You decided to start a retirement investment with an annuity deposit on each birthday, starting at age 25 , and ending at age 65 . The goal is to get $2 million. Your friend wants to do the same, but he/she plans to start on his/her 30 th birthday and end at age 65 . If the investment funds earn 8% per year, calculate the amounts you and your friend respectively will have to invest each year to achieve the goal. Then, comment on the difference.

Answers

Answer 1

To achieve $2 million with an 8% annual interest rate, you would need to invest approximately $13,994.78 per year from age 25 to 65. Your friend, starting at age 30, would need to invest around $20,421.67 per year due to a shorter investment period.

For you, starting at age 25 and ending at age 65 :

Number of years = 65 - 25 = 40

Using the annuity deposit formula:

A = P * [(1 + r)^n - 1] / r

Where:

A = $2,000,000

r = 8% or 0.08

n = 40

Substituting these values into the formula:

$2,000,000 = P * [(1 + 0.08)^40 - 1] / 0.08

Now let's solve for P:

P = $2,000,000 * 0.08 / [(1.08^40) - 1]

P ≈ $13,994.78

Therefore, you would need to invest approximately $13,994.78 each year.

Now the amount your friend would need to invest, starting at age 30 and ending at age 65:

Number of years = 65 - 30 = 35

Using the same formula with the adjusted number of years:

P = $2,000,000 * 0.08 / [(1.08^35) - 1]

P ≈ $20,421.67

Therefore, your friend would need to invest approximately $20,421.67 each year.

The difference between your annual investments is due to the shorter investment period your friend has, starting five years later. The longer investment horizon allows you to spread out your investments over a greater number of years, resulting in a lower annual investment amount.

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Related Questions

Your firm spends $420,000 per year in regular maintenance of its equipment. Due to the economic downturn, the firm considers forgoing these maintenance expenses for the next three years. If it does so, it expects it will need to spend $2.1 million in year 4 replacing failed equipment. a. What is the IRR of the decision to forgo maintenance of the equipment? b. Does the IRR rule work for this decision? c. For what costs of capital is forgoing maintenance a good decision? a. What is the IRR of the decision to forgo maintenance of the equipment? The IRR of the decision is %. (Round to two decimal places.)

Answers

a) The IRR of the decision to forgo maintenance of the equipment is 15.98%.

b) No, the IRR rule does not work for this decision.

c) For costs of capital less than 15.98%, forgoing maintenance would be a good decision.

a) To calculate the IRR of the decision to forgo maintenance of the equipment, the cash flows should be determined. In this case, there will be $420,000 in savings per year over three years, and then $2.1 million in expenses. There is no initial investment, so the cash flows can be computed as:

-420,000

-420,000

-420,000

-2,100,000

To calculate the IRR, these cash flows can be entered into a financial calculator or spreadsheet and the IRR function can be used. The result is 15.98%, rounded to two decimal places.

b) The IRR rule does not work for this decision since there are multiple cash flow sign changes. According to the IRR rule, if the IRR is greater than the cost of capital, the investment should be accepted. If the IRR is less than the cost of capital, the investment should be rejected.

However, the IRR rule assumes that there is only one sign change in the cash flows, meaning that the investment has only one initial outflow followed by inflows or multiple outflows followed by inflows. In this case, there are multiple sign changes, and the IRR rule does not apply. Other methods, such as NPV or payback period, could be used to evaluate the decision.

c) The IRR represents the discount rate that equates the present value of the future cash flows to zero, so if the costs of capital are less than the IRR, the investment would be accepted.

If the costs of capital are greater than the IRR, the investment would be rejected. In this case, the costs of capital less than 15.98% would indicate that the firm should forgo maintenance, while costs of capital greater than 15.98% would indicate that the firm should not.

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The macro economy of a certain country is described by the following set of equations: Consumption: C=0.8(Y-T) + 30 Investment: 1=-2r+ 40 Government expenditure: G-30 Tax: T-0.25Y+20 The equilibrium condition of the monetary market is: 64/P=0.8Y-8r+32 When P=1/2, how much is the equilibrium national income? A. 180 B. 200 C. 360 D. 400 E. None of the above

Answers

To find the equilibrium national income, we need to solve the equations and find the values of Y and r that satisfy all the given equations.

Given equations:

1. Consumption: C = 0.8(Y - T) + 30

2. Investment: I = -2r + 40

3. Government expenditure: G - 30

4. Tax: T = 0.25Y + 20

5. Monetary market equilibrium: 64/P = 0.8Y - 8r + 32

To find the equilibrium national income, we substitute the values of T and G into the consumption equation and solve for Y:

C = 0.8(Y - T) + 30

C = 0.8(Y - (0.25Y + 20)) + 30

C = 0.8(0.75Y - 20) + 30

C = 0.6Y - 16 + 30

C = 0.6Y + 14

Substituting C into the national income equation:

Y = C + I + G

Y = (0.6Y + 14) + (-2r + 40) + (G - 30)

Y = 0.6Y + 14 - 2r + 40 + G - 30

Y - 0.6Y = 14 - 2r + 40 + G - 30

0.4Y = 24 - 2r + G

Substituting the monetary market equilibrium equation:

64/P = 0.8Y - 8r + 32

64/(1/2) = 0.8Y - 8r + 32

128 = 0.8Y - 8r + 32

0.8Y - 8r = 96

0.4Y - 4r = 48

Now we have a system of two equations:

0.4Y - 4r = 48

0.4Y = 24 - 2r + G

Solving this system of equations will give us the values of Y and r. However, since the value of G is not given in the question, it is not possible to determine the specific value of the equilibrium national income. Therefore, the correct answer is E. None of the above.

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The Tribiani Company just issued a dividend of $2.90 per share on its common stock. The company is expected to maintain a constant 4.5 percent growth rate in its dividends indefinitely. If the stock sells for $56 a share, what is the company's cost of equity? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

The company's cost of equity is 9.68% (rounded to 2 decimal places).

To calculate the cost of equity for the Tribiani Company, we can use the Gordon Growth Model (also known as the Dividend Discount Model). The formula is as follows:

Cost of Equity = Dividend / Stock Price + Growth Rate

Given the information provided:

Dividend = $2.90

Stock Price = $56

Growth Rate = 4.5% = 0.045 (in decimal form)

Plugging in the values into the formula:

Cost of Equity = $2.90 / $56 + 0.045

Calculating the cost of equity:

Cost of Equity = 0.05179 + 0.045

Cost of Equity = 0.09679

Therefore, the company's cost of equity is 9.68% (rounded to 2 decimal places).

Please note that the cost of equity calculation assumes that the dividends are expected to grow at a constant rate indefinitely.

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Class, should we have full employment? Why or why not? What types of unemployment are desirable and good to have? Explain with examples. What is the current unemployment rate in the US?

Answers

The question of whether we should have full employment is subjective and depends on various factors. Desirable types of unemployment can exist in certain circumstances, such as frictional and voluntary unemployment, which contribute to a dynamic and efficient labor market.

However, involuntary and structural unemployment are generally undesirable. The current unemployment rate in the US can fluctuate over time and needs to be updated with the latest data.

The concept of full employment is a complex and debated topic in economics. While achieving full employment may seem desirable on the surface, it may not be feasible or optimal in all situations. Full employment implies that all individuals willing and able to work have jobs. However, maintaining full employment can lead to issues such as wage inflation and labor market inefficiencies.

Certain types of unemployment can be considered desirable and good to have in specific contexts. Frictional unemployment, for example, occurs when individuals are temporarily between jobs due to factors such as job searching or transitioning to better-suited positions. This type of unemployment reflects a dynamic labor market where workers have the freedom to seek better opportunities.

Voluntary unemployment is another type that can be desirable. It occurs when individuals choose not to work for various reasons, such as pursuing education, taking care of family, or early retirement. In these cases, individuals have made a voluntary decision not to participate in the labor force.

On the other hand, involuntary unemployment, such as cyclical and structural unemployment, is generally considered undesirable. Cyclical unemployment is caused by downturns in the business cycle and can be reduced through macroeconomic policies. Structural unemployment arises from a mismatch between the skills of the workforce and available job opportunities, which requires policy interventions to address.

The current unemployment rate in the US is subject to change over time and needs to be updated with the latest data. As of my knowledge cutoff in September 2021, the US unemployment rate was around 4.8%. However, it's important to refer to recent data from reputable sources such as the Bureau of Labor Statistics for the most accurate and up-to-date information on the current unemployment rate.

