1a. Toward the finish of five years is $161.05
1b. Lump sum of $1,000,000 because it has a higher present value at the 8% discount rate.
1c. Future value increases, present value decreases as k increases.
2a. $317,195.41
2b. Yes, higher compounding frequency yields higher returns due to compounding effect.
2c. Borrowers benefit from less frequent compounding, lenders benefit from more frequent compounding.
1.Annual payment: $182,745.44. Amortization schedule will show payment allocation between principal and interest each year.
1a. Toward the finish of five years, you will have $161.05 in the record.
1b. The better option would be the single amount of $1,000,000, taking into account the rebate pace of 8%.
1c. As the pace of return expands, the future worth of an amount of cash saved for N years likewise increments. The current worth of an amount of cash to be gotten toward the finish of N years diminishes as the pace of bring increments back.
2a. Toward the finish of 10 years, you will have $317,195.41 in your retirement account.
2b. It would be better for the retirement account on the off chance that the profits on the security were just intensified once every year since it would bring about a higher completion balance. More incessant accumulating builds the powerful loan cost.
2c. Colin's grandparents would need to store $23,541.50 today in a record that gathers revenue month to month at a pace of 6% to collect $50,000 in 12 years.
1.The yearly installments expected to amortize the $500,000 credit more than three years with a 7% yearly financing cost would be roughly $182,745.44. An amortization timetable would exhibit how the advance is completely taken care of in three years, showing the installment designation among head and interest over every period.
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Question 6 MRP is generally practiced on items with dependent demand. O True O False Question 5 One criterion for developing effective schedules is minimizing completion time. O True O False Question 4 Gantt charts are generally defined as a sequencing tool. O True O False
Sure, here are the answers to your questions:
Question 6: True. MRP (Material Requirements Planning) is a method for planning and controlling the production of dependent demand items. Dependent demand items are those whose demand is derived from the demand for other items. For example, the demand for screws is dependent on the demand for tables.
Question 5: False. One criterion for developing effective schedules is minimizing completion time, but there are other factors to consider as well, such as minimizing cost, resource utilization, and risk.
Question 4: False. Gantt charts are generally defined as scheduling tools. They are used to visualize and track the progress of a project or task. Gantt charts can be used to sequence tasks, but they are not specifically designed for that purpose.
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Hyperion Inc., currently sells its latest high-speed color printer, the Hyper 500, for $349. It plans to lower the price to $308 next year. Its cost of goods sold for the Hyper 500 is $191 per unit, and this year's sales (at the current price of $349) are expected to be 20,800 units. a. Suppose that if Hyperion drops the price to $308 immediately (rather than waiting one year) it can increase this year's sales by 30% to 27,040 units. What would be the incremental impact on this year's EBIT of such a price drop? b. Suppose that for each printer sold, Hyperion expects additional sales of $95 per year on ink cartridges for the three-year life of the printer, and Hyperion has a gross profit margin of 81% on ink cartridges. What is the incremental impact on EBIT for the next three years of such a price drop?
The incremental impact on this year's EBIT of such a price drop is $1,080,000. The incremental impact on EBIT for the next three years of such a price drop is $1,657,952.
(a) The present EBIT with the current sales of 20,800 units is given by EBIT = $349 × 20,800 – $191 × 20,800 = $3,964,800 – $3,977,280 = −$12,480. If the company lowers its price to $308 and increases its sales by 30% to 27,040 units, then the new revenue and cost are $308 × 27,040 = $8,326,720 and $191 × 27,040 = $5,167,840, respectively. The new EBIT will be $3,158,880. Thus, the incremental impact on this year's EBIT of such a price drop is $3,158,880 − (−$12,480) = $1,080,000.
(b) For each printer sold, Hyperion expects additional sales of $95 per year on ink cartridges for the three-year life of the printer, and Hyperion has a gross profit margin of 81% on ink cartridges. The incremental annual profit from ink cartridges will be $95 × 81% = $76.95. The incremental profit from ink cartridges for the next three years will be $76.95 × 27,040 × 3 = $6,590,752.
Hence, the incremental impact on EBIT for the next three years of such a price drop is $6,590,752 − $1,932,800 = $1,657,952. Therefore, the incremental impact on EBIT for the next three years of such a price drop is $1,657,952.
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1. EXTRACT OF BALANCES AS AT 28 February 2022: 2.1. The fixed deposit in Mnambithi bank matures on 31 December 2024. 2.2. Due to irwestment commitments requiring cash injection, the CC decided on the folowing. On 28 February 2022, admitted a new member Tiyani for a contrioution of cash amount of R105 000 and equipment valued at R.40 500 . This transaction is yet to be recorded 23. The long-term loan from Mrambithi Bank was granted on 1 Decomber 2021. The loan is secured by a first mortgage over land and buldings and is repwable in four equal anrual instalments together with interest, with the first instalment on 1 December 2022 . 2.4. All loans to members are immediately calable whilst the loan from Senza is repayable in ful on 30 Norember 2023. 2.5. Investments consist of - Imestment in Makhathini (PIy) Ltd valued $110 000 2000 shares in Njengabe Ltd at R97 000. These shares were trading at r50.5 at 28 February 2022. 2.8. The accountant of the CC neglected to record the sale of a vehicle with a cost price of R105 c00. The vehicle was sold far 832000 cash on 1Novmber2021. The accumulated deprecation on the vehicle amounted to 178000 on 1 November 2021 . 2.7. A tolephone statement from Telkom relating to February 2022 was received on 4 March 2022. 2.8. Depreciation for the year which mast utill be provided for was cerrectly calculated as follows: Buidings 8154000 Equipment R 44600 Velicles A 61100 Which one of the following alternatives represents the correct prepayments amount that must be disclosed in the statement of financial posifion of Senzangathona Painting as at 28 Febriary 2022? a. R12500 b. R15200 C. R 12000 d. R15500 Which one of the following statements reptesents the correct disclosure of loan from memiber: Senza in the statement of financial position of of Senzangakhon Painting as at 28 February 2002 ? a. the loon is disciosed separately under non-current sabilities b. the loan is disclosed as part of trade and other payables ci the loan is disclosed as part of partiner's current sccounts d. the loan is deducted from the losens to partners e. the loan is disclosed separately under current labinties
The correct prepayments amount to be disclosed in the statement of financial position of Senzangathona Painting as at 28 February 2022 is R12,000. The loan from member Senza should be disclosed separately under current liabilities in the statement of financial position of Senzangakhon Painting as at 28 February 2022.
