The after-tax cost of debt is approximately 1.41%. The after-tax cost of debt can be determined by applying the formula after-tax cost of debt = before-tax cost of debt x (1 − tax rate)
Formula: After-tax cost of debt = before-tax cost of debt x (1 − tax rate)
For the given scenario: Face value of debt (FV) = $1,000
Coupon rate (r) = 1.8%
Years to maturity (n) = 20 years
Time period of coupon payments (t) = 1 year
Tax rate = 21%
We know that the annual coupon payment is given by: FV × r = $1,000 × 1.8% = $18
Before-tax cost of debt (YTM) is calculated using the following formula: PV = Coupon payment / r [1 − (1 + r)-n] + FV / (1 + r)n
Where, PV = Market price of the debt
For this scenario, the market price of the debt is equal to its face value, i.e., $1,000.
Hence, we can substitute the values and solve for r:1,000 = 18 / r [1 − (1 + r)-20] + 1,000 / (1 + r)201,000r
= 18 × [1 − (1 + r)-20] + 1,000r20201,000r
= 18 × [1 − (1 + r)-20] + 1,000r20 − 1,000r
= 18 × [1 − (1 + r)-20]r ≈ 0.0179 or 1.79%
Before-tax cost of debt (YTM) = 1.79%
After-tax cost of debt = 1.79% x (1 − 21%) = 1.41%
Thus, the after-tax cost of debt is approximately 1.41%.
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Suppose you are interested in the effect of a variable X on another variable Y, and you believe that when X=0,Y is also 0 . So you decide to estimate the model: Y=γ 1
X+e instead of the more standard Y=β 0
+β 1
X+u (a) Under the assumption E[Xe]=0, derive the population coefficient γ 1
. (5 marks) (b) Under what conditions is γ 1
= beta 1
? (4 marks) (c) Now suppose you have data on X and Y and you want to estimate the effect of X on Y. Is there ever a reason to use the model in equation 1 instead of the one in equation 2? Explain. (3 marks). (d) (BONUS-5 marks) Suppose you really really dislike intercepts and you want to estimate a model with no intercept, and still recover the correct effect of X on Y (i.e., β 1
). Is there a transformation of tY and X in the data such that a regression of Y on X with no intercept will give you the same estimate of the effect of X on Y as estimating β 1
in equation 2 ?
Under the assumption E[Xe] = 0, the population coefficient γ1 can be derived as the covariance between X and Y divided by the variance of X.
a) Under the assumption E[Xe] = 0, we can derive the population coefficient γ1 by taking the covariance between X and Y and dividing it by the variance of X.
b) γ1 will be equal to β1 when the covariance between X and Y is equal to the variance of X. In other words, the effect of X on Y remains the same in both models when the covariance and variance conditions are met.
c) There may be reasons to use the model Y = γ1X + e instead of Y = β0 + β1X + u if there is strong theoretical or empirical evidence suggesting that the intercept term β0 is zero. Additionally, if the assumption E[Xe] = 0 holds, it justifies the use of the simplified model.
d) To estimate a model with no intercept and still obtain the correct effect of X on Y (i.e., β1), a transformation can be applied to the variables Y and X in the data. By subtracting the sample means of Y and X from the respective variables, a regression of Y on X with no intercept will yield the same estimate of the effect of X on Y as estimating β1 in equation 2. This transformation centers the data around the means, effectively removing the intercept term while preserving the estimation of the effect.
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Two mutually exclusive projects require the same $800,000 in initial investment. Afterwards, the first project provides the following cash flows over the next four years: $400,000, $250,000, $200,000, and $600,000. The second project provides the following cash flows over the next four years: $600,000, $200,000, $250,000, and $400,000. The target payback period is 3 years. Which project should you undertake? Explain with appropriate calculations.
The target payback period is three years, Project 1's payback period exceeds the target, whereas Project 2's payback period is less than the target, so Project 2 should be undertaken.
The Payback Period Method determines the time it takes to recover the initial investment of a project. Projects with shorter payback periods are preferred over those with longer payback periods. It is essential to consider whether or not a project's payback period falls within a company's acceptable range or is less than the anticipated useful life of the asset to be bought before determining whether or not to take the project. It is not ideal to have a payback period that exceeds the asset's useful life since the asset would not have produced any income during the last years of its useful life if the project's payback period exceeded the useful life of the asset.
Two mutually exclusive projects require the same $800,000 in initial investment. Afterward, the first project provides the following cash flows over the next four years: $400,000, $250,000, $200,000, and $600,000. The second project provides the following cash flows over the next four years: $600,000, $200,000, $250,000, and $400,000. The target payback period is 3 years. Now, we will calculate the payback period of both projects: Project 1:Year 1 = $400,000Year 2 = $250,000Year 3 = $200,000Year 4 = $600,000Total = $1,450,000Payback Period = 2 + ($350,000 / $600,000) = 2.58 years (approximately)Project 2:Year 1 = $600,000Year 2 = $200,000Year 3 = $250,000Year 4 = $400,000Total = $1,450,000Payback Period = 1 + ($200,000 / $250,000) = 1.8 years (approximately). Since the target payback period is three years, Project 1's payback period exceeds the target, whereas Project 2's payback period is less than the target, so Project 2 should be undertaken.
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An example of competitive employment would be:
a. The PWD is paid the same wage as anyone else that works in the same position
b. The PWD is paid by the work they complete
c. The PWD goes to work in a sheltered workshop
d. Both B andC
An example of competitive employment would be PWD is paid the same wage as anyone else that works in the same position, Therefore Option A is correct.
Competitive employment refers to a situation where individuals with disabilities are employed in regular integrated workplaces & receive the same wages & benefits as their non-disabled colleagues who perform the same job.
In competitive employment individuals with disabilities are not segregated or confined to specific sheltered workshops or paid based on the work they complete (piece-rate).
Instead they are provided equal opportunities to work, contribute & earn wages on par with their co-workers. Therefore option a is the example that aligns with the concept of competitive employment.