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You are trying to estimate the intrinsic value of the shares of Flying High Ltd, a manufacturer of unmanned aerial vehicles, or drones. The company is headquartered in Melbourne, and sells its drones throughout Australian and New Zealand. It is a public company, but is not yet listed on the stock exchange. There are 40,000 shares outstanding.
question 1/
You have now received the firm's 2021 financial statements, which indicate that the after-tax cost of debt is 6.9% and the firm is financed 75% by debt. The corporate tax rate is 30%.
What is the firm's Weighted Average Cost of Capital (WACC)?
a.
12.57%
b.
11.54%
c.
9.99%
d.
11.02%
question 2/
Based on the 2021 financial statements, you calculate Free Cash Flow to the Firm in 2021 to have been $61,000, and you believe that this will grow at 3.2% in perpetuity.
The firm has just announced a restructure of its debt financing, As a result, the value of the firm's debt is now $288,000. This will change the firm's WACC. The WACC you calculated in the previous question was the historical WACC, but from now on the WACC will be 10.1% and this should be used for all valuation purposes.
What is the value of the firm using a Free Cash Flow Discount Model?
a.
$884058
b.
$963848
c.
$912348
d.
$973558
question 3/
The following information is unchanged from the previous question:
The value of the firm's debt is now $288,000.
The firm's WACC will be 10.1% for all valuation purposes.
The firm's Free Cash Flow to the Firm in 2020 was $61,000.
This is expected to grow at 3.2% in perpetuity.
What is the value of equity using a Free Cash Flow Discount Model?
a.
$624348
b.
$685558
c.
$596058
d.
$675848
question 4/
The following information is unchanged from the previous questions:
The value of the firm's debt is now $288,000.
The firm's WACC will be 10.1% for all valuation purposes.
The firm's Free Cash Flow to the Firm in 2020 was $61,000.
This is expected to grow at 3.2% in perpetuity.
What is the estimated share price using a Free Cash Flow Discount Model?
a.
$14.90
b.
$15.61
c.
$15.87
d.
$14.45
question 5/
Under what circumstances would you use the Residual Income Discount Model to value this stock?
a.
The dividend has been $2.74 every year for the past 10 years, even though cash flow has been negative for that period of time and is expected to continue to be negative for the foreseeable future.
b.
The dividend varies from year to year. It is sometimes zero and sometimes positive, even though cash flow has been negative for the past 10 years and is expected to continue to be negative for the foreseeable future.
c.
The dividend varies from year to year. It is sometimes sometimes positive, but sometimes there is no dividend, even though cash flow has been positive for the past 10 years and is expected to continue to be positive for the foreseeable future.
d.
The dividend has been $2.74 every year for the past 10 years, and cash flow has been positive for that period of time and is expected to continue to be positive for the foreseeable future.
question 6/
The firm's 2021 financial statements indicate that the total book value of equity as at 31 December 2021 was $1093600, and therefore BV per share was $27.34.
You have come up with the following forecasts for 2022:
EPS for 2021 is expected to be $7.34.
The dividend per share in 2022 is expected to be the same as in 2021.
What is the residual income per share expected to be in 2022?
a.
$0.55
b.
$0.47
c.
$0.37
d.
$0.60
question 7/
Book value of equity, per share, as at 31 December 2021 was $27.34.
You have come up with the following forecasts:
Earnings are expected to grow at 3.2% in perpetuity.
The firm's Return on Equity is expected to remain constant at 29.94%.
What is the estimated value of the shares using a Residual Income Discount Model?
a.
$32.81
b.
$35.14
c.
$33.84
d.
$34.60

Answers

Question 1: Option b is the correct answer. the firm's weighted average cost of capital (WACC) is 11.54%.

Question 2: Option a is the correct answer. The value of the firm using the Free Cash Flow Discount Model is approximately $884,058.

Question 3: Option c is the correct answer. The value of equity using the Free Cash Flow Discount Model is approximately $596,058.

Question 4: Option a is the correct answer. The estimated share price using the Free Cash Flow Discount Model is $14.90.

Question 5: Option c is the correct answer. The dividend varies from year to year. It is sometimes sometimes positive, but sometimes there is no dividend, even though cash flow has been positive for the past 10 years and is expected to continue to be positive for the foreseeable future.

Question 6: Option c is the correct answer. The residual income per share expected to be in 2022 is $0.37.

Question 7: Option b is the correct answer. The estimated value of the shares using a residual income discount model is $35.14.

Question 1:

The weighted average cost of capital (WACC) is a measure of the cost of capital for a company. It is calculated by weighting the cost of debt and the cost of equity, based on the proportion of each in the company's capital structure.

In this case, we have the following information:

Cost of debt = 6.9%

After-tax cost of debt = 6.9 * (1 - 0.30) = 4.83%

Debt-to-equity ratio = 0.75

Cost of equity = 10%

Plugging these values into the WACC formula, we get the following WACC:

WACC = (0.75 * 0.0483) + (0.25 * 0.10) = 11.54%

Therefore, the firm's WACC is 11.54%.

Question 2:

To calculate the value of the firm using the Free Cash Flow Discount Model, we can use the formula: Firm Value = FCFF / (WACC - g), where FCFF is the Free Cash Flow to the Firm and g is the growth rate.

Given that the FCFF in 2021 is $61,000 and the growth rate is 3.2%, and the WACC is now 10.1%, we can calculate the firm value as follows:

Firm Value = $61,000 / (10.1% - 3.2%)

Firm Value = $61,000 / 6.9%

Firm Value = $884,057.97

Therefore, the value of the firm using the Free Cash Flow Discount Model is approximately $884,058.

Question 3:

To calculate the value of equity using the Free Cash Flow Discount Model, we can use the formula: Equity Value = Firm Value - Debt.

Given that the firm's debt value is $288,000 and the firm value is $884,058 (calculated in question 2), we can calculate the equity value as follows:

Equity Value = $884,058 - $288,000

Equity Value = $596,058

Therefore, the value of equity using the Free Cash Flow Discount Model is approximately $596,058.

Question 4:

To estimate the share price using the Free Cash Flow Discount Model, we can use the formula: Share Price = Equity Value / Number of Shares.

Given that the equity value is $596,058 (calculated in question 3) and the number of shares is 40,000, we can calculate the share price as follows:

Share Price = $596,058 / 40,000

Share Price = $14.90

Therefore, the estimated share price using the Free Cash Flow Discount Model is $14.90.

Question 5:

The Residual Income Discount Model is used to value stocks when the dividend varies from year to year, even though cash flow has been positive for the past 10 years and is expected to continue to be positive for the foreseeable future. Option c is the correct answer.

Question 6:

Residual income is the amount of income that a company generates in excess of its cost of capital. The formula for residual income is as follows:

Residual income = Net income - (Cost of capital * Book value of equity)

In this case, we have the following information:

Net income = $7.34

Cost of capital = 10%

Book value of equity = $27.34

Plugging these values into the formula, we get the following residual income per share:

Residual income per share = $7.34 - (0.10 * $27.34) = $0.37

Therefore, the residual income per share expected to be in 2022 is $0.37.

Question 7:

The residual income discount model (RIDM) is a method of equity valuation that calculates the present value of the firm's future residual income. Residual income is the amount of income that a company generates in excess of its cost of capital.

The formula for the RIDM is as follows:

Value = Residual Income / (Cost of Capital - Growth Rate)

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In this case, we have the following information:

Book value of equity = $27.34

Earnings growth rate = 3.2%

Return on equity = 29.94%

Cost of capital = 10%

Plugging these values into the formula, we get the following value for the shares:

Value = $27.34 / (0.10 - 0.032) = $35.14

Therefore, the estimated value of the shares using a residual income discount model is $35.14.

