The effective annual rate for this Treasury bill is approximately 2.31% (Option E).
How to calculate effective annual rateTo determine the effective annual rate (EAR) for a Treasury bill with 45 days left to maturity and a bank discount yield of 2.25%, we can use the following formula:
EAR = [(1 + (Bank Discount Yield × (Days to Maturity / 360)) / (1 - Bank Discount Yield × (Days to Maturity / 360))] ^ (365 / Days to Maturity) - 1
Plugging in the values:
EAR = [(1 + (0.0225 × (45 / 360)) / (1 - 0.0225 × (45 / 360))] ^ (365 / 45) - 1
After calculating, we get:
EAR ≈ 0.0231 or 2.31%
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Calculate the future value of a $5,000 annuity that you will invest at the end of each of the next 15 years, assuming you can earn a 10% compounded annual return. Compare that result with the future value assuming that the amounts are deposited at the beginning of each period (annuity due).
The future value of the annuity due is $167,260.
By comparison the annuity due results in a higher future value due to the additional compounding.
How to calculate the future value of an annuity?To calculate the future value of an annuity, we can use the following formula:
FV = Pmt x ((1 + r)^n - 1) / r
Where:
Pmt = the amount of each payment
r = the interest rate per period
n = the number of periods
For this problem, we have Pmt = $5,000, r = 10%, and n = 15.
Using the formula for an ordinary annuity (payments made at the end of each period), we get:
FV = $5,000 x ((1 + 0.10)^15 - 1) / 0.10
FV = $5,000 x (4.046 - 1) / 0.10
FV = $5,000 x 30.46
FV = $152,300
Therefore, the future value of the annuity is $152,300.
Now, to calculate the future value of an annuity due (payments made at the beginning of each period), we can use a slightly different formula:
FV = Pmt x ((1 + r)^n - 1) / r x (1 + r)
Where the additional (1 + r) term accounts for the fact that the first payment is made at the beginning of the period.
Using this formula, we get:
FV = $5,000 x ((1 + 0.10)^15 - 1) / 0.10 x (1 + 0.10)
FV = $5,000 x (4.046 - 1) / 0.10 x 1.10
FV = $5,000 x 30.46 x 1.10
FV = $167,260
Therefore, the future value of the annuity due is $167,260.
Comparing the two values, we can see that the annuity due results in a higher future value due to the additional compounding effect from the first payment being made at the beginning of the period.
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Corp. A just paid a dividend of $0.50 per share. It is expected to increase its dividend by 2% per year. If the market requires a return of 15% on assets of this risk, how much should the stock be selling for?
The stock should be selling for $3.85 per share.
To calculate the stock's current price, we need to use the dividend discount model, which is based on the present value of future dividend payments. The formula for the present value of a growing perpetuity is:
PV = D / (r - g)
Where PV is the present value of the perpetuity, D is the current dividend per share, r is the required rate of return, and g is the expected growth rate of the dividend.
In this case, the current dividend is $0.50 per share, and the expected growth rate is 2%. The required rate of return is 15%. Using these values, we can calculate the stock's price as:
PV = $0.50 / (0.15 - 0.02) = $3.85
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CAPITAL ASSET PRICING MODEL
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 7% (seven percent) and the expected return for the market is 15% (fifteen percent). DATA Stock Beta A 0.55 B 0.63 C 1.25 Risk-free rate 7% Market rate 15%
Stock Returns A B C
According to the CAPM, the appropriate required rate of return for Stock A is 11.4%, for Stock B is 12.04%, and for Stock C is 17%.
The Capital Asset Pricing Model (CAPM) estimates the required rate of return for an investment based on its level of risk, as measured by its beta, and the expected return of the overall market. The formula for the required rate of return is:
Required rate of return = Risk-free rate + (Beta x (Market rate - Risk-free rate))
A: 1.Required return=7+0.55*(15-7)=11.4%
B: 2.Required return=7+0.63*(15-7)=12.04%
C: 3.Required return=7+1.25*(15-7)=17%
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The appropriate required rate of return for Stock A is 11.6%, for Stock B is 12.6%, and for Stock C is 18%.
We apply the Capital Asset Pricing Model (CAPM) to calculate the needed rate of return using the following formula:
Required rate of return = Risk-free rate + Beta × (Market rate - Risk-free rate)
We can get the needed rate of return for each stock using the information provided:
For Stock A: Required rate of return = 7% + 0.55 × (15% - 7%) = 11.6%
For Stock B: Required rate of return = 7% + 0.63 × (15% - 7%) = 12.6%
For Stock C: Required rate of return = 7% + 1.25 × (15% - 7%) = 18%
Therefore, based on the given information and using the CAPM, the appropriate required rate of return for Stock A is 11.6%, for Stock B is 12.6%, and for Stock C is 18%.
