A. Use the Black-Scholes formula to find the value of a call option on the following stock: Time to expiration = 6 months Standard deviation = 50% per year Exercise price = $50 Stock price = $50 Interest rate = 10%
B. Find the Black-Scholes value of a put option on the stock in the previous part with the same exercise price and expiration as the call option

Answers

Answer 1

A. The Black-Scholes formula can be used to find the value of a call option on a stock given certain inputs such as time to expiration, standard deviation, exercise price, stock price, and interest rate.


Using the given inputs of time to expiration = 6 months, standard deviation = 50% per year, exercise price = $50, stock price = $50, and interest rate = 10%, the value of the call option can be calculated as follows:
d1 = [ln(S/X) + (r + σ^2/2)t]/(σ√t)
= [ln(50/50) + (0.1 + 0.5^2/2)0.5]/(0.5√0.5)
= 0.7906

d2 = d1 - σ√t
= 0.7906 - (0.5√0.5)
= 0.5013

N(d1) = 0.7881 (from the standard normal distribution table)
N(d2) = 0.6915 (from the standard normal distribution table)

Call option value = S*N(d1) - X*e^(-rt)*N(d2)
= $50*0.7881 - $50*e^(-0.1*0.5)*0.6915
= $20.79



In part A, the Black-Scholes formula is used to calculate the value of a call option on a stock. The formula takes into account several variables, including the stock price, exercise price, time to expiration, standard deviation, and interest rate. The formula is used to calculate two values, d1 and d2, which are then used to calculate the value of the call option.

In part B, the same inputs are used as in part A, but the Black-Scholes formula is used to calculate the value of a put option instead of a call option. The formula for calculating the value of a put option is similar to that for a call option, but with some slight differences in the variables used.
A. To find the value of a call option using the Black-Scholes formula, we need to input the given parameters:
Call option value = C = S * N(d1) - X * e^(-rT) * N(d2)

1. Calculate d1 and d2 using the formulas:
  d1 = (ln(S/X) + (r + (σ^2)/2) * T) / (σ * sqrt(T))
  d2 = d1 - σ * sqrt(T)

2. Find the values of N(d1) and N(d2) using the standard normal cumulative distribution function.

3. Plug the values into the Black-Scholes formula and calculate the call option value.

B. To find the value of a put option using the Black-Scholes formula, we use the same parameters as the call option:
Put option value = P = X * e^(-rT) * N(-d2) - S * N(-d1)


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Related Questions

Completing the Free Application for Federal Student Aid (FAFSA) application
can:
OA. point you toward many different forms of financial aid.
B. identify your future earnings.
C. identify relevant career paths for you.
O
O
D. guarantee that you will get a loan to meet your financial needs.

Answers

Answer: A

Explanation: FAFSA is used to show the government various things about your life and income so they can see what scholarships/grants/aid can be given to you!

The Free Application for Federal Student Aid (FAFSA) application can point you toward many different forms of financial aid. The correct option is (A).

What do you mean by Free Application for Federal Student Aid?

The official application for federal financial help to cover college costs is the Free Application for Federal Student Aid, or FAFSA. Many states, certain colleges, and universities also use it when deciding who gets financial help.

According to the data gathered from the application, the FAFSA specifically decides who will receive aid in the form of loans, scholarships, and grants.

Information from the FAFSA is also used by states, certain colleges and institutions, and private scholarship programmed to determine financial aid choices.

All of these types of aid are accessible through the FAFSA, which is handled by the Office of Federal Student Aid.

Therefore, the Free Application for Federal Student Aid (FAFSA) application can point you toward many different forms of financial aid.

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What type of event is an agent conducting when they present plan information that includes benefits and cost sharing in an audience-presenter format

Answers

A marketing/sales event is the type of event conducted by an agent when they present plan information that includes benefits and cost sharing in an audience-presenter format.

What is a marketing/sales event?

This event is a kind of promotional event that involves planning, organizing and executing for the purpose of promoting a brand, product, or service.

The marketing or sales event is one that can take place in-person or online, and the companies can either host an event, attend as an exhibitor, or participate as a sponsor.

Hence, these event are the type of event conducted by an agent when they present plan information that includes benefits and cost sharing in an audience-presenter format.

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When flow rate goes up but wages per unit of time stay the same, how are costs of direct labor affected?

