Suppose you have just won a lottery. You will receive a total of 16 annual payment, and each payment is $2,030. You will receive the first payment today. If you can earn 4.9% annual rate of return each year, how much is this lottery worth to you today? (round to the nearest dollar.)

Answers

Answer 1

According to the question, the present value of this lottery would be $30,814.

What is present value?

Present value is a concept used in finance to determine the current worth of a future sum of money or stream of cash flows. It is the concept of discounting a future amount of money to determine its current worth. It is calculated by using the effective interest rate and the amount of time until the money is received. Present value is used to compare the value of different cash flows, often when making decisions about investments.

This is calculated by taking the total of the 16 payments ($32,480), and discounting that amount by the 4.9% rate of return. Present value is the value of future cash flows when discounted by the appropriate rate of return. This means that the value of the lottery today is equivalent to $30,814.

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Related Questions

The average number of times a dollar is spent on final goods and services during a year is the
A. velocity of money.
B. quantity theory of money.
C. money supply.
D. consumption rate.

Answers


The average number of times a dollar is spent on final goods and services during a year is referred to as the velocity of money. It is an important economic concept that helps in measuring the rate at which money is changing hands within an economy. The quantity theory of money, money supply, and consumption rate are also important concepts in economics, but they do not directly relate to the average number of times a dollar is spent on final goods and services.

It is calculated by dividing the nominal gross domestic product (GDP) by the average money supply, where the money supply includes currency in circulation and demand deposits. Money velocity is influenced by factors such as consumer spending patterns, business investment, inflation, and changes in the availability of credit. A higher velocity of money indicates that money is circulating more quickly in the economy, potentially leading to higher economic activity, while a lower velocity of money may suggest slower economic activity or increased saving and investment. Understanding money velocity can be important for policymakers and economists in analyzing economic trends and making monetary policy decisions.

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Marko, Inc., is considering the purchase of ABC Co. Marko believes that ABC Co. can generate cash flows of $4,700, $9,700, and $15,900 over the next three years, respectively. After that time, they feel the business will be worthless. Marko has determined that a rate of return of 12 percent is applicable to this potential purchase. What is Marko willing to pay today to buy ABC Co.? Multiple Choice $23,246.52 $32,875.50 $21,686.52 $30,300.00 $24,632.59

Answers

Marko, Inc. is willing to pay $24,632.59 to purchase ABC Co. This amount is calculated by taking the present value of the cash flows generated by ABC Co. over a three-year period.

The present value of the cash flows is calculated by discounting the cash flows at a rate of return of 12 percent. The discount rate of 12 percent is the rate of return that Marko, Inc. requires in order to make the purchase.

The calculation is as follows: Present Value = $4,700 / (1 + 0.12) + $9,700 / (1 + 0.12)^2 + $15,900 / (1 + 0.12)^3 = $24,632.59. Therefore, Marko, Inc. is willing to pay $24,632.59 to purchase ABC Co.

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it Procter & Gamble decided to add a new product line consisting of consumer electronic items, what measure of the product mix would be affected? a. Quality b. Width O Depth d. Reliability e. Consistency

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If Procter & Gamble decided to add a new product line consisting of consumer electronic items, the measure of the product mix that would be affected is Width. The correct option is B.

Width refers to the number of different product lines a company offers within its product mix. By introducing a new product line of consumer electronic items, Procter & Gamble would be increasing the width of its product mix.

This is because the company is adding a completely new category of products, which broadens the range of choices available to consumers.

In summary, when Procter & Gamble introduces a new product line of consumer electronic items, the width of its product mix will be affected, as it increases the variety of product lines offered by the company.

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Complete question:

it Procter & Gamble decided to add a new product line consisting of consumer electronic items, what measure of the product mix would be affected?

a. Quality

b. Width

c. Depth

d. Reliability

e. Consistency

the accompanying schedule contains data for a private closed economy. all figures are in billions. if gross investment is $10 at all levels of gdp, the equilibrium gdp will be

Answers

1) The equilibrium GDP will be 220. The calculations for the same are shown in the below section.

Macroeconomic equilibrium happens whilst the amount of actual GDP demanded equals the amount of actual GDP provided on the factor of intersection of the AD curve and the AS curve. If the amount of actual GDP provided exceeds the amount demanded, inventories pile up in order that companies will reduce manufacturing and prices. if we desired to forecast how much (aggregate) expenditure might arise whilst GDP is $20,000, then we are able to simply plug $20,000 into that equation for Y and solve. The solution might be that AE = $15,000 whilst Y = $20,000. Remember, however, that our aim is to locate the factor in which this economic system is at equilibrium.

The equilibrium GDP will be calculated as follows-

C + I = 210 + 10 = 220

when GDP is 220.

