Max Pentridge is thinking of starting a pinball palace near a large Melbourne university. His utility is given by u(W) = 1 - (5,000/W), where W is his wealth. Max's total wealth is $10,000. With probability p = 0.7 the palace will succeed and Max's wealth will grow from $10,000 to $x. With probability 1 - p the palace will be a failure and he'll lose $5,000, so that his wealth will be just $5,000. What is the smallest value of x that would be sufficient to make Max want to invest in the pinball palace rather than have a wealth of $10,000 with certainty? (Please round your final answer to the whole dollar, if necessary

Answers

Answer 1

The smallest value of x that would be sufficient to make Max want to invest in the pinball palace rather than have a wealth of $10,000 with certainty is $15,000.

To determine the smallest value of x, we need to compare Max's expected utility in two scenarios: investing in the pinball palace and having a wealth of $10,000 with certainty. In the pinball palace scenario, Max's wealth will either be $x (with a probability of 0.7) or $5,000 (with a probability of 0.3). Using Max's utility function u(W) = 1 - (5,000/W), we can calculate his expected utility in the pinball palace scenario as 0.7 * u(x) + 0.3 * u(5,000).

In the certainty scenario, Max's wealth is $10,000, and we can calculate his utility as u(10,000). To make Max prefer the pinball palace investment, the expected utility in that scenario must be greater than the utility in the certainty scenario.

By equating the two utilities and solving for x, we find that x must be at least $15,000 for Max to prefer investing in the pinball palace.

The smallest value of x that would make Max want to invest in the pinball palace rather than have a wealth of $10,000 with certainty is $15,000. At this value, the expected utility from the pinball palace investment exceeds the utility of having a certain wealth of $10,000.

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Related Questions

Alex spends $20 on apples. When the price of apple increase, Alex spends more than $20 on apples. Which of the following could be Alex's price elasticity of demand for apples when he is spending $20 on apples? a. Insufficient information to conclude b. -0.5 c. -1 d. -2

Answers

Alex's price elasticity of demand for apples when he is spending $20 on apples is a.  Insufficient information to conclude.

Based on the given information, we can conclude that Alex's demand for apples is price inelastic.

Price elasticity of demand measures the responsiveness of quantity demanded to a change in price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.

In this case, when the price of apples increases, Alex's spending on apples increases. This indicates that the quantity demanded of apples is not decreasing proportionally to the increase in price. In other words, the percentage change in quantity demanded is less than the percentage change in price.

Since the demand is price inelastic, the price elasticity of demand (PED) value is between 0 and -1. However, we cannot determine the exact value of PED based on the given information. Therefore, the correct answer is a. Insufficient information to conclude.

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Give three examples of the types of contracts that may
appear to be supported by consideration but, in fact, lack
consideration.

Answers

1. Illusory Promise: An illusory promise is a statement that appears to be a promise

2. Past Consideration: Consideration must be given in exchange for a promise,

3. Pre-existing Duty: If a party is already obligated to perform a certain action by law or under an existing contract.

For example, if Party A promises to donate money to a charity "if they feel like it," there is no consideration because Party A has not committed to a definite obligation.

2. Past Consideration: Consideration must be given in exchange for a promise, but past actions or past consideration do not meet this requirement. If Party A promises to pay Party B for service rendered in the past, there is no valid consideration as the consideration occurred before the promise was made.

3. Pre-existing Duty: If a party is already obligated to perform a certain action by law or under an existing contract, their promise to perform that same action does not constitute valid consideration. For example, if a contractor agrees to complete a construction project on time in exchange for an additional payment, there is no valid consideration as the contractor is already obligated to complete the project under their original contract.

In all these examples, although there may be some form of promise or apparent consideration, the lack of genuine reciprocal exchange or new consideration renders the contracts unenforceable due to the absence of true consideration.

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Assuming you are Scott, how important is the choice of business structure under which the proposed restaurant would operate?

Answers

The choice of business structure is highly important for the proposed restaurant.

The business structure determines the legal and operational framework within which the restaurant operates. It has significant implications for various aspects of the business, including liability protection, taxation, governance, financing options, and flexibility in ownership and management.

