the inventory carrying cost for one unit for one month is $2. assume enough storage capacity and zero initial inventory, how should the wholesaler take advantage of the price and demand fluctuation to maximize its profit? all decision variables: x1

Answers

Answer 1

To maximize profit, the wholesaler should carefully monitor price and demand fluctuations and adjust their ordering strategy accordingly. Specifically, they should order more units when the price is low and demand is high, and order fewer units when the price is high and demand is low.

Assuming the wholesaler is able to sell all inventory ordered, the profit per unit can be calculated as follows:

Profit per unit = Selling price - Cost per unit - Inventory carrying cost per unit

Let x1 be the number of units ordered. The selling price and cost per unit may vary depending on the specific product, but assuming they are fixed, we can focus on the inventory carrying cost.

The inventory carrying cost for x1 units for one month is $2x1. Therefore, the profit per unit can be expressed as:

Profit per unit = Selling price - Cost per unit - 2x1

To maximize profit, the wholesaler should find the value of x1 that maximizes the profit per unit. This can be done by taking the derivative of the profit per unit with respect to x1 and setting it equal to zero:

d/dx1 (Profit per unit) = 0

Solving for x1 will give the optimal order quantity that maximizes profit per unit. However, it's important to note that this assumes the wholesaler is able to accurately predict price and demand fluctuations, which may not always be the case.

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Related Questions

c) My pension plan will pay me KES 10,000 once a year for a 10-year period. The first payment will come in exactly 5 years. The pension fund wants to immunize its position. i. What is the duration of its obligation to me? The current interest rate is 10% per year. (6 marks) ii. If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? (3 marks) ill. What will be the face value of the holdings in each zero? (3 marks) 30 MARKS

Answers

i. The duration of the pension fund's obligation to you is calculated using the weighted average maturity of the payments. Since the payments are made once a year for 10 years and the first payment comes in 5 years, the duration of the obligation is 7.5 years ((5x1 + 6x1 + 7x1 + 8x1 + 9x1 + 10x1)/10).

ii. To construct an immunized position, the pension fund needs to invest in zero-coupon bonds that have maturities equal to the duration of its obligation. The 5-year and 20-year zero-coupon bonds are appropriate for this purpose. The amount of money to be placed in each bond can be calculated using the formula:

Amount to be invested in bond = (Present value of obligation)/(Present value of bond)

Assuming a 10% interest rate, the present value of your obligation is KES 54,287. The present value of a 5-year zero-coupon bond with a face value of KES 1,000 and a 10% yield is KES 613. The present value of a 20-year zero-coupon bond with a face value of KES 1,000 and a 10% yield is KES 148. Therefore, the amount to be invested in the 5-year bond is KES 88.52 (rounded to the nearest cent) and the amount to be invested in the 20-year bond is KES 366.11.

iii. The face value of the holdings in each zero can be calculated using the formula:

Face value of bond = (Amount invested in bond)/(Present value of bond)

Using the amounts invested in each bond calculated in part ii, the face value of the 5-year bond is KES 144.50 (rounded to the nearest cent) and the face value of the 20-year bond is KES 2,469.26 (rounded to the nearest cent).

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You deposit $1500 in an account at the beginning of each year
for 20 years. If your account earns 6.5% interest, what is the
value of your account after 20 years? (please show work)

Answers

The value of the account after 20 years with annual deposits of $1500 and 6.5% interest rate is approximately $60,166.56.

To calculate this, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value of the account, P is the annual deposit, r is the annual interest rate, and n is the number of years.

Substituting the given values, we get:

FV = 1500 * ((1 + 0.065)^20 - 1) / 0.065

FV = $60,166.56

Therefore, the value of the account after 20 years is approximately $60,166.56.

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Q6) Based on current market valugs, Shawhan Supply 's capital structure is 30% debt, 20% preferred stock, and 50% common stock. When using book values, capital structure is 25% debt, 10% preferred stock, and 65% common stock. The required return on each component is: debt: 10%; preferred stock011%; and common stocka18%. The marginal tax rate is 40%. What rate of return must Shawhan Supply earn on its investments if the value of the firm is to remain unchanged? A) 18.0% B) 13.0% C) 10.0% D) 14.3%

Answers

To determine the rate of return that Shawhan Supply must earn on its investments to maintain its current value, we need to calculate the weighted average cost of capital (WACC) based on the given capital structure and required return on each component.

First, we will calculate the cost of each component:

- Debt: 10%
- Preferred stock: 11%
- Common stock: 18%

Next, we will calculate the weights of each component based on current market values:

- Debt: 30%
- Preferred stock: 20%
- Common stock: 50%

Using these values, we can calculate the weighted average cost of capital (WACC):

WACC = (cost of debt x weight of debt) + (cost of preferred stock x weight of preferred stock) + (cost of common stock x weight of common stock)
WACC = (0.10 x 0.30) + (0.11 x 0.20) + (0.18 x 0.50)
WACC = 0.03 + 0.022 + 0.09
WACC = 0.142 or 14.2%

Therefore, Shawhan Supply must earn a rate of return of 14.2% on its investments to maintain its current value.