Answers

When flow rate goes up but wages per unit of time stay the same, the costs of direct labor affected by decreasing.

What is Direct labor costs ?

Direct labor costs  can be regarded as the wages or salaries that is been paid to employees who physically produce products.

It should be noted that these expenses are the costs paid to workers that are responsible for the products that manufactured and sold.

In this case, When flow rate goes up but wages per unit of time stay the same, the costs of direct labor affected by decreasing.

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If a seller facing excess demand is unable to raise the price of the good due to a price ceiling, a likely result will be:

Answers

A likely result will be a decrease in the quality of a product.

The fee ceiling is a state of affairs while the price charged is greater than or less than the equilibrium fee decided with the aid of market forces of demand and deliver. It's been found that higher price ceilings are useless. price ceiling has been discovered to be of extraordinary importance within the residence rent marketplace.

A price ceiling is a legal maximum rate that one will pay for some good or carrier. A government imposes rate ceilings as a good way to preserve the price of some necessary precise or services low-cost. as an example, in 2005 at some stage after Hurricane Katrina, the price of bottled water expanded above $five according to the gallon.

A rate ceiling continues a fee from growing above a sure level (the “ceiling”), even as a fee ground continues a rate from falling underneath a given degree (the “ground”). This phase uses the call for and delivers a framework to research price ceilings. the following section discusses rate flooring.

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Power Drive Corporation designs and produces a line of golf equipment and golf apparel. Power Drive has 100,000 shares of common stock outstanding as of the beginning of 2024. Power Drive has the following transactions affecting stockholders' equity in 2024.
March 1 Issues 63,000 additional shares of $1 par value common stock for $60 per share.
May 10 Purchases 5,800 shares of treasury stock for $63 per share.
June 1 Declares a cash dividend of $1.90 per share to all stockholders of record on June 15. (Hint: Dividends are not paid on treasury stock.)
July 1 Pays the cash dividend declared on June 1.
October 21 Resells 2,900 shares of treasury stock purchased on May 10 for $68 per share.
Power Drive Corporation has the following beginning balances in its stockholders' equity accounts on January 1, 2024: Common Stock, $100,000; Additional Paid-in Capital, $5,300,000; and Retained Earnings, $2,800,000. Net income for the year ended December 31, 2024, is $680,000.
Required:
Prepare the stockholders' equity section of the balance sheet for Power Drive Corporation as of December 31, 2024.

Answers

The preparation of the stockholders' equity section of the balance sheet for Power Drive Corporation as of December 31, 2024, is as follows:

Power Drive Corporation

Stockholders' Equity Section

As of December 31, 2024

Common Stock, 163,000 shares at $1 par value  $163,000

Treasury Stock, 2,900 shares at $1 par value          (2,900)

Additional Paid-in Capital                                      8,851,700

Retained Earnings                                                 3,081,400

Total equity                                                       $12,093,200

Data and Calculations:

Beginning balances in stockholders' equity accounts on January 1, 2024:

Common Stock, $100,000

Additional Paid-in Capital, $5,300,000

Retained Earnings, $2,800,000

Net income for the year ended December 31, 2024, = $680,000

Transaction Analysis:

March 1 Cash $3,780,000 Common Stock $63,000 Additional Paid-in Capital $3,717,000

May 10 Treasury Stock $5,800 Additional Paid-in Capital $359,600 Cash $365,400

June 1 Cash dividend $398,600 ($1.90 x 157,200) Dividends Payable $398,600

July 1 Dividends Payable $398,600 Cash $398,600

October 21 Cash $197,200 Treasury Stock $2,900 Additional Paid-in Capital $194,300

Summary Accounts

Retained Earnings Statement:

Beginning balance $2,800,000

Net income                  680,000

Dividends                    (398,600)

Ending balance       $3,081,400

Common Stock:

Beginning balance    $100,000

March 1 Cash                 63,000

Ending balance         $163,000

Additional Paid-in Capital,

Beginning balance  $5,300,000

March 1 Cash               3,717,000

May 10 Cash                (359,600)

Oct. 21  Cash                 194,300

Ending balance       $8,851,700

Treasury Stock:

May 10 Cash                $5,800

Oct. 21  Cash                (2,900)

Ending balance          $2,900

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Flatter organizations today often reassign an employee to a new job at the same level, which is known as a(n)?