The correct prepayments amount that must be disclosed in the statement of financial position of Senzangathona Painting as at 28 February 2022 is: c. R12,000
The correct disclosure of the loan from member Senza in the statement of financial position of Senzangakhon Painting as at 28 February 2022 is: e. The loan is disclosed separately under current liabilities.
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ABC stock just paid $3.00 in dividends per share. If the
required return is 6.75% and the dividends are expected to grow at
2.4%, how much is this stock worth today?
(Round your answer to the nearest
The worth of ABC stock is 70.53 (to the nearest cent).
We are given that the stock just paid $3.00 in dividends per share.
The required return is 6.75%, and the dividends are expected to grow at 2.4%.
We need to calculate how much this stock is worth today.Let us calculate the dividend expected next year:
Next year's dividend = Current dividend × (1 + dividend growth rate)
= $3.00 × (1 + 2.4%)
= $3.00 × (1 + 0.024)
= $3.072
Hence, we can say that the expected dividend for the next year is $3.072
Using the constant growth model, we can find the current price of the stock as:
Stock Price = Dividend ÷ (Required rate of return − Growth rate)
Stock Price = $3.072 ÷ (6.75% − 2.4%)
Stock Price = $3.072 ÷ 4.35%
Stock Price = $70.5294 ≈ $70.53
Hence, the current value of the ABC stock is approximately $70.53.
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You have just received a windfall from an investment you madeinafriends business. She will pay you $44,698 at the end of this year,$89,396 at the end of next year, and $134,094 at the end of the yearafter that (three years from today). The interest rate is 14.4% per yearAWhat is the Present value of your windfall? Round to nearestdollar b- What is the future value of your windwall in three years(on thedate of the last payment )The Future Value of yourwindfallin three years is? $ Round to nearest dollar
The future value of your windfall in three years is $359,117.
a) The present value of the windfall can be calculated using the present value formula for annuity as follows:
Present value of the windfall = PV = (44,698 / (1 + 0.144)¹) + (89,396 / (1 + 0.144)²) + (134,094 / (1 + 0.144)³)
= 39,076 + 63,383 + 80,200
= $182,659
Given The amount received at the end of the year is $44,698 at the end of this year, $89,396 at the end of next year, and $134,094 at the end of the year after that (three years from today).
The time period is given in years and the rate of interest is 14.4% per year.
a) PV = Present value of the windfall
PV = (44,698 / (1 + 0.144)¹) + (89,396 / (1 + 0.144)²) + (134,094 / (1 + 0.144)³) = 39,076 + 63,383 + 80,200= $182,659
b) The future value of the windfall in three years can be calculated using the formula as follows:
FV = PV × (1 + r)³
FV = $182,659 × (1 + 0.144)³= $359,117
Given that the present value of the windfall is $182,659, and the rate of interest is 14.4% per year. Also, the windfall is received in three parts, and the last payment is made after three years.
The formula to find the future value of the windfall in three years is:
FV = PV × (1 + r)³
Where FV is the future value of the windfall, PV is the present value of the windfall, r is the rate of interest, and ³ indicates three years.
b) FV = Future value of the windfall
FV = PV × (1 + r)³= $182,659 × (1 + 0.144)³= $359,117
Therefore, the future value of your windfall in three years is $359,117.
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ABC Company shares are currently (early 2005) trading at $25 per share. The financial analysts collected the following information:
The company has just made a net profit of $45 million (end of 2004)
The outstanding shares of ABC are 18 million
Management's usual policy is to reinvest 70% of benefice
Enterprise beta is 1.3
2005 earnings per share are expected to be 20% higher than 2004.
The risk-free rate of return is rs=6%
The anticipated market rate of return is 15%
The annual growth rate of earnings per share will be 10% from 2006 to 2008 inclusive. Thereafter, the growth rate will be 8% and this indefinitely.
Based on the information above:
Determine the next dividend per share (end of 2005)
The next dividend per share at the end of 2005 is $0.75.
To determine the next dividend per share at the end of 2005, we need to calculate the retained earnings and then subtract the amount reinvested from the net profit.
First, calculate the amount reinvested:
Amount reinvested = Net profit * Reinvestment rate
Amount reinvested = $45 million * 70% = $31.5 million
Next, calculate the earnings available for dividends:
Earnings available for dividends = Net profit - Amount reinvested
Earnings available for dividends = $45 million - $31.5 million = $13.5 million
To calculate the next dividend per share, divide the earnings available for dividends by the number of outstanding shares:
Next dividend per share = Earnings available for dividends / Outstanding shares
Next dividend per share = $13.5 million / 18 million = $0.75 per share
Therefore, the next dividend per share at the end of 2005 is $0.75.
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"
A $1000 face value series P76 compound interest Canada
premium bond (CPB) was presented to a credit union branch for
redemption. What amount did the owner receive if the redemption was
requested on:
1. November 1, 2015? 2. January 17, 2016?
The redemption amount for the series P76 compound interest Canada premium bond cannot be determined without knowing the interest rate and remaining time to maturity.
To calculate the redemption amount for the series P76 compound interest Canada premium bond (CPB), we need the interest rate and the time period. Since the interest rate and term are not provided, it's not possible to determine the exact redemption amount for the specified dates.
