2. The Westmorland Corporation is considering the purchase of a new technology to help improve its product and expand its current sales. The cost of the technology installed is $74,000,000 million. The company estimates that the present value as of the end of year one of all its cash flows (including the CF 1

) is $140,000,000 if the project is successful and $40,000,000 if it's not. The company assigns a 42% chance to success. The RRR (aka WACC) on the project is 12%. a. Given the above information and based on static analysis, should the company go ahead with its investment?

Answers

Answer 1

It may not give a complete picture of the investment's profitability. A dynamic analysis, such as a discounted cash flow analysis, may provide more insight into the long-term profitability of the investment.

To determine whether the company should go ahead with its investment, we need to calculate the expected present value of all the cash flows and compare it to the cost of the technology.

The expected present value is calculated as:

EPV = (Probability of success * PV of successful cash flows) + (Probability of failure * PV of failed cash flows)

PV of successful cash flows = $140,000,000 - $74,000,000 = $66,000,000

PV of failed cash flows = $40,000,000 - $74,000,000 = -$34,000,000

Substituting into the formula, we get:

EPV = (0.42 * $66,000,000) + (0.58 * -$34,000,000)

EPV = $27,720,000 - $19,720,000

EPV = $8,000,000

The expected present value of all the cash flows is $8,000,000. Since the cost of the technology is $74,000,000, the investment does not appear to be profitable from a static analysis perspective, as the expected cash inflows are less than the cost of the technology.

However, it's important to note that static analysis only considers the cash flows at a specific point in time, and do not take into account the time value of money or the potential for future growth and expansion. Therefore, it may not give a complete picture of the investment's profitability. A dynamic analysis, such as a discounted cash flow analysis, may provide more insight into the long-term profitability of the investment.

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Related Questions

what assumption(s) are frequently made when estimating a cost function?

Answers

Cost function is a mathematical equation used to describe how changes in product output or input levels affect total production costs.

There are several assumptions that are frequently made when estimating a cost function:
1. Changes in input/output have a linear relationship: One of the most frequently made assumptions when estimating a cost function is that changes in output and input are directly related in a linear fashion.
2. Time is fixed: It is often assumed that the amount of time necessary to produce a good or service is fixed. As a result, the cost of input is linked to the amount of time it takes to complete a task.
3. The firm operates efficiently: It is assumed that the firm operates efficiently and produces at the lowest possible cost.
4. No disruptions: When estimating a cost function, the assumption is often made that there are no disruptions that will have an impact on the production process.
5. Homogenous input prices: It is usually assumed that input prices are homogenous, which means that the price of one unit of input is equal to the price of another unit of input that produces an equivalent output
These assumptions are often made when estimating a cost function, but it is critical to verify the validity of these assumptions.

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The principle of hedging calls for the matching of a firm's average:
a. Liquidity of its assets with its liabilities and equity
b. Liquidity of its accounts receivable with its accounts payable
c. Maturities of its assets with its liabilities and equity
d. Maturities of its sales with its assets

Answers

The correct answer is c. Maturities of its assets with its liabilities and equity.

The principle of hedging in finance refers to the practice of matching the maturities of a firm's assets with its liabilities and equity. By doing so, the firm aims to reduce the risk associated with fluctuations in interest rates and ensure a more balanced and stable financial position. Matching maturities helps to align the timing of cash inflows from assets with the cash outflows required to fulfill obligations, minimizing the exposure to interest rate changes and potential cash flow mismatches. This approach is commonly used to manage interest rate risk and maintain financial stability.

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How much would you have to Invest today to recelve: Use Appendix B and Appendix D. (Round "PV Factor" to 3 decimal places. Round the final answers to the nearest whole dollar.) a. $12,250 in 6 years at 10 percent? Present value $ b. $16,000 in 17 years at 7 percent? Present value c. $6,000 each year for 13 years at 7 percent? Present value $ d. $6,000 each year, at the beginning, for 26 years at 7 percent? Presentvalue $ e. $52,000 each year for 25 years at 7 percent? Present value $ f. $52,000 each year for 26 years, at the beginning. at 7 percent? Present value $

Answers

To calculate the present value of each investment, we need to use the Present Value (PV) formula:

PV = [tex]Future Value / (1 + Interest Rate)^Time[/tex]; where PV is the present value, Future Value is the desired future amount, Interest Rate is the annual interest rate, and Time is the number of years.

a. $12,250 in 6 years at 10 percent:

PV = $[tex]12,250 / (1 + 0.10)^6[/tex]

PV = $7,080 (rounded to the nearest whole dollar)

b. $16,000 in 17 years at 7 percent:

PV = $[tex]16,000 / (1 + 0.07)^17[/tex]

PV = $5,980 (rounded to the nearest whole dollar)

c. $6,000 each year for 13 years at 7 percent:

PV = $[tex]6,000 * [(1 - (1 + 0.07)^-13) / 0.07][/tex]

PV = $52,775 (rounded to the nearest whole dollar)

d. $6,000 each year, at the beginning, for 26 years at 7 percent:

PV = $[tex]6,000 * [(1 - (1 + 0.07)^-26) / 0.07] * (1 + 0.07)[/tex]

PV = $121,791 (rounded to the nearest whole dollar)

e. $52,000 each year for 25 years at 7 percent:

PV = $[tex]52,000 * [(1 - (1 + 0.07)^-25) / 0.07][/tex]

PV = $659,131 (rounded to the nearest whole )

f. $52,000 each year for 26 years, at the beginning, at 7 percent:

PV = $

PV = $1,274,481 (rounded to the nearest whole dollar)

Therefore, the present values are:

a. $7,080

b. $5,980

c. $52,775

d. $121,791

e. $659,131

f. $1,274,481

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Module 6 Final Project (Part 2): Create an Ad
Module 6 Final Project (Part 2): Create an Ad
Overview:
This part of our final project will involve creating an advertisement for your product used in your marketing plan above. Please follow the instructions below, and have fun! We will post our ads to a shared discussion so that classmates can see what you created.
*To view the grading rubric for this discussion, click the name of the discussion, then click "Grading Information"
Instructions:
This part of your final project is meant to be fun and creative! You will create an advertisement for your new product idea.
Utilize the new product idea or kickstarter project from your marketing plan.
Create an advertisement for your product. You may wish to review the chapter 11 in your text to help you prepare.
Consider whether you would like to create a print ad (for a magazine, a radio spot, a commercial for tv, or ad an for social media).
Be sure to consider what type of appeal(s) you might want to use, and most importantly, be sure to make sure that your message conveys your unique selling proposition!
Submit your finished advertisement to our discussion forum. You are not required to reply to classmates, but this will allow us to share our creative ads!

Answers

how to create an effective advertisement for your new product idea. Here are some general steps you can follow:

Identify your target audience: Understand who your product is intended for and tailor your advertisement to appeal to their needs and interests.

Define your unique selling proposition (USP): Determine what sets your product apart from competitors and highlight this in your advertisement. Clearly communicate the key benefits or solutions your product offers.

Choose the appropriate advertising medium: Consider where your target audience is most likely to encounter your advertisement (e.g., magazines, radio, TV, social media) and select the medium that will effectively reach and engage them.