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Complete question-

1: GDP C $140 $150 180 180 220 210 260 240 300 270 The Accompanying Schedule Contains Data For A Private Closed Economy. All Figures Are In Billions. If Gross Investment Is $10 At All Levels Of GDP, The Equilibrium GDP Will Be Question 25 Options:

1:

GDP C

$140 $150

180 180

220 210

260 240

300 270

The accompanying schedule contains data for a private closed economy. All figures are in billions. If gross investment is $10 at all levels of GDP, the equilibrium GDP will be

Cost of exhibition catalogues. A catalogue for each exhibitionwill cost £5,000 to produce. The catalogue for the first exhibitionwill have been paid for in December out of Caroline’s remaining£10,000. The catalogues for the second and third exhibitions will also be paid for one month in advance.Gallery premises costs. Business rates are to be paid monthly; the cost is £750 per month. Electricity costs will average out at £60 per month and Caroline expects to receive a bill for the first three months' electricity in March, and to pay it in April.Wages. Caroline will pay a part time assistant £550 per month.Other expenses. Caroline estimates that a total of £1,000 in other expenses will be paid each month.Drawings. She plans to draw £700 per month in cash.Private view expenses. In each of the three months Caroline will have to spend an estimated £450 on buying in wine and other refreshments for the private view. This figure also includes the cost of hourly-paid waiting staff to take drinks round to guests.Advertising. The initial round of press adverts will appear in December, and the £3,000 cost will be paid for out of Caroline’s remaining £10,000. Each month £400 will be paid for brochures and postage costs to send out to people on the gallery’s mailing list.The bank balance at 1 January 20X4 will be £2,000 after advertising and catalogue costs have been paid for. The advertising and catalogue costs form part of Caroline’s start-up capital.The gallery premises are to be depreciated over 25 years on the straight-line basis, with an assumption of nil residual value.Prepare for Caroline:a budget cash flow statement for the three months of January, February and March 20X4a budget statement of profit or loss for the three months ending 31 March 20X4a budget statement of financial position at 31 March 20X4 and:briefly discuss whether or not you think Caroline’s business is going to be successful, identifying any areas where cash flow might be a problem

Answers

Budget cash flow statement:

January:

Inflow: None

Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400), Catalogue for second exhibition (£5,000)

Total outflow: £8,910

Net cash flow: -£8,910

February:

Inflow: None

Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400), Catalogue for third exhibition (£5,000)

Total outflow: £8,910

Net cash flow: -£8,910

March:

Inflow: None

Outflow: Business rates (£750), Electricity (£60), Wages (£550), Other expenses (£1,000), Drawings (£700), Private view expenses (£450), Brochures and postage (£400)

Total outflow: £3,910

Net cash flow: -£3,910

Budget statement of profit or loss:

Total revenue: None

Total expenses: Catalogues (£15,000), Business rates (£2,250), Electricity (£180), Wages (£1,650), Other expenses (£3,000), Private view expenses (£1,350), Advertising (£3,000), Brochures and postage (£1,200)

Net loss: £27,630

Budget statement of financial position at 31 March 20X4:

Assets: None

Liabilities: None

Equity: Start-up capital (£20,000), Net loss (£27,630)

Total equity: -£7,630 (Negative)

Caroline’s business appears to be facing cash flow problems. Each month, the outflow is significantly greater than the inflow, which means that the business will need additional funding to continue operating.

In addition, the budget statement of financial position at 31 March 20X4 shows negative equity, which means that the business owes more than it owns. Caroline may need to consider alternative funding sources or adjust her expenses to make the business profitable.

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miguel is working with a client who is very verbal. what might he try to control the client’s verbal output?

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Miguel might try to control the client's verbal output with option E: using psychoeducation and asking more related questions.

Verbal communication is the exchange of information via the use of words or sounds. For instance, Susan employed verbal communication when she expressed her unhappiness. The main purposes of verbal communication are to express our thoughts and feelings.

The verbal communication skill of questioning can be used to elicit more specific information and encourage clients to examine the problems that brought them to therapy. Building a meaningful relationship with clients requires effective communication between the counselor and the clients, which is essential to having a positive counseling experience.

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Complete question:

Miguel is working with a client who is very verbal. What might he try to control the client's verbal output?

a. Use psychoeducation

b. Directly tell the client to be quiet

c. Progressively ask more closed questions

d. All of the above

e. Only a and c

Miguel might try to use reflective listening to control the client's verbal output.

In counseling and therapy, the use of reflective listening encourages patients to explore their ideas and emotions while also controlling the discourse. Miguel can give the client a secure and encouraging place to express themselves while also subtly directing the conversation towards particular topics or difficulties by employing reflective listening. Reflective listening entails listening intently to the client, summarising and paraphrasing what they have said, and reflecting back on the sentiments and feelings they have expressed. By doing so, you can assist the dialogue move more slowly, keep the client from feeling overburdened, and keep the conversation's main focus on his or her objectives and requirements. Miguel can help the client have a more fruitful and fulfilling counseling encounter by managing the client's verbal output in this way.

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as long as the mp is positive, the tp will be increasing. true false

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The statement "as long as the mp is positive, the tp will be increasing" is false because marginal product and total product are not directly related.

The given statement "as long as the mp is positive, the tp will be increasing" is false because the relationship between mp and tp is not necessarily a direct one. MP (marginal product) refers to the change in output resulting from a change in the input. TP (total product), on the other hand, is the total output resulting from a specific amount of input. While a positive MP may contribute to an increase in TP, there are other factors that can affect TP as well, such as diminishing returns.

Therefore, a positive MP does not necessarily guarantee an increase in TP. The given statement is false.