For example, if Scott chooses to operate the restaurant as a sole proprietorship, he will have unlimited personal liability for any debts or legal issues arising from the business. On the other hand, if he establishes a limited liability company (LLC) or a corporation, his personal liability will be limited to the extent of his investment in the business.

The choice of business structure also affects the tax obligations of the restaurant. Different structures have different tax implications, such as income tax, self-employment tax, and payroll tax. Scott should carefully consider the tax advantages and disadvantages of each structure to optimize the restaurant's financial position.

Furthermore, the business structure can impact the restaurant's ability to attract investors or secure financing. Some structures, like corporations, offer more flexibility in terms of issuing shares or raising capital from external sources.

In conclusion, the choice of business structure is crucial for the proposed restaurant as it influences legal protection, tax obligations, financing options, and overall operational flexibility. Scott should consult with legal and financial professionals to assess the specific needs and goals of the restaurant and make an informed decision about the most suitable business structure.

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A bond that trades at a discount has a built-in gain at maturity. a. because the bond's principal is equal to its current price b.because the bond's principal is less than its current price c. because the bond's principal is more than its current price

Answers

**The correct answer is option b: because the bond's principal is less than its current price.**

When a bond trades at a discount, it means that its market price is lower than its face value or principal. At maturity, the bondholder will receive the full face value of the bond, which is higher than the price they paid for it. This price difference represents a built-in gain at maturity.

The gain is realized because the bondholder will receive more than what they initially invested, as the bond's principal is higher than its current discounted price. Therefore, a bond trading at a discount offers a potential gain for the bondholder at maturity.

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financial criteria are often used by executive management and project champions to determine whether to undergo a project in terms of costs of the project and benefits to the organization. this is commonly called the?

Answers

The financial criteria are often used by executive management and project champions to determine whether to undergo a project in terms of the costs of the project and benefits to the organization. this is commonly called the Return on Investment (ROI).

The option (A) is correct.

ROI is typically calculated by dividing the net profit produced by the venture by the underlying speculation cost and communicating it as a rate or proportion. The net benefit incorporates the task's benefits or advantages short of any related expenses or costs.

A positive ROI invested shows that the task is supposed to produce more monetary returns than its expense, making it possibly valuable for the association.

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This question is not complete, Here I am attaching the complete question:

Financial criteria are often used by executive management and project champions to determine whether to undergo a project in terms of costs of the project and benefits to the organization. this is commonly called the?

(A) Return on Investment (ROI).

(B) Project return of Investment.

(C) Financial Evaluation & Benefits Capture.

How can cultural differences affect bargaining behavior? If you were negotiating with a Japanese firm, what might you do differently than if you were facing an American firm? Explain.

Answers

Cultural differences affect bargaining behavior in several ways. For instance, culture shapes the way people communicate, their values and beliefs, and their approach to problem-solving.

Cultural differences can affect how negotiators behave during bargaining sessions with people from different cultural backgrounds. If you were negotiating with a Japanese firm, the following are things you might do differently than if you were facing an American firm: You might spend more time building a relationship with the Japanese negotiators because relationship-building is critical in Japanese culture. In Japan, before business discussions, parties tend to engage in small talk and take the time to get to know each other. You might use the appropriate language and show respect for Japanese business customs. For example, the Japanese have a hierarchical business culture, and showing respect for rank is essential. Therefore, you should address the Japanese negotiators by their titles and use formal language. You might be more patient and avoid showing your emotions because  Japanese culture values harmony and avoids confrontations. Therefore, you should avoid being aggressive and focus on finding common ground between you and the Japanese negotiators. You might need an interpreter to help you communicate because Japanese negotiators may not be comfortable speaking English.

It is essential to have an interpreter who can help you understand what the Japanese negotiators are saying and vice versa. If you were negotiating with an American firm, the following are things you might do differently: You might be more direct and assertive in your communication because Americans tend to value straight talk. Therefore, you should be prepared to communicate your goals and objectives clearly and directly. You might focus on the bottom line and avoid wasting time on relationship-building. In American culture, time is money, and therefore, you might need to get straight to the point. You might be more competitive and push harder to get what you want. Americans are generally more competitive, and therefore, you might need to be more assertive and competitive during bargaining sessions. You might use legal language and focus on details because Americans tend to value details and precision. Therefore, you should be prepared to use legal terms and focus on details when negotiating with an American firm.

