The expected price of the stock 5 years from now is $53.19.
a) To calculate the current price of the stock, we can use the Gordon Growth Model:
P = D / (r - g)
where P is the current price, D is the expected dividend one year from now, r is the required rate of return, and g is the expected growth rate of dividends.
Using the given values:
D = $3.25
r = 15%
g = 4%
P = 3.25 / (0.15 - 0.04) = $28.75
Therefore, the current price of the stock is $28.75.
b) To calculate the expected price of the stock 5 years from now, we can use the formula:
P = D1 * (1 + g)^n / (r - g)
where D1 is the expected dividend 5 years from now, n is the number of years, and all other variables are the same as before.
To find D1, we need to calculate the dividend at the end of each year for the next five years:
Year 1: D1 = $3.25 * 1.04 = $3.38
Year 2: D2 = $3.38 * 1.04 = $3.52
Year 3: D3 = $3.52 * 1.04 = $3.66
Year 4: D4 = $3.66 * 1.04 = $3.80
Year 5: D5 = $3.80 * 1.04 = $3.95
Now we can use the formula:
P = $3.95 * (1 + 0.04)^5 / (0.15 - 0.04) = $53.19
Therefore, the expected price of the stock 5 years from now is $53.19.
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although cotton was central to the southern economy by the 1850s, cotton production did not really increase significantly between 1800 and 1850.
Cotton was central to the Southern economy by the 1850s, but its production did not increase significantly between 1800 and 1850.
By the middle of the 19th century, cotton had become a significant economic force in the south of the United States, although the first half of the century saw little growth in the crop's output. Despite the introduction of new technology and the extension of cotton farming into new areas, the rate of output increase generally remained modest.
This was caused in part by restrictions on the amount of land, labour, and money that could be used as well as changes in the demand for cotton on a worldwide scale. The growth of cotton farming in the South throughout the second half of the 19th century, however, had a significant impact on American history and society.
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False. Despite cotton's importance to the Southern economy in the 1850s, its production did not significantly increase between 1800 and 1850, with most of the expansion occurring after 1850.
The production of cotton did not greatly rise between 1800 and 1850, despite cotton being an essential component of the Southern economy in the middle of the 19th century. In actuality, the growth in cotton output in the South began mostly after 1850 and was fueled by the rising demand for cotton in the North and in Europe's textile mills. Although the cotton gin's development in the late 18th century simplified cotton processing, it did not necessarily result in a material rise in output. The expansion of cotton production in the South was influenced by a number of additional factors, including land accessibility, labor supply, and transportation infrastructure.
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according to the black-scholes formula, what will be the hedge ratio (delta) of a put option for a very small exercise price?
According to the Black-Scholes formula, the hedge ratio (delta) of a put option for a very small exercise price: will be approximately 0.
Step 1: Identify the variables in the Black-Scholes formula, which include the stock price (S), the exercise price (K), the time to expiration (T), the risk-free interest rate (r), and the volatility (σ).
Step 2: Since the exercise price (K) is very small, we can assume that the option is deep out-of-the-money (OTM). This means that the option has a low probability of being exercised, as the stock price is significantly higher than the exercise price.
Step 3: Calculate the delta of the put option using the Black-Scholes formula. The delta of a put option is represented as N(d1) - 1, where N(d1) is the cumulative standard normal probability distribution of d1, which is given by:
[tex]d1 = (ln(S/K) + (r + (\sigma^2)/2) \times T) / (\sigma \times \sqrt(T))[/tex]
Step 4: Due to the small exercise price and deep OTM nature of the put option, N(d1) will be close to 1. Therefore, the delta of the put option will be close to 1 - 1 = 0.
In conclusion, according to the Black-Scholes formula, the hedge ratio (delta) of a put option for a very small exercise price will be approximately 0. This indicates that the put option's value is not sensitive to changes in the stock price, given its deep out-of-the-money status.
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Consider a firm that has EPS of $5 at the end of the first year, a dividend-payout ratio of 30-percent, a discount rate of 16-percent, and a return on retained earnings of 20-percent. The firm retains some of its earnings each year and it is selecting growth opportunities each year.
• Calculate the price of stock by using NPVGO model
The stock price using the NPVGO model is $89.00 per share.
The NPVGO model is used to value a company's growth opportunities. It is calculated as the net present value (NPV) of the company's future growth opportunities, divided by the number of outstanding shares.
To calculate the NPV of the growth opportunities, we need to calculate the present value of the expected future earnings that will be generated by the growth opportunities, and subtract the cost of the investment required to generate those earnings.
The growth rate of earnings is assumed to be constant over time.
The formula for NPVGO is:
NPVGO = (ROE - r) x b x EPS / (r - g)
where ROE is the return on retained earnings, r is the discount rate, b is the retention ratio (1 - dividend payout ratio), EPS is the earnings per share, and g is the expected growth rate.
In this case, EPS = $5, the dividend payout ratio is 30%, so the retention ratio is 70%, ROE is 20%, and r is 16%.
To calculate g, we can use the sustainable growth rate formula:
g = ROE x b
g = 20% x 70%
g = 14%
So, g = 14%.