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Content of the Assignment:
1. Name, History and Origin of the brand (5%)
2. Marketing Strategy of the brand (STP) (15%)
3. SWOT Analysis (15%)
4. Marketing Plan (Marketing Mix) (25%)
5.Your evaluation
Nike, founded in 1964 as Blue Ribbon Sports, is a multinational corporation known for athletic footwear, apparel, and equipment. Nike, founded in 1964 as Blue Ribbon Sports, is a multinational corporation known for athletic footwear, apparel, and equipment.
2.) With its "Just Do It" slogan, Nike's marketing strategy focuses on inspiring and empowering athletes and individuals seeking an active lifestyle. The brand segments its market based on demographics, psychographics, and behaviors, targeting athletes and sports enthusiasts, particularly the youth. Nike's strengths lie in its strong brand recognition, extensive product line, effective marketing campaigns, and global distribution network. However, challenges include high prices, past controversies, and competition from brands like Adidas.
3.Here's a SWOT analysis of Nike: Strengths: Strong brand image and recognition globally, Extensive product line catering to various sports and lifestyle segments, Effective marketing campaigns and sponsorships with high-profile athletes, Focus on innovation, technology, and product performance. Weaknesses: High product prices compared to some competitors, Controversies related to labor practices in the past
Opportunities: Growing global sports apparel and footwear market, Expansion into emerging markets with a rising middle class. Threats: Intense competition from established brands like Adidas and Under Armour, Counterfeit products affecting brand reputation.
4. Marketing Plan (Marketing Mix): Nike's marketing mix comprises the 4Ps: Product, Price, Place, and Promotion. Product: Nike offers a wide range of athletic footwear, apparel, and accessories. They constantly innovate and improve their products, incorporating advanced technologies to enhance performance. Price: Nike positions itself as a premium brand, and its pricing strategy reflects this positioning. Place: Nike utilizes a multi-channel distribution strategy. They sell their products through their online store, company-owned retail stores (Nike stores and Nike Factory Stores), and third-party retailers.
Promotion: Nike's promotion strategies include a mix of traditional advertising, digital marketing, and sponsorships. They run powerful and inspirational advertising campaigns, often featuring famous athletes. Nike also sponsors major sports events, teams, and athletes, gaining significant visibility.
5. Your Evaluation:Nike has successfully established itself as a leading brand in the global athletic footwear and apparel industry. They have a strong brand image, an extensive product range, and a solid marketing strategy. However, they face challenges such as intense competition, pricing concerns, and occasional controversies. Overall, Nike's marketing efforts have been effective in connecting with their target audience, driving sales, and reinforcing their brand values.
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Compare and contrast the use of government spending changes versus tax changes as a means of influencing the course of the economy. Is one or the other preferable in specific situations? Imagine for a moment that you have two roommates, who each have opposing viewpoints on nearly everything, including politics and economics. Taylor is adamant that the best way to manage the economy is through tax changes, while Morgan insists that it’s better to adjust the economy through government spending. What would a Neoclassical economist say? What would a Keynesian economist say? Which roommate do you agree with, and why? Find a news article to help support your opinion. Summarize the article and include the link to in your response.
A neoclassical economist would argue that tax changes are preferable to government spending changes for influencing the course of the economy.
On the other hand, a Keynesian economist would advocate for government spending as a more effective tool. Personally, I align with the neoclassical economist's viewpoint, as tax changes provide greater flexibility and efficiency in economic management.
While government spending can stimulate demand in the short term, it can lead to long-term inefficiencies and potential crowding out of private investment. Tax changes, on the other hand, can incentivize productive behavior, encourage savings and investment, and provide individuals and businesses with more control over their resources.
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Hyperion Inc., currently sells its latest high-speed color printer, the Hyper 500, for $349. It plans to lower the price to $308 next year. Its cost of goods sold for the Hyper 500 is $191 per unit, and this year's sales (at the current price of $349) are expected to be 20,800 units. a. Suppose that if Hyperion drops the price to $308 immediately (rather than waiting one year) it can increase this year's sales by 30% to 27,040 units. What would be the incremental impact on this year's EBIT of such a price drop? b. Suppose that for each printer sold, Hyperion expects additional sales of $95 per year on ink cartridges for the three-year life of the printer, and Hyperion has a gross profit margin of 81% on ink cartridges. What is the incremental impact on EBIT for the next three years of such a price drop?
The incremental impact on this year's EBIT of such a price drop is $1,080,000. The incremental impact on EBIT for the next three years of such a price drop is $1,657,952.
(a) The present EBIT with the current sales of 20,800 units is given by EBIT = $349 × 20,800 – $191 × 20,800 = $3,964,800 – $3,977,280 = −$12,480. If the company lowers its price to $308 and increases its sales by 30% to 27,040 units, then the new revenue and cost are $308 × 27,040 = $8,326,720 and $191 × 27,040 = $5,167,840, respectively. The new EBIT will be $3,158,880. Thus, the incremental impact on this year's EBIT of such a price drop is $3,158,880 − (−$12,480) = $1,080,000.
(b) For each printer sold, Hyperion expects additional sales of $95 per year on ink cartridges for the three-year life of the printer, and Hyperion has a gross profit margin of 81% on ink cartridges. The incremental annual profit from ink cartridges will be $95 × 81% = $76.95. The incremental profit from ink cartridges for the next three years will be $76.95 × 27,040 × 3 = $6,590,752.
Hence, the incremental impact on EBIT for the next three years of such a price drop is $6,590,752 − $1,932,800 = $1,657,952. Therefore, the incremental impact on EBIT for the next three years of such a price drop is $1,657,952.
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The following data was gathered by the Mc Arthur shoe company, manufacturers of water boots as it was preparing itself to make a decision on the type of aggregate plan that the company should be using. DATA 1. no overtime 2.no subcontracting 3.regular cost of production=$80/pair 4. backorder cost of production=$12/pair 5.hiring cost = $120/pair 6. production/employee 200 pairs/month 7. firing cost = $300/pair 8. workforce = 20 workers prior to the start of the production cycle 9. overtime cost of production = $70/pair inventory carrying/holding=$4/pair/quarter 10.hiring and firing is allowed
In aggregate planning, a company decides the total level of production it needs to maintain for specific time periods in order to match supply and demand while minimizing costs and maximizing profits.