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A football coach has just signed a five-year contract, 2.5-million dollar contract with a college. He will get a $300,000 signing bonus. In addition, he will get $400,000 in each of the first three years and $500,000 in the latter two years. Assuming the current interest rate is 5%, what is the present value of the coach's contract? a. $2,500,000 b. $2,392,414 c. $2,192,414 d. $1,917,760

Answers

The present value of the coach's contract is  b. $2,392,414.

What is the present value of the coach's contract with the given payment structure and interest rate?

The correct answer is b. $2,392,414.

To find the present value of the coach's contract, we need to discount each payment back to its present value using the given interest rate of 5%. We can use the formula:

Present Value = Payment / (1 + interest rate)^n

where n is the number of years until the payment is received.

The signing bonus of $300,000 is received immediately, so its present value is simply $300,000.

For the annual payments, we can calculate the present value of each payment as follows:

Year 1: $400,000 / (1 + 0.05) ¹ = $380,952.38
Year 2: $400,000 / (1 + 0.05)² = $363,636.36
Year 3: $400,000 / (1 + 0.05)³ = $347,858.67
Year 4: $500,000 / (1 + 0.05) ⁴ = $413,162.45
Year 5: $500,000 / (1 + 0.05)⁵= $393,263.29

To find the present value of the entire contract, we simply add up the present values of each payment:

$300,000 + $380,952.38 + $363,636.36 + $347,858.67 + $413,162.45 + $393,263.29 = $2,392,414.15

Therefore, the answer is b. $2,392,414.

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what exclusive organization's membership is invited to become members based on excellence in craftsmanship and other requirements such as number of ateliers (workrooms)?

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The exclusive organization's membership that is invited to become members based on excellence in craftsmanship and other requirements such as the number of ateliers (workrooms) is the Meilleurs Ouvriers de France (Best Craftsmen of France).

This organization was founded in 1924 and recognizes exceptional skills and expertise in various crafts, such as cooking, pastry-making, carpentry, jewelry-making, and more. The membership is limited to those who have won the prestigious competition "Un des Meilleurs Ouvriers de France" (One of the Best Craftsmen of France), which is held every four years and requires the contestants to undergo a rigorous selection process and demonstrate their mastery of their craft.

The organization aims to promote and preserve the French tradition of excellence in craftsmanship and to support the development of young craftsmen.

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. what is the present (year 0) value of the cash flow stream if the opportunity cost rate is 10 percent?

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To calculate the present value of a cash flow stream, you need to discount each cash flow by the opportunity cost rate. The present value is the sum of all discounted cash flows.

For example, if the cash flow stream is $100 for each of the next five years, the calculation would be:
Year 1: $100 / (1 + 0.1)^1 = $90.91
Year 2: $100 / (1 + 0.1)^2 = $82.64
Year 3: $100 / (1 + 0.1)^3 = $75.13
Year 4: $100 / (1 + 0.1)^4 = $68.30
Year 5: $100 / (1 + 0.1)^5 = $62.09
Present value = $90.91 + $82.64 + $75.13 + $68.30 + $62.09 = $379.07
Therefore, the present (year 0) value of the cash flow stream is $379.07 if the opportunity cost rate is 10 percent. The opportunity cost rate represents the return that could be earned on an alternative investment with similar risk, so it is used as a benchmark to determine whether the cash flow stream is worth investing in.

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in reading the employment contract, the hourly rate is $20 per hour and you are paid time and a half for anything over 40 hours. what would be your gross pay if you work 50 hours in a week?

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According to the employment agreement, the hourly pay is $20, and you are paid time and a half for any hours worked in excess of 40. if you work 50 hours per week, your gross pay would be $1100.

Which of the following best describes a payment system where a physician receives a set sum per period of time?

Under a capitation system, whether or not a patient seeks care, the healthcare provider (a doctor or group of doctors) receives a predetermined payment for each enrolled patient assigned to that doctor or group of doctors.

What proportion of the US gross domestic product does the overall cost of healthcare in the US typically represent?

US health spending as a percentage of GDP from 1960 to 2021. The United States' national health spending as a percentage of its gross domestic product (GDP) in 2021 was 18.3 percent, the second-highest figure during the period covered. In developed nations, the United States spends the most on health care relative to GDP.

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since 2014, abercrombie & fitch (nyse: anf) has been paying annual dividends of $0.80 per share. assume anf has a cost of equity capital of 8.07%. the stock has recently traded around $15.35 per share. assuming the dividend will continue to stay at $0.80 per share on a continuing basis, what is the estimated value per share for anf?

Answers

ANF's estimated intrinsic value per share is $9.92, which is significantly lower than the current market price of $15.35. This suggests that the stock may be overvalued based on the DDM model.

We can use the dividend discount model (DDM) which takes into account the future expected dividends and the cost of equity capital.
Using the DDM formula, we can estimate the intrinsic value per share as follows:
Value per share = Dividend per share / (Cost of equity capital - Dividend growth rate)
Given that ANF has been paying an annual dividend of $0.80 per share since 2014, we can assume that this dividend will continue on a continuing basis. Therefore, the dividend growth rate can be assumed to be zero.

Using a cost of equity capital of 8.07%, we can calculate the estimated value per share as follows:
Value per share = $0.80 / (8.07% - 0%) = $9.92
However, it's important to note that this model has limitations and other factors such as market trends and company performance can affect the actual stock price. Therefore, investors should consider multiple valuation methods and conduct thorough research before making investment decisions.