Now we can calculate NPVGO:
NPVGO = (ROE - r) x b x EPS / (r - g)
NPVGO = (20% - 16%) x 0.7 x $5 / (16% - 14%)
NPVGO = 0.08 x $3.50 / 0.02
NPVGO = $14.00
So, the NPV of the growth opportunities is $14.00 per share.
To calculate the price of the stock using the NPVGO model, we need to add the present value of the expected future dividends to the NPV of the growth opportunities, and divide by the number of outstanding shares.
The formula for stock price using the NPVGO model is:
Stock price = (NPVGO + PV of expected dividends) / number of shares
To calculate the present value of expected dividends, we can use the dividend discount model:
PV of expected dividends = D1 / (r - g)
where D1 is the expected dividend per share in the next period, r is the discount rate, and g is the expected growth rate.
In this case, D1 = 30% x $5 = $1.50 per share.
PV of expected dividends = $1.50 / (16% - 14%)
PV of expected dividends = $75.00 per share
Now we can calculate the stock price using the NPVGO model:
Stock price = (NPVGO + PV of expected dividends) / number of shares
Stock price = ($14.00 + $75.00) / 1
Stock price = $89.00 per share
Therefore, the stock price using the NPVGO model is $89.00 per share.
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when foxconn, the main assembler of the iphone and ipad, spends time and money fixing a defective iphone before it leaves the factory, the company has incurred a(n)
When Foxconn spends time and money fixing a defective iPhone before it leaves the factory, the company has incurred a cost of quality.
Cost of quality refers to the total cost incurred by a company to ensure that its products meet quality standards and requirements. This includes the costs of preventing defects, inspecting and testing products, and correcting any defects found.
In the case of Foxconn, fixing a defective iPhone before it leaves the factory is a cost of quality because it is a corrective action taken to ensure that the product meets the quality standards set by Apple. The company incurs direct costs such as labor, materials, and equipment to fix the defect, as well as indirect costs such as lost productivity and possible delays in production schedules. These costs can add up quickly and can impact the profitability of the company.
Therefore, it is in Foxconn's best interest to implement measures to prevent defects from occurring in the first place and to continuously improve its quality control processes to minimize the cost of quality. By doing so, the company can reduce the amount of time and money spent on fixing defects and increase its overall efficiency and profitability.
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The basic models of acquisition include a corporation acquiring a target corporation's: (Check all that apply.)
A. stock.
B. assets.
C. cash.
D. debt.
A. stock and B. assets are the basic models of acquisition that a corporation can acquire from a target corporation. C. cash and D. debt are not typically acquired in an acquisition,
as cash is a liquid asset that the target corporation may need to continue operating, and debt is a liability that the acquiring corporation would not want to take on. Based on your question, the basic models of acquisition for a corporation acquiring a target corporation include:
A. stock.
B. assets.
These two options are commonly involved in acquisitions. A corporation can either acquire the target corporation's stock, giving them ownership and control, or they can acquire the target's assets, which can include property, equipment, and intellectual property. While cash and debt can be involved in acquisition transactions, they are not considered basic models of acquisition.
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A. stock and B. assets are the basic models of acquisition that a corporation can acquire from a target corporation. C. cash and D. debt are not typically acquired in an acquisition,
As cash is a liquid asset that the target corporation may need to continue operating, and debt is a liability that the acquiring corporation would not want to take on. Based on your question, the basic models of acquisition for a corporation acquiring a target corporation include:
A. stock.
B. assets.
These two options are commonly involved in acquisitions. A corporation can either acquire the target corporation's stock, giving them ownership and control, or they can acquire the target's assets, which can include property, equipment, and intellectual property. While cash and debt can be involved in acquisition transactions, they are not considered basic models of acquisition.
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(Cost of preferred stock) The preferred stock of Texas Southern Power Company sells for $41 and pays $7 in dividends. The net price of the security after issuance costs is $36.08 . What is the cost of capital for the preferred stock?
The cost of capital for Texas Southern Power Company's preferred stock is approximately 29.07%.
To determine the cost of capital for Texas Southern Power Company's preferred stock, we need to consider the dividend paid, the selling price, and the net price after issuance costs. Let's follow these steps:
1. First, we need to calculate the dividend yield, which is the annual dividend divided by the stock's selling price. In this case, the dividend is $7, and the selling price is $41:
Dividend Yield = Dividend / Selling Price = $7 / $41 ≈ 0.1707 or 17.07%
2. Next, we need to account for the issuance costs. To do this, we'll calculate the difference between the selling price and the net price after issuance costs, then divide by the selling price:
Issuance Cost Percentage = (Selling Price - Net Price) / Selling Price = ($41 - $36.08) / $41 ≈ 0.1200 or 12%
3. Finally, we'll adjust the dividend yield to account for the issuance costs. This will give us the cost of capital for the preferred stock:
Cost of Capital = Dividend Yield + Issuance Cost Percentage = 17.07% + 12% = 29.07%
Therefore, the cost of capital for Texas Southern Power Company's preferred stock is approximately 29.07%. This value represents the required return on investment for investors who purchase the preferred stock, taking into consideration the dividend payments and the costs associated with issuing the stock.