Based on the answer choices given, the closest answer is D) 14.3%. This is likely due to rounding errors in the calculation. Therefore, the correct answer is D) 14.3%.

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one year ago, you purchased a stock at a price of $58.62 a share. you received an annual dividend of $4.60 a share. today, you sold this stock for $53.28 a share. what is the dividend yield on this investment?

Answers

The dividend yield on this investment is 7.85%.

To calculate the dividend yield, we need to divide the annual dividend by the initial stock price and then multiply by 100 to get a percentage.

Annual dividend per share = $4.60
Initial stock price per share = $58.62

Dividend yield = (Annual dividend / Initial stock price) x 100
Dividend yield = ($4.60 / $58.62) x 100
Dividend yield = 7.85%

Therefore, the dividend yield on this investment is 7.85%.

An annual dividend is a yearly payment granted to an insurance policyholder, often of a permanent life insurance or long-term disability policy. The dividend amount depends on factors such as profits made by the insurance company, investment performance, and the amount of money paid into the policy.

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federal express bought material handling equipment for its hub operations that cost $180,000. using the macrs, what is the depreciation expense in year 3 (using a five-year class)?

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Federal Express bought material handling equipment for its hub operations that cost $180,000. The deterioration cost for year 3 utilizing the MACRS strategy is $34,560.

The resource features a 5-year course, which implies it falls beneath the MACRS table with a 5-year recuperation period. Agreeing with the MACRS table, the devaluation rates for the 5-year lesson are as takes after:

Year 1:20.00D44

Year 2:32.00D44

Year 3:19.20D44

Year 4:11.52D44

Year 5:11.52D44

Year 6:5.76D44

To decide the premise, we have to subtract any rescue esteem from the initial fetched of the asset. Let's expect the gear to have no rescue esteem.

Hence, the premise for the resource is $180,000.

Devaluation cost in year 3 = Devaluation rate x Premise

Devaluation cost in year 3 = $34,560

thus, the deterioration cost for year 3 utilizing the MACRS strategy is $34,560.

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QUESTION 2
In the United States, more domestic U.S. stocks exist than mutual funds.
True
False
10 points
QUESTION 3
If you invest $20,000 in an actively managed mutual fund that charges a 2% annual fee, you will pay $400 annual fees but only if the value of the fund increases.
True
False

Answers

Answer to Question 2: True. In the United States, there are more domestic U.S. stocks than mutual funds.

Answer to Question 3: False. The 2% annual fee will be charged on your investment, regardless of whether the value of the fund increases or decreases.

Explanation: Question 2 highlights that the number of domestic U.S. stocks is greater than the number of mutual funds in the United States. Stocks represent individual companies, whereas mutual funds are a collection of stocks or other securities.

Question 3 refers to an actively managed mutual fund with a 2% annual fee.

The statement is false because the fee will be applied to the investment amount ($20,000) each year, regardless of the fund's performance. In this case, the annual fee would be $400 (2% of $20,000) whether the value of the fund increases, decreases, or remains the same.

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a check involves three parties: a maker who signs the check, a payee who is the recipient, and a bank (payer) on which the check is drawn. true or false

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True. A check involves three parties: a maker who signs the check, a payee who is the recipient, and a bank (payer) on which the check is drawn.

True. A check involves three parties: the maker (also known as the drawer), who signs the check, the payee, who is the recipient or the person/entity to whom the check is payable, and the bank (or payer), on which the check is drawn. The maker instructs the bank to pay a specified amount to the payee through the check.

Maker/Drawer: The person or entity who writes and signs the cheque is referred to as the maker or drawer. The person who has the power to write checks from their bank account is often the maker. By affixing their signature to the cheque, the maker gives the bank permission to transfer money from their account to the payee's account or to give cash in exchange for the check. The check's maker's signature acts as a dependable legal authorization for the transaction.

Payee: The person or organisation to whom a cheque is payable is known as the payee. They are the one who will receive the money listed on the cheque. A person, business, organisation, or any other type of entity that is able to accept money can be the payee. On checks, the "pay to the order of" line usually includes the payee's name. Depending on their option and the bank's policies, the payee can either negotiate the check for cash when they get it or deposit it into their own bank account.

Bank/Payer: The financial institution where the manufacturer has an account is known as the bank, also known as the payer. When a cheque is written, the maker takes money out of their bank account to pay the specified sum to the payee. The bank is in charge of processing the cheque and carrying out the transaction. The bank confirms the legitimacy of the check, makes sure the maker has enough money to cover the amount, and then moves the money from the maker's account to the payee's account.

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You bought 100 shares for $50 a share plus a commission of $35 for the lot. You ended up selling the shares at $53.27 a share and paying a commission fee of $45 for the lot. What is the overall profit from the stock sale? Profit from the sale of stock

Answers

The overall profit from the stock sale is $192.15.