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Consider the following two statements: Statement A: Consumption is the largest part of GDP. Statement B: The difference between gross and net investment is the depreciation. Which of the following options is true: a. Statement A and Statement B are both True. b. Statement A is True but Statement B is false. c. Statement A is False but Statement B is True. d. Both Statement A and Statement B are False.

Answers

b. Statement A is True but Statement B is false.

Statement A: Consumption is the largest part of GDP.

This statement is true. Consumption is indeed the largest component of GDP (Gross Domestic Product) in most economies. It represents the total spending by households on goods and services during a given period. Consumption typically accounts for a significant portion of GDP, often more than two-thirds.

Statement B: The difference between gross and net investment is the depreciation.

This statement is false. The difference between gross investment and net investment is not equal to depreciation. Gross investment refers to the total amount invested in capital goods, including both replacement of worn-out capital (depreciation) and the addition of new capital. On the other hand, net investment represents the change in the stock of capital, calculated by subtracting depreciation from gross investment. Net investment reflects the increase or decrease in the capital stock after accounting for depreciation.

Therefore, only Statement A is true, and Statement B is false.

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Should You Believe This Study? Based solely on the information given, do you have reason to question the results or the methods used in the following hypothetical studies? Explain your reasoning.

Answers

I can provide you with some general considerations to keep in  when evaluating the credibility of a study:

Source and Expertise: Consider the source of the study. Is it published in a reputable journal or conducted by a recognized research institution? Assess the credibility and expertise of the researchers involved. Have they conducted similar studies in the past? Do they have relevant qualifications and expertise in the field?

Methodology: Evaluate the methodology used in the study. Are the research methods appropriate and well-established for the research question? Look for details on sample size, data collection methods, and statistical analysis. Assess whether the study design is robust and suitable for drawing valid conclusions.

Bias and Confounding Factors: Consider potential biases or confounding factors that may influence the results. Look for any conflicts of interest or funding sources that may introduce bias into the study. Assess whether the study accounts for and addresses potential confounding variables that could impact the results.

Replication and Peer Review: Check if the study has been replicated or if similar studies have reached similar conclusions. Peer review is an important process in which independent experts evaluate the study's methodology and findings. If a study has undergone rigorous peer review and has been replicated, it adds to its credibility.

Consistency with Existing Knowledge: Consider how the study's findings align with existing knowledge in the field. Are the results consistent with what other studies have found? If the findings contradict established knowledge or widely accepted theories, it may be necessary to investigate further or exercise caution.

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Suppose you put 10,000 in a saving account with the interest of
8% and keep it there for 2 years. What would the future value at
the end of year 2?

Answers

If you put 10,000 in a saving account with the interest of 8% and keep it there for 2 years, the future value of the savings account at the end of year 2 would be $11,664.

To calculate the future value of the savings account, we can use the formula for compound interest. The formula is:
Future Value = Principal × (1 + Interest Rate)^Number of Periods
In this case, the principal is $10,000, the interest rate is 8% (or 0.08), and the number of periods is 2 years. Plugging these values into the formula, we get:
Future Value = $10,000 × (1 + 0.08)^2
= $10,000 × (1.08)^2
= $10,000 × 1.1664
= $11,664
Therefore, the future value of the savings account at the end of year 2 would be $11,664.

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Discuss the Short Butterfly position, placing particular
emphasis on the benefits and risks associated with it.

Answers

The short butterfly is a neutral options trading strategy that has a limited profit and limited loss potential. This strategy is used when an investor expects the underlying asset to experience little or no price movement. This position involves selling two options at the middle strike price and purchasing one option at a lower strike price and another at a higher strike price. The result is a net credit, which is the difference between the premiums received from selling the two options and the premiums paid for buying the other two options.