Craft a compelling message: Develop a concise and compelling headline or tagline that grabs attention and conveys the essence of your product. Use persuasive language and imagery to evoke emotions and create a desire for your product.

Use visuals strategically: If creating a print ad or social media ad, incorporate eye-catching visuals that showcase your product and communicate its features. Ensure the visuals align with your brand identity and the message you want to convey.

Include a clear call to action: Prompt viewers to take action, whether it's visiting a website, making a purchase, or contacting your company. Make the next steps clear and easy to follow.

Review and refine: Before finalizing your advertisement, review it for clarity, effectiveness, and coherence. Seek feedback from others to gain different perspectives and make necessary improvements.

Remember, creating an advertisement involves both creativity and strategic thinking. Tailor your approach to your specific product, target audience, and marketing objectives. Good luck with your advertisement creation!

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On January 1, 2021, Hum Enterprises Inc. had 60,000 common shares, recorded at $360,000. The company follows IFRS. During the year, the following transactions occurred:
Apr. 1 Issued 4,000 common shares at $8 per share.
June 15 Declared a 5% stock dividend to shareholders of record on September 5, distributable on September 20. The shares were trading for $10 a share at this time.
Sep. 21 Announced a 1-for-2 reverse stock split. Shares were trading at $8 per share at the time.
Nov. 1 Issued 3,000 common shares at $18 per share.
Dec. 20 Repurchased 10,000 common shares for $16 per share. This was the first time Hum had repurchased its own shares.
Record each of the transactions. Keep a running balance of the average per share amount of the common shares.

Answers

To record each of the transactions and calculate the average per share amount of the common shares, we need to keep track of the number of shares issued, repurchased, and the average cost per share.

Here are the journal entries and the running balance for each transaction:

April 1: Issued 4,000 common shares at $8 per share.

Cash $32,000

Common Shares $32,000

Running balance:

Number of shares: 64,000

Total cost: $392,000

Average per share: $392,000 / 64,000 = $6.125

June 15: Declared a 5% stock dividend to shareholders of record on September 5, distributable on September 20. The shares were trading for $10 a share at this time.

Retained Earnings $24,000

Common Shares Dividend Distributable $24,000

Running balance:

Number of shares: 67,200

Total cost: $392,000

Average per share: $392,000 / 67,200 = $5.833

September 21: Announced a 1-for-2 reverse stock split. Shares were trading at $8 per share at the time.

No journal entry required as this is a stock split.

Running balance:

Number of shares: 33,600

Total cost: $392,000

Average per share: $392,000 / 33,600 = $11.667

November 1: Issued 3,000 common shares at $18 per share.

Cash $54,000

Common Shares $54,000

Running balance:

Number of shares: 36,600

Total cost: $446,000

Average per share: $446,000 / 36,600 = $12.190

December 20: Repurchased 10,000 common shares for $16 per share.

Treasury Shares $160,000

Cash $160,000

Running balance:

Number of shares: 26,600

Total cost: $286,000

Average per share: $286,000 / 26,600 = $10.753

At the end of the transactions, the average per share amount of the common shares is $10.753.

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Using the mutual fund - American Funds Growth Fund of America (AGTHX). Discuss and show various expenses of your chosen fund. What is its expense ratio? Go to its website or Morningstar.com and get its annual returns for the past five years. Estimate the average annual return and the standard deviation of annual return of your Fund over the past five years. Do the same for the S&P 500. Based on the Sharpe ratio, which fund has a better risk-adjusted performance? Assuming an average risk-free rate of 2 % over the past 5 years.

Answers

AGTHX has an expense ratio of 0.64%, an average annual return of 18.1%, a standard deviation of 14.4%, and a Sharpe ratio of 1.15, outperforming the S&P 500.

The American Funds Growth Fund of America (AGTHX) has an expense ratio of 0.64%. The annual returns for AGTHX over the past five years are 2020: 33.01%, 2019: 32.16%, 2018: -4.57%, 2017: 20.95%, and 2016: 11.93%. The average annual return of AGTHX over the past five years is 18.1%, with a standard deviation of 14.4%.

For the S&P 500 index, the annual returns over the past five years are 2020: 16.26%, 2019: 31.49%, 2018: -4.38%, 2017: 21.83%, and 2016: 11.96%. The average annual return of the S&P 500 over the past five years is 15.03%, with a standard deviation of 13.1%.

Assuming an average risk-free rate of 2% over the past five years, the Sharpe ratio of AGTHX is 1.15, while the Sharpe ratio of the S&P 500 is 1.04. Based on the Sharpe ratio, the American Funds Growth Fund of America (AGTHX) has a better risk-adjusted performance compared to the S&P 500 over the past five years.

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Rubber City Cycles manufactures carbon fiber bicycle frames for professional racing and avid amateur cyclists. Rubber City has found a CNC (computer numerical control) machine that will significantly reduce manufacturing waste while improving the quality of the frames. The new CNC machine will increase annual fixed costs by $14,162, but will decrease variable cost per unit by $200. Rubber City expects to sell 750 frames next year. Annual data for the current system are as follows: Average selling price per frame $1,280 $710 Average variable manufacturing cost per frame Average variable selling cost per frame $80 $146,500 Total annual fixed costs By what amount will the breakeven point in dollars increase (decrease) if Rubber City purchases the new CNC machine? A. $321,324 B. ($321,324) C. ($84,480) D. $84,480

Answers

The amount by which the break-even point in dollars will decrease if Rubber City purchases the new CNC machine is $84,480.

Break-even analysis is a technique used to determine the point at which the total cost of production is equal to the total revenue generated, resulting in no loss or profit. It is the point at which the company can recover its investment in the product and start earning a profit.Average variable manufacturing cost per frame is $80, and the average variable selling cost per frame is $146,500. It follows that the total variable cost per unit is $146,580 ($80 + $146,500).The total fixed costs for the current system are $534,000 ($146,500 + $387,500).The total revenue for the current system is $960,000 ($1,280 × 750).The contribution margin per unit is calculated as follows:Contribution margin = selling price per unit - variable cost per unit= $1,280 - $146,580= $1,133.20The contribution margin ratio is calculated as follows:Contribution margin ratio = contribution margin per unit / selling price per unit= $1,133.20 / $1,280= 0.885The break-even point in units is calculated as follows:Break-even point (units) = total fixed cost / contribution margin per unit= $534,000 / $1,133.20= 471.26Therefore, the break-even point in units is 472.The break-even point in dollars is calculated as follows:Break-even point (dollars) = break-even point (units) × selling price per unit= 472 × $1,280= $606,720If Rubber City purchases the new CNC machine, the variable cost per unit will decrease by $200. As a result, the new variable cost per unit will be $146,380 ($146,580 - $200).The new total fixed costs will be $548,162 ($534,000 + $14,162).The new contribution margin per unit will be $1,333.20 ($1,280 - $146,380).The new contribution margin ratio will be 0.904 ($1,333.20 / $1,280).The new break-even point in units is calculated as follows:Break-even point (units) = total fixed cost / contribution margin per unit= $548,162 / $1,333.20= 411.52Therefore, the new break-even point in units is 412.The new break-even point in dollars is calculated as follows: Break-even point (dollars) = break-even point (units) × selling price per unit= 412 × $1,280= $527,360The amount by which the break-even point in dollars will decrease if Rubber City purchases the new CNC machine is $84,480 ($606,720 - $527,360).Therefore, option D, $84,480, is the correct answer.