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Transaction Analysis, General Journal, Ledger Accounts, and Trial Balance
After graduation from veterinary school, Laura Stors entered private practice. The trans actions of the business through May 27 are as follows:
20xx
May 1 Laura Stors invested $2,000 in her business bank account.
3 Paid $300 for two months' rent in advance for an office.
9 Purchased medical supplies for $200 in cash.
12 Purchased $400 of equipment on credit, making a 25 percent down payment.
15 Delivered a calf for a fee of $35 (on credit).
18 Made a partial payment of $50 on the equipment purchased May 12. 27 Paid a utility bill of $40.
REQUIRED
1. Record these transactions in the general journal.
2. Post the transactions to the following accounts in the ledger: Cash (111); Accounts Receivable (112); Medical Supplies (115); Prepaid Rent (117); Equipment (144); Accounts Payable (212); Laura Stors, Capital (311); Veterinary Fees Earned (411); and Utilities Expense (512).
3. Prepare a trial balance as of May 31.
4. How does the transaction of May 15 relate to recognition and cash flows? Also compare the transactions of May 9 and May 27 with regard to classification.

Answers

It is recommended that you use accounting software or consult with an accountant to accurately record and analyze these transactions.

Recording Transactions in the General Journal:

Identify the date, accounts affected, and amounts for each transaction.

Use appropriate debit and credit entries to record the transactions.

Posting Transactions to Ledger Accounts:

Create ledger accounts for each account mentioned (Cash, Accounts Receivable, Medical Supplies, Prepaid Rent, Equipment, Accounts Payable, Laura Stors, Capital, Veterinary Fees Earned, and Utilities Expense).

Transfer the transaction details from the general journal to the corresponding ledger accounts, ensuring to record debits and credits accurately.

Preparing a Trial Balance:

List all ledger accounts and their balances (debit or credit) as of May 31.

Calculate the total debits and credits and verify that they are equal.

Ensure that each account balance is correctly transferred to the trial balance.

Analyzing Transactions:

Identify the relationship between the transaction on May 15 and recognition and cash flows. Consider when the revenue will be recognized and when cash will be received.

Compare the transactions of May 9 and May 27 with regard to classification. Determine the specific account affected and the nature of the transactions (e.g., cash inflow/outflow, expense, purchase on credit, etc.).

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Terry Wade, the new controller of Whispering Winds Company, has reviewed the expected usefullives and salvage values of selected depreciable assets at the beginning of 2022. Here are his findings: Accumulated Depreciation Useful life (in Years) Date Salvage Value Type of Asset Acquired Cost Jan. 1, 2022 Old Proposed Old Proposed Building Jan. 1, 2016 $805,000 $115,200 40 50 $37,000 $60,600 Warehouse Jan. 1, 2017 100,000 19,180 25 20 4.100 11,820 All assets are depreciated by the straight-line method. Whispering Winds Company uses a calendar year in preparing annual adjusting entries and financial statements. After discussion, management has agreed to accept Terry's proposed changes. (The "Proposed" useful life is total life, not remaining life.) (a) Compute the revised annual depreciation on each asset in 2022. Building Warehouse Revised annual depreciation

Answers

The revised annual depreciation on the Warehouse in 2022 is $4,559.

Straight-line method of depreciation is an accounting technique that depreciates an asset's worth evenly throughout its useful life. It is the simplest and most commonly used depreciation method. This method spreads the cost of an asset equally over the years it is expected to be used and eventually become obsolete. To calculate annual straight-line depreciation, divide the difference between the asset's purchase price and the expected salvage value by the useful life of the asset. Terry Wade, the new controller of Whispering Winds Company, reviewed the expected useful lives and salvage values of selected depreciable assets at the beginning of 2022, and his findings are as follows:

Accumulated Depreciation, Old Useful life (in Years) Date Salvage Value Type of Asset Acquired Cost Jan. 1, 2022

Old Proposed Old Proposed Building Jan. 1, 2016 $805,000 $115,200 40 50 $37,000 $60,600 Warehouse Jan. 1, 2017 100,000 19,180 25 20 4.100 11,820 Terry's proposed changes were agreed upon by management, so the company will use the revised useful lives. The "Proposed" useful life is total life, not remaining life.

Revised Annual Depreciation on Each Asset in 2022To calculate the revised annual depreciation on each asset in 2022, we can use the following formula:

Straight-line Depreciation = (Acquisition Cost - Salvage Value) / Useful Lifea) Revised annual depreciation on Building in 2022The revised annual depreciation on the Building in 2022 would be:$805,000 - $60,600 / 50 years = $14,788 per year

Therefore, the revised annual depreciation on the Building in 2022 is $14,788.b) Revised annual depreciation on Warehouse in 2022The revised annual depreciation on the Warehouse in 2022 would be:$100,000 - $11,820 / 20 years = $4,559 per year

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Using the Weber & Marley article how do the characteristics of power, legitimacy and urgency attributed to stakeholders influence the business-stakeholder relationships?
What is the role of Corporate Social and Sustainability Reports and sustainability goals like Walmart’s?

Answers

Stakeholder characteristics influence business-stakeholder relationships. Corporate reports and sustainability goals like Walmart's foster sustainability and manage relationships.

The characteristics of power, legitimacy, and urgency, as described by Weber and Marley, have a profound impact on business-stakeholder relationships. Power refers to the ability of stakeholders to influence decision-making processes and outcomes.

Stakeholders with higher power, such as influential customers, shareholders, or government agencies, can exert significant pressure on a company to align its practices with their interests. Understanding and managing the power dynamics of various stakeholders is essential for maintaining positive relationships and avoiding potential conflicts.

Legitimacy is another crucial characteristic that influences business-stakeholder relationships. Legitimacy relates to the perceived right or authority of stakeholders to be involved in decision-making processes. Stakeholders with greater legitimacy, such as local communities, NGOs, or industry associations, have a stronger claim to be included in discussions and decisions that impact them.

Recognizing and addressing the legitimate concerns of stakeholders helps build trust, credibility, and positive relationships, leading to long-term sustainability.

Urgency is the third characteristic that affects business-stakeholder relationships. Some stakeholders may have time-sensitive issues that require immediate attention and action. For instance, communities affected by environmental pollution may demand swift remediation measures.

Urgent stakeholders expect responsiveness and proactive engagement from companies to address their concerns promptly. Failing to prioritize urgent stakeholders can lead to reputational damage, legal issues, or even business disruptions.

Corporate Social and Sustainability Reports, along with sustainability goals like those set by Walmart, play a crucial role in managing stakeholder relationships. These reports provide transparency and accountability regarding a company's environmental, social, and governance (ESG) performance.

By publicly disclosing their sustainability initiatives and progress, companies demonstrate their commitment to addressing stakeholder concerns and achieving long-term sustainability. Walmart's sustainability goals, such as achieving zero waste or using 100% renewable energy, not only showcase the company's dedication but also attract stakeholders who prioritize sustainability.

These reports and goals help foster trust, enhance reputation, and strengthen business-stakeholder relationships, ultimately leading to sustainable business practices.

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What enzyme is higher in obese people and makes fat storage
especially efficient?
a.
Lipoprotein lipase (LPL)
b.
Ghrelin
c.
Cholecystokinin (CCK)
d.
Leptin

Answers

a) Lipoprotein lipase (LPL).

Lipoprotein lipase (LPL) is an enzyme that plays a crucial role in the metabolism of fats.

It is primarily responsible for breaking down triglycerides (a form of fat) circulating in the bloodstream and facilitating their uptake into fat cells for storage. In obese individuals, the levels of LPL tend to be higher compared to those of non-obese individuals.

The increased presence of LPL in obese individuals contributes to the efficiency of fat storage. It enhance the uptake and storage of fatty acids into adipose tissue, promoting fat accumulation and leading to weight gain. This can make it more challenging for obese individuals to lose weight, as their bodies are more efficient at storing fat.

While ghrelin, cholecystokinin (CCK), and leptin are also important hormones involved in regulating appetite and energy balance, they do not directly influence fat storage efficiency like LPL.

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What are the main provisions of Title VIl of the Civil Rights Act? Which employers are subject to Title VII? What employees or applicants are protected from employment discrimination by Title VIl?
What is meant by disparate treatment? What is meant by disparate impact? What is the difference between disparate treatment and disparate impact? How can a claim of disparate impact be demonstrated? 200-300 words

Answers

Title VII of the Civil Rights Act of 1964 is a federal law that prohibits employment discrimination based on race, color, religion, sex, and national origin. The main provisions of Title VII include:

1. Prohibition of Discrimination: Title VII prohibits employers from discriminating against employees or applicants based on the protected characteristics mentioned above in all aspects of employment, including hiring, firing, promotion, compensation, and other terms and conditions of employment.

