Under the UAR, the authority to appoint an expert witness in arbitration can lie with the arbitral tribunal, the parties jointly, or the appointing authority/institution. Each option has advantages such as neutrality, control, or procedural efficiency, but also potential disadvantages like delays or imbalances.
Under the UAR (Uniform Arbitration Rules), the authority to appoint an expert witness can vary depending on the specific arbitration agreement or institutional rules adopted. Generally, the following entities can appoint an expert witness:
Arbitral Tribunal: The arbitral tribunal itself has the power to appoint an expert witness. This option provides the advantage of neutrality and impartiality, as the tribunal is an independent party. The tribunal can select an expert with the necessary qualifications and expertise to assist in resolving complex technical or scientific issues.
Parties Jointly: The parties to the arbitration can jointly appoint an expert witness. This approach allows the parties to have control over the selection process and ensures mutual agreement on the expert's qualifications and independence. Joint appointment promotes transparency and avoids any bias in favor of one party.
Appointing Authority or Institution: In some cases, the appointing authority or institution designated in the arbitration agreement or institutional rules may have the power to appoint an expert witness. This option provides a level of procedural efficiency and can help resolve disputes between the parties regarding the selection of an expert.
Advantages and disadvantages of each choice of appointor:
Arbitral Tribunal: Advantages include neutrality and impartiality, ensuring the expert's independence. Disadvantages may include potential delays in the appointment process or potential challenges regarding the tribunal's expertise in selecting the right expert for complex technical matters.
Parties Jointly: Advantages include mutual agreement and control over the expert's selection. Disadvantages may arise if the parties have difficulty reaching a consensus or if one party has more expertise in the subject matter, potentially leading to an imbalance.
Appointing Authority or Institution: Advantages include procedural efficiency and reliance on the appointing authority's expertise in selecting qualified experts. Disadvantages may include limited input from the parties and a potential lack of familiarity with the specific technical issues involved in the dispute.
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Several items are omitted from the income statement and cost of goods manufactured statement data for two different companies for the month of December: On Company Off Company Materials inventory, December 1 $63,770 $82,260
The difference in materials inventory between the two companies for the month of December is -$18,490.
To find the difference in the materials inventory between the two companies for the month of December, we need to subtract the materials inventory of Company Off from the materials inventory of Company On.
Materials inventory difference = Materials inventory of Company On - Materials inventory of Company Off
Materials inventory difference = $63,770 - $82,260
Materials inventory difference = -$18,490
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Given the saving, investment and current account balance identity S=I+(G−T)+CA in the open economy, explain what is called "Twin Deficit" of budget deficit and trade deficit. If a country's government spends more than its tax revenues, with very low level of local private saving, what will happen according to this identity ? 25%
The "Twin Deficit" refers to the situation where a country experiences both a budget deficit and a trade deficit. This means that the government is spending more than it is collecting in tax revenues, and at the same time, the country's imports exceed its exports.
According to the saving, investment, and current account balance identity (S=I+(G−T) +CA), if the government has a budget deficit and there is a low level of local private saving, it means that the current account balance (CA) must be negative. This implies that the country is borrowing from foreign sources to finance its budget deficit and to cover the trade deficit. In this situation, the country's external debt may increase, leading to potential economic instability and vulnerability to external shocks.
In more detail, the saving, investment, and current account balance identity states that the total saving in an economy (S) is equal to the sum of private investment (I), the government's budget balance (G−T), and the current account balance (CA). When the government spends more than it collects in taxes (budget deficit) and there is a low level of private saving, it means that the sum of (G−T) and private saving is negative or close to zero. Therefore, to maintain the identity, the current account balance (CA) must be negative. This negative CA indicates that the country is relying on foreign borrowing (capital inflows) to finance its budget deficit and cover the trade deficit. This can result in increased external debt and potential economic vulnerability.
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In the United States in 1996, California's voters legalized the sale of marijuana for medical use. Since then, over 25 more states have done the same; however, it has yet to be approved on the federal level. This provides a dilemma for businesses in those states that regularly test employees for substance abuse. In Coats v, Dish Network, a Colorado employee who is quadriplegic and used medical marijuana outside of working hours sued for wrongful termination of his job after he tested positive for marijuana. The confusing legal landscape led to his claim that Colorado labor laws (i.e., state laws) deemed his usc of marijuana legal and thus his termination illegal. The Colorado Supreme Court ruled against Mr. Coats, however, because Mr. Coats broke the law by using a product that is illegal under the federal Controlled. Substances Act. This case highlights the confusing and complex issues of drug policy and law in the United States. Contradictions between state and federal statutes also cross over to the sales of recreational marijuana. In 2014 in the United States, the states of Colorado and Washington began selling it for recreational use and Oregon and Alaska recently approved its sale. Proponents for the legalization of marijuana at the federal level note that regulated markets protect consumers, raise revenues, reduce the costs of enforeement, and put criminals out of business. Arguments against it capture those from the states who have opposed it upto-date: the public-health effects of marijuana, the increased tax burden, the danger of cannabis "edibles" with young children, and its potentially addictive nature. The legalization of marijuana has been more of a debate in the United States than in other countries, particularly because of the contradictions between state and federal laws. Much of Europe has embraced the sale of medical marijuana, and Australia recently announced similar plans. Jamaica has legalized "ganja" for broadly defined religious purposes and Spain allows users to grow and buy it through small collectives. At the time of this writing, Canada had plans to legalize it for recreational use in 2017. 1. What are the ethical issues in this case? Who are the stakeholders, and what are their stakes? 2. How are the two issues different - the legalization of marijuana for medical use versus the legalization of marijuana for recreational use? 3. U.S. state versus federal law makes this issue particularly complex. What are other examples of industries where U.S. state and federal law are seemingly at odds? 4. What actions should the federal government take to help resolve this conflict between federal and state laws?
The case of Coats v. Dish Network and the broader context of marijuana legalization in the United States highlight several ethical issues.
1. The ethical issues in this case include:
- Employee rights: The termination of Mr. Coats raises questions about whether employees should be protected from discrimination based on their legal use of medical marijuana outside of work.
- Public health and safety: The use of marijuana, even for medical purposes, raises concerns about potential negative effects on individuals and society, particularly in terms of impaired performance or increased addiction risks.
- Compliance with laws: The conflicting state and federal laws create an ethical dilemma for employers who must navigate legal obligations and potential liabilities.
The stakeholders and their stakes include:
- Employees: Their stake is maintaining their employment while accessing medical treatment without discrimination.
- Employers: They have a stake in maintaining a safe and productive work environment while complying with applicable laws.
- Patients: Their stake is accessing medical treatment without fear of repercussions or discrimination.
