Investors should not be happy. Since the bonds have been called, interest rates must have fallen sufficiently such that the YTC is less than the YTM. If investors wish to reinvest their interest receipts, they must do so at lower interest rates.
Investors should not be happy that Templeton called the bonds. The fact that the bonds were called implies that interest rates have fallen, causing the yield to call (YTC) to be lower than the yield to maturity (YTM). As a result, investors who purchased the bonds at issuance and held them until the call date will face the challenge of reinvesting their funds at lower interest rates.
This reduces their potential for earning the same level of return they had been receiving from the bonds. Furthermore, the call premium received by investors does not necessarily compensate for the lower reinvestment opportunities. Therefore, the investor should not be pleased with the call since it introduces reinvestment rate risk and diminishes the potential for maintaining the same level of returns as before.
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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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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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1: Which statement is incorrect? A. A random variable may take on any value. B. A continuous random variable X may assume an (infinitely) uncountable number of distinct values. C. For continuous probability distributions, probability = area D. The discrete uniform distribution describes a random variable, defined on the interval [a, b], that has an equally likely chance of assuming values within a specified range
The incorrect statement from the given options is D. The discrete uniform distribution describes a random variable, defined on the interval [a, b], that has an equally likely chance of assuming values within a specified range.
This statement is incorrect because the given statement is not about discrete uniform distribution. Let's discuss each statement in detail:Option A: A random variable may take on any value. This statement is correct because a random variable is defined as a variable that can take on any value from a given set or range of values.
Option B: A continuous random variable X may assume an (infinitely) uncountable number of distinct values. This statement is correct because a continuous random variable is a random variable that can take any value within a given range, including decimals and fractions. Therefore, it can assume an infinitely uncountable number of distinct values.Option C: For continuous probability distributions, probability = area. This statement is correct because in continuous probability distributions, probability is calculated as the area under the probability density function (PDF) curve within a given range.
Option D: The discrete uniform distribution describes a random variable, defined on the interval [a, b], that has an equally likely chance of assuming values within a specified range. This statement is incorrect because the given statement is about the uniform distribution, not the discrete uniform distribution. The uniform distribution is a continuous probability distribution that describes a random variable that has an equal likelihood of assuming any value within a given range.
On the other hand, the discrete uniform distribution describes a random variable that has an equally likely chance of assuming a finite number of values within a specified range. Therefore, the statement is incorrect because it is not about the discrete uniform distribution. Hence, option D is incorrect.
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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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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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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.
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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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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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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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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. Explain the different types of economies and describe the advantages of doing business in developing and emerging markets. 2. Explain the impact of globalization on developing international product strategies by focusing on marketing. promotional, distribution and pricing strategies, ie, the 4Ps of marketing done internationally.
1. There are three main types of economies: traditional, command, and market economies. Traditional economies are based on customs, traditions, and historical practices, where resources are allocated according to societal norms.
Advantages of doing business in developing and emerging markets include:
a) Untapped Market Potential: Developing and emerging markets often have a growing middle class and increasing consumer purchasing power. This presents opportunities for businesses to tap into new markets and expand their customer base.
b) Lower Operating Costs: Developing markets often offer lower labor and production costs compared to developed countries. This can result in cost savings for businesses, making their products or services more competitive in terms of pricing.
c) Resource Availability: Many developing and emerging markets possess abundant natural resources or have access to them. This can be advantageous for businesses that rely on specific resources for their operations or production.
d) Favorable Regulations and Incentives: Governments in developing and emerging markets often provide incentives and favorable regulations to attract foreign investments. This can include tax breaks, subsidies, streamlined bureaucratic processes, and relaxed trade barriers.
2. Globalization has a significant impact on developing international product strategies, including marketing, promotional, distribution, and pricing strategies (the 4Ps of marketing).
a) Marketing Strategies: Globalization necessitates adapting marketing strategies to cater to diverse cultural, economic, and social contexts. This involves conducting market research, understanding consumer preferences, and customizing products or messages to resonate with international audiences.
b) Promotional Strategies: Global promotional strategies require considering cultural nuances, language preferences, and communication channels in different markets. Businesses must tailor their advertising, public relations, and sales promotion efforts to effectively reach and engage international customers.
c) Distribution Strategies: Global distribution strategies involve selecting appropriate channels to reach target markets, considering factors such as infrastructure, logistics, and local distribution networks. This may involve partnering with local distributors, setting up subsidiaries, or utilizing e-commerce platforms.
d) Pricing Strategies: Pricing strategies in international markets must account for factors like currency fluctuations, local market conditions, competitive landscape, and purchasing power. Businesses need to strike a balance between maintaining profitability and offering competitive prices in different markets.