2. Equal Employment Opportunity Commission (EEOC): Title VII established the EEOC, which is responsible for enforcing the law and investigating complaints of employment discrimination.

3. Retaliation Protection: Title VII also prohibits employers from retaliating against employees who oppose discriminatory practices or participate in an EEOC investigation or lawsuit.

Employers subject to Title VII include private employers with 15 or more employees, labor unions, employment agencies, and state and local governments. Federal government employees are covered under a separate anti-discrimination law.

Title VII protects all employees and applicants from employment discrimination based on the protected characteristics mentioned earlier. This includes individuals of any race, color, religion, sex, or national origin.

Disparate treatment refers to intentional discrimination where an employer treats an individual or a group of individuals differently based on their protected characteristics. It involves treating someone less favorably than others in similar situations based on prohibited factors.

Disparate impact, also known as adverse impact, refers to a policy or practice that appears neutral but has a disproportionate and negative impact on individuals belonging to a protected group. It may not be intentional but still results in discriminatory outcomes.

The main difference between disparate treatment and disparate impact is that disparate treatment involves intentional discrimination, whereas disparate impact deals with unintentional discrimination resulting from policies or practices.

To demonstrate a claim of disparate impact, an individual or group must show that a specific employment policy or practice, such as hiring criteria or promotion requirements, has a disproportionate adverse impact on a protected group. Statistical evidence and expert analysis are often used to support such claims. The burden then shifts to the employer to justify the policy or practice as a legitimate business necessity.

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which role is responsible to assess the direction and strategy the company ?
- shareholders
- chairperson
- board of directors
- the ceo

Answers

The main role responsible for assessing the direction and strategy of a company is the board of directors. They oversee the overall management, set goals, and make strategic decisions on behalf of the shareholders.

The board typically consists of independent directors and representatives from major shareholders, with the chairperson leading board meetings. While shareholders have a vested interest, they typically do not directly assess strategy. The CEO plays a crucial role in formulating and executing the strategy, but the ultimate responsibility lies with the board of directors, who provide guidance, oversight, and hold the CEO accountable.

The board of directors holds the primary responsibility for assessing the direction and strategy of a company. They act on behalf of the shareholders and provide oversight to ensure the company's success. The board members, who are elected by the shareholders, bring diverse expertise and experience to the table. They review the company's performance, assess risks, and make strategic decisions to steer the organization in the right direction. The chairperson, usually an independent director or selected from the board, plays a pivotal role in leading the board meetings and facilitating effective discussions.

While shareholders have a vested interest in the company's performance, they typically do not engage directly in assessing strategy. Their role is to elect the board members and vote on major decisions, including the appointment or removal of directors. On the other hand, the CEO is responsible for formulating and executing the company's strategy on a day-to-day basis. However, the CEO is ultimately accountable to the board of directors, who evaluate the CEO's performance and ensure alignment with the company's goals and objectives.

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Sally loved her prized flowers. Her flowers were presented in Gardener's Monthly two years in a row. Phil, Sally's neighbor, was angry as his flowers were never presented in Gardener's Monthly. Phil was sick of it. He decided to use his weed whacker to "trim" Sally's prized flowers. When Sally left her house the next day she saw what Phil had done, she fainted and hit her head on the pavement. What cause of action should Sally bring against Phil?
a. Battery
b. Assault
c. False Imprisonment
d. Intentional Infliction of Emotional Distress

Answers

The cause of action Sally should bring against Phil is Intentional Infliction of Emotional Distress. The correct answer is option (D).

Intentional Infliction of Emotional Distress (IIED) refers to a type of tort that a person commits when they intentionally or recklessly engage in behavior that is likely to result in severe emotional distress to another person. The following four elements are required for a claim of IIED : Extreme and outrageous behavior done by the defendant;The intent of the defendant was to inflict severe emotional distress or they had the knowledge that such distress could be caused;

The behavior of the defendant was the cause of the emotional distress; and Severe emotional distress caused by the defendant's behavior to the plaintiff. The behavior of Phil is outrageous and done with the intention to harm Sally emotionally, his behavior directly leads to Sally fainting and hitting her head on the pavement causing injury. Therefore, the cause of action Sally should bring against Phil is Intentional Infliction of Emotional Distress (IIED). Hence, option (D) is the correct answer.

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The world consists of two countries, H (Home) and F (Foreign). Both countries are endowed with skilled labor (S) and unskilled labor (N). Country H is far smaller but relatively more skilled-labor abundant than country F, > Both types of labor are hired in sector e for the production of electronics as well as in sector g for the production of garments. Sector e is skilled-labor intensive, while sector g is unskilled-labor intensive. Consumers have the preference over electronics and garments, U = C₂ * Cg, where Ce and Cg denote the consumption of electronics and cars, respectively. The assumptions of the H-O model hold. Take electronics as the numeraire. In equilibrium, skilled labor earns a higher wage rate than unskilled labor. Skill premium is defined as the wage ratio of skilled versus unskilled labor. Scenario 1: Unskilled Immigrants and Skill Premium under Autarky Country H is initially under autarky before it receives the inflows of unskilled migrants. a) Show graphically and explain intuitively the impacts of unskilled migrants on skill premium and on the sectoral skilled-unskilled labor ratio in country H. b) Use the box diagram to show the impacts of unskilled migrants on sectoral inputs of skilled and unskilled labor, respectively. How do unskilled migrants affect the welfare of skilled labor and unskilled labor in country H? c) Use the production possibility curve and the indifference curve to show graphically the impacts of unskilled migrants on sectoral production and consumption. Scenario 2: Unskilled Immigrants and Skill Premium under Free Trade Country H is initially under free trade before it receives the inflows of unskilled migrants. d) Show graphically and explain intuitively the impacts of unskilled migrants on skill premium and on the sectoral skilled-unskilled labor ratio in country H. e) Use the box diagram to show the impacts of unskilled migrants on sectoral inputs of skilled and unskilled labor, respectively. How do unskilled migrants affect the welfare of skilled labor and unskilled labor in country H? f) Use the production possibility curve and the indifference curve to show graphically the impacts of unskilled migrants on sectoral production and consumption. g) Use trade triangle to explain graphically how unskilled migrants affects trade flows. Explain intuitively whether your findings depend on the size of migrant inflows. Scenario 3: Skilled Immigrants and Skill Premium under Free Trade Country H is initially under free trade before it receives the inflows of skilled migrants. h) Explain intuitively how skilled migrants affects trade flows and skill premium. Explain intuitively whether your findings depend on the size of migrant inflows.

Answers

Scenario 1: Unskilled Immigrants and Skill Premium under Autarky

a) The inflow of unskilled migrants into Country H will increase the supply of unskilled labor. As a result, the skill premium, which is the wage ratio of skilled versus unskilled labor, will decrease.

The sectoral skilled-unskilled labor ratio in Country H will also decrease, as there will be a relatively larger increase in the supply of unskilled labor compared to skilled labor.

b) In the box diagram, the impact of unskilled migrants on sectoral inputs of skilled and unskilled labor can be represented by a leftward shift in the unskilled labor supply curve. This indicates an increase in the supply of unskilled labor. The welfare of skilled labor in Country H will decrease due to the decrease in the skill premium. On the other hand, the welfare of unskilled labor may be affected differently depending on factors such as the elasticity of substitution between skilled and unskilled labor and the relative size of the labor supply shocks.

c) With the inflow of unskilled migrants, the production possibility curve will shift outward, indicating an increase in the total production capacity of both sectors. However, the impact on sectoral production and consumption will depend on factors such as the elasticity of substitution between skilled and unskilled labor and the relative efficiency of skilled and unskilled labor in each sector.

Scenario 2: Unskilled Immigrants and Skill Premium under Free Trade

d) The impact of unskilled migrants on skill premium and the sectoral skilled-unskilled labor ratio in Country H will be similar to scenario 1. However, under free trade, there may be additional effects on the skill premium due to changes in relative prices of goods and factors of production.

e) In the box diagram, the impact of unskilled migrants on sectoral inputs of skilled and unskilled labor will still be represented by a leftward shift in the unskilled labor supply curve. The welfare of skilled labor and unskilled labor may be affected by changes in relative prices, changes in factor returns, and potential adjustments in production patterns.

f) The impact of unskilled migrants on sectoral production and consumption will depend on the specific factors mentioned in scenario 1, as well as changes in relative prices and changes in factor returns resulting from free trade.

g) The trade triangle can be used to explain how unskilled migrants affect trade flows. The inflow of unskilled migrants can lead to changes in relative factor endowments, which in turn can affect comparative advantage and trade patterns. The findings may depend on the size of migrant inflows as larger inflows can have a more significant impact on factor supplies, factor prices, and trade flows.