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t which method of calculating inventory cost is used to estimate the amount of ending inventory? a. last in, first out (lifo) b. first in, first out (fifo) c. weighted average method d. gross profit method
The first in first out (FIFO) method of calculating inventory cost is used to estimate the amount of ending inventory. Thus, the accurate answer is option (B).
First in, first out, or FIFO, is an uncomplicated technique of inventory valuation based on the presumption that the first items bought or produced are sold first. This implies that older inventory is distributed to customers before fresh inventory, in theory.
To determine the number of units in ending inventory at the conclusion of each accounting period, the corporation performs a physical count. The cost of ending inventory is then calculated using the first-in, first-out (FIFO) technique by the company.
Therefore, option B is the appropriate response.
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The Gross Profit Method is used to estimate the cost of ending inventory. This method is suitable when a physical inventory count isn't feasible or a prompt inventory cost estimate is needed for accounting purposes.
Explanation:The method of calculating inventory cost that is used to estimate the amount of ending inventory is the Gross Profit Method. This method is used when a physical count of the inventory is impracticable or when an immediate estimate of inventory cost is required for financial reporting purposes.
Under the gross profit method, the cost of goods available for sale is assumed to be the sum of the beginning inventory and the cost of goods purchased. The gross profit is then estimated based on historical profit margin percentages, and this estimate is subtracted from the cost of goods available for sale to approximate the cost of the Ending Inventory. For instance, if the beginning inventory is $10,000, the cost of goods purchased is $30,000, and the gross profit margin is 40%, the estimated cost of ending inventory would be $24,000 (($10,000+$30,000)×(1-0.40)).
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which tracking method is best for teams with a lot of people and projects with many tasks or milestones that are dependent on one another?
For teams with a lot of people and projects with many tasks or milestones that are dependent on one another, the best tracking method is a project management tool that supports a Gantt chart.
A Gantt chart is a bar chart that illustrates a project schedule. It shows the start and end dates of each task, as well as the dependencies between them. This visual representation allows project managers to see the progress of each task, identify any delays, and adjust the schedule accordingly. Gantt charts can also be used to track resources and costs, making them an effective tool for managing complex projects with multiple dependencies.
There are many project management tools that support Gantt charts, such as Asana, Trello, Microsoft Project, and Smartsheet. These tools allow team members to collaborate in real-time, assign tasks to specific individuals, and set deadlines for each task. They also provide alerts and notifications to ensure that everyone is on track and aware of any changes to the schedule.
Overall, using a project management tool with a Gantt chart is the best tracking method for teams with a lot of people and projects with many tasks or milestones that are dependent on one another. It provides a clear visual representation of the project schedule and allows team members to collaborate effectively, ensuring that the project is completed on time and within budget.
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george jones is planning on a cruise for his 70th birthday party. he wants to know how much he should set aside at the end of each month at 6% interest to accumulate the sum of $4,800 in five years. he should use a calculation involving the:
George should set aside $83.42 at the beginning of each month for five years at 6% interest to accumulate the sum of $4,800.
To calculate how much George should set aside each month to accumulate the sum of $4,800 in five years at 6% interest, he should use the table for the Future Value of an Ordinary Annuity of $1. The formula for calculating the monthly payment required is:
Payment = (FV * r) / ((1+r)^n - 1)
Where FV is the future value, r is the interest rate per period, and n is the number of periods.
Plugging in the values, we get:
Payment = (4,800 * 0.06) / ((1+0.06)^5 - 1)
Payment = $83.42
Therefore, George should set aside $83.42 at the beginning of each month for five years at 6% interest to accumulate the sum of $4,800.
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by providing products that satisfy people's needs, a business hopes to satisfy its primary goal of earning a
By providing products that satisfy people's needs, a business hopes to satisfy its primary goal of earning a profit.
When a business is able to meet the needs and desires of its customers, they are more likely to return and make repeat purchases, leading to increased sales and revenue. This, in turn, allows the business to invest in further product development, marketing, and expansion, ultimately leading to greater success and their profit. However, it is important for businesses to also consider ethical and sustainable practices in order to maintain long-term success and a positive reputation. This is achieved through generating revenue, managing expenses, and meeting customer demands effectively. By focusing on satisfying customer needs, the business can build a strong reputation, attract and retain customers, and ultimately increase its profitability.
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By providing products that satisfy people's needs, a business hopes to satisfy its primary goal of earning a profit.
What is profit?Profit is the money earned by a business when its total revenue exceeds its total expenses. Any profit a company generates goes to its owners, who may choose to distribute the money to shareholders as income or allocate it back into the business to finance further company growth.
It is crucial for a business to identify the needs and wants of its target audience and develops products or services that address those needs effectively.
The more a business can meet the needs of its customers, the more likely they are to purchase their products and become loyal customers. Therefore, a business's success largely depends on its ability to provide products that satisfy people's needs.
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the corporate officer identified who has custody of the company's funds and is generally responsible for planning and controlling the company's cash position is the:
The corporate officer who has custody of the company's funds and is responsible for planning and controlling the company's cash position is known as the Chief Financial Officer (CFO).