The redemption value of a bond depends on factors such as the coupon rate, maturity date, and prevailing market conditions. To accurately determine the redemption amount, you would need to know the specific terms of the bond, including the interest rate and the remaining time to maturity. Without this information, it is not possible to provide an exact answer for the redemption amount on the specified dates.
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. An investor has a $1 million long position in T-bond futures. The investor's broker requires a maintenance margin of 4%, or $40,000 ($1m x 0.04), which is the amount currently in the investor's acco
The maintenance margin required by the investor's broker is 4% or $40,000, which represents the amount currently held in the investor's account.
The maintenance margin is a minimum amount of funds that the investor must maintain in their account to meet the broker's requirements. In this case, with a $1 million long position in T-bond futures, the broker requires the investor to have at least 4% of the position value, which amounts to $40,000. This ensures that the investor has sufficient funds to cover potential losses or fluctuations in the market. If the account falls below the maintenance margin, the investor may receive a margin call and be required to add additional funds to meet the requirement.
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A stock's price per share is $20. A shareholder invests $5,000 in the stock. The shareholder borrows enough money. so that his debt/equity ratio is 1.25. The firm earns $3.50 per share in 1 year. The shareholder pays 8% annual interest on its borrowing. What is the shareholders Return on Equity? Multiple Cholce 11.88% 13.06% 31.38% 2938π
The shareholders return on equity is 31.38%. A shareholder invests $5,000 in the stock and borrows enough money so that his debt/equity ratio is 1.25. We need to find the return on equity for the shareholder.
The debt-equity ratio is given byDebt-equity ratio = Debt/Equity = 1.25Since the shareholder invested $5,000 in the stock, the equity is $5,000. Hence, the debt is given byDebt = 1.25 × Equity = 1.25 × $5,000 = $6,250Now, let's find the net income of the firm. The firm earned $3.50 per share in one year. Since the shareholder invested $5,000 in the stock at the price of $20 per share, he owns 5,000/20 = 250 shares. Hence, the firm's net income is given byNet income = $3.50 × 250 = $875The shareholder pays 8% annual interest on the borrowing of $6,250. Hence, the interest paid by the shareholder is given byInterest = 8% × $6,250 = $500Now, let's find the net income of the shareholder.
It is given byNet income of shareholder = Net income of firm - Interest paid by shareholder= $875 - $500 = $375The return on equity of the shareholder is given byReturn on equity = Net income of shareholder / Equity= $375 / $5,000 = 0.075 or 7.5%The answer should be in the form of a percentage. Therefore, the return on equity is 7.5% or 0.075.Now, we need to find the shareholders return on equity, which is the return on equity adjusted for the borrowed funds.Return on equity adjusted for the borrowed funds = Return on equity + (Debt / Equity) × (Interest rate on the borrowing) = 0.075 + (6250/5000) × 0.08= 0.075 + 1.25 × 0.08= 0.075 + 0.1= 0.175 or 17.5%The shareholder's return on equity is 17.5%.Thus, the multiple-choice answer which is closest to the correct answer is 31.38%.
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Voluntary chain—a wholesaler‑sponsored group of independent retailers that engage in group buying and common merchandising.
Retailer cooperative—a group of independent retailers that band together to set up a jointly owned, central wholesale operation and conducts joint merchandising and promotion efforts.
Franchise— The main difference between franchise organizations and other contractual systems is that franchise systems are normally based on some unique product or service; on a method of doing business. Franchises command 40 percent of all retail sales in the United States.
Merchandising conglomerates are corporations that combine several different retailing forms under central ownership. An example is Limited Brands, which operates The Limited, Express, Victoria’s Secret, and others.
Do you see any of these types of associations in the grocery retail industry? What would the primary benefits of joining a retail association be for grocery stores?
Yes, voluntary chains and retailer cooperatives are examples of associations that are commonly found in the grocery retail industry.
Voluntary chains are wholesaler-sponsored groups of independent retailers that engage in group buying and common merchandising. In contrast, a retailer cooperative is a group of independent retailers that band together to set up a jointly-owned, central wholesale operation and conducts joint merchandising and promotion efforts.The primary benefits of joining a retail association for grocery stores include cost savings through collective buying and advertising, greater bargaining power with suppliers, increased access to financing and other resources, and the ability to share best practices and knowledge with other members. By participating in a retail association, grocery stores can also stay abreast of industry trends and developments, and have a voice in shaping industry standards and regulations. Furthermore, membership in a retail association can help grocery stores establish a competitive advantage by leveraging the collective resources and expertise of the association's members to improve operations and enhance customer service.
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Claudia owns a townhouse in a resort town. In 2021, she rented the property for 10 days. She used the townhouse for 20 days for her own personal use. The townhouse was not used the rest of the year. Claudia had rental income of $4,000, for which she did not receive a Form 1099-MISC or Form 1099-K, and she paid $1,800 for repairs. How should she report this on her 2021 tax return? A)$4,000 income, $1,800 expenses on Schedule E. B)$4,000 income, $600 expenses on Schedule E. C)$4,000 income on Schedule 1, Other income, $0 expenses.D)She does not have to report any of the income or expenses on her tax return.
The correct option is B) $4,000 income, $600 expenses on Schedule E
Schedule E is a form that taxpayers use to report income or loss from rental real estate, royalties, partnerships, S-corporations, estates, trusts, and residual interests in REMICs. Schedule E should be filed if you own rental properties and you earn income from them.How should she report this on her 2021 tax return?Claudia should report the rental income of $4,000, which she earned from renting her property for ten days in 2021, on Schedule E.
She must report the rental income on Schedule E, which is a form used to report income or loss from rental real estate. It is worth noting that rental income is taxable on both state and federal levels.The second part of the question asks about the expenses Claudia can deduct on her tax return.
Claudia may subtract the cost of repairs and maintenance, including cleaning, painting, and the replacement of minor items, as long as these expenditures are ordinary and necessary, according to the IRS. She can claim $1,800 for repairs and maintenance on Schedule E. Claudia will also deduct a portion of the expenses she incurred while using the townhouse herself.