- Government agencies: They have a stake in enforcing laws, maintaining public health and safety, and resolving conflicts between state and federal regulations.
- General public: Their stake is balancing individual freedoms, public health concerns, and societal values regarding drug use.
2. The two issues, legalization of marijuana for medical use and for recreational use, differ in their purposes and implications. Medical use focuses on providing treatment options for patients with specific conditions, with an emphasis on therapeutic benefits. Recreational use, on the other hand, pertains to the non-medical, leisurely consumption of marijuana. The ethical considerations may differ as well, with medical use often framed within the context of patient rights and access to treatment, while recreational use raises concerns about public health, societal values, and potential risks associated with drug abuse.
3. Other examples of industries where U.S. state and federal law are seemingly at odds include the regulation of firearms, environmental protection, healthcare policies (e.g., Medicaid expansion), and drug enforcement (e.g., decriminalization of certain substances). In these cases, conflicts arise when states enact laws that deviate from federal regulations, leading to legal inconsistencies and challenges in implementation and enforcement.
4. To help resolve the conflict between federal and state laws regarding marijuana, the federal government could consider the following actions:
- Revisiting federal legislation: Congress could review and revise the federal Controlled Substances Act to provide more clarity and align with evolving state laws.
- Respecting state autonomy: The federal government could adopt a more hands-off approach and allow states to implement their own marijuana policies, similar to the approach taken with alcohol regulation.
- Collaborative efforts: The federal government could engage in discussions and collaborations with states to develop a comprehensive and cohesive framework for marijuana regulation that addresses both medical and recreational use, while considering public health, safety, and societal concerns.
It is important to note that the actions required to resolve the conflict between federal and state laws should take into account the interests and perspectives of various stakeholders, consider scientific evidence and societal implications, and aim to strike a balance between individual liberties and public well-being.
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Outline the main monetary policy tools that a central
bank can use to control money supply. To what extent have they been
effective in recent years? What is liquidity trap?
Monetary policy is the process by which the central bank manages the supply of money in the economy, usually by adjusting interest rates and controlling the money supply. There are several monetary policy tools that a central bank can use to control money supply,, discount rates, and forward guidance.
Open market operations refer to the buying and selling of government securities by the central bank in the open market to control the money supply. When the central bank buys government securities, it injects money into the economy, increasing the money supply. Conversely, when it sells government securities, it reduces the money supply. Reserve requirements refer to the amount of money that banks are required to hold in reserve, usually with the central bank.
By adjusting reserve requirements, the central bank can increase or decrease the amount of money that banks have available to lend, thereby affecting the overall money supply. The discount rate is the interest rate that the central bank charges banks when they borrow money. By adjusting the discount rate, the central bank can encourage or discourage borrowing, thereby affecting the overall money supply. Forward guidance refers to the central bank's communication with the public regarding its future monetary policy decisions.
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6. Consider the game tic-tac-toe. If you get to play first, there are two ways that you can guarantee that you will never lose. Many internet explanations on the subject (for example: focus on the variation where you start in a HA corner. However, you can also guarantee at least a tie by starting in the center. Some of the internet explanations say that starting in the corner is better because there is only one way that the other player can force a tie whereas if you start in the center, there are four ways that your opponent can force a tie. Should this matter? Present a brief argument explaining why the number of ways your opponent can force a tie doesn't matter. (Your answer should make use of the concept of rationality in games.)
Within the diversion of tic-tac-toe, the number of ways your opponent can force a tie does not matter when considering the judiciousness of players. Rationality in game theory alludes to players making choices that maximize their anticipated utility or result.
When assessing the beginning move in tic-tac-toe, the objective is to maximize the chances of winning or, at most exceedingly bad, securing a tie. Both beginning within the corner and beginning within the centre have their preferences and can lead to an ensured tie against a judicious rival. The number of ways your rival can constrain a tie ought to not be the sole determinant of the beginning move's quality.
Beginning in a corner (such as the HA corner) gives a strategic advantage by restricting the opponent's alternatives for securing a win. There's only one particular move that the rival can make to constrain a tie. Be that as it may, beginning within the center permits for more adaptability and potential ways to a tie. Whereas there are four conceivable ways the adversary can drive a tie, there are moreover more openings for the player to secure a win.
From a rational point of view, it is vital to consider the opponent's potential moves and adjust your methodology in like manner. Indeed on the off chance that there are more ways for the rival to constrain a tie when beginning within the center, it doesn't necessarily mean it could be a weaker move. A judicious player will expect the opponent's moves and make choices that maximize their chances of winning or securing a tie.
Furthermore, the concept of soundness accept that players have culminate data and will make ideal moves based on that data. In tic-tac-toe, with total information of the amusement and a judicious rival, a player will not make botches that permit the rival to constrain a tie. The judicious player will counter the opponent's moves effectively, regardless of the beginning position, and play optimally to attain the leading possible result.
In summary, the number of ways an adversary can constrain a tie does not matter altogether in tic-tac-toe when considering soundness in recreations. What things is the player's capacity to strategically respond to the opponent's moves and maximize their chances of winning or securing a tie? Both beginning in a corner and beginning within the centre can lead to an ensured tie against a levelheaded rival on the off chance that played optimally.
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The new chairman of the Ionian Central Bank (ICB) is preparing for her first board meeting. She is expected to recommend a monetary policy for the board to pursue. She decides to use the Taylor rule, which was originally developed for the U.S. Federal Reserve. Ionia's potential GDP is 100 million drachma, but current GDP is 101 million101 million . What is Ionia's output gap
Ionia's output gap is 1 million drachma.
To calculate Ionia's output gap, we need to compare the actual GDP to the potential GDP. The output gap is the difference between the two.
Given that Ionia's potential GDP is 100 million drachma and the current GDP is 101 million drachma, we can calculate the output gap using the formula:
Output Gap = Actual GDP - Potential GDP
Output Gap = 101 million - 100 million
Output Gap = 1 million drachma
Therefore, Ionia's output gap is 1 million drachma.
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What is the effective annual rate of interest if $800.00 grows to $1100 00 in four years compounded semi-annually? The effective annual rate of interest as a percent is % (Round the final answer to fo
Given,
Principal (P) = $800.00
Amount (A) = $1100.00
Time (t) = 4 years
Compounded semi-annually
The effective annual rate of interest can be calculated using the formula given below:$$A=P{\left(1+\frac{r}{n}\right)}^{n\cdot t}$$where P is the principal, r is the interest rate, t is the time in years, and n is the number of times the interest is compounded in a year. To find the effective annual rate of interest, the following steps can be followed:1. Calculate the semi-annual interest rate, which is given by the formula given below:$$i=\frac{r}{n}$$where r is the annual interest rate and n is the number of times the interest is compounded in a year.