The CFO is a high-level executive who oversees the financial operations of the company, including financial planning, budgeting, accounting, and reporting. They also manage the company's investments, debt, and other financial resources to ensure the company has enough cash to operate and grow.
The CFO works closely with other senior executives, such as the CEO and COO, to make strategic financial decisions that impact the company's future. They must have a strong understanding of financial markets, accounting principles, and business operations to effectively manage the company's financial position. The CFO is also responsible for ensuring the company complies with all financial regulations and reporting requirements.
In summary, the CFO is the corporate officer who has custody of the company's funds and is responsible for planning and controlling the company's cash position. They play a critical role in ensuring the financial health and success of the company.
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Terms of trade that are beneficial to both parties are those terms, or prices, that are ___ the two parties opportunity cost
Terms of trade that are beneficial to both parties are those terms, or prices, that are below the two parties' opportunity cost.
The opportunity cost is the cost of the next best alternative that is given up in order to pursue a certain action. When two countries engage in trade, they do so because each country has a comparative advantage in producing a certain good.
Comparative advantage means that a country can produce a good at a lower opportunity cost than another country. By trading with each other, they can both benefit from consuming a greater quantity and variety of goods than they would be able to produce domestically.
In order for both parties to benefit from the trade, the terms of trade must be such that the price paid for the imported good is lower than the opportunity cost of producing that good domestically. This allows both parties to consume more of both goods than they would have been able to do otherwise.
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Consider a bond that has duration equal to 6 years, coupon rate 4.5%, yield to maturity 3.7% and convexity of 49. Determine the estimated relative change in bond price if interest rates increase by 0.8 percentage points.
The estimated relative change in bond price if interest rates increase by 0.8 percentage points is approximately -4.35%.
To calculate the estimated relative change in bond price, we use the modified duration formula:
Estimated relative change in bond price = -Modified duration x Change in yield + 0.5 x Convexity x (Change in yield)²
Plugging in the given values:
-Modified duration = -6
Change in yield = 0.008
Convexity = 49
Estimated relative change in bond price = (-6) x (0.008) + 0.5 x (49) x (0.008)²
= -0.0528 + 0.00196
= -0.0508 or -4.35%
Therefore, if interest rates increase by 0.8 percentage points, we can expect the bond price to decrease by approximately 4.35%.
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An investor bought a European call option on a stock and delta-hedged with the stock. Later on, but before expiry of the option, she closed the position. You are given:
• -The stock was worth 40 when the call option was bought and 50 when it was sold.
• -The call was worth 4.25 when it was bought and 9.30 when it was sold.
a. -A European put option with the same strike price and expiry was worth 8.50 when the call option was bought and 5.80 when it was sold.
b. -Δcall was 0.3 when the call option was bought.
c. -The stock pays no dividends.
Determine the amount of profit, including interest, made by the investor.
Hint: With the odd assortment of information provided, you need to somehow figure out what r and T – t are equal to
To determine the profit made by the investor who bought a European call option and delta-hedged with the stock, we need to consider the following information: the initial delta (-Δcall) of the call option was 0.3 when bought. The investor closed the position before the option's expiry.
The investor delta-hedged by buying 0.3 shares of the stock for every call option.As the position is closed before the option's expiry, we need to consider the change in the stock price and the change in the call option's price during this period.
Calculate the profit made from the change in the stock price (0.3 * change in stock price) and the change in the call option's price. Add the interest earned during the holding period, which requires knowing the interest rate (r) and the time to expiry (T - t).
Since we do not have enough information to determine the interest rate (r) and the time to expiry (T - t), it is not possible to provide an exact amount of profit, including interest, made by the investor.
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Charlotte's Crochet Shoppe has 10100 shares of common stock outstanding at a price per share of $61 and a rate of return of 11.05 percent, The company also has 300 bonds outstanding, with a par value of $1,000 per bond. The pretax cost of debt is 5.85 percent and the bonds tetor 93 percent of par. What is the firm's WACC if the tax rate is 34 percent? a. 9.84% b. 8.35% c. 9.43% d. 8.51% e. 8.81%
The answer is (c) 9.43%. The percentage of each source of funding in the company's capital structure and multiplying it by the cost of that source of funding is necessary to determine the Weighted Average Cost
Do 10700 shares of common stock belong to Charlotte's Crochet Shoppe?
10,700 shares of common stock are outstanding for Charlotte's Crochet Shoppe, with a share price of $63 and an annualised return of 11.13 percent. Additionally, the corporation has 320 outstanding bonds with a $1,000 par value. The bonds trade at 93.6% of par, with a pretax cost of debt of 5.89%.
Total market value of the company equals 10100 * 61 = 616,100.
Equity weight: 10100 * $61 / 616,100 = 1.00
Debt load equals debt value divided by the company's total market value.
Debt value is calculated as follows: Bond quantity multiplied by bond price and par value.