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Caspian Sea Drinks is considering buying the J-Mix 2000. It will allow them to make and sell more product. The machine cost $1.81 million and create incremental cash flows of $538,260.00 each year for the next five years. The cost of capital is 11.92%. What is the internal rate of return for the J-Mix 2000? Submit Answer format: Porcentage Round to: 2 decimal places (Example: 9.24%, % sign required. Will accept decimal format rounded to 4 decimal places (ex: 0.0924)
According to the question, the internal rate of return for the J-Mix 2000 is 10.32%.
What is rate of return?Rate of return is a measure of the profitability of an investment. It is usually expressed in terms of a percentage of the original investment. Rate of return is calculated by taking the gain from an investment and dividing it by the original cost of the investment. It can also be calculated by taking the income from the investment and dividing it by the original cost of the investment.
This is calculated using the formula for internal rate of return: IRR = (C1 / CF0)1/n – 1
Where C1 is the incremental cash flow of $538,260.00, CF0 is the initial investment of $1.81 million, and n is the number of years, which is 5.
IRR = (538,260.00 / 1,810,000)1/5 – 1
IRR = 0.1032
IRR = 10.32%
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On 3 February 20XX, the quoted price of the March 20XX 90-day bank bill futures contract was 99.19. John Lowe believed that interest rates would increase over the next month and he entered into four bank bill futures contracts in a position consistent with that view. On 10 February 20XX, he closed out his position at a quoted price of 99.07. Ignoring transaction costs, how much has John Lowe made (or lost)? A) -$294.62 B) $1178.50 C)$998,006.72 D)$294.62 E)None of the above answers is correct.
On 3 February 20XX, John Lowe entered into four 90-day bank bill futures contracts with a quoted price of 99.19, believing interest rates would increase over the next month. When he closed out his position on 10 February 20XX, the quoted price was 99.07. Correct answer is option E
To calculate the profit or loss, we need to find the difference in the quoted prices and multiply it by the contract size (AUD 1,000,000) and the number of contracts (4).
Difference in quoted prices = 99.19 - 99.07 = 0.12, Each basis point represents 0.01, so the difference in basis points is 0.12 x 100 = 12 basis points. Now, we'll calculate the profit or loss: Profit/Loss = Contract size x Number of contracts x Basis point value x Difference in basis points Profit/Loss = AUD 1,000,000 x 4 x AUD 25 x 12 basis points Profit/Loss = AUD 1,000,000 x 4 x AUD 25 x 0.12, Profit/Loss = AUD 12,000
As John believed interest rates would increase, he would have taken a short position. Since the quoted price decreased from 99.19 to 99.07, John would have made a profit.
Therefore, the correct answer is option E)
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dolphin inc's preferred stock is currently priced at $40.00/share and just paid quarterly dividends of $0.50/share. what is the cost of dolphin's preferred stock?
The cost of Dolphin Inc.'s preferred stock is 5%.
The cost of Dolphin Inc.'s preferred stock can be calculated using the formula: Cost of preferred stock = Annual dividend payment / Net proceeds from the sale of one share.
Assuming a constant dividend payment, the annual dividend payment can be found by multiplying the quarterly dividend by 4. Therefore, the cost of Dolphin Inc.'s preferred stock is:
Cost of preferred stock = (4 x $0.50) / $40.00 = $0.05 / $1 = 5%
Therefore, the cost of Dolphin Inc.'s preferred stock is 5%.
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what are the two important areas involved in planning the operational processes for an organization?
The two important areas involved in planning the operational processes for an organization are efficiency and effectiveness.
Efficiency refers to maximizing the use of resources to achieve the desired output, while effectiveness refers to achieving the intended results in a timely and successful manner.
These two areas are crucial in ensuring that an organization's operational processes are well-planned and executed, leading to improved productivity, reduced costs, and increased customer satisfaction.
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the external entity from whom an organization purchases inventory and raw materials is called a . (check all that apply.)
The external entity from whom an organization purchases inventory and raw materials is called a supplier or vendor.
A supplier or vendor is a company or individual that provides goods or services to another company or organization. In the context of inventory and raw materials, a supplier is a company that supplies the necessary materials for an organization to produce its products or deliver its services.
These materials may include raw materials, components, parts, or finished goods. The relationship between a supplier and an organization is typically governed by a contract or purchase agreement, which specifies the terms and conditions of the transaction, including price, quantity, quality, and delivery schedule.
Effective supplier management is critical to the success of an organization, as it ensures a reliable and cost-effective supply of materials and helps to maintain quality and consistency in the production process.
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You have just received a windfall from an investment you made in a friend's business. She will be paying you $45,056 at the end of this year. $90,112 at the end of next year, and $135,168 at the end of the year after that three years from today). The interest rate is 12.1% per year. a. What is the present value of your windfall? b. What is the future value of your windfall in three years (on the date of the last payment)?
a. The present value of the windfall is $200,321.68. b. The future value of the windfall in three years is $379,125.48.
a. To calculate the present value of the windfall, we need to discount each of the future payments back to the present using the given interest rate of 12.1%.