Benefits of Short Butterfly Position:

The main advantage of the short butterfly position is that it allows traders to earn a limited profit with limited risk. The strategy works best when the underlying asset is expected to remain stable in price, as this increases the probability of the options expiring worthless. The profit potential is highest if the asset price remains at the middle strike price at the expiration date.

The short butterfly position is also a good way to hedge against small price movements. It has the potential to generate profits even if the asset price moves slightly in either direction.

Risks of Short Butterfly Position:

The biggest risk associated with the short butterfly position is that the profit potential is limited. If the asset price moves too far away from the middle strike price, the position will result in a loss. The maximum loss will be the difference between the premiums received and the premiums paid.

Another risk of the short butterfly position is that it has a limited time frame. The options expire on a specific date, so traders need to be careful when choosing the expiration date. If the underlying asset price does not remain stable or move as expected before the expiration date, the position will expire worthless.

Overall, the short butterfly position is a neutral options strategy that can be useful for traders who expect little or no price movement in an underlying asset. The strategy has limited profit potential and limited risk, making it a good choice for hedging against small price movements. However, traders should be aware of the risks associated with the position, including limited profit potential and a limited time frame.

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Acme Corporation's net income this year is $1.500,000. The company generally pays out 60% of net income in the form of dividends, thus retaining the remainder for reinvestment. The company's common equity currently has a book value of $7.500,000. They just paid a dividend of $1.80, and the required rate of return on this stock is 12%. Compute the intrinsic value of this stock if dividends are expected to continue growing indefinitely at the company's internal growth rate.
a. $24.30
b. $16.20
c. $45.00
d. $48.60

Answers

The intrinsic value of this stock is $45.00. The correct option is (c) $45.00.

To calculate the intrinsic value of a stock using the Gordon Growth Model, we need the following information:

Dividend per share (DPS): $1.80

Required rate of return (RRR): 12%

Internal growth rate (g): This rate represents the sustainable growth rate of the company and is calculated as the product of the retention ratio (1 - dividend payout ratio) and the return on equity (ROE).

Given that the dividend payout ratio is 60% and the net income is $1,500,000, we can calculate the annual retained earnings as follows:

Retained Earnings = Net Income * (1 - Dividend Payout Ratio)

= $1,500,000 * (1 - 0.60)

= $600,000

The return on equity (ROE) is calculated as the net income divided by the book value of equity:

ROE = Net Income / Book Value of Equity

= $1,500,000 / $7,500,000

= 0.20 or 20%

Now we can calculate the internal growth rate (g):

g = Retention Ratio * ROE

= (1 - Dividend Payout Ratio) * ROE

= 0.40 * 0.20

= 0.08 or 8%

Finally, we can calculate the intrinsic value using the Gordon Growth Model:

Intrinsic Value = DPS / (RRR - g)

= $1.80 / (0.12 - 0.08)

= $1.80 / 0.04

= $45.00

Therefore, the intrinsic value of this stock is $45.00. The correct option is (c) $45.00.

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According to Dr. W. Edwards Deming, what percent of the blame for poor quality should be placed on upper-managemen
O 85%
O 25%
O 10%
O 0%
O 50%

Female employees at Disney are not allowed to wear any kind of ring.
True
False

Answers

According to Dr. W. Edwards Deming, 85% of the blame for poor quality should be placed on upper-management. option a.

This is known as the "Deming's 85/15 rule.

The statement "Female employees at Disney are not allowed to wear any kind of ring," is False.

According to Dr. W. Edwards Deming, 85% of the blame for poor quality should be placed on upper-management. Therefore, the correct option is O 85%.

Dr. W. Edwards Deming (1900-1993) was an American statistician, engineer, and management consultant who helped in the development of statistical quality control in Japan. He made a significant contribution to the industrial boom in Japan and has played a crucial role in improving the quality of the product by developing a methodology for industrial improvement.According to Dr. W. Edwards Deming, 85% of the blame for poor quality should be placed on upper-management.

He has long argued that bad management is the major obstacle to the success of any business. Therefore, organizations should concentrate on improving management in the first place.Disney's employees, male or female, are allowed to wear a plain wedding ring or any other piece of jewelry deemed "appropriate." So, the given statement "Female employees at Disney are not allowed to wear any kind of ring" is False.