Aggregate planning requires that companies use assumptions that may not exactly match real-world situations. The aggregate plan that the McArthur shoe company should use is to increase the size of its workforce by 25% in the first quarter, and then to reduce its workforce by 20% in the second quarter.
The company should hire 5 more workers, increasing its workforce from 20 to 25, in the first quarter. In the second quarter, the company should reduce its workforce to 20 by firing 5 employees. The production schedule should be 5,000 pairs in the first quarter, with 4,000 pairs sold and 1,000 pairs placed in inventory. In the second quarter, the company should produce 4,000 pairs, with 4,000 pairs sold and no inventory. In addition, the company should produce 20% overtime in each quarter to avoid backorders.
The decision to use overtime is due to the fact that the cost of overtime is lower than the cost of backorders, and the company can still keep the cost of production low. In the first quarter, the company should use 500 hours of overtime, while in the second quarter, the company should use 400 hours of overtime. Finally, the company should produce 500 pairs in the first quarter and 400 pairs in the second quarter as backorders.
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Murray Exports (A). Murray Exports (U. S. ) exports heavy crane equipment to several Chinese dock facilities. Sales are currently 10,000 units per year at the yuan equivalent of $24,000 each. The Chinese yuan (renminbi) has been trading at Yuan8. 20/$, but a Hong Kong advisory service predicts the renminbi will drop in value next week to Yuan9. 00/$, after which it will remain unchanged for at least a decade. Accepting this forecast as given, Murray Exports faces a pricing decision in the face of th
The Chinese yuan (renminbi) is expected to drop in value from Yuan8.20/$ to Yuan9.00/$ next week and remain unchanged for at least ten years. Murray Exports now needs to make a pricing decision considering this forecast.
Considering the forecasted devaluation of the renminbi, Murray Exports needs to determine how to adjust their pricing strategy. With the current exchange rate of Yuan8.20/$, each unit is priced at the yuan equivalent of $24,000. However, with the predicted devaluation to Yuan9.00/$, the yuan equivalent of $24,000 would decrease in value.
To maintain their profit margin, Murray Exports could consider increasing the yuan price per unit to compensate for the devaluation. They would need to calculate the new yuan price that would result in the same dollar revenue when converted at the expected exchange rate. Alternatively, they could choose to keep the yuan price unchanged, which would effectively reduce the dollar revenue per unit due to the devaluation.
Ultimately, the pricing decision would depend on various factors, including market conditions, competition, and the company's objectives.
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A system of income inequality has advantages and disadvantages. Which of the following is a characteristic of a country that has income inequality?
Group of answer choices
in a country with higher income inequality the lower income households generally have fewer political advantages (less influence) than the higher income households.
All of the listed choices are characteristics
a country with income inequality generally has a higher average standard of living than a country with pure income equality.
a country with income inequality provides those who are more productive the ability to reap higher rewards and higher incomes. Thus more people tend to be productive and efficient than in a system of income equality.
In a country with higher income inequality, the lower income households generally have fewer political advantages (less influence) than the higher income households. This is a characteristic of income inequality. Higher income households often have more resources and economic power, which can translate into greater political influence and the ability to shape policies that benefit their interests.
Additionally, a country with income inequality provides those who are more productive the ability to reap higher rewards and higher incomes. This characteristic suggests that income inequality allows for greater incentives for individuals to be productive and efficient. In such a system, individuals who contribute more to the economy can earn higher incomes, which can serve as a motivator for increased productivity and economic growth.
However, it is important to note that not all of the listed choices are characteristics of a country with income inequality. The statement "a country with income inequality generally has a higher average standard of living than a country with pure income equality" is not necessarily true. Income inequality does not guarantee a higher average standard of living as it depends on various factors such as social welfare programs, access to education and healthcare, and overall economic conditions. Income equality can also be achieved with a high standard of living if resources are distributed equitably among the population.
Therefore, the correct answer is in a country with higher income inequality, the lower income households generally have fewer political advantages (less influence) than the higher income households.
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TRUE/FALSE/MAYBE and EXPLAIN:
It is impossible for the total number of people employed and the
unemployment rate both to fall at the same time.
If the rate of job creation outpaces the growth of the labour force, more individuals can find employment, resulting in a decrease in both unemployment and an increase in the total number of people employed.
It is possible for the total number of people employed and the unemployment rate to both fall at the same time. This can occur when there is a decrease in the overall labour force, meaning fewer people are actively seeking employment. In such cases, even though the number of people employed may decrease, the unemployment rate can also decrease if the decrease in the labour force is proportionally larger. So, it is not impossible for both numbers to fall simultaneously.
That statement is not necessarily true. It is possible for the total number of people employed and the unemployment rate to both fall at the same time under certain circumstances.
When the total number of people employed decreases, it typically indicates a decline in the number of individuals who have jobs. However, if the labour force participation rate also decreases, meaning fewer people are actively seeking employment, the unemployment rate could still decrease even with a decline in the number of employed individuals.
Additionally, economic growth and improved job creation can lead to an increase in the total number of people employed while simultaneously reducing the unemployment rate. If the rate of job creation outpaces the growth of the labour force, more individuals can find employment, resulting in a decrease in both unemployment and an increase in the total number of people employed.
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"A furniture store has an ad for a sofa set priced at $3800. The
customer is offered the choice of making $164.53 end of month
payments for two years. What is the implied interest rate the
customer is
The implied interest rate for the sofa set is approximately 8.5% per year. The customer would be making monthly payments of $164.53 for a total of 24 months.
To determine the implied interest rate, we can use the formula for calculating the present value of an annuity:
PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value of the annuity (price of the sofa set, $3800)
PMT = Monthly payment ($164.53)
r = Monthly interest rate (to be determined)
n = Number of periods (24 months)
We need to solve for r. Rearranging the formula, we have:
r = [1 - (PV / PMT)^(1 / n)] / [1 - (1 / (1 + r))]
Substituting the given values:
PV = $3800
PMT = $164.53
n = 24
Let's solve the equation step by step:
Step 1: Convert the interest rate to a decimal
Divide the annual interest rate by 12 (since we're dealing with monthly compounding):
Annual interest rate = r * 12
Step 2: Apply the formula
r = [1 - (3800 / 164.53)^(1 / 24)] / [1 - (1 / (1 + r))]
Step 3: Iteratively solve for r
Using an iterative method, we can find the value of r that satisfies the equation. Let's start with an initial guess of r = 0.01 (1%) and refine it until we find a solution that converges.