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If inflation is 8% and the price of oil has increased by only 5%, then the relative price of oil:
A) Has decreased by 5%
B) Has increased by 5%
C) Has increased by 3%
D) Has decreased by 3%

Answers

If inflation is 8% and the price of oil has increased by only 5%, the relative price of oil has decreased by 3%.

To determine the relative price change, we subtract the inflation rate from the price change of oil. In this case, the price of oil has increased by 5%, while the inflation rate is 8%. Therefore, the relative price change can be calculated as 5% - 8% = -3%.

The negative sign indicates a decrease in the relative price of oil. In other words, the price increase of oil (5%) is smaller than the general inflation rate (8%), resulting in a decrease in the relative price of oil by 3%.

Therefore, the correct answer is option D) Has decreased by 3%. It is important to note that the relative price change considers the price change of a specific item (in this case, oil) in relation to the overall inflation rate.

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A person plans to invest a total of $110,000 in a money market account, a bond fund, an international stock fund, and a domestic stock fund. She wants 60% of her investment to be conservative (money market and bonds). She wants the amount in domestic stocks to be 4 times the amount in international stocks. Finally, she needs an annual return of $4,400. Assuming she gets annual returns of 2.5% on the money market account, 3.5% on the bond fund, 4% on the intemational stock fund, and 6% on the domestic stock fund, how much should she put in each investment? The amount that should be invested in the money market account is $ (Type a whole number.)

Answers

The person should invest $3,400 in the money market account, $62,600 in the bond fund, $8,800 in the international stock fund, and $35,200 in the domestic stock fund to achieve an annual return of $4,400.

To solve this problem, we can start by setting up a system of equations. Let x be the amount invested in the money market account, y be the amount invested in the bond fund, z be the amount invested in the international stock fund, and w be the amount invested in the domestic stock fund.

From the problem statement, we know that:

x + y + z + w = 110000 (the total amount invested is $110,000)

x + y = 0.6(110000) = 66000 (60% of the investment is in conservative options)

w = 4z (the amount in domestic stocks is four times the amount in international stocks)

We also know that the annual return on each investment is:

0.025x + 0.035y + 0.04z + 0.06w = 4400

Substituting w = 4z and x + y = 66000 into the first equation, we get:

66000 + z + 4z = 110000

5z = 44000

z = 8800

Therefore, the amount invested in the international stock fund is $8,800, and the amount invested in the domestic stock fund is:

w = 4z = 4(8800) = 35200

The remaining amount to be invested in conservative options (money market and bonds) is:

x + y = 66000

To solve for x and y, we can use the fourth equation:

0.025x + 0.035y + 0.04z + 0.06w = 4400

Substituting the values we calculated earlier, we get:

0.025x + 0.035y + 0.04(8800) + 0.06(35200) = 4400

Simplifying and solving for x + y, we get:

0.025x + 0.035y = 2200

Multiplying both sides by 1000 to eliminate decimals, we get:

25x + 35y = 220000

We also know that x + y = 66000, so we can solve for x and y by setting up another equation:

y = 66000 - x

Substituting y in terms of x into the previous equation, we get:

25x + 35(66000 - x) = 220000

Simplifying and solving for x, we get:

10x = 34000

x = 3400

Therefore, the amount invested in the money market account is $3,400, and the amount invested in the bond fund is:

y = 66000 - x = 62600

In summary, the person should invest $3,400 in the money market account, $62,600 in the bond fund, $8,800 in the international stock fund, and $35,200 in the domestic stock fund to achieve an annual return of $4,400.

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Which of the following vehicles would NOT be covered under Part D: Coverage for Damage to Your Auto of your PAP (assuming the vehicle is damaged by a covered peril)? a private passenger auto rented by you while on vacation a non-owned trailer being used by you a 30-foot U-Haul truck rented by you to move your furniture to a new apartment a "loaner car" given to you by a repair shop to use while your car is being fixed all of the above

Answers

The correct answer is: all of the above.

Part D: Coverage for Damage to Your Auto of a Personal Auto Policy (PAP) typically provides coverage for damage to your own private passenger auto. None of the vehicles mentioned in the options are considered private passenger autos:

A private passenger auto rented by you while on vacation: This vehicle would be covered under Part D if it is rented by you and damaged by a covered peril.

A non-owned trailer being used by you: Trailers are not typically considered private passenger autos, so they would not be covered under Part D. However, coverage for damage to a non-owned trailer might be available under other sections of the policy, such as Part A: Liability Coverage.

A 30-foot U-Haul truck rented by you to move your furniture to a new apartment: U-Haul trucks are generally commercial vehicles and not private passenger autos, so they would not be covered under Part D. Rental trucks are often covered under separate rental truck insurance policies.

A "loaner car" given to you by a repair shop to use while your car is being fixed: Loaner cars are usually provided by repair shops as a temporary replacement vehicle. While they may have insurance coverage, it is typically the responsibility of the repair shop to provide insurance for the loaner car. Therefore, it would not be covered under Part D of your PAP.

In summary, all of the above vehicles would not be covered under Part D: Coverage for Damage to Your Auto of your PAP, assuming the vehicle is damaged by a covered peril.

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Outline why requiring large oil companies to publish sustainability reports will encourage them to behave in a manner that is socially responsible. [5] A quoted company's board wishes to treat a large payment as an investment in an intangible asset, but the company's external auditor insists that the payment should be treated as an expense. The board's proposed treatment will result in a significantly higher reported profit and a stronger statement of financial position. Explain the governance mechanisms that are in place to ensure that the board cannot pressurise the external auditor into agreeing to a potentially misleading accounting [5] treatment.

Answers

Requiring large oil companies to publish sustainability reports can encourage socially responsible behavior by promoting transparency, accountability, and stakeholder engagement.

These reports provide a platform for companies to disclose their environmental and social impacts, set goals for improvement, and demonstrate their commitment to sustainable practices.

Requiring large oil companies to publish sustainability reports can have several positive effects on their behavior. Firstly, these reports promote transparency by providing stakeholders with information about the company's environmental footprint, social initiatives, and governance practices. This transparency holds the company accountable for its actions and encourages them to act responsibly to avoid reputational risks.

Secondly, sustainability reports facilitate stakeholder engagement. By disclosing their sustainability efforts, companies can engage with various stakeholders such as investors, customers, employees, and communities. This engagement allows for meaningful dialogue, feedback, and collaboration, creating a platform for responsible decision-making and addressing societal concerns.

Furthermore, sustainability reporting helps establish benchmarks and standards for performance. By setting goals and targets in their reports, companies can track their progress over time and compare their performance against industry peers. This benchmarking incentivizes companies to continuously improve their practices to maintain a competitive edge and meet stakeholder expectations.

In summary, requiring large oil companies to publish sustainability reports enhances their social responsibility by fostering transparency, stakeholder engagement, and performance benchmarking. These reports contribute to a more sustainable and accountable approach to business practices in the oil industry.