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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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If you invest $10,000 today and another $10,000 a year from today, what will be the total value of your investments at the end of 10 years from today? Assume that your investments earn a 6% return.
Group of answer choices
$35,816.95
$34,803.27
$17,908.48
$16,894.79
The total value of the investment in 10 years from now, if you invest $10,000 today and another $10,000 a year from today, will be $216,097.12.
In the present case, let us assume that the annual compounding of the investment is done over 10 years, with a 6% return per annum.
In the first year, the investment will grow by 6% of $10,000 = $600. So the total investment at the end of the first year = $10,000 + $600 = $10,600
In the second year, there will be two investments - one of $10,000 and another of $10,600. Both will grow by 6%. Thus the investment at the end of the second year will be: $10,000 x 1.06 + $10,600 x 1.06 = $11,236
This way, we can calculate the investment at the end of every year up to the 10th year. At the end of the 10th year, the total investment will be $216,097.12.
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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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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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Which of the following would be considered an inferior good?
a.) A used car that can be traded in for a newer and better one
b.) A flight to the beach for a week-long spring break vacation
c.) Eating at high-end restaurants
d.) New professional clothes that can be bought with a higher income
The correct answer is c.) Eating at high-end restaurants. It is an inferior good.
Inferior goods are goods for which demand decreases as consumer income increases. They are typically considered lower quality or less desirable compared to other alternatives. In this case, eating at high-end restaurants would be considered an inferior good. As income increases, people tend to have more disposable income and may choose to dine at higher-quality establishments or explore other dining options rather than expensive fine dining experiences. Therefore, the demand for eating at high-end restaurants decreases as income rises, making it an example of an inferior good.
Inferior goods are characterized by a negative income elasticity of demand, meaning that as income increases, the demand for these goods decreases. The reasoning behind this is that as consumers' income rises, they can afford to purchase higher-quality alternatives or indulge in more luxurious options. In the given options, a used car that can be traded in for a newer and better one (a) and new professional clothes that can be bought with a higher income (d) are both examples of normal goods.
As income increases, the demand for better cars and nicer clothes tends to increase. Similarly, a flight to the beach for a week-long spring break vacation (b) is also a normal good as people with higher incomes may be more inclined to spend on leisure activities and vacations. However, eating at high-end restaurants (c) is an example of an inferior good. As income rises, people may opt for other dining options or higher-quality establishments, leading to a decrease in demand for expensive fine dining experiences.
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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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You will retire in 20 ycars. After you retire you will withdraw 560.000 per year for 35 years. How much do you have to deposit each year until you retire? Assume that you can eam 9.50% on investments. $11, 1×2.46 You will nced to save per year.
You Need to deposit approximately $20,107.20 each year until you retire in order to withdraw $560,000 per year for 35 years after retirement.
To determine how much you need to deposit each year until you retire, you can use the formula for the future value of an ordinary annuity.
The future value of an ordinary annuity formula is:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the annuity
P is the annual deposit
r is the interest rate per period
n is the number of periods
In this case, you want to find the annual deposit amount (P). Let's plug in the given values into the formula:
FV = $560,000 (withdrawal per year after retirement)
r = 9.50% (interest rate)
n = 35 (number of years you will withdraw money after retirement)
Now, we can rearrange the formula to solve for P:
P = FV * (r / [(1 + r)^n - 1])
P = $560,000 * (0.095 / [(1 + 0.095)^35 - 1])
Using a calculator, we can simplify the expression inside the brackets and solve for P:
P ≈ $560,000 * (0.095 / (3.647 - 1))
P ≈ $560,000 * (0.095 / 2.647)
P ≈ $560,000 * 0.03597
P ≈ $20,107.20
Therefore, you need to deposit approximately $20,107.20 each year until you retire in order to withdraw $560,000 per year for 35 years after retirement.
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8. Ron Corporation had 8 million shares of common stock outstanding during the current calendar year. On July 1, Ron issued ten thousand $1,000 face value, convertible bonds. Each bond is convertible into 50 shares of common stock. The bonds were issued at face amount and pay interest semi annually for 20 years. They have a stated rate of 12%. Jet had income before tax of $24 million and a net income of $18 million. Ron would report the following EPS data (rounded): a. Basic EPS $2.25 Diluted EPS $2.24 b. $2.25 n/a antidilutive c. $2.25 $2.16 d. $2.25 $2.12
Based on the information provided, Ron Corporation would report the following EPS data (rounded):
a. Basic EPS: $2.25
Diluted EPS: $2.24
Basic EPS calculates earnings per share based on the weighted average number of common shares outstanding during the period. In this case, there were 8 million shares outstanding throughout the year.