93% of the bond's par value, or 0.93 times $1,000, equals $930.
Debt value equals 300 * $1,000 * 930, or $279,000.
Debt weight equals $279,900 divided by $616,100, or 0.45
Equity Cost = Return Rate = 11.05%
Cost of debt is equal to Pretax cost of debt * (1 - Tax rate) = 5.85% * (1 - 0.34), which is 3.85%.
WACC is equal to the sum of the weights of equity and debt.
WACC = 1.00 * 11.05% + 0.45 * 3.85% = 9.43%
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Calculate and interpret the Macaulay and modified durations of a a) 3-year 10% semi-annual bond (Bond C) when the required yield is 10%, and a b) 3-year zero-coupon bond (Bond D) when the required yield is 10%
a) The main answer for Bond C's Macaulay duration is 2.5 years, and its modified duration is 2.45 years.
The Macaulay duration for Bond C can be calculated using the formula:
Macaulay duration = (C1 x t1 + C2 x t2 + C3 x t3 + … + Cn x tn) / P
where C is the cash flow, t is the time until the cash flow, and P is the bond price. For Bond C, the cash flows are $5 semi-annually for three years, and the bond price is $100. The calculation gives us a Macaulay duration of 2.5 years.
The modified duration for Bond C can be calculated using the formula:
Modified duration = Macaulay duration / (1 + (YTM / m))
where YTM is the yield to maturity, and m is the number of coupon payments per year. For Bond C, YTM is 10%, and m is 2 (since it pays semi-annually). Plugging in the values, we get a modified duration of 2.45 years.
Interpretation: Bond C has a Macaulay duration of 2.5 years, meaning that it will take 2.5 years for the bondholder to recoup the bond's price through its cash flows. The modified duration of 2.45 years indicates that the bond's price will decline by approximately 2.45% for every 1% increase in yield.
b) The main answer for Bond D's Macaulay duration is 3 years, and its modified duration is also 3 years.
The Macaulay duration for Bond D is simply the time to maturity of the bond, which is 3 years.
The modified duration for Bond D can be calculated using the same formula as for Bond C, since Bond D also has a yield to maturity of 10%. Plugging in the values, we get a modified duration of 3 years.
Interpretation: Bond D has a Macaulay duration of 3 years, indicating that it will take 3 years for the bondholder to recoup the bond's price through its cash flows. The modified duration of 3 years indicates that the bond's price will decline by approximately 3% for every 1% increase in yield.
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the presence of any of the following factors would suggest a switch to abc except whenselect answer from the options belowproduction managers are ignoring data provided by the existing system.the manufacturing process has changed significantly.overhead costs constitute a minor portion of total costs.product lines differ greatly in volume.
If any of the following factors are present, it would suggest a switch to ABC (activity-based costing) except for when production managers are ignoring data provided by the existing system.
The factors would suggest a switch to ABC (activity-based costing)The first factor is if the manufacturing process has changed significantly. This can affect the accuracy of the existing costing system and make it difficult to allocate costs properly.
The second factor is if overhead costs constitute a minor portion of total costs. ABC is particularly useful in identifying overhead costs and allocating them accurately to products or services.
Finally, if product lines differ greatly in volume, ABC can provide a more accurate cost allocation than traditional costing methods.
However, if production managers are ignoring data provided by the existing system, a switch to ABC may not be effective as it may also be ignored, rendering the entire exercise futile.
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what does this country imply for the relative importance of resources? rank the resources from the most important to least important in light of the success we observe in this fast-growing country.
These resources are ranked from most important to least important:
Human resources, Natural resources, Infrastructure, Financial resources, Technological resources and Environmental resources.
The country imply for the relative importance of resourcesIn this fast-growing country, the relative importance of resources can be inferred by analyzing the factors contributing to its economic success.
The following resources are ranked from most important to least important:
1. Human resources: A skilled and educated workforce plays a crucial role in driving economic growth through innovation, productivity, and competitiveness. Investments in education and training help the country in fostering talent and improving living standards.
2. Natural resources: These include minerals, oil, gas, and water, which are essential for various industries and sectors. The country's ability to utilize its natural resources sustainably can lead to increased revenue and a reduced dependence on imports.
3. Infrastructure: Well-developed infrastructure, such as transport, communication, and energy systems, supports economic growth by enabling the smooth flow of goods, services, and information. This ensures the efficient functioning of markets and encourages investments.
4. Financial resources: Access to capital and a stable financial system allow businesses to grow and innovate. The availability of investment funds and an effective banking system are vital for fostering entrepreneurship and supporting economic expansion.
5. Technological resources: The adoption of advanced technology enhances productivity, facilitates innovation, and enables businesses to compete on a global scale. Technological advancements can also improve the quality of life for citizens and contribute to sustainable development.