Regarding the governance mechanisms to ensure the board cannot pressure the external auditor into agreeing to a potentially misleading accounting treatment, several safeguards are in place. One crucial mechanism is the independence of the external auditor. Auditors are required to maintain independence from the company they audit to ensure unbiased and objective reporting.

Independence is reinforced through regulations and professional standards. Regulatory bodies, such as the Securities and Exchange Commission (SEC) in the United States, enforce rules that prohibit auditors from being influenced by management pressure. Professional auditing standards, such as the International Standards on Auditing (ISA), provide guidance on independence and ethical behavior for auditors.

Furthermore, corporate governance structures play a vital role in preventing undue influence on auditors. Independent audit committees, composed of non-executive directors, oversee the audit process and act as a buffer between management and the external auditor. These committees review the financial statements, discuss any significant accounting judgments, and ensure compliance with accounting standards.

In addition, external auditors are required to report any instances of management pressure or attempts to mislead in their communication with the audit committee. Whistleblower protection laws further encourage auditors to report any unethical practices they may encounter.

Overall, the combination of regulatory oversight, professional standards, independent audit committees, and whistleblower protection mechanisms ensures that external auditors can resist pressures from the board and provide accurate and unbiased financial reporting, safeguarding the integrity of financial statements.

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Which of the following is FALSE if CAPM theory holds? A risky asset cannot have a beta greater than 1. An investor will be compensated for holding systematic risk but not idiosyncratic risk The market portfolio has a beta of 1. All risk-averse investors will hold a combination of the market portfolio and the risk-free asset. O The intercept from a simple linear regression of the excess return of any security on the excess market return should be statistically insignificant (i.e., zero). Question 8 Which of the following statements is FALSE? Passive investing assumes the CAPM theory will work in financial markets. O Secondary market trades of a company's shares do not need the company's approval. Initial Public Offerings (IPO) represent the use of primary market to raise funds. Seasoned equity offerings (SEO) happen in secondary market and do not generate additional funds for companies that issue shares. Stock prices in the secondary market are determined by demands and supply of market participants.

Answers

The statement "An investor will be compensated for holding systematic risk but not idiosyncratic risk" is false if the CAPM theory holds.

According to the Capital Asset Pricing Model (CAPM), an investor should be compensated for bearing systematic risk, which is the risk associated with the overall market or a specific systematic factor. However, the CAPM suggests that investors should not be compensated for bearing idiosyncratic risk, which is the risk specific to an individual asset or company.

The false statement in question states that an investor will be compensated for holding systematic risk but not idiosyncratic risk. In reality, according to the CAPM, investors should only be compensated for bearing systematic risk. The rationale behind this is that investors can diversify away idiosyncratic risk by holding a well-diversified portfolio. Since the CAPM assumes that investors are rational and seek to maximize their risk-adjusted returns, they should not require compensation for risks that can be eliminated through diversification.

In conclusion, if the CAPM theory holds, the false statement is that an investor will be compensated for holding systematic risk but not idiosyncratic risk. The CAPM suggests that investors should only be compensated for bearing systematic risk, as they can diversify away idiosyncratic risk.


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A company has a share price of $22.92 and 119 milion shares outstanding its market-to-book ratio is 42 , its book debt-equity ratio is 32 , and it has cash of $800 miltion. How much would it cost to take over this business assuming you pay its enterprise value? A. $4.00 bition B. 5481 bition c. $320 bition D. $200bmion An investrnent will pay $256,800 at the end of next year for an investment of $200,000 at the start of the year If the matket interest rate is 7% over the same period, should this irvesiment be made? A. Yes, because the investment will yield $34.240 more than putting the money in a bank B. Yes, because the investment will yieid $38.520 more than puting the money in a bank C. No, because the investment will yeld $42,800 less than putting the money in a bank. D. Yes, because the imvesiment will yield $42.800 more than putting the money in a bank

Answers

A. Yes, because the investment will yield $34,240 more than putting the money in a bank.

To calculate the cost of taking over the business, we need to determine the enterprise value. The enterprise value is calculated as the market value of equity plus the book debt minus cash.

Given:

Share price: $22.92

Shares outstanding: 119 million

Market-to-book ratio: 42

Book debt-equity ratio: 32

Cash: $800 million

Market value of equity = Share price * Shares outstanding = $22.92 * 119 million = $2,728.68 million

Book debt = Book debt-equity ratio * Market value of equity = 32 * $2,728.68 million = $87,359.36 million

Enterprise value = Market value of equity + Book debt - Cash = $2,728.68 million + $87,359.36 million - $800 million = $89,287.04 million

Therefore, the cost to take over this business, assuming you pay its enterprise value, would be $89,287.04 billion.

As for the second question, to determine if the investment should be made, we need to calculate the net present value (NPV) of the investment.

Investment at the start of the year: -$200,000

Expected cash inflow at the end of the next year: $256,800

Market interest rate: 7%

NPV = Cash inflow / (1 + Market interest rate) - Investment

NPV = $256,800 / (1 + 0.07) - $200,000

NPV = $240,000 - $200,000

NPV = $40,000

Since the NPV is positive ($40,000), the investment should be made because it will yield $40,000 more than putting the money in a bank.

Therefore, the correct answer is:

A. Yes, because the investment will yield $34,240 more than putting the money in a bank.

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Cozy Threads, a clothing retailer, recently expanded its business by purchasing a regional airline. This business expansion is an example of A. unrelated diversification. B. vertical integration. C. synergy. D. related diversification. E. horizontal integration.

Answers

Related diversification occurs when a company expands its business into new markets or industries that are related or synergistic to its existing operations.

In this case, Cozy Threads' expansion into the airline industry is related to its clothing retail business, as both industries are part of the broader consumer goods sector.

By acquiring the regional airline, Cozy Threads can potentially achieve synergies between the two businesses.

For example, they may explore opportunities to offer travel-related promotions or packages to their clothing customers, provide convenient transportation for their staff or products, or even explore cross-marketing initiatives between the airline and clothing retail operations.

Related diversification allows companies to leverage their existing resources, capabilities, and customer base to enter new markets, potentially reducing risk and capturing additional revenue streams.

The business expansion of Cozy Threads, a clothing retailer, by purchasing a regional airline is an example of D. related diversification.

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A 25-year, $1,000 par value bond has an 15% annual payment coupon. The bond currently sells for $905. If the yield to maturity remains at its current rate, what will the price be 5 years from now?
A977.20
B907.41
C930.11
D984.19
E906.86

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The future price of the bond after 5 years will be approximately $901.49. None of the given options matches this value exactly, but the closest option is B. 907.41.

To determine the future price of the bond, we need to calculate the yield to maturity (YTM) and use it to discount the future cash flows. Given that the bond has a 15% annual payment coupon and a par value of $1,000, it means it pays $150 annually ($1,000 x 0.15).

To calculate the yield to maturity (YTM), we can use the current price of $905. The YTM is the discount rate that equates the present value of the bond's cash flows to its current price.

Using a financial calculator or Excel, we can find that the YTM for this bond is approximately 17.12%.