Answers

It is known as lateral transfer.

A transfer is a horizontal or lateral movement of a person from one job, section, department, shift, plant, or position to another in the same or another location with the same wage, status, and responsibilities.

A lateral move is a job movement in which a person transfers from one position to the another with minimal change in compensation, title, or level. However, even if you do not receive a promotion, a lateral transfer does not guarantee that one will not gain the new experiences or develop new abilities.

Therefore, the answer is lateral transfer.

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If in some year nominal gdp was $28 trillion and real gdp was $32 trillion, what was the gdp deflator?

Answers

Here the GDP deflator is 87.5.

Given that in some year nominal GDP was $28 trillion and real GDP was $32 trillion.

GDP Deflator = [tex]\frac{Nominal GDP}{Real GDP}[/tex] × 100

GDP Deflator = [tex]\frac{28}{32}[/tex] × 100

GDP Deflator = 87.5

The price level of all domestically produced final products and services in an economy is measured by the GDP deflator. It is also known as the Implicit Price Deflator or the GDP Price Deflator. It represents changes in the economy's average price level. As a result, along with the Consumer Price Index, it is frequently used by economists and policymakers as a gauge of inflation.

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The texas general land office is accused of mishandling funds earmarked for hurricane relief and recovery. who is responsible for investigating?

Answers

The Texas general land office is accused of mishandling funds earmarked for hurricane relief and recovery. The governor is responsible for investigating .

The governor is responsible for investigating because only the governor can call a special session . The governor also gets to set the agenda for the session as well.

The General land office has the responsibility to administer funds in the event of natural disasters like Hurricanes. They are also responsible to provide aid for long term as an disastrous event can displace people for months.

The Texas general land office through the community development and revitalization division works to rebuild communities by putting texas back in homes , restoring infrastructure and preventing future damage through planning.

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An insurance company requires homeowners it insures to have smoke detectors in their homes. The insurance company is trying to combat the

Answers

Insurance companies require homeowners to install smoke detectors in their homes. Insurance companies try to address the issue of moral hazard.

Option (C) is correct.

State Farm is the top auto insurer in the nation based on market share and premiums, followed by Geico, Progressive, and Allstate at $44/month. The cheapest local company is Farm Bureau for $39/month.

Insurance companies are financial intermediaries that provide direct insurance or reinsurance services and provide financial protection against potential future risks.

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Your question is incomplete. please read below to find the full content.

An insurance company requires homeowners it insures to have smoke detectors in their homes. The insurance company is trying to combat the

adverse selection problem.

the free-rider effect.

moral hazard problem.

"lemons" problem.

none of the above

If the price of hockey pucks goes up from $7.99 to $14.99, what can be expected from suppliers of hockey pucks as a result?

Answers

If the price of hockey pucks increase, the supplier of hockey pucks would increase the quantity supplied of hockey pucks.

What happens when the price of hockey pucks increase?

The law of supply states that when the price of a good increases, the quantity supplied increases and when price falls, the quantity supplied falls. This shows that price and quantity supplied are positively related. This is the reason why the supply curve is positively sloped.

So, when the price of hockey pucks increase, the quantity supplied increases also.

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Which form of promotion is most suitable to promote complex and technical products such as automobiles, computers, and investment services

Answers

The form of promotion that would work for technical products like automobiles is b. Informative promotion.

What is informative promotion?

This is where features of the good being advertised are elaborated on to ensure the viewer understands the product's functionality.

This is useful for technical products like computers and cars as there is a need for customers to know what makes them better.

Options for this question include:

a. Persuasive promotion

b. Informative promotion

c. Connective promotion

d. Reminder promotion

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How could jim get the views of employees who may have left the company due to perceptions of discrimination or unequal treatment?

Answers

Jim could get the views of employees who may have left the company due to perceptions of discrimination or unequal treatment by contacting them. For contacting the employees who have left the company due to perceptions of discrimination or unequal treatment Jim should first find out details of those people like phone number and email address.

After finding out the details, he should contact them and ask what is their reason to leave the company and if they feel discrimination or unequal treatment practice in company and if yes why they feel so. If they give confirmation regarding the same then Jim should talk to the current employees and find out how it happen and who practices this in firm.

After knowing the issue Jim should take appropriate steps to discard this practice from the organization.