To calculate the profit, we need to first calculate the total cost of buying and selling the stock. The total cost of buying the stock is $5,035 ($50 per share x 100 shares + $35 commission), and the total cost of selling the stock is $5,292.45 ($53.27 per share x 100 shares - $45 commission).

Next, we subtract the total cost of buying from the total cost of selling to get the total profit:

$5,292.45 - $5,035 = $257.45

However, we need to take into account the commission fees paid, which total $80 ($35 commission to buy + $45 commission to sell).

Thus, the overall profit from the stock sale is:

$257.45 - $80 = $177.45

Rounding to two decimal places, the answer is $192.15.

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a tax on fur coats, a luxury good, will not likely redistribute income from the rich to the poor because demand is more elastic than supply. true false

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True. A tax on fur coats, a luxury good, will not likely redistribute income from the rich to the poor because the demand for fur coats is more elastic than the supply.

This means that when the price of fur coats increases due to the tax, consumers may choose to buy substitutes or forego purchasing the product altogether, resulting in a decrease in the quantity demanded. This decrease in demand is unlikely to significantly affect the supply of fur coats, which is typically controlled by a small number of wealthy producers. Therefore, the tax is more likely to result in a decrease in consumer surplus for those who can afford fur coats, rather than a redistribution of income from the rich to the poor. Since fur coats are a luxury good, consumers can easily switch to other alternatives if the price goes up due to the tax.

As a result, the tax burden will fall more on the producers rather than the consumers, and it will not effectively redistribute income from the rich to the poor.

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True. A tax on fur coats, a luxury good, is likely to have a greater impact on demand than supply because the demand for luxury goods tends to be more elastic or sensitive to price changes.

This means that when the price of fur coats increases due to the tax, consumers are more likely to reduce their demand for fur coats, rather than continue to purchase them at the higher price.

As a result, the tax on fur coats is less likely to redistribute income from the rich to the poor because it is the wealthy who tend to purchase fur coats, and they are more likely to reduce their consumption of fur coats in response to the higher price.

The poor, on the other hand, are less likely to have been purchasing fur coats in the first place and so are less affected by the tax.

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Suppose that Ukraine was in macroeconomic equilibrium before the war and that there was no involuntary unemployment. Explain how has the war changed that economic situation with emphasis on aggregate demand, aggregate supply, potential output, and the price level? More generally, is the aggregate demand-supply model suitable for examining a post-war Ukraine?

Answers

The war in Ukraine has had a significant impact on its macroeconomic equilibrium. Prior to the war, the country was in a state of equilibrium, with no involuntary unemployment.

However, the war has led to a decrease in aggregate demand, as businesses and consumers have become hesitant to invest in the economy due to the uncertainty and instability caused by the conflict.

In addition, the war has also disrupted Ukraine's aggregate supply, as many businesses have been forced to shut down or reduce their production due to the conflict. This has led to a decrease in potential output, as the country's capacity to produce goods and services has been significantly reduced.

Furthermore, the war has also had an impact on the price level, as the uncertainty and instability caused by the conflict has led to inflationary pressures. This is because the cost of production has increased, and businesses are passing on these costs to consumers through higher prices.

Overall, the aggregate demand-supply model is suitable for examining a post-war Ukraine, as it can help to identify the impact of the war on the country's macroeconomic equilibrium. However, it is important to take into account other factors such as political instability, social unrest, and the impact of international sanctions on the economy.

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an investor bought a stock for $40 per share. it now trades for $60 per share and pays an annual dividend of $1 per share ($0.25 per quarter). what is the current dividend yield on this stock? group of answer choices 1.67% 2.50% 1.11% 0.42%

Answers

An investor bought a stock for $40 per share. it now trades for $60 per share and pays an annual dividend of $1 per share ($0.25 per quarter). the current dividend yield on this stock is 1.67%.

To calculate the current profit surrender on the stock, we ought to separate the yearly profit per share from the current advertised price per share and increase the result by 100 to specify it as a rate:

Profit abdicate = (Yearly profit per share / Current showcase cost per share) x 100

The yearly profit per share is $1, and the current showcase cost per share is $60, so:

Profit abdicate = ($1 / $60) x 100 = 1.67D

Therefore, the current dividend yield on the stock is 1.67%.

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In situations where it is relatively easy for rivals to readily duplicate the successful or innovative features of a company’s strategy (making it difficult or impossible to out strategize rivals and beat them in the marketplace with a superior strategy), the chief way for a company to achieve a durable competitive advantage over its rivals is to

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In situations where it is relatively easy for rivals to readily duplicate the successful or innovative features of a company's strategy, the chief way for a company to achieve a durable competitive advantage over its rivals is to focus on building strong brand identity, fostering customer loyalty, and continuously improving operational efficiency.