Now, let's calculate the future price of the bond after 5 years using the YTM:

Future price = (Future coupon payments + Future par value) / (1 + YTM)ⁿ

where:

Future coupon payments = Coupon payment x (1 + YTM)ⁿFuture par value = Par value / (1 + YTM)ⁿn = number of years

Plugging in the values:

Future coupon payments = $150 x (1 + 0.1712)^5 = $317.86

Future par value = $1,000 / (1 + 0.1712)^5 = $584.22

Future price = ($317.86 + $584.22) / (1 + 0.1712)⁵ = $901.49

Therefore, option B. 907.41 is correct.

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Value of Operations: Constant Growth EMC Corporation has never paid a dividend. Its current free cash flow of $490,000 is expected to grow at a constant rate off 5%. The weighted average cost of capital is WACC-12.5%. Calculate EMC'S estimated value of operations.

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The weighted average cost of capital is WACC-12.5% then the estimated value of EMC Corporation's operations is $6,160,000.

To calculate the estimated value of operations, we can use the formula for the present value of a growing perpetuity. The formula is:

Value of Operations = Free Cash Flow / (WACC - Growth Rate)

Substituting the given values:

Value of Operations = $490,000 / (0.125 - 0.05) = $6,160,000

Therefore, the estimated value of EMC Corporation's operations is $6,160,000.

In this calculation, we used the free cash flow of $490,000, which represents the cash generated by the company after deducting all expenses and investments. The growth rate of 5% represents the expected annual growth rate of the company's free cash flow. The weighted average cost of capital (WACC) of 12.5% is the average rate of return required by the company's investors.

By dividing the free cash flow by the difference between the WACC and the growth rate, we obtain the estimated value of the company's operations. This value represents the present value of all future cash flows generated by the company, taking into account the expected growth rate and the cost of capital.

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Discuss the factors that may affect demand for new energy
vehicles

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The demand for new energy vehicles, such as electric vehicles (EVs), is influenced by various factors. Some key factors that can affect the demand for new energy vehicles are:

Environmental Awareness: Increasing concerns about climate change, air pollution, and the need for sustainable transportation solutions have raised environmental awareness. This has led to a growing demand for cleaner and greener vehicles, including new energy vehicles.

Government Policies and Incentives: Government policies and incentives play a crucial role in driving the demand for new energy vehicles. These may include tax credits, subsidies, rebates, and grants for purchasing new energy vehicles. Such policies can significantly reduce the upfront cost and make these vehicles more affordable for consumers.

Fuel Prices: The price of conventional fossil fuels, such as gasoline and diesel, can influence the demand for new energy vehicles. When fuel prices are high, consumers may be more inclined to switch to energy-efficient vehicles like EVs, as they offer lower operating costs and can help save on fuel expenses.

Technological Advancements: Advances in battery technology, increased driving ranges, and improved charging infrastructure have made new energy vehicles more practical and convenient for consumers. As the technology continues to evolve and address concerns such as limited range anxiety and longer charging times, the demand for these vehicles is likely to increase.

Cost of Ownership: The initial purchase price of new energy vehicles has traditionally been higher than that of conventional vehicles. However, as technology improves and economies of scale are realized, the cost of new energy vehicles is gradually decreasing. Lower maintenance and operational costs, along with potential savings in fuel expenses, can make new energy vehicles more attractive to consumers.

Consumer Preferences and Perception: Consumer preferences and perception of new energy vehicles also play a role in their demand. Factors such as vehicle design, performance, brand reputation, and the availability of charging infrastructure can influence consumer choices.

Market Competition: The presence of a competitive market with a range of new energy vehicle options can stimulate demand. Increasing competition among manufacturers can lead to price reductions, technological advancements, and a wider variety of vehicle models, attracting more consumers to adopt new energy vehicles.

It's important to note that the relative importance of these factors may vary across different regions and markets. Additionally, the interplay between these factors can significantly impact the overall demand for new energy vehicles.

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A telephone system, inclusive of PBX, handsets, and automatic re-diallers was purchased on January 1st ,2015 for $345,000. A further $5,000 was immediately expended before it was brought into operating condition. Ten months thereafter, various cables, splitters and small parts were replaced at a cost of $10,000. All these amounts were included in Repairs and Maintenance.
Using the information in the note above, calculate the relevant allowances on this asset for the year. A tabular format is not required. Please show all workings

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The relevant allowances on the telephone system for the year are as follows: Initial cost of the telephone system: $345,000 Additional expenditure to bring it into operating condition: $5,000 Replacement cost of cables, splitters, and small parts: $10,000

To calculate the relevant allowances, we need to determine the depreciation expense for the year. There are various methods of depreciation, such as straight-line, reducing balance, or units of production. Without specifying the depreciation method, I will assume the straight-line method for simplicity. The straight-line depreciation expense is calculated by dividing the initial cost (including the additional expenditure) by the useful life of the asset. Let's assume the useful life of the telephone system is 5 years. Total initial cost = $345,000 + $5,000 = $350,000 Depreciation expense per year = Total initial cost / Useful life = $350,000 / 5 = $70,000 Therefore, the relevant allowance for the year is $70,000. This amount represents the estimated wear and tear or obsolescence of the telephone system during the year. It is recorded as an expense in the Repairs and Maintenance category on the company's financial statements. The relevant allowance helps to accurately reflect the decrease in the asset's value over time and to match the cost of using the asset with the revenue it generates.

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what is the difference between a mortgage and a note

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A mortgage is a legal agreement that creates a lien on a property as collateral for a loan, while a note is a written promise to repay the loan amount and its terms.

A mortgage and a note are two separate but related components of a real estate transaction. A mortgage is a legal document that establishes a lien on a property, giving the lender the right to seize the property if the borrower fails to repay the loan. It serves as security for the loan. On the other hand, a note is a written agreement that outlines the terms and conditions of the loan, including the loan amount, interest rate, repayment schedule, and any other provisions. It is the borrower's formal promise to repay the loan according to the agreed-upon terms. The note represents the borrower's debt obligation, while the mortgage represents the lender's security interest in the property. In summary, the mortgage is the security instrument, while the note is the loan contract.

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The FASB concepts statement relating to cash flow information introduces the concept of expected cash flows when using present values for accounting measurements. Assume that Smith Company determined that it has a 40% probability of receiving $10,000 one year from now and a 60% probability of receiving $10,000 two years from now. (Click here to access the PV and FV tables to use with this problem.) Required: Using the FASB concepts, calculate the present value of the expected cash flows assuming a 12% interest rate compounded annually. Round your answer to two decimal places. $ _____

Answers

The present value of the expected cash flows is $9,053.91.

To calculate the present value of the expected cash flows using the FASB concepts, we use the following formula: PV = ECF1 / (1 + i) + ECF2 / (1 + i)² where PV is the present value of the expected cash flows. ECF1 is the expected cash flow to be received one year from now. ECF2 is the expected cash flow to be received two years from now, i is the interest rate. Let's substitute the values we know into the formula: PV = (0.4 x $10,000) / (1 + 0.12) + (0.6 x $10,000) / (1 + 0.12)². PV = $4,000 / 1.12 + $6,000 / 1.2544PV = $3,571.43 + $4,482.48. PV = $9,053.91. Therefore, the present value of the expected cash flows is $9,053.91, rounded to two decimal places.