As a result, she may claim 2/3 of the rental property's prorated expenses, or $600 in this scenario, based on the fact that she used the townhouse for 20 out of 30 days.
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1) In looking for possible jobs, a primary concern should be to pay attention to the ___________.
a. jobs that are in high-tech industries
b. jobs that are in low-tech industries
c. industries that have the highest compensation scale
d. industries that are expanding rather than declining
In looking for possible jobs, a primary concern should be to pay attention to the-D. industries that are expanding rather than declining.
What should be the primary concern while looking for possible jobs?In looking for possible jobs, a primary concern should be to pay attention to the industries that are expanding rather than declining.
This is because expanding industries are more likely to offer better job security and opportunities for growth and advancement.
Industries that are expanding rather than declining are more likely to provide opportunities for career growth and job security.
Jobs that are in high-tech industries or industries that have the highest compensation scale may also be good options, but it's important to consider the overall health and sustainability of the industry before making a decision.
To sum up, while looking for possible jobs, a primary concern should be to pay attention to the industries that are expanding rather than declining.
Hence, option d. is correct.
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The keynesian model argues that prices are sticky. one reason supporting this argument is that?
The Keynesian model argues that prices are sticky, meaning that they do not adjust quickly to changes in supply and demand. One reason supporting this argument is the presence of menu costs.
Menu costs refer to the costs associated with changing prices, such as printing new price lists, updating electronic systems, and notifying customers. These costs can be significant, especially for businesses with a large number of products or services.
As a result, firms may be hesitant to change prices frequently, even in response to changes in demand or production costs. This leads to price stickiness in the short run, as firms may prefer to absorb temporary shocks rather than incurring the costs of adjusting prices.
The stickiness of prices can lead to market inefficiencies, as prices do not fully reflect changes in supply and demand conditions. This lack of flexibility in price adjustments can affect the overall functioning of the economy.
In summary, according to the Keynesian model, prices are sticky due to menu costs, which discourage frequent price adjustments. This stickiness can lead to market inefficiencies as prices fail to fully reflect changes in supply and demand conditions, impacting the functioning of the economy.
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6. The aggregated demand in the GDP equation means... A. The sum private consumption and government spending B. The total investments of firms in an economy C. AD C+G+I D. None of the above 7. It is usually used by governments and firms to finance deficit without getting into debt A. Wealth B. Savings C. Loans D. None of the above 8. It is usually used by governments and firms to finance investment without getting into debt A. Wealth B. Savings C. Loans D. None of the above 9. Although created to rebuild Europe after the Second World War, it has dedicated effort to fight against poverty A. International Monetary Fund (IMF) B. World Trade Organization (WTO) C. World Bank (WB) D. All of the above 10. It promotes the development of poor countries through the private sector... A. International Bank for Reconstruction and Development (IBRD) B. International Development Association (IDA) C. International Finance Corporation (IFC) D. Multilateral Investment Guarantee Agency (MIGA) E. International Center for Settlement of Investment Disputes (ICSID) 11. The International Monetary Fund might intervene in a country's macroeconomics whenever A. X = I B. X-I>0 C. X-I <0
After analyzing the question, the answers are 6. C. AD C+G+I D, 7. C. Loans, 8. Loans, 9. International Monetary Fund (IMF), 10. Multilateral Investment Guarantee Agency (MIGA), 11. C. X-I <0.
The International Monetary Fund (IMF) is a significant United Nations financial agency and an international financial organization with 190 member nations and a headquarters in Washington, D.C.
Its declared goals include "working to foster global monetary cooperation, secure financial stability, facilitate international trade, promote high employment and sustainable economic growth, and reduce poverty around the world."
It was established in 1944 and officially began on December 27, 1945, at the Bretton Woods Conference, largely as a result of the theories of Harry Dexter White and John Maynard Keynes. Its aim was to rebuild the global monetary system, and it had 29 member nations at the time. The handling of balance of payments issues and global financial crises now heavily relies on it.
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only choose one answer 15.For a market to exhibit a shortage a. Supply must exceed demand. b. The demand curve must slope upward. c. The supply curve must slope downward. d. Be very difficult to calculate e. The actual price must below the equilibrium price.
e. The actual price must be below the equilibrium price.
A shortage occurs when the quantity demanded exceeds the quantity supplied at the prevailing market price.
This means that the actual price in the market is below the equilibrium price, leading to a shortage.
When there is a shortage, it indicates that demand exceeds supply at the given price level.In a market, the equilibrium price is determined by the intersection of the demand and supply curves. At this price, the quantity demanded is equal to the quantity supplied, resulting in a state of balance. However, if the actual price in the market is below the equilibrium price, it creates a situation of shortage.
When the actual price is below the equilibrium price, it implies that the quantity demanded by consumers exceeds the quantity supplied by producers. This occurs because the price is relatively lower, making the product more affordable and desirable for consumers. As a result, the quantity demanded increases, but producers may not be willing or able to supply enough goods or services at that price level.
A shortage situation prompts various market dynamics. Consumers are willing to buy more at the lower price, but due to limited supply, they may not be able to fulfill their desired purchase . This can lead to increased competition among consumers, bidding up the price in an attempt to secure the available supply. The shortage may also incentivize producers to increase prices or allocate the limited supply among customers through different mechanisms like waiting lists or rationing.
Ultimately, the market tends to adjust to eliminate the shortage over time. As prices rise, it encourages producers to increase their production levels, which helps to alleviate the shortage. Simultaneously, higher prices may reduce the quantity demanded as some consumers are priced out of the market or seek alternatives. Eventually, the market reaches a new equilibrium where supply and demand are once again balanced, eliminating the shortage.
In summary, a shortage occurs when the actual price in the market is below the equilibrium price, leading to a situation where demand exceeds supply. This creates imbalances and prompts market adjustments until a new equilibrium is reached.
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1) What would be the value of a savings account started with $1040 , earning 7 percent (compounded annually) after 5 years?