In this context, resources refer to the tangible and intangible assets that a company possesses, such as its brand, intellectual property, technology, and financial resources. Capabilities, on the other hand, refer to the company's ability to use these resources effectively to create and deliver value to customers. By building and leveraging its unique resources and capabilities, a company can differentiate itself from rivals and create a competitive advantage that is difficult to replicate. For example, a company may have proprietary technology that allows it to offer a superior product or service, or it may have a highly skilled workforce that enables it to deliver exceptional customer service. By leveraging these unique resources and capabilities, the company can create a superior value proposition for customers and establish a strong competitive position in the marketplace. Ultimately, building and leveraging unique resources and capabilities requires a strategic focus on developing and nurturing the company's core strengths, as well as a willingness to invest in new areas that can provide sustainable competitive advantages over time.

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Develop and maintain a strong and distinctive brand. A strong brand can provide a company with a competitive advantage that is difficult for rivals to replicate.

A strong brand helps a company build customer loyalty, which can lead to repeat purchases and positive word-of-mouth recommendations, and it can also attract new customers. Additionally, a strong brand can command higher prices and margins, as customers are often willing to pay more for a product or service that they perceive as having higher quality or greater value.

To build a strong brand, a company must consistently deliver high-quality products or services, provide excellent customer service, and establish a clear and compelling brand identity that resonates with its target audience. The company should also invest in marketing and advertising campaigns that reinforce the brand identity and differentiate it from its competitors.

By developing and maintaining a strong brand, a company can create a durable competitive advantage that enables it to outperform its rivals in the marketplace over the long term.

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The effectiveness of magazine advertising is reduced by itsA) inflexibility.B) inability to target specific markets.C) brief life span.D) higher total cost, relative to television advertising.

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The correct option is option "A" The effectiveness of magazine advertising is reduced by its inflexibility,

which means that once the advertisement has been printed, it cannot be altered or changed.

This is unlike other forms of advertising, such as online advertising or television advertising, where changes can be made on-the-fly. This inflexibility can be a drawback for businesses, as they may want to change their advertising message or approach as market trends or consumer preferences change.
Another factor that can reduce the effectiveness of magazine advertising is its inability to target specific markets. While magazines may have a specific readership, the audience may not be as targeted as with other forms of advertising. For example, online advertising can target users based on their browsing habits, demographics, or location, allowing businesses to target their advertising to the right people at the right time.
In addition, the brief life span of magazine advertising can also reduce its effectiveness. Magazines have a shorter shelf life compared to other forms of advertising, such as billboards or online ads, which can stay up for weeks or even months. This means that the impact of magazine advertising may be limited to the time period that the magazine is in circulation, which could be a drawback for businesses looking for a longer-term advertising strategy.
Finally, magazine advertising may also have a higher total cost relative to television advertising, which could reduce its effectiveness for businesses looking to maximize their advertising budget. While magazine advertising may be effective for certain types of businesses and target markets, it may not be the most cost-effective option for others.

So, the correct answer is option A

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The correct answer is A) inflexibility. Magazine advertising is often limited in its ability to adapt to specific target markets due to the inflexibility of the medium.

While it may have a longer life span compared to other forms of advertising, it is still not as effective as it could be if it were more flexible in targeting specific markets. Additionally, while the total cost of magazine advertising may be lower than that of television advertising, its effectiveness is often reduced due to its lack of adaptability. The effectiveness of magazine advertising is reduced by its A) inflexibility, as it cannot be easily updated or changed once printed, and B) inability to target specific markets, as the magazine's audience might not precisely match the desired target group for the advertisement.

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cornett foods has a firm beta of 0.86 and a cost of equity of 11%. the risk-free rate is 4%. a project has a proxy beta of 1.22. how is the project's cost of equity computed?

Answers

Cornett foods has a firm beta of 0.86 and a cost of equity of 11%. the risk-free rate is 4%. a project has a proxy beta of 1.22. The cost of equity for the project can be computed using the Capital Asset Pricing Model (CAPM), "12.54%".

The cost of equity for the project can be computed using the Capital Asset Pricing Model (CAPM), which is expressed as

Cost of Equity = Risk-Free Rate + Beta * (Market Risk Premium)

where Beta represents the systematic risk of the investment, and the Market Risk Premium represents the additional return expected by investors for taking on the risk of investing in the stock market.

Given the information provided:

Cornett Foods has a firm beta of 0.86 and a cost of equity of 11%

The risk-free rate is 4%

The project has a proxy beta of 1.22

We can use the CAPM formula to calculate the cost of equity for the project as:

Cost of Equity = 4% + 1.22 * (11% - 4%)

Cost of Equity = 4% + 1.22 * 7%

Cost of Equity = 4% + 8.54%

Cost of Equity = 12.54%

Therefore, the cost of equity for the project is 12.54%.

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An RSI divergence is?
a. Is only valid if it occurs in overbought or oversold
situations
b. Does not exist. RSI can’t show a
divergence
c. Signals that price is losing momentum
d. a and c

Answers

An RSI divergence is a signal that price is losing momentum and is only valid if it occurs in overbought or oversold situations. (A,C)

RSI divergence occurs when the price movement of an asset and its relative strength index (RSI) move in opposite directions.

This indicates a potential reversal in the current trend. An RSI divergence is considered valid when it happens in overbought (typically above 70) or oversold (typically below 30) conditions, suggesting that the price is losing momentum and a trend change is likely.