Using the formula for present value of a single payment, we get:
PV1 = 45,056 / (1 + 0.121)¹ = $40,250.44
PV2 = 90,112 / (1 + 0.121)² = $67,230.53
PV3 = 135,168 / (1 + 0.121)³ = $92,840.71
Therefore, the present value of the windfall is:
PV = PV1 + PV2 + PV3
= $40,250.44 + $67,230.53 + $92,840.71 = $200,321.68
b. To calculate the future value of the windfall in three years, we can simply add up the future payments and compound them for three years using the same interest rate of 12.1%.
Using the formula for the future value of a series of payments, we get:
FV = 45,056 x (1 + 0.121)² + 90,112 x (1 + 0.121)¹ + 135,168
= $379,125.48
Therefore, the future value of the windfall in three years is $379,125.48.
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If the economy is in a recession, the Federal Reserve would most likely pursue. which causes interest rates to . a) contractionary monetary policy: fall b) expansionary monetary policy: fall C) expansionary monetary policy: rise d) contractionary monetary policy: rise
If the economy is in a recession, the Federal Reserve would most likely pursue an expansionary monetary policy, which causes interest rates to fall. So, the correct answer is b) expansionary monetary policy: fall.
Expansionary monetary policy is a type of macroeconomic policy that is used by central banks, such as the Federal Reserve, to stimulate economic growth and reduce unemployment. The main goal of expansionary monetary policy is to encourage borrowing and spending by making credit more affordable and accessible. There are several ways that the Federal Reserve can pursue an expansionary monetary policy. One way is by lowering the federal funds rate, which is the interest rate at which banks lend to each other overnight. When the federal funds rate is lowered, banks can borrow money more cheaply, which allows them to offer lower interest rates on loans to consumers and businesses. This can stimulate borrowing and investment, which in turn can boost economic growth. Another way that the Federal Reserve can pursue expansionary monetary policy is through quantitative easing. This involves the central bank purchasing large amounts of government securities or other assets from banks and other financial institutions. By doing so, the central bank injects more money into the economy, which can help stimulate lending and borrowing.
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If the economy is in a recession, the Federal Reserve would most likely pursue an expansionary monetary policy, which causes interest rates to fall.
During a recession, the economy is characterized by high unemployment and low economic growth. To stimulate economic activity and increase employment, the Federal Reserve can pursue an expansionary monetary policy, which involves increasing the money supply, lowering interest rates, and encouraging borrowing and spending.
Lower interest rates make it cheaper for businesses and individuals to borrow money, which can lead to increased investment and consumption, and ultimately stimulate economic growth. Therefore, the Federal Reserve would pursue an expansionary monetary policy in a recession to help boost the economy.
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You bought 1,000 shares of Altona Ltd 5 years ago. Over the years you have attended the annual general meetings and carefully read through Altona Ltd’s financial statements. While you have been generally satisfied with the amount of annual dividends, recently you have become a little concerned with declining share prices. You became particularly alarmed when media published several photos showing Altona management’s Hawaiian management retreats. Taking into consideration the management behaviour critically discuss the relationship between a corporation’s shareholders and management. Analyse the problems and costs related to this relationship and explain with example how a company may structure management compensation to mitigate such costs.
Problems and costs related to this relationship include conflicts of interest and impact on the company's reputation. Companies may design management compensation in a way that aligns it with shareholders' interests in order to reduce these costs. They might, for instance, link executive compensation to performance measures.
The relationship between a corporation's shareholders and management is an important one that can significantly impact the performance and success of the company. In this case, the declining share prices and management's behaviour at Hawaiian retreats are cause for concern.
Shareholders entrust management with their investment and expect them to act in the best interest of the company and its shareholders. However, when management engages in lavish spending and fails to prioritize shareholder value, it can lead to a breakdown in trust and a decline in share prices.
One problem related to this relationship is the potential for conflicts of interest. For example, management may prioritize their own compensation and benefits over the needs of shareholders. This can lead to a misalignment of interests and a lack of focus on long-term company performance.
Another cost related to this relationship is the impact on the company's reputation. When management engages in behaviour that is perceived as excessive or inappropriate, it can damage the company's brand and make it less attractive to investors and customers.
To mitigate these costs, companies may structure management compensation in a way that aligns their interests with those of shareholders. For example, they may tie executive compensation to performance metrics such as earnings per share or return on investment. This incentivizes management to focus on long-term growth and profitability rather than short-term gains.
In addition, companies can establish strong governance practices, including independent board oversight and regular reporting and disclosure, to ensure that management is accountable to shareholders and acting in their best interest.
Overall, the relationship between a corporation's shareholders and management is critical to the success of the company. By prioritizing transparency, accountability, and alignment of interests, companies can foster a positive and productive relationship that benefits both shareholders and management.
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parallel pricing-the tendency for companies in an industry to move prices more or less simultaneously-is typically an indicator of:
Parallel pricing, which is the tendency for companies in an industry to move prices more or less simultaneously, is typically an indicator of market competition and the use of similar pricing strategies among competitors.
Companies may change their prices in an attempt to preserve their share of the market and profitability based on pricing decisions made by their rivals. However, this can lead to price wars and decreased profitability for all companies involved. Therefore, it is important for companies to carefully consider their pricing strategies and competitive environment to avoid engaging in parallel pricing.
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A fully amortizing loan has a monthly payment of $1,803. If the interest rate is fixed at 4.75% and the amortization period is 20 years, what is the original loan amount (round to the nearest dollar)?