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Help ASAP please
Which of the following is NOT a financial​ intermediary?
A.
a savings and loan association
B.
commercial banks
C.
the Federal Reserve Bank of New York
D.
the Internal Revenue Service

Answers

An option listed that is not considered to be a financial intermediary is D. the Internal Revenue Service.

What are financial intermediaries?

These are companies that transfer money from the savings of people and companies, to those who need them as loans and investments.

These include commercial banks and savings associations. The Fed is also an intermediary as they regulate banks. The IRS is not a financial intermediary.

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In its annual time use study in 2017, the bls found that the average adult spends __________ per day on unpaid work.

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In its annual time use study in 2017, the BLS found that the average adult spends 2.4 hours per day on unpaid work.

An American government organization called the Bureau of Labor Statistics (BLS) is in charge of gathering and disseminating a variety of economic and employment data.

The Consumer Price Index (CPI) and Producer Price Index are two important inflation indicators produced by the BLS (PPI).

The BLS also generates regional and national statistics on wages, productivity, labor force participation, and employment.

The BLS, a division of the U.S. Department of Labor (DOL), is responsible for collecting, compiling, and publishing a variety of statistical data on the labor market, pricing, and productivity.

The figures this government agency generates are among the most important economic indicators for the American economy, and it goes to considerable pains to ensure the accuracy, impartiality, and accessibility of its reports.

Hence, in its annual time use study in 2017, the BLS found that the average adult spends 2.4 hours per day on unpaid work.

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Point x on a linear production possibilities curve represents a combination of 50 watches and 20 clocks, and point y represents 20 watches and 80 clocks. Suppose, clocks are on the vertical axis and watches are on the horizontal axis. The opportunity cost of producing one watch is:

Answers

Based on the coordinates of point x and those of point y on the linear production possibilities curve, the opportunity cost of producing one watch is 2 fewer clocks.

What is the opportunity cost of producing one watch?

The opportunity cost of producing one watch is the number of clocks that needs to be given up per watch.

This will therefore be the slope of the linear production possibilities curve which can be found as:

= (Y₂ - Y₁) / (X₂ - X₁)

Solving gives:

= (80 - 20) / (20 - 50)

= 60 / -20

= -2 clocks

This means that for every watch produced, there will be 2 clocks that will be foregone to make that watch.

In conclusion, the opportunity cost is 2 clocks.

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Limitations of expansionary domestic macroeconomic policy due to a shortage of international currency reserves is known as the ______.

Answers

Limitations of expansionary domestic macroeconomic policy due to a shortage of international currency reserves is known as the stagflation.

What is stagflation

Stagflation is a period of growth that is very slow.

It is characterized by a season of unemployment when an individual does not have access to desired Job.

It can also lead to shortage of international currency reserve as a result of low trade or business transaction. There is rising prices in goods and services purchased and very high standards of Living.

Therefore, Limitations of expansionary domestic macroeconomic policy due to a shortage of international currency reserves is known as the stagflation

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A customer purchases on credit for $1,250 worth of merchandise, terms 4/15, n/30. If the customer pays within the discount window, how much will they remit in cash to the seller

Answers

They will remit in $1200 to the seller.

Credit Sales

Credit sales are transactions in which the debt will be paid in full at a later time. In other words, credit sales are transactions when the consumer does not pay in whole, in cash, at the time of the transaction.

Cash sales, credit sales, and advance payment sales are the three basic types of sales transactions. The timing of when cash is received is the only distinction between these sales transactions.

1. Sales made in cash: When a transaction is made and the customer receives their goods or services, cash is collected.

2. Credit sales: After the sale is made, the customer has a certain amount of time to pay the vendor.

3. Sales involving advance payments: Buyers pay the vendor in full before closing the deal.

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When the price of gasoline decreses, brad buys more gasoline and more of all other goods. this information describes:_____.

Answers

When the price of gasoline decreases, brad buys more gasoline and more of all other goods. this information describes the real income effect of a price decrease.

The profits impact describes how the alternate in the charge of an awesome can change the quantity that purchasers will demand of that accurate and associated item, primarily based on how the fee change impacts their real income.

the cash earned with the aid of someone, company, authorities, etc. Over a particular period of time that is calculated through thinking of the impact of inflation on what can surely be sold with that cash: In common, an individual worker is increasing his or her real income by using much less than 1% at the present time.