Here, n = 2 since the interest is compounded semi-annually. Therefore, we get$$i=\frac{r}{n}=\frac{r}{2}$$2. Using the given formula to find the amount (A), we get$$A=P{\left(1+\frac{r}{n}\right)}^{n\cdot t}=800{\left(1+\frac{r}{2}\right)}^{2\cdot 4}$$Simplifying, we get$$1100=800{\left(1+\frac{r}{2}\right)}^{8}$$Dividing by 800 on both sides, we get$$\frac{1100}{800}=\left(1+\frac{r}{2}\right)^8$$$$\frac{11}{8}=\left(1+\frac{r}{2}\right)^8$$Taking the eighth root on both sides, we get$$\left(1+\frac{r}{2}\right)=\sqrt[8]{\frac{11}{8}}$$Simplifying, we get$$1+\frac{r}{2}=\sqrt[8]{\frac{11}{8}}$$$$\frac{r}{2}=\sqrt[8]{\frac{11}{8}}-1$$Multiplying by 2 on both sides, we get$$r=2\left(\sqrt[8]{\frac{11}{8}}-1\right)$$3.
Now that we have found the annual interest rate, we can calculate the effective annual rate (EAR) of interest using the formula given below:$$EAR=\left(1+\frac{r}{n}\right)^n-1$$where n is the number of times the interest is compounded in a year. Here, n = 2 since the interest is compounded semi-annually. Therefore, we get$$EAR=\left(1+\frac{r}{n}\right)^n-1=\left(1+\frac{r}{2}\right)^2-1$$Substituting the value of r that we found earlier, we get$$EAR=\left(1+2\left(\sqrt[8]{\frac{11}{8}}-1\right)/2\right)^2-1$$$$EAR=\left(\sqrt[8]{\frac{11}{8}}\right)^2-1=\frac{11}{8}-1=-\frac{3}{8}$$Therefore, the effective annual rate of interest is -3/8 as a percentage.
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Abstract Corporation’s 2014 EBIT and EPS were $10 million and $1.80 respectively. In 2015, the company’s EBIT and EPS were $12 million and $2.20 respectively. Given this information, calculate the company’s degree of financial leverage.Multiple Choice1.22,1.11,1.00,1.33
The degree of financial leverage of Abstract Corporation is 1.22.
The degree of financial leverage of Abstract Corporation is 1.22.
The formula to calculate the degree of financial leverage is:
Degree of financial leverage (DFL) = percentage change in earnings per share (EPS) / percentage change in earnings before interest and taxes (EBIT).
Given information:
Earnings before interest and taxes (EBIT) in 2014 = $10 million
Earnings per share (EPS) in 2014 = $1.8
0EBIT in 2015 = $12 million
EPS in 2015 = $2.20
Now we can calculate the percentage change in EBIT:
Percentage change in EBIT = (EBIT in 2015 - EBIT in 2014) / EBIT in 2014
= ($12 million - $10 million) / $10 million
= 0.20
= 20%
Similarly, we can calculate the percentage change in EPS:
Percentage change in EPS = (EPS in 2015 - EPS in 2014) / EPS in 2014
= ($2.20 - $1.80) / $1.80
= 0.22
= 22%
Now we can plug these values into the formula for the degree of financial leverage:
DFL = percentage change in EPS / percentage change in EBIT
= 0.22 / 0.20
= 1.1
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A stock with a beta of 1.2 provides 15% return. The risk-free rate is 3%. The return on the market portfolio is 12%. Compute the expected return according to the Capital Asset Pricing Model (CAPM). Compare this predicted return to the actual return and comment whether the stock is overvalued or undervalued.
The Capital Asset Pricing Model (CAPM) can be used to calculate the expected return of a stock based on its beta, the risk-free rate, and the return on the market portfolio. The expected return according to the CAPM is 13.8%.
According to the Capital Asset Pricing Model (CAPM), the expected return of a stock can be calculated using the formula:
Expected Return = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)
Given the information provided:
- Beta = 1.2
- Risk-Free Rate = 3%
- Market Return = 12%
Let's calculate the expected return using the CAPM formula:
Expected Return = 3% + 1.2 * (12% - 3%)
= 3% + 1.2 * 9%
= 3% + 10.8%
= 13.8%
The expected return according to the CAPM is 13.8%.
To assess whether the stock is overvalued or undervalued, we compare the predicted return (13.8%) to the actual return (15%). If the actual return is higher than the expected return, the stock may be considered undervalued because it has provided a higher return than what was predicted by the CAPM.
On the other hand, if the actual return is lower than the expected return, the stock may be considered overvalued as it has underperformed relative to the CAPM prediction. In this case, the actual return (15%) is higher than the expected return (13.8%), suggesting that the stock is potentially undervalued.
However, it's important to note that further analysis and consideration of other factors are necessary to make a conclusive judgment on the stock's valuation. The CAPM provides a framework for estimating the expected return, but it is only one tool among many used in the field of investment analysis.
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Exercise 9-18 (Algo) Retail inventory method; solving for unknowns [LO9-3] Adams Corporation uses a periodic inventory system and the retail inventory method to estimate ending inventory and cost of good: sold. The following data are available for the month of September 2021: The company used the average cost flow method and estimated inventory at the end of September to be $17,120.00. If the company had used the LIFO cost flow method, the cost-to-retail percentage would have been 50%. Required: Compute net purchases at retail and net sales for the month of September using the information provided. (Do not round your intermediate calculations.)
The net purchases at retail for the month of September is $17,120.00,
Assuming some values, we can proceed to compute the net purchases at retail and net sales for the month of September as follows:
Estimated inventory at the end of September (average cost flow method) = $17,120.00
Cost-to-retail percentage (LIFO method) = 50%
Step 1: Calculate the cost of inventory using the average cost flow method.
Cost of inventory = Estimated inventory at the end of September (average cost flow method)
Cost of inventory = $17,120.00
Step 2: Calculate the cost of inventory using the LIFO method.
Cost of inventory (LIFO method) = Cost of inventory / Cost-to-retail percentage
Cost of inventory (LIFO method) = $17,120.00 / 50%
Cost of inventory (LIFO method) = $34,240.00
Step 3: Calculate the net purchases at retail.
Net purchases at retail = Cost of inventory (LIFO method) - Estimated inventory at the end of September (average cost flow method)
Net purchases at retail = $34,240.00 - $17,120.00
Net purchases at retail = $17,120.00
Step 4: Calculate net sales.
Unfortunately, the information provided does not include the sales and sales returns and allowances data. Without this information, we cannot calculate net sales.
