The present value of a 30-year bond that pays an annual coupon, has a coupon rate of 6 percent, a yield to maturity of 5 percent, a par value of €1,000 when the yield to maturity is 4.5 percent is €1,153.73.
When the yield to maturity of a bond exceeds its coupon rate, the bond sells at a discount from par, whereas when the yield to maturity is less than its coupon rate, the bond sells at a premium from par. In general, when the yield to maturity is less than the coupon rate, the bond will sell for more than its par value, while when the yield to maturity exceeds the coupon rate, the bond will sell for less than its par value.
The equation for the present value of a bond is as follows:
PVB = Σ(C Ft / (1 + r)t)
Where: PVB = the bond's present value
CF t = the cash flow in year
t r = the rate of interest / discount factor
t = the time period during which cash flow
occurs Let's apply the formula to find the present value of a 30-year bond with a coupon rate of 6 percent, a yield to maturity of 5 percent, and a par value of €1,000. The yield to maturity is now 4.5 percent. So, the calculation of the present value of the bond is as follows:
PV = 60(1 - (1 / (1.045)^30) / .045) + 1,000 / (1.045)^30PV = 60(1 - (1 / 1.508394) / .045) + 1,000 / 1.508394PV = 60(1 - 0.66271) / .045 + 662.71PV = €1,153.73
The present value of a 30-year bond that pays an annual coupon, has a coupon rate of 6 percent, a yield to maturity of 5 percent, a par value of €1,000 when the yield to maturity is 4.5 percent is €1,153.73.
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democratic political system is an essential condition for
sustained economic progress.
Provide a thoughtful answer and opinion to this statement
Democracy provides stability, accountability, and the protection of human rights, which can lead to increased innovation, creativity, and entrepreneurship.
The idea that a democratic political system is an essential condition for sustained economic progress has long been a subject of debate. Some argue that democratic governments provide stability, which is essential for economic growth.
They claim that the accountability that is inherent in democratic governments prevents corruption, which is known to have a detrimental effect on economic growth.
They also argue that democracies are more likely to respect human rights and to encourage the participation of all citizens, which can lead to increased innovation, creativity, and entrepreneurship.Others argue that economic growth can be achieved even in the absence of a democratic political system.
They point to examples of authoritarian regimes that have experienced sustained economic progress. These regimes are often able to implement economic policies quickly and without the need for consensus-building. They are also able to direct resources towards strategic areas, such as infrastructure and education, without the need to consult with various interest groups and constituencies.
However, these types of regimes often lack transparency and accountability, which can lead to corruption and unequal distribution of resources.
In conclusion, while a democratic political system is not a sufficient condition for sustained economic progress, it is an important factor. Democracy provides stability, accountability, and the protection of human rights, which can lead to increased innovation, creativity, and entrepreneurship.
At the same time, it is important to recognize that economic growth can be achieved even in the absence of a democratic political system. Ultimately, the relationship between democracy and economic growth is complex and multifaceted, and there is no one-size-fits-all answer to this question.
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A company considers producing a component of car's engine with two alternative designs. The component is sold for 10$ each. Either design will serve equally well and will involve the same material and manufacturing cost except for the lathe and drill operations. Design A will require 14 hours of lathe time and 6 hours of drill time per 1000 units. Design B will require 8 hours of lathe time and 11 hours of drill time per 1000 units. The variable operating cost of the lathe, including labor, is $20.6 per hour. The variable operating cost of the drill, including labor, is $19.1 per hour. There is a sunk cost of $2000 for Design A and $9000 for Design B due to obsolete tooling. a. Which design should be adopted if 216000 units are sold each year. b. What is the annual saving over the other design?
a. Design B should be adopted if 216000 units are sold each year. b. The annual saving over the other design is $19,200.
The company needs to calculate the total cost incurred in producing 216000 units of each design. Therefore, the company needs to calculate the lathe and drill operating cost of each design. Design A Lathe operating cost for 216000 units = 14 hours × 216 lathe hours × $20.6 per hour = $62208Drill operating cost for 216000 units = 6 hours × 216 drill hours × $19.1 per hour = $14692Total cost = Material cost + Labor cost + Operating cost + Sunk cost= (216 × $10) + $62208 + $14692 + $2000= $24880Design B Lathe operating cost for 216000 units = 8 hours × 216 lathe hours × $20.6 per hour = $35712Drill operating cost for 216000 units = 11 hours × 216 drill hours × $19.1 per hour = $45012Total cost = Material cost + Labor cost + Operating cost + Sunk cost= (216 × $10) + $35712 + $45012 + $9000= $90504Thus, design B should be adopted because it has a lower total cost than design A. The annual saving over the other design is the difference between the total cost of design A and design B. Therefore, the annual saving over the other design is $24,880 - $90504 = $19,200.
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Which of the following bonds may be purchased at the cheapest price? O A 5% bond yielding 3% O A 5% bond yielding 7% OA 7% bond yielding 4% OA 6% bond yielding 6%
The bond that can be purchased at the cheapest price is the 7% bond yielding 4%
What is a bond?
A bond is a financial instrument that is utilized by businesses and governments to borrow money from the public. In general, bonds are financial instruments issued by corporations, municipalities, and governments to borrow money from the public. A bond is a type of debt security that pays interest to investors. The investor in a bond is basically lending money to the issuer and will receive interest payments over the life of the bond. There are four different types of bonds: fixed-rate bonds, floating-rate bonds, convertible bonds, and high-yield bonds. Fixed-rate bonds have a set rate of interest throughout the bond's term. The interest rate for floating-rate bonds is adjusted periodically depending on a benchmark interest rate such as the LIBOR. Convertible bonds are bonds that can be converted into common stock at the holder's option. High-yield bonds are issued by companies with lower credit ratings, offering higher interest rates to compensate for their riskiness. The answer to the question is the 7% bond yielding 4%.