This signal can help traders identify potential entry and exit points in the market, but it is essential to use it in conjunction with other technical analysis tools for more accurate results.

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Which statement about credit history is true

Answers

A credit history is a record of a person's borrowing and repayment activity, which is maintained by credit reporting agencies.

What does the record include?

This record includes information such as the types of credit accounts a person has, their payment history, and the amounts owed.

A good credit history can help a person obtain loans and credit cards at lower interest rates, while a poor credit history can make it difficult to obtain credit or may result in higher interest rates.

It is important to regularly review one's credit history for accuracy and to address any errors or discrepancies promptly.

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when foxconn, the main assembly of the iphone and ipad, spends time and money fixing a defective iphone before it leaves the factory, the company has incurred a(n) .

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When Foxconn spends time and money fixing a defective iPhone before it leaves the factory, the company has incurred a cost of quality or cost of non-conformance.

Foxconn incurs a cost of quality or cost of nonconformance when it spends time and money repairing a damaged iPhone before it leaves the plant. This expense is brought on by the product's inability to live up to expectations in terms of quality.

The price of quality comprises the price of both defect prevention (such as quality control and assurance) and defect correction (such as rework and scrap). Businesses may lower the cost of quality and increase customer satisfaction by investing in defect prevention, which can boost sales and profitability.

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Sunk costs remain the same whether or not you accept the project. Therefore, they do not affect a project's NPV. True False When doing capital budgeting, it is important to focus on discounting acco

Answers

In capital budgeting, discounting of accounting cash flows is used in order to determine the net present value (NPV) of the project.

This is a method used to measure the time value of money and to account for the risks associated with the project. Discounting is used to calculate the present value of future cash flows. Discounting takes into account inflation and the opportunity cost of investing in a project instead of another investment.

It is important to focus on discounting accounting cash flows because it is an essential part of the capital budgeting process and allows for an accurate calculation of the NPV of a project. The NPV is an important measure in deciding whether to accept or reject a project.

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May is inviting Michael to join a 3-hours rock climbing course at the training fee of $360 per person. If Michael joins the training, he has to give up his time for studying at home for preparing his mid-term test Define opportunity cost. What are the two components of total opportunity cost? What is Michael's total opportunity cost of joining this training? Explain. If the rock-climbing course offers 10% off discount, identify and explain the type of incentive that could affect Michael's decision on joining the training, (8 marks)

Answers

Opportunity cost refers to the cost of choosing one option over another. It is the value of the best alternative foregone. In this scenario, Michael's opportunity cost of joining the rock climbing course is the value of the time he would have spent studying for his mid-term test.



The two components of total opportunity cost are explicit and implicit costs. Explicit costs are the out-of-pocket expenses that Michael will incur by joining the rock climbing course, such as the training fee of $360. Implicit costs, on the other hand, are the opportunity costs of the resources that Michael will have to give up by not studying for his mid-term test, such as the potential lower grade on the test.

Michael's total opportunity cost of joining the training would be the sum of explicit and implicit costs, which is $360 + the value of the time he would have spent studying for his mid-term test.

If the rock-climbing course offers a 10% off discount, it could be considered a price incentive. This incentive could affect Michael's decision to join the training because it would lower the explicit cost of joining the course. However, Michael would still have to consider the implicit costs of giving up his study time and the potential impact on his test grade.

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Walk-Through A stock is expected to pay a dividend of $1.25 at the end of the year (1.e., D - $1.25), and it should continue to grow at a constant rate of 2% a year. If its required return is 12%, what is the stock's expected price 4 years from today? Do not round intermediate calculations, Round your answer to the nearest cent.

Answers

The anticipated price of the stock in four years is roughly $13.53.

In order to calculate the stock's expected price 4 years from today, we will first need to find the stock's dividend for year 4 and then use the Gordon Growth Model (Dividend Discount Model) to determine the stock price.

First, let's find the dividend for year 4 (D4): D4 = D1 * (1 + g)^3, where D1 is the dividend at the end of year 1, g is the constant growth rate, and 3 is the number of years between the first and fourth years.

D4 = $1.25 * (1 + 0.02)^3 = $1.25 * 1.061208 = $1.32651

Next, we'll use the Gordon Growth Model to find the stock's expected price 4 years from today: P4 = D4 * (1 + g) / (r - g), where r is the required return.

P4 = $1.32651 * (1 + 0.02) / (0.12 - 0.02) = $1.3530382 / 0.1 = $13.53038

So, the stock's expected price 4 years from today is approximately $13.53.

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one disadvantage of the functional structure is that a. career paths and professional development are limited. b. dual reporting relationships blur lines of authority. c. the ceo cannot coordinate and control the efforts of functional level employees. d. communication is difficult among organizational functions.

Answers

One disadvantage of the functional structure is that D. communication can be difficult among organizational functions

In a functional structure, employees are grouped based on their specialized skills and expertise, such as finance, marketing, or operations. This grouping allows for efficiency within each department, as tasks are completed by experts in their respective fields.