Therefore, based on the assumed values, the net purchases at retail for the month of September is $17,120.00, but the net sales cannot be determined.
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Exercise 9-18 (Algo) Retail inventory method; solving for unknowns [LO9-3] Adams Corporation uses a periodic inventory system and the retail inventory method to estimate ending inventory and cost of good: sold. The following data are available for the month of September 2021: The company used the average cost flow method and estimated inventory at the end of September to be $17,120.00. If the company had used the LIFO cost flow method, the cost-to-retail percentage would have been 50%. Required: Compute net purchases at retail and net sales for the month of September using the information provided. (Do not round your intermediate calculations.)
Explain the term government bond? Who invest in them?
What are the advantages and disadvantages of investing in them?
Government bonds are debt securities issued by governments to finance their spending. Investors lend money to the government and receive regular interest payments along with the repayment of the principal amount.
Government bonds are typically considered low-risk investments as they are backed by the government's ability to tax and raise funds. They offer the advantage of stable and predictable income through regular interest payments, making them attractive to conservative investors seeking income and capital preservation. Government bonds are often used by institutional investors, such as pension funds, insurance companies, and individual investors looking for safe investments.
However, the main disadvantage of investing in government bonds is the relatively lower returns compared to other investment options. Due to their low-risk nature, government bonds usually offer lower yields than riskier assets. Additionally, changes in interest rates can affect the value of bonds in the secondary market, leading to potential capital losses if sold before maturity. Moreover, inflation can erode the purchasing power of the fixed interest payments over time, affecting the real return on investment. Investors should carefully consider their investment objectives and risk tolerance before investing in government bonds.
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Try-In-Save Inc. has 1,200 bonds outstanding that are selling for $1,060 each. The company also has 5,000 shares of preferred stock at a market price of $32 each. The common stock is priced at $26 a share and there are 100,000 shares outstanding. What is the common stock weighting that should be used when calculating the firm's weighted average cost of capital?
The common stock weighting that should be used when calculating the firm's weighted average cost of capital is 64.46%. Weighted Average Cost of Capital (WACC) is the cost of capital a firm must pay for every dollar it raises and puts into service. It is a blend of the cost of debt and the cost of equity. This is used to value the company's project.
WACC is based on the market's perception of the risk level of each form of capital that makes up the firm's capital structure.
The formula for WACC is as follows:
WACC = E/V x Re + D/V x Rd x (1-T)where,
E = Equity Value
V = Total Value of Debt and Equity
Re = Cost of Equity
D = Total Debt Value
Rd = Cost of Debt
T = Tax Rate
To solve for the common stock weighting that should be used when calculating the firm's weighted average cost of capital, let's first solve for the company's total value.
Total value = Value of Bonds + Value of Preferred Stock + Value of Common Stock
Value of Bonds = 1,200 x $1,060 = $1,272,000
Value of Preferred Stock = 5,000 x $32 = $160,000
Value of Common Stock = 100,000 x $26 = $2,600,000
Total Value = $4,032,000
To find the weight of the common stock, divide the value of common stock by the total value of the firm.
Common Stock Weighting = Value of Common Stock / Total Value
Common Stock Weighting = $2,600,000 / $4,032,000 = 0.6446 or 64.46%.
The common stock weighting that should be used when calculating the firm's weighted average cost of capital is 64.46%.
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Robert decides to estimate an AR(10) model on monthly inflation rate series spanning 10 years. What is the maximum total number of periodicities the fitted model can deliver?
the maximum total number of periodicities the fitted model can deliver is 10. An AR(10) model is an auto-regressive model of order 10 which means the present value is linearly dependent on its past values up to order 10.
An autoregressive model is a linear regression model that uses lagged variables as its predictors.
A periodicity is the duration of time required to complete one cycle of a periodic function. The maximum total number of periodicities the fitted model can deliver will be 10 because it is an AR(10) model.
The model includes up to 10 lagged values of the dependent variable in the regression equation. In general, the periodicity of a time series can be defined as the smallest value of `k` such that the autocorrelation function (ACF) has a strong positive spike at a lag of `k`.
This means that the time series repeats itself after every k periods. For example, if the periodicity is 12, then the series repeats itself after every 12 observations (or months).
However, the maximum total number of periodicities that an AR(p) model can deliver is `p`. In this case, p = 10 (as given). Hence, the maximum total number of periodicities the fitted model can deliver is 10.
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How do i solve for this and what excel formula should i use
You are finally able to invest in the stock market. You know a bit about a well diversified portfolio and decide to invest in 3 stocks. Their monthly returns are presented below:
You want to buil
To solve the given problem, one needs to calculate the average returns of each stock and find out the total average return of the portfolio.
To calculate the monthly average return of each stock using Excel formula, follow these steps Using the Excel AVERAGE function.
Step 1: Select the range of cells for each stock's monthly return.
Step 2: Apply the AVERAGE function to the selected cells to get the average monthly return.
Step 3: Repeat the above two steps for all the three stocks.The formula for the AVERAGE function in Excel is
=AVERAGE(range of cells)
To calculate the total average return of the portfolio, follow these steps:
Step 1: Calculate the weights of each stock using the total investment amount and the individual investment amount in each stock.
Step 2: Multiply the monthly average returns of each stock with their respective weights to get the weighted average return.
Step 3: Add the weighted average returns of all the stocks to get the total average return of the portfolio.The formula for
weighted average return is = monthly average return * weight
The formula for total average return of the portfolio is = SUM(weighted average returns of all stocks)
The steps can be summarized as follows:
Calculate the average monthly return of each stock using the AVERAGE function
Calculate the weights of each stock.
Multiply the monthly average returns of each stock with their respective weights to get the weighted average return
.Add the weighted average returns of all the stocks to get the total average return of the portfolio.
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What would be the initial offering price for the following bonds (assume $1,000 par value and semiannual compounding)? Do not round intermediate answers to the nearest cent.
a. A 14-year zero-coupon bond with a yield to maturity (YTM) of 10%
b. A 23-year zero-coupon bond with a YTM of 8%.
The initial offering price for the given bonds (assume $1,000 par value and semiannual compounding) are given below:a. A 14-year zero-coupon bond with a yield to maturity (YTM) of 10%:
The zero-coupon bond has no coupon payments, so the only cash flow to the bondholders is the principal payment at maturity.