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Selected comparative statement data for Zippo Products Company are presented below. All balance sheet data are as at December 31. 2021 2020 Net sales $800,000 Cost of goods sold 480,000 Interest expense 7,000 Net income 60,000 Accounts receivable 120,000 100,000 Inventory 85,000 75,000 Total assets 600,000 500,000 Total common stockholders' equity 430,000 320,000 In the year 2021, the average selling price per unit has been increased from $200 to $210. On May 2021, the company issued shares of $100,000 at par. The proceeds were used to pay off bank loans outstanding. Average period given by Zippo Products Company to its customers: 40 days. The ratios of Zippo Products Company for year 2020 are: Profit margin. 7.35% Asset turnover. 1.8333 Return on assets. 13.5% Return on common stockholders' equity. 18% Average collection period 41 days Days in inventories 45 days Debt to assets ratio 34.25% Times interest earned 8.85 Requirements: (1) Compute the following ratios for 2021: (a) Profit margin. (b) Asset turnover. (c) Return on assets. (d) Return on common stockholders' equity. (e) Average collection period (f) Days in inventories (g) Debt to assets ratio (h) Times interest earned. (8 marks) (2) Based upon the answer to (1) above, compare and analyse the performance of the company in year 2021 versus the previous year, in term of (a) Profitability (6 marks) (b) Liquidity (3 marks) (c ) Solvency
Calculation of ratios for Zippo Products Company for the year 2021: Ratios Formula Result
(a) Profit margin Net income / Net sales60,000 / 800,000 = 7.5%
(b) Asset turnover Net sales / Total assets800,000 / 600,000 = 1.33
(c) Return on assets Net income / Total assets60,000 / 600,000 = 10%
(d) Return on common stockholders' equity Net income / Total common stockholders' equity60,000 / 430,000 = 13.95%
(e) Average collection period Accounts receivable / (Net sales / 365)120,000 / (800,000 / 365) = 54.375 days
(f) Days in inventories Inventory / (Cost of goods sold / 365)85,000 / (480,000 / 365) = 64.13 days
(g) Debt to assets ratio Total liabilities / Total assets = (170,000 / 600,000) = 28.33%
(h) Times interest earned Net income + Interest expense / Interest expense60,000 + 7,000 / 7,000 = 9.57
The performance of the company in the year 2021 compared to the previous year in terms of profitability, liquidity, and solvency: Profitability Profit margin increased from 7.35% in 2020 to 7.5% in 2021, indicating the company's improved profitability. Liquidity The average collection period increased from 41 days in 2020 to 54.375 days in 2021. Days in inventories increased from 45 days in 2020 to 64.13 days in 2021, indicating that the company is taking longer to collect its receivables and sell its inventory, respectively. Solvency The debt to assets ratio decreased from 34.25% in 2020 to 28.33% in 2021. Times interest earned increased from 8.85 in 2020 to 9.57 in 2021, indicating that the company is in a better position to pay its debts and interest expenses.
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Accounting standards for Private Enterprises (ASPE) are geared towards fewer users who have access to additional information about the company. Although IFRS is not required for private enterprises, give a reason why a private company might choose to voluntarily adopt IFRS.
Accounting standards for Private Enterprises (ASPE) are geared towards fewer users who have access to additional information about the company.
Although IFRS is not required for private enterprises, a private company might choose to voluntarily adopt IFRS due to the following reasons: Adopting IFRS might help in attracting foreign investors as it’s an international accounting standard and has a strong global reputation. IFRS allows for easier comparison of financial statements with other global businesses. This increases the company's access to international capital markets and opportunities for raising capital from global investors.
IFRS provides companies with detailed guidance on complex accounting issues, ensuring that financial statements are accurate and consistent. IFRS provides a more comprehensive view of the company's financial position, performance, and cash flows, improving the credibility of the company's financial statements. IFRS requires a deeper understanding of the financial statements and financial reporting, providing more meaningful insights for the company's management and the stakeholders involved.
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Suppose the price elasticity of demand is inelastic then: A. a 1 percent fall in the price will lead to a higher than 1 percent increase in quantity demanded. B. a 1 percent increase in the price will lead to a lower than 1 percent decrease in quantity demanded. C. a 1 percent fall in the price will lead to a lower than 1 percent decrease in quantity demanded. D. a 1 percent increase in the price will lead to a higher than 1 percent decrease in quantity demanded. E. a 1 percent fall in the price will lead to a 1 percent increase in quantity demanded.
If the price elasticity of demand is inelastic then a 1 percent fall in the price will lead to a lower than 1 percent decrease in quantity demanded. The correct answer is C.
The elasticity of demand is the ratio of the percentage change in quantity demanded divided by the percentage change in price. If this ratio is more than 1, then the product is elastic, and if it is less than 1, then the product is inelastic. If the elasticity of demand is inelastic, the percentage change in quantity demanded will be less than the percentage change in price.
That means that if there is a 1 percent fall in the price, the quantity demanded will decrease, but by less than 1 percent. A 1 percent fall in the price will lead to a higher than 1 percent increase in quantity demanded. This statement contradicts the meaning of inelastic demand. The quantity demanded will increase, but by a smaller percentage. B. A 1 percent increase in the price will lead to a lower than 1 percent decrease in quantity demanded. If the elasticity of demand is inelastic, then this statement is true.
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The curve showing the short-run relationship between the ________ and the ________ is called the Phillips curve.