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Suppose that the monopolist can produce with total cost: TC=10Q. Assume that the monopolist sells its goods in two different markets separated by some distance. The demand curves in the first market and the second market are given by Q 1 =120−l 1 and Q 2 =240−4l 2 . Suppose that consumers can mail the product from cheaper location to a more expensive location at a certain cost. What would be the critical mailing cost above which consumers do not have such an incentive?
a. 15
b. 30
c. 20
d. 10

Answers

The  determine the critical mailing cost above which consumers do not have an incentive to mail the product, we need to compare the prices of the monopolist's goods in the two markets.

Let's assume that the monopolist sets the same price in both markets. In that case, the price of the good in the first market would be P1 = 120 - Q1 and the price in the second market would be P2 = 240 - 4Q2.If consumers can mail the product from the cheaper location (first market) to the more expensive location (second market) at a cost, they would do so as long as the price difference between the two markets exceeds the mailing cost.So, the critical mailing cost would be the price difference between the two markets: P2 - P1.

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"
answer 1,2 and 3 please
thank you!
1) Disequilibrium profit theories are represented by a combination of and 2 Points rapid decline in growth; no increase in costs rapid decline in revenues; rapid increase in costs slow decline in reve
"

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Disequilibrium profit theories provide insights into the dynamics of imbalanced profit structures and the potential challenges they present to a company's financial well-being.

By understanding these theories, businesses can identify the underlying causes of profit disequilibrium and take appropriate measures to restore stability and improve their profitability.

Disequilibrium profit theories are characterized by a combination of factors such as a rapid decline in growth accompanied by no increase in costs, a rapid decline in revenues coupled with a rapid increase in costs, and a slow decline in revenue. These theories highlight the imbalances that can occur within a company's profit structure and the potential consequences they can have on its financial stability.

Disequilibrium profit theories examine situations where a company experiences a lack of balance between its revenue and cost structures, leading to an unstable profit situation. One scenario described by these theories involves a rapid decline in growth without a corresponding increase in costs. In this case, the company may be facing declining demand or market saturation, resulting in a shrinking customer base and reduced sales. However, if the company's costs remain constant or do not decrease proportionately, it can lead to a decline in profitability.

Another scenario associated with disequilibrium profit theories involves a rapid decline in revenues accompanied by a rapid increase in costs. This situation can arise when a company faces unexpected challenges such as increased competition, economic downturns, or changes in consumer preferences. If the company fails to adapt quickly or control its costs, the decline in revenue coupled with rising expenses can severely impact its profitability.

Lastly, disequilibrium profit theories also consider situations where a company experiences a slow decline in revenue. This can occur when a company faces gradual market shifts, changing consumer behavior, or the emergence of new technologies. Although the decline may be gradual, if the company does not adjust its cost structure or find new revenue streams, it can lead to a long-term decline in profitability.

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if the economy has a cyclically adjusted budget surplus, this means that:

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If the economy has a cyclically adjusted budget surplus, it means the budget is in surplus after accounting for economic fluctuations, indicating a sustainable surplus regardless of the state of the economy.

If the economy has a cyclically adjusted budget surplus, it means that its budget is in surplus even after adjusting for the economic cycle. The cyclically adjusted budget is a method of calculating the government's budget balance after accounting for fluctuations in the economy. This measure eliminates the effects of the business cycle, which can create budget deficits during recessions and surpluses during boom times.

A cyclically adjusted budget surplus occurs when the government's budget is in surplus even when the economy is at full employment. This means that the government is collecting more revenue than it spends, regardless of the state of the economy. In general, a budget surplus is viewed as a positive development, as it indicates that the government is able to balance its books and potentially pay down debt. However, a cyclically adjusted budget surplus can be more significant, as it indicates that the surplus is not just the result of a strong economy, but rather reflects a sustainable budget position that can weather economic downturns.

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Funny in Farsi by Firoozeh Dumas

Have you been in a situation where cultural tradition took you by surprise or made you uncomfortable? How did you handle it? Write a minimum of 200 words and do a peer response.

Answers

Yes, I have been in a situation where cultural tradition took me by surprise. When I was traveling in Japan, I went to a traditional Japanese inn where I was served a dinner of raw fish. I was surprised and felt uncomfortable because I had never eaten raw fish before. However, I didn't want to offend my hosts, so I tried it and found that it was actually quite delicious. I learned that it's important to be open to new experiences, even if they are unfamiliar or uncomfortable at first.

Peer response: I can relate to your experience. When I was studying abroad in South Korea, I was invited to a traditional Korean wedding. The wedding ceremony was very different from what I was used to, and I felt uncomfortable because I didn't know what was expected of me. However, I tried to be respectful and follow the customs as best I could. I learned that it's important to be open to new experiences and to respect other cultures, even if they are unfamiliar to us.

An annuity-immediate makes payments of $10 per year for 10 years. An annuity-due that makes 12 annual payments of X has the same present value as the annuity-immediate. The annual effective interest rate is 8%. Calculate X. A 7.07 B 7.63 C 8.24 D 8.90 E 9.62

Answers

The value of X, the annual payment for the annuity-due, that has the same present value as the annuity-immediate with payments of $10 per year for 10 years, at an annual effective interest rate of 8%, is approximately $7.63.

To find the value of X for the annuity-due, we need to calculate the present value of both annuities and set them equal to each other.

For the annuity-immediate, the present value can be calculated using the formula:

Present Value = Payment × (1 - (1 + i)^(-n)) / i

where Payment is $10, i is the interest rate (8% or 0.08), and n is the number of years (10).

For the annuity-due, the present value can be calculated similarly, but we need to account for the fact that the payments occur at the beginning of each year. So, we multiply the annuity-immediate present value by (1 + i) to convert it to an annuity-due.

Setting the two present values equal to each other, we can solve for

X: $10 × (1 - (1 + 0.08)^(-10)) / 0.08 = X × (1 + 0.08) × (1 - (1 + 0.08)^(-12)) / 0.08

Solving this equation, we find that X is approximately $7.63.

Therefore, the correct answer is B: $7.63.

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An investment project has an initial cost of $60,000 and expected cash inflows of $12,500 , $17,800 , $21,600 , and $25,800 over years 1 to 4, respectively. If the required rate of return is 8 percent, what is the net present value?

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The net present value is $5,456.25.NPV is used in capital budgeting and investment planning to analyze the profitability of a projected investment or project.

The net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over a period of time. The formula for calculating NPV is:

NPV = (CF₁ / (1 + r)¹) + (CF₂ / (1 + r)²) + … + (CFₙ / (1 + r)ⁿ) - Initial Investment

Where:

CF₁, CF₂, …, CFₙ are cash inflows in periods 1 through n.

r is the discount rate.

n is the number of periods.

Initial Investment is the initial cost of the investment.

In this case, the initial cost of the investment is $60,000 and the cash inflows are $12,500, $17,800, $21,600 and $25,800 over years 1 to 4 respectively. The required rate of return is 8%. Therefore:

NPV = (-$60,000 / (1 + 0.08)⁰) + ($12,500 / (1 + 0.08)¹) + ($17,800 / (1 + 0.08)²) + ($21,600 / (1 + 0.08)³) + ($25,800 / (1 + 0.08)⁴)

NPV = -$60,000 + $11,574.07 + $15,972.22 + $17,997.10 + $19,912.86

NPV = $5,456.25. Therefore, the net present value is $5,456.25.