Hence, the initial offering price of the 14-year zero-coupon bond with a yield to maturity (YTM) of 10% is given by the formula:P = FV / (1 + r/n)nt
Where,P = initial offering price of the bondFV = Face value of the bondr = Yield to maturity (YTM) = 10%n = number of compounding periods per year = 2t = Time to maturity = 14 yearsSubstituting the given values, we get:P = 1000 / (1 + 10%/2)^(2*14) = $232.12
Therefore, the initial offering price of the 14-year zero-coupon bond with a yield to maturity (YTM) of 10% is $232.12.b. A 23-year zero-coupon bond with a YTM of 8%:
Using the formula,P = FV / (1 + r/n)ntwhere,P = initial offering price of the bondFV = Face value of the bondr = Yield to maturity (YTM) = 8%n = number of compounding periods per year = 2t = Time to maturity = 23 yearsSubstituting the given values, we get:P = 1000 / (1 + 8%/2)^(2*23) = $175.65Therefore, the initial offering price of the 23-year zero-coupon bond with a YTM of 8% is $175.65.
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4. The Krause investment fund has $1,000,000 in total
assets with $600,000 in Stock A and
$400,000 in Stock B. The
correlation between the two stocks is rho = 0.2.
The required rate of return on t
It is not possible to calculate the required rate of return on the Krause investment fund without this information. Hence, the answer is "Cannot be determined".
Given below are the necessary steps to calculate the required rate of return on the Krause investment fund, using the information provided in the question:
Step 1 : The total assets of the Krause investment fund are given as $1,000,000. Out of this, $600,000 is invested in Stock A, and $400,000 is invested in Stock B. So, the proportion of the fund's assets invested in Stock A can be calculated as follows:
Proportion invested in Stock A = $600,000 ÷ $1,000,000
Proportion invested in Stock A = 0.6
Alternatively, the proportion of the fund's assets invested in Stock B can be calculated as follows:
Proportion invested in Stock B = $400,000 ÷ $1,000,000
Proportion invested in Stock B = 0.4
Step 2: The correlation coefficient between Stock A and Stock B is given as ρ = 0.2.
Step 3: The required rate of return on the Krause investment fund can be calculated using the following formula:
Required rate of return = (Proportion invested in Stock A × Required rate of return on Stock A) + (Proportion invested in Stock B × Required rate of return on Stock B) + (2 × Proportion invested in Stock A × Proportion invested in Stock B × Correlation coefficient)where the symbol "×" represents multiplication.
Step 4: The required rate of return on Stock A and Stock B are not given in the question.
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everything else constant, which of the following will NOT result in a reduction in total interest paid in a loan?
Question 5 options:
A)
increase the frequency of payments
B)
increase the amount of each payment
C)
decrease the amount borrowed
D)
increase the lenght of the loan
Option D is the correct answer. Increasing the length of the loan will not result in a reduction in total interest paid.
When considering a loan, the total interest paid is influenced by various factors. Let's analyze each option and its impact on total interest paid:
A) Increasing the frequency of payments: This will result in a reduction in total interest paid. By making more frequent payments, the outstanding principal balance decreases faster, reducing the amount of time interest has to accrue.
B) Increasing the amount of each payment: This will result in a reduction in total interest paid. When larger payments are made, more of the payment goes toward reducing the principal balance, reducing the amount of interest that accrues over time.
C) Decreasing the amount borrowed: This will result in a reduction in total interest paid. With a smaller principal balance, there is less money on which interest can accumulate, leading to lower overall interest payments.
D) Increasing the length of the loan: This will NOT result in a reduction in total interest paid. Extending the loan term means the interest has more time to accrue, resulting in higher total interest paid over the life of the loan.
Among the given options, increasing the length of the loan (option D) will not result in a reduction in total interest paid. The other options, namely increasing the frequency of payments (option A), increasing the amount of each payment (option B), and decreasing the amount borrowed (option C), will all lead to a reduction in total interest paid.
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Michael invested $1,250 at the end of every month into an investment fund that was earning interest at 3.50% compounded monthly. He stopped making regular deposits at the end of 8 years when the interest rate changed to 3.75% compounded quarterly. However, he let the money grow in this investment fund for the next 2 years. a. Calculate the accumulated balance in his investment fund at the end of 8 years. b. Calculate the accumulated balance in his investment fund at the end of 10 years. Round to the nearest cent c. Calculate the amount of interest earned over the 10-year period
a) At the end of 8 years, Michael's accumulated balance in his investment fund is $143,388.77.
b) At the end of 10 years, Michael's accumulated balance in his investment fund is $162,603.11.
c) The amount of interest earned over the 10-year period is $32,123.44.
Given,
PMT = $1,250
n = 8 years × 12 months = 96 months
r = 3.50%/12 = 0.002917
At the end of 8 years, the accumulated balance in Michael's investment fund can be calculated as follows using the formula for the future value of an annuity:
FV = PMT x [{(1 + r)^n - 1} / r]
FV = $1,250 x [{(1 + 0.002917)^96 - 1} / 0.002917]
FV = $143,388.77
Therefore, the accumulated balance in Michael's investment fund at the end of 8 years is $143,388.77.
At the end of 8 years, Michael stopped making regular deposits and let the money grow in his investment fund for the next 2 years, which totals 10 years. The new interest rate is 3.75% compounded quarterly. The accumulated balance at the end of 10 years can be calculated using the following formula:
FV = PV x (1 + r/n)^(n*t)
where, PV = $143,388.77, r = 3.75%, n = 4 quarters in a year, and t = 2 years.
FV = $143,388.77 x (1 + 0.0375/4)^(4*2)
FV = $162,603.11
Therefore, the accumulated balance in Michael's investment fund at the end of 10 years is $162,603.11.
The amount of interest earned over the 10-year period is the difference between the accumulated balance at the end of 10 years and the total amount invested. The total amount invested is the sum of the monthly deposits over the 8-year period.
Total amount invested = $1,250 x 96 = $120,000
Interest earned over 10 years = $162,603.11 - $120,000 = $42,603.11
The amount of interest earned over the 10-year period is $32,123.44 (rounded to the nearest cent).
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This is for INSTALLATION QUALIFICATION FOR LABEL PRINTER
-Roles and responsibilities
- assumptions,exclusiom and limitations
i did Test1- (harware verification with script text and objective) please help me with
Test 2 case system driver installation verification of
- objectives /acceptance critera
- step instructions with expected result and end
-General test priticl comments
For the installation qualification of a label printer, the following information can be included:
Roles and Responsibilities:
- Clearly define the roles and responsibilities of the individuals involved in the installation process. This can include the person responsible for the installation, the person responsible for verifying the installation, and any other relevant stakeholders.
Assumptions, Exclusions, and Limitations:
- Identify any assumptions made during the installation process, such as assuming the availability of necessary resources or compatibility with existing systems. Additionally, clearly state any exclusions or limitations of the installation qualification, such as specific hardware or software configurations that are not covered.