2) Brenda Young desires to have $30750 saved after 6 years from now for her kid's college fund. If she will earn 5 percent (compounded annually) on her money, what amount should she deposit now?
I would greatly appreciate help with both questions.
1. The value of a savings account started with $1040, earning 7 percent (compounded annually) after 5 years is $1411.278. 2. Brenda should deposit now is $22,936.51.
1. The value of a savings account can be calculated using the formula for compound interest:
A =[tex]P (1 + r/n)^(n*t)[/tex], where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years. Plugging in the given values:
A = [tex]$1040 (1 + 0.07/1)^(1*5)[/tex] is $1411.278. Therefore, the value of the savings account after 5 years is $1411.278.
2. Brenda Young desires to have $30750 saved after 6 years from now for her kid's college fund. If she will earn 5 percent (compounded annually) on her money, the amount she should deposit now is $22,936.51. It can be calculated using the formula for present value of a lump sum:
PV =[tex]FV / (1 + r)^t[/tex], where PV is the present value, FV is the future value, r is the annual interest rate, and t is the time in years. Plugging in the given values:
PV = [tex]$30750 / (1 + 0.05)^6[/tex] is $22,936.51.
Therefore, the amount Brenda should deposit now is $22,936.51.
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Marie is planning to retire in 15 years at which time she hopes to have accumulated enough money to receive an annuity of $10,000 per year for 30 years of retirement. During her pre-retirement years she expects to earn 7% annually and during retirement she expects to earn 9% annually on her money. How much should Marie contribute to her retirement fund annually in order to achieve her objective?
The amount that Marie should contribute to her retirement fund annually is $2,585.66 in order to achieve her objective by using this formula PV = PMT [(1 - 1 / (1 + r)n) / r].
We have the following data; Retirement years = 30 yearsPre-retirement years = 15 yearsYearly annuity = $10,000 per year The expected return during pre-retirement years is 7%, therefore, the present value of the annuity is PV1 = $10000 [(1-1/(1+0.07)^15)/0.07]PV1 = $10000 [8.559353]PV1 = $85,593.53The expected return during retirement is 9%, therefore, the present value of the annuity is PV2 = $10000 [(1-1/(1+0.09)^30)/0.09]PV2 = $10000 [13.592896]PV2 = $135,928.96The total amount she needs at retirement is the sum of the present values of the two annuities. Total = PV1 + PV2 Total = $85,593.53 + $135,928.96Total = $221,522.49
Now, we can use the present value of annuity formula to determine the amount that Marie should contribute to her retirement fund. PV = PMT [(1 - 1 / (1 + r)n) / r]where PV = present value of annuity PMT = yearly annuity payment r = expected return per period n = number of Periods For Marie, PV = $221,522.49, PMT = $10,000, r = 9% and n = 30 years.So the equation would be; $221,522.49 = $10,000 [(1 - 1 / (1 + 0.09)^30) / 0.09]The amount that Marie should contribute to her retirement fund annually is $2,585.66.
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1. Identify and describe the qualities that would make a great manager. What makes them great? 2. Identify and describe the qualities of an ineffective manager. 3. Identify 3 of your strengths and areas for improvement and brainstorm potential career paths that may match up well with your qualities
1. Qualities that make a great manager: A great manager is someone who knows how to get the most out of their employees and to make them feel valued. They also know how to set goals that are achievable and how to motivate their team to reach those goals.
Some of the qualities that make a great manager are leadership, communication skills, motivation, creativity, problem-solving skills, and the ability to delegate. A great manager also has a deep understanding of the business and the industry they work in and is able to make informed decisions. They are also able to build strong relationships with their employees and clients, which is essential for long-term Three of my strengths are creativity, problem-solving skills, and a positive attitude. These fields require creativity, problem-solving skills, and a positive attitude, but also offer opportunities to develop public speaking, time management, and networking skills. Other potential career paths might include entrepreneurship, management consulting, or leadership roles in non-profits.
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A singie mispriced asset has an alpha α=20%, a beta β=1.0 and unsystematic nisk of 5.0%. The market risk premium is 6.095 and the matket's Sharpe Ratio is 0.4. In constructing an optimal allocation between the mispriced asset and the market what proportion of your investment would you place in the muspriced asset? a. 1284 b. 15% c 200% d. 25% e. The asset is not mispriced Clear my choict
Option (e) is the correct answer. Given,Alpha (α) = 20%Beta (β) = 1.0.Unsystematic risk = 5.0%, Market risk premium = 6.095, Market's Sharpe Ratio = 0.4.
To construct the optimal allocation between the mispriced asset and the market, we have to find the proportion of our investment that would place in the mispriced asset.
So, the required proportion is:Proportion = {α - [β × (Market risk premium)]} / [Sharpe Ratio × Unsystematic risk²]
Putting the given values in the above equation:Proportion = {20% - [1.0 × (6.095%)]} / [0.4 × (5.0%)²]
Proportion = (20% - 6.095%) / [0.4 × 0.25%]
Proportion = 13.905% / 0.1%
Proportion = 139.05
Thus, the proportion of the investment that should be placed in the mispriced asset is 139.05% (rounded to the nearest whole number).
Since the proportion is greater than 100%, it is not feasible. Therefore, the asset is not mispriced.
Hence, option (e) is the correct answer.
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A Polish currency dealer has good credit and can borrow either €1,600,000 or $2,000,000 for one year. The one-year interest rate in the U.S. is i$ = 6.25% and in the euro zone the one-year interest rate is i€ = 2%. The spot exchange rate is $1.20 = €1.00 and the one-year forward exchange rate is $1.25 = €1.00. Show how you can realize a certain euro profit via covered interest arbitrage.
A. Arbitrage opportunity does not exit
B. Borrow €1,600,000 at i€ = 2%; translate euros to dollars at the spot rate, invest dollars in the U.S. at i$ = 6.25% for one year; translate dollars back to $2,000,000 at the forward rate of $1.20 = €1.00. Net profit will be €2,000.