This fully amortizing loan has a $279,459 initial loan balance.
To calculate the original loan amount for a fully amortizing loan with a monthly payment of $1,803, fixed interest rate of 4.75%, and a 20-year amortization period, we can use the formula for the present value of an annuity:
PV = PMT x ((1 - (1 + r/n)^(-nt)) / (r/n))
Where:
PV = Present value or original loan amount
PMT = Monthly payment
r = Annual interest rate
n = Number of compounding periods per year
t = Total number of payments
Plugging in the given values, we get:
PV = $1,803 x ((1 - 0.384615) / 0.00395833)
PV = $1,803 x (0.615385 / 0.00395833)
PV = $279,458.68
Rounding to the nearest dollar, the original loan amount for this fully amortizing loan is $279,459.
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air destinations issues a bond due in 10 years with a stated interest rate of 6% and a face amount of $500,000. interest payments are made semiannually. the market rate for this type of bond is 5%. what is the issue price of the bond (rounded to nearest whole dollar)
Based on the provided informations, the issue price of the bond is calculated to be $430,204, ( nearest whole dollar ).
To calculate the issue price of the bond, we need to find the present value of the future cash flows from the bond, which include the semiannual interest payments and the face amount at maturity.
Calculate the semiannual interest payment:
Interest rate = 6% / 2 = 3% per half-year
Semiannual interest payment = 3% x $500,000 = $15,000
Calculate the number of semiannual periods:
Number of semiannual periods = 10 years x 2 = 20 semiannual periods
Calculate the present value of the semiannual interest payments using the formula for the present value of an annuity:
PV of semiannual interest payments = $15,000 x (1 - 1/(1 + 5%/2)^20) / (5%/2) = $207,223.26
Calculate the present value of the face amount using the formula for the present value of a single amount:
PV of face amount = $500,000 / (1 + 5%/2)^20 = $222,980.94
Calculate the issue price of the bond by adding the present values of the interest payments and face amount:
Issue price = $207,223.26 + $222,980.94 = $430,204.20
Therefore, the issue price of the bond is $430,204, rounded to the nearest whole dollar.
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bonds accrue interest until they have been repaid on or before the ______ date.
Bonds continue to earn interest until they are paid off on the bond maturity date or earlier. The first day of any interest rate period and each interest payment date that follows, excluding the final interest payment date, are referred to as the "Interest Accrual Date."
Interest starts to accrue when a loan is made or a bond's coupon is paid. A bond is a type of debt obligation in which the lender, or owner, is compensated with interest payments. The coupons for this interest are normally paid every six months. Savings bonds produce monthly interest. The bond's interest rate is applied to a fresh principal amount every six months because interest is compounded semiannually.
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Bonds accrue interest until they have been repaid on or before the maturity date.
The maturity date refers to the moment in time when the principal of a fixed income instrument must be repaid to an investor. The maturity date likewise refers to the due date on which a borrower must pay back an installment loan in full.
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which of the following are relative measures of sales and profits? (choose every correct answer.) multiple select question. a firm's net profit from lowered prices a firm's growth as compared to other companies a firm's total global sales a firm's increase in sales over the prior year
The relative measures of sales and profits are B. a firm's growth as compared to other companies and D. a firm's increase in sales over the prior year.
Relative measures of sales and profits compare a company's performance to a benchmark, such as industry standards or the performance of other companies. Option B, a firm's growth as compared to other companies, is a relative measure as it involves comparing a company's growth to the growth of its competitors or industry peers. This helps to evaluate a company's performance within its market and industry context.
Option D, a firm's increase in sales over the prior year, is also a relative measure as it compares a company's current sales to its own past performance. This enables the assessment of the company's growth trajectory and can help identify trends or changes in its business performance over time.
Options A and C are not relative measures. Option A, a firm's net profit from lowered prices, is an absolute measure as it indicates a specific amount of profit and does not involve any comparison to other companies or benchmarks. Option C, a firm's total global sales, is also an absolute measure, as it represents the total sales generated by the company without any comparison to other entities or benchmarks. Therefore, the correct option is B. and D.
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which of the following are relative measures of sales and profits? (choose every correct answer.) multiple select question.
A. a firm's net profit from lowered prices
B. a firm's growth as compared to other companies
C. a firm's total global sales
D. a firm's increase in sales over the prior year
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Question 3 (13 marks) a. The maturity of a futures contract on a stock market index is 1 year. The multiplier for the futures contract $50. The current level of the index is 30,000. The risk-free rate is 0.5% per month and dividend yield on the stock market index is 0.3% per month. The initial margin requirement is 10%. i. What is the parity value of the futures price now? (3 marks) ii. Assume the futures contract is fairly priced. How much initial margin you need to deposit if you long 1 contract? (2 marks) iii. Calculate the two-month holding-period return for your long position in the futures contract if the stock market index increases to 31,000 two months later. Assume the futures contract keeps being priced fairly. (5 marks) b. William sells six July futures contracts on coffee. Each contract is for the delivery of 37,500 pounds. The current futures price is $2.2565 per pound. The initial margin is $9,900 per contract and the maintenance margin is $9,000 per contract. What is the futures price per pound that would lead a margin call? (3 marks)
A(i) The parity value of the futures price now is $30,303.03.