Scenario 3: Skilled Immigrants and Skill Premium under Free Trade

h) The inflow of skilled migrants into Country H can affect trade flows by altering the relative factor endowments and comparative advantage. Depending on the skill level and industry-specific skills of the migrants, there may be changes in the composition of exports and imports. The impact on skill premium will depend on factors such as the elasticity of substitution between skilled and unskilled labor and the relative size of the migrant inflows.

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Florence Rossi is semi-retired and sits on the board of directors of several Canadian public corporations. A summary of her 2021 financial activity is presented below.
Interest on long-term bonds $20,000
Gain on sale of farmland (Florence acquired the farmland three years ago with the intention of subdividing it into building lots for resale but sold it in 2021 after losing a rezoning application.) 13,000
Director’s fees from public corporations 22,000
Gain on sale of public corporation shares 16,000
Legal fees paid to collect a bonus on a former employment contract 2,000
Loss on sale of shares of a Canadian-controlled private corporation that qualifies as a small business corporation 8,000
Loss on sale of public corporation shares 20,000
Share of the operating loss from a partnership that operates a small grain farm with hired help 18,000
REQUIRED: Determine Florence’s net income for tax purposes in accordance with Section 3 of the Income Tax Act. Assume that other deductions, including CPP enhanced contributions with respect to the director’s fees, total $1,000. Categorize & list the sources of income & deductions using the following template.
ITA 3(a) Employment income
ITA 3(a) Property Income
ITA 3(a) Business income
ITA 3(b) Taxable capital Game
ITA 3(c) Other deductions
ITA 3(d) Loses
Total Income for tax purposes

Answers

Florence Rossi's net income for tax purposes, in accordance with Section 3 of the Income Tax Act, is $82,000, considering her various sources of income and deductions.

Total Income for tax purposes:

ITA 3(a) Property Income:

- Interest on long-term bonds: $20,000

ITA 3(a) Business income:

- Share of the operating loss from a partnership that operates a small grain farm with hired help: $18,000

ITA 3(a) Employment income:

- Director's fees from public corporations: $22,000

ITA 3(d) Losses:

- Loss on sale of shares of a Canadian-controlled private corporation that qualifies as a small business corporation: $8,000

- Loss on sale of public corporation shares: $20,000

ITA 3(a) Property Income:

- Gain on sale of farmland: $13,000

ITA 3(a) Business income:

- Legal fees paid to collect a bonus on a former employment contract: $2,000

ITA 3(a) Property Income:

- Gain on sale of public corporation shares: $16,000

ITA 3(c) Other deductions:

- Other deductions (including CPP enhanced contributions): $1,000

To determine Florence's net income for tax purposes, we categorize and list the sources of income and deductions as follows:

ITA 3(a) Property Income:

- Interest on long-term bonds: $20,000

ITA 3(a) Business income:

- Share of the operating loss from a partnership that operates a small grain farm with hired help: $18,000

- Legal fees paid to collect a bonus on a former employment contract: $2,000

ITA 3(a) Employment income:

- Director's fees from public corporations: $22,000

ITA 3(d) Losses:

- Loss on sale of shares of a Canadian-controlled private corporation that qualifies as a small business corporation: $8,000

- Loss on sale of public corporation shares: $20,000

ITA 3(a) Property Income:

- Gain on sale of farmland: $13,000

ITA 3(a) Property Income:

- Gain on sale of public corporation shares: $16,000

ITA 3(c) Other deductions:

- Other deductions (including CPP enhanced contributions): $1,000

Calculating the total income for tax purposes, we add up all the amounts:

$20,000 (Property Income) + $18,000 (Business income) + $2,000 (Business income) + $22,000 (Employment income) - $8,000 (Losses) - $20,000 (Losses) + $13,000 (Property Income) + $16,000 (Property Income) - $1,000 (Other deductions) = $82,000

Therefore, Florence's net income for tax purposes, in accordance with Section 3 of the Income Tax Act, is $82,000.

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A market is described by the following supply and demand curves: Q S
=4P
Q D
=400−P
The equilibrium price is and the equilibrium quantity is Suppose the government imposes a price ceiling of $90. This price ceiling is , and the market price will be . The quantity supplied will be , and the quantity demanded will be . Therefore, a price ceiling of $90 will result in Suppose the government imposes a price floor of $90. This price floor is , and the market price will be . The quantity supplied will be and the quantity demanded will be . Therefore, a price floor of $90 will result in Instead of a price control, the government levies a tax on producers of $10. As a result, the new supply curve is: Q S
=4(P−10) With this tax, the market price will be , the quantity supplied will be , and the quantity demanded will be . The passage of such tax will result in

Answers

A tax of $10 will result in no effect on the market equilibrium. The effect of the tax on the market is the reduction of the quantity traded, an increase in the market price and a decrease in the price received by the sellers.

Equilibrium price and quantity: Equilibrium price is $120 and equilibrium quantity is 280.

Price ceiling: The maximum price, the price ceiling is $90.

This price ceiling is binding. The market price will be $90. The quantity supplied will be 360 and the quantity demanded will be 40.

Therefore, a price ceiling of $90 will result in excess supply of 320.Price floor: The minimum price, the price floor is $90. This price floor is not binding.

The market price will be $120. The quantity supplied will be 280 and the quantity demanded will be 280. Therefore, a price floor of $90 will result in no effect on the market equilibrium.

Tax: The new supply curve is Q S = 4(P - 10). The market price will be $110. The quantity supplied will be 240 and the quantity demanded will be 240.

Therefore, a tax of $10 will result in no effect on the market equilibrium. The effect of the tax on the market is the reduction of the quantity traded, an increase in the market price and a decrease in the price received by the sellers.

The amount of the tax is shared by the buyers and sellers in the market, and the relative sharing of the tax depends on the price elasticity of demand and supply.

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Advika is leasing a car originally valued at $42,200. The lease is being financed with an interest rate of 8.69% compounded monthly with Payments of $416 at the beginning of each month.
How many payments will Advika have to make repay the original value of the car?

Answers

The correct option is (c) 88.

Given that Advika is leasing a car originally valued at $42,200. The lease is being financed with an interest rate of 8.69% compounded monthly with payments of $416 at the beginning of each month.

We need to find out how many payments Advika will have to make to repay the original value of the car.

Using the loan payment formula; Payment = P × (r/n) × 1 / [1 - (1 + r/n) ^-nt]

Where P is the loan amount (principal), r is the annual interest rate, n is the number of payments per year and t is the total number of payments.

Here, P = 42,200, r = 8.69%, n = 12 (compounded monthly) and Payment = $416

Substituting these values into the above formula, we get:416 = 42200 × (8.69 / 12) × 1 / [1 - (1 + 8.69 / 12) ^-t]

Simplify the above equation: 1 - (1 + 8.69 / 12) ^-t = 42200 × (8.69 / 12) / 416= 0.02698 => (1 + 8.69 / 12) ^-t = 0.97302

Taking the natural logarithm of both sides,-t × ln(1 + 8.69 / 12) = ln(0.97302)t = ln(1.02698) / ln(1 + 8.69 / 12)t ≈ 87.55 ≈ 88Payments are rounded up, so Advika will have to make 88 payments to repay the original value of the car.

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In a No Liability company
a.
A shareholder is not liable in the event of the winding up to
pay unpaid calls on shares
b.
There must be a constitution
c.
Shares will not be forfeited as

Answers

a. True. A shareholder in a No Liability company is not liable to pay unpaid calls on shares in the event of the winding up of the company.

b. True. A No Liability company must have a constitution.

c. False. Shares in a No Liability company can be forfeited if the shareholder fails to pay the calls on the shares.

A No Liability company is a type of company that is limited by shares. This means that the liability of the shareholders is limited to the amount unpaid on their shares. In other words, if a No Liability company is wound up, the shareholders are not liable to pay any debts of the company that are outstanding.

The constitution of a No Liability company is a document that sets out the rules and regulations of the company. The constitution must include a provision that states that the liability of the shareholders is limited to the amount unpaid on their shares.