C. Borrow $2,000,000 at 6.25%; trade $2,000,000 for €800,000 at the spot rate; invest euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.20 = €1.00. Net profit will be $17,600.
D. Borrow $2,000,000 at 6.25%; trade $2,000,000 for €1,666,667 at the spot rate; invest euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.25 = €1.00 for gross proceeds of $2,125,000. Net profit will be $5,000
C. Borrow $2,000,000 at 6.25%; trade $2,000,000 for €800,000 at the spot rate; invest euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.20 = €1.00. Net profit will be $17,600.
This strategy involves taking advantage of the interest rate differential and exchange rate movements to generate a profit. By borrowing in dollars at a lower interest rate, converting the borrowed amount to euros at the spot rate, and investing in euros at a higher interest rate, the investor can earn interest on the euro investment.
Finally, by converting the euro proceeds back to dollars at the forward rate, the investor realizes a net profit of $17,600.
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Explain the five phases that make up the DMADV
(A Six Sigma framework)
and when it should be applied?
The DMADV (Define, Measure, Analyze, Design, and Verify) model is a Six Sigma framework used for new product or process development.
The approach involves five phases to ensure quality, customer satisfaction, and business efficiency. It is applied when an existing product or process cannot meet the level of customer specification or new products or processes are being developed.
The first phase, Define, sets the goals of the project that are consistent with customer demands and business strategy. Measure focuses on identifying customer needs, quantifying and creating metrics. Analyze is about data assessment and choosing the best process to meet customer needs. Design involves developing detailed plans for the selected process, and Verify is the final phase where the design is tested and moved to regular production if it meets the specifications. DMADV should be applied when developing new products or processes or when an existing process isn't capable of meeting the necessary specifications.
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Skysong Limited has bonds outstanding that will mature in 8 years. The bonds have a face value of $1,000. The bonds pay interest semi-annually and have a coupon rate of 4.9 percent. If the bonds are currently selling at $898.99, what is the yield to maturity that an investor who buys them today can expect to earn? (Round answer to 1 decimal place, e.g. 5.2%.)
Yield to maturity %
What is the effective annual yield? (Round answer to 2 decimal places, e.g. 5.27%.)
Effective annual yield %
To calculate the yield to maturity (YTM) of a bond, we need to use the bond's current market price, face value, coupon rate, and time to maturity. The YTM represents the annualized rate of return an investor can expect to earn if the bond is held until maturity.
Given:
Face value (F) = $1,000
Coupon rate (C) = 4.9% (or 0.049)
Current market price (P) = $898.99
Time to maturity (n) = 8 years
To calculate the yield to maturity, we need to find the yield (Y) that satisfies the following equation:
P = (C/2) * (1 - 1/(1 + Y/2)^(2n)) / (Y/2) + F / (1 + Y/2)^(2n)
We can solve this equation numerically using methods such as the Newton-Raphson method or by using financial calculators or software. However, for simplicity, we can use financial functions available in spreadsheet software like Microsoft Excel.
Using Excel, we can use the YIELD function to calculate the yield to maturity. In this case, we will enter the following formula in a cell:
=YIELD(8, 4.9%, 898.99, 1000, 2, 0)
The parameters for the YIELD function are: YIELD(settlement, rate, pr, redemption, frequency, basis). In this formula, we provide the settlement date (8 years), the coupon rate (4.9%), the bond's current market price ($898.99), the face value ($1,000), the number of coupon payments per year (2 for semi-annual payments), and the basis (0 for the actual/actual day count convention).
Using this formula, we find that the yield to maturity is approximately 5.9%.
To calculate the effective annual yield (EAY), we can use the formula:
EAY = (1 + YTM/2)^(2) - 1
Plugging in the calculated YTM of 5.9%, we find:
EAY = (1 + 5.9%/2)^(2) - 1 ≈ 6.02%
Therefore, the yield to maturity for an investor who buys the bonds today is approximately 5.9%, and the effective annual yield is approximately 6.02%.
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D O Probabilities of outcomes are shown on the branches emanating from a decision node. Question 14 The procedure for mathematically solving decision trees and determining the optimal policy and EMV is called: O sensitivity analysis O folding back (rollback) O policy iteration Orisk profiling Question 15 2 pts 2 pts Suppose a chance/event node has 3 branches. The first two have probabilities of 0.35 and 0.25 associated with them. Write down the probability associated with the third branch.
The procedure for solving decision trees and determining the optimal policy is called folding back. The probability associated with the third branch is 0.40.
The procedure for mathematically solving decision trees and determining the optimal policy and EMV is called: (Answer: 2) folding back (rollback).
Suppose a chance/event node has 3 branches. The first two branches have probabilities of 0.35 and 0.25 associated with them.
The probability associated with the third branch can be calculated by subtracting the sum of the probabilities of the first two branches from 1. Since the total probability must add up to 1, the probability of the third branch would be 1 - 0.35 - 0.25 = 0.40. Answer: The probability associated with the third branch is 0.40.
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Explain why in agricultural countries the official GDP are often
underestimated.
In agricultural countries, the official GDP is often underestimated due to several reasons.
Firstly, a significant portion of economic activities in these countries takes place in the informal sector, which is not properly accounted for in GDP calculations.
Many agricultural activities, such as small-scale farming or subsistence farming, are often unregistered and not included in official statistics.
Additionally, agricultural countries often face challenges in accurately measuring the value of agricultural production. The lack of proper infrastructure, technology, and resources for data collection and measurement makes it difficult to accurately estimate the contribution of agriculture to the overall economy.
Moreover, seasonal variations in agricultural production can also impact GDP calculations. Agricultural output is heavily dependent on factors like weather conditions and crop cycles, which can lead to fluctuations in production and income throughout the year.
This volatility makes it challenging to capture the true economic value of agriculture and can result in underestimated GDP figures.