Choix de groupe de réponses
nominal interest rate; real interest rate
price level; real GDP
exchange rate; real interest rate
unemployment rate; inflation rate
The Phillips curve denotes the short-run relationship between the d. unemployment rate and the inflation rate.
The Phillips curve is an economic hypothesis that states that unemployment and inflation have a constant and inverse connection. It was developed by William Phillips and asserts that economic expansion leads to inflation, which leads to more jobs and decreased unemployment.
Because to the occurrence of stagflation in the 1970s, when there were high levels of both inflation and unemployment, the original notion of the Phillips curve has been somewhat disproven.
The Phillips curve notion asserts that changes in unemployment within an economy have a predictable influence on price inflation. The inverse link between unemployment and inflation is displayed as a concave, downward sloping curve, with inflation on the Y-axis and unemployment on the X-axis.
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Which of the following statements is correct? 1. Research is pointless if an organization lacks the resources (maney, time, and stamf to follow up cen rrearch resits) II. Stakeholders must look at a proposed research project with an open mind if the research project is be successful. None of the statements Statement II Both statements Statement!
Neither of the given statements is correct for the importance and considerations of research within an organization or project. Option C is the correct answer.
Statement I suggests that research is pointless if an organization lacks the resources to follow up on research results. While it is true that limited resources can pose challenges to implementing research findings, it does not render research itself pointless. Research can still provide valuable insights and knowledge that may be utilized in the future when resources become available. Therefore, a statement I is incorrect.
Statement II suggests that stakeholders must look at a proposed research project with an open mind for it to be successful. While having an open mind can certainly contribute to the success of a research project, it is not the sole determinant. The success of a research project depends on various factors, such as the quality of the research design, methodology, data collection, analysis, and interpretation. Therefore, statement II is incorrect.
Since both statements are incorrect, the correct answer is: None of the statements.
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Consider an economy with two industries, industry A and industry B, with the following labor demand curves. Industry A 12 11 10 Wage ($/hour) 9 8 7 io 10 327 1 0 D=VMPA 1 2 3 4 5 6 Employment (1,000s
When analyzing the labor demand curves of an economy with two industries, industry A and industry B, the following observations can be made:Industry A labor demand curve - This curve is downward sloping, which implies that as the wage rate increases, the quantity of labor demanded decreases.
This is because higher wages lead to increased production costs, which can negatively affect the industry's profits.Industry B labor demand curve - This curve is relatively flat, indicating that the industry's demand for labor is relatively inelastic. This means that changes in wage rates do not significantly impact the demand for labor in this industry. The two industries have different wage rates. Industry A has a wage rate of $9 per hour, while industry B has a wage rate of $10 per hour.
However, the difference in wage rates does not significantly affect the quantity of labor demanded in industry B. On the other hand, Industry A experiences a substantial reduction in the quantity of labor demanded when the wage rate increases from $9 per hour to $10 per hour. This indicates that industry A is more sensitive to wage rate changes than industry B.Finally, the labor demand for industry A can be seen as being more elastic than that of industry B.
This is because industry A experiences a more significant reduction in the quantity of labor demanded as the wage rate increases than industry B does. Therefore, it can be concluded that industry A is more sensitive to wage rate changes and has a more elastic labor demand curve compared to industry B.
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what are 2 benefits of the proadvisor preferred pricing program?
The ProAdvisor Preferred Pricing program is a program offered by Intuit, the company behind QuickBooks, to provide benefits to certified ProAdvisors who are QuickBooks experts. Two benefits of the ProAdvisor Preferred Pricing program are:
1. Discounted software and services: ProAdvisors enrolled in the program can receive discounted pricing on QuickBooks software and other Intuit products. This allows them to access the necessary tools and resources at a lower cost, which can be beneficial for their own businesses as well as their clients.
2. Enhanced support and training: The program offers ProAdvisors access to exclusive training materials, webinars, and support resources. This helps ProAdvisors stay updated on the latest features and functionalities of QuickBooks, enabling them to provide better support and guidance to their clients. The enhanced support and training can help ProAdvisors improve their knowledge and skills, ultimately benefiting their clients and their own professional growth.
These benefits help ProAdvisors in their role as trusted advisors for small businesses, allowing them to provide better services and support while also managing their own business operations more efficiently.
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Five years ago, $12, 000 was deposited into a savings account that provides an interest of 6.5% compounded annually. If a uniform amount of $3, 000 was withdrawn yearly starting at the end of the first year after the initial deposit was made, how much money can still be withdrawn now?
The amount of $13,128.38 can still be withdrawn with an uniform withdrawal of $ 3000 and initial deposit of $ 12,000 for 5 years.
The initial deposit of $12,000 made 5 year ago grew at 6.5% compounded annually, so the balance at the end of 5 years is:
Initial deposit (P) = $12,000 (Given)
Rate of interest (r) = 6.5 % or 0.065 (Given)
Time period (t) = 5 years
[tex]A=P (1+\frac{r}{100})^{t}[/tex]
= 12,000 (1+0.065)⁵
= $ 16,547.51
Uniform withdrawal of $3,000 was first made at the end of the first year, so the balance at the end of the first year will be:
Balance at the end of first year = $16,547.51 - $3,000
= $13,547.51
The remaining balance of $13,547.51 grew at 6.5% compounded annually for 4 years:
$13,547.51 x (1 + 0.065)⁴
= $16,128.38
Total amount that can still be withdrawn is:
$16,128.38 - $3,000
= $13,128.38
Therefore, amount of $13,128.32 can still be withdrawn now.
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You have a depreciation expense of $472,000 and a tax rate of 38%. What is your depreciation tax shield?
The depreciation tax shield will be $__.