Shares in a No Liability company can be forfeited if the shareholder fails to pay the calls on the shares. This means that the shares will be cancelled and the shareholder will lose their investment.

Here are some additional details about No Liability companies:

No Liability companies are typically used for mining or oil exploration ventures, as they offer limited liability to investors.

No Liability companies must be registered with the relevant government authorities.

The constitution of a No Liability company must be filed with the relevant government authorities.

I hope this helps! Let me know if you have any other questions.

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Emma is the manager of a large work unit at a bank. At a regular meeting, she spoke at her regular speed to her group. After the meeting, she realized her group did not fully understand what she was conveying. Her employees appeared to be listening and interested in what she was saying. The employees are probably not retaining and understanding everything she is saying because…
they cannot hear as quickly as she is speaking, so they experienced information overload
they can hear faster than she can speak, so their minds wandered
Nobody is alert and paying attention on a Monday
they do not care about what she has to say

Answers

The most likely reason the employees did not fully understand what Emma was conveying is option A: they cannot hear as quickly as she is speaking, so they experienced information overload.

The fact that Emma spoke at her regular speed suggests that she may have been speaking too quickly for the employees to process and comprehend all the information effectively. Although the employees appeared to be listening and interested, their limited capacity to hear and process information at the same rate as Emma's speech could have resulted in information overload.

The mismatch between Emma's speaking speed and the employees' ability to process information could have led to cognitive overload, where their brains struggle to keep up with the incoming information. As a result, their comprehension and retention of the conveyed message may have been compromised. Slowing down her speech, using visual aids, or providing written materials could help enhance understanding and engagement in future meetings.

Option A holds true.

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Mike Samson is a college football coach making a base salary of $648,000 a year ($54,000 per month). Employers are required to withhold a 6.2% Social Security tax up to a maximum base amount and a 1.45% Medicare tax with no maximum. Assuming the FICA base amount is $118,500.
2. What additional amount will the employer need to contribute towards FICA taxes?

Answers

The total FICA tax that needs to be paid is calculated by adding the employer's contribution and the employee's contribution. Therefore, the additional amount that the employer will need to contribute towards FICA taxes is:$7,347 + $9,396 = $16,743. Answer: $16,743.What additional amount will the employer need to contribute towards FICA taxes?

FICA taxes are mandatory payroll withholding that is assessed to cover Social Security and Medicare taxes. The amount of money the employer is expected to contribute to FICA taxes can be calculated. Now, let's calculate the additional amount the employer needs to contribute towards FICA taxes.FICA tax for Social Security = 6.2% of $118,500 = $7,347FICA tax for Medicare = 1.45% of $648,000 = $9,396. However, the FICA tax for Medicare doesn't have any maximum threshold.Since FICA taxes are split evenly between the employer and the employee, the employer will need to contribute the same amount as the employee. The total FICA tax that needs to be paid is calculated by adding the employer's contribution and the employee's contribution. Therefore, the additional amount that the employer will need to contribute towards FICA taxes is:$7,347 + $9,396 = $16,743. Answer: $16,743.What additional amount will the employer need to contribute towards FICA taxes?

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FINC251A
I need a list of suggestions for a manufacturing company
in Arab gulf states they have annual report for last 5
years

Answers

For a manufacturing company in the Arab Gulf states with annual reports for the last 5 years, here are some suggestions to consider:

1. Conduct a financial analysis of the company's performance over the last five years. Look at the company's financial statements, including income statements, balance sheets, and cash flow statements, and identify trends, strengths, and weaknesses.

2. Analyze the company's market position. Evaluate the competition and the industry in which the company operates. Assess the company's ability to compete effectively and identify potential areas for growth or diversification.

3. Examine the company's operational performance. Look at the efficiency of the company's manufacturing processes, quality control measures, and supply chain management. Identify areas where improvements can be made to reduce costs, increase productivity, and improve customer satisfaction.

4. Review the company's sustainability efforts. Evaluate the company's environmental impact and its efforts to reduce waste, conserve resources, and promote social responsibility.

5. Assess the company's risk management policies. Identify potential threats to the company's operations and develop strategies to mitigate those risks.

6. Evaluate the company's management team and corporate governance practices. Review the qualifications and experience of the company's executives and directors, and assess the effectiveness of the company's governance policies and procedures.

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The CFO may have to do the following actions given the cash conversion cycle: a) Execute a bank line of credit b) Obtain a short term bank loan c) Draw-down cash to cover accounts payable d) Possibly all the above actions

Answers

The correct answer is d) Possibly all the above actions. The CFO may need to execute a bank line of credit, obtain a short-term bank loan, and draw-down cash to cover accounts payable, based on the cash conversion cycle and the company's specific cash flow needs.

Given the cash conversion cycle, the CFO may have to take various actions to manage cash flow.

The cash conversion cycle (CCC) represents the time it takes for a company to convert its investments in inventory and other resources into cash from sales. It involves managing the timing of cash inflows and outflows to optimize liquidity.

To effectively manage the cash conversion cycle, the CFO may need to take the following actions:

a) Execute a bank line of credit: A bank line of credit provides a source of short-term financing that can help cover temporary cash flow gaps. By accessing a line of credit, the company can ensure it has enough funds to cover its operating expenses and manage working capital needs.

b) Obtain a short-term bank loan: In situations where the company requires additional funds beyond what a line of credit can provide, the CFO may choose to obtain a short-term bank loan. This type of loan can offer a lump sum amount that can be used to address immediate cash flow needs.

c) Draw-down cash to cover accounts payable: If the cash conversion cycle indicates that the company is taking longer to collect receivables compared to the payment terms for its accounts payable, the CFO may need to draw-down cash reserves to cover the outstanding payables. This ensures that the company maintains good relationships with its suppliers and avoids any potential disruptions in the supply chain.

d) Possibly all the above actions: Depending on the specific circumstances and needs of the company, the CFO may need to implement a combination of the above actions to effectively manage the cash conversion cycle.

Each action serves a different purpose in addressing the company's cash flow requirements and ensuring sufficient liquidity.

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A 22 years old new hire (at t=0 ) is planning for retirement at age 65 (at t=43). The new employee plans to save $2,000 per year for the next 15 years ( t=1 to t=15 ). The savings are estimated to earn 8% per year on average. At 65 , the person wants to have a retirement income of $80,000 per year for 20 years, with the first withdrawal occurring at t=43 right after last saving payment is deposited. How much money must be saved each year from t=16 to t=43 to attain the desired retirement goal.

Answers

The present value of the annuity that will provide the retirement income is $743,227.34.

A pension plan is a retirement plan that guarantees a specified amount of retirement income for its members. Pension plans have traditionally been provided by employers as part of their employee benefits package, but today many people are responsible for saving for their own retirement.

To determine how much money must be saved each year from t=16 to t=43 to attain the desired retirement goal, we need to calculate the present value of the annuity that will provide the retirement income.

The annuity will provide $80,000 per year for 20 years, with the first withdrawal occurring at t=43. To calculate the present value of this annuity, we need to discount each cash flow back to t=0, using an 8% discount rate.

We can use the following formula to calculate the present value of an annuity:

PMT * [(1 - (1 + r)-n) / r]where:

PMT = the annuity payment

= $80,000r

= the discount rate

= 8%n

= the number of payments

= 20

Using this formula, we find that the present value of the annuity is:

$80,000 * [(1 - (1 + 0.08)-20) / 0.08]

= $743,227.34

This is the amount of money that needs to be saved by the time the person retires at t=43. Since the person is already planning to save $2,000 per year from t=1 to t=15, the amount that needs to be saved each year from t=16 to t=43 is:

$743,227.34 - ($2,000 * 15) = $713,227.34

This amount needs to be saved over the course of 27 years, so the annual savings required is:

$713,227.34 / 27

= $26,417.31

The person must save $26,417.31 each year from t=16 to t=43 to attain the desired retirement goal. The present value of the annuity that will provide the retirement income is $743,227.34.

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Madlen considers buying an apartment. Now, she rents a place for €11,000 a year. The current annual interest rate on mortgages is 6.5%. Her planning period is 30 years. If she doesn't want to increase his housing costs, what amount of mortgage is available for his purchase? Q2: Demero Company reports the following information during: sales, $30,000,000; net income is 25% of the total sales, and the total assets are 45% of the net income; Calculate: (1) Return on assets. (2) Asset turnover. (3) Profit margin. Q3: A company offers to lease a system to you for $180 per month for five years. At the end of five years, you have the option to buy the system for $600. You will pay at the end of each month. He will sell the same system to you for $3,700 cash. If the going interest rate is 9%, which is the better offer?