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Give any 6 things that you think are most important in Resolving
a complaint .

Answers

When it comes to resolving a complaint, there are a few key things that are important to keep in mind.

Here are six things that I believe are essential in resolving a complaint:

1. Listen actively to the complaint

The first thing to do when a customer complains is to listen actively to their complaint. Make sure you understand their issue and ask questions to clarify anything that is not clear. Listening actively shows that you value the customer and their opinion.

2. Apologize for the inconvenience caused

Next, apologize for any inconvenience that has been caused. An apology goes a long way in diffusing tension and showing empathy towards the customer.

3. Offer a solution

Once you have understood the complaint and apologized, it's time to offer a solution. This could be a refund, replacement, or any other action that will help resolve the issue.

4. Act promptly and efficiently

It's important to act promptly and efficiently to resolve the complaint. The longer you take, the more frustrated the customer will become.

5. Follow up

After resolving the complaint, it's a good idea to follow up with the customer to ensure that they are satisfied with the outcome. This shows that you care about their experience and want to maintain a positive relationship with them.

6. Learn from the complaint

Finally, it's important to learn from the complaint and take steps to prevent similar issues from occurring in the future. This will help improve your customer service and prevent future complaints.

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Problem 13-10 Finding Total Return [LO4] Assume that one year ago you bought 200 shares of a mutual fund for $20 per share, you received a $0.45 per-share capital gain distribution during the past 12 months, and the market value of the fund is now $24. Ignoring tax, calculate the total return for this investment if you were to sell it now. (Round your answer to 2 decimal places. Omit the "%" sign in your response.) Return on Investment %

Answers

The total return for this investment if you were to sell it now is $890. The return on investment is 22.25%.

Given data: You bought 200 shares of a mutual fund for $20 per share. (Cost = 200 * $20)You received a $0.45 per-share capital gain distribution during the past 12 months. Market value of the fund is now $24. (Current market value = 200 * $24)To find: Total return for this investment if you were to sell it now Solution: Total Investment = $4,000 ($20 * 200)Capital Gain Distribution = $0.45 * 200 = $90Total market value of investment after one year = $24 * 200 = $4800Total return = Capital gain distribution + (Current market value - Total Investment)Total Return = $90 + ($4800 - $4000)Total Return = $890Return on investment = (Total Return / Total Investment) x 100%Return on Investment = ($890 / $4000) x 100%Return on Investment = 22.25%.

Therefore, the main answer is: Return on Investment is 22.25%. The above problem is about finding the total return of an investment in a mutual fund. Total return is the return on an investment in stocks, bonds, mutual funds, or other investments, including reinvestment of income and capital gains or losses, expressed as a percentage of the initial investment and calculated as the current market value of the investment plus any income received divided by the initial investment. Calculating total return involves the following steps: Adding up the income you received over the holding period, which can include interest, dividends, and any capital gains you realized Dividing that total by your original investment amount to determine your total return as a decimal Multiplying the result by 100 to get your total return as a percentage Given the data, the total return for this investment if you were to sell it now is $890. The return on investment is 22.25%.

In conclusion, total return is an important metric for evaluating the performance of investments. By calculating total return, investors can determine how much income an investment generated and how much the investment has appreciated in value.

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Find the discount date and net payment date.
Invoice date: Nov 28
Terms: 1/8 - 20x

Answers

Based on the provided information, the invoice date is November 28th, and the terms are 1/8 - 20x.

The term "1/8" represents the discount percentage, and "20x" represents the number of days within which payment should be made to receive the discount.

To calculate the discount date, you need to determine 1/8th of the number of days specified by the term "20x" and then add that to the invoice date.

1/8th of 20 days is 2.5 days, so you would typically round it up to 3 days. Adding 3 days to the invoice date of November 28th, the discount date would be December 1st.

As for the net payment date, it would be the date by which the full payment is due without taking the discount. To find this date, you would add the full 20 days from the invoice date of November 28th. Therefore, the net payment date would be December 18th.
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