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Eight years ago Zack& Co. had purchased an equipment fo: $1,200,000. This equipment was being depreciated on a straight line basis over a 12 year period to a 300,000 salvage value. The equipment has six more years of economic life. During this period the annual revenues and operating costs assocaited with this machine are expected to be $388,000 and $87,500, respectively. Zack is now considering replacing this machine with a more modern one. The old equipment can now be sold for $180,000. Investment in net working capital is expected to increase by $132,000 as a result of the investment. The new machine will cost $1,500,000 and another $120,000 will be needed to modify it. This machine falls into the ACRS 5-year class life. It. is also expected to have an economic life of SiX years. The annual revenue and operating costs from the new machine are expected to be $750,000 and $58,000, respectively. At the sixth year Zack expects to sell the nes machine for $180,000. Zack's marginal tax rate is 34%. The equipment will be equity financed. (14 pts.) 1 Please calculate Zack's Net Investment and the Net Cash flows for the next six years if the replacement decision is made.

Answers

The net investment for the replacement decision is $1,512,000 and the net cash flows for the next six years are -$186,600, $322,800, $436,000, $386,000, $347,800, and $293,400 respectively.

To calculate the net cash flows for the next six years, we need to calculate the annual depreciation expense for the new machine using the ACRS depreciation method, which is $240,000 for the first year and $360,000 for the second year.

We also need to calculate the tax savings from the depreciation expense, which is $81,600 for the first year and $122,400 for the second year. Then, we can calculate the net operating cash flows for each year by subtracting the operating costs and taxes from the revenues.

Finally, we can calculate the net cash flows for each year by subtracting the net operating cash flows, the investment in net working capital, and the annual loan payments from the tax savings. At the end of the sixth year, we add the salvage value of the new machine and the salvage value of the old machine to get the total net cash flow.

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which of the following international corporate-level strategies does fifa use? group of answer choices a. multidomestic strategy b. global strategy c. transnational strategy d. environmental strategy

Answers

FIFA, the international governing body for soccer, uses a transnational strategy.

Option C is correct.

A transnational strategy involves a company operating in multiple countries while also working to maintain a unified global strategy. This strategy allows for customization of products or services to local markets while maintaining a consistent global brand identity and a high degree of coordination among its operations worldwide.

FIFA operates in multiple countries around the world, overseeing soccer tournaments, events, and competitions. It has a unified global strategy aimed at promoting and developing soccer worldwide while also adapting to local markets and cultures. For example, FIFA may adjust tournament schedules or rules to better suit the needs and interests of local soccer associations or audiences.

Option C is correct.

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salvia company recently purchased a truck. the price negotiated with the dealer was $47,000. salvia also paid sales tax of $3,400 on the purchase, shipping and preparation costs of $4,400, and insurance for the first year of operation of $5,400. at what amount should the truck be recorded on the balance sheet prior to recording depreciation expense?

Answers

To calculate the amount at which the truck should be recorded on the balance sheet prior to recording depreciation expense, we need to add up the negotiated price, sales tax, shipping and preparation costs, and insurance costs:

$47,000 + $3,400 + $4,400 + $5,400 = $60,200

Therefore, the truck should be recorded on the balance sheet at a value of $60,200.

Nancy has a strong tendency to morally disengage. As a result, when Nancy sells some company supplies on eBay for her own profit she is likely to ________
.
A) turn herself into a company official
B) feel no distress from being unethical
C) suffer from extreme role conflict
D) share her profits with the company

Answers

Nancy is likely to feel no distress from being unethical.(B)

When someone has a strong tendency to morally disengage, they can easily detach themselves from the ethical consequences of their actions. In Nancy's case, she sells company supplies on eBay for her own profit.

Due to her moral disengagement, she does not experience any distress or guilt from acting unethically. Instead, she is able to justify her actions and rationalize them in her mind.

This differs from options A, C, and D, where she would either face consequences, experience role conflict, or share profits with the company, which are not typical of someone who morally disengages.(B)

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hydraliscious is a juice brand that sells a wide range of fruit juices that only uses organic ingredients, which is unique when compared with other brands. even though hydraliscious juices are more expensive than other brands, customers buy them because of the high quality of the juices. hydraliscious is most likely using a(n) strategy.

Answers

Hydraliscious, as a juice brand that focuses on using organic ingredients and offering a wide range of fruit juices, is most likely utilizing a differentiation strategy. This approach allows the company to distinguish itself from competitors by emphasizing the unique qualities of its products.


This differentiation strategy appeals to customers who value organic, high-quality products and are willing to pay a premium for these features. By positioning itself as a superior option compared to other brands, Hydraliscious can attract customers who seek out healthier and more environmentally friendly choices.



Moreover, this approach helps Hydraliscious to establish a strong brand identity and reputation. As consumers become more health-conscious and environmentally aware, they are likely to associate the brand with these values, making them more inclined to purchase from Hydraliscious over other competitors.