6. Environmental resources: Ensuring the protection and sustainable use of environmental resources is crucial for long-term economic growth. Clean air, water, and healthy ecosystems support human well-being and contribute to a stable climate, which is essential for agriculture and other industries
. By prioritizing these resources, the fast-growing country can continue to achieve economic success and maintain a high quality of life for its citizens.
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assume the quark division has enough idle capacity to fill the 1,000-unit order. is the division likely to accept the $340 price or to reject it?
The quark division is likely to reject the $340 price.
Since the question does not provide information about the variable cost or fixed cost associated with the production of the 1,000-unit order, we cannot determine the profitability of accepting the $340 price.
However, if the price is lower than the total cost of production, the division would likely reject it to avoid incurring losses. Moreover, even if the price is above the total cost of production, the division may still reject it if it believes it can obtain a higher price from alternative buyers.
Therefore, without more information about the cost structure and market conditions, it is difficult to determine the division's decision.
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A. A reduction in the price of donuts will cause ________ for donuts.
B. An increase in consumer income will cause ________ for donuts (a normal good)
A. A reduction in the price of donuts will cause an increase in the demand for donuts. This is because the price of donuts is a determining factor in the quantity of donuts that consumers are willing to purchase. When the price of donuts decreases, consumers are more likely to buy them as they become more affordable.
This results in an increase in the demand for donuts.
B. An increase in consumer income will also cause an increase in the demand for donuts as they are considered a normal good. A normal good is a product whose demand increases as consumer income increases.
When consumers have more disposable income, they are more likely to spend it on goods and services that they enjoy, such as donuts. This increase in demand can be further attributed to the fact that consumers may view donuts as a luxury item, and therefore are more likely to purchase them when they have extra money to spend.
In summary, both a reduction in the price of donuts and an increase in consumer income can lead to an increase in the demand for donuts. Understanding how these factors impact the demand for specific goods is crucial for businesses that want to maximize their profits and stay competitive in the market.
Fariey Inc. has perpetual preferred stock outstanding that sells for $46 a share and pays a dividend of $3.25 at the end of each year. What is the required rate of return? Round your answer to two decimal places. %
The perpetual preferred stock of Fariey, Inc. has a required rate of return of 7.07%. Given the stock's current market value and projected dividends, this is the minimal return that investors would demand in order to purchase it.
The required rate of return for Fariey, Inc.'s perpetual preferred stock can be calculated using the dividend discount model formula:
Required rate of return = Dividend / Stock price
In this case, the annual dividend is $3.25 and the stock price is $46 per share.
Required rate of return = $3.25 / $46 = 0.07065 or 7.07% (rounded to two decimal places)
Therefore, the required rate of return for Fariey, Inc.'s perpetual preferred stock is 7.07%. This is the minimum return that investors would require to invest in this stock, considering its current market price and expected dividends.
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f a company has $100,000 in revenue, $20,000 in equipmentdepreciation and $10,000 in deductions, what is their taxableincome?
The company's taxable income is $70,000
How to calculate the taxable income of a company?To calculate the taxable income of a company, we need to start with its total revenue and subtract all the allowable deductions and expenses.
In this case, the company's revenue is $100,000, and it has $20,000 in equipment depreciation and $10,000 in deductions.
Therefore, the company's taxable income can be calculated as follows:
Taxable income = Revenue - Depreciation - Deductions
Taxable income = $100,000 - $20,000 - $10,000
Taxable income = $70,000
So the company's taxable income is $70,000. This means that they will be taxed on this amount according to the tax laws and regulations in their jurisdiction.
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Q4. The FTSE100 on March 15, 2020 trades at 5790 points. The 9-month UK T-bill rate is 0.40% and the dividend yield of the FTSE100 is estimated at 3.5%. The rates are expressed in discrete compounding. Determine the futures price on FTSE 100 for a contract with December 2020 delivery: (a) 5654.85 (b) 5924.10 (C) 5958.54 (d) None of the above
The futures price on FTSE 100 for a contract with December 2020 delivery is 5654.85. The answer is (a).
To determine the futures price on FTSE 100 for a contract with December 2020 delivery, we need to use the following formula:
[tex]F = S * e^{[(r - q)T][/tex]
where:
F = futures price
S = spot price (in this case, the FTSE100 on March 15, 2020, which is 5790)
r = risk-free interest rate (the 9-month UK T-bill rate, which is 0.40%)
q = dividend yield (estimated at 3.5% for the FTSE100)
T = time to delivery (which is 9/12, or 0.75)
Plugging in the numbers, we get:
[tex]F = 5790 * e^{[(0.004 - 0.035) * 0.75][/tex]
[tex]F = 5790 * e^{[-0.02325][/tex]
F = 5790 * 0.97706
F = 5654.85
So the answer is (a) 5654.85.
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C-2. For each predictor variable, state the p-value and determine whether the predictor variable is significant in explaining Time
In linear models, predictor p-values provide a pointer to the statistical significance of a predictor coefficient value; they measure the likelihood that a randomly shuffled model could have produced a coefficient as large as the fitted value.