(ii) You would need to deposit 10% of $1,500,000, which is $150,000, as initial margin.
(iii) The holding-period return is 0.0128 or 1.28%.
B) The futures price per pound falls to -$1.18, a margin call would be triggered.
i.F = S0 * e^((r-d)*T)where F is the futures price, S0 is the current spot price of the index, r is the risk-free rate, d is the dividend yield, and T is the time to maturity of the futures contract in years.
In this case, F = S0 * e^((r-d)*T) = 30,000 * e^((0.005-0.003)*1) = 30,303.03.Therefore, the parity value of the futures price now is $30,303.03.
ii. The initial margin requirement is 10% of the contract value, which is $50 * 30,000 = $1,500,000. Therefore, if you long 1 contract, you would need to deposit 10% of $1,500,000, which is $150,000, as initial margin.
iii. The two-month holding-period return for a long position in the futures contract can be calculated using the formula:
HPR = (F1 - F0 + D) / (F0 + IM)
where HPR is the holding-period return, F1 is the futures price at the end of the holding period, F0 is the initial futures price, D is the total dividend received during the holding period, and IM is the initial margin.
In this case, F0 = 30,303.03, F1 = 31,000, D = 0.003 * 2 * 30,000 = $1,800, and IM = $150,000.
Therefore, the holding-period return is:
HPR = (31,000 - 30,303.03 + 1,800) / (30,303.03 + 150,000) = 0.0128 or 1.28%.
b. To calculate the futures price per pound that would lead to a margin call, we need to use the formula:
F = (MM - V) / Q
where F is the futures price per pound that would lead to a margin call, MM is the maintenance margin per contract, V is the value of the contract, and Q is the quantity of the underlying asset per contract.
In this case, MM = $9,000, V = $2.2565 * 37,500 = $84,468.75, and Q = 37,500. Therefore,
F = (9,000 - 84,468.75) / 37,500 = -$1.18 per pound.
This means that if the futures price per pound falls to -$1.18, a margin call would be triggered. However, it's worth noting that futures prices cannot be negative in reality, and this is only a theoretical calculation based on the formula.
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which of the following is a disadvantage of a sole proprietorship? multiple choice entrenched management. double taxation. unlimited liability. excessive regulation.
The disadvantage of a sole proprietorship is unlimited liability. Option B is correct.
Unlimited liability means that the owner of a sole proprietorship is personally responsible for all debts and legal obligations of the business. This means that if the business incurs a debt that it cannot pay, the owner's personal assets can be seized to satisfy the debt. This puts the owner at risk of losing personal assets such as a house, car, or savings, and can create a significant financial burden for the owner.
Entrenched management, double taxation, and excessive regulation are not disadvantages of a sole proprietorship. Entrenched management refers to a situation where top management has too much power and cannot be easily replaced, but this is not a relevant concern for a sole proprietorship where the owner is also the sole manager.
Double taxation refers to a tax on both corporate profits and dividends to shareholders, but this does not apply to sole proprietorships since they are not separate legal entities from the owner. Excessive regulation can be a concern for businesses in general, but sole proprietorships are typically subject to less regulation than larger corporations. Option B is correct.
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the sound shack borrowed 19,000 at the 8.5 simple interest over a 36 month period what is the total interest and value of the loan at maturity?
The total interest and value of the loan at maturity for The Sound Shack, which borrowed $19,000 at 8.5% simple interest over a 36-month period, is $4,845 and $23,845.
Total interest rate can be calculated as-
1. Convert the interest rate to a decimal: 8.5% = 0.085
2. Convert the loan period to years: 36 months ÷ 12 months/year = 3 years
3. Calculate the total interest: Principal x Interest Rate x Time = $19,000 x 0.085 x 3 = $4,845
4. Calculate the value of the loan at maturity: Principal + Interest = $19,000 + $4,845 = $23,845
The total interest on the loan is $4,845 and the value of the loan at maturity is $23,845.
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Q2what value had freshippo created for its customers
Freshippo's emphasis on high-quality products, convenience, and innovative use of technology has helped to create significant value for its customers, which has contributed to its rapid growth and success in the highly competitive Chinese retail market.
How Freshippo has created significant value for its customers?Freshippo, also known as Hema, has created significant value for its customers by revolutionizing the grocery shopping experience in China through the integration of online and offline channels, offering high-quality products, and providing convenient and fast delivery options.
One of the key value propositions of Freshippo is its emphasis on fresh and high-quality products, which are sourced directly from producers and suppliers, and delivered to stores on a daily basis. This allows customers to purchase fresh products that are often cheaper than those found in traditional supermarkets.
Another major value proposition is the integration of online and offline channels, which allows customers to shop for groceries online and have them delivered to their doorstep within 30 minutes, or pick them up at the store. This is particularly appealing to time-pressed urban consumers, who value convenience and fast service.
Moreover, Freshippo has also created value for its customers through its innovative use of technology, such as mobile payment systems and facial recognition technology, which simplifies the payment process and enhances security.