To calculate diluted EPS, potential common shares from convertible securities need to be considered. Ron issued convertible bond on July 1, which are convertible into 50 shares of common stock each. Since the bonds were issued halfway through the year, the impact on diluted EPS would be proportional.
To calculate the diluted EPS, we need to determine the potential number of shares that would be added if all the bonds were converted. Since each bond is convertible into 50 shares, the total number of potential additional shares is 10,000 bonds * 50 shares/bond = 500,000 shares.
the diluted EPS is calculated by dividing the net income of $18 million by the sum of the weighted average shares outstanding (8 million) and the potential additional shares (500,000), resulting in $2.24.
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The faculty model
1. describes a training department organized like the structure
of a college
2. involves using university faculty as trainers
3. involves consulting with university faculty regarding
The Faculty Model describes a training department structured like a university that involves using university faculty as trainers, and consulting with university faculty regarding specialized training subjects.
This model is a training and development approach that seeks to provide specific and targeted training, particularly for highly technical or specialized skills. It recognizes the important role that universities play in advancing knowledge and training, particularly in certain areas, and seeks to harness this expertise to create more effective and efficient training programs.This model involves creating a formalized training department that is structured like a university, complete with its own academic calendar, course catalog, and syllabi.
It relies heavily on the use of university faculty as trainers who have the necessary expertise and knowledge to deliver high-quality training in their specific fields. These trainers may be full-time faculty, part-time lecturers, or adjunct professors who are brought in on a contract basis to teach specific courses.The Faculty Model also involves consulting with university faculty to develop and refine training programs. These consultations can help to ensure that the training provided is up-to-date and relevant to the specific needs of the organization.
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Question 6.Which of the following statements related to Canadian taxation is correct:A Interest income received by a corporation is tax-free.B Dividend income received by a Canadian corporation from another Canadian company is taxable.C Dividend paid out by a corporation is treated as tax deductible expense.D Interest paid by a corporation is treated as before-tax expense, so it is 100% tax deductible.Question 7. Which of the following items will show a cash inflow (cash flow increase) to the firm:A increase of inventory B. decrease of marketable securities C. increase in accounts receivablesD decrease of borrowings from banksE. increase of fixed assets
The correct option is B. Dividend income received by a Canadian corporation from another Canadian company is taxable.
The option that shows a cash inflow (cash flow increase) to the firm is C. increase in accounts receivables.Explanation for option 6:B. Dividend income received by a Canadian corporation from another Canadian company is taxable.In Canada, dividends received by Canadian corporations from other Canadian companies are subject to taxation. The dividend is taxed at a reduced rate because of the dividend tax credit (DTC). The DTC is a non-refundable tax credit that provides a tax break to Canadian taxpayers who receive dividends from Canadian corporations.
Increase in accounts receivables - An increase in accounts receivable would result in a cash inflow. Accounts receivable (AR) is the money owed to a company for goods or services that have already been delivered. When customers pay their bills, the company receives cash, which is reflected as a cash inflow in the cash flow statement.
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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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Strategic Management
-How can a decision maker identify strategic factors in a
corporation’s external international environment? Your
answer shouldn't exceed 120 words.
Decision makers can gain a comprehensive understanding of the external international environment and identify the critical strategic factors that will shape the corporation's success in the global market.
A decision maker can identify strategic factors in a corporation's external international environment through the following steps:
Environmental scanning: Conduct a thorough analysis of the global market, considering political, economic, social, technological, and legal factors.
Competitor analysis: Assess the competitive landscape, including the strengths, weaknesses, opportunities, and threats posed by rival firms operating internationally.
Market research: Gather information about customer preferences, trends, and demands in various international markets.
Stakeholder analysis: Identify key stakeholders such as governments, regulatory bodies, suppliers, and partners, and evaluate their influence and impact on the corporation's international operations.
PESTEL analysis: Examine the political, economic, social, technological, environmental, and legal factors affecting the corporation's international environment.
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A critical examination of the possible types of employee reactions to the proposed change, again using the key theory {The theory is Kirkpatrick’s reactions to change (2001) – positive, negative and mixed and the other model is Carnall’s coping cycle (2003)} to underpin the discussion and giving consideration to the different types of employees employed by Eagle Air.
A critical examination of the possible types of employee reactions to the proposed change at Eagle Air can be conducted using Kirkpatrick's reactions to change (2001) and Carnall's coping cycle (2003).