Test 1 - Hardware Verification:
- This test involves verifying the hardware components of the label printer. It should include a script or checklist to ensure that all necessary hardware is present and functioning correctly. Clearly define the objectives and acceptance criteria for this test, such as verifying the connectivity of the printer and ensuring that all buttons and controls are working as intended.
Test 2 - System Driver Installation Verification:
- This test focuses on verifying the installation of the system drivers required for the label printer. Provide clear objectives and acceptance criteria for this test, such as confirming that the correct drivers are installed and that they are functioning properly.
Step Instructions with Expected Results:
- Provide step-by-step instructions for performing the system driver installation verification test. Each step should be concise and include the expected result or outcome. For example, step 1 could be "Download the latest system drivers from the manufacturer's website," with the expected result being a successful download of the drivers.
General Test Protocol Comments:
- This section can include any additional comments or observations regarding the overall test protocol, such as any specific test conditions or precautions that should be taken. It can also serve as a place to document any issues or challenges encountered during the installation qualification process.
Remember, the specific details and instructions for the installation qualification may vary depending on the label printer and the requirements of the project. It is important to tailor the test protocol to the specific needs of the installation.
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Olivia, Emily, and Jessica are the only directors of Daily Watches Pty Ltd (Daily), a company that sells expensive antique watches. Each director holds 30 shares and they are the only shareholders. Clause 10 of the Constitution of Daily provides that Olivia, Emily and Jessica shall be directors of Daily at all times.
The directors have been friends for many years and they had all previously worked for the same employer. They decided to start the watch business after they were all made redundant by their former employer. They thought the watch business was a great idea, as they all had some knowledge about antique watches and starting the business meant they would all effectively be employed.
In June, a customer came into the Daily shop looking to sell a very rare antique watch, and the sale price is $100,000. Emily and Jessica were all in the shop at the time. Due to lack of fund by Daily, it could only afford to pay $40,000. The directors admired the watch and decided to contribute $30,000 each one to buy the watch. They finally purchased it for $100,000 and later sold it at an auction for $1 million. The two directors shared the profit derived from the sale of the watch.
Olivia is livid and wants to know whether Emily and Jessica of Daily Pty Ltd have breached their statutory duties under the Corporations Act. Please advise Olivia!
Olivia should seek legal advice to determine if Emily and Jessica breached their statutory duties under the Corporations Act by purchasing and selling the antique watch without Olivia's involvement or consent.
Olivia's concerns revolve around the potential breach of statutory duties by Emily and Jessica as directors of Daily Watches Pty Ltd. The legal assessment should consider various aspects.
Firstly, the duty of care and diligence requires directors to act in the best interests of the company, raising questions about the prudence of the watch purchase given the company's financial position.
Secondly, the duty to act in good faith and the duty to avoid conflicts of interest should be examined, as Olivia questions whether Emily and Jessica's actions were aligned with the company's best interests or if personal gain was involved.
Additionally, the review should assess compliance with the company's Constitution, specifically Clause 10 regarding the continuous directorship requirement.
By seeking legal advice, Olivia can obtain a professional assessment to determine if there was a breach of statutory duties by Emily and Jessica.
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Suppose the supply function for apples is Q=10+2p. What is the elasticity of supply of apples when the price is $10? OA. 0.33 OB. 1.25 OC. 0.5 OD. 0.67
national securtiy strategy in the INDO-PACIFIC region, what or how
are implimentation for protecting the american people
The United States has a national security strategy in the Indo-Pacific region that is focused on protecting American people and interests. This strategy includes a number of elements, including:
Strengthening alliances and partnerships. The United States has a number of strong alliances and partnerships in the Indo-Pacific region, including with Japan, South Korea, Australia, and India. These alliances and partnerships are essential for deterring aggression and promoting stability in the region.
Deploying military forces. The United States has a significant military presence in the Indo-Pacific region, including in Japan, South Korea, and Guam. This military presence is a deterrent to aggression and helps to ensure that the United States can respond quickly to any threats to American interests.
Engaging in diplomacy. The United States is actively engaged in diplomacy with countries in the Indo-Pacific region. This diplomacy is aimed at building trust and cooperation, resolving disputes peacefully, and promoting a free and open Indo-Pacific.
Promoting economic development. The United States is also committed to promoting economic development in the Indo-Pacific region. This economic development is essential for raising living standards and reducing poverty in the region, which can help to create a more stable and secure environment.
These are just some of the elements of the United States' national security strategy in the Indo-Pacific region. This strategy is designed to protect American people and interests in the region, and it is constantly evolving to meet the changing challenges of the 21st century.
Here are some specific examples of how the United States is implementing its national security strategy in the Indo-Pacific region:
The United States is working with its allies and partners to strengthen maritime security in the region. This includes increasing cooperation on intelligence sharing, maritime domain awareness, and maritime law enforcement.
The United States is also working to promote economic development in the region. This includes investing in infrastructure, education, and healthcare.
The United States is also working to address the threat of climate change in the region. This includes supporting efforts to reduce greenhouse gas emissions and adapt to the impacts of climate change.
The United States' national security strategy in the Indo-Pacific region is a comprehensive and complex effort. It is designed to protect American people and interests in the region, and it is constantly evolving to meet the changing challenges of the 21st century.
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Current interest rates are is=4%,i=6%. Expected interest rates next year are: is=7% -3%. Expected spot rate in two years is S₂($/€)=1.09. Use the asset market approach to compute the current spot rate So($/€). Please just type in the number without the currency signs. For example, if your answer is $1.25/€, then type in 1.25 as your final answer. Please keep at least 2 decimal numbers (up to 5 decimal numbers).
Answer:
The current spot rate So($/€) is approximately 1.0078.
To compute the current spot rate So($/€) using the asset market approach, we need to consider the expected future spot rate, the interest rate differential, and the expected change in interest rates.
First, let's calculate the expected change in interest rates:
Expected change in interest rates = is - i
= 7% - 3%
= 4%
Next, we need to calculate the interest rate differential:
Interest rate differential = is - i
= 4%
Now, let's calculate the expected future spot rate:
Expected future spot rate = S₂($/€) / (1 + Expected change in interest rates)
= 1.09 / (1 + 4%)
= 1.09 / 1.04
= 1.0481 (rounded to 4 decimal places)
Finally, we can calculate the current spot rate:
Current spot rate So($/€) = Expected future spot rate / (1 + Interest rate differential)
= 1.0481 / (1 + 4%)
= 1.0481 / 1.04
= 1.0078 (rounded to 4 decimal places)
Therefore, the current spot rate So($/€) is approximately 1.0078.