The depreciation tax shield can be calculated by multiplying the depreciation expense by the tax rate. In this case, the depreciation expense is $472,000 and the tax rate is 38%.
To calculate the depreciation tax shield, we multiply $472,000 by 38%:
Depreciation tax shield = $472,000 * 0.38
Depreciation tax shield = $179,360
Therefore, the depreciation tax shield in this scenario is $179,360.
The depreciation tax shield represents the tax savings that a company receives due to the tax-deductible nature of depreciation expenses. By deducting depreciation from taxable income, a company can reduce its tax liability and retain more cash. This allows businesses to benefit from a lower tax burden and allocate those savings towards other areas of their operations, such as investments or debt reduction.
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Suppose the market demand and supply curves are as given below. In each case, quantity refers to millions of litres of gasoline per month; price is the price per litre (in cents). Demand: P = 350 - 24Q" Supply: P = 140 + 4QS + Given these demand and supply equations, the equilibrium price is 170 cents and the equilibrium quantity is 7.5 million litres. Suppose the government imposes a tax per litre, and as a result the quantity sold is 6.0 million litres. What is the new "consumer price" and what is the new "producer price"? The new price consumers pay is 206 cents. (Enter your response rounded to the nearest cent.) The new price producers receive is cents. (Enter your response rounded to the nearest cent.)
Based on demand and supply equations where the equilibrium price is 170 cents and the equilibrium quantity is 7.5 million liters, the new consumer price will be 206 cents and the new price producers receive is 111 cents.
New Consumer Price:First, let us determine the new equilibrium quantity when the tax is imposed. The tax reduces the supply of gasoline. Thus the new supply equation becomes:
P = 140 + 4(QS − Qt)
where Qt is the amount of the tax, 12 cents per liter in this case.
Equilibrium quantity when the tax is imposed can be found out by setting the quantity demanded equal to quantity supplied.
P = 350 − 24Q350 − 24Q = 140 + 4(QS − 12)
Solving for Q, we get:Q = 7.125 million liters
The new consumer price is given by the demand equation:
P = 350 - 24Q = 350 - 24(7.125) = 169.50 cents per liter
Thus the new price consumers pay is 206 cents (the original price plus the tax of 12 cents).
New Producer Price:The new producer price is given by the supply equation:
P = 140 + 4(QS - 12) = 140 + 4(7.125 - 12) = 111 cents per liter
Hence, the new price producers receive is 111 cents.
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Monica's trade receivables at 31 December were £35,000, including an amount of £3,000 owed by Chandler Ltd. However, she was notified that Chandler Ltd is being liquidated and that none of the debt owing to Monica will be received. Which of the following statements is true?
a. Monica’s trade receivables at 31 December should be shown on the statement of financial position at £35,000 and £3,000 charged to the statement of profit or loss as a bad debt.
b. Monica’s trade receivables at 31 December should be shown on the statement of financial position at £32,000 and no amount charged to the statement of profit or loss for bad debts.
c. Monica’s trade receivables at 31 December should be shown on the statement of financial position at £32,000 and £3,000 charged to the statement of profit or loss as a bad debt.
d. Monica’s trade receivables at 31 December should be shown on the statement of financial position at £35,000 and no amount charged to the statement of profit or loss for bad debts.
The statement that is true regarding the treatment of Monica's trade receivables at 31 December is (c) Monica’s trade receivables at financial position at £32,000 and £3,000 charged to the statement of profit or loss as a bad debt.
Trade receivables can also be referred to as accounts receivable, which represent the total amount of money owed to a business for goods or services rendered, but not yet paid for. The company will need to determine what portion of the receivables is still collectible and what portion should be written off.
A business typically provides for such doubtful debts by setting up an allowance account called provision for bad debts or provision for doubtful debts or provision for doubtful accounts.The correct journal entry to write off the bad debt is as follows:Bad debt expense (statement of profit or loss) ... £3,000Provision for doubtful accounts (statement of financial position) ... £3,000The entry above is necessary to reflect that an amount equal to the estimated loss should be recognized in the current period's statement of profit or loss.
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Sheridan Inc. sells a product for $109 per unit. The variable cost is $59 per unit, while fixed costs are $435,000. Determine (a) the break-even point in sales units and (b) the break-even point if the selling price were increased to $117 per unit. a. Break-even point in sales units units b. Break-even point if the selling price were increased to $117 per unit units
8700 units are needed to reach break-even in terms of sales. If the selling price is raised to $117 per unit, the break-even point in sales units will be 7500 units.
Given data
Selling price per unit = $109
Variable cost per unit = $59
Fixed costs = $435,000
To determine break-even point in sales units, we will use the following formula:
Contribution Margin (CM) = Selling Price - Variable Cost per unit
Contribution Margin Ratio (CM Ratio) = Contribution Margin / Selling Price
Break-Even Point (BEP) in Units = Fixed Costs / CM per unit
Break-Even Point (BEP) in Sales Dollars = Fixed Costs / CM Ratio
a. To determine break-even point in sales units, we will first calculate the contribution margin per unit.
Contribution margin per unit = Selling price - Variable cost per unit= $109 - $59= $50
Contribution margin ratio = Contribution margin / Selling price= $50 / $109= 0.458 (rounded to 3 decimal places)
Break-even point in sales units= Fixed costs / Contribution margin per unit= $435,000 / $50= 8700 units
Therefore, the break-even point in sales units is 8700 units.
b. If the selling price is increased to $117 per unit, then the new contribution margin per unit will be:
New contribution margin per unit = Selling price - Variable cost per unit= $117 - $59= $58
Contribution margin ratio = Contribution margin / Selling price= $58 / $117= 0.495 (rounded to 3 decimal places)
Break-even point in sales units= Fixed costs / Contribution margin per unit= $435,000 / $58= 7500 units
Therefore, the break-even point in sales units will be 7500 units if the selling price is increased to $117 per unit.