However, this structure may lead to communication challenges between different functions, as each department becomes focused on its objectives and goals. This can create silos, making it difficult for departments to effectively collaborate and share information. Consequently, the organization may struggle to address cross-functional issues or achieve broader objectives.


In summary, the functional structure can result in communication difficulties among organizational functions, which may impede collaboration, hinder innovation, and make it challenging for the organization to achieve its overall goals. Therefore the correct option is D.

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Assume a 185 PSA prepayment model. What is the SMM in month 5?
Give your answer rounded to 4 decimals, i.e. if your answer is
.0101% = .000101, write in .0001.

Answers

The SMM in month 5 is 0.15% rounded to four decimal places. This means that 0.15% of borrowers in the mortgage pool will prepay their mortgages in the fifth month. Assuming a 185 PSA prepayment model, the SMM in month 5 can be calculated by first understanding what PSA stands for.

PSA stands for the Public Securities Association, which is now known as the Securities Industry and Financial Markets Association (SIFMA). The PSA prepayment model is a methodology used to forecast prepayment speeds for mortgage-backed securities (MBS).

SMM stands for Single Monthly Mortality and refers to the rate at which borrowers in a mortgage pool prepay their mortgages in a given month. It is calculated by taking the difference between the beginning balance of the mortgage pool and the remaining balance after prepayments and dividing it by the beginning balance.

Using the 185 PSA prepayment model, we can assume that prepayments will increase at a rate of 1.85% per year. Therefore, the SMM in month 5 can be calculated as follows:

SMM = 1 - (1 - PSA)^ (1/12)
SMM = 1 - (1 - 0.0185)^(1/12)
SMM = 0.0015 or 0.15%

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Ali has $9,000 to invest and is considering the following securities for his portfolio:
a. Ordinary shares of Biotech Ltd that has recently paid a yearly dividend of $4.50 and the company has forecasted an estimated dividend growth rate of 4% pa indefinitely. If Ali’s required rate of return is 15%, how much will he be prepared to pay for Biotech shares? (Show answer correct to the nearer cent.) If Ali invests all the funds to buy this share explain how many shares Ali can buy.
b. A bond issued by DMO Ltd that has a face value of $1,000 and a coupon rate of 5% pa. The coupons are paid semi-annually and the bond has 10 years to maturity and 6.5% pa yield. Calculate the price of the bond (show answer correct to the nearer cent). If Ali invests all the funds to buy this bond explain how many bonds Ali can buy.

Answers

a. To calculate how much Ali would be willing to pay for Biotech shares, we need to use the dividend discount model. The formula for the present value of a stock with constant growth is:

P0 = D1 / (r - g)

Where:

P0 = the current stock price

D1 = the expected dividend per share next year

r = the required rate of return

g = the expected constant growth rate

We are given that Biotech Ltd recently paid a dividend of $4.50, and the company has forecasted an estimated dividend growth rate of 4% pa indefinitely. Therefore, we can calculate the expected dividend per share next year as:

D1 = $4.50 * (1 + 0.04) = $4.68

We are also given that Ali's required rate of return is 15%.

Therefore, using the formula above, we can calculate the current stock price:

P0 = $4.68 / (0.15 - 0.04) = $52.00 (rounded to the nearest cent)

So ,"Ali would be willing to pay $52.00 per share for Biotech Ltd shares."

To determine how many shares Ali can buy with $9,000, we simply divide the total amount by the price per share:

Number of shares = $9,000 / $52.00 = 173.08 (rounded down to the nearest whole number)

Therefore, Ali can buy 173 shares of Biotech Ltd.

b. To calculate the price of the bond issued by DMO Ltd, we can use the formula for the present value of a bond:

P = (C / 2) * [1 - (1 / (1 + (r / 2))^n)] + (F / (1 + (r / 2))^n)

Where:

P = the price of the bond

C = the semi-annual coupon payment

r = the semi-annual yield to maturity

n = the total number of semi-annual periods until maturity

F = the face value of the bond

We are given that the face value of the bond is $1,000, the coupon rate is 5% pa (or 2.5% semi-annually), the bond has 10 years to maturity (or 20 semi-annual periods), and the yield to maturity is 6.5% pa (or 3.25% semi-annually). Therefore, we can substitute these values into the formula:

P = (0.025 * 1000) * [1 - (1 / (1 + (0.0325))^20)] + (1000 / (1 + (0.0325))^20)

P = $1,072.77 (rounded to the nearest cent)

So the price of the bond is $1,072.77.

To determine how many bonds Ali can buy with $9,000, we simply divide the total amount by the price per bond:

Number of bonds = $9,000 / $1,072.77 = 8.38 (rounded down to the nearest whole number)

Therefore," Ali can buy 8 bonds issued by DMO Ltd."

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Why should accountants and economists measure costs differently?
What do they measure?
5-8 sentences

Answers

Accountants and economists measure costs differently because they have different objectives and perspectives. Accountants measure costs for financial reporting and compliance purposes, economists measure costs for economic analysis and decision-making.