A low p-value (0.05) suggests that the null hypothesis can be rejected. In other words, a low p-value predictor is likely to be a useful addition to your model because changes in the predictor's value are associated to changes in the response variable. If the P-value is less than 0.05, we can reject the null hypothesis and infer that the variables are related.
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1) Kim is a salesperson at the PEAR computer company. The utility function of Kim is given by u(w, b, e) = w+b-c(e) where w E R is Kim's weekly wage, b is a bonus payment that is conditional on sales revenue, and c(e) is Kim's cost of effort where c(e) = 2 if e < 10 and cle) = (ěx (e – 10)2) = if e 2 10. Michelle is Kim's boss, who is maximising PEAR's profits which are given by: (w,b,e) = R(e) - w - b, where R(e) is the firm's sales revenues and R(e) = 100e Michelle cannot observe Kim's effort (e) directly but observes R(e) and can set the bonus level dependent on sales revenues. a. If Michelle sets w=200 and b=0, what would be Kim's effort level (e) and PEAR's profits? (1 mark) b. If Michelle sets w=0 and b=1000 conditional on reaching a sales target of R(e) = 3000, what would be Kim's effort level (e) and PEAR's profits? (1 mark) c. If Michelle sets w=100 and a bonus payment of 20% of sales revenues (i.e. b = 0.2 x R(e)) what would be Kim's effort level (e) and PEAR's profits? (1 mark) d. What is the optimal wage (w) and bonus payment (b) that maximises PEAR's profits? (1 mark) i. Briefly discuss the potential challenges with implementing an employment contract as in d) in a real-world setting. (1 mark)
a. Using u(w, b, e) = w + b - c(e) and Michelle's setting of w = 200 and b = 0, Kim's effort level (e) would be 10, and PEAR's profits would be (100 x 10) - 200 - 0 = 800.
b. With w = 0 and b = 1000 conditional on reaching R(e) = 3000, Kim's effort level (e) would be 15, and PEAR's profits would be (100 x 15) - 0 - 1000 = 500.
c. Using w = 100 and b = 0.2R(e), the bonus payment would be b = 0.2 x 100e = 20e, and Kim's effort level (e) would be 13.5, and PEAR's profits would be (100 x 13.5) - 100 - (20 x 13.5) = 950.
d. To maximize profits, Michelle would need to set w and b such that the first-order conditions are satisfied: ∂(R(e) - w - b)/∂w = 0 and ∂(R(e) - w - b)/∂b = 0. Solving these equations, we get w = 100 and b = 0.5R(e) - 50. With these values, Kim's effort level (e) would be 12.5, and PEAR's profits would be (100 x 12.5) - 100 - (0.5 x 100 x 12.5) + 50 = 1125.
i. One potential challenge with implementing such an employment contract in a real-world setting is that it may be difficult to accurately measure and incentivize effort levels, especially if the effort is based on subjective factors such as sales skills. Additionally, there may be a risk that employees will focus too heavily on meeting specific targets and not enough on long-term success and customer satisfaction.
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Complete question:
Kim is a salesperson at the PEAR computer company. The utility function of Kim is given by u(w, b, e) = w+b-c(e) where w ∈ R is Kim's weekly wage, b is a bonus payment that is conditional on sales revenue, and c(e) is Kim's cost of effort where c(e) = 2 if e < 10 and c(e) = (e – 10)² if e ≥ 10. Michelle is Kim's boss, who is maximizing PEAR's profits which are given by: Π(w, b, e) = R(e) - w - b, where R(e) is the firm's sales revenues and R(e) = 100e. Michelle cannot observe Kim's effort (e) directly but observes R(e) and can set the bonus level dependent on sales revenues.
a. If Michelle sets w=200 and b=0, what would be Kim's effort level (e) and PEAR's profits? (1 mark)
b. If Michelle sets w=0 and b=1000 conditional on reaching a sales target of R(e) = 3000, what would be Kim's effort level (e) and PEAR's profits? (1 mark)
c. If Michelle sets w=100 and a bonus payment of 20% of sales revenues (i.e. b = 0.2 x R(e)), what would be Kim's effort level (e) and PEAR's profits? (1 mark)
d. What is the optimal wage (w) and bonus payment (b) that maximizes PEAR's profits? (1 mark)
carol expects to receive $1,000 at the end of each year for 5 years. the annuity has an interest rate of 10%. the present value of this annuity at time zero, the inception of the annuity (rounded to the nearest dollar) is multiple choice question. $6,105. $4,500. $5,000. $3,791.
An annuity is a contract that you have with an insurance provider that obligates the insurer to pay you payments either now or in the future. Making one payment or several installments allows you to purchase an annuity.
We know,
Amount to be received = $1,000; Years (n) = 5; Interest rate is 10%.