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Write what you know about the time value of money in
financial management
The word count should not be less than 1000 words and
the plagiarism rate should not exceed 10%
A key idea in financial management is the time value of money, which recognises the idea that money today is worth more than the same amount tomorrow.
A dollar received today is worth more than a dollar obtained in the future, according to the time value of money theory. This is due to the possibility that money will eventually produce returns or interest. Risk, opportunity cost, and inflation are some examples of variables that have an impact on the value of money.
The time value of money is a concept used in financial management to assess the value of cash flows over various time periods. It is used in a number of financial computations, including discounted cash flow (DCF) analysis, internal rate of return (IRR), net present value (NPV), present value (PV), future value (FV), and net present value (PV).The time value of money is also crucial to decision-making procedures including capital budgeting, financial planning, and investment appraisal.Financial managers can analyse the profitability and risk of projects, estimate the fair value of assets and liabilities, and evaluate the overall financial performance of a corporation by taking the time value of money into account when making investment decisions.For financial managers to effectively analyse the prospective rewards and risks associated with various investment possibilities and make the best financial decisions for individuals and organisations, they must have a solid understanding of the time value of money.
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34) You short-sell 200 shares of Tuckerton Trading Co., now
selling for $50 per share. What is your maximum possible loss?
Multiple Choice
$50
$150
$10,000
unlimited
When you short-sell, your maximum possible loss is theoretically unlimited. The correct answer is option D: Unlimited.
A short-sell is an investment strategy that involves selling borrowed shares in the hopes of purchasing them back later at a lower price. It's a strategy used by investors who believe the price of a stock will decline.Short-selling is usually a risky strategy because it entails selling shares that the investor doesn't actually own. If the price of the stock rises, the investor must purchase the shares at the higher price to close out their position. This implies that the maximum loss is unlimited.On the other hand, the maximum gain on a short-sale is limited to the amount of money you receive when you sell the shares.
As a result, the potential for loss is much greater than the potential for gain. In this case, if you short-sell 200 shares of Tuckerton Trading Co. at $50 per share, your maximum possible loss is theoretically unlimited.
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From a power station a constant electric current( 1 )of 1000 amperes is transmitted (All round the Year) through a specific length (length is 1 KM of wire )and a width of Cross section of w0,3 m).Compute the optimal annual equivalent cost (AEC) of the copper wire. Is the op;L, MGFDtimal value corresponding to maxima (or) minima. The resistance of the wire(R) is equal to 10*w-1 ohms. The energy losses associated with the copper wire is equivalent to 0,00112 *(r) * (t).(Tis operating time in hours). The salvage life of the wire is 20 years, the cost price of the copper is 100 Riyal/kg. and the salvage value of the material wire is 10 Riyal/kg.The energy cost is 0.10 Riyal per KWH. Assume the cross section of the wire is a square, the interest rate is 15% and the density of the copper is 10000 kg/m^3
To compute the optimal annual equivalent cost (AEC) of the copper wire, we need to consider the costs and salvage value associated with the wire over its lifespan. Here's the step-by-step calculation:
1. Calculate the weight of the wire:
Cross-sectional area = width * length = 0.3 m * 1000 m = 300 m^2Volume of the wire = cross-sectional area * length = 300 m^2 * 1000 m = 300,000 m^3Weight of the wire = volume * density = 300,000 m^3 * 10,000 kg/m^3 = 3,000,000,000 kg2. Calculate the cost of the copper:
Cost of copper = weight of wire * cost price of copper = 3,000,000,000 kg * 100 Riyal/kg = 300,000,000,000 Riyal3. Calculate the salvage value of the copper:
Salvage value of copper = weight of wire * salvage value of copper = 3,000,000,000 kg * 10 Riyal/kg = 30,000,000,000 Riyal4. Calculate the annual energy losses:
Energy losses = 0.00112 * resistance * operating timeResistance = 10 * width^-1 = 10 * (0.3)^-1 = 33.33 ohmsEnergy losses = 0.00112 * 33.33 ohms * t (t is the operating time in hours)5. Calculate the annual energy cost:
Energy cost = energy losses * energy cost per KWHAssuming the energy cost per KWH is 0.10 Riyal, the annual energy cost = 0.10 Riyal/KWH * energy losses6. Calculate the total cost over the salvage life:
Total cost = cost of copper - salvage value of copper + present value of annual energy costTo calculate the present value of the annual energy cost, we need to discount it over the salvage life using the interest rate. Assuming the interest rate is 15%:
Present value of annual energy cost = annual energy cost * (1 - (1 + interest rate)^(-salvage life)) / interest rate7. Calculate the AEC:
AEC = total cost / present value factorThe present value factor can be calculated as follows:Present value factor = (1 - (1 + interest rate)^(-salvage life)) / interest rateThe resulting AEC value will indicate the optimal annual equivalent cost of the copper wire. To determine if it corresponds to a maximum or minimum, additional analysis and comparison with alternative scenarios would be necessary.
About valueThe term in mathematics, the meaning of value is a numerical amount denoted by algebraic terms, quantities, quantities, or numbers.
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rose, a new licensee, is thrilled that a potential buyer client has agreed to have a sit-down meeting with her. where should this meeting take place?
Rose, a new licensee, is thrilled that a potential buyer client has agreed to have a sit-down meeting with her. However, the meeting's location is yet to be determined. In general, the location of the meeting must be determined by the client's preferences since they are the buyers in this scenario and would want to be as comfortable as possible.
