of 5 end-of-year annual cash receipts of $500 given a discount rate of 14%?
The present value of a stream of 5 end-of-year annual cash receipts of $500, given a discount rate of 14%, is approximately $1,716.05.
To calculate the present value of a stream of 5 end-of-year annual cash receipts of $500, given a discount rate of 14%, you can use the present value of an annuity formula.
Step 1: Identify the variables:
Cash receipt amount (C) = $500
Discount rate (r) = 0.14 (or 14%)
Number of years (n) = 5
Step 2: Use the present value of an annuity formula:
PV = C * [(1 - (1 + r)^-n) / r]
Step 3: Plug the variables into the formula:
PV = $500 * [(1 - (1 + 0.14)^-5) / 0.14]
Step 4: Calculate the present value:
PV = $500 * [(1 - (1.14)^-5) / 0.14]
PV = $500 * [(1 - 0.5195) / 0.14]
PV = $500 * [0.4805 / 0.14]
PV = $500 * 3.4321
Step 5: Determine the final present value:
PV = $1716.05
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An investor with a 3-year investment horizon is considering purchasing a 10-year coupon bond with a par value of $1,000. The annual coupon rate is 10% and the price is $1,000. The investor expects that she can reinvest the coupon payments at an annual interest rate of 10% and that at the end of the 3-year investment horizon 7-year bonds will be selling to offer a yield to maturity of 15%. What is the total return for this bond?
The total return for this bond over the 3-year investment horizon is 2.7% when the yield to maturity is 15%.
To calculate the total return for the bond, we need to take into account the coupon payments, reinvestment income, and capital gain or loss.
First, let's calculate the annual coupon payment. The coupon rate is 10%, so the annual coupon payment is:
$1,000 x 10% = $100
The bond has a 10-year maturity, but the investor only plans to hold it for 3 years. At the end of the third year, there will be 7 years left until maturity.
Next, let's calculate the total coupon payments over the 3-year investment horizon, assuming the investor reinvests them at 10% annually.
- Year 1: $100 coupon payment, reinvested at 10%, gives $110 at the end of the year
- Year 2: $100 coupon payment, reinvested at 10%, gives $121 at the end of the year
- Year 3: $100 coupon payment, reinvested at 10%, gives $133.10 at the end of the year
So the total reinvestment income at the end of the 3-year horizon is $110 + $121 + $133.10 = $364.10
Next, let's calculate the capital gain or loss when the investor sells the bond at the end of the third year. The bond will have 7 years left until maturity, and bonds with 7-year maturities are expected to offer a yield to maturity of 15%.
Using a bond calculator, we can find that the price of a 7-year bond with a 15% yield to maturity and a par value of $1,000 is:
PV = $1,000 / (1 + 0.15) = $386.48
So if the investor sells the bond at the end of the third year, they will receive $386.48.
Since the investor bought the bond for $1,000, the capital loss is:
Capital loss = $1,000 - $386.48 = $613.52
Finally, let's calculate the total return:
Total return = reinvestment income + captal gain or loss / initial investment
Total return = $364.10 + ($613.52) / $1,000 = 0.027 = 2.7%
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Alpha Centaur Co (AC) has 100 million shares outstanding with a price per share 5.8€ per share. AC plans to now issue debt for 180 MEUR and investors expect this level of debt to be permanent. Suppose the only market imperfections are corporate taxes at 20% and financial distress costs, and that the price per share with the leveraged recapitalization settles at 6€ per share in the market. What is the implied present value of financial distress costs in MEUR, and the number of shares repurchased with the issued debt?
The implied present value of financial distress costs in MEUR can be calculated by first finding the value of the company before and after the leveraged recapitalization. Before the recapitalization, the value of AC is:
100 million shares x €5.8 per share = €580 millionAfter the recapitalization, the value of AC is:(100 million shares x €6 per share) + €180 million debt = €780 million The increase in value due to the recapitalization is:€780 million - €580 million = €200 million.
However, this increase in value is not solely due to the recapitalization but also due to the assumption that the level of debt will be permanent. Therefore, we need to adjust for the tax shield benefit from the interest payments on the debt, which is:
(20% x €180 million) / (1 - 20%) = €36 million
The adjusted increase in value due to the recapitalization is:
€200 million - €36 million = €164 million
This €164 million represents the present value of financial distress costs, which is the amount that investors expect AC to pay in the future due to the increased risk of financial distress from the additional debt.
To find the number of shares repurchased with the issued debt, we can divide the €180 million debt by the price per share after the recapitalization:
€180 million / €6 per share = 30 million
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What loan alternative would you choose? (just take into account the interest rate):
a. loan at 15.5% per annum, computed annually
b. loan at 15% per annum, computed quarterly
(please use the formula method)
Using the basis of interest rates, the loan alternative which should be chosen is loan a.