Present Value Interest Factor of Annuity (PVIFA) = [1 - 1 / (1 + r)n] / r
PVIFA = [1 - 1 / (1 + 10%)^5] / 10%
= [1 - 1 / (1 + 0.10)^5] / 0.10
= [1 - 1 / (1.10)^5] / 0.10
= [1 - 1 / 1.61051] / 0.10
= [1 - 0.62092132305] / 0.10
= 0.37907867694 / 0.10
= 3.79078676940
= 3.7908
Hence, Expected Amount Received * PVIFA at Time Zero = Present Value of Annuity at (n = 5, r = 10%)
= $1,000 * 3.7908
= $3,790.8
rounded to the closest dollar: $3,791
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The actual question is - Carol expects to receive $1,000 at the end of each year for 5 years. The annuity has an interest rate of 10%. The present value of this annuity at Time Zero, the inception of the annuity (rounded to the nearest dollar) is?
Explain the difference between procedural requirements and substantive requirements for developing IEPsProcedural: Ensures that the IEP process (the how and when of IEP development) is followed and that the IEP contains all of the required informationSubstantive: Ensures that the content of the IEP (the what of IEP development) is sufficient to enable the student to progress, the student's progress is monitored, and changes are made if the student's progress is not appropriate
The Special Education Services, Goals, and Accommodations that a Disabled Student Will Receive in a School Setting are outlined in the Individualized Education Program (IEP), which is a written plan. Parents, teachers, and other professionals work together to create the IEP as part of a team.
The rules and procedures that must be followed in order to create an IEP that complies with the law are referred to as procedural requirements. These include things like evaluation deadlines, notice specifications, and documentation requirements. The procedural requirements are intended to guarantee an equitable, consistent, and open IEP development process.
The IEP's content and the educational services offered to the student are referred to as substantive requirements. The substantive requirements make sure that the IEP is customized to each student's unique needs and offers the right kind of educational support to help the student advance. For a student to access the curriculum, accommodations, modifications, and related services must be provided, as well as goals that are precise, measurable, achievable, relevant, and time-bound.
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failure to eliminate intercompany inventory sales would result in an overstatement of consolidated a. net income. b. gross profit. c. cost of goods sold (cogs). d. all of these.
If intercompany inventory sales are not eliminated, consolidated net income, gross profit, and cost of goods sold will be overstated. Option D is correct.
Intercompany inventory sales occur when a company within a group sells goods to another company in the same group. If these transactions are not eliminated during the consolidation process, the consolidated financial statements would be overstated. The overstated amounts would affect the net income, gross profit, and cost of goods sold (COGS) reported in the consolidated financial statements.
Elimination of intercompany inventory sales is necessary to avoid double-counting of revenues and expenses, which could inflate the consolidated financial statements. In the consolidated financial statements, the intercompany inventory sales are eliminated from revenues, COGS, and gross profit. As a result, the consolidated financial statements will reflect the true economic reality of the group's financial performance, free from distortions caused by intercompany transactions. Option D is correct.
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5. The interest rate of an adjustable rate mortgage may rise or fall based on thea. interest rate cap.b. adjustment period.c. index.d. margin.
The interest rate of an adjustable rate mortgage may rise or fall based on the c. index.
The interest rate of an adjustable rate mortgage (ARM) is typically based on an index, which is a benchmark interest rate that reflects the general level of interest rates in the economy. Commonly used indexes include the prime rate, the London Interbank Offered Rate (LIBOR), and the Constant Maturity Treasury (CMT) rate.
The interest rate on an ARM is adjusted periodically based on changes in the index. For example, if the index increases by 0.5%, the interest rate on the ARM may also increase by 0.5%. The adjustment period, which is the frequency at which the interest rate can change, is also an important factor in determining the interest rate on an ARM.
The interest rate cap is another important feature of an ARM, which limits the amount that the interest rate can increase or decrease during a given period. The margin, which is a fixed percentage added to the index, is also an important factor in determining the interest rate on an ARM.
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experience differentiation: isolates the consumer from the delivery of a service. is an extension of product differentiation in the service sector. uses only the consumer's senses of vision and sound. keeps consumers from becoming active participants in the service. attempts to make the service experience different for every single customer.
Experience differentiation is a strategy used by service providers to create unique experiences for their customers.
This strategy is an extension of product differentiation in the service sector and seeks to differentiate the service experience from the competition. It involves the use of only the consumer's senses of sight and sound to keep the customer from becoming an active participant in the service.
By doing this, the customer is isolated from the delivery of the service, allowing the company to create a unique and exclusive experience for each customer. Experience differentiation attempts to make the service experience different for every single customer and allow them to feel as if they are the only one receiving the service.
By creating a unique and exclusive experience for each customer, companies are able to increase customer satisfaction and loyalty, which can result in increased sales and profits.
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read the case and answer the following questions briefly
1. Describe the steps taken by Sid and Nancy immediately prior to the bankruptcy that may be offences under the bankruptcy and insolvency act. what is the legal term used to describe each of these steps (events)??