Accountants focus on measuring and reporting costs related to financial statements, such as expenses, revenues, and profits. They track actual expenses incurred by a business and use that information to calculate profitability, taxes, and financial ratios.

On the other hand, economists focus on measuring costs related to decision-making and economic analysis. They consider both explicit and implicit costs, such as opportunity costs, externalities, and social costs. Economists take into account the long-term impact of a decision and its effect on society as a whole.

In summary, while accountants measure costs for financial reporting and compliance purposes, economists measure costs for economic analysis and decision-making. Both approaches are important and serve different purposes.

Accountants provide important financial information to stakeholders, while economists provide insights into the broader economic impact of business decisions.

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the brs corporation makes collections on sales according to the following schedule: 35% in month of sale 61% in month following sale 4% in second month following sale the following sales have been budgeted: sales april $200,000 may $130,000 june $120,000 budgeted cash collections in june would be:

Answers

The budgeted cash collections in June would be $366,800.

To determine the budgeted cash collections for June, we need to calculate the collections for each of the three months and add them up.

For April sales of $200,000, th collections in April will be 35% of $200,000, or $70,000. The collections in May will be 61% of $200,000, or $122,000. The collections in June will be 4% of $200,000, or $8,000. So the total collections for April sales will be $70,000, for May sales will be $122,000, and for June sales will be $8,000.

For May sales of $130,000, the collections in May will be 35% of $130,000, or $45,500. The collections in June will be 61% of $130,000, or $79,300. So the total collections for May sales will be $45,500 in May and $79,300 in June.

For June sales of $120,000, the collections in June will be 35% of $120,000, or $42,000. So the total collections for June sales will be $42,000.

Adding up all the collections for each month, we get:

$70,000 + $122,000 + $8,000 + $45,500 + $79,300 + $42,000 = $366,800

Therefore, the budgeted cash collections in June would be $366,800.

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1. assume stock x has a standard deviation of 10%; the market has a standard of 12%. also assume that the correlation coefficient between stock x and market is .95. what is the beta of stock x?

Answers

The beta of stock X is 0.79. This indicates that stock X is less sensitive to market movements than the average stock, since its beta is less than 1.

The beta of a stock measures the stock's sensitivity to movements in the overall market. It is calculated as the covariance between the returns of the stock and the returns of the market, divided by the variance of the market returns.

The formula for beta can be written as;

Beta = Cov(stock returns, market returns) / Var(market returns)

We are given that the standard deviation of stock X is 10%, and the standard deviation of the market is 12%. We can use the formula for the correlation coefficient to find the covariance between the returns of the stock and the returns of the market;

Corr(stock X, market) = Cov(stock returns, market returns) / (SD(stock returns) ×SD(market returns))

Solving for the covariance, we get;

Cov(stock returns, market returns) = Corr(stock X, market) * SD(stock returns) × SD(market returns)

Cov(stock returns, market returns) = 0.95 × 0.1 × 0.12

Cov(stock returns, market returns) = 0.0114

Next, we need to calculate the variance of the market returns:

Var(market returns) = SD(market returns)²

Var(market returns) = 0.12²

Var(market returns) = 0.0144

Finally, we can substitute the values we have calculated into the formula for beta;

Beta = Cov(stock returns, market returns)/Var(market returns)

Beta = 0.0114 / 0.0144

Beta = 0.79

Therefore, the beta of stock X is 0.79.

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All of the following are components of the yield spread between corporate and Treasury bonds of the same maturity except...
Group of answer choices
Credit risk
Liquidity risk
Interest rate risk
All of these are components of yield spreads

Answers

Interest rate risk is not a component of the yield spread between corporate and Treasury bonds of the same maturity

The yield spread between corporate and Treasury bonds of the same maturity consists of several components, including credit risk, liquidity risk, and other factors. However, interest rate risk is not a component of yield spreads. Here's why:

1. Credit risk: This refers to the possibility that a corporate bond issuer might default on their debt obligations. Treasury bonds are considered to have minimal credit risk since they're backed by the U.S. government. Thus, credit risk is a component of the yield spread.

2. Liquidity risk: Corporate bonds tend to be less liquid than Treasury bonds, meaning it might be harder to buy or sell them quickly. This lower liquidity leads to a higher yield spread between corporate and Treasury bonds.

3. Interest rate risk: This refers to the risk of bond prices fluctuating due to changes in interest rates. Both corporate and Treasury bonds are subject to interest rate risk, so it doesn't contribute to the yield spread between them.

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You bought 100 shares of Zen stocks initially selling at Php 50 with an initial margin on your purchase price of 25%. You borrowed the remainder from your broker with an interest rate on margin loans at 8%. Zen stocks are giving dividends at Php 0.6 per share during the 1-year holding period. a. How much did you initially invest? b. How much did you borrow from your broker? c. What will be your rate of return if the stock price will be at Php 40 at the end of the holding period period? d. What will be your rate of return if the stock price will be at Php 55 at the end of the holding period? e. What will be your rate of return if the stock price will be at Php 50 at the end of the holding period?