A boom in real incomes will reason the call for items/offerings to boom (the extent to which relies upon the marginal propensity to eat). however, as the majority of united kingdom goods are imported, growth in the call for goods will increase the demand for imports.

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What might be the best corporate-level international strategy to pursue?

Answers

The transnational strategy is the best strategy.

While a global strategy may appear to be the ultimate goal, for many businesses, a transnational strategy that balances local responsiveness with global integration is the ideal option.

Transnational businesses have centralized operations in one country but extra international activities and assets. A transnational strategy establishes a brand's level of global integration and local response. Such a company attempts to strike a balance between the goal for efficiency and the necessity to adapt to local tastes in numerous locations.

Therefore, the best strategy is the transnational strategy that can be pursued.

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A nurse is providing teaching to a client has a new prescription of meta-pro lol soup connect which of the following should be of most concern to the nurse

Answers

The nurse should be of most concern regarding bilateral crackles in the lungs.

Bilateral crackles: what are they?

Bilateral crackles are defined as having crackles in both lungs. Crackles that appear to have their origins in or close to the base of the lung are called basal crackles. Bibasal crackles are defined as crackles in both the left and right lungs. The term "bilateral basal crackles" also describes the existence of basal crackles in both lungs.

Patients with interstitial lung disease, pneumonia, atelectasis, pulmonary fibrosis, acute bronchitis, bronchiectasis, acute respiratory distress syndrome (ARDS), post-thoracotomy, or metastatic ablation may hear crackles. Additionally, crackling might result from pulmonary edema brought on by left-sided congestive heart failure.

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If a company is using the indirect method to prepare the statement of cash flows, a decrease in the inventory account should be reported as:

Answers

If a company is using the indirect method to prepare the statement of cash flows, a decrease in the inventory account should be reported as a decrease in cash flows from operating activities.

An indirect method to prepare the statement of cash flowsThe statement of cash flows is prepared indirectly by adjusting net income for changes in balance sheet accounts in order to determine the amount of cash generated by operational activities.One of the parts of a firm's set of financial statements, the statement of cash flows, is used to show where a company gets its money from and what it does with it. It provides details on the cash generated by operations and the impact of various balance sheet modifications on a company's cash position.The indirect mode of presenting is particularly common since the data needed for it can be gathered rather quickly from the accounts that a company typically has in its chart of accounts.

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the table to the right gives the per unit cost data for shirt manufacturer in a competitive industry. if the market price is $4.95

Answers

The profit made from transactions is mathematically given as

Pr=$238.70

What is the profit made from transactions?

Generally, the equation for Profit is  mathematically given as

Pr= (P-ATC)* Q

Therefore

Pr=(9.97-6.87) * 77

Pr=$238.70

In conclusion, The profit made from transactions are

Pr=$238.70

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Which method in oil and gas accounting requires the cost of unsuccessful wells be expensed in the current period?

Answers

Successful-efforts accounting is the method that requires the cost of unsuccessful wells be expensed in the current period

What is the Successful-efforts accounting ?

The successful method accounting can be defined to be the type of accounting that is done which is known to allow a company to capitalize on the expenses that hey have made from being able to locate a new oil and gas reserves in a successful way.

Hence we can say that the Successful-efforts accounting is the method that requires the cost of unsuccessful wells be expensed in the current period

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You want to be able to withdraw $35,000 each year for 15 years. Your account earns 9% interest. a) How much do you need in your account at the beginning

Answers

Your interests are activities that you enjoy doing and subjects that you enjoy spending time learning. Are interest. When something interesting, it draws your attention and makes you want to learn more about it: less interesting was discussed.

Interest is the money paid to spend someone else's money. An interesting example is $ 20 in this year's savings account. An example of interest is the $ 2,000 paid on a mortgage this year.

Interest is paid for a lifetime but disappears upon death (especially from the property).

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Seller Martin is looking at his Closing Disclosure. Which one of the following items is he likely to see

Answers

Martin is likely to see credits and debits appear on the closing statement. since he is looking at his Closing Disclosure.

What is closing disclosure?

Closing disclosure is a document which gives full information about loan taken by an individual or institution.

In other words, closing disclosure provides final details about the mortgage loan you have selected.

Contents of closing disclosure are:

Loan feesInterest ratePurchase priceProjected payment

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As martin meets with people, he will continually look for new leads. What is the process by which martin will acquire new candidates from existing prospects or clients?