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Explain in your own words what "Liquidity Risk"
is and what its main causes in financial institutions are
Liquidity risk refers to the potential for a financial institution to encounter difficulties in meeting its short-term obligations and funding needs. It arises when an institution lacks sufficient liquid assets or access to funding sources to fulfill its payment obligations promptly.
The main causes of liquidity risk in financial institutions can be attributed to several factors. First, mismatches in the maturity profiles between assets and liabilities can lead to liquidity problems. If a financial institution holds illiquid assets that cannot be easily sold or converted into cash to meet sudden demands, it may face liquidity challenges. Second, a loss of market confidence or a decline in creditworthiness can result in a loss of access to funding sources, making it difficult for the institution to borrow or raise capital. Additionally, external events such as economic downturns, market disruptions, or regulatory changes can impact liquidity conditions and exacerbate liquidity risk.
Overall, liquidity risk poses a significant concern for financial institutions as it can disrupt their operations, impair their ability to meet obligations, and even threaten their solvency. Therefore, effective liquidity management and risk mitigation strategies are crucial to ensure the stability and resilience of financial institutions.
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Janus retires at age 70 with $1,000,000 in her retirement account. If her acccount continues to earn an average of 6% each year, and she expects to live until she is 88 years old, how much can she withdraw from her retirement account each month?
Janus can withdraw approximately $6,126.63 from her retirement account each month to last until she is 88 years old.
To calculate how much Janus can withdraw from her retirement account each month, we can use the formula for calculating the monthly withdrawal amount from a retirement account:
Monthly Withdrawal = Retirement Account Balance * (r / (1 - (1 + r)^(-n)))
Where:
Retirement Account Balance = $1,000,000
r = Monthly interest rate (6% / 12)
n = Number of months (88 years - 70 years) * 12 months per year
Plugging in these values into the formula, we can solve for the monthly withdrawal amount:
Monthly Withdrawal = $1,000,000 * (0.06 / (1 - (1 + 0.06)^(-216)))
Calculating this, the monthly withdrawal amount that Janus can make from her retirement account is approximately $6,126.63.
Therefore, Janus can withdraw approximately $6,126.63 from her retirement account each month to last until she is 88 years old.
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T and M own a property as joint tenants. M sells Ms interest to
K. K and Ts interests are defined as?
A) Joint tenancy
B) tenancy in common
C ) tenancy by the entirety
D ) tenancy in severalty
T and M own a property as joint tenants. When M sells their interest to K, the interests of K and T are defined as "tenancy in common." So, the correct option is B.
In a tenancy in common, each owner has a distinct and separate share of the property. Unlike joint tenancy, there is no right of survivorship in tenancy in common. This means that if one owner passes away, their share will not automatically transfer to the other owner. Instead, it will be passed on according to their will or the laws of inheritance.
Tenancy by the entirety, on the other hand, is a form of ownership available only to married couples and is not applicable in this scenario. Tenancy in severalty refers to sole ownership of the property by a single person, so it is also not applicable here. Hence, the correct option is B) tenancy in common
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You are forming a portfolio using the overall stock market and T-Bills. The expected return for the stock market and T-Bill are 12.2% and 3.9%, respectively. If you want an expected return of 6.9% for your portfolio, what weight should you assign to the overall stock market? Enter your answer as a decimal and show 4 decimal places.
To achieve an expected return of 6.9% for your portfolio, you should assign a weight of 0.5000 to the overall stock market.
The weight assigned to an investment represents the proportion of the total portfolio that is allocated to that investment. In this case, we are given the expected return for the stock market (12.2%) and T-Bills (3.9%). We need to determine the weight for the stock market that will result in an expected return of 6.9% for the portfolio.
Let's assume the weight assigned to the stock market is represented by "w". The weight assigned to T-Bills would then be (1 - w), as the weights must add up to 1.
The expected return of the portfolio can be calculated using the weighted average formula: Expected Return = (Weight of Stock Market * Expected Return of Stock Market) + (Weight of T-Bills * Expected Return of T-Bills)
Substituting the given values, we have: 6.9% = (w * 12.2%) + ((1 - w) * 3.9%)
Solving this equation, we find that w ≈ 0.5000, which means you should assign a weight of 0.5000 (or 50%) to the overall stock market in order to achieve an expected return of 6.9% for your portfolio.
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Consider the following price data for TanCo stock in two different subperiods:
Subperiod A: 168.115; 162.770; 162.310; 161.565; 160.855; 157.600; 157.150; 157.630; 161.265; 162.590; 157.370; 156.590; 157.750; 155.550; 150.580; 155.830; 154.270; 155.735; 156.080; 152.610; 150.440; 150.605
Subperiod B: 122.635; 124.730; 121.730; 120.870; 119.595; 118.450; 117.585; 119.340; 122.310; 121.670; 120.090; 117.725; 118.445; 115.540; 117.670; 117.830; 118.860; 117.805; 114.845; 110.715
For each subperiod, calculate the annualized historical measure of stock volatility that could be used in pricing an option for TanCo. In your calculations, you may assume that there are 250 trading days in a year. Do not round intermediate calculations. Round your answers to four decimal places.
Period A:
Period B:
Suppose now that you decide to gather additional data for each subperiod. Specifically, you obtain information for a call option with a current price of $12.65 and the following characteristics: X = 111; S = 121.725; time to expiration = 62 days; RFR = 6.92%; and dividend yield = 3.95%. Here the risk-free rate and dividend yields are stated on an annual basis. Use the volatility measure from Subperiod B and the Black-Scholes model to obtain the "fair value" for this call option. Based on your calculations, is the option currently priced as it should be? Assume 365 days in a year. You may use Appendix D to answer the question. Do not round intermediate calculations. Round your answer to the nearest cent.
$
The market price of $12.65 is -Select- than the calculated BS price. This implies that if all of the other parameters of the model are correct, the implied BS volatility is -Select- than the historical volatility.
Your options are higher or lower where it says select
I give thumbs up!
period A, we first calculate the daily returns (R) for the given data:$$R_t = \frac{\ln(P_t)-\ln(P_{t-1})}{P_{t-1}}$$where $P_t$ is the stock price at time $t$.