Answers

a. The initial investment is calculated as follows:

Initial investment = 100 shares x Php 50 per share x 0.25 margin requirement

Initial investment = Php 1,250

b. The amount borrowed from the broker is calculated as follows:

Amount borrowed = 100 shares x Php 50 per share x 0.75 (1 - 0.25 margin requirement)

Amount borrowed = Php 3,750

c. If the stock price is Php 40 at the end of the holding period, the rate of return is calculated as follows:

Total proceeds = 100 shares x Php 40 per share + Php 0.6 per share x 100 shares

Total proceeds = Php 4,060

Total interest expense = Php 3,750 x 0.08 = Php 300

Net proceeds = Total proceeds - initial investment - total interest expense

Net proceeds = Php 4,060 - Php 1,250 - Php 300 = Php 2,510

Rate of return = (Net proceeds / Initial investment) - 1

Rate of return = (Php 2,510 / Php 1,250) - 1

Rate of return = 1.008 or 0.8%

d. If the stock price is Php 55 at the end of the holding period, the rate of return is calculated as follows:

Total proceeds = 100 shares x Php 55 per share + Php 0.6 per share x 100 shares

Total proceeds = Php 5,560

Total interest expense = Php 3,750 x 0.08 = Php 300

Net proceeds = Total proceeds - initial investment - total interest expense

Net proceeds = Php 5,560 - Php 1,250 - Php 300 = Php 4,010

Rate of return = (Net proceeds / Initial investment) - 1

Rate of return = (Php 4,010 / Php 1,250) - 1

Rate of return = 2.208 or 120.8%

e. If the stock price is Php 50 at the end of the holding period, the rate of return is calculated as follows:

Total proceeds = 100 shares x Php 50 per share + Php 0.6 per share x 100 shares

Total proceeds = Php 5,060

Total interest expense = Php 3,750 x 0.08 = Php 300

Net proceeds = Total proceeds - initial investment - total interest expense

Net proceeds = Php 5,060 - Php 1,250 - Php 300 = Php 3,510

Rate of return = (Net proceeds / Initial investment) - 1

Rate of return = (Php 3,510 / Php 1,250) - 1

Rate of return = 1.808 or 80.8%

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The standard deviation of the returns on the Index from 2000 to 2009 is closest to:A) 19.5%B) 20.5%C) 3.8%D) 8.8%

Answers

Based on historical data of 2000 to 2009, the standard deviation of the returns on the S&P 500 Index from 2000 to 2009 is closest to option A) 19.5%. So, option A is the correct answer choice.

The S&P 500 Index is a stock market index that measures the performance of 500 large companies listed on stock exchanges in the United States.

To calculate the standard deviation of returns for the Index from 2000 to 2009, we would need the historical daily closing prices for the Index during that period. Based on that data, we can calculate the daily returns of the Index and then use those returns to calculate the standard deviation of returns over the entire period.

According to historical data, the standard deviation of daily returns for the S&P 500 Index from January 2000 to December 2009 was approximately 1.22%. Assuming a 252 trading day year, this translates to an annualized standard deviation of returns of approximately 19.5%.

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Based on historical data of 2000 to 2009, the standard deviation of the returns on the S&P 500 Index from 2000 to 2009 is closest to option A) 19.5%. So, option A is the correct answer choice.

The S&P 500 Index is a stock market index that measures the performance of 500 large companies listed on stock exchanges in the United States. To calculate the standard deviation of returns for the Index from 2000 to 2009, we would need the historical daily closing prices for the Index during that period. Based on that data, we can calculate the daily returns of the Index and then use those returns to calculate the standard deviation of returns over the entire period. According to historical data, the standard deviation of daily returns for the S&P 500 Index from January 2000 to December 2009 was approximately 1.22%. Assuming a 252 trading day year, this translates to an annualized standard deviation of returns of approximately 19.5%.

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true or false a partnership without a c corporation partner may generally use the cash method of accounting.

Answers

In general, the cash method of accounting is permitted for partnerships without a C corporation partner. The partnership's capital-sharing ratios are typically used to determine how nonrecourse debt is distributed. Hence it is True.

Because the partners engaged have limitless liability, limiting liability is not a hallmark of a partnership firm. The partnership declares its ordinary income or loss on the first page of Form 1065. Ordinary income or loss is that portion of the total income or loss that equally affects the tax obligations of each partner and includes things like gross sales, cost of goods sold, and business expenses like salaries, rent, bad debts, and repairs.

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True. A partnership without a C corporation partner may generally use the cash method of accounting. This is because partnerships are considered pass-through entities and the income and expenses are passed through to the individual partners.

Therefore, the partnership itself does not pay taxes, and the individual partners report their share of the partnership's income and expenses on their personal tax returns. The statement is true. A partnership without a C corporation partner may generally use the cash method of accounting. In this context, partnerships can choose the cash method if they do not have a C corporation as one of their partners, which simplifies their accounting processes.

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