Answers

Madlen can take a mortgage of €169,230.77 for purchasing the apartment without increasing her housing costs.

To calculate the mortgage amount, we can use the concept of present value of an annuity. Madlen's current annual rent of €11,000 can be considered as an annuity over 30 years, and she wants her mortgage payments to be the same as her rent. The formula to calculate the present value of an annuity is:

[tex]PV = PMT * (1 - (1 + r)^(-n)) / r[/tex]

Where PV is the present value (mortgage amount), PMT is the annuity payment (rent), r is the interest rate, and n is the number of periods (30 years).

Plugging in the values:

[tex]PV = 11,000 * (1 - (1 + 0.065)^(-30)) / 0.065[/tex]

[tex]PV ≈ €169,230.77[/tex]

Therefore, Madlen can take a mortgage of approximately €169,230.77 to purchase the apartment without increasing her housing costs.

Q2: To calculate the financial ratios for Demero Company:

(1) Return on assets: Net income / Total assets = 25% of $30,000,000 / 45% of 25% of $30,000,000.

(2) Asset turnover: Sales / Total assets = $30,000,000 / 45% of 25% of $30,000,000.

(3) Profit margin: Net income / Sales = 25% of $30,000,000 / $30,000,000.

Please provide information regarding the time period for which the given information applies (e.g., annual, quarterly) to provide a more accurate calculation.

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Rapid Wave is considering purchasing a water park in Atlanta, Georgia, for $2,050,000. The new facility will generate annual net cash inflows of $520,000 for eight years. Engineers estimate that the facility will remain useful for eight years and have no residual value. The company uses straight-line depreciation. Its owners want payback in less than five years and an ARR of 10% or more. Management uses a 12% hurdle rate on investments of this nature. (Click the icon to view the present value annuity table.) (Click the icon to view the future value annuity table.) Read the tequirements. The ARR (accounting rate of return) is (Round your answer to the nearest whole dollar.) Requirement 1. Compute the payback period, the ARR, the NPV, and the approximate IRR of this investment. (If you use the tables to compute the IRR, answer with the closest interest rate shown in the tables.) (Round the payback period to one decimal place.) The payback period (in years) is (Round the percentage to the nearest tenth percent.) Net present value The IRR (internal rate of return) is between (Click the icon to view the present value table.) %. Recommendation: (Click the icon to view the future value table.) Requirement 2. Recommend whether the company should invest in this project.

Answers

Requirement 1:

a. The ARR is 25%

b. The Net Present Value (NPV) = $88,120

c. Internal Rate of Return (IRR) = 14%

Requirement 2:

The payback period is less than the required five years, and the ARR is higher than the desired 10%.

How to determine the value

To determine the payback period, we have that the formula is given as;

Payback Period = Initial Investment / Annual Net Cash Inflows

Substitute the values, we have;

= $2,050,000 / $520,000 = 3.9 years

The ARR (Accounting Rate of Return) is calculated as;

ARR = (Average Annual Profit / Initial Investment) × 100%

ARR = ($520,000 / $2,050,000) × 100%

ARR = 25%

The Net Present Value (NPV) is calculated as;

NPV = Present Value of Cash Inflows - Initial Investment

NPV = $520,000 × 4.111 - $2,050,000

Multiply the values, we have;

NPV = $2,138,120 - $2,050,000 = $88,120

Internal Rate of Return (IRR) is determined by using the closest interest rate in the present value table, we have;

IRR = 14%

Requirement 2:

Based on the calculations, the payback period is less than the required five years, and the ARR is higher than the desired 10%.

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Rollerblade, a maker of skating gear, is evaluating two alternative presses. Press A costs $88,000, has a 4-year life, and is expected to generate annual cash inflows of $30,100 in each of the 4 years. Press B costs $122,000, has an 8-year life, and is expected to generate annual cash inflows of $24,600 in each of 8 years. The cost of replacement for A is $96,000, and the replacement press will generate cash inflows of $30,100 for another 4 years. Rollerblade uses a 12% cost of capital. Which press should be chosen?

Answers

To determine which press should be chosen, we can calculate the net present value (NPV) of each option.

The press with the higher NPV would be the more favorable choice, and Rollerblade should choose Press A.

Let's start with Press A:

Step 1: Calculate the NPV of Press A's cash flows:

The initial cost of Press A is -$88,000.

The annual cash inflow for each of the 4 years is $30,100.

The cost of replacement for Press A is -$96,000, which occurs at the end of the 4th year.

The replacement press generates cash inflows of $30,100 for another 4 years.

Using the NPV formula:

NPV = (-Initial Cost) + (Annual Cash Inflows / (1 + Cost of Capital)ⁿ) + (-Replacement Cost) + (Replacement Cash Inflows / (1 + Cost of Capital)ⁿ)

Where:

Initial Cost = -$88,000

Annual Cash Inflows = $30,100

Cost of Capital = 12%

n = 1, 2, 3, 4 for the initial cash inflows and replacement cash inflows

Calculating the NPV for Press A:

NPV_A = (-$88,000) + ($30,100 / (1 + 0.12)¹) + ($30,100 / (1 + 0.12)²) + ($30,100 / (1 + 0.12)³) + ($30,100 / (1 + 0.12)⁴) + (-$96,000) + ($30,100 / (1 + 0.12)⁵) + ($30,100 / (1 + 0.12)⁶) + ($30,100 / (1 + 0.12)⁷) + ($30,100 / (1 + 0.12)⁸)

Calculating this expression yields NPV_A ≈ $36,746.47

Now let's move on to Press B:

Step 2: Calculate the NPV of Press B's cash flows:

The initial cost of Press B is -$122,000.

The annual cash inflow for each of the 8 years is $24,600.

Using the same NPV formula:

NPV_B = (-$122,000) + ($24,600 / (1 + 0.12)¹) + ($24,600 / (1 + 0.12)²) + ($24,600 / (1 + 0.12)³) + ... + ($24,600 / (1 + 0.12)⁸)

Calculating this expression yields NPV_B ≈ $34,491.25

Step 3: Compare the NPVs:

Since NPV_A ($36,746.47) is greater than NPV_B ($34,491.25), choosing Press A would be the more favorable option.

Therefore, Rollerblade should choose Press A.

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Question 1 ( 15 marks) A firm whose shares are trading at 2 times book value is forecasted to earn a return on book value of 14 percent next year. Calculate the expected return to buying this stock for the following forecasts of residual earnings growth after the forward year: 4 percent, 6 percent, and 8 percent. What is the expected return if no growth is expected?

Answers

Given that a firm's shares are trading at two times the book value and it is anticipated that the firm will earn a 14% return on book value next year, we need to calculate the expected return on buying this stock for the following forecasts of residual earnings growth after the forward year: 4%, 6%, and 8%.Calculation for expected returnThe expected return can be calculated as follows:Expected return = Dividend yield + Capital gain yieldWhere,Dividend yield = Dividend / Market price of the stockCapital gain yield = (Price of stock after one year - Price of stock today) / Price of stock todayDividend yieldWe don't know the dividend, so we can't calculate the dividend yield. We can suppose a dividend yield of zero.Capital gain yieldLet's use the following variables:P0 = Market price of stock today;D1 = Dividend expected at the end of year 1;R = Return on book value;g = Residual earnings growth;So, the price of stock after one year can be expressed as:P1 = P0 * (1 + R * (1 - g))And the capital gain yield can be written as:Capital gain yield = (P1 - P0) / P0Substituting the given values in the equation, we have:For g = 4%:P1 = P0 * (1 + 14% * (1 - 4%)) = 1.1892 * P0Capital gain yield = (1.1892 * P0 - P0) / P0 = 0.1892For g = 6%:P1 = P0 * (1 + 14% * (1 - 6%)) = 1.2684 * P0Capital gain yield = (1.2684 * P0 - P0) / P0 = 0.2684For g = 8%:P1 = P0 * (1 + 14% * (1 - 8%)) = 1.3504 * P0Capital gain yield = (1.3504 * P0 - P0) / P0 = 0.3504If no growth is expected, then g = 0%:P1 = P0 * (1 + 14% * (1 - 0%)) = 1.14 * P0Capital gain yield = (1.14 * P0 - P0) / P0 = 0.14Hence, the expected return on buying this stock for the following forecasts of residual earnings growth after the forward year: 4%, 6%, and 8% is 18.92%, 26.84%, and 35.04%, respectively, and the expected return if no growth is expected is 14%.