Overall, Freshippo's emphasis on high-quality products, convenience, and innovative use of technology has helped to create significant value for its customers, which has contributed to its rapid growth and success in the highly competitive Chinese retail market.
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it is extremely important to document any changes in technical specifications that might affect product performance. true false
It is true that it is extremely important to document any changes in technical specifications that might affect product performance to ensure that the product is produced and meets required quality standards.
What is a product?A product can be a physical item, a service, or a combination of both. Products can range from consumer goods such as clothing, electronics, and food to industrial goods such as machinery and equipment. In the digital age, products can also include software, apps, and digital content. Creating a successful product requires market research, understanding customer needs, and developing a unique value proposition. The product must also be designed, developed, tested, and launched in a way that maximizes its potential for success. Marketing and advertising strategies are also crucial in promoting the product and reaching the target audience. Ultimately, a successful product delivers value to customers and generates revenue for the company.
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b) Leigh Delight Candy Berhad is choosing between two bonds in which to invest their cash. One is being offered from Hershey's and will mature in 15 years and pay RM40 each quarter. The other alternative is a Mars' bond that will mature in 18 years and pay RM50 each quarter. Compute the present value of each bond if the discount rate is 12% compounded quarterly, and each bond pays RM1,000 at maturity.
Leigh Delight Candy Berhad should invest in the Mars' bond as it has a higher present value than the Hershey's bond at a 12% quarterly compounded discount rate. The present value of the Hershey's bond is RM2,536.74 and the present value of the Mars' bond is RM2,892.01.
What is the present value of Hershey's and Mars' bonds and which one should Leigh Delight Candy Berhad invest in?To compute the present value of each bond, we can use the formula:
PV = (C/r) x [1 - (1 + r)^(-n)]
Where PV is the present value, C is the coupon payment per quarter, r is the discount rate per quarter, and n is the number of quarters until maturity.
For the Hershey's bond, C = RM40, r = 0.03 (12%/4), n = 60 (15 years x 4 quarters per year). Plugging these values into the formula, we get:
PV = (40/0.03) x [1 - (1 + 0.03)^(-60)]
PV = RM2,536.74
So the present value of the Hershey's bond is RM2,536.74.
For the Mars' bond, C = RM50, r = 0.03, n = 72 (18 years x 4 quarters per year). Plugging these values into the formula, we get:
PV = (50/0.03) x [1 - (1 + 0.03)^(-72)]
PV = RM2,892.01
So the present value of the Mars' bond is RM2,892.01.
Therefore, if Leigh Delight Candy Berhad is choosing between these two bonds, they should invest in the Mars' bond as it has a higher present value than the Hershey's bond at a 12% quarterly compounded discount rate.
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Activity Description Each student needs to select a local or regional (GCC) entrepreneurial business project and discuss the followings: Each student is requested to complete the following tasks: - Select a local or regional (GCC) entrepreneurial business project Conduct a brief summary of the business Entrepreneur background (Personal Characteristics). Develop the business main constraints and challenges. Analyze the business opportunities. Link theories to practice and own suggestions to improve. Use supporting diagrams.
The activity description requires students to select an entrepreneurial business project from the local or regional (GCC) area and complete a series of tasks.
Firstly, they are required to conduct a brief summary of the business, including information about the entrepreneur's background and personal characteristics.
Secondly, they need to identify and develop the main constraints and challenges faced by the business.
Thirdly, they must analyze the business opportunities that exist within the chosen industry or market.
Fourthly, they must link theories to practice and provide their own suggestions for how the business could improve.
Finally, they are requested to use supporting diagrams to help illustrate their findings.
This assignment provides an excellent opportunity for students to gain a deeper understanding of entrepreneurship, and to develop their critical thinking and analytical skills by applying theoretical concepts to real-world situations.
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burke's corner currently sells blue jeans and t-shirts. management is considering adding fleece tops to its inventory to provide a cooler weather option. the tops would sell for $46 each with expected sales of 4,650 tops annually. by adding the fleece tops, management feels the firm will sell an additional 320 pairs of jeans at $58 a pair and 455 fewer t-shirts at $19 each. the variable cost per unit is $29 on the jeans, $9 on the t-shirts, and $24 on the fleece tops. with the new item, the depreciation expense is $26,000 a year and the fixed costs are $79,500 annually. the tax rate is 24 percent. what is the project's operating cash flow?
Burke's corner currently sells blue jeans and t-shirts and the project's operating cash flow is $27,010.80.
How to find the project's operating cash flowTo calculate the project's operating cash flow, we need to find the net income and add back the depreciation expense.