After solving the equation, the value of r comes out to be approximately 0.0237, or 2.37%.
To convert this monthly interest rate to a percentage per annum, we multiply it by 12:
Annual interest rate = 0.0237 * 12 = 0.2844
Finally, we express the annual interest rate as a percentage to two decimal places:
Implied interest rate = 28.44%
Therefore, the implied interest rate charged to the customer, with monthly compounding, is approximately 2.84%.
The complete question is:
"A furniture store has an ad for a sofa set priced at $\$ 3800$. The customer is offered the choice of making $\$ 164.53$ end of month payments for two years. What is the implied interest rate the customer is being charged expressed with monthly compounding? Enter your answer as a percentage to 2 decimal places, but do not enter the $\%$ sign."
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Evaluate and discuss the requirements of one of the following laws and how it applies in hiring. What does a manager need to do or not do to comply with it? Pregnancy Discrimination Act or Federal labor laws enforced by the National Labor Relations Board (NLRB) including National Labor Relations Act (NLRA)
Pregnancy Discrimination Act is essential to protect pregnant employees from discrimination in the workplace. A manager should comply with the requirements of the PDA by not discriminating against an employee based on pregnancy, childbirth, or related medical conditions.
The act applies to employers with 15 or more employees, and it protects women from being discriminated against due to pregnancy, childbirth, or related medical conditions when it comes to recruitment, hiring, and promotion decisions.
To comply with the PDA, a manager should provide reasonable accommodation to a pregnant employee if the employee requests it, such as allowing her to take breaks for medical reasons or moving her to a less physically demanding job. Employers should also provide equal access to benefits such as health insurance and disability leave for employees with pregnancy-related medical conditions.
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In your groups create a short report (min 3 pages, no maximum) for Taylor Guitar that outlines your FINAL RECOMMENDATION for the network design of the company in Canada. Include your detailed recommendation as it relates to facility locations, key transportation routes, supply chain flow and all rationale for your decisions
In this report, we will recommend the network design for Taylor Guitars in Canada that will help it to achieve an efficient and effective supply chain flow.
Facility Location Taylor Guitars is currently operating in Canada with two warehouses, one in Toronto and the other in Vancouver. The warehouses are situated at the two extreme ends of the country, which makes the transportation of raw materials and finished goods from the manufacturer's facilities to these warehouses a complicated process. We recommend the company relocate the Vancouver warehouse to Edmonton, which is centrally located in Canada.
We suggest Taylor Guitars adopts a hybrid supply chain model. This model combines elements of both push and pull strategies to optimize the supply chain. This hybrid model is designed to be more flexible than a pure push or pull model. It will enable the company to reduce costs and improve service levels while providing greater agility to respond to changes in customer demand. Rationale We recommend these changes because they will streamline the supply chain network, which will ultimately lead to cost savings, improved delivery times, and increased customer satisfaction.
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Review the circular economy of the paper and cardboard making
industries, what improvements could be made to one or both?
Improvements that could be made to the circular economy of the paper and cardboard making industries include implementing more efficient recycling processes and promoting sustainable sourcing of raw materials.
Efficient recycling processes can help increase the recycling rates of paper and cardboard products. This can be achieved by improving collection systems, investing in advanced sorting technologies, and creating incentives for consumers and businesses to recycle.
By maximizing the recycling of paper and cardboard waste, the industries can reduce the need for fresh materials and minimize the environmental impact associated with their production.
Promoting sustainable sourcing of raw materials is another crucial aspect of improving the circular economy in these industries. This involves ensuring that the wood used for paper and cardboard production comes from responsibly managed forests or from alternative sources such as agricultural residues or recycled paper.
By adopting sustainable sourcing practices, the industries can minimize deforestation, protect biodiversity, and reduce their carbon footprint.
Additionally, exploring innovative technologies such as paper recycling technologies that can handle mixed paper streams and developing alternative materials to replace certain paper and cardboard products can further enhance the circular economy in these industries.
Overall, a comprehensive approach that focuses on improving recycling processes and sourcing sustainable materials is essential for advancing the circular economy in the paper and cardboard making industries.
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Consider a European put option and a European call option on a \( \$ 40 \) nondividend-paying stock. Both options have 6 months remaining and both have a \( \$ 35 \) strike price. The risk-free intere
a. The no-arb price for the call option is approximately $11.176. b. The call option is in-the-money, and the put option is out-of-the-money. Under the no-arb condition, the call option is more expensive. c. An arbitrageur would buy the underpriced call option and short sell the stock. d. The no-arb price for the put option is approximately $5.824. e. An arbitrageur would sell the overpriced put option and buy the underlying stock.
a. To calculate the no-arbitrage price for the call option, we can use the put-call parity relationship:
Call Price - Put Price = Stock Price - Strike Price * e^(-r * T)
Given that the market price of the put is $6, the stock price is $40, the strike price is $35, the risk-free interest rate is 5% (or 0.05), and the time to expiration (T) is 6 months (or 0.5 years), we can plug in these values:
Call Price - $6 = $40 - $35 * e^(-0.05 * 0.5)
Solving for the Call Price:
Call Price = $40 - $35 * e^(-0.05 * 0.5) + $6 ≈ $11.176
Therefore, the no-arbitrage price for the call option is approximately $11.176.
b. The call option is in-the-money if the stock price is above the strike price, and the put option is in-the-money if the stock price is below the strike price. In this case, since the stock price is $40 and the strike price is $35, the call option is in-the-money and the put option is out-of-the-money. Under the no-arbitrage condition, the call option should be more expensive than the put option.
c. If the quoted market price of the call option is $9, an arbitrageur would likely take the following actions:
Buy the underpriced call option: The arbitrageur would buy the call option at the market price of $9, taking advantage of the lower price.
Short sell the stock: The arbitrageur would borrow and sell the underlying stock at the current stock price of $40.