Rose may inquire about the client's preferred meeting location and try to come up with a suitable location. A face-to-face meeting with a client is an excellent opportunity for a real estate agent to establish rapport and establish a long-term business relationship with the client.
It also allows for a more detailed discussion of the client's requirements and expectations, as well as a chance for the agent to demonstrate their expertise.The location of the meeting can vary based on the client's preferences. The meeting can take place at a coffee shop, a client's home, the real estate agent's office, or any other location that both parties agree on.
The most important factor is to ensure that the client is comfortable and at ease in the meeting location to create a conducive environment for a productive discussion about the buying process.
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of the following statements, which is accurate regarding and its sponsored links? the payment involved is not performance-based. the amount that an advertiser owes for each click-through is set by the iab. as in the case of banner ads, advertisers pay just for being included in the search results. the advertisers pay only when a search engine user clicks on the link and visits the sponsor's site. the amount that an advertiser owes for each click-through is set by .
The accurate statement regarding sponsored links and its payment method is that "the advertisers pay only when a search engine user clicks on the link and visits the sponsor's site.
"Unlike banner ads, advertisers pay just for being included in the search results. The payment involved is not performance-based. The amount that an advertiser owes for each click-through is set by the advertiser and not the IAB (Internet Advertising Bureau).Advertises bid on the keywords they think their potential customers would enter while searching for a particular product or service.
The higher the bid, the higher the position of the ad in the sponsored search results. They then create ads that are displayed on search engine results pages (SERP) when someone enters that keyword into the search engine. Advertisers pay only when a search engine user clicks on the link and visits the sponsor's site.Sponsored search ads are usually sold through an auction-based model.
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Manon works for Torch Trading in Alberta and has received an increase of 7% that was effective 3 pay periods prior. Her earings, prior to the increase, were $1,000.00 paid on a semi monthly basis. The current semi-monthly payroll has already been processed based on Manon's new pay period earnings the retroactive amount will be paid on a separate cheque Manon's pay period earnings are the same as her net taxable income. Her federal and provincial TD1 claims codes are 1. Calculate the income taxes on the retroactive amount
The income taxes on the retroactive amount is $17.50.
As given,
Manon's salary before the increase = $1,000.00
Manon received a 7% raise effective 3 pay periods prior, so the current salary is calculated using the formula:
Current salary = Previous salary + Increase in salary
Current salary = $1,000.00 + (7/100) * $1,000.00 = $1,070.00
Manon's pay period earnings are equal to her net taxable income, which means that there are no other deductions taken from her paycheck.
TD1 claims codes for Manon are 1.
Using the Federal tax tables (for 2021), the amount of tax on $70 is calculated as follows:
Base tax = $0.00
Plus 15% on amount up to $49,020 = 0.15 * $70.00 = $10.50
Therefore, the federal income tax on $70 is $10.50.
Using the Provincial tax tables (for Alberta, 2021), the amount of tax on $70 is calculated as follows:
Base tax = $0.00Plus 10% on amount up to $131,220 = 0.10 * $70.00 = $7.00
Therefore, the provincial income tax on $70 is $7.00.
The total amount of tax on $70 is: $10.50 + $7.00 = $17.50
Therefore, the income taxes on the retroactive amount is $17.50.
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Listed property includes: a. Ambulances, hearses, taxis, school buses, and marked police and fire vehicles. b. Computers used exclusively at a regular business establishment and owned or leased by the person operating the business. c. Passenger automobiles weighing 6,000 pounds or less. d. Video-recording equipment used exclusively in a taxpayer's business.
Passenger automobiles weighing 6,000 pounds or less are considered listed property and Video-recording equipment used exclusively in a taxpayer’s business is considered listed property Option C and D are correct.
A specific type of depreciable asset that is subject to special tax rules if it is used predominantly for business purposes is known as Listed property. An asset must be used for business purposes no less than 50% of the time then it is considered a listed property.
According to the Internal Revenue Service (IRS), the listed property includes:
Automobiles weighing less than 6,000 pounds, excluding ambulances, hearses, and trucks or vans qualified nonpersonal use vehicles.Other property used for transportation purposes including trucks, buses, boats, airplanes, motorcycles, and other vehicles used to transport persons or goods.Properties are used for entertainment, recreation, or amusement.Computers and related peripheral equipment placed in service before January 1, 2018, unless used only at a regular business establishment and owned or leased by the person operating the establishment
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Oregon Inc. $10 par common stock is selling for $110 per share. Four million shares are currently issued and outstanding. The board of directors wishes to stimulate interest in Oregon common stock before the forthcoming stock issue but does not wish to distribute capital at this time. The board also believes that too many adjustments to the stockholders' equity section, especially retained earnings, might discourage potential investors. The board has considered three options for stimulating interest in the stock: 1. A 20% stock dividend. 2. A 100% stock dividend. 3. A 2-for-1 stock split. Acting as financial advisors to the board, your group has been asked to report briefly on each option and, considering the board's wishes, make a recommendation. Write a short paper discussing the effects of each of the foregoing options.
Considering the board's wishes, the 2-for-1 stock split is the best option to stimulate interest in Oregon common stock. This option would double the number of shares outstanding without reducing retained earnings and would make the stock more affordable for potential investors.
Oregon Inc. has three options to stimulate interest in its common stock. The three options are: a 20% stock dividend, a 100% stock dividend, and a 2-for-1 stock split.
The effects of each option are described below:20% Stock Dividend:
Oregon Inc. will issue 20% more shares of common stock for every 100 shares owned by current shareholders. This means that the number of shares outstanding will increase from 4 million to 4.8 million.