Therefore,$$\ begin{aligned} R_1 &= \frac{\ln (168.115)-\ln(150.605)}{150.605}=0.1113 \\ R_2 &= \frac{\ln(162.77)-\ln(168.115)}{168.115}=-0.0318 \\ R_3 &= \frac{\ln(162.31)-\ln(162.77)}{162.77}=-0.0028 \\ \vdots \\ R_{21} &= \frac{\ln(150.605)-\ln(150.44)}{150.44}=0.0011 \end{aligned}$$ The standard deviation of the daily returns is given by:$$\sigma = \sqrt{\frac{\sum_{t=1}^{21} (R_t-\bar{R})^2}{20}}$$where $\bar{R}$ is the mean of the daily returns. Thus, $\bar{R} = 0.000586$ and$$\begin{aligned} \sigma &= \sqrt{\frac{(0.1113 - 0.000586)^2 + (-0.0318 - 0.000586)^2 + (-0.0028 - 0.000586)^2 + \cdots + (0.0011 - 0.000586)^2}{20}} \\ &= 0.0527 \ end{aligned}$$The annualized historical measure of stock volatility is thus:$$\sigma_{annual} = \sigma \sqrt{250} = 0.0527 \times \sqrt{250} = 0.8353$$Period B:For period B, we can use a similar approach.
The daily returns are given by:$$\ begin{aligned} R_1 &= \frac{\ln(122.635)-\ln(110.715)} {110.715}=0.1077 \\ R_2 &= \frac{\ln(124.73)-\ln(122.635)}{122.635}=0.0171 \\ R_3 &= \frac{\ln(121.73)-\ln(124.73)}{124.73}=-0.024 \vdots \\ R_{20} &= \frac{\ln(110.715)-\ln(110.715)}{119.595}=0 \end{aligned}$$Thus, $\bar{R} = 0.0026875$ and$$\ begin{aligned} \sigma &= \sqrt{\frac{(0.1077 - 0.0026875)^2 + (0.0171 - 0.0026875)^2 + (-0.024 - 0.0026875)^2 + \cdots + (0 - 0.0026875)^2}{19}} \\ &= 0.03366 \end{aligned}$$The annualized historical measure of stock volatility is therefore:$$\sigma_{annual} = \sigma \sqrt{250} = 0.03366 \times \sqrt{250} = 0.5325$$Using the Black-Scholes formula, the call option price is given by:$$C = S_0N(d_1)-Xe^{-rT}N(d_2)$$where$$d_1 = \frac{\ln\left(\frac{S_0}{X}\right) + \left(r+\frac{\sigma^2}{2}\right)T}{\sigma\sqrt{T}}$$$$d_2 = d_1 - \sigma\sqrt{T}$$$$T = \frac{62}{365}$$$$S_0 = 121.725$$$$X = 111$$$$r = 0.0692$$$$\sigma = 0.5325$$ Substituting the given values.
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American Express Inc. had earnings per share of $5.33. It is expected to pay a dividend of $2.04 per share and the stock price is $58. What is its dividend yield?
Dividend yield is the return on investment for a stock in terms of dividends per share. It can be calculated by dividing the annual dividend by the current stock price. The dividend yield formula is given below.
Dividend Yield = Annual Dividend per Share / Stock Price per ShareThe given values are:
Earnings per Share = $5.33Dividend per Share
= $2.04Stock Price
= $58Dividend Yield
= Annual Dividend per Share / Stock Price per ShareThe annual dividend per share can be calculated by multiplying the dividend per share with the number of shares outstanding. However, the number of shares outstanding is not given in the problem. Hence, we cannot calculate the annual dividend per share.
Let us find an alternative method to calculate the dividend yield. We know that earnings per share (EPS) is calculated by dividing the net income of the company by the number of shares outstanding. EPS = Net Income / Number of Shares OutstandingNumber of Shares Outstanding = Net Income / EPSNumber of Shares Outstanding
= $5.33 / Number of Shares OutstandingNow, the total dividend paid by the company can be calculated by multiplying the dividend per share with the number of shares outstanding.Total Dividend = Dividend per Share × Number of Shares OutstandingTotal Dividend
= $2.04 × Number of Shares OutstandingDividend Yield
= Annual Dividend per Share / Stock Price per ShareWe can rewrite the dividend yield formula by substituting the annual dividend per share with the total dividend and number of shares outstanding.Dividend Yield = (Total Dividend / Number of Shares Outstanding) / Stock Price per ShareDividend Yield = (2.04 × Number of Shares Outstanding) / (Number of Shares Outstanding × $58)Dividend Yield = 2.04 / $58Dividend Yield
= 0.0352 or 3.52%Therefore, the dividend yield for American Express Inc. is 3.52%.
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Spherical Manufacturing recently spent $18 million to purchase some equipment used in the manufacture of disk drives. This equipment has a CCA rate of 25% and Spherical's marginal corporate tax rate is 32%. a. What are the annual CCA deductions associated with this equipment for the first five years? b. What are the annual CCA tax shields for the first five years? c. What is the present value of the first five CCA tax shields if the appropriate discount rate is 8% per year? d. What is the present value of all the CCA tax shields assuming the equiment is never sold and the appropriate discount rate is 8% per year? e. How might your answer to part (d) change if Spherical anticipates that its marginal corporate tax rate will increase substantially over the next five years?
Spherical Manufacturing's equipment has an annual CCA deduction of $4.5 million for the first five years, resulting in CCA tax shields of $1.44 million per year. The present value of the tax shields is calculated using a discount rate of 8%. Assuming no sale of equipment, the present value of all tax shields is $18 million. Anticipated increases in the marginal corporate tax rate would likely lead to higher present values.
a. The annual CCA deductions for the first five years can be calculated by multiplying the CCA rate (25%) by the initial cost of the equipment ($18 million).
Year 1: $18 million x 25% = $4.5 million
Year 2: $18 million x 25% = $4.5 million
Year 3: $18 million x 25% = $4.5 million
Year 4: $18 million x 25% = $4.5 million
Year 5: $18 million x 25% = $4.5 million
b. The annual CCA tax shields represent the tax savings resulting from the CCA deductions. To calculate them, multiply the CCA deductions by the marginal corporate tax rate (32%).
Year 1: $4.5 million x 32% = $1.44 million
Year 2: $4.5 million x 32% = $1.44 million
Year 3: $4.5 million x 32% = $1.44 million
Year 4: $4.5 million x 32% = $1.44 million
Year 5: $4.5 million x 32% = $1.44 million
c. The present value of the first five CCA tax shields can be calculated by discounting each year's tax shield at the appropriate discount rate (8%) and summing them up.
PV = ($1.44 million / (1 + 8%)^1) + ($1.44 million / (1 + 8%)^2) + ($1.44 million / (1 + 8%)^3) + ($1.44 million / (1 + 8%)^4) + ($1.44 million / (1 + 8%)^5)
d. To calculate the present value of all the CCA tax shields assuming the equipment is never sold, you would use the perpetuity formula:
PV = (Annual tax shield / Discount rate)
PV = ($1.44 million / 8%) = $18 million
e. If Spherical anticipates that its marginal corporate tax rate will increase substantially over the next five years, the present value of the CCA tax shields would likely increase. This is because higher tax rates result in higher tax savings, leading to larger present values.
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