By buying the call option and short selling the stock, the arbitrageur would create a synthetic long position in the stock, which would be equivalent to buying the stock itself. This strategy allows the arbitrageur to profit from the underpriced call option and the expectation that the stock price will increase.
d. To calculate the no-arbitrage price of the put option when the quoted market price of the call is $9, we can use the put-call parity relationship:
Put Price = Call Price - Stock Price + Strike Price * e^(-r * T)
Given that the market price of the call is $9, the stock price is $40, the strike price is $35, the risk-free interest rate is 5% (or 0.05), and the time to expiration (T) is 6 months (or 0.5 years), we can plug in these values:
Put Price = $9 - $40 + $35 * e^(-0.05 * 0.5)
Solving for the Put Price:
Put Price = $9 - $40 + $35 * e^(-0.05 * 0.5) ≈ $5.824
Therefore, the no-arbitrage price for the put option is approximately $5.824.
e. If the quoted market price of the put option is $6, an arbitrageur would likely take the following actions:
Sell the overpriced put option: The arbitrageur would sell the put option at the market price of $6, taking advantage of the higher price.
Buy the underlying stock: The arbitrageur would buy the underlying stock at the current stock price of $40.
By selling the put option and buying the stock, the arbitrageur would create a synthetic long position in the stock, which would be equivalent to buying the stock itself. This strategy allows the arbitrageur to profit from the overpriced put option and the expectation that the stock price will increase.
At time T, the arbitrageur would exercise the put option if the stock price is below the strike price and deliver the stock to fulfill the option contract. However, if the stock price is above the strike price, the arbitrageur would let the put option expire worthless.
These actions allow the arbitrageur to take advantage of the overpriced put option and generate risk-free profits.
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Complete Question :
Consider a European put option and a European call option on a $40 nondividend-paying stock. Both options have 6 months remaining and both have a $35 strike price. The risk-free interest rate is 5% CCAR. a. The market price of the put is $6. Calculate the no-arb price for the call. b. Which of the options is in-themoney? Which is out-of-the-money? Under the no-arb condition, is the call or the put more expensive? c. Describe the likely actions of an arbitrageur now and at time T if the quoted market price of the call is $9. d. Now as assume the quoted market price of the call is $9.00. Calculate the no-arb price of the put. e. Describe the likely actions of an arbitrageur now and at time T if the quoted market price of the put is $6.
sarah U=100x0.5 y0.5
Jani U=50x0.4 y0.6
Px= 10
Py= 20
Current output
x= 58
y=36
sarah income I=600
Jani income I=700
1. Calculate MRS for sarah and jani.
2. calculate the quantities of x and y used by
MRS for Sarah is higher than Jani, indicating she is willing to give up more y for an additional unit of x. Sarah uses 34.55x and 26.54y, while Jani uses 23.37x and 28.44y.
1. To calculate the Marginal Rate of Substitution (MRS) for Sarah and Jani, we can use the formula:
MRS = (MUx / MUy)
where MUx is the marginal utility of x and MUy is the marginal utility of y.
For Sarah, we have:
MUx = (dU/dx) = 50x^(-0.5)y^(0.5) = 50(58)^(-0.5)(36)^(0.5) ≈ 8.21\
MUy = (dU/dy) = 50x^(0.5)y^(-0.5) = 50(58)^(0.5)(36)^(-0.5) ≈ 2.74
MRS of Sarah = MUx / MUy = 8.21 / 2.74 = 2.99
For Jani, we have:
MUx = (dU/dx) = 40x^(-0.6)y^(0.4) = 40(58)^(-0.6)(36)^(0.4) ≈ 6.04\
MUy = (dU/dy) = 40x^(0.4)y^(-0.6) = 40(58)^(0.4)(36)^(-0.6) ≈ 5.07
MRS of Jani = MUx / MUy = 6.04 / 5.07 = 1.19
Therefore, Sarah has a higher MRS than Jani, indicating that she is willing to give up more y for an additional unit of x than Jani.
2. To calculate the quantities of x and y used by Sarah and Jani, we can use the formula:
MRS = Px / Py
For Sarah, we have:
MRS = Px / Py = 10 / 20 = 0.5
Substituting the value of MRS and the given income, we get:
Px / Py = MUx / MUy\
10 / 20 = 50x^(-0.5)y^(0.5) / 50x^(0.5)y^(-0.5)\
y / x = (10 / 20) \* (58)^(0.5) / (36)^(0.5)\
y / x ≈ 0.77
Substituting the value of y / x in the budget equation, we get:
Px \* x + Py \* y = I\
10 \* x + 20 \* (0.77x) = 600\
x ≈ 34.55\
y ≈ 26.54
Therefore, Sarah uses approximately 34.55 units of x and 26.54 units of y.
For Jani, we have:
MRS = Px / Py = 10 / 20 = 0.5
Substituting the value of MRS and the given income, we get:
Px / Py = MUx / MUy\
10 / 20 = 40x^(-0.6)y^(0.4) / 40x^(0.4)y^(-0.6)\
y / x = (10 / 20) \* (58)^(0.4) / (36)^(0.6)\
y / x ≈ 1.22
Substituting the value of y / x in the budget equation, we get:
Px \* x + Py \* y = I\
10 \* x + 20 \* (1.22x) = 700\
x ≈ 23.37\
y ≈ 28.44
Therefore, Jani uses approximately 23.37 units of x and 28.44 units of y.
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Question 1 (15 marks) Explain how the four (4) factors of the incentive intensity principle apply to: (i) (5 marks) A linear contract with one agent? (ii) (5 marks) A multitasking linear contract with subjective performance evaluation (SPE)? (iii) (5 marks) A linear contract with two (2) agents and with a relative performance evaluation (RPE)?
The incentive intensity principle aims to ensure that agents put forth the required effort to achieve the goals of the contract.
What are the 4 factors?The four factors of the incentive intensity principle are the sensitivity of the contract to effort, the agent's degree of risk aversion, the degree of substitution between effort and other inputs, and the degree of complementarity between effort and other inputs.
These four factors are applied differently depending on the contract type, as described below:
(i) Linear contract with one agent:
(ii) Multitasking linear contract with subjective performance evaluation (SPE):
(iii) Linear contract with two agents and with a relative performance evaluation (RPE):
The sensitivity of the contract to effort: The greater the sensitivity of the contract to effort, the higher the effort level will be.