Answer all the question given 4) b) A retirement account has $ 30 000 in it and the owner decides not to add more money into the account other than the interest that earned at 4% compound daily. How much will be in the account 25 years from now then the owner can reach retirement age? C) Then if the interest earned at 4% compound quarterly, would you be earned more or less than from the answer obtained earlier.

Answers

a) The retirement account with an initial balance of $30,000, earning 4% compound daily, will have a higher amount after 25 years compared to the initial balance.

b) If the interest is earned at 4% compound quarterly instead of daily, the account will earn less than the amount calculated in the previous scenario.

To calculate the future value of the retirement account after 25 years with compound interest of 4% daily, we can use the compound interest formula.

The future value (FV) can be calculated using the formula FV = P(1 + r/n)^(nt), where P is the principal amount, r is the interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we find that the account will have a higher amount than the initial balance of $30,000 after 25 years.

If the interest is earned at 4% compound quarterly instead of daily, the compounding periods per year change from 365 to 4. Using the same formula with the adjusted values, we can calculate the future value of the account.

Since the interest is compounded less frequently, the account will earn less interest over the 25-year period compared to the daily compounding scenario. Therefore, the amount in the account will be less than what was calculated earlier with daily compounding.

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In the production order quantity (POQ) model what happens when d=p?
a. The inventory level flat lines at zero
b. The system experiences a constant stock out
c. The optimal order quantity is zero
d. The holding cost become infinity

Answers

When the demand rate (d) is equal to the production rate (p) in the Production Order Quantity (POQ) model, the inventory level flat lines at zero.

The POQ model is a production planning approach that aims to minimize inventory costs by synchronizing production and demand. It involves placing production orders in fixed quantities to match the demand rate.

When the demand rate (d) is equal to the production rate (p), it means that the production rate precisely meets the demand rate. In this scenario, the inventory level does not accumulate or deplete over time. Each production order is consumed immediately by the demand, resulting in a flat inventory level at zero.

This condition implies that the system experiences a constant stock-out situation, as the production rate is unable to keep up with the demand rate. The company is unable to maintain any inventory buffer, and customer orders may not be fulfilled on time unless production capacity is increased or demand is reduced. It is essential for the company to carefully manage their production capacity and adjust it accordingly to avoid continuous stock-outs and meet customer demands effectively.

Therefore, option (a) is the correct answer: "The inventory level flat lines at zero."

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Which statement best describes the Atlanta Police Department's actions in the Frank case?
A. The Atlanta police, unlike the District Attorney's Office, sympathized with Frank and worked to find evidence
that would help his case
B. The Atlanta police remained neutral on the matter of Frank's guilt and worked fairly to gather evidence related
to the murder
C. The Atlanta police unfairly attempted to establish Frank's guilt, but a few of its members protested against the
injustice of this
D. The Atlanta police were removed from the investigation the day after the murder after reports surfaced of
their misconduct

Answers

The statement that best describes the Atlanta Police Department's actions in the Frank case is the option C. The Atlanta police unfairly attempted to establish Frank's guilt, but a few of its members protested against the injustice of this.

The Frank case refers to the trial of Leo Frank, who was accused and sentenced to death for the murder of Mary Phagan in Atlanta, Georgia, in 1913. He was a superintendent at a pencil factory where Mary was employed. A variety of factors, including anti-Semitism and public resentment toward Frank's ethnicity, influenced the case.

The involvement of the Atlanta Police Department

The Atlanta Police Department initially cooperated with the prosecution in the Frank case, going so far as to question witnesses in a coercive manner. Tom Watson, a newspaper editor, also contributed to the negative public view of Frank, which resulted in increased pressure for the case to be solved. However, some of the officers were not pleased with how the investigation was proceeding and attempted to establish Frank's innocence.

What was the verdict?

Despite Frank's conviction, the evidence against him was weak and based primarily on the testimony of one individual who may have lied under oath. Later, in 1915, Governor John Slaton of Georgia granted Frank clemency, commuting his sentence to life imprisonment. However, a group of men from Marietta, Georgia, broke into the prison where Frank was being held and lynched him.

Hence, the answer is option c i.e. The Atlanta police unfairly attempted to establish Frank's guilt, but a few of its members protested against the injustice of this.

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America put futures option on 1000g plastic's strike price = $0.92 per gram. If current futures price of seaweed 3 months later is $0.80 per gram. risk-free rate 3% p.a. continuously compounded. Volatility =0.01p.a. continuously compounded if it was a European future, what price should it be.

Answers

The price should be a total of Φ(-26.58) and Φ(-26.585).

To arrive at this result, we must consider the following data:

Strike Price (K): $0.92 per gramCurrent futures price (S): $0.80 per gramRisk-free rate (r): 3% p.a. continuously composedVolatility (σ): 0.01 p.a. continuously aggravatedTime to expiration (T): 3 months (or 0.25 years)

Steps to calculate the theoretical price of a European futures using the Black-Scholes model

1. Let's start by calculating the value of the exponential discount.

Let's consider the continuously compounded risk-free rate and for that, we will use the equation:

[tex]$e^{-rT}$[/tex]

2. Now, let's substitute the values, using the data shown earlier for the variables "r" and "T". Therefore, we had the permission:

[tex]e^{-0.03 \cdot 0.25}\\\\e^{-0.0075} \approx 0.9926[/tex]

3. It is also necessary to calculate the natural logarithm of the futures price and this value will be divided by the strike price. This is all explained by the formula:

[tex]$\ln\left(\frac{S}{K}\right)$[/tex]

4. By substituting the values in this formula, we get the following equation:

[tex]\ln\left(\frac{0.80}{0.92}\right)\\\\$\ln(0.8696) \approx -0.1404$[/tex]

5. After that, we must calculate the value of a European call option. Let's call this value d1 and to find it we will use the formula:

[tex]\[ d_1 = \frac{\ln\left(\frac{S}{K}\right) + \left(r + \frac{\sigma^2}{2}\right)T}{\sigma\sqrt{T}} \][/tex]

6. Substituting the values in the formula, we get the following equation:

[tex]\begin{document}\begin{align*}d1 &= \frac{-0,1404 + (0,03 + 0,0001/2) \cdot 0,25}{(0,01\sqrt{0,25})} \\ &= \frac{-0,1404 + (0,03 + 0,00005) \cdot 0,25}{(0,01\sqrt{0,25})} \\ &= \frac{-0,1404 + 0,0300125 \cdot 0,25}{(0,01\sqrt{0,25})} \\ &= \frac{-0,1404 + 0,007503125}{(0,01\sqrt{0,25})} \\ &\approx \frac{-0,1329}{(0,01 \cdot 0,5)} \\ &\approx \frac{-0,1329}{0,005} \\ &\approx -26,58 \\\end{align*}\end{document}[/tex]

7. Now let's calculate the value of a second European call option. Let's call it d2 and use the formula:

[tex]\[d_2 = d_1 - \sigma \sqrt{T}\][/tex]

8. Substituting the values, we get the following equation:

[tex]d^2 &= -26.58 - 0.01 \times 0.5 \\&= -26.58 - 0.005 \\&= -26.585\end{align*}[/tex]

9. Finally, we can calculate the value of the theoretical price of the European futures. We will call it C and use the following formula:

[tex]C = S e^{-rT} \Phi(d_1) - K e^{-rT} \Phi(d_2)[/tex]

10. We must substitute the values and this will create the equation:

[tex]C = 0.80 \times 0.9926 \times \Phi(-26.58) - 0.92 \times 0.9926 \times \Phi(-26.585) \approx 0.6331 \times \Phi(-26.58) - 0.9076 \times \Phi(-26.585)[/tex]

11. At this point, it is important to point out that Φ is the cumulative distribution function of the standard normal distribution. To find its value, we would need to find a standard normal distribution table.

With the help of the internet, we can find this table and see that Φ would receive the values Φ(-26.58) and Φ(-26.585). These values would be the value of the theoretical price of the European futures.

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