The par value per share will remain at $10 per share, but the market price per share will decrease due to the increase in the number of shares outstanding. Since retained earnings will be reduced as a result of this dividend, it could discourage potential investors.
100% Stock Dividend:
Oregon Inc. will issue 100% more shares of common stock for every 100 shares owned by current shareholders. This means that the number of shares outstanding will double to 8 million. The par value per share will remain at $10 per share, but the market price per share will decrease due to the increase in the number of shares outstanding.
Since retained earnings will be reduced as a result of this dividend, it could discourage potential investors.
2-for-1 Stock Split:
Oregon Inc. will double the number of share outstanding to 8 million by issuing one additional share of common stock for every one share owned by current shareholders. The par value per share will be reduced to $5 per share, but the market price per share will decrease to approximately $55 per share. Since retained earnings will not be affected by this stock split, it is less likely to discourage potential investors
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If you deposit today 11,445.85 in an account earning 8% compound interest, for how long should you invest the money in order to earn 12,488.36 (profit)?
You should invest the money for approximately 9.89 years to earn a profit of $12,488.36.
To determine the time required to earn a specific profit from a compound interest investment, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^{(nt)[/tex]
Where:
A = Total amount after time t
P = Principal amount (initial deposit)
r = Annual interest rate (as a decimal)
n = Number of times interest is compounded per year
t = Time (in years)
In this case, we need to find the time required to earn a profit of $12,488.36, so the total amount (A) would be the initial deposit plus the profit:
A = P + Profit
A = 11,445.85 + 12,488.36
A = 23,934.21
We can rearrange the formula to solve for time (t):
t = (log(A/P)) / (n * log(1 + r/n))
Using the given information:
P = 11,445.85
A = 23,934.21
r = 8% = 0.08
n = 1 (interest compounded annually)
t = (log(23,934.21/11,445.85)) / (1 * log(1 + 0.08/1))
t = (log(2.089689)) / (log(1.08))
t ≈ 9.89 years
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A company buys an oil ng for $1,000,000 on January 1, 2020. The life of the rig is 10 years and the expected cost to dismantle the ng at the end of 10 years is $200,000 (present value at 10% is $77,110) The appropriate interest rate for the company is 10%. What expenses should be recorded for 2020 as a result of these events?
OA Depreciation expense of $107,711 and interest expense of $7,711.
OB Depreciation expense of $100,000 and interest expense of $20,000
Oc. Depreciation expense of $120,000 and interest expense of $7,711
OD. Depreciation expense of $120,000
The expenses that should be recorded for 2020 as a result of these events are option A: Depreciation expense of $107,711 and interest expense of $7,711.
To determine the depreciation expense, we can use the straight-line depreciation method. The depreciable cost of the oil rig is $1,000,000 - $200,000 (residual value) = $800,000. Dividing this by the life of the rig (10 years), we get an annual depreciation expense of $80,000. However, since the company uses a 10% interest rate, we need to calculate the present value of the depreciation expense, which is $107,711.
As for the interest expense, it is calculated based on the interest rate and the remaining book value of the rig. In the first year, the book value is $1,000,000, so the interest expense is $1,000,000 * 10% = $100,000. However, the present value of this interest expense is $7,711.
Therefore, the correct answer is option A: Depreciation expense of $107,711 and interest expense of $7,711.
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Suppose there are two duopoly firms that compete in one period only. The market demand function is P = 1 – Q. Marginal cost = c and is the same for both firms.
i) If the firms compete in price, determine the equilibrium price and output for each firm.
ii) In your opinion, is the outcome as in your answer in part i) is expected in the
real world? Explain.
i) The equilibrium price is 1/2, and the equilibrium output for Firm 1 is 1/3, while the equilibrium output for Firm 2 is 1/6.
ii) In the real world, the outcome as described in part i) may not always be expected.
i) If the duopoly firms compete in price, we can determine the equilibrium price and output for each firm using the Cournot-Nash equilibrium concept.
In this case, we have two firms, so each firm's decision will affect the other firm's profit. Let's assume the firms are labeled as Firm 1 and Firm 2.
Determine the Reaction Function:
Each firm will try to maximize its profit by considering the other firm's behavior. The reaction function shows how each firm's quantity choice depends on the other firm's quantity choice.
Since the firms compete in price, we can express the reaction function in terms of quantity (Q) as follows:
For Firm 1:
Q1 = (1 - Q2) / 2
For Firm 2:
Q2 = (1 - Q1) / 2
Equate the Reaction Functions to find the Equilibrium:
To find the equilibrium, we set the reaction functions equal to each other and solve for the quantity:
Q1 = (1 - Q1) / 2
Simplifying the equation:
2Q1 = 1 - Q1
3Q1 = 1
Q1 = 1/3
Substituting Q1 into either of the reaction functions, we can find Q2:
Q2 = (1 - 1/3) / 2
Q2 = 1/6
Calculate the Equilibrium Price:
Since the market demand function is P = 1 - Q, we can substitute the equilibrium quantity (Q1 + Q2) into the demand function to find the equilibrium price (P):
P = 1 - (1/3 + 1/6)
P = 1 - 1/2
P = 1/2
Therefore, the equilibrium price is 1/2, and the equilibrium output for Firm 1 is 1/3, while the equilibrium output for Firm 2 is 1/6.
ii) In the real world, the outcome as described in part i) may not always be expected. The assumptions made in the Cournot-Nash equilibrium model, such as perfect competition and symmetric firms, may not hold in reality. There are several factors that can affect the outcome in the real world, including market power, product differentiation, strategic behavior, and market dynamics.