The agent's degree of risk aversion: The higher the degree of risk aversion, the lower the agent's effort level.
The degree of substitution between effort and other inputs: The lower the degree of substitution, the higher the effort level.
The degree of complementarity between effort and other inputs: The higher the degree of complementarity, the higher the effort level.
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How would bond values change over time in a rising rate environment? Do we currently experience a rising rate environment in the United States? What measures should a bond investor take to manage rate risk?
Bond investors should take measures to manage rate risk in a rising rate environment by investing in short-term bonds, diversifying bond holdings, and investing in bond funds.
Bond values change over time in a rising rate environment because interest rates and bond prices move in opposite directions. When interest rates rise, bond prices decrease, and vice versa. This is because when interest rates rise, new bonds are issued at higher interest rates, which makes existing bonds with lower rates less valuable in comparison. Therefore, bond values would decrease over time in a rising rate environment.Yes, the United States is currently experiencing a rising rate environment.
The Federal Reserve has increased the federal funds rate multiple times since 2015, with the latest increase in December 2018. In addition, the Fed has indicated that it plans to continue raising rates gradually in the coming years. This means that bond investors should take measures to manage rate risk, which is the risk that rising interest rates will negatively impact the value of their bonds.To manage rate risk, bond investors should consider the following measures:Invest in short-term bonds: Short-term bonds have lower interest rate risk than long-term bonds because their maturities are closer to the present, which means that their prices are less sensitive to changes in interest rates. Diversify bond holdings: Diversification can help spread out rate risk across different types of bonds and reduce exposure to any single issuer or sector. For example, an investor could hold a mix of government, corporate, and municipal bonds. Invest in bond funds: Bond funds can provide a diversified portfolio of bonds that are managed by professionals. This can be a good option for investors who do not have the time or expertise to select individual bonds.
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During the month of July, Clanton Industries issued a check in the amount of $823 to a supplier on account. The check did not clear the bank during July. In preparing the July 31 bank reconciliation, the company should: Multiple Choice
In preparing the July 31 bank reconciliation, Clanton Industries should account for the outstanding check and any other outstanding items to ensure the bank and company balances match.
1. Start with the company's bank statement for the month of July.
2. Compare the transactions listed on the bank statement with the company's records.
3. Identify any differences or discrepancies between the bank statement and the company's records.
4. In this case, since the check issued to the supplier did not clear the bank during July, it should be considered an outstanding check.
5. Subtract the amount of the outstanding check ($823) from the company's records to reconcile the discrepancy.
6. Additionally, check for any other outstanding checks or deposits that have not been recorded by the bank or the company.
7. Adjust the company's records to reflect these outstanding items.
8. Finally, compare the adjusted bank balance and the adjusted company balance to ensure they match.
9. If they do match, the reconciliation process is complete. If not, further investigation may be needed to identify and correct any errors or discrepancies.
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Amber consumes nuts and berries. She has the utility function ((x1),(x2))= 4(x1)^(1/2) + (x2), where (x1) is her consumption of nuts and (x2) is her consumption of berries. If Amber is initially consuming 64 units of nuts and 10 units of berries, then what is the largest number of berries that she would be willing to give up in return for an additional unit of nuts?
Amber would be willing to give up at most 1/4 units of berries in return for an additional unit of nuts.
To determine the largest number of berries that Amber would be willing to give up in return for an additional unit of nuts, we need to compare the marginal utilities of nuts and berries.
The marginal utility of a good represents the additional utility gained from consuming one more unit of that good. Mathematically, it is the derivative of the utility function with respect to the corresponding variable.
In this case, the utility function is U(x1, x2) = 4√(x1) + x2, where x1 represents the consumption of nuts, and x2 represents the consumption of berries.
To find the marginal utility of nuts (∂U/∂x1), we differentiate the utility function with respect to x1:
∂U/∂x1 = 2/√(x1)
Given that Amber initially consumes 64 units of nuts, we can substitute this value into the equation:
∂U/∂x1 = 2/√(64) = 2/8 = 1/4
So, the marginal utility of nuts is 1/4.
To find the marginal utility of berries (∂U/∂x2), we differentiate the utility function with respect to x2:
∂U/∂x2 = 1
The marginal utility of berries is constant and equal to 1.
Now, we can compare the marginal utilities. Since the marginal utility of nuts is 1/4 and the marginal utility of berries is 1, Amber would be willing to give up berries only if the marginal utility of nuts is higher.
Therefore, Amber would be willing to give up at most 1/4 units of berries in return for an additional unit of nuts.
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Choose the step that is clearly out of order in the following schematic of a documentary credit transaction.
Importer's bank opens a letter of credit
The exporter loads the goods to a ship and obtains a bill of lading
A bill of exchange is accepted by the importer
The exporter receives payment in exchange for the bill of exchange and the bill of lading to the Exporter's bank.
Documents are sent to the importer's bank
Importer's bank collects payment from the importer and hands over the bill of lading
The importer collects the goods from the ship
The step that is clearly out of order in the schematic of a documentary credit transaction is:
The exporter receives payment in exchange for the bill of exchange and the bill of lading from the Exporter's bank.
In a typical documentary credit transaction, the exporter receives payment after the importer's bank collects payment from the importer and hands over the bill of lading. The correct sequence would be:
1. Importer's bank opens a letter of credit.
2. The exporter loads the goods to a ship and obtains a bill of lading.
3. Documents are sent to the importer's bank.
4. Importer's bank collects payment from the importer and hands over the bill of lading.
5. The exporter receives payment in exchange for the bill of exchange and the bill of lading from the Exporter's bank.
6. The importer collects the goods from the ship.
Therefore, the step "The exporter receives payment in exchange for the bill of exchange and the bill of lading to the Exporter's bank" is out of order in the given sequence.
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Performance analysis for IKEA
-Organization analysis
-Environmental analysis
-Desired performance
-Actual performance
-Gap analysis
-Case analysis
Environmental Factor
Individual factor
Performance analysis for IKEA involves evaluating various aspects such as organization analysis, environmental analysis, desired performance, actual performance, gap analysis, and case analysis.