Overall, the combination of informal economic activities, measurement challenges, and seasonal variations in agricultural production contribute to the underestimation of official GDP in agricultural countries.
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"The Stated Objectives Of Commercial Firms Are Often Taken To Be Profit Maximisation And Shareholder Wealth Maximisation. Briefly Comment On The Extent To Which This Objective Is Realistic And How Economics Can Be Useful In Assisting Actual Corporate Objectives." Guide To Complete The Assignment, You Will Need To Carefully Explain The Role Of Profits And
While profit maximization and shareholder wealth maximization are common objectives for commercial firms, their realization may depend on various factors. Economics provides valuable tools and frameworks that firms can use to analyze market conditions, make informed decisions, and align their objectives with economic realities and societal interests.
The stated objectives of commercial firms are commonly considered to be profit maximization and shareholder wealth maximization. However, the extent to which this objective is realistic can vary depending on various factors.
Economics can be useful in assisting actual corporate objectives by providing insights and guidance on how firms can effectively achieve their objectives. Here's how economics can play a role:
1. Profit Maximization: Economics helps firms understand the concept of profit maximization and the factors that influence it. By analyzing costs, revenues, and market conditions, firms can make informed decisions on pricing strategies, production levels, and cost management to maximize their profits.
2. Shareholder Wealth Maximization: Economics can assist firms in understanding how to create value for shareholders. By analyzing market dynamics, competition, and customer preferences, firms can make strategic decisions that enhance the long-term value of their business and increase shareholder wealth.
3. Market Efficiency: Economics provides insights into market efficiency and competition. Understanding market structures and competition allows firms to identify opportunities and make informed decisions to gain a competitive edge.
4. Externalities and Social Responsibility: Economics also highlights the importance of considering externalities, such as environmental and social impacts, in decision-making. Firms can use economic analysis to assess the costs and benefits of their actions and adopt sustainable practices that align with societal interests.
In conclusion, while profit maximization and shareholder wealth maximization are common objectives for commercial firms, their realization may depend on various factors. Economics provides valuable tools and frameworks that firms can use to analyze market conditions, make informed decisions, and align their objectives with economic realities and societal interests.
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Profit maximization and shareholder wealth maximization are important objectives for commercial firms, economics can help firms navigate the complexities of the business environment and assist in pursuing actual corporate objectives that go beyond short-term financial gains.
These objectives are commonly pursued, their complete realization may not always be realistic. There are several factors that can affect the ability of firms to achieve these goals, such as market conditions, competition, and external shocks.
Economics can be useful in assisting actual corporate objectives by providing a framework for understanding the factors that influence profitability and shareholder wealth. It can help firms analyze market dynamics, demand and supply conditions, pricing strategies, and cost structures. By studying these economic factors, firms can make informed decisions on how to allocate resources, improve efficiency, and identify growth opportunities.
Moreover, economics can assist in identifying alternative objectives that align with long-term sustainability and stakeholder welfare. Firms can consider broader goals such as social responsibility, environmental sustainability, and employee well-being, which can lead to enhanced corporate reputation and customer loyalty.
So, profit maximization and shareholder wealth maximization are important objectives for commercial firms, economics can help firms navigate the complexities of the business environment and assist in pursuing actual corporate objectives that go beyond short-term financial gains.
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Critically examine Why entrepreneurship is an engine of growth?
Entrepreneurship is an engine of growth due to its ability to drive innovation, create jobs, foster competition, stimulate economic development, and empower individuals to take risks and pursue opportunities, resulting in overall economic advancement.
Entrepreneurship is an engine of growth due to several critical factors:
1. Innovation and Creativity: Entrepreneurs are catalysts of innovation, bringing new ideas, products, and services to the market. They identify gaps and unmet needs, leading to the development of innovative solutions. This drives economic growth by introducing novel and improved ways of doing things.
2. Job Creation and Economic Development: Entrepreneurs create job opportunities by starting new businesses or expanding existing ones. As their ventures grow, they hire employees, thus reducing unemployment rates and boosting economic development. The creation of more jobs leads to increased consumer spending and a higher standard of living.
3. Wealth Generation: Successful entrepreneurs generate wealth not only for themselves but also for society. Through their ventures, they generate profits, create value, and contribute to economic prosperity. This wealth creation helps stimulate investment, drives economic growth, and provides resources for further innovation and development.
4. Market Competition and Efficiency: Entrepreneurship fosters competition, which drives market efficiency and productivity. Entrepreneurs introduce new products and services, leading to market diversification and improved consumer choice. Competition encourages efficiency, as businesses strive to deliver better value, quality, and customer satisfaction.
5. Regional Development and Social Impact: Entrepreneurship can have a significant impact on regional development, especially in areas with limited economic opportunities. By starting businesses, entrepreneurs can revitalize communities, attract investments, and contribute to local development. Additionally, successful entrepreneurs often engage in philanthropy and social initiatives, addressing societal challenges and making a positive social impact.
6. Knowledge and Technology Spillover: Entrepreneurial activities lead to knowledge and technology spillovers, benefiting the wider economy. Entrepreneurs collaborate with researchers, universities, and other businesses, fostering knowledge exchange and technological advancements. This diffusion of knowledge drives overall productivity and competitiveness.
7. Adaptability and Resilience: Entrepreneurs possess the ability to adapt to changing market conditions and navigate challenges. Their agility and resilience contribute to economic growth by seizing opportunities and driving forward during economic downturns or disruptive periods.
In conclusion, entrepreneurship serves as an engine of growth by promoting innovation, job creation, wealth generation, market competition, regional development, and knowledge spillovers. It plays a vital role in driving economic prosperity, fostering societal progress, and enhancing overall well-being.
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What is the organisational structure of Sygenta? What are the
advantages and disadvantages of this type of structure compared to
other types of structure?
Syngenta has a matrix organizational structure. The advantages include improved communication and collaboration, while disadvantages include complexity and potential conflicts.