First, let's calculate the revenues and variable costs for each item:
Fleece tops revenue: 4,650 tops * $46 = $213,700
Fleece tops variable cost: 4,650 tops * $24 = $111,600
Additional jeans revenue: 320 pairs * $58 = $18,560
Additional jeans variable cost: 320 pairs * $29 = $9,280
Reduced t-shirts revenue: 455 shirts * $19 = $8,645
Reduced t-shirts variable cost: 455 shirts * $9 = $4,095
Now, let's find the net income:
Total revenue: $213,700 (fleece tops) + $18,560 (jeans) - $8,645 (t-shirts) = $223,615
Total variable cost: $111,600 (fleece tops) + $9,280 (jeans) - $4,095 (t-shirts) = $116,785
Total fixed cost: $79,500
Depreciation expense: $26,000
Operating income (before taxes): $223,615 - $116,785 - $79,500 - $26,000 = $1,330
Taxes: $1,330 * 24% = $319.20
Net income: $1,330 - $319.20 = $1,010.80
Operating cash flow:
Net income + Depreciation expense = $1,010.80 + $26,000 = $27,010.80
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Anne-Marie and Yancy calculate their current living expenditures to be $65,000 a year. During retirement they plan to take one cruise a year that will cost $6,000 in today's dollars. Anne- Marie estimated that their average tax rate in retirement would be 12 percent. Yancy estimated their Social Security income to be about $21,000 and their retirement benefits are approximately $33,000. Use this information to answer the following questions: a. How much tax-adjusted income, in today's dollars, will Anne-Marie and Yancy need in retirement assuming 90 percent replacement and an additional $6,000 for the cruise? b. Calculate their projected annual income shortfall in today's dollars. c. Determine, in dollars, the future value of the annual income shortfall 30 years from now, assuming an inflation rate of 5 percent. d. Assuming an 8 percent nominal rate of return and 25 years in retirement, calculate their necessary total & annual investment to reach their retirement goals.
This is calculated by taking their annual income shortfall of $15,400 and multiplying it by the future value of 1/0.08^25 to account for an 8 percent nominal rate of return over 25 years.
a. Anne-Marie and Yancy will need $80,400 in today's dollars to cover their living expenses and the cruise. This is calculated by adding their estimated living expenses of $65,000 to their estimated $6,000 cruise cost and then subtracting the 12 percent tax rate for a total of $80,400.
b. Their projected annual income shortfall is $15,400, which is calculated by subtracting their estimated Social Security income and retirement benefits of $54,000 from the estimated tax-adjusted income of $80,400.
c. The future value of the annual income shortfall 30 years from now is $58,213. This is calculated by taking the annual income shortfall of $15,400 and multiplying it by 1.05^30 to account for inflation of 5 percent.
d. To reach their retirement goals, Anne-Marie and Yancy will need a total investment of $1,250,000 and an annual investment of $25,000. This is calculated by taking their annual income shortfall of $15,400 and multiplying it by the future value of 1/0.08^25 to account for an 8 percent nominal rate of return over 25 years.
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QUESTION 1 What is the present worth of the following series of income & disbursements if the interest rate is 8% per year? Year -Income- -Expense 0 12,000- 000 1-3 -800 400 4-8- -900-- ---800 5578 73
The present worth of the series of income and disbursements is $5,422.24 at an interest rate of 8% per year.
To calculate the present worth of the income and disbursements series, we need to use the present value formula. We can use the formula to find the present value of each cash flow and then sum up all the present values.
Here's how we can calculate the present worth of the series:
1. Calculate the present value of the income in year 0:
[tex]PV_0 = Income / (1 + r)^n\\PV_0 = 12,000 / (1 + 0.08)^0\\PV_0 = 12,000[/tex]
2. Calculate the present value of the expenses in years 1-3:
[tex]PV1-3 = -800 / (1 + 0.08)^1 + (-800) / (1 + 0.08)^2 + (-800) / (1 + 0.08)^3\\PV1-3 = -2,147.05[/tex]
3. Calculate the present value of the expenses in years 4-8:
[tex]PV4-8 = (-900) / (1 + 0.08)^4 + (-900) / (1 + 0.08)^5 + (-900) / (1 + 0.08)^6 + (-900) / (1 + 0.08)^7 + (-800) / (1 + 0.08)^8\\PV4-8 = -4,430.71[/tex]
4. Calculate the net present value of the series:
NPV = PV0 + PV1-3 + PV4-8
NPV = 12,000 - 2,147.05 - 4,430.71
NPV = 5,422.24
Therefore, the present worth of the series of income and disbursements is $5,422.24 at an interest rate of 8% per year.
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Multiple Choice Questions1. The primary aim of many hedge funds is to:a) Increase exposure to foreign investments.b) Minimize risk and deliver positive returns under all marketconditions.c) Avoid cumbersome regulation.d) Generate the highest return possible.2. Assets within a hedged structure of a long/short equity fund are ideally:a) Exposed to stock picking risk only.b) Exposed to both stock picking and market risk.c) Exposed to market risk only.d) Risk-free.
1. The primary aim of many hedge funds is to b. minimize risk and deliver positive returns under all market conditions. 2. Assets within a hedged structure of a long/short equity fund are ideally to a. expose the assets within the fund to stock picking risk.
Hedge funds employ various strategies and techniques, such as short-selling and using derivatives, to achieve this goal. Their main objective is to generate consistent returns regardless of the overall market performance, thus providing a level of protection for investors during market downturns.
This type of fund combines long positions in undervalued stocks with short positions in overvalued stocks, seeking to profit from both. By taking both long and short positions, the fund can potentially achieve positive returns irrespective of the market conditions, as the long positions will benefit from the increase in stock prices while the short positions will profit from the decrease in stock prices. This strategy allows the fund to be less exposed to overall market risk and focus on identifying and capitalizing on individual stock opportunities.
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