Performance analysis for IKEA includes assessing the organization's internal dynamics, structure, and resources through organization analysis. This helps identify strengths and weaknesses that can impact performance.
Environmental analysis involves examining external factors such as market conditions, competition, and regulatory changes to understand the opportunities and threats faced by IKEA in its operating environment.
Desired performance refers to the goals and targets set by IKEA, which serve as benchmarks for measuring success. Actual performance entails evaluating the actual outcomes achieved by IKEA in terms of financial performance, customer satisfaction, and operational efficiency.
Gap analysis involves comparing desired performance with actual performance to identify any gaps or discrepancies that need to be addressed. This helps in identifying areas for improvement and developing strategies to bridge the performance gaps.
In the context of environmental factors, individual factors refer to the characteristics and behaviors of individuals within and outside the organization. These factors can include consumer preferences, buying behavior, cultural influences, and trends.
Understanding individual factors is crucial for IKEA to align its products, marketing strategies, and customer experience with the evolving needs and expectations of its target audience.
By considering these various aspects in the performance analysis, IKEA can gain insights into its organizational performance, adapt to the changing environment, and make informed decisions to drive continuous improvement and success.
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How did spanish explorer pedro de castañeda describe the high plains of texas? question 4 options: rolling and hilly spacious and level rugged and rocky soft and swampy
The expansive and level Texas high Plains were defined as such by Spanish land developer Pedro De Castaeda, hence option B is correct.
Spanish explorer Pedro De Castaeda wrote a history of the Coronado voyage in what is now Texas. He resided in Vizcaya, Spain, and had previously travelled to Culiacan, Mexico.
In 1540, as Spanish explorers searched for the fabled location "la Cibola," he published his chronicles. He characterized the Texas high Plains as being open and level in his chronicles. Thus, spacious and level is the correct option.
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D O Probabilities of outcomes are shown on the branches emanating from a decision node. Question 14 The procedure for mathematically solving decision trees and determining the optimal policy and EMV is called: O sensitivity analysis O folding back (rollback) O policy iteration Orisk profiling Question 15 2 pts 2 pts Suppose a chance/event node has 3 branches. The first two have probabilities of 0.35 and 0.25 associated with them. Write down the probability associated with the third branch.
The procedure for solving decision trees and determining the optimal policy is called folding back. The probability associated with the third branch is 0.40.
The procedure for mathematically solving decision trees and determining the optimal policy and EMV is called: (Answer: 2) folding back (rollback).
Suppose a chance/event node has 3 branches. The first two branches have probabilities of 0.35 and 0.25 associated with them.
The probability associated with the third branch can be calculated by subtracting the sum of the probabilities of the first two branches from 1. Since the total probability must add up to 1, the probability of the third branch would be 1 - 0.35 - 0.25 = 0.40. Answer: The probability associated with the third branch is 0.40.
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Due: Thursday, July 28, 2022 at B:30 am " thecks on Saturday, fuly 30,2022 at 8:30 am Severe weather con have a significant short-term effect on a restaurant's sales levels fissume you own a restauront chain where business is bikely to be offected by seiere winter weather. How would this impsct the development of your budget?
Severe winter weather can have a significant short-term effect on a restaurant's sales levels, and this can impact the development of a restaurant's budget.
The budget for a restaurant chain that is likely to be affected by severe winter weather would need to take into account the potential for decreased sales during this time. This might mean allocating more money to marketing efforts to encourage customers to visit the restaurant despite the weather, or reducing expenses in other areas to make up for the decrease in revenue.
Additionally, the budget might need to account for increased costs associated with keeping the restaurant open during inclement weather, such as higher heating bills or additional staffing needs. Overall, it is important for a restaurant chain to consider the potential impact of severe winter weather on their sales levels when developing their budget, and to make adjustments as needed to ensure that the restaurant remains profitable even during difficult weather conditions.
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UBS, a bank based in Switzerland, has received a subpoena from the IRS for the bank records of 52,000 U.S. citizens. The IRS alleges that the U.S. taxpayers hid money in UBS accounts for the purpose of avoiding paying taxes. UBS had created a program that recruited tax advisers and their clients under the guise that they could protect their funds from the IRS.Swiss law prohibits banks, under privacy rights, from disclosing information about their customers and their accounts. However, the IRS has obtained a subpoena for the records and a federal judge has issued it because UBS is soliciting business in the United States. One banking minister in Switzerland has indicated, however, that Swiss privacy laws do not apply when there has been fraud.Evaluate the ethics of UBS as well as their customers. If you worked for the bank, would you release the information? Would you place your money in Swiss accounts?
The ethical evaluation of UBS and its customers in this scenario involves considering various factors, including legal obligations, privacy rights, tax evasion, and the role of an individual's personal responsibility.
Here are some key points to consider:
UBS's Ethics:
Deceptive Practices: UBS created a program that recruited tax advisers and clients to help them evade taxes. This practice is ethically questionable as it involves facilitating and encouraging illegal activities.Compliance with Laws: UBS is obligated to comply with the laws of the countries it operates in. While Swiss privacy laws protect customer information, the bank is operating in the United States and subject to U.S. laws. Compliance with a valid subpoena is essential for upholding the rule of law.Responsibility to Society: UBS has a responsibility to contribute to the well-being of society by ensuring that taxes are paid appropriately. Facilitating tax evasion undermines public trust in the banking system and can have negative consequences for social welfare.Customers' Ethics:
Tax Evasion: U.S. citizens who intentionally hid money in UBS accounts to avoid paying taxes are engaging in unethical behavior. Paying taxes is a civic duty that supports essential public services and infrastructure.Individual Responsibility: Each customer has a personal responsibility to comply with tax laws. Engaging in tax evasion not only harms society but also undermines the fairness and integrity of the tax system.For such more question on evaluation:
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Question 13. What is the main accounting issue in IPSAS 32 'Service concession arrangements: grantor'?
a- How the grantor is to recognize revenue
b- Whether the grantor is to recognize a service concession liability
c- Whether the grantor should recognize a service concession asset
d- When the grantor is to recognize expenses under the service concession
The main accounting issue in IPSAS 32 'Service concession arrangements: grantor' is whether the grantor should recognize a service concession asset. This refers to situations where a government or public sector entity grants the right to provide services such as toll roads, bridges, or airports to a private sector operator.