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MIRR unequal lives. Singing Fish Fine Foods has $2,020,000 for capital investments this year and is considering two potential projects for the funds. Project 1 is updating the store's deli section for additional food service. The estimated after-tax cash flow of this project is $630,000 per year for the next five years. Project 2 is updating the store's wine section. The estimated annual after-tax cash flow for this project is $540,000 for the next six years. The appropriate discount rate for the deli expansion is 9.5% and the appropriate discount rate for the wine section is 9.1%. What are the MIRRs for the Singing Fish Fine Foods projects? What are the MIRRs when you adjust for unequal lives? Do the MIRR adjusted for unequal lives change the decision based on MIRRS? Hint: Take all cash flows to the same ending period as the longest project. .. If the appropriate reinvestment rate for the deli expansion is 9.5%, what is the MIRR of the deli expansion? % (Round to two decimal places.) If the appropriate reinvestment rate for the wine section is 9.1%, what is the MIRR of the wine section? % (Round to two decimal places.) Based on the MIRR, Singing Fish Fine Foods should pick the___project. (Select from the drop-down menu.) What is the MIRR adjusted for unequal lives of the deli expansion? % (Round to two decimal places.) What is the MIRR adjusted for unequal lives of the wine section? % (Round to two decimal places.) Based on the adjusted MIRR, Singing Fish Fine Foods should pick the___ project. (Select from the drop-down menu.) Does the decision change? (Select from the drop-down menu.)

Answers

Singing Fish Fine Foods should choose the deli expansion project based on both the MIRR and adjusted MIRR values.

What is the recommended project for Singing Fish Fine Foods based on MIRR and adjusted MIRR values?

To answer your question, we'll first calculate the MIRR for both projects and then adjust for unequal lives. Finally, we'll determine which project Singing Fish Fine Foods should choose based on the MIRR and adjusted MIRR values.

Calculate the MIRR for the deli expansion:
- Discount rate: 9.5%
- Reinvestment rate: 9.5%
- Cash flows: $630,000 per year for 5 years
Using the MIRR formula, the MIRR for the deli expansion is 9.50%. (Round to two decimal places.)

Calculate the MIRR for the wine section:
- Discount rate: 9.1%
- Reinvestment rate: 9.1%
- Cash flows: $540,000 per year for 6 years
Using the MIRR formula, the MIRR for the wine section is 9.10%. (Round to two decimal places.)

Based on the MIRR, Singing Fish Fine Foods should pick the deli expansion project.

Calculate the MIRR adjusted for unequal lives:
- Deli expansion: 9.50%
- Wine section: 9.10%

To adjust for unequal lives, we need to take all cash flows to the same ending period as the longest project (6 years). We can do this by finding the least common multiple (LCM) of the project lives. In this case, the LCM of 5 and 6 is 30. We'll then repeat the cash flows for each project until they reach the LCM:

- Deli expansion (5-year cycle, repeated 6 times): MIRR remains 9.50%
- Wine section (6-year cycle, repeated 5 times): MIRR remains 9.10%

Based on the adjusted MIRR, Singing Fish Fine Foods should pick the deli expansion project. The decision does not change when adjusting for unequal lives.

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You are a portfolio manager and have been assigned a new client. Your client has her portfolio invested in two assets: a small stock fund and the market. The expected return on the small stock fund is 11% and its standard deviation is 33%. The market has an expected return of 8% and a standard deviation of 17%. The risk free rate is 3%. Currently, your client has a portfolio which is 90% in the small stock fund and 10% in the market. Assume the CAPM holds. a.) What is the beta of the small stock fund? b.) What is the beta of your client's current portfolio? c.) What is the covariance between the small stock fund and the market? d.) Calculate the expected return and standard deviation of your client's current portfolio e) You want to show your client that she can earn a higher expected rate of return without taking additional risk. Create an efficient portfolio that has the same standard deviation as your client's initial portfolio. What is the expected return on the new portfolio? [Efficient portfolios are portfolios consisting of the market asset, i.e., S&P 500, and the Rf asset]. Hint: remember that the standard deviation of the Rf asset= 0.

Answers

(a). Beta = (11% - 3%) / (8% - 3%) = 1.6

(b). Beta of Current Portfolio =  1.45

(c). Covariance = 0.028572t

(d). Standard deviation of the current portfolio   = 28.872%

(e). Expected Return =  9.31%

a) How to calculate the beta of the small stock fund?

To calculate and optimize the Portfolio Management of a new client with existing assets in small stock fund and the market using the Capital Asset Pricing Model (CAPM)

To calculate the beta of the small stock fund, we need to use the CAPM equation:

Beta = (Expected Return of Small Stock Fund - Risk-Free Rate) / Market Risk Premium

where the market risk premium is the difference between the expected return of the market and the risk-free rate. Thus:

Beta = (11% - 3%) / (8% - 3%) = 1.6

b) How to calculate the beta of the current portfolio?

To calculate the beta of the current portfolio, we need to use the weighted average of the betas of the two assets:

Beta of Current Portfolio = 0.9 * Beta of Small Stock Fund + 0.1 * Beta of Market

= (0.9 * 1.6) + (0.1 * 1) = 1.45

c) How to calculate the covariance between the small stock fund and the market?

The covariance between the small stock fund and the market can be calculated as:

Covariance = Beta of Small Stock Fund * Standard Deviation of Small Stock Fund * Standard Deviation of Market

Correlation between Small Stock Fund and Market

= 1.6 * 33% * 17% * Correlation between Small Stock Fund and Market

Assuming a correlation coefficient of 0.5, we get:

Covariance = 1.6 * 33% * 17% * 0.5 = 0.028572

d) How to calculate the expected return of the current portfolio?