Kirkpatrick's theory suggests that employees can have positive, negative, or mixed reactions to change. Positive reactions may include enthusiasm, motivation, and excitement about the proposed change. Negative reactions may manifest as resistance, fear, and skepticism towards the change. Mixed reactions may involve a combination of positive and negative emotions.
Carnall's coping cycle provides a framework to understand how employees adapt to change. It consists of four stages: denial, resistance, exploration, and commitment. In the denial stage, employees may refuse to acknowledge the need for change.
When examining the types of employees employed by Eagle Air, it is important to consider their individual characteristics, experiences, and attitudes. Different employees may respond differently to the proposed change based on factors such as their job role, level of expertise, and personal circumstances.
By utilizing these theories, Eagle Air can gain insights into the potential reactions and coping mechanisms of their employees, enabling them to plan and implement the proposed change effectively.
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If your investment has a return rate of 9.2%, what is the annuity that you will have to invest for the next three years to reach your goal of $28,800 three years from now? O $8,768.55 O $8,242.44 O $8,154.75 O $8,505.49 O $9,470.03
The annual annuity that needs to be invested to reach the goal would be $8,505.49.
The annuity that you will have to invest for the next three years to reach your goal of $28,800 three years from now, if your investment has a return rate of 9.2% would be $8,505.49. Here is the detailed solution below:Given,Future value (FV) = $28,800
Number of years (n) = 3
Return rate (r) = 9.2% An annuity is a series of equal payments made at equal intervals. The present value of an annuity is the sum of each payment's present value for all future payment periods.
The formula for annuity payments is:
PMT = FV ×[tex](r / [1 − (1 + r)−n])[/tex]
PMT = 28800 × (0.092 / [1 − (1 + 0.092)−3])
PMT = 28800 × (0.092 / [1 − (1.092)−3])
PMT = 28800 × (0.092 / [1 − 0.784])
PMT = 28800 × (0.092 / 0.216)
PMT = 12384/3
PMT = $4,128 Now, the annual annuity that needs to be invested to reach the goal would be $8,505.49.
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Radovilsky Manufacturing Company, in Hayward, Califomia, makes flashing lights for toys. The company operates its production facility 300 days per year. It has orders for about 11,500 flashing lights per year and has the capability of producing 95 per day. Setting up the light production costs $48. The cost of each light is $1.05. The holding cost is $0.15 per light per year. a) What is the optimal size of the production run? units (round your response to the nearest whole number).
Find the following:
A. Optimal Size of Production
B. Average Inventory
C.Average set up cost per year
D. Annual purchase cost of lights
The optimal size of the production run is 121 units, the average inventory is 60.5 units, the average setup cost per year is $4,528.10, and the annual purchase cost of lights is $12,075.
To calculate the optimal production run size, we can use the economic order quantity (EOQ) formula. The EOQ formula is given by:
EOQ = sqrt((2DS) / H)
Where:
D = Annual demand (11,500 units)
S = Setup cost per production run ($48)
H = Holding cost per unit per year ($0.15)
Plugging in the values, we get:
EOQ = sqrt((2 * 11,500 * 48) / 0.15) = 120.83
Rounding this to the nearest whole number, the optimal size of the production run is 121 units.
To find the average inventory, we can use the EOQ formula:
Average Inventory = EOQ / 2 = 121 / 2 = 60.5 units
The average setup cost per year can be calculated by multiplying the number of production runs per year by the setup cost:
Average Setup Cost per Year = Number of Production Runs * Setup Cost = 11,500 / 121 * 48 = $4,528.10
The annual purchase cost of lights can be calculated by multiplying the annual demand by the cost per light:
Annual Purchase Cost of Lights = Annual Demand * Cost per Light = 11,500 * $1.05 = $12,075
Therefore, the optimal size of the production run is 121 units, the average inventory is 60.5 units, the average setup cost per year is $4,528.10, and the annual purchase cost of lights is $12,075.
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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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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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at the federal level, an _______ functions within an established
cabinet department.
a. Independent agency. b. Executive agency. c. State agency. d.
Legislative agency.
The correct answer is option a. Independent agency. At the federal level, a functions within an established cabinet department is Independent agency.
At the federal level, an independent agency functions within an established cabinet department. Independent agencies are federal agencies that operate independently from the executive departments and are created by Congress to carry out specific functions.
They have specific missions and often have regulatory or oversight authority in their respective areas.
Examples of independent agencies include the Environmental Protection Agency (EPA), Federal Trade Commission (FTC), and Securities and Exchange Commission (SEC).
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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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