The standard outlines that the grantor should recognize a service concession asset if certain criteria are met. These criteria include control over the service concession asset, the ability to receive significant economic benefits from the asset, and the ability to determine the nature and scope of the services provided.
If the criteria are met, the grantor should recognize the service concession asset on their balance sheet at its fair value. This asset represents the right to receive the services provided under the concession arrangement.
The other options listed in the question, such as recognizing revenue, recognizing a service concession liability, and recognizing expenses, are also important considerations in accounting for service concession arrangements.
However, the main issue addressed in IPSAS 32 is the recognition of a service concession asset by the grantor.
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You expect Commodore Company's stock to pay its next dividend of $6.36 exactly one year from now. After this first dividend, future dividends will grow at -3% for each of the subsequent 2 years and then 5% per year every year thereafter. What is Commodore's intrinsic value today? Use a discount rate of 12.2% and round your answer to the nearest penny.
Athens, Inc has a credit rating of A and wants to issue 15-year bonds at par value. If the 15-year Treasury bond has a YTM of 4.97% and the credit spread for Single A debt over Treasuries is 5.33%, what coupon rate should Athens select? Enter your answer as a decimal and show four decimal places. For example, if your answer is 5.25%, enter .0525.
The bonds are issued at par value, the coupon rate should be set equal to the required yield. Therefore, Athens, Inc should select a coupon rate of 10.30% (or 0.1030 as a decimal) for its bonds.
To calculate Commodore Company's intrinsic value today, we need to determine the present value of its future dividends using the dividend discount model (DDM).
Given information:
First dividend (D₁) = $6.36
Dividend growth rate for the subsequent 2 years (g₁) = -3%
Dividend growth rate after the first 2 years (g₂) = 5%
Discount rate (r) = 12.2%
Step 1: Calculate the present value of the first dividend (D₁):
PV(D₁) = D₁ / (1 + r)¹
PV(D₁) = $6.36 / (1 + 0.122)¹
PV(D₁) = $5.68
Step 2: Calculate the present value of dividends for the subsequent 2 years (D₂ and D₃):
PV(D₂) = D₁ * (1 + g₁) / (1 + r)²
PV(D₂) = $6.36 * (1 - 0.03) / (1 + 0.122)²
PV(D₂) = $5.61
PV(D₃) = D₂ * (1 + g₁) / (1 + r)³
PV(D₃) = $5.61 * (1 - 0.03) / (1 + 0.122)³
PV(D₃) = $5.54
Step 3: Calculate the present value of dividends after the first 2 years (D₄ onwards):
PV(D₄ onwards) = D₃ * (1 + g₂) / (r - g₂)
PV(D₄ onwards) = $5.54 * (1 + 0.05) / (0.122 - 0.05)
PV(D₄ onwards) = $71.72
Step 4: Calculate the intrinsic value by summing up the present values of all dividends:
Intrinsic Value = PV(D₁) + PV(D₂) + PV(D₃) + PV(D₄ onwards)
Intrinsic Value = $5.68 + $5.61 + $5.54 + $71.72
Intrinsic Value = $88.55
Therefore, Commodore Company's intrinsic value today is approximately $88.55.
Now let's move on to the second question:
Athens, Inc wants to issue 15-year bonds at par value. We need to determine the coupon rate for these bonds. The yield to maturity (YTM) for a 15-year Treasury bond is given as 4.97%, and the credit spread for Single A debt over Treasuries is 5.33%.
The required yield for Athens, Inc's bonds would be the sum of the YTM and the credit spread:
Required Yield = YTM + Credit Spread
Required Yield = 4.97% + 5.33%
Required Yield = 10.30%
Since the bonds are issued at par value, the coupon rate should be set equal to the required yield. Therefore, Athens, Inc should select a coupon rate of 10.30% (or 0.1030 as a decimal) for its bonds.
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n
Mohammed wishes to buy some stocks in a reputable company with a 4% tobacco activity, a total debt of $30,000, total cash of $40,000, and a total asset of $100,000. Determine whether this stock is Sharia compliant so Mohammed can invest. [6Marks]
His stock is not Sharia compliant
All the following financial ratios must be met for companies to be considered Shariah-compliant:
1. Revenue from non compliant activities should not exceed 5% of total revenue.
2. Debt is less than 33.333% of total assets
3.Accounts receivable and cash are less than 50% of total assets;
4.Cash and interest bearing items are less than 33.333% of total asset.
Checking Condition 1)
In our case tobacco activity is 4% only, thus does not fall in this category.
Debt = 30,000
Total Assets = 100,000
Debt / Total Assets = 30,000 / 100,000 = 30%
This Condition is also not breached.
Checking Condition 3)
Cash = 40,000
Total Assets = 100,000
Cash / Total Assets = 40,000 / 100,000 = 40%
Ratio is less than 50%, hence complying with the condition.
Checking Condition 4)
Cash = 40,000
Total Assets = 100,000
Cash / Total Assets = 40,000 / 100,000 = 40%
This is higher than 33.33% hence this condition is breached.
It can be concluded that his stock is not Sharia compliant
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Answer questions 1 through 8 based on retirement funding calculation using the 4-step annuity method.
Layla, age 43, currently earns $95,000. Her wage replacement ratio is 82 percent.
She expects that inflation will average 5 percent for her entire life expectancy. She expects to earn 8 percent on her investments and retire at age 67 (full retirement age), possibly living to age 90. Her Social Security retirement benefit in today's dollars is $15,500 per year, for retiring at full retirement age.
Questions 1 through 4: Calculate Layla's capital needed at retirement at age 67 and the amount she must save at the end of each year, assuming she has no current savings accumulated for retirement.
Questions 5 through 8: Calculate the present value of her benefits at ages 63, 67, and 70.
To determine the amount she must save at the end of each year, considering the expected rate of return, inflation rate, and the remaining years until retirement.
To calculate Layla's capital needed at retirement at age 67, we can use the wage replacement ratio. Multiply her current income of $95,000 by the replacement ratio of 82%.To know more about rate of return, visit:
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