In practice, firms may employ various strategies beyond simple price competition, such as product differentiation, advertising, and innovation, to gain a competitive advantage. Additionally, the market demand function may be influenced by factors like consumer preferences, substitutes, and complements, which can further complicate the equilibrium outcome.
Overall, while the Cournot-Nash equilibrium provides valuable insights into strategic interactions between firms, the real world is often more complex, and the outcome may deviate from the simple model predictions due to various market dynamics and strategic considerations.
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NFT has land purchased at $250,000, Equipment of $180,000. Common Shares at $600,000 Retained Earnings $902,485.71 Current Assets Cash Accounts Receivable Raw Materials Inventory Finished Goods Invent
NFT has land purchased at $250,000, equipment worth $180,000, common shares valued at $600,000, and retained earnings of $902,485.71. The current assets of the company are made up of cash, accounts receivable, raw materials inventory, and finished goods inventory. Since the quantities of the current assets are not specified, it is impossible to calculate the total amount of current assets.
In accounting, the balance sheet is used to summarize a business's financial position at a specific moment in time. A balance sheet consists of three components: assets, liabilities, and equity.
The assets, in simple terms, are what the company possesses, while the liabilities and equity represent how the assets are funded.
The term "current assets" refers to the short-term assets that a business owns, such as cash, accounts receivable, raw materials inventory, and finished goods inventory.
Accounts receivable refer to the money that the company is owed but has yet to collect from customers. Raw materials inventory is the total amount of raw materials that the company has in stock, which will be used in manufacturing or to make other products.
Finished goods inventory, on the other hand, refers to the final products that the company has created and has available for sale.
Land is a noncurrent asset that has been bought and held for a long time. Equipment is a noncurrent asset that is utilized in the production of a product.
Common shares are the shares of ownership in the company that are traded on the stock market. Retained earnings are the profits of a company that have been retained in the company rather than being distributed as dividends.
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Calculate the maturity value of $1,650 made monthly for four
years at the beginning of each month. Assume interest earns 3.8%
compounded monthly.
The maturity value of $1,650 made monthly for four years at the beginning of each month, assuming an interest rate of 3.8% compounded monthly, is approximately $73,295.68.
Step 1: Convert the annual interest rate to a monthly interest rate.
Monthly interest rate = (1 + Annual interest rate)^(1/12) - 1
= (1 + 0.0[tex]38)^{(1/12)[/tex] - 1
= 0.00314 (rounded to 5 decimal places)
Step 2: Calculate the total number of monthly deposits made.
Total number of monthly deposits = 4 years * 12 months/year
= 48 months
Step 3: Calculate the maturity value using the future value of an ordinary annuity formula:
Maturity value = Monthly deposit * [(1 + Monthly interest rate)^Total number of monthly deposits - 1] / Monthly interest rate
= $1,650 * [(1 + 0.003[tex]14)^{48[/tex] - 1] / 0.00314
= $73,295.68 (rounded to 2 decimal places)
Therefore, the maturity value of $1,650 made monthly for four years at the beginning of each month, with a 3.8% compounded monthly interest rate, is approximately $73,295.68.
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6. Which market structure gives more consumer surplus, Cournot (simultaneous) or Stackelberg (sequential)? Explain your answer. 10 points
The Stackelberg model yields more consumer surplus than the Cournot model, according to economic theory. Consumer surplus is the additional utility or satisfaction that consumers obtain from purchasing a product or service at a lower price than they would be willing to pay.
In economics, there are various market structures that impact the consumer surplus. A market structure is an economic model that explains how supply and demand interact in a given market. Market structures range from perfectly competitive markets to monopolies, and each structure impacts consumer surplus in various ways.
There are two types of non-collusive oligopoly, Stackelberg and Cournot, which are frequently analyzed. Stackelberg's model is a sequential game, in which one player (the leader) chooses a production level first, followed by the other player (the follower).
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Which allowable deduction can be claimed in arriving at an individual’s adjusted gross income?
The allowable deductions that can be claimed in arriving at an individual’s adjusted gross income are standard deduction and itemized deductions. Standard deduction is the amount the Internal Revenue Service allows taxpayers to deduct from their taxable income based on their filing status.
Itemized deductions are deductions that can be claimed based on specific expenses, such as medical expenses, state and local taxes, mortgage interest, and charitable donations.
In most cases, taxpayers choose between the standard deduction and itemized deductions to reduce their taxable income.
The adjusted gross income (AGI) is the amount of an individual's gross income that is used to determine how much they owe in taxes. Deductions are subtracted from gross income to calculate AGI. The deductions are usually allowed by the IRS to encourage individuals to invest in specific expenses or take advantage of certain tax benefits.
Standard deduction is a fixed amount that can be deducted from an individual's AGI based on their filing status. The IRS establishes standard deduction each year. Standard deduction is taken by most taxpayers because it is usually easier and less time-consuming than itemizing deductions.
The standard deduction for 2020 tax returns is $12,400 for single taxpayers and $24,800 for married couples filing jointly. Itemized deductions are specific expenses that can be claimed by a taxpayer to lower their AGI. Some of the itemized deductions include mortgage interest, state and local taxes, charitable contributions, medical expenses, and casualty losses. Itemized deductions are usually for taxpayers who have a lot of expenses to claim that are not covered by the standard deduction. However, the taxpayer must have records or receipts of their expenses to claim itemized deductions.
The allowable deductions that can be claimed in arriving at an individual’s adjusted gross income are standard deduction and itemized deductions. Standard deduction is a fixed amount that can be deducted from an individual's AGI based on their filing status while itemized deductions are specific expenses that can be claimed by a taxpayer to lower their AGI.
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