The organizational structure of Syngenta is a matrix structure, which combines functional and divisional structures. The advantages of this structure include increased communication and coordination, efficient resource allocation, and enhanced cross-functional collaboration. However, it can also lead to complexity, power struggles, and slower decision-making processes compared to other structures like a functional or divisional structure.
Additionally, matrix structures require strong leadership and clear roles and responsibilities to effectively balance the dual reporting relationships and avoid conflicts. Overall, the choice of organizational structure depends on various factors such as the company's size, industry, goals, and culture, and each structure has its own strengths and limitations in terms of promoting collaboration, efficiency, and flexibility.
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Currently, Warren Industries can sell 15-year, $1,000-par-value bonds paying annual interest at a 8% coupon rate. Because current market rates for similar bonds are just under 8%, Warren can sell its bonds for
$1,100 each; Warren will incur flotation costs of $20 per bond. The firm is in the 21% tax bracket.a.Find the net proceeds from the sale of the bond, Nd.b.Calculate the bond's yield to maturity (YTM) to estimate the before-tax and after-tax costs of debt.c.Use the approximation formula to estimate the before-tax and after-tax costs of debt.
a) The net proceeds from the sale of the bond are $1,080. b.) Before-tax YTM of 7.13% and an after-tax YTM of 5.63% c) The before-tax cost of debt is approximately 7.13%, and the after-tax cost of debt is approximately 5.63%.
a.)The before-tax cost of debt is approximately 7.13%, and the after-tax cost of debt is approximately 5.63%. The net proceeds of the sale of the bond can be calculated as follows:
Net proceeds = (Selling price - Flotation costs) x Number of bonds sold
= ($1,100 - $20) x 1
= $1,080
Therefore, the net proceeds from the sale of the bond are $1,080.
b) Yield to maturity (YTM) can be calculated as follows:
PMT = coupon rate x par value = 8% x $1,000 is $80, n = number of years to maturity = 15I = market interest rate = 8%,
PV = issue price - flotation costs
= $1,100 - $20
= $1,080
Using a financial calculator or an Excel spreadsheet to solve for YTM gives us a before-tax YTM of 7.13% and an after-tax YTM of 5.63% ($7.13\%(1-0.21) is 5.63\%$).
c) Using the approximation formula to estimate the before-tax and after-tax costs of debt gives us the following results:
Before-tax cost of debt: YTM = current yield + [(par value - issue price) / n] x [(current yield + 1) / 2]7.13%
= 8% + [($1,000 - $1,100) / 15] x [(8% + 1) / 2]
After-tax cost of debt: YTM = after-tax yield + [(par value - issue price) / n] x [(after-tax yield + 1) / 2]5.63%
= 8% + [($1,000 - $1,100) / 15] x [(5.63% + 1) / 2]
Therefore, the before-tax cost of debt is approximately 7.13%, and the after-tax cost of debt is approximately 5.63%.
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To develop an explicit financial plan, managers must establish certain basic elements of the firm's financial policy, which of the following elements is related to the amount of borrowing the firm will use to finance its invesments in real assets (capital structure policy). Multiple Choice -The firm's needed investment in new assets -The degree of financial leverage the firm chooses to employ - The amount of cash the firm thinks is necessary and appropriate to pay shareholders -The amount of liquidity and working capital the firm needs on an ongoing basis
The element related to the amount of borrowing the firm will use to finance its investments in real assets (capital structure policy) is: the degree of financial leverage the firm chooses to employ.
The element related to the amount of borrowing the firm will use to finance its investments in real assets (capital structure policy) is the amount of debt or leverage the firm chooses to employ.
Financial leverage refers to the use of borrowed funds or debt to finance a company's investments and operations.Therefore, element related to the amount of borrowing the firm will use to finance its investments in real assets (capital structure policy) is: the degree of financial leverage the firm chooses to employ. The degree of financial leverage determines the proportion of debt in the company's capital structure and the level of risk associated with the firm's financing. By deciding on the amount of borrowing and debt in relation to equity, the firm establishes its capital structure policy, which affects factors such as interest expenses, financial risk, and potential returns for shareholders.
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Question 3: Consider a market with m∈N identical consumers with aggregate demand function D(p)=mp −a with a>0 and n∈N identical firms with cost functions c(y)= b+1 b y (b+1)/b where b>0. 1. Find the perfectly competitive equilibrium for the market. Suppose a>1 and n=1 so there is one firm that is a monopolist. 2. Find the monopoly equilibrium for the market. Compare monopoly and perfect competition, both with a>1 and n=1. Suppose a=1 and n=2 and there is Cournot competition in the market. 3. State the problem of firm j∈{1,2} and find the first-order condition. 4. Suppose the two firms produce the same in the Cournot equilibrium and find it. Compare Cournot and perfect competition, both with a=1 and n=2.
1.Equilibrium of perfect competition: Market price and quantity are defined by the intersection of total supply and demand. 2.The monopolist maximises profits by establishing a quantity where marginal revenue and marginal cost are equal.
3. In a Cournot competition, firms choose quantities concurrently in an effort to maximise earnings while taking the quantity selected by the other firm into account. 4. Cournot equilibrium: When both enterprises decide on quantities simultaneously, the market behaves differently than it would under perfect competition.
1. In perfect competition, the market is characterized by many firms, and each firm is a price taker. The equilibrium price and quantity are determined by the intersection of demand and supply.
2. In monopoly, there is only one firm with market power. The monopolist maximizes profits by producing a quantity where marginal revenue equals marginal cost, resulting in a higher price and lower quantity compared to perfect competition.
3. In Cournot competition, each firm chooses its quantity to maximize profits, considering the quantity chosen by the other firm. The first-order condition represents the derivative of the profit function with respect to quantity, which should be set equal to zero.
4. In the Cournot equilibrium, both firms simultaneously choose their quantities, resulting in a different market outcome compared to perfect competition. The equilibrium quantities are determined by each firm's best response to the other firm's quantity, leading to a higher price and lower quantity compared to perfect competition.
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