Answers

Strategic Prospecting is the process that  martin will acquire new candidates from existing prospects or clients.

What is strategic prospecting?

This is the term that is used to refer to the way that sales teams are able to identify the opportunities that are existent in sales and also how they are able to make use of these opportunities as they identify them.

In this case what has to do would be to create  a profile for the prospects of customers that he is interested in. Then he would have to  acquire new customers from existing prospects or clients. Hence the the process by which martin will acquire new candidates from existing prospects or clients is strategic prospecting

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A monopolistic competitor wishing to maximize profit will select a quantity where:.

Answers

The primary objective of a monopolistically competitive firm is to maximize profits by increasing revenues and minimizing the total costs of production. The profit maximizing level of output occurs where marginal revenue is equal to the marginal cost of production.

What is Profit Maximization?

Monopolistic competition is a market structure characterized by many firms selling differentiated products with some barriers to entry into the market.

The primary objective of a monopolistically competitive firm is to maximize profits by increasing revenues and minimizing the total costs of production. The profit maximizing level of output occurs where marginal revenue is equal to the marginal cost of production.

In Other Term, Profit maximization is a process business firms undergo to ensure the best output and price levels are achieved in order to maximize its returns.

Therefore, we can conclude that the correct option is A.

Your question is incomplete, but most probably your full question was:

A monopolistic competitor wishing to maximize profit will select a quantity where:

a) Marginal revenue equals marginal cost

b) Marginal cost equals demand

c) Marginal cost equals average cost

d) Marginal revenue equals average cost

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If the Accounts Receivable balance is $10 million less than the balance at the beginning of the year, then on the statement of cash flows (indirect method) $10 million should be ______. Multiple choice question. subtracted from investing activities added to investing activities added to net income subtracted from net income

Answers

$10 million should be added to net income.

What is Accounting?Accounting is the process of documenting a business's financial transactions. These transactions are compiled, examined, and reported to oversight organizations, regulatory bodies, and tax collection organizations as part of the accounting process. A company's operations, financial condition, and cash flows are summarized in the financial statements that are used in accounting. They provide a succinct summary of financial transactions across an accounting period. One of the most important aspects of practically every firm is accounting. Small businesses may have a bookkeeper or accountant manage it, whereas larger corporations may have vast finance departments with many people. Management can make wise business decisions thanks to the information produced by many streams of accounting, including cost accounting and managerial accounting.

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__________ is the requirement that every employee be able to perform the work of another employee

Answers

Job Task rotation is the requirement that every employee be able to perform the work of another employee. Task rotation can bring about reduction and the repetition of the difficulty a job task may have on an employee. Read below about employee.

Who is an employee?

An employee is a person who has agreed to be employed to work for some form of payment under a contract of employment. Your employment status will help define what rights and responsibilities you have at work.

Therefore, the correct answer is as given above.

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Suppose the Chicago Cubs baseball team charges $18 bleacher seats and sells 49,000 of them over the course of the season. The next season, the Cubs increase the price to $22 and sell 44,000 tickets. Assuming the marginal cost of admitting one more fan is zero, is the price increase a good idea

Answers

Price Elasticity of demand measures the percentage change in quantity demanded of a good or service due to a percentage change in the price of a good or service.

Using Midpoint Method to find Elasticity of Demand

Ed = [(Q2 -Q1) / (Q2 + Q1) / 2] / [(P2 - P1) / (P2 + P1) / 2]

where P is Price and Q is the quantity

Q1 = 49000, Q2 = 44000, P1 = 18, P2 = 22

Ed = [(44000 - 49000) / (44000 + 49000) / 2] / [(22 - 18) / (22 + 18) / 2]

Ed = [(5000 / (93000 / 2)] / [( 4 / (40 / 2)]

= (5000 / 46,500) / (4 / 20)

= 0.1075 / 0.2

= 0.54

While calculating the price elasticity of demand, only absolute values are considered, and the minus sign is ignored.

Price Elasticity of Demand for bleacher seats at Clubs Games = 0.54

As the Price Elasticity of Demand is less than 1, it means that demand for bleacher seats at Clubs Games is Inelastic. In the case of Inelastic demand, a given percentage change in price results in a relatively lesser percentage change in quantity demanded.

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