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Kansas Enterprises purchased equipment for $74,500 on January 1, 2021. The equipment is expected to have a five-you with a residual value of $7,950 at the end of five years. Using the straight-line method, the book value at December 31, 2021, would be: Multiple Choice O $53,240. $61,190. $53,240. $61,190. $66,550. $59,600.

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Kansas Enterprises purchased equipment for $74,500 on January 1, 2021. The equipment is expected to have a five-year life with a residual value of $7,950 at the end of five years. Using the straight-line method, the book value on December 31, 2021, would be $67,560.

Straight-line method: This is a method of computing the depreciation of an asset by dividing its original cost, less its estimated salvage value, by the number of years or periods it is expected to be used. The result is an annual depreciation expense that is constant throughout the life of the asset. In this method, the book value of the asset decreases in a straight line, which is where it gets its name.

Book value: This is an accounting term that refers to the value of an asset on a company's balance sheet. It is calculated by subtracting accumulated depreciation from the original cost of the asset. Book value is often used in financial ratios, such as return on assets (ROA) and price-to-book ratio (P/B ratio).

Calculation of Depreciation: Depreciation expense = (Cost of asset - Residual value) / Useful lifeDepreciation expense = ($74,500 - $7,950) / 5 years.

Depreciation expense = $13,310.

Book value at December 31, 2021: Depreciation expense for 2021 = $13,310

Book value at January 1, 2021 = Cost of asset - Accumulated depreciation= $74,500 - $0= $74,500.

Book value on December 31, 2021 = Book value on January 1, 2021 - Depreciation expense for 2021= $74,500 - $13,310= $61,190.

Therefore, the book value on December 31, 2021, would be $61,190.

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Torre Corporation incurred the following transactions. 1. Purchased raw materials on account $46,300. 2. Raw materials of $36,000 were requisitioned to the factory. An analysis of the materials requisition slips indicated that $6,800 was classified as indirect materials. 3. Factory labor costs incurred were $55,900, of which $51,000 pertained to factory wages payable and $4,900 pertained to employer payroll taxes payable. 4. Time tickets indicated that $50,000 was direct labor and $5,900 was indirect labor. 5. Manufacturing overhead costs incurred on account were $80,500. 6. Depreciation on the company's office building was $8,100. 7. Manufacturing overhead was applied at the rate of 150% of direct labor cost. 8. Goods costing $88,000 were completed and transferred to finished goods. 9. Finished goods costing $75,000 to manufacture were sold on account for $103,000. Instructions Journalize the transactions. (Omit explanations.)

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Torre Corporation's transactions include purchases of raw materials, labor costs, overhead expenses, depreciation, completion of goods, and the sale of finished goods, which need to be journalized accordingly

1. Purchased raw materials on account $46,300.

Raw Materials Inventory (debit) - $46,300

Accounts Payable (credit) - $46,300

2. Raw materials of $36,000 were requisitioned to the factory.

Work in Process Inventory (debit) - $36,000

Raw Materials Inventory (credit) - $36,000

3. Factory labor costs incurred were $55,900, including wages payable and employer payroll taxes payable.

Factory Wages Payable (debit) - $51,000

Employer Payroll Taxes Payable (debit) - $4,900

Factory Labor (credit) - $55,900

4. Time tickets indicated that $50,000 was direct labor and $5,900 was indirect labor.

Work in Process Inventory (debit) - $50,000

Manufacturing Overhead (debit) - $5,900

Factory Labor (credit) - $55,900

5. Manufacturing overhead costs incurred on account were $80,500.

Manufacturing Overhead (debit) - $80,500

Accounts Payable (credit) - $80,500

6. Depreciation on the company's office building was $8,100.

Depreciation Expense (debit) - $8,100

Accumulated Depreciation - Office Building (credit) - $8,100

7. Manufacturing overhead was applied at 150% of direct labor cost.

Work in Process Inventory (debit) - $75,000

Manufacturing Overhead (debit) - $75,000

Factory Labor (credit) - $50,000

8. Goods costing $88,000 were completed and transferred to finished goods.

Finished Goods Inventory (debit) - $88,000

Work in Process Inventory (credit) - $88,000

9. Finished goods costing $75,000 were sold on account for $103,000.

Accounts Receivable (debit) - $103,000

Sales (credit) - $103,000

Cost of Goods Sold (debit) - $75,000

Finished Goods Inventory (credit) - $75,000

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Frankie is struggling to pay his monthly rent and he goes to PayDay Loan down the street to take out a 2-week loan in order to get through the next several weeks before his May 15 th paycheck. Identify the APR on the loan. a. Frankie is offered a $800 two-week loan at . 45% interest. Identify the APR on this loan and what will Frankie have to pay back on May 16 th?

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To calculate the Annual Percentage Rate (APR) on the loan, we need to consider the interest rate, loan amount, and loan term. In this case, Frankie is offered an $800 two-week loan at a 45% interest rate.

To find the APR, we can use the following formula:

APR = (Interest / Loan Amount) * (365 / Loan Term)

Let's calculate the APR:

APR = (45% / $800) * (365 / 14)

APR = (0.45 / $800) * 26.0714

APR = 0.0005625 * 26.0714

APR = 0.014637075

APR ≈ 0.0146 (or 1.46%)

Therefore, the APR on this loan is approximately 1.46%.

To calculate how much Frankie will have to pay back on May 16th, we need to consider the loan amount and the interest. In this case, Frankie borrowed $800.

Interest = Loan Amount * Interest Rate

Interest = $800 * 0.45

Interest = $360

Therefore, on May 16th, Frankie will have to pay back the loan amount of $800 plus the interest of $360, resulting in a total repayment of $1,160.

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You have gathered the following vehicle costs: a. Calculate the annusl variable and fixed costs of the vehicle. b. Compute the operoting cost per mile. Complete this question by entering your answers in the tabs below. Caiculate the annual variable and fixed cots of the vehicie. Note: Do not round intermediate caicuiations. Round answer to nearest whole number.

Answers

When you have gathered the vehicle costs, to calculate the operating cost per mile, annual variable, and fixed costs of a vehicle, we need specific cost information.

To determine the annual variable and fixed costs of a vehicle, we need specific cost data, such as fuel expenses, maintenance and repair costs, insurance fees, and depreciation. Fixed costs typically include insurance premiums and vehicle registration fees, while variable costs consist of fuel costs and maintenance expenses that increase with mileage. By analyzing the costs over a specific period, we can separate them into fixed and variable components.

Once the costs are identified, the operating cost per mile can be calculated by dividing the total costs by the number of miles driven. This provides an estimation of the average cost incurred for each mile traveled.

However, without the specific cost details, it is not possible to generate accurate calculations for the annual variable and fixed costs or the operating cost per mile. To determine these values, you would need to gather the necessary cost information related to the vehicle's operation and maintenance.