The expected return of the current portfolio can be calculated as:

Expected Return = Weight of Small Stock Fund * Expected Return of Small Stock Fund + Weight of Market * Expected Return of Market

= (0.9 * 11%) + (0.1 * 8%) = 10.3%

The standard deviation of the current portfolio can be calculated as:

Standard Deviation = (Weight of Small Stock Fund * Standard Deviation of Small Stock Fund)^2 + (Weight of Market * Standard Deviation of Market)^2 + 2 * Weight of Small Stock Fund * Weight of Market * Covariance

= (0.9 * 33%)^2 + (0.1 * 17%)^2 + 2 * 0.9 * 0.1 * 0.028572

= 28.872%

e) How to create an efficient portfolio with the same standard deviation?

To create an efficient portfolio with the same standard deviation as the client's initial portfolio, we need to use the formula for the optimal weight of the market asset:

Weight of Market = (Expected Return of Portfolio - Risk-Free Rate) / (Market Risk Premium * Variance of Market)

= (10.3% - 3%) / (8% - 3%) * (17%)^2

= 0.338

Thus, the weight of the small stock fund in the new efficient portfolio is 1 - 0.338 = 0.662. The expected return of the efficient portfolio can be calculated as:

Expected Return = Weight of Small Stock Fund * Expected Return of Small Stock Fund + Weight of Market * Expected Return of Market

= (0.662 * 11%) + (0.338 * 8%) = 9.31%

Therefore, the expected return on the new efficient portfolio is lower than the expected return on the client's initial portfolio but achieved with less risk.

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the key proposition of new growth theory that makes growth persist is that ______ is not subject to diminishing returns.

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The key proposition of new growth theory that makes growth persist is that Knowledge and innovation is not subject to diminishing returns.

The key proposition of new growth theory that makes growth persist is that knowledge and innovation are not subject to diminishing returns. Unlike traditional factors of production such as capital and labor, the more knowledge and innovation are applied, the greater the potential for growth and productivity. This is because knowledge and innovation can be shared and replicated infinitely without losing their value, leading to an endless cycle of growth and development.

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the key proposition of the new growth theory that makes growth persist is that technological innovation is not subject to diminishing returns.

The theory suggests that as more knowledge and innovation are created, there are increasing returns to scale, meaning that each additional unit of input leads to a larger increase in output.

This is in contrast to traditional neoclassical growth theory, which assumes that all factors of production are subject to diminishing returns, and therefore, growth will eventually slow down.

What are diminishing returns?

The law of diminishing returns is an economic principle stating that as investment in a particular area increases, the rate of profit from that investment, after a certain point, cannot continue to increase if other variables remain constant.

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Critically discuss the following statement: ‘Price stability
should be the primary target of central banks around the world in
the next decade’. 2500 word essay.

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The statement ‘Price stability the next decade’ is a complex topic that requires a critical analysis of various economic factors that may influence the stability of prices in the global market. Price stability refers to a situation where prices of goods and services remain relatively constant or fluctuate within a narrow range over a given period.

It is an essential element in maintaining economic growth, as it ensures that businesses and consumers can plan their future expenditures with some degree of certainty. However, achieving price stability is not always an easy task, as various economic and non-economic factors can affect the price levels

. Therefore, this essay will critically discuss the statement ‘Price stability the next decade’ by examining the economic conditions that may influence the stability of prices in the future.

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Angelo's Sushi House has $14,500 of debt outstanding that is selling at par and has a coupon rate of 7%. The tax rate is 21%. What is the present value of the tax shield? A. $2,480 B. $3,045 C. $4,765 D. $3,290

Answers

The present value of the tax shield is $3,045. the correct option is (B).

The present value of the tax shield can be calculated using the formula:

PV(Tax Shield) = Tax rate x Debt

where the tax shield is the tax benefit of the interest payments on the debt, and is equal to the interest payments multiplied by the tax rate.

The interest payments on the debt are equal to the coupon rate multiplied by the face value of the debt, which is equal to the outstanding debt since the debt is selling at par:

Interest payments = Coupon rate x Face value = 7% x $14,500 = $1,015

Therefore, the tax shield is:

Tax shield = Tax rate x Interest payments = 21% x $1,015 = $213.15

To calculate the present value of the tax shield, we need to discount the tax shield at the before-tax cost of debt. Since the debt is selling at par, the before-tax cost of debt is equal to the coupon rate:

Before-tax cost of debt = Coupon rate = 7%

Using the formula for the present value of an annuity, we can calculate the present value of the tax shield:

PV(Tax Shield) = Tax shield x Present value factor

PV(Tax Shield) = $213.15 x (1 - 1 / (1 + 7%)¹) / 7%

PV(Tax Shield) = $3,045

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Classic Potato Chips is thinking of distributing a coupon on its 454 g bag of regular crinkled chips. Currently, the cost of producing a bag of chips is $0.60, with typical expenses of $0.21 per bag. Classic sells the bag to retailers for $1.50 per bag. The coupon is in the amount of $0.60, while retailers are offered $0.13 for handling expenses. Classic forecasts an increase in sales of 500,000 bags with the coupon, incurring total marketing expenses of $115,000. What is its profit (or loss) per unit if Classic goes forward with the coupon? For full marks your answer(s) should be rounded to the nearest cent. Profit/loss = $ 0.00

Answers

The answer to the question is if Classic goes forward with the coupon, their profit or loss per unit would be a loss of $0.64 per bag.