2. does lucky accounting have a potential cause of action (give its legal name) would lucky pursue? explain the cause of action and whether or not they might be successful. if Lucky was successful, what would be the most probable outcome (remedy) and why.????
Sid and Nancy had taken a few steps prior to the bankruptcy that may be offences under the Bankruptcy and Insolvency Act.
Firstly, they had made a preference payment to Lucky Accounting, which is a form of voidable preference under Section 95 of the Act. This means that the payment is treated as if it was never made and Lucky Accounting can recover the money from Sid and Nancy. Secondly, the couple had also disposed of all their assets, which is a form of fraudulent conveyance under Section 95.1 of the Act. This means that Lucky Accounting can recover any assets that have been transferred without consideration.
Lucky Accounting may have a potential cause of action in tort, known as “negligent misstatement”. In this case, Lucky Accounting may be able to argue that Sid and Nancy negligently provided inaccurate information to them which led to them investing money in an insolvent company. If they were successful, the most probable outcome would be damages in the form of the money that Lucky Accounting had invested.
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which type of team exists concurrently with the existing organization structure and whose tasks involve a considerable application of knowledge, judgment, and expertise, and as such draws its members from different disciplines and functional units so that specialized expertise can be applied to the task(s) at hand? these teams are often used for problem-solving and improvement oriented activities.
The type of team that exists concurrently with the existing organization structure and draws its members from different disciplines and functional units is known as a cross-functional team. These teams are formed to address specific problems or projects that require expertise.
Cross-functional teams are particularly useful for problem-solving and improvement-oriented activities because they bring together individuals with diverse backgrounds, knowledge, and skills. By leveraging the expertise of individuals from different functional units, cross-functional teams are able to apply a broad range of knowledge and experience to the task at hand, leading to more effective and efficient problem-solving.
Moreover, cross-functional teams allow for improved communication and collaboration among different parts of the organization. By breaking down silos and bringing together individuals with different perspectives, cross-functional teams encourage open dialogue and foster a culture of cooperation and mutual respect.
However, managing cross-functional teams can be challenging. Team members may have different priorities and goals based on their functional area, and communication can sometimes be difficult due to different jargon and terminology used across different departments.
Effective leadership, clear communication, and a focus on shared goals and objectives are critical for ensuring the success of cross-functional teams.
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The type of team being described here is a cross-functional team. Cross-functional teams are formed by individuals with diverse skills, knowledge, and expertise from different functional areas.
They are temporary and are created to complete a specific task or project that requires the input of members from multiple areas. These teams are commonly used in problem-solving situations, as they bring together individuals with different perspectives and expertise to work collaboratively towards a common goal.
Cross-functional teams can be a powerful tool for improving organizational performance, as they facilitate the exchange of knowledge and ideas between different functional areas, leading to more innovative and effective solutions.
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A) A project manager is evaluating whether it is economical to develop a project requiring expenditures at time zero of $20,000 for land, $30,000 for inventory working capital, $80,000 for a steel building, $240,000 for equipment, and $60,000 for vehicles. Starting in year one the manager estimates that production will generate annual end-of-year escalated revenue of $500,000 with escalated operating costs of $300,000. Operating costs and revenue will both escalate at a compound interest rate of 10% per year beginning in year two. Use straight-line depreciation over 39 years for the building cost starting in year one assuming 12 months of service when computing your allowable deduction in year one under the mid-month con- vention. Use 7-Year MACRS depreciation rates for the qualifying equipment cost starting in year one with the half-year convention and the 5-Year MACRS rates for the vehicle cost, again, starting in year one with the half-year convention. The effective combined federal and state income tax rate is 25%. No other income exists against which to utilize deductions so carry any losses forward. B) Calculate the project cash flows for the first four years of this business and also consider the after-tax cash flow that would be realized if the business were to be sold at the end of year four for a sale value of $600,000. Write off all remaining tax book values at the end of year four to deter- mine taxable gain (or loss) and treat the sale as ordinary income. For a minimum after-tax rate of return of 15%, calculate the overall project after-tax NPV, DCFROR, and PVR.
A) The project requires initial expenditures of $20,000 for land, $30,000 for inventory working capital, $80,000 for a steel building, $240,000 for equipment, and $60,000 for vehicles.
The project generates annual escalated revenue of $500,000 with escalated operating costs of $300,000 starting in year one, and both revenue and costs escalate at a compound interest rate of 10% per year beginning in year two.
Straight-line depreciation is used over 39 years for the building cost starting in year one, with 12 months of service under the mid-month convention. The effective combined federal and state income tax rate is 25%.
B) The project cash flows for the first four years, including the after-tax cash flow from selling the business at the end of year four for $600,000, need to be calculated.
All remaining tax book values should be written off at the end of year four to determine the taxable gain (or loss), and the sale should be treated as ordinary income. Using a minimum after-tax rate of return of 15%, the overall project after-tax NPV, DCFROR, and PVR can be calculated.
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