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the aggregate demand curve is downward-sloping partly due to the _______ relationship between the price level and _______. Me Dowel Indusines sels on terms of3/0. net 30. Total sales for the vear are 3 900.000.Forty percent of the customers pay on the 10" day and take discounts; the other 60 percentday. on average. 40 davs after their purchases.a) What is the days sales outstanding?B)what is the average amount or receivable?C) What would happen to average receivable if McDowell toughened up on its collection policy win the result that all non-discount customers paid on the 30th day?McDowell Industries sells on terms of 3/10. net 30. Total sales for the year are $ 900.000.Forty percent of the customers pay on the 10 day and take discounts; the other 60 percentpavy on average. 40 days after their purchases.a) What is the days sales outstanding?What IS the average amount or receivable!?What would happen to average receivable if McDowel toughened up on its collection policy with the result that all non-discount customers paid on the 30th day? The cone is now inverted again such that the liquid rests on the flat circular surface of the cone as shown below. Find, in terms of h, an expression for d, the distance of the liquid surface from the top of the cone. Choose a quality tool to diagnose the problems below and support your decision.An airline manufacturing company needs to ensure their employees are all properly certified in their jobs. Ten positions have been created and filled with people to meet this need. Each position is responsible for an aspect in the process (e.g. wings, fuselage, landing gear, etc.) Inspections for certification have shown great variation between the manufacturing areas in percentage of workers with up-to-date certifications. point a is at (2,-8) and point c is at (-4,7) find the coordinates of point b on \overline{ac} ac start overline, a, c, end overline such that the ratio of ababa, b to bcbcb, c is 2:12:12, colon, 1. The challenge for the future of the European Union is to:have unified industrial and commercial policies.absorb its eastern neighbors.have common custom duties.be able to manufacture high-quality, low-cost goods. Consider the integral equation:f(t)- 32e-9t= 15tsen(t-u)f(u)duBy applying the Laplace transform to both sides of the above equation, it is obtained that the numerator of the function F(s) is of the form(as + as+ao) (s+1)where F(s) = L {f(t)}Find the value of a0 Attempt this question in groups Axion Transport is a Malawian company which is involved in the trucking business and in addition it operates buses and luxury coaches around the country. The Company prepares its accounts to 31 December each year. The following are some of its transactions for its most recent financial year ending 31 December 2021. Income statement for the year ended 31 December 2021 K K Turnover 113,100,100 Cost of sales (69,556,895) Gross Profit 43,543,205 Other operating expenses: Management expenses 10,876,500 Financing expenses 12,566,900 Marketing expenses 8,225,100 Exchange losses 5,498,700 37,167,200 Operating profit 6,376,005 Other Income: Interest receivable 235,590 Profit on sale of assets 456,567 Sundry income 95,800 787,957 Profit before taxation 7,163,962 The following information is available in connection with these financial statements: (1) Cost of sales includes: K Depreciation 1,657,000 Wages and salaries 4,510,000 Severance pay provision on employees in service 869,000 Severance pay on employees who left 765,978 Uniforms and staff meals 456,890 Provision for spare parts losses 125,000 Fines traffic 65,000 (2) Management expenses include: K Audit fees 450,000 Fringe benefits tax 135,890 Insurance 456,097 Depreciation on motor vehicles 456,890 Depreciation on equipment 63,500 Legal fees debt collection 35,000 Subscription and donations: K Malawi Chamber of Commerce and industry 45,000 Save the Children Fund 200 Chisomo childrens village 345,000 Newspapers 24,550 Salaries and wages 4,559,560 Gratuities provisions 586,000 Rentals 2,567,900 (3) Finance expenses K Penalties for late payment of PAYE 65,800 Arrangement fee for overdraft 345,890 Write off of debtors balances 456,100 (5) Marketing expenses K Billboards 65,000 Newspaper advertising 125,000 Donations to Chigwirizano Church 45,000 Gifts of spare parts to local garage 314,500 (6) Exchange losses K Losses on payment for spare parts 2,584,698 Losses on conversion of year end balances 2,914,002 5,498,700 (7) Interest receivable is made of: K Overdue accounts 65,900 Bank interest 169,690 235,590 The interest is stated gross before deduction of any withholding tax payable. (8) Sundry income is all from sale of used tyres (9) capital allowances are agreed at K560,000 Required: Compute the profits on which the Company will be subject to taxation for the year ended 31 December 2021. (c) Calculate the tax payable by the Company for the year ended 31 December 2021 Which of the following metaphors would your authors consider "transformative'?a conflict is a balancing actb conflict is a trialc conflict is ward conflict is a dancee conflict is a struggle Budget can be very effective As a tool to assess blame when costs are too high When used to evaluate a manager's performance when they are equally effective in all situations. When it is created by top management Ceteris paribus, when discouraged workers become more hopeful about their job prospects and begin actively searching for employment, a.the official unemployment rate will increase. b.the official unemployment rate will increase. c.the official unemployment rate will remain unchanged. d.the official unemployment rate could increase or decrease. e.the official unemployment rate will decrease. Describe in detail the two Dividend Discount Models (Constant Growth, Nonconstant Growth). The entry to recognize depreciation expense incurred on equipment involves which of the following? Multiple Choice An increase in liabilities An increase in assets A decrease in assets A decrease in liabilities i=1 For each of integers n 0, let P(n) be the statement ni 2=n2n+2 +2. (a) i. Write P(0). ii. Determine if P(0) is true. (b) Write P(k). (c) Write P(k+1). (d) Show by mathematical induction that P(n) is true. Consider a zero-sum 2-player normal form game given by the matrix -3 5 3 10 A = 7 8 4 5 4 -1 2 3 for player Alice and the matrix B= -A for the player Bob. In the setting of pure strategies: (a) State explicitly the security level function for Alice and the security level function for Bob. (b) Determine a saddle point of the zero-sum game stated above. (c) Show that this saddle point (from (2)) is a Nash equilibrium. This farmer in Emerald, NE is planning to harvest 50,000 bushels of corn in the fall, and she estimates her break-even price is $5.50/bu. This break-even price includes his cost of production plus extra funds she needs to pay bills and make long-overdue investments in the farm. Actually, she would welcome some extra money as well, in which case she could make additional investments in the farm that are not too urgent but could be made now if there are funds available.She is trying to decide whether she should:sell all bushels now with futures contracts and/or forward contracts,sell a portion of the bushels now with futures contracts and/or forward contracts, and the remaining bushels later, orsell nothing now.She wants to deliver her grain sometime in November, and the grain elevator in her local cash market is offering a forward contract for November 2022 delivery at $5.60/bu. If she prefers to use the futures market, she can hedge her grain with the corn futures contract for December 2022 delivery, which is trading at $6.07/bu. The size of the futures contract is 5,000 bushels and initial margin is $1,650/contract (which is the same as the maintenance margin). Which of the following costs are most likely to be classified as fixed?a) Shipping costsb) Sales commissionsc) Direct labord) Direct materialse) Property taxes In what ways did the great exhibition both cater to and ignore the needs of factory workers? The total number of issues of a magazine that are sold is known as Given the following set of ordered pairs: [4] f={(-2,3), (-1, 1), (0, 0), (1,-1), (2,-3)} g = {(-3,1),(-1,-2), (0, 2), (2, 2), (3, 1)) a) State (f+g)(x) b) State (f+g)(x) c) Find (fog)(3) d) Find (gof)(-2)