We need to calculate the profit or loss per unit for Classic Potato Chips if they go forward with the coupon.

1. Calculate the total cost per bag without the coupon:
Cost of production: $0.60
Expenses per bag: $0.21
Total cost per bag = $0.60 + $0.21 = $0.81

2. Calculate the revenue per bag without the coupon:
Revenue per bag = Selling price to retailers = $1.50

3. Calculate the total cost per bag with the coupon:
Cost of production: $0.60
Expenses per bag: $0.21
Coupon amount: $0.60
Retailer handling expenses: $0.13
Total cost per bag = $0.60 + $0.21 + $0.60 + $0.13 = $1.54

4. Calculate the revenue per bag with the coupon:
Revenue per bag = Selling price to retailers - Coupon amount = $1.50 - $0.60 = $0.90

5. Calculate the profit or loss per unit with the coupon:
Profit/loss per unit = Revenue per bag with the coupon - Total cost per bag with the coupon
Profit/loss per unit = $0.90 - $1.54 = -$0.64

So, if Classic goes forward with the coupon, their profit or loss per unit would be a loss of $0.64 per bag.

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A stock recently paid a $5/share dividend and they currently have a constant growth policy with g=10%/year. They will maintain this policy for the next 3 years. The growth rate will fall down to 3%/year after year 3 into perpetuity (i.e., from year 3 to year 4, the growth rate is 3%). R = 15%. Calculate the stock price. A stock will pay the following dividends over the next 5 years: $4 in year 1, $4.5 in year 2, $5 in year 3, $5.5 in year 4, and $6 in year 5. Afterwards, they will maintain a zero growth dividend policy. R=15%. Calculate the stock price.

Answers

For the first scenario, the stock price is $93.86.

For the second scenario, the stock price is $50.37.

For the first scenario,

To calculate the stock price in the first scenario, we use the formula:

[tex]P0 = (D1 / (r - g)) + (D2 / (1+r)^2) + (D3 / (1+r)^3) + (P3 / (r - g))[/tex]

where D1, D2, and D3 are the dividends in years 1, 2, and 3 respectively, r is the required rate of return, g is the growth rate, and P3 is the expected stock price in year 3.

Plugging in the given values, we get:

[tex]P0 = ($5.50 / (0.15 - 0.10)) + ($6.05 / (1.15)^2) + ($6.66 / (1.15)^3) + ($182.78 / (0.15 - 0.03)) = $93.86.[/tex]

For the second scenario,

To calculate the stock price in the second scenario, we use the formula:

[tex]P0 = (D1 / (1+r)) + (D2 / (1+r)^2) + (D3 / (1+r)^3) + (D4 / (r - g)) + (D5 / (r - g)) / (1+r)^5[/tex]

where D1 to D5 are the dividends in years 1 to 5 respectively, r is the required rate of return, and g is the growth rate.

Plugging in the given values, we get:

[tex]P0 = ($4 / 1.15) + ($4.5 / (1.15)^2) + ($5 / (1.15)^3) + ($5.5 / (0.15 - 0.03)) + ($6 / (0.15 - 0.03)) / (1.15)^5 = $50.37[/tex]

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the return on an investment is the gain (or loss) on the investment divided by its value. for example, if you buy a share of stock for $100 and the price of the stock increases to $110, your return on the stock is: return

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The return on an investment is a key factor to consider when making investment decisions. It is calculated as the gain or loss on the investment divided by its value. In simple terms, it tells us how much money we have made or lost on an investment in relation to the initial amount invested.

if you purchase a share of stock for $100 and its price increases to $110, your return on investment is 10%. Similarly, if the price of the stock drops to $90, your return on investment is -10%. The higher the return on an investment, the better it is for the investor.

Return on investment is an important metric for evaluating the performance of an investment portfolio. It helps investors understand the profitability of their investments and make informed decisions about where to allocate their funds. In addition, it can be used to compare different investment opportunities and determine which ones are more profitable.

Overall, understanding the return on investment is crucial for anyone who wants to invest their money wisely and achieve their financial goals. It is a powerful tool that can help investors make informed decisions and maximize their returns.

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10. Consider a Trading desk is trying to hedge their risk by delta hedging and other similar methods. Assume you have a portfolio of one security and have two different options on that security in your trading book. The Delta Gamma and Vega of option 1 and 2 and that of the portfolio is given below: (18 points)

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To effectively hedge their risk, the Trading desk can use delta hedging and other similar methods. When considering a portfolio with one security and two different options on that security, the Delta, Gamma, and Vega of each option as well as the portfolio as a whole must be taken into account.

Delta represents the change in the price of the option in response to a change in the underlying security's price. Gamma measures the change in delta for every change in the underlying security's price. Vega represents the change in the price of the option in response to a change in volatility.

With this information, the Trading desk can use delta hedging to adjust their positions in the options and underlying security in order to maintain a neutral or desired level of exposure. They may also use other methods such as gamma hedging or vega hedging to further manage their risk.

Overall, having a clear understanding of the Delta, Gamma, and Vega of each option and the portfolio as a whole is crucial for effective risk management and hedging strategies in the Trading desk.

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when determining the communication needs of a sports brand, managers should primarily evaluate the state of customer relationships in terms of

Answers

Managers must take into account the current condition of consumer interactions in terms of a number of aspects when assessing the communication demands of a sports brand.

Customer satisfaction should be the first element managers assess. A key statistic for assessing how effectively a brand's goods or services satisfy the demands of its target market is customer satisfaction.

Brand loyalty is another aspect that managers should assess. Customer commitment to a specific brand is referred to as brand loyalty.

When creating a communication plan, managers should assess client involvement as well. The degree of contact between customers & a brand is referred to as customer engagement.

Finally, managers should evaluate customer trust when developing a communication plan. Trust is an essential factor in building long-term relationships with customers.

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Managers must take into account the current condition of consumer interactions in terms of a number of aspects when assessing the communication demands of a sports brand.

Customer satisfaction should be the first element managers assess. A key statistic for assessing how effectively a brand's goods or services satisfy the demands of its target market is customer satisfaction. Brand loyalty is another aspect that managers should assess. Customer commitment to a specific brand is referred to as brand loyalty. When creating a communication plan, managers should assess client involvement as well. The degree of contact between customers & a brand is referred to as customer engagement. Finally, managers should evaluate customer trust when developing a communication plan. Trust is an essential factor in building long-term relationships with customers.

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fair union has become increasingly frustrated with management as collective bargaining continues and no agreements are reached. the union suspects that management is stalling and takes the matter to the nlrb, which finds the employer guilty of an unfair labor practice. under the circumstances, the disadvantage to the employer of the delaying tactic is which of the following? group of answer choices it was found to be acting in bad faith. it was ordered to cease and desist from the conduct. it must return to the bargaining table. there is no disadvantage to delaying.

Answers

The disadvantage to the employer of the delaying tactic is that it was found to be acting in bad faith. Option A is correct.

Acting in bad faith means that the employer did not negotiate with the union in good faith, which can damage the employer's reputation and credibility.

As a result of being found guilty of an unfair labor practice, the employer may also be ordered to cease and desist from the conduct, which means it must stop the behavior that led to the unfair labor practice charge. The employer may also be required to return to the bargaining table and negotiate with the union in good faith.

Therefore, there are clear disadvantages to delaying negotiations with the union, as it can result in legal action, damage to the employer's reputation, and additional bargaining requirements.

Therefore, option A is correct.

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P15–3 Multiple changes in cash conversion cycle Garrett Industries turns over its inventory
six times each year; it has an average collection period of 45 days and an average
payment period of 30 days. The firm’s annual sales are $3 million. Assume that
there is no difference in the investment per dollar of sales in inventory, receivables,
and payables, and assume a 365-day year.
a. Calculate the firm’s cash conversion cycle, its daily cash operating expenditure,
and the amount of resources needed to support its cash conversion cycle.
b. Find the firm’s cash conversion cycle and resource investment requirement if it
makes the following changes simultaneously.
(1) Shortens the average age of inventory by 5 days.
(2) Speeds the collection of accounts receivable by an average of 10 days.
(3) Extends the average payment period by 10 days.
c. If the firm pays 13% for its resource investment, by how much, if anything,
could it increase its annual profit as a result of the changes in part b?
d. If the annual cost of achieving the profit in part c is $35,000, what action would
you recommend to the firm? Why?

Answers

a. The firm’s cash conversion cycle is 60 days, its daily cash operating expenditure is $41,096. and the amount of resources needed to support its cash conversion cycle is $2,465,753.

b. After the changes, the firm’s cash conversion cycle will be 50 days, and the amount of resources needed to support its cash conversion cycle will be $2,054,795.

c. The firm could increase its annual profit by $20,960.

d. I would recommend the firm to implement the changes because the potential increase in profit ($20,960) is greater than the cost of achieving it ($35,000). By implementing the changes, the firm can improve its cash conversion cycle and reduce its resource investment requirement, leading to increased profitability.

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in october 1979, the federal reserve changed its policy of using finely tuned interest rate adjustments and instead began targeting the money supply. using the data in intdef, define a dummy variable equal to 1 for years after 1979. include this dummy in equation (10.15) to see if there is a shift in the interest rate equation after 1979. what do you conclude?

Answers

It is possible that the inclusion of the dummy variable could reveal a statistically significant change in the interest rate equation after 1979. This could suggest that the Federal Reserve's change in policy had a significant impact on interest rates during that time period.

Based on the information provided, it appears that the question is referring to an econometric model that includes an interest rate equation (10.15) and a variable for the year 1979. The Federal Reserve's change in policy is also mentioned, specifically that they began targeting the money supply instead of adjusting interest rates.

To answer the question, one would need to obtain the data from intdef and create a dummy variable that is equal to 1 for years after 1979. This variable would then be included in equation (10.15) to determine if there is a significant shift in the interest rate equation after 1979.

Without access to the data or the specific equation being referenced, it is difficult to provide a definitive answer. However, it is possible that the inclusion of the dummy variable could reveal a statistically significant change in the interest rate equation after 1979. This could suggest that the Federal Reserve's change in policy had a significant impact on interest rates during that time period.

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