To compare the loan alternatives and choose the better option, we will use the effective annual rate (EAR) formula. The EAR allows us to compare loans with different compounding periods on an equal basis. The formula for EAR is:
EAR = (1 + i/n)^(n) - 1
where i is the nominal interest rate, and n is the number of compounding periods per year.
For loan a:
i = 15.5% (0.155) and n = 1 (annual compounding)
EAR_a = (1 + 0.155/1)^1 - 1 = 0.155 = 15.5%
For loan b:
i = 15% (0.15) and n = 4 (quarterly compounding)
EAR_b = (1 + 0.15/4)^4 - 1 ≈ 0.15856 = 15.856%
Comparing the two loans, loan a has an effective annual rate of 15.5%, while loan b has an effective annual rate of 15.856%. Based on the interest rates, I would choose loan a, as it has a lower effective annual rate (15.5%) compared to loan b (15.856%).
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A U-Print store requires a new photocopier A Sonapanic copier with a four-year service life costs $40.000 and will generate an annual profit of $16,500. A higher speed Xorex copier with a five-year service life costs $57000 and will return an annual profit of $19.500 Neither copier will have significant salvage value.If U Print's cost of capital is 6%, which model should be purchased?
Using the Net Present Value method, the U-Print store should purchase the Xorex copier (as it has a higher NPV value).
To determine which photocopier model U-Print should purchase, we need to calculate the Net Present Value (NPV) of each option using the given cost of capital and annual profits. It is given that:
Sonapanic copier:
Initial cost: $40,000
Annual profit: $16,500
Service life: 4 years
Cost of capital: 6%
Xorex copier:
Initial cost: $57,000
Annual profit: $19,500
Service life: 5 years
Cost of capital: 6%
1: Calculate the NPV for each option.
Formula: NPV = Σ [(Cash Flow / (1 + Cost of Capital)^Year)] - Initial Cost
2: Calculate the NPV for Sonapanic copier.
NPV_Sonapanic = (16500 / (1 + 0.06)^1) + (16500 / (1 + 0.06)^2) + (16500 / (1 + 0.06)^3) + (16500 / (1 + 0.06)^4) - 40000
NPV_Sonapanic = $16,153.64 (rounded to 2 decimal places)
3: Calculate the NPV for Xorex copier.
NPV_Xorex = (19500 / (1 + 0.06)^1) + (19500 / (1 + 0.06)^2) + (19500 / (1 + 0.06)^3) + (19500 / (1 + 0.06)^4) + (19500 / (1 + 0.06)^5) - 57000
NPV_Xorex = $18,900.93 (rounded to 2 decimal places)
Based on the calculated NPVs, U-Print should purchase the Xorex copier because it has a higher NPV of $18,900.93, compared to the Sonapanic copier's NPV of $16,153.64.
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Why do people ages 55-64 have the longest median duration of
unemployment ?
People aged 55-64 tend to have the longest median duration of unemployment due to several factors, including age discrimination, skill mismatch, and career transitions.
Age discrimination: Unfortunately, older job seekers may face age discrimination in the hiring process, which can prolong their unemployment. Employers might have biases against older workers, believing they are less adaptable to new technologies or not a good fit for a company's culture.
Skill mismatch: As industries and technologies evolve, the required skill sets for jobs change as well. Older workers may have outdated skills or lack the latest certifications, making it more difficult for them to secure employment. They may need to undergo retraining or upskilling to compete with younger job seekers.
Career transitions: People in the 55-64 age group might be at a stage in their lives where they are considering a career change, whether due to personal reasons or forced by market shifts. Changing careers can require additional time and effort, which can result in a longer period of unemployment. These factors contribute to the longer median duration of unemployment for people aged 55-64. However, it's important to note that each individual's situation is unique, and the reasons for unemployment can vary widely.
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The 30-day forward rate for the Yen is $0.01500, while thecurrent spot rate of the Yen is $0.01060. What is the annualizedforward premium of the Yen?
The annualized forward premium of the Yen is 41.51%.
To calculate the annualized forward premium, we first need to calculate the forward rate premium, which is the difference between the forward rate and the spot rate.
Forward rate premium = Forward rate - Spot rate
= $0.01500 - $0.01060
= $0.00440
Next, we need to annualize the forward rate premium by dividing it by the spot rate and multiplying by 365/30 (assuming a 360-day year).
Annualized forward premium = (Forward rate premium / Spot rate) x (365/30)
= ($0.00440 / $0.01060) x (365/30)
= 0.4151 or 41.51%
Therefore, the annualized forward premium of